infect_v and_o animal_n animal_n its_o infect_v and_o animal_n as_o scorpion_n as_o big_a as_o rat_n but_o no_o way_n hurtful_a lizard_n so_o harmless_a that_o they_o frequent_v the_o house_n and_o love_v the_o company_n of_o man_n land_n crab_n in_o great_a abundance_n which_o be_v good_a to_o eat_v also_o muskettoe_n cockroche_n and_o merrywing_n which_o be_v very_o troublesome_a in_o the_o night_n in_o sting_v to_n it_o be_v division_n and_o to_n this_o isle_n be_v sever_v into_o eleven_o precinct_n or_o parish_n in_o which_o be_v fourteen_o church_n and_o chapel_n beside_o many_o place_n which_o may_v not_o improper_o be_v call_v town_n as_o compose_v of_o a_o long_a and_o spacious_a street_n and_o beautify_v with_o fair_a house_n and_o of_o late_a year_n the_o whole_a isle_n be_v so_o take_v up_o that_o there_o be_v no_o such_o thing_n as_o any_o waste_a ground_n it_o be_v chief_a town_n be_v 1._o st._n michael_n former_o call_v the_o bridge_n town_n or_o indian_a bridge_n seat_v at_o the_o bottom_n of_o carlisle_n bay_n which_o be_v very_o deep_a capacious_a and_o secure_a fit_a to_o give_v harbour_n for_o about_o 500_o vessel_n at_o one_o time_n the_o town_n be_v large_a and_o long_o contain_v several_a street_n and_o grace_v with_o above_o 500_o well_o build_v house_n it_o be_v very_o populous_a be_v the_o residence_n of_o the_o governor_n the_o place_n of_o judicature_n and_o the_o scale_n of_o trade_n where_o most_o of_o the_o merchant_n and_o factor_n in_o the_o isle_n have_v their_o storehouse_n for_o the_o negotiation_n of_o their_o affair_n in_o the_o supply_n the_o inhabitant_n with_o such_o commodity_n as_o they_o have_v occasion_n of_o in_o exchange_n of_o they_o the_o product_n of_o the_o isle_n for_o the_o security_n of_o the_o ship_n here_o be_v two_o strong_a fort_n opposite_a to_o each_o other_o with_o a_o platform_n in_o the_o midst_n which_o command_v the_o road_n all_o fortify_v with_o great_a gun_n etc._n etc._n 2._o little_a bristol_n 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with_o rock_n and_o shoal_n and_o where_o it_o be_v not_o thus_o defend_v by_o nature_n it_o be_v fortify_v with_o trench_n and_o rampire_n with_o pallisadoe_n curtain_n and_o counter-scarf_n and_o for_o its_o further_a defence_n have_v three_o fort_n one_o for_o a_o magazine_n and_o the_o other_o two_o for_o retreat_n they_o have_v also_o a_o stand_a militia_n consist_v of_o two_o regiment_n of_o horse_n and_o five_o of_o foot_n which_o be_v always_o to_o be_v ready_a at_o beat_v of_o drum_n inhabitant_n its_o inhabitant_n or_o sound_v of_o trumpet_n the_o inhabitant_n of_o this_o isle_n may_v be_v range_v under_o three_o sort_n viz._n master_n christian_a servant_n and_o negro-slave_n which_o be_v very_o numerous_a the_o master_n for_o the_o most_o part_n live_v at_o the_o height_n of_o pleasure_n the_o servant_n after_o the_o expiration_n of_o five_o year_n be_v freeman_n of_o the_o isle_n and_o employ_v their_o time_n according_a to_o their_o ability_n and_o capacity_n and_o the_o negro-slave_n be_v never_o out_o of_o bondage_n and_o the_o child_n they_o get_v be_v likewise_o perpetual_a slave_n these_o poor_a creature_n although_o they_o have_v such_o extreme_a hard_a usage_n for_o diet_n apparel_n or_o lodging_n and_o be_v hold_v to_o such_o hard_a labour_n and_o so_o ill_o treat_v by_o their_o master_n or_o overseer_n yet_o be_v well_o enough_o content_v with_o their_o condition_n and_o where_o they_o meet_v with_o kind_a master_n think_v nothing_o too_o much_o to_o do_v for_o they_o so_o that_o it_o be_v great_a inhumanity_n and_o pity_n to_o wrong_v they_o every_o sunday_n which_o be_v the_o only_a day_n of_o rest_n to_o they_o and_o shall_v be_v set_v apart_o for_o the_o service_n of_o god_n they_o employ_v either_o in_o get_v of_o the_o bark_n of_o tree_n and_o make_v of_o rope_n with_o it_o which_o they_o truck_v away_o for_o shirt_n drawer_n or_o other_o conveniency_n or_o else_o spend_v the_o day_n in_o dance_v wrestle_a describe_v isle_n of_o st._n christopher_n describe_v or_o other_o merriment_n st._n christopher_n so_o call_v from_o christopher_n columbus_n the_o first_o discover_v thereof_o seat_v in_o the_o latitude_n of_o 17_o degree_n 25_o minute_n in_o circuit_n about_o 75_o mile_n the_o soil_n be_v light_a and_o sandy_a and_o very_o apt_a to_o produce_v several_a sort_n of_o fruit_n provision_n and_o commodity_n as_o sugar_n tobacco_n cotton_n ginger_n etc._n etc._n this_o isle_n by_o reason_n of_o its_o several_a great_a and_o steep_a mountain_n in_o the_o midst_n from_o which_o spring_n the_o river_n which_o plentiful_o water_v the_o land_n many_o of_o which_o be_v hot_a and_o sulphurous_a with_o horrid_a precipice_n and_o thick_a wood_n render_v it_o impassable_a through_o the_o midst_n on_o the_o sea_n side_n be_v a_o salt_n pit_n not_o far_o from_o which_o be_v a_o small_a isthmus_n of_o land_n which_o reach_v within_o a_o mile_n and_o a_o half_a of_o the_o isle_n of_o neivis_n this_o isle_n be_v very_o delightful_a and_o of_o a_o most_o delectable_a prospect_n for_o if_o the_o eye_n be_v direct_v downward_o from_o the_o top_n it_o have_v a_o prospect_n of_o curious_a garden_n which_o gentle_o descend_v to_o the_o sea_n side_n and_o in_o regard_n of_o the_o continual_a ascent_n of_o the_o isle_n the_o low_a stage_n or_o story_n do_v not_o debar_v the_o eye_n of_o the_o pleasant_a prospect_n of_o that_o which_o lie_v at_o a_o remote_a distance_n which_o be_v terminate_v by_o those_o high_a mountain_n and_o that_o which_o make_v the_o prospect_n the_o more_o delectable_a in_o the_o several_a plantation_n be_v the_o fair_a house_n cover_v with_o glaze_v slate_n this_o isle_n be_v divide_v into_o four_o canton_n or_o quarter_n two_o of_o which_o be_v possess_v by_o the_o english_a and_o two_o by_o the_o french_a which_o part_n be_v not_o so_o well_o water_v as_o those_o of_o the_o english_a but_o better_a for_o tillage_n and_o not_o so_o hilly_a the_o english_a have_v two_o fortify_v place_n one_o command_v the_o great_a haven_n and_o the_o other_o a_o descent_n not_o far_o from_o point_n de_fw-fr sable_a and_o the_o french_a have_v four_o strong_a fort_n the_o chief_a of_o which_o command_v the_o haven_n and_o be_v call_v basse_fw-fr terre_n and_o for_o the_o better_a security_n of_o each_o other_o constant_a guard_n at_o their_o fort_n be_v keep_v in_o the_o part_n belong_v to_o the_o english_a be_v five_o church_n for_o divine_a worship_n the_o chief_a place_n belong_v to_o the_o french_a be_v at_o basse-terre_n be_v a_o town_n of_o a_o good_a bigness_n and_o garnish_v with_o well_o build_v house_n where_o the_o merchant_n have_v their_o storehouse_n and_o be_v well_o inhabit_a here_o be_v a_o large_a and_o fair_a church_n also_o a_o public_a hall_n for_o the_o administration_n of_o justice_n a_o fair_a hospital_n for_o sick_a people_n and_o a_o stately_a castle_n which_o be_v the_o residence_n of_o the_o governor_n of_o a_o most_o pleasant_a situation_n on_o the_o foot_n of_o a_o high_a mountain_n not_o far_o from_o the_o sea_n have_v spacious_a court_n delightful_a walk_n and_o garden_n describe_v nieves_n describe_v nieves_n or_o mevis_n not_o far_o from_o st._n christopher_n as_n before_o note_v of_o a_o small_a extent_n not_o exceed_v 18_o mile_n in_o circuit_n in_o the_o midst_n of_o the_o isle_n be_v a_o mountain_n of_o a_o great_a height_n but_o of_o a_o easy_a access_n and_o well_o clothe_v with_o wood_n and_o about_o this_o mountain_n be_v the_o plantation_n which_o reach_v to_o the_o seashore_n here_o be_v divers_a spring_n of_o fresh_a water_n and_o one_o of_o a_o hot_a and_o mineral_n quality_n not_o far_o from_o who_o spring_n head_n be_v bath_n make_v which_o be_v much_o resort_v unto_o it_o be_v indifferent_a fertile_a and_o have_v store_n of_o deer_n and_o other_o game_n for_o hunt_v and_o be_v find_v to_o
parallel_n long_a day_n elevation_n of_o the_o pole_n the_o interval_n  _fw-fr  _fw-fr hour_n min._n deg_fw-la min._n  _fw-fr  _fw-fr the_o first_o the_o begin_n middle_a end_n &_o begin_n of_o the_o 2._o 12_o 0_o 0_o 0_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr 12_o 15_o 4_o 15_o 0_o 1_o  _fw-fr  _fw-fr 12_o 30_o 8_o 25_o 8_o 25_o  _fw-fr  _fw-fr 12_o 45_o 12_o 30_o  _fw-fr  _fw-fr the_o second_o the_o middle_a the_o end_n 13_o 0_o 16_o 25_o 8_o  _fw-fr  _fw-fr  _fw-fr 13_o 15_o 20_o 15_o  _fw-fr  _fw-fr the_o three_o the_o middle_a the_o end_n 13_o 30_o 23_o 50_o 7_o 25_o  _fw-fr  _fw-fr 13_o 45_o 27_o 40_o  _fw-fr  _fw-fr the_o four_o the_o middle_a the_o end_n 14_o 0_o 30_o 20_o 6_o 30_o  _fw-fr  _fw-fr 14_o 15_o 33_o 40_o  _fw-fr  _fw-fr the_o five_o the_o middle_a the_o end_n 14_o 30_o 36_o 28_o 6_o 8_o  _fw-fr  _fw-fr 14_o 45_o 39_o 2_o  _fw-fr  _fw-fr the_o six_o the_o middle_a the_o end_n 15_o 0_o 41_o 22_o 4_o 52_o  _fw-fr  _fw-fr 15_o 15_o 43_o 32_o  _fw-fr  _fw-fr the_o seven_o the_o middle_a the_o end_n 15_o 30_o 45_o 29_o 4_o 7_o  _fw-fr  _fw-fr 15_o 45_o 47_o 20_o  _fw-fr  _fw-fr the_o eighth_z the_o middle_a the_o end_n 16_o 0_o 49_o 1_o 3_o 31_o  _fw-fr  _fw-fr 16_o 15_o 50_o 33_o  _fw-fr  _fw-fr the_o nine_o the_o middle_a the_o end_n 16_o 30_o 51_o 58_o 2_o 7_o  _fw-fr  _fw-fr 16_o 45_o 53_o 17_o  _fw-fr  _fw-fr the_o ten_o the_o middle_a the_o end_n 17_o 0_o 54_o 27_o 2_o 49_o  _fw-fr  _fw-fr 17_o 15_o 55_o 34_o  _fw-fr  _fw-fr the_o eleven_o the_o middle_a the_o end_n 17_o 30_o 56_o 37_o 2_o 10_o  _fw-fr  _fw-fr 17_o 45_o 57_o 32_o  _fw-fr  _fw-fr the_o twelve_o the_o middle_a the_o end_n 18_o 0_o 58_o 29_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr 18_o 15_o 59_o 14_o  _fw-fr  _fw-fr the_o thirteen_o the_o middle_a the_o end_n 18_o 30_o 59_o 58_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr 18_o 45_o 60_o 40_o  _fw-fr  _fw-fr the_o fourteen_o the_o middle_a the_o end_n 19_o 0_o 61_o 18_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr 19_o 15_o 61_o 55_o  _fw-fr  _fw-fr the_o fifteen_o the_o middle_a the_o end_n 19_o 30_o 62_o 25_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr 19_o 45_o 62_o 54_o  _fw-fr  _fw-fr the_o sixteenth_o the_o middle_a the_o end_n 20_o 0_o 63_o 22_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr 20_o 15_o 64_o 40_o  _fw-fr  _fw-fr the_o seventeen_o the_o middle_a the_o end_n 20_o 30_o 64_o 6_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr 20_o 45_o 64_o 30_o  _fw-fr  _fw-fr the_o eighteen_o the_o middle_a the_o end_n 21_o 0_o 65_o 49_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr 21_o 15_o 65_o 6_o  _fw-fr  _fw-fr the_o nineteenth_o the_o middle_a the_o end_n 21_o 30_o 65_o 21_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr 21_o 45_o 65_o 35_o  _fw-fr  _fw-fr the_o twenty_o the_o middle_a the_o end_n 22_o 0_o 65_o 47_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr 22_o 15_o 66_o 57_o  _fw-fr  _fw-fr the_o 21_o the_o middle_a the_o end_n 22_o 30_o 66_o 6_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr 22_o 45_o 66_o 14_o  _fw-fr  _fw-fr the_o 22d_o the_o middle_a the_o end_n 23_o 0_o 66_o 20_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr 23_o 15_o 66_o 25_o  _fw-fr  _fw-fr the_o 23d_o the_o middle_a the_o end_n 23_o 30_o 66_o 28_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr 23_o 45_o 66_o 30_o  _fw-fr  _fw-fr the_o 24_o the_o middle_a the_o end_n 24_o 0_o 66_o 31_o  _fw-fr  _fw-fr the_o climate_n be_v wont_a to_o be_v extend_v no_o further_o because_o that_o in_o the_o follow_a place_n the_o long_a day_n do_v not_o increase_v by_o hour_n but_o by_o whole_a day_n or_o diurnal_a revolution_n and_o it_o be_v lose_v labour_n to_o compute_v they_o notwithstanding_o the_o follow_a canon_n will_v show_v the_o elevation_n of_o the_o pole_n or_o latitude_n of_o the_o place_n where_o the_o long_a day_n increase_v by_o whole_a month_n month_n 1_o 2_o 3_o 4_o 5_o 6_o the_o latitude_n of_o the_o place_n deg_fw-la min._n deg_fw-la min._n deg_fw-la min._n deg_fw-la min._n deg_fw-la min._n deg_fw-la min._n  _fw-fr 67_o 20_o 69_o 30_o 73_o 20_o 78_o 20_o 84_o 0_o 90_o 0_o proposition_n fourteen_o to_o explain_v the_o method_n of_o other_o geographer_n in_o reckon_n of_o the_o climate_n and_o make_v the_o table_n of_o the_o climate_n geographer_n the_o division_n of_o the_o earth_n into_o climate_n by_o the_o ancient_a geographer_n the_o ancient_a geographer_n especial_o the_o grecian_n who_o suppose_v only_o a_o small_a portion_n of_o the_o earth_n to_o be_v inhabit_v because_o that_o as_o well_o the_o place_n northern_o as_o those_o of_o the_o torrid_a zone_n they_o deny_v as_o impossible_a to_o be_v inhabit_v therefore_o they_o divide_v only_o that_o portion_n of_o the_o earth_n which_o they_o know_v into_o climate_n and_o so_o only_o number_v seven_o climate_n from_o the_o aequator_fw-la towards_o the_o pole_n arctic_a and_o name_v they_o from_o some_o note_a place_n through_o which_o the_o parallel_n of_o the_o climate_n pass_v viz._n the_o first_o climate_n they_o call_v the_o climate_n through_o meroe_n which_o be_v a_o island_n and_o city_n in_o africa_n encompass_v by_o the_o nile_n the_o second_o through_o syene_n a_o city_n of_o egypt_n the_o three_o through_o alexandria_n in_o egypt_n the_o four_o through_o the_o island_n of_o rhodes_n the_o five_o through_o the_o hellespont_n other_o through_o rome_n the_o six_o through_o borysthenes_n a_o famous_a river_n of_o the_o european_a sarmatia_n the_o seven_o through_o the_o riphaean_a mountain_n of_o sarmatia_n the_o ancient_n number_v not_o the_o other_o climate_n from_o the_o other_o side_n of_o the_o aequator_fw-la towards_o the_o south_n because_o all_o those_o place_n be_v unknown_a to_o they_o and_o many_o thought_n that_o the_o sea_n possess_v all_o the_o superficies_n of_o the_o earth_n which_o see_v it_o seem_v somewhat_o improbable_a to_o the_o latter_a these_o also_o number_v the_o climate_n from_o the_o other_o side_n of_o the_o aequator_fw-la and_o they_o name_v they_o not_o from_o any_o note_a place_n for_o they_o have_v no_o knowledge_n of_o any_o but_o by_o the_o same_o appellation_n with_o those_o of_o the_o northern_a only_o prepose_v the_o preposition_n 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d as_o the_o climate_n 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d as_o if_o you_o shall_v say_v the_o climate_n opposite_a to_o the_o climate_n through_o meroe_n or_o syene_n etc._n etc._n ancient_n other_o climate_n add_v by_o the_o ancient_n but_o when_o through_o progress_n of_o time_n they_o discover_v many_o part_n of_o the_o earth_n lie_v towards_o the_o south_n pole_n to_o be_v inhabit_v many_o more_o climate_n be_v number_v and_o constitute_v some_o name_v the_o eight_o clime_n from_o the_o palus_n maeotis_n the_o nine_o from_o the_o baltic_a sea_n the_o ten_o the_o eleven_o and_o the_o rest_n from_o other_o place_n which_o denomination_n although_o not_o necessary_a for_o the_o construction_n of_o a_o table_n yet_o they_o may_v be_v add_v unto_o our_o table_n in_o those_o areae_fw-la where_o we_o have_v place_v the_o number_n of_o the_o climate_n for_o so_o the_o climate_n will_v stick_v close_o in_o our_o memory_n as_o also_o the_o place_n in_o 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for_o some_o day_n above_o the_o horizon_n before_o the_o centre_n itself_o arise_v by_o reason_n that_o the_o half_a sun_n possess_v 15_o minute_n in_o the_o heaven_n for_o example_n let_v we_o take_v those_o place_n who_o distance_n be_v from_o the_o aequator_fw-la 67_o degree_n towards_o the_o pole_n arctic_a let_v the_o pole_n be_v elevate_v according_a to_o this_o latitude_n and_o in_o the_o meridian_n crena_n of_o the_o horizon_n you_o shall_v see_v that_o the_o degree_n of_o the_o ecliptic_a do_v not_o arise_v from_o the_o 19_o degree_n of_o sagittarius_fw-la to_o the_o 11_o of_o capricorn_n that_o be_v the_o centre_n of_o the_o sun_n be_v in_o that_o arch_n do_v not_o arise_v for_o 24_o day_n viz._n from_o the_o 10_o of_o december_n to_o the_o four_o of_o january_n and_o yet_o part_v of_o the_o skirt_n of_o the_o sun_n for_o that_o whole_a time_n shall_v be_v above_o the_o horizon_n to_o wit_n on_o the_o 21_o of_o december_n the_o limbus_n glitter_v the_o horizon_n but_o on_o the_o 10_o of_o december_n as_o also_o on_o the_o first_o of_o january_n half_o the_o sun_n shall_v be_v above_o the_o horizon_n and_o half_o beneath_o because_o the_o centre_n be_v then_o in_o the_o horizon_n but_o the_o whole_a sun_n shall_v be_v elevate_v above_o the_o horizon_n when_o the_o centre_n of_o the_o sun_n shall_v hold_v the_o 14_o degree_n of_o capricorn_n that_o be_v about_o the_o 4_o day_n of_o january_n also_o the_o whole_a shall_v afterward_o appear_v when_o his_o centre_n shall_v possess_v the_o 16_o degree_n of_o sagittarius_fw-la that_o be_v about_o the_o 7_o of_o december_n but_o in_o place_n where_o the_o elevation_n of_o the_o pole_n be_v 70_o or_o 75_o degree_n there_o this_o difference_n between_o the_o oriental_a limbus_n and_o the_o oriental_a centre_n be_v very_o little_a so_o that_o the_o limbus_n or_o skirt_n scarce_o anticipate_v the_o rise_n of_o the_o centre_n of_o the_o sun_n one_o day_n or_o half_o a_o day_n from_o this_o small_a of_o depression_n it_o follow_v also_o that_o they_o enjoy_v the_o light_n of_o the_o crepusculum_fw-la many_o hour_n before_o the_o rise_n and_o after_o the_o set_n of_o the_o sun_n and_o although_o the_o sun_n arise_v not_o yet_o in_o all_o or_o many_o of_o the_o hour_n of_o the_o day_n they_o have_v light_n in_o the_o air._n there_o be_v also_o another_o cause_n 19_o see_v chap._n 19_o which_o make_v the_o sun_n first_o to_o be_v see_v before_o that_o he_o be_v elevate_v above_o the_o horizon_n for_o thence_o it_o come_v to_o pass_v that_o not_o only_o the_o sun_n be_v see_v before_o he_o be_v elevate_v above_o the_o horizon_n and_o before_o the_o ray_n can_v direct_o come_v from_o he_o to_o the_o eye_n but_o also_o that_o the_o light_n of_o the_o twilight_n soon_o illustrate_v
those_o under_o the_o seven_o which_o be_v subject_a to_o the_o moon_n pass_v through_o germany_n the_o low_a country_n and_o england_n which_o say_v planet_n have_v their_o operation_n or_o influence_n on_o the_o inhabitant_n dwell_v under_o each_o of_o the_o say_a clime_n so_o that_o although_o the_o glorious_a and_o eternal_a luminary_n of_o heaven_n have_v a_o efficacious_a operation_n yet_o notwithstanding_o the_o disposition_n of_o the_o earth_n have_v a_o far_o great_a prevalency_n see_v that_o through_o the_o various_a situation_n of_o hill_n and_o valley_n we_o experimental_o find_v more_o great_a and_o different_a effect_n of_o the_o celestial_a ray_n which_o be_v also_o contemporate_v by_o the_o river_n and_o lake_n this_o can_v be_v deny_v by_o no_o man_n that_o nature_n be_v admirable_a in_o her_o work_n sometime_o as_o it_o be_v on_o set_v purpose_n delude_v the_o curiosity_n of_o humane_a wisdom_n by_o recede_v from_o the_o ordinary_a law_n of_o cause_n who_o can_v render_v a_o sufficient_a reason_n of_o that_o which_o be_v testify_v by_o mariner_n concern_v the_o region_n of_o maliapur_n in_o which_o be_v seat_v calicut_n a_o exceed_o high_a mountain_n top_v the_o cloud_n divide_v this_o province_n throughout_o and_o end_v in_o a_o promontory_n which_o be_v now_o call_v comorium_n which_o although_o it_o have_v the_o same_o altitude_n of_o the_o pole_n yet_o when_o the_o winter_n rage_v and_o the_o water_n swell_v on_o the_o one_o side_n on_o the_o other_o side_n the_o field_n and_o town_n be_v scorch_a with_o excessive_a heat_n and_o the_o sea_n calm_a wherefore_o this_o diversity_n which_o be_v discover_v in_o the_o climate_n the_o situation_n of_o province_n contemporation_n of_o the_o air_n and_o element_n do_v various_o discriminate_a the_o constitution_n of_o man_n and_o those_o constitution_n their_o nature_n for_o the_o manner_n of_o the_o mind_n follow_v the_o temperament_n and_o disposition_n of_o the_o body_n the_o septentrional_a or_o northern_a people_n be_v remote_a from_o the_o sun_n and_o by_o consequence_n inhabit_v in_o cold_a country_n be_v sanguine_a robu_v full_a of_o valour_n and_o animosity_n hence_o they_o have_v always_o be_v victorious_a and_o predominant_a over_o the_o meridional_a or_o southern_a nation_n as_o the_o assyrian_n over_o the_o chaldean_n the_o mede_n over_o the_o assyrian_n the_o parthian_n over_o the_o grecian_n the_o turk_n over_o the_o arabian_n the_o goths_z over_o the_o german_n the_o romans_z over_o the_o african_n and_o the_o english_a over_o the_o french_z they_o love_v freedom_n and_o liberty_n as_o those_o also_o do_v which_o be_v mountaineer_n as_o the_o helvetian_o grison_n and_o cantabrians_n the_o nation_n proximate_v to_o the_o sun_n have_v their_o blood_n whole_o exsiccate_v by_o immoderate_a heat_n hence_o the_o inhabitant_n of_o those_o place_n be_v melancholy_a and_o profound_a in_o the_o penetrate_a of_o the_o secret_n of_o nature_n for_o all_o the_o northern_a nation_n receive_v the_o mystery_n of_o the_o science_n from_o the_o egyptian_n and_o arabian_n the_o province_n which_o be_v immediate_o between_o both_o torrid_a zone_n enjoy_v a_o a_o benign_a heaven_n so_o that_o they_o flourish_n in_o religion_n justice_n and_o prudence_n the_o mutation_n of_o government_n the_o transmigration_n and_o emission_n of_o colony_n converse_n matrimony_n war_n and_o peace_n also_o the_o motion_n of_o the_o celestial_a sphere_n which_o drive_v from_o the_o pole_n and_o the_o zodiac_n of_o the_o primum_fw-la mobile_n the_o heavenly_a image_n on_o these_o inferior_a body_n do_v change_n and_o alter_v the_o habit_n manner_n and_o also_o nature_n itself_o if_o we_o have_v recourse_n unto_o history_n we_o shall_v find_v the_o german_n note_v of_o old_a for_o lofty_a mind_n and_o the_o italian_n on_o the_o contrary_a too_o abject_a and_o low_a which_o difference_n now_o can_v be_v discern_v nation_n have_v sway_v and_o be_v predominate_a by_o turn_n and_o as_o long_o as_o the_o monarchy_n have_v have_v duration_n among_o they_o virtue_n have_v flourish_v art_n and_o arm_n have_v go_v hand_n in_o hand_n which_o afterward_o with_o the_o ruin_n of_o the_o empire_n have_v be_v smother_v in_o its_o ash_n and_o receive_v vivification_n in_o another_o place_n yet_o notwithstanding_o these_o obstacle_n every_o nation_n have_v certain_a propension_n and_o fix_a affection_n appropriate_v to_o every_o one_o which_o will_v adhere_v to_o foreigner_n if_o that_o they_o long_o remain_v among_o they_o the_o intelligent_a reader_n who_o desire_v a_o knowledge_n in_o these_o and_o other_o particular_n with_o a_o throughout_o prospect_n of_o the_o utility_n of_o cosmography_n and_o geography_n may_v consult_v the_o work_n itself_o richard_z blome_n the_o content_n of_o the_o section_n and_o chapter_n general_z geography_n which_o may_v be_v divide_v into_o iii_o part_n 1._o the_o absolute_a part_n divide_v into_o five_o section_n the_o first_o section_n of_o thing_n to_o be_v foreknow_v chap._n 1._o of_o the_o precognita_n pag._n 1_o ch._n 2._o thing_n necessary_a to_o geometry_n and_o trigonometry_n p._n 6_o the_o second_o section_n explain_v the_o affection_n of_o the_o whole_a earth_n chap._n 3._o of_o the_o figure_n of_o the_o earth_n p._n 11_o chap._n 4._o of_o the_o dimension_n and_o magnitude_n of_o the_o same_o 15_o chap._n 5._o of_o the_o motion_n of_o the_o same_o p._n 23_o chap._n 6._o of_o its_o place_n in_o the_o system_fw-la of_o the_o world_n p._n 27_o chap._n 7._o of_o its_o substance_n and_o constitution_n p._n 30_o the_o three_o section_n in_o which_o the_o constitution_n and_o part_n of_o the_o earth_n be_v explain_v chap._n 8._o of_o the_o division_n of_o the_o earth_n by_o water_n p._n 35_o chap._n 9_o of_o mountain_n in_o general_a p._n 40_o chap._n 10._o of_o the_o difference_n of_o mountain_n p._n 46_o chap._n 11._o of_o wood_n desert_n and_o mine_n p._n 54_o the_o four_o section_n of_o hydrography_n in_o which_o the_o water_n and_o their_o property_n be_v explain_v chap._n 12._o of_o the_o division_n of_o the_o ocean_n throughout_o the_o earth_n p._n 57_o chap._n 13._o of_o the_o ocean_n and_o its_o part_n p._n 65_o chap._n 14._o of_o the_o motion_n of_o the_o sea_n especial_o of_o the_o flux_n and_o reflux_n p._n 83_o chap._n 15._o of_o lake_n pool_n and_o marsh_n p._n 102_o chap._n 16._o of_o river_n p._n 108_o chap._n 17._o of_o mineral_n water_n bath_n spaw_n etc._n etc._n p._n 130_o chap._n 18._o of_o the_o mutation_n of_o dry_a place_n into_o watery_a and_o the_o contrary_a p._n 142_o the_o five_o section_n of_o the_o atmosphere_n and_o wind_n chap._n 19_o of_o the_o atmosphere_n and_o air_n p._n 154_o chap._n 20._o of_o the_o wind_n in_o general_a p._n 179_o chap._n 21._o of_o the_o difference_n of_o wind_n and_o of_o they_o in_o particular_a p._n 187_o 2._o the_o respective_a part_n explain_v the_o celestial_a affection_n chap._n 22._o of_o the_o celestial_a affection_n in_o general_a p._n 2â—3_n ch._n 23._o of_o the_o latitude_n of_o a_o place_n and_o the_o elevation_n of_o the_o pole_n p._n 207_o chap._n 24._o of_o the_o division_n of_o the_o earth_n into_o zone_n p._n 213_o chap._n 25._o of_o the_o longitude_n of_o the_o day_n and_o division_n of_o the_o earth_n into_o climate_n p._n 220_o chap._n 26._o of_o the_o light_n heatt_z cold_a rains_n with_o other_o property_n of_o the_o zone_n according_a to_o the_o season_n of_o the_o year_n p._n 231_o chap._n 27._o of_o shadow_n and_o the_o division_n of_o the_o inhabitant_n in_o respect_n of_o the_o shadow_n p._n 259_o chap._n 28._o of_o the_o comparation_n of_o the_o celestial_a affection_n in_o divers_a place_n where_o be_v treat_v concern_v the_o antoeci_n perioeci_n and_o antipode_n p._n 269_o chap._n 29._o of_o the_o diversity_n of_o time_n in_o divers_a place_n p._n 275_o chap._n 30._o of_o the_o divers_a rise_n of_o the_o sun_n and_o moon_n and_o of_o the_o other_o appearance_n p._n 280_o 3._o the_o comparative_a part_n consider_v the_o affection_n which_o do_v arise_v from_o the_o compare_v of_o one_o place_n to_o another_o chap._n 31._o of_o the_o longitude_n of_o place_n p._n 291_o chap._n 32._o of_o the_o situation_n of_o place_n one_o to_o another_o p._n 309_o chap._n 33._o of_o the_o mutual_a distance_n of_o place_n p._n 335_o chap._n 34._o of_o the_o visible_a horizon_n p._n 342_o chap._n 35._o of_o the_o art_n of_o navigation_n in_o general_n and_o of_o the_o building_n of_o ship_n p._n 344_o chap._n 36._o of_o the_o lade_n or_o ballace_v of_o ship_n p._n 345_o chap._n 37._o of_o the_o directory_n of_o the_o nautick_a art_n in_o the_o first_o part_n the_o knowledge_n of_o the_o distance_n p._n 347_o chap._n 38._o thâ—â—â—â—ond_a part_n the_o knowledge_n of_o the_o quarter_n p._n 348_o chap._n 39_o the_o three_o part_n of_o histiodromia_n or_o the_o course_n of_o a_o ship_n p._n 353_o chap._n 40._o the_o four_o part_n of_o the_o
these_o be_v the_o three_o sort_n of_o property_n to_o be_v declare_v in_o special_a geography_n although_o those_o terrestrial_a property_n which_o make_v up_o the_o three_o rank_n be_v not_o so_o right_o refer_v to_o geography_n but_o we_o must_v yield_v somewhat_o to_o custom_n and_o the_o profit_n of_o learner_n we_o will_v beside_o these_o join_v many_o chapter_n to_o particular_a geography_n concern_v the_o practice_n of_o geography_n but_o in_o general_n geography_n which_o we_o will_v unfold_v in_o this_o book_n first_o the_o absolute_a property_n of_o the_o earth_n and_o its_o constitution_n be_v consider_v last_o in_o the_o comparative_a part_n those_o thing_n shall_v be_v propose_v which_o be_v offer_v unto_o we_o in_o the_o compare_v one_o place_n with_o another_o the_o principle_n of_o geography_n the_o principle_n which_o geography_n use_v for_o the_o confirm_v the_o truth_n of_o her_o proposition_n be_v threefold_a 1._o geometrical_a arithmetical_a and_o trigonometrical_a proposition_n 2._o astronomical_a precept_n and_o theorem_n although_o it_o may_v seem_v like_o a_o miracle_n for_o the_o knowledge_n of_o the_o earth_n in_o which_o we_o dwell_v to_o use_v the_o celestial_a body_n which_o be_v so_o many_o thousand_o mile_n remote_a from_o we_o 3._o experience_n for_o indeed_o the_o great_a part_n of_o geography_n especial_o that_o which_o be_v particular_a be_v uphold_v by_o the_o only_a experience_n and_o observation_n of_o man_n who_o have_v describe_v every_o country_n the_o order_n of_o geography_n concern_v the_o order_n which_o i_o esteem_v sit_v to_o observe_v in_o this_o art_n of_o geography_n it_o have_v be_v already_o speak_v in_o the_o division_n and_o explication_n of_o the_o property_n thereof_o yet_o here_o meet_v we_o a_o certain_a difficulty_n concern_v the_o order_n to_o be_v observe_v in_o the_o explication_n of_o these_o property_n forsooth_o whether_o to_o all_o country_n their_o own_o property_n be_v to_o be_v attribute_v or_o whether_o the_o country_n themselves_o be_v to_o be_v ascribe_v to_o the_o property_n general_o explicate_v aristotle_n in_o the_o first_o book_n of_o the_o history_n of_o live_v creature_n as_o also_o in_o his_o first_o book_n of_o the_o part_n of_o live_a creature_n move_v the_o like_a doubt_n and_o dispute_v it_o at_o large_a whether_o according_a to_o the_o single_a â—orts_n of_o live_a creature_n their_o property_n be_v single_o to_o be_v reckon_v up_o or_o else_o whether_o these_o property_n be_v general_o to_o be_v declare_v and_o the_o live_a creature_n in_o which_o the_o may_v be_v find_v be_v then_o to_o be_v subjoin_v the_o like_a difficulty_n occur_v also_o in_o other_o part_n of_o philosophy_n we_o in_o general_n geography_n have_v general_o unfold_v some_o property_n which_o in_o special_a geography_n we_o will_v apply_v to_o the_o application_n of_o single_a country_n the_o method_n of_o geography_n as_o touch_v the_o method_n and_o manner_n of_o prove_v the_o truth_n of_o geographical_a tenant_n very_o many_o be_v prove_v in_o general_a geography_n by_o demonstration_n proper_o so_o call_v especial_o celestial_a property_n but_o in_o special_a geography_n the_o celestial_a property_n only_o except_v which_o may_v be_v demonstrate_v be_v in_o a_o manner_n declare_v without_o demonstration_n because_o experience_n and_o observation_n do_v confirm_v they_o neither_o can_v they_o be_v prove_v by_o any_o other_o mean_n also_o very_a many_o proposition_n be_v prove_v or_o rather_o demonstrate_v by_o the_o terrestrial_a artificial_a globe_n and_o also_o by_o geographical_a map_n and_o some_o of_o these_o proposition_n which_o be_v thus_o explain_v upon_o the_o globe_n etc._n etc._n may_v be_v confirm_v by_o lawful_a demonstration_n again_o some_o proposition_n can_v in_o no_o wise_n be_v so_o prove_v but_o be_v therefore_o receive_v because_o we_o suppose_v that_o all_o place_n in_o the_o globe_n and_o map_n be_v so_o dispose_v even_o as_o they_o lie_v on_o the_o earth_n yet_o in_o these_o thing_n we_o will_v rather_o follow_v the_o description_n make_v by_o author_n of_o geography_n the_o globe_n and_o map_n serve_v for_o the_o clear_n and_o more_o easy_a comprehension_n thereof_o the_o original_a of_o geography_n the_o original_a of_o geography_n be_v not_o new_a nor_o bring_v into_o the_o world_n at_o one_o birth_n neither_o come_v she_o to_o we_o from_o one_o man_n but_o her_o principle_n and_o foundation_n be_v lay_v long_o ago_o yea_o many_o age_n since_o although_o ancient_a geographer_n be_v employ_v only_o in_o describe_v country_n which_o be_v the_o part_n of_o chorography_n and_o topography_n the_o roman_n be_v accustom_v when_o any_o country_n by_o they_o be_v subdue_v to_o show_v in_o their_o triumph_n the_o chorography_n thereof_o lively_o pencil_v and_o draw_v on_o a_o table_n and_o flourish_v with_o picture_n to_o the_o beholder_n there_o be_v beside_o at_o rome_n in_o lucullus_n his_o porch_n many_o table_n of_o geography_n expose_v to_o the_o view_n of_o all_o man_n the_o senate_n of_o rome_n about_o a_o hundred_o year_n before_o christ_n birth_n send_v surveyor_n and_o geographer_n into_o divers_a part_n of_o the_o world_n that_o they_o may_v measure_v out_o the_o earth_n but_o they_o come_v far_o short_a thereof_o neco_n king_n of_o the_o egyptian_n many_o age_n before_o the_o birth_n of_o christ_n command_v that_o the_o whole_a outer-side_n of_o africa_n shall_v be_v discover_v by_o the_o phoenician_n in_o three_o year_n space_n king_n darius_n command_v that_o the_o mouth_n of_o the_o river_n indus_n and_o the_o ethiopian_a eastern-sea_n shall_v be_v search_v out_o alexander_n the_o great_a in_o his_o voyage_n to_o asia_n take_v with_o he_o diognetus_n and_o beton_n as_o pliny_n note_v two_o surveyor_n and_o describer_n of_o his_o journey_n out_o of_o who_o annotation_n and_o journal_o geographer_n of_o succeed_a age_n take_v many_o thing_n imperfect_a ancient_a geography_n very_o imperfect_a but_o the_o geography_n of_o the_o ancient_n be_v very_o lame_a and_o imperfect_a for_o first_o they_o know_v not_o america_n in_o the_o least_o 2._o the_o northern-land_n 3._o the_o south-land_n and_o magellan_n be_v utter_o unknown_a to_o they_o 4._o they_o know_v not_o whether_o the_o earth_n may_v be_v sail_v about_o or_o the_o main_a ocean_n with_o a_o continual_a trace_n do_v encompass_v it_o but_o yet_o i_o deny_v not_o but_o that_o some_o of_o the_o ancient_n be_v of_o that_o opinion_n yet_o i_o utter_o deny_v they_o know_v it_o certain_o 5._o they_o know_v not_o whether_o the_o torrid_a zone_n be_v habitable_a 6._o they_o be_v ignorant_a of_o the_o true_a dimension_n of_o the_o earth_n although_o they_o write_v many_o thing_n in_o this_o business_n the_o excellency_n of_o geography_n first_o the_o study_n of_o geography_n be_v commend_v to_o we_o by_o the_o great_a worthiness_n thereof_o because_o it_o most_o of_o all_o become_v man_n be_v a_o inhabitant_n of_o the_o earth_n and_o endue_v with_o reason_n above_o all_o live_a creature_n second_o it_o be_v also_o a_o pleasant_a thing_n and_o indeed_o a_o honest_a recreation_n to_o contemplate_v the_o kingdom_n and_o property_n of_o the_o earth_n three_o the_o commodity_n and_o necessity_n of_o it_o be_v notable_a insomuch_o as_o neither_o divine_n physician_n lawyer_n historian_n nor_o other_o professor_n can_v want_v the_o knowledge_n thereof_o but_o the_o excellency_n of_o geography_n have_v be_v sufficient_o handle_v i_o place_v hereunder_o a_o table_n which_o open_v the_o order_n in_o special_a geography_n to_o the_o observe_v the_o explication_n of_o single_a country_n special_a geography_n consider_v in_o every_o region_n ten_o terrestrial_a 1._o limit_n and_o circumscription_n 2._o longitude_n of_o place_n and_o situation_n 3._o figure_n 4._o magnitude_n 5._o mountain_n the_o appellation_n situation_n and_o altitude_n their_o property_n and_o thing_n contain_v in_o they_o 6._o mine_n 7._o wood_n and_o desert_n 8._o water_n the_o sea_n lakes_n marsh_n river_n their_o spring_n inlet_n tract_n and_o latitude_n the_o quantity_n of_o water_n the_o celerity_n the_o quantity_n the_o cataract_n 9_o fertility_n sterility_n and_o fruit_n 10._o the_o animal_n eight_o celestial_a 1._o the_o distance_n of_o place_n from_o the_o aequator_fw-la and_o pole_n 2._o the_o obliquity_n of_o motion_n above_o the_o horizon_n 3._o the_o quantity_n of_o day_n 4._o the_o clime_n and_o zone_n 5._o the_o heat_n the_o season_n of_o the_o year_n the_o wind_n rain_n and_o other_o meteor_n 6._o the_o rise_n and_o stay_v of_o the_o star_n above_o the_o horizon_n 7._o the_o star_n pass_v through_o the_o vertex_fw-la of_o the_o place_n 8._o the_o celerity_n or_o quantity_n of_o their_o motion_n according_a to_o the_o hypothesis_n of_o copernicus_n ten_o human_a thing_n 1._o the_o stature_n life_n meat_n and_o drink_n and_o the_o original_a of_o the_o inhabitant_n 2._o the_o income_n art_n merchandise_n or_o traffic_n 3._o virtue_n and_o vice_n the_o genius_n and_o erudition_n 4._o
a_o b_o c_o d_o the_o distance_n from_o the_o verticle_n b_o g_o be_v observe_v by_o a_o quadrant_n let_v at_o alexandria_n in_o the_o day_n of_o the_o solstice_n 21_o of_o june_n g_o f_o or_o g_o f_o be_v observe_v 1_o 50_o of_o the_o periphery_a or_o 7_o degree_n 12_o minute_n but_o in_o syene_n let_v there_o be_v no_o distance_n the_o sun_n hang_v perpendicular_o over_o their_o head_n therefore_o b_o g_z shall_v be_v the_o arch_n intercept_v between_o those_o two_o place_n and_o because_o the_o distance_n put_v be_v 5000_o stadiums_n therefore_o according_a to_o the_o golden_a rule_n it_o shall_v be_v as_o 7_o degree_n 12_o part_n to_o one_o degree_n or_o as_o 1_o 50_o to_o 1_o 360_o or_o as_o 5_o to_o 36_o so_o 5000_o to_o 694_o 4_o 9_o stadiums_n which_o be_v requisite_a for_o one_o degree_n or_o as_o 1_o 50_o be_v to_o 50_o or_o as_o 1_o to_o 50_o so_o 5000_o to_o 250000_o stadiums_n of_o the_o whole_a periphery_n a_o b_o c_o d_o according_a to_o this_o measure_n yet_o see_v there_o be_v divers_a way_n to_o take_v the_o meridian_n altitude_n of_o the_o sun_n and_o the_o distance_n from_o the_o vertical_a point_n g_o b_o eratosthenes_n wrought_v it_o by_o a_o hollow_a spherical_a scioterick_n or_o sundial_n which_o they_o call_v scaphe_n where_o the_o style_n b_o x_o show_v the_o vertex_fw-la o_o x_o z_o but_o the_o radius_fw-la or_o beam_n of_o the_o sun_n terminaitng_a the_o shadow_n of_o the_o style_n or_o pin_n mark_v out_o b_o z_o how_o much_o the_o distance_n of_o the_o sun_n o_o b_o from_o the_o vertex_fw-la 7_o degree_n 12_o fir_v at_o alexandria_n but_o in_o the_o city_n syene_n the_o style_n g_o x_o make_v no_o shadow_n that_o day_n because_o o_o the_o sun_n hang_v perpendicular_o over_o it_o and_o therefore_o there_o be_v no_o distance_n of_o the_o sun_n then_o because_o therefore_o the_o angle_n b_o x_o z_o be_v equal_a to_o the_o angle_n b_o x_o o_o who_o measure_n be_v b_o o_o or_o b_o z_o there_o b_o o_fw-fr be_v equal_a to_o b_o z_o 7_o degree_n 12_o first_o minute_n or_o 1_o 50_o of_o the_o periphery_a the_o other_o thing_n be_v perform_v as_o it_o have_v be_v say_v the_o three_o manner_n of_o posidonius_n earth_n posidonius_n manner_n use_v about_o the_o magnitude_n etc._n etc._n of_o the_o earth_n let_v two_o place_n b_o g_z be_v under_o the_o same_o meridian_n posidonius_n take_v b_o rhodes_n and_o g_o the_o city_n alexandria_n in_o egypt_n let_v the_o altitude_n of_o some_o star_n in_o these_o two_o place_n when_o it_o come_v into_o the_o meridian_n above_o the_o horizon_n and_o that_o in_o the_o same_o day_n or_o in_o divers_a day_n which_o matter_n not_o at_o all_o posidonius_n take_v the_o shine_a star_n canobus_n which_o be_v of_o the_o first_o magnitude_n in_o argonavi_n scheme_n see_v scheme_n but_o this_o star_n do_v not_o rise_v above_o the_o horizon_n of_o rhodes_n h_o h_n s_n but_o do_v only_o touch_v the_o horizon_n in_o s_n yet_o it_o be_v elevate_v above_o the_o horizon_n of_o alexandria_n f_o r_o t_o in_o the_o arch_n t_o s_o 1_o 48_o part_n of_o the_o whole_a periphery_n or_o 7_o degree_n 30_o minute_n therefore_o the_o distance_n of_o the_o arch_n t_o s_o that_o be_v b_o g_o shall_v be_v 7_o degree_n 30_o minute_n unto_o 1_o degree_n or_o as_o 1_o 48_o part_n unto_o 1_o 360_o that_o be_v as_o 1_o to_o 48_o so_o 5000_o to_o 240000_o stadiums_n of_o the_o whole_a perimeter_n of_o the_o earth_n according_a to_o these_o hypothesis_n of_o posidonius_n the_o four_o manner_n or_o way_n of_o snellius_n earth_n snellius_n way_n about_o the_o dimension_n and_o magnitude_n of_o the_o earth_n because_o in_o the_o former_a way_n we_o have_v take_v two_o place_n b_o g_z lying_z under_o the_o same_o meridian_n and_o yet_o the_o place_n fit_a for_o this_o business_n may_v lie_v under_o divers_a meridian_n therefore_o we_o think_v it_o requisite_a that_o a_o example_n and_o that_o of_o snellius_n shall_v be_v also_o concern_v this_o case_n here_o propose_v let_v therefore_o a_o b_o c_o d_o be_v the_o meridian_n of_o alcmaria_n b_o alcmaria_n itself_o the_o elevation_n of_o the_o pole_n h_o a_o 52_o degree_n 40_o ½_n minute_n the_o distance_n from_o the_o pole_n b_o a_o 37_o degree_n 19_o minute_n 30_o second_n scheme_n see_v scheme_n let_v the_o other_o place_n be_v p_o bergenapsome_n the_o meridian_n a_o p_o v_o v_o the_o distance_n from_o the_o pole_n that_o be_v the_o compliment_n of_o the_o elevation_n 51_o degree_n 29_o minute_n a_o p_o be_v 38_o degree_n 31_o minute_n therefore_o p_o g_o a_o perpendicular_a line_n be_v draw_v to_o a_o b_o g_o the_o difference_n of_o the_o distance_n from_o the_o pole_n be_v b_o g_o 71_o minute_n 30_o second_n or_o 1_o degree_n 11_o minute_n 30_o second_n moreover_o snellius_n by_o a_o laborious_a geodesie_n or_o earth-meeting_n find_v the_o distance_n of_o alcmaria_n from_o bergen_n b_o p_o to_o be_v 34710_o rhindlandish_a perch_n and_o the_o angle_n of_o position_n p_o b_o g_o to_o be_v 11_o degree_n 26_o minute_n 2_o second_n therefore_o in_o the_o triangle_n straight_o angle_v p_o b_o g_o the_o hypotenuse_n b_o p_o and_o the_o angle_n b_o p_o g_o be_v give_v therefore_o by_o the_o problem_n of_o the_o second_o chapter_n b_o g_z be_v find_v 34018_o for_o which_o snellius_n take_v 33930_o for_o he_o detract_v 88_o perch_n from_o the_o station_n of_o the_o elevation_n of_o the_o pole_n but_o the_o arch_n b_o g_o 71_o ½_n scruple_n be_v the_o difference_n of_o the_o elevation_n of_o the_o pole_n therefore_o as_o 71_o ½_n minute_n be_v to_o 1_o degree_n or_o 60_o minute_n so_o be_v 33930_o or_o 34018_o to_o 28473_o perch_n for_o one_o degree_n or_o according_a to_o the_o round_a number_n 28500_o or_o 19_o holland_n mile_n they_o which_o understand_v spherical_a trigonometry_n from_o the_o give_v a_o b_o a_o p_o the_o angle_n a_o b_o p_o may_v find_v the_o arch_n b_o p_o to_n be_v 1_o degree_n 14_o minute_n which_o when_o they_o be_v equal_a with_o 34710_o perch_n 1_o degree_n shall_v be_v equal_a to_o the_o perch_n or_o of_o 18_o mile_n and_o ⅘_n but_o the_o cause_n that_o this_o number_n differ_v from_o that_o of_o snellius_n be_v first_o that_o snellius_n do_v not_o take_v the_o very_a point_n of_o the_o tower_n b_o p_o by_o which_o he_o obtain_v the_o angle_n g_o b_o p_o for_o the_o know_v the_o elevation_n of_o the_o pole_n but_o he_o take_v the_o place_n a_o little_a distant_a from_o they_o 197._o see_v snellius_n in_o page_n 197._o notwithstanding_o no_o man_n can_v doubt_v but_o the_o same_o may_v be_v find_v to_o be_v the_o altitude_n of_o the_o pole_n the_o other_o cause_n be_v that_o he_o take_v the_o line_n b_o g_z b_o p_o p_o g_o as_o straight_o which_o nevertheless_o be_v not_o straight_o although_o this_o discord_n may_v seem_v to_o make_v little_a or_o no_o difference_n of_o any_o moment_n but_o let_v snellius_n his_o quantity_n of_o a_o degree_n of_o 28500_o perch_n be_v take_v mine_n of_o 28300_o perch_n his_o make_v 19_o 147_o 150_o mile_n mine_n 18_o ⅘_n mile_n the_o perimeter_n or_o circuit_n according_a to_o snellius_n shall_v be_v 10260000_o perch_n 123120000_o foot_n or_o 8640_o holland_n mile_n the_o five_o manner_n be_v the_o first_o terrestrial_a way_n of_o measure_v the_o earth_n earth_n the_o first_o terrestrial_a way_n for_o the_o find_v out_o the_o magnitude_n etc._n etc._n of_o the_o earth_n the_o three_o follow_a manner_n or_o way_n be_v terrestrial_a perform_v the_o work_n without_o the_o heaven_n or_o meridian_n line_n let_v b_o p_o be_v the_o altitude_n of_o the_o tower_n this_o be_v to_o be_v seek_v out_o in_o a_o land-measuring_a way_n then_o let_v p_o s_o be_v the_o distance_n of_o the_o most_o remote_a term_n from_o whence_o the_o tower_n may_v be_v see_v and_o although_o p_o be_v be_v not_o a_o strait_a line_n yet_o because_o it_o be_v the_o least_o part_n of_o the_o periphery_a of_o the_o whole_a earth_n therefore_o it_o be_v take_v for_o a_o strait_a line_n and_o the_o triangle_n straight_o angle_v b_o p_o s_o in_o which_o by_o the_o give_v b_o p_o p_o s_o the_o angle_n b_o s_o p_o be_v find_v to_o who_o b_o r_z s_z be_v equal_a who_o measure_n be_v the_o arch_n s_o p._n therefore_o as_o this_o arch_n be_v to_o one_o degree_n so_o p_o s_o the_o find_v distance_n scheme_n see_v scheme_n be_v to_o the_o quantity_n of_o one_o degree_n as_o for_o example_n let_v b_o p_o the_o altitude_n be_v 480_o pace_n and_o let_v the_o distance_n p_o s_z of_o the_o point_n s_o which_o end_v the_o sight_n be_v 40000_o pace_n or_o 10_o german_a mile_n therefore_o let_v it_o be_v wrought_v according_a to_o the_o problem_n of_o the_o second_o chapter_n as_o
apprehend_v it_o from_o his_o word_n neither_o do_v i_o see_v how_o it_o can_v follow_v from_o his_o hypothesis_n it_o be_v probable_a that_o the_o sun_n and_o general_a wind_n do_v very_o much_o contribute_v to_o this_o intumescency_n of_o the_o water_n and_o see_v that_o the_o sun_n in_o the_o aequinoctial_o do_v incumb_fw-la on_o the_o middle_n of_o the_o sea_n of_o the_o torrid_a zone_n therefore_o either_o he_o or_o the_o wind_n cause_n that_o the_o sea_n than_o swell_v more_o than_o at_o another_o time_n but_o as_o concern_v the_o solstice_n we_o must_v say_v in_o a_o contrary_a mode_n or_o that_o the_o same_o be_v the_o cause_n of_o the_o great_a intumescency_n of_o the_o sea_n in_o the_o time_n of_o the_o aequinoctial_o either_o of_o the_o spring_n or_o autumn_n which_o be_v the_o cause_n of_o more_o frequent_a rain_n wind_n and_o inundadion_n in_o those_o season_n proposition_n fourteen_o in_o some_o part_n of_o the_o ocean_n gulf_n and_o shore_n great_a be_v the_o increase_n and_o decrease_v of_o the_o water_n in_o the_o influx_n and_o deflux_n in_o other_o some_o it_o be_v very_o small_a in_o some_o not_o discernible_a and_o so_o there_o be_v no_o flux_n and_o reflux_n or_o intumescency_n and_o detumescency_n ocean_n the_o increase_n and_o decrease_v of_o the_o water_n in_o several_a part_n of_o the_o ocean_n those_o place_n receive_v great_a augmentation_n and_o decrease_n 1._o that_o be_v under_o the_o torrid_a zone_n between_o the_o tropic_n for_o then_o the_o moon_n press_v for_o the_o most_o part_n be_v there_o carry_v round_o 2._o in_o place_n that_o be_v direct_o extend_v from_o east_n to_o west_n or_o nigh_o the_o collateral_a quarter_n 3._o in_o those_o gulf_n that_o be_v long_a and_o less_o broad_a the_o augmentation_n be_v the_o more_o sensible_a 4._o in_o those_o place_n in_o which_o few_o island_n or_o procurrent_n adjoyn_v to_o the_o earth_n cambaja_n the_o great_a flux_n and_o deflux_n in_o the_o straight_a of_o cambaja_n the_o great_a flux_n and_o deflux_n hitherto_o observe_v be_v that_o which_o be_v in_o the_o straight_a of_o cambaja_n in_o one_o of_o the_o inlet_n of_o the_o river_n indus_n and_o it_o have_v strike_v many_o with_o admiration_n for_o the_o water_n recede_v to_o a_o high_a distance_n and_o that_o very_o speedy_o whence_o not_o without_o reason_n the_o river_n indus_n or_o the_o gulf_n of_o cambaja_n be_v think_v to_o be_v that_o unto_o which_o when_o that_o alexander_n the_o great_a come_v and_o endeavour_v to_o pass_v his_o army_n over_o as_o it_o be_v there_o relate_v the_o water_n present_o go_v back_o and_o leave_v his_o ship_n a_o ground_n hence_o he_o go_v no_o far_o but_o judge_v that_o the_o god_n have_v here_o fix_v the_o bound_n of_o his_o expedition_n with_o a_o prohibition_n of_o proceed_v any_o far_o the_o cause_n be_v the_o small_a or_o narrow_a and_o deep_a depression_n of_o the_o channel_n but_o yet_o it_o be_v probable_a there_o be_v some_o other_o cause_n damman_n fluv_n and_o reflux_n at_o damman_n at_o the_o city_n damman_n in_o india_n not_o far_o from_o surat_n the_o altitude_n of_o the_o water_n by_o flux_n and_o reflux_n be_v vary_v at_o two_o and_o a_o half_a orygas_n and_o the_o sea_n depart_v from_o the_o shore_n the_o space_n of_o half_a a_o mile_n in_o the_o gulf_n of_o cambaja_n the_o flux_n augment_v the_o altitude_n five_o orgyas_n other_o say_v seven_o which_o unusual_a augmentation_n have_v be_v the_o cause_n of_o the_o loss_n of_o many_o ship_n by_o unexperienced_a mariner_n for_o the_o water_n fall_v they_o have_v be_v split_v on_o the_o rock_n red-sea_n no_o constant_a time_n of_o the_o flux_n and_o reflux_n in_o the_o strait_n of_o magellan_n the_o flux_n and_o reflux_n in_o the_o red-sea_n in_o the_o gulf_n and_o shore_n of_o the_o strait_n of_o magellan_n no_o constant_a time_n of_o the_o flux_n and_o reflux_n be_v observe_v for_o sometime_o the_o water_n flow_v and_o reflow_v in_o three_o hour_n othersome_a in_o twelve_o hour_n which_o inconstancy_n be_v to_o be_v ascribe_v to_o the_o violent_a irruption_n of_o the_o ocean_n into_o that_o straight_a and_o from_o the_o various_a agitation_n of_o the_o wind_n about_o malacca_n also_o at_o the_o straight_a of_o sunda_n a_o notable_a flux_n and_o deflux_n be_v observe_v in_o the_o arabian_a gulf_n or_o red_a sea_n some_o of_o the_o ancient_n have_v write_v that_o there_o be_v so_o great_a a_o reflux_n as_o scaliger_n write_v that_o moses_n and_o the_o israelite_n pass_v over_o without_o any_o miracle_n but_o it_o be_v false_a because_o the_o reflux_n be_v not_o there_o so_o great_a as_o to_o leave_v the_o channel_n dry_a on_o the_o coast_n of_o china_n the_o flux_n and_o reflux_n be_v very_o sensible_a as_o also_o at_o the_o isle_n of_o japan_n at_o panama_n on_o the_o coast_n of_o america_n lie_v at_o the_o pacifick_n ocean_n the_o sea_n be_v very_o much_o exalt_v panama_n the_o sea_n at_o the_o flux_n much_o exalt_v at_o panama_n and_o by_o and_o by_o depress_v again_o in_o the_o full_a moon_n the_o flux_n be_v so_o much_o augment_v that_o water_n enter_v into_o the_o house_n of_o the_o city_n yea_o in_o almost_o all_o the_o shore_n of_o the_o south_n sea_n the_o altitude_n of_o the_o water_n be_v wonderful_o augment_v and_o diminish_v so_o that_o in_o the_o reflux_n the_o decrease_n be_v sensible_a for_o two_o mile_n in_o the_o gulf_n of_o bengala_n at_o the_o shore_n of_o sâ—am_n the_o flux_n augment_v the_o altitude_n ten_o foot_n sea_n the_o flux_n not_o perceivable_a in_o the_o mediterranean_a sea_n but_o in_o the_o mediterranean_a sea_n which_o flow_v in_o through_o the_o strait_n of_o gibraltar_n from_o the_o west_n to_o the_o east_n the_o flux_n be_v not_o perceivable_a because_o the_o situation_n be_v contrary_a to_o the_o quarter_n into_o which_o the_o sea_n be_v move_v and_o therefore_o the_o water_n of_o it_o be_v little_o augment_v by_o the_o flux_n so_o that_o it_o be_v not_o discernible_a unless_o in_o the_o gulf_n of_o venice_n which_o by_o reason_n of_o its_o long_a extension_n and_o small_a latitude_n show_v the_o flux_n and_o reflux_n when_o in_o the_o other_o part_n of_o the_o mediterranean_a sea_n by_o reason_n of_o its_o notable_a latitude_n that_o little_a augmentation_n and_o decrease_n be_v not_o discover_v whence_o this_o flux_n and_o reflux_n be_v unknown_a to_o the_o grecian_n as_o also_o to_o the_o roman_n in_o the_o time_n of_o scipio_n africanus_n and_o the_o grecian_n as_o well_v as_o the_o roman_n account_v it_o as_o miraculous_a what_o sometime_o they_o discover_v in_o other_o place_n as_o be_v manifest_a from_o the_o expedition_n of_o alexander_n the_o great_a and_o of_o scipio_n in_o the_o expugnation_n of_o carthage_n but_o in_o the_o time_n of_o cicero_n it_o be_v know_v to_o the_o roman_n yet_o some_o observe_v it_o a_o little_a at_o massilia_n also_o at_o certain_a coast_n of_o barbary_n it_o be_v note_v enough_o out_o the_o flux_n and_o reflux_n in_o the_o baltic_a sea_n not_o yet_o find_v out_o in_o the_o baltic_a ocean_n as_o also_o in_o the_o whole_a northern_a sea_n beyond_o england_n towards_o norway_n and_o greenland_n the_o flux_n and_o reflux_n of_o the_o sea_n be_v not_o yet_o find_v out_o as_o neither_o in_o the_o north_n coast_n of_o the_o pacifick_n ocean_n but_o the_o cause_n be_v not_o yet_o sufficient_o know_v unless_o you_o will_v say_v that_o those_o sea_n be_v remote_a from_o the_o course_n of_o the_o moon_n and_o also_o that_o they_o be_v extend_v from_o the_o west_n to_o the_o east_n and_o north_n moreover_o that_o many_o isle_n and_o procurrency_n of_o land_n do_v hinder_v these_o three_o must_v be_v conjoin_v to_o impede_fw-la the_o flux_n of_o the_o sea_n in_o these_o place_n proposition_n xv._o the_o flux_n and_o reflux_n of_o the_o sea_n be_v a_o violent_a motion_n viz._n a_o impulse_n but_o the_o reflux_n be_v a_o natural_a motion_n of_o the_o water_n for_o the_o flux_n be_v cause_v by_o the_o pression_n of_o the_o moon_n or_o matter_n between_o the_o moon_n and_o the_o earth_n or_o also_o because_o that_o the_o sea_n do_v not_o remain_v in_o that_o situation_n which_o be_v receive_v in_o the_o flux_n this_o be_v a_o sign_n that_o it_o be_v a_o violent_a motion_n but_o in_o the_o reflux_n the_o sea_n be_v move_v from_o a_o more_o high_a place_n to_o a_o more_o depress_a place_n which_o be_v the_o natural_a motion_n of_o water_n lemma_n the_o place_n of_o the_o moon_n be_v give_v in_o the_o ecliptic_a and_o the_o latitude_n and_o hour_n of_o the_o day_n from_o a_o ephemerides_n or_o by_o supputation_n or_o astronomical_a observation_n to_o find_v on_o the_o terrestrial_a globe_n the_o place_n unto_o which_o the_o moon_n at_o the_o hour_n give_v be_v vertical_a also_o to_o exhibit_v all_o those_o place_n of_o the_o earth_n unto_o
which_o the_o moon_n will_v be_v vertical_a that_o day_n viz._n one_o after_o another_o 19_o see_v proposition_n 13._o in_o chap._n 19_o the_o use_n of_o this_o problem_n be_v great_a yea_o very_a necessary_a in_o the_o doctrine_n concern_v the_o flux_n and_o reflux_n of_o the_o sea_n the_o mode_n of_o perform_v of_o the_o same_o you_o shall_v find_v in_o the_o nineteenth_o chapter_n and_o the_o thirteen_o proposition_n for_o there_o it_o be_v more_o convenient_o explain_v yet_o the_o explication_n of_o that_o proposition_n may_v be_v anticipate_v and_o demonstrate_v to_o the_o studious_a in_o this_o chapter_n proposition_n xvi_o in_o those_o place_n of_o the_o sea_n to_o which_o the_o moon_n be_v vertical_a the_o flux_n and_o deflux_n be_v great_a except_o that_o there_o be_v other_o impediment_n which_o we_o have_v reckon_v up_o in_o the_o fourteen_o proposition_n and_o by_o how_o much_o the_o part_n of_o the_o sea_n be_v more_o remote_a from_o the_o place_n by_o so_o much_o the_o flux_n and_o deflux_n be_v lesser_a other_o thing_n be_v equal_a for_o because_o in_o that_o place_n the_o pressure_n be_v great_a and_o the_o tumour_n of_o the_o water_n great_a which_o be_v more_o vicine_fw-la to_o the_o moon_n press_v and_o the_o celestial_a matter_n thence_o follow_v that_o that_o the_o proposition_n intimate_v the_o objection_n concern_v some_o other_o place_n in_o the_o comparison_n of_o which_o the_o contrary_a be_v find_v be_v to_o be_v excuse_v by_o the_o admixtion_n of_o other_o cause_n proposition_n xvii_o the_o quantity_n of_o the_o flux_n and_o reflux_n be_v unconstant_a in_o every_o place_n and_o divers_a on_o several_a day_n and_o by_o so_o much_o the_o great_a or_o lesser_a by_o how_o much_o the_o moon_n be_v more_o remote_a or_o near_o unto_o that_o place_n ecliptic_a the_o moon_n every_o day_n change_v her_o place_n in_o the_o ecliptic_a for_o the_o moon_n every_o day_n change_v her_o place_n in_o the_o ecliptic_a and_o so_o on_o other_o day_n be_v vertical_a to_o other_o place_n and_o by_o consequence_n be_v more_o remote_a from_o any_o place_n or_o more_o near_o which_o be_v observe_v we_o conclude_v from_o the_o precede_a proposition_n that_o there_o be_v a_o divers_a quantity_n of_o the_o flux_n and_o reflux_n in_o one_o and_o the_o same_o place_n on_o divers_a day_n whether_o that_o the_o diversity_n be_v sensible_a or_o insensible_a proposition_n xviii_o the_o great_a intumescency_n of_o water_n in_o any_o place_n and_o term_v of_o the_o flux_n aught_o to_o be_v when_o that_o the_o moon_n do_v occupy_v the_o meridian_n of_o the_o place_n but_o in_o many_o place_n it_o be_v find_v to_o be_v in_o another_o situation_n of_o the_o moon_n for_o than_o be_v the_o moon_n most_o nigh_o to_o any_o place_n of_o the_o earth_n when_o that_o it_o be_v in_o the_o meridian_n of_o that_o place_n because_o that_o the_o hypotenusa_fw-la of_o a_o right_a angle_a triangle_n be_v low_a than_o the_o cathetus_n whence_o it_o be_v infer_v by_o the_o xvi_o proposition_n that_o when_o the_o moon_n be_v in_o the_o meridian_n 16._o see_v proposition_n 16._o there_o ought_v to_o be_v the_o great_a intumescency_n and_o altitude_n of_o water_n and_o immediate_o a_o decrease_n to_o succeed_v but_o when_o the_o moon_n be_v in_o the_o low_a of_o the_o meridian_n than_o the_o narrow_a of_o the_o vortex_n of_o the_o earth_n opposite_a to_o it_o in_o the_o upper_a meridian_n and_o therefore_o do_v effect_v the_o same_o as_o if_o that_o the_o body_n of_o the_o moon_n be_v present_a but_o here_o arise_v a_o great_a difficulty_n for_o there_o be_v many_o place_n and_o coast_n of_o the_o earth_n in_o which_o we_o find_v that_o the_o term_n of_o the_o flux_n be_v not_o when_o that_o the_o moon_n come_v to_o the_o meridian_n as_o the_o philosopher_n hold_v before_o this_o age_n but_o soon_o or_o late_a viz._n when_o that_o the_o moon_n come_v to_o a_o certain_a quarter_n not_o cardinal_n and_o this_o quarter_n be_v not_o constant_o observe_v but_o in_o new_a and_o full_a moon_n for_o the_o most_o part_n the_o great_a intumescency_n be_v and_o the_o begin_n of_o a_o detumescency_n before_o the_o moon_n come_v to_o this_o quarter_n or_o vertical_a circle_n so_o at_o london_n the_o water_n be_v at_o the_o high_a when_o the_o moon_n come_v to_o the_o quarter_n which_o be_v between_o the_o south_n and_o west_n or_o north_n and_o east_n that_o be_v to_o the_o south_n west_n or_o north_n east_n quarter_n at_o the_o coast_n of_o china_n in_o the_o port_n of_o the_o city_n maccau_n portugal_n the_o great_a flux_n at_o the_o coast_n of_o china_n observe_v by_o a_o portugal_n a_o certain_a portugal_n mariner_n observe_v the_o time_n of_o the_o great_a intumescency_n by_o this_o mode_n the_o elevation_n of_o the_o pole_n be_v 22_o degree_n 20_o minute_n in_o the_o year_n 1584._o on_o the_o 19_o of_o september_n the_o moon_n be_v at_o full_a than_o the_o intumescency_n or_o altitude_n of_o the_o high_a water_n be_v observe_v in_o the_o morning_n at_o ½_n or_o ¼_n of_o a_o hour_n past_o 8._o therefore_o then_o the_o moon_n be_v remove_v from_o the_o meridian_n 3_o ¼_n hour_n whence_o the_o quarter_n or_o vertical_a circle_n in_o which_o the_o moon_n at_o that_o moment_n of_o time_n be_v be_v find_v according_a to_o the_o problem_n of_o the_o 30_o chapter_n anno_fw-la 1585._o on_o the_o 16_o of_o february_n in_o the_o full_a moon_n the_o great_a height_n of_o water_n be_v observe_v at_o half_a a_o hour_n past_o a_o eleven_o a_o clock_n at_o noon_n place_n certain_a observation_n take_v by_o a_o dutch_a mariner_n of_o the_o flux_n of_o the_o sea_n in_o many_o place_n a_o certain_a dutch_a mariner_n on_o the_o day_n of_o the_o new_a and_o full_a moon_n note_v the_o hour_n of_o divers_a place_n for_o the_o term_n or_o intumescency_n of_o the_o flux_n from_o which_o i_o have_v extract_v these_o at_o the_o twelve_o hour_n on_o the_o day_n of_o the_o new_a and_o full_a moon_n on_o the_o coast_n of_o flanders_n at_o enchusen_n in_o holland_n at_o horn_n at_o embden_n in_o east_n freezland_n at_o the_o mouth_n of_o the_o elve_n at_o eider_n at_o the_o isle_n of_o jutland_n and_o at_o dover_n at_o england_n at_o 45_o minute_n past_o 12_o at_o flushing_n in_o zealand_n half_o a_o hour_n after_o one_o a_o clock_n at_o the_o occidental_a coast_n of_o the_o isle_n of_o wight_n at_o calis_n at_o the_o mouth_n of_o the_o river_n of_o thames_n at_o the_o shore_n of_o zealand_n in_o the_o mouth_n of_o scald_v in_o mosa_n and_o at_o gore_v a_o quarter_n after_o two_o before_o the_o mouth_n of_o scald_v and_o the_o mouth_n of_o mosa_n at_o three_o a_o clock_n at_o amsterdam_n rotterdam_n dort_n in_o holland_n at_o newcastle_n in_o england_n at_o arment_n in_o flanders_n in_o the_o mouth_n of_o the_o river_n of_o bordeaux_n in_o the_o south_n coast_n of_o britain_n gallocia_n gascoyn_n biscay_n portugal_n and_o spain_n and_o on_o the_o western_a coast_n of_o ireland_n even_o to_o hitland_n a_o quarter_n after_o four_o in_o the_o evening_n at_o rouen_n in_o france_n between_o mosa_n and_o rochel_n in_o the_o river_n of_o bordeaux_n in_o the_o bay_n of_o the_o spanish_a portugal_n and_o gallecian_a coast_n in_o the_o south_n coast_n of_o britain_n in_o france_n gascoyn_n and_o on_o the_o western_a coast_n of_o ireland_n half_n a_o hour_n past_o four_o from_o the_o texel_n at_o the_o south_n coast_n of_o ireland_n a_o quarter_n past_o five_o in_o all_o the_o port_n of_o the_o southern_a coast_n of_o ireland_n at_o plymouth_n in_o england_n and_o other_o southern_a place_n of_o it_o even_o to_o the_o coast_n of_o wales_n at_o six_o in_o the_o evening_n and_o morning_n before_o hamburgh_n in_o the_o elbe_n before_o bremen_n the_o texel_n antwerp_n in_o the_o channel_n between_o england_n and_o brabant_n without_o sorlis_n a_o quarter_n before_o seven_o in_o the_o evening_n between_o fawick_n and_o vaelmuya_n in_o the_o channel_n even_o to_o bristol_n before_o st._n nicholas_n and_o podessembe_n even_o to_o waymouth_n and_o hartepole_n at_o half_a a_o hour_n past_o seven_o in_o the_o haven_n at_o the_o texel_n at_o kilduyna_n in_o the_o middle_n of_o the_o channel_n nigh_o plymouth_n and_o in_o the_o sea_n even_o to_o the_o promontory_n of_o the_o lizard_n a_o quarter_n past_o eight_o in_o the_o evening_n nigh_o the_o isle_n of_o wight_n in_o the_o channel_n even_o to_o bevesier_n without_o the_o fly_n on_o the_o coast_n of_o holland_n at_o nine_o before_o the_o mouth_n of_o the_o river_n ems_n in_o freezland_n before_o the_o fly_n before_o the_o coast_n of_o freezland_n at_o the_o eastern_a coast_n of_o the_o isle_n of_o wight_n at_o half_a a_o hour_n past_o ten_o before_o the_o mouth_n of_o the_o river_n thames_n on_o the_o coast_n of_o normandy_n and_o picardy_n and_o at_o a_o quarter_n
channel_n as_o for_o the_o increase_n of_o zenega_n which_o only_o have_v four_o hour_n whether_o the_o cause_n ought_v to_o be_v ascribe_v to_o the_o extension_n of_o the_o channel_n from_o the_o west_n to_o the_o east_n or_o unto_o the_o swift_a deflux_n of_o zenega_n which_o may_v prohibit_v the_o influx_n for_o two_o hour_n or_o whether_o to_o some_o other_o cause_n i_o question_v and_o require_v a_o more_o accurate_a observation_n viz._n whether_o it_o decrease_v eight_o hour_n or_o only_o six_o hour_n and_o in_o the_o other_o two_o do_v neither_o increase_v nor_o decrease_v because_o the_o strong_a flux_n of_o the_o river_n hinder_v the_o flux_n that_o also_o must_v be_v consider_v that_o depress_v and_o low_a place_n may_v have_v the_o flux_n in_o more_o hour_n and_o the_o deflux_n in_o few_o proposition_n xx._n whether_o the_o flux_n do_v begin_v when_o the_o moon_n touch_v the_o horizon_n or_o in_o the_o increment_n be_v in_o the_o place_n who_o the_o horizon_n be_v so_o they_o common_o say_v but_o yet_o we_o hold_v the_o contrary_a in_o those_o place_n in_o which_o the_o water_n be_v at_o the_o high_a when_o that_o the_o moon_n be_v in_o the_o meridian_n for_o when_o the_o moon_n decline_v from_o the_o aequator_fw-la towards_o the_o south_n than_o she_o arrive_v at_o the_o meridian_n in_o less_o than_o six_o hour_n and_o therefore_o the_o flux_n shall_v begin_v when_o that_o the_o moon_n be_v yet_o depress_v beneath_o the_o horizon_n on_o the_o contrary_a when_o that_o the_o moon_n decline_v from_o the_o aequator_fw-la towards_o the_o north_n she_o require_v more_o than_o six_o hour_n to_o come_v from_o the_o horizon_n to_o the_o meridian_n and_o therefore_o when_o that_o the_o moon_n be_v elevate_v above_o the_o horizon_n unto_o the_o horary_a circle_n of_o the_o six_o hour_n then_o at_o length_n the_o flux_n begin_v and_o so_o it_o be_v observe_v in_o most_o place_n but_o the_o contrary_n be_v at_o london_n as_o we_o have_v say_v in_o the_o precedent_a proposition_n nineteeen_o see_v proposition_n nineteeen_o and_o the_o reason_n seem_v to_o require_v that_o although_o the_o moon_n decline_v from_o the_o aequator_fw-la towards_o the_o north_n yet_o that_o the_o flux_n shall_v begin_v in_o the_o place_n where_o the_o moon_n come_v to_o the_o horizon_n for_o then_o the_o place_n be_v distant_a by_o a_o quarter_n from_o the_o place_n unto_o which_o the_o moon_n be_v vertical_a and_o therefore_o the_o pressure_n of_o the_o sea_n come_v or_o extend_v hither_o and_o here_o more_o accurate_a observation_n be_v require_v proposition_n xxi_o the_o hour_n be_v give_v in_o which_o the_o great_a or_o least_o altitude_n of_o the_o water_n be_v on_o the_o day_n of_o the_o new_a or_o full_a moon_n in_o the_o place_n where_o the_o ordinary_a flux_n and_o reflux_n be_v viz._n of_o six_o hour_n with_o twelve_o degree_n to_o determine_v the_o hour_n of_o the_o day_n follow_v after_o the_o new_a moon_n in_o which_o the_o great_a or_o least_o altitude_n shall_v be_v proposition_n see_v the_o forego_n proposition_n we_o have_v say_v in_o the_o forego_n proposition_n that_o the_o time_n of_o the_o great_a increase_n and_o decrease_v if_o we_o have_v respect_n to_o the_o middle_a motion_n of_o the_o moon_n from_o the_o sun_n in_o one_o day_n after_o place_v 48_o ¾_n horary_a minute_n in_o half_a a_o day_n 24_o â…œ_n minute_n if_o therefore_o the_o great_a increase_n in_o any_o place_n happen_v on_o the_o day_n of_o the_o new_a or_o full_a moon_n on_o the_o twelve_o hour_n of_o the_o day_n these_o hour_n of_o increase_n shall_v be_v on_o the_o follow_a day_n the_o age_n of_o â—he_n moon_n the_o hour_n of_o the_o day_n scruple_n 1_o 12_o 48_o 2_o 1_o 37_o 3_o 2_o 27_o 4_o 3_o 17_o 5_o 4_o 5_o 6_o 4_o 55_o 7_o 5_o 59_o 8_o 6_o 49_o 9_o 7_o 23_o 10_o 8_o 12_o 11_o 8_o 56_o 12_o 9_o 51_o 13_o 10_o 40_o 14_o 11_o 29_o 14½_n 12_o mid_a night_n  _fw-fr 15_o 12_o mid_a day_n  _fw-fr viz._n in_o the_o end_n of_o the_o first_o day_n of_o the_o age_n of_o the_o moon_n the_o great_a intumescency_n fall_v out_o late_a by_o 48¼_n horary_a minute_n but_o in_o practice_n it_o be_v sufficient_a to_o add_v to_o the_o hour_n of_o the_o new_a moon_n for_o the_o end_n of_o the_o first_o day_n 48_o minute_n or_o ¼_n of_o a_o hour_n for_o the_o end_n hour_n of_o the_o second_o 1½_n for_o the_o three_o 2½_n for_o the_o four_o 3¼_n for_o the_o five_o 4_o for_o the_o six_o 5_o for_o the_o seven_o 5¼_n for_o the_o eight_o 6¾_n for_o the_o nine_o 7_o for_o the_o ten_o 8¼_n for_o the_o eleven_o 9_o for_o the_o twelve_o 9¼_n for_o the_o thirteen_o 10â…”_n for_o the_o fourteen_o 11½_n for_o the_o fifteen_o 12¼_n this_o supputation_n of_o time_n suppose_v the_o middle_a or_o equal_a motion_n of_o the_o moon_n from_o the_o sun_n which_o notwithstanding_o be_v unequal_a so_o that_o the_o moon_n in_o her_o perigee_n depart_v more_o swift_o from_o the_o sun_n than_o in_o her_o apogee_n and_o therefore_o then_o the_o great_a increase_n be_v long_o protract_v than_o six_o hour_n and_o twelve_o minute_n but_o when_o the_o moon_n be_v in_o the_o apogee_n the_o increase_n be_v more_o quick_a for_o certain_a true_a lunary_n month_n exceed_v 30_o day_n other_o be_v less_o than_o 29_o day_n day_n true_a lunary_n month_n exceed_v 30._o day_n when_o that_o the_o mean_v of_o 29_o day_n twelve_o hour_n 44_o minute_n be_v assume_v but_o in_o place_n where_o the_o great_a or_o least_o altitude_n be_v make_v by_o the_o appulse_n of_o the_o moon_n to_o a_o certain_a vertical_a place_n although_o it_o be_v do_v after_o the_o same_o manner_n yet_o for_o all_o that_o the_o time_n be_v not_o so_o accurate_o discover_v for_o neither_o do_v the_o same_o time_n in_o which_o the_o moon_n be_v join_v to_o the_o sun_n fall_v out_o on_o the_o hour_n of_o the_o day_n or_o the_o same_o moment_n of_o the_o same_o hour_n in_o divers_a new_a moon_n how_o this_o be_v perform_v by_o the_o terrestrial_a globe_n 37._o see_v chap._n 30._o and_o 37._o we_o shall_v show_v in_o the_o xxx_o chapter_n and_o in_o the_o thirty_o seven_o chapter_n we_o shall_v treat_v more_o of_o the_o use_n of_o navigation_n concern_v a_o more_o accurate_a method_n we_o may_v also_o use_v this_o method_n for_o those_o place_n where_o the_o time_n of_o the_o flux_n be_v more_o or_o less_o than_o in_o the_o time_n of_o the_o deflux_n so_o that_o we_o be_v certain_a of_o the_o difference_n the_o consideration_n of_o the_o thing_n itself_o and_o practice_n will_v more_o easy_o teach_v this_o than_o our_o discourse_n proposition_n xxii_o the_o wind_n do_v oftentimes_o protract_v and_o often_o diminish_v the_o time_n of_o the_o flux_n or_o reflux_n in_o some_o place_n neither_o be_v wind_n of_o that_o place_n only_o able_a to_o do_v it_o but_o wind_n blow_v in_o a_o other_o place_n may_v also_o effect_v the_o same_o the_o truth_n of_o the_o proposition_n be_v so_o manifest_a that_o it_o need_v no_o demonstration_n proposition_n xxiii_o great_a be_v the_o variety_n of_o peculiar_a or_o proper_a motion_n of_o the_o sea_n viz._n in_o which_o a_o certain_a part_n of_o the_o ocean_n be_v move_v either_o perpetual_o or_o in_o some_o certain_a month_n senator_n peculiar_a motion_n of_o the_o senator_n the_o first_o of_o those_o peculiar_a motion_n which_o be_v most_o considerable_a be_v that_o motion_n by_o which_o part_n of_o the_o atlantic_a or_o african_a ocean_n about_o guinee_n be_v move_v from_o cape_n verd_fw-mi towards_o the_o bend_n of_o africa_n which_o be_v call_v fernando_n poo_n that_o be_v from_o the_o west_n to_o the_o east_n which_o be_v contrary_a to_o the_o general_a motion_n from_o the_o east_n to_o the_o west_n now_o this_o motion_n be_v vehement_a so_o that_o it_o violent_o toss_v the_o ship_n approach_v to_o the_o shore_n unto_o this_o gulf_n beyond_o the_o imagination_n of_o the_o mariner_n and_o supputation_n of_o their_o voyage_n thence_o it_o come_v to_o pass_v that_o ship_n which_o have_v sail_v in_o two_o day_n from_o the_o coast_n of_o mourrae_n to_o rio_n de_fw-fr benin_n which_o be_v one_o hundred_o mile_n scarce_o in_o six_o or_o seven_o week_n can_v return_v from_o rio_n de_fw-fr benin_n to_o mourrie_v except_o they_o launch_v out_o into_o the_o middle_a sea_n which_o be_v not_o easy_o to_o be_v perform_v see_v that_o the_o sea_n be_v move_v with_o a_o strong_a motion_n to_o the_o north-east_n quarter_n from_o the_o isle_n of_o st._n thomas_n to_o the_o gulf_n of_o fernando_n poo_n carry_v in_o with_o it_o the_o ship_n although_o they_o have_v a_o fair_a north_n east_n wind_n and_o they_o can_v hardly_o get_v from_o that_o coast_n except_o they_o be_v force_v thence_o by_o those_o sudden_a wind_n term_v travado_n which_o sometime_o
stay_n of_o the_o sun_n or_o shall_v we_o say_v that_o a_o thick_a exhalation_n consist_v in_o the_o morning_n time_n in_o that_o zone_n after_o that_o long_a absence_n three_o if_o that_o you_o be_v not_o please_v to_o admit_v that_o double_a refraction_n neither_o be_v you_o willing_a to_o grant_v that_o the_o supreme_a part_n of_o the_o air_n in_o the_o torrid_a and_o frigid_a zone_n make_v any_o refraction_n i_o say_v if_o that_o the_o two_o premise_a response_n or_o explication_n please_v not_o than_o you_o must_v confess_v that_o the_o air_n in_o that_o place_n of_o the_o torrid_a zone_n at_o that_o time_n be_v much_o high_a than_o in_o our_o temperate_a zone_n and_o likewise_o more_o thick_a â—or_a only_o the_o altitude_n diminish_v the_o refraction_n but_o if_o that_o there_o be_v a_o great_a thickness_n refraction_n be_v much_o more_o augment_v by_o this_o than_o it_o be_v diminish_v by_o the_o altitude_n decrease_v but_o i_o be_o most_o take_v with_o the_o first_o of_o these_o three_o cause_n which_o make_v the_o altitude_n of_o the_o air_n two_o mile_n for_o we_o may_v not_o in_o the_o horizontal_n refraction_n of_o 4_o degree_n 30_o minute_n make_v a_o less_o in_o nova_n zembla_n the_o other_o two_o be_v perplex_v with_o many_o difficulty_n now_o why_o they_o behold_v not_o the_o sun_n for_o so_o many_o day_n the_o same_o altitude_n remain_v after_o he_o cease_v to_o rise_v the_o three_o day_n of_o november_n i_o say_v that_o the_o cause_n be_v the_o thickness_n of_o the_o air._n the_o same_o answer_n must_v also_o be_v give_v why_o the_o same_o dutch_a mariner_n in_o the_o year_n 1596_o on_o the_o 30_o of_o may_n behold_v not_o the_o sun_n at_o midnight_n under_o the_o elevation_n of_o 69_o deg_fw-la 24_o minute_n when_o that_o yet_o it_o be_v not_o under_o the_o horizon_n 1_o degree_n why_o here_o it_o make_v no_o refraction_n the_o cause_n may_v be_v the_o same_o but_o we_o have_v be_v too_o large_a concern_v this_o matter_n which_o prolixity_n the_o reader_n must_v ascribe_v to_o the_o difficulty_n of_o the_o doctrine_n for_o to_o accurate_a knowledge_n of_o this_o matter_n most_o accurate_a observation_n be_v require_v neither_o yet_o may_v we_o if_o that_o the_o observation_n make_v at_o divers_a elevation_n of_o the_o same_o star_n on_o one_o place_n make_v not_o the_o same_o altitude_n assert_v that_o therefore_o the_o altitude_n of_o it_o be_v diverse_a for_o the_o cause_n may_v be_v the_o diversity_n of_o the_o rarity_n of_o the_o air_n viz._n by_o how_o much_o it_o be_v nigh_a the_o horizon_n by_o so_o much_o it_o be_v less_o rare_a if_o that_o this_o be_v so_o the_o observation_n will_v in_o no_o wise_n produce_v the_o same_o altitude_n although_o it_o be_v the_o same_o because_o that_o we_o suppose_v in_o the_o calculation_n that_o the_o same_o rarity_n of_o the_o air_n be_v in_o both_o part_n of_o the_o air_n and_o therefore_o the_o same_o rule_n of_o refraction_n proposition_n xxxi_o the_o depression_n of_o the_o star_n beneath_o the_o horizon_n be_v give_v when_o that_o it_o first_o begin_v to_o appear_v that_o be_v the_o horizontal_n refraction_n of_o the_o star_n be_v give_v to_o find_v out_o the_o least_o altitude_n of_o that_o air_n as_o may_v be_v the_o thickness_n of_o that_o air_n for_o such_o be_v fraction_n and_o the_o great_a excess_n of_o density_n as_o may_v be_v of_o that_o air_n above_o the_o density_n of_o the_o aether_n that_o be_v the_o great_a rule_n that_o can_v be_v of_o refraction_n also_o more_o general_o the_o refraction_n of_o a_o star_n be_v give_v unto_o the_o give_v apparent_a altitude_n of_o it_o above_o the_o horizon_n to_o find_v the_o great_a altitude_n that_o may_v be_v horizon_n of_o the_o depression_n of_o the_o star_n beneath_o the_o horizon_n so_o let_v the_o give_v horizontal_n refraction_n n_o f_o l_o or_o the_o depression_n of_o the_o star_n beneath_o the_o horizon_n g_o f_o s_o or_o g_o l_o s_o when_o that_o it_o first_o begin_v to_o appear_v such_o as_o it_o be_v in_o nova_n zembla_n 4_o deg_fw-la 30_o min._n it_o be_v manifest_a therefore_o from_o the_o optic_n that_o if_o the_o radius_fw-la s_o f_o touch_v the_o air_n in_o f_z that_o be_v if_o that_o the_o angle_n n_o f_o t_o be_v straight_o scheme_n see_v scheme_n then_o indeed_o that_o ray_n be_v not_o refract_v but_o if_o that_o no_o star_n be_v beneath_o the_o tangent_fw-la i_o n_z than_o no_o ray_n can_v immediate_o come_v near_o to_o f._n therefore_o it_o be_v require_v that_o the_o star_n shall_v be_v about_o the_o tangent_fw-la and_o the_o angle_n n_z f_o t_o shall_v be_v lesser_a than_o the_o right_a angle_n or_o than_o 90._o let_v it_o therefore_o be_v suppose_v that_o 89_o deg_fw-la 59_o min._n or_o 90_o degree_n although_o very_o great_a yet_o not_o great_a than_o 90._o moreover_o let_v n_o f_o t_o the_o angle_n give_v or_o the_o horizontal_n refraction_n 4_o deg_fw-la 30_o min._n the_o angle_n t_o f_o l_o 85_o deg_fw-la 29_o min._n be_v leave_v the_o great_a which_o may_v be_v whence_o if_o that_o it_o come_v to_o pass_v that_o as_o the_o sign_n t_o f_o l_o be_v to_o the_o sign_n f_o l_o t_o so_o be_v l_o t_o to_n t_o f_o and_o the_o find_v out_o t_o f_o shall_v be_v the_o least_o altitude_n of_o the_o air_n that_o may_v be_v the_o four_o proportional_a t_n f_o shall_v be_v the_o least_o that_o may_v be_v if_o so_o be_v that_o the_o middle_a bound_n or_o term_n viz._n the_o whole_a sign_n t_o l_o f_o and_o t_o l_o remain_v the_o same_o if_o that_o the_o refraction_n t_o f_o be_v not_o give_v to_o the_o apparent_a horizontal_n ray_n but_o to_o the_o altitude_n of_o the_o star_n x_o l_o g._n we_o shall_v act_v after_o the_o same_o mode_n in_o â–³_o t_o l_o r_o t._n also_o the_o reason_n of_o the_o sign_n of_o the_o angle_n n_z f_o l_o 89_o deg_fw-la 59_o min_fw-mi to_o the_o sign_n t_o f_o l_o 85_o deg_fw-la 29_o min._n shall_v be_v the_o great_a reason_n which_o may_v be_v of_o the_o density_n of_o the_o air_n to_o the_o density_n of_o the_o aether_n proposition_n xxxii_o the_o altitude_n of_o the_o air_n and_o one_o refraction_n of_o a_o star_n in_o it_o be_v give_v to_o a_o certain_a altitude_n of_o it_o to_o find_v out_o from_o it_o the_o rule_n of_o refraction_n or_o proportion_n of_o the_o sign_n of_o the_o angle_n of_o incidency_n to_o the_o angle_n refract_v or_o to_o the_o thickness_n of_o that_o air_n for_o the_o give_v refraction_n at_o the_o give_v altitude_n now_o the_o give_v altitude_n of_o the_o air_n ought_v to_o be_v great_a than_o that_o which_o according_a to_o the_o precedent_a proposition_n be_v find_v to_o be_v the_o least_o scheme_n see_v scheme_n for_o if_o that_o it_o be_v not_o great_a it_o be_v a_o sign_n that_o the_o refraction_n be_v not_o observe_v and_o that_o the_o problem_n be_v impossible_a let_v therefore_o the_o t_o r_o given_z be_v great_a for_o example_n let_v x_o l_o g_o act_n the_o apparent_a altitude_n let_v the_o know_a refraction_n be_v m_o r_o l_o therefore_o in_o the_o triangle_n t_o l_o r_o be_v give_v t_o r_o t_o l_o and_o the_o angle_n t_o l_o r._n from_o these_o be_v find_v out_o t_o r_o f_o the_o refracted_a angle_n unto_o which_o if_o that_o you_o add_v m_z l_o you_o have_v the_o angle_n of_o incidency_n m_o r_o t_o and_o the_o reason_n or_o account_v of_o the_o sign_n m_o r_o t_o to_o the_o sign_n l_o r_o t_o shall_v be_v find_v this_o shall_v be_v the_o rule_n of_o refraction_n in_o this_o air_n or_o the_o reason_n of_o the_o thickness_n of_o it_o to_o the_o density_n of_o the_o air._n proposition_n xxxiii_o the_o altitude_n of_o the_o air_n and_o refraction_n be_v give_v to_o the_o one_o altitude_n of_o a_o star_n to_o find_v out_o the_o refraction_n in_o another_o altitude_n of_o a_o star_n scheme_n see_v scheme_n for_o example_n let_v the_o altitude_n of_o the_o air_n t_o f_o or_o t_o r_o and_o the_o refraction_n n_o f_o l_o at_o the_o apparent_a altitude_n o_o be_v give_v viz._n the_o horizontal_n ray_n f_o l_o be_v that_o refract_v then_o let_v the_o altitude_n of_o the_o apparent_a altitude_n of_o the_o star_n r_o l_o g_o or_o x_o l_o g_o be_v give_v let_v the_o rule_n of_o refraction_n or_o the_o reason_n of_o the_o sign_n n_z f_o t_n t_o f_o l_o or_o the_o sign_n n_z f_o t_n t_o f_o l_o be_v find_v by_o the_o precedent_a proposition_n then_o on_o the_o triangle_n t_o r_o l_o from_o the_o note_n t_o r_o t_o l_o and_o on_o the_o angle_n r_o l_o t_o let_v the_o angle_n t_o r_o l_o be_v find_v and_o as_o the_o sign_n t_o f_o l_o be_v to_o the_o sign_n t_o f_o n_z so_o be_v t_o r_o l_o to_o the_o other_o
all_o place_n almost_o in_o the_o parallel_n of_o the_o 10_o deg_fw-la even_o unto_o the_o 30_o deg_fw-la north._n after_o the_o same_o manner_n beyond_o the_o tropic_a of_o capricorn_n in_o the_o sea_n between_o the_o promontory_n of_o good-hope_a and_o brazile_n the_o southeast_n wind_n blow_v even_o unto_o the_o 30_o deg_fw-la of_o latitude_n that_o be_v 7_o degree_n beyond_o the_o torrid_a zone_n towards_o the_o south_n and_o that_o through_o the_o whole_a year_n and_o although_o as_o we_o have_v say_v that_o this_o general_a wind_n be_v not_o discover_v on_o all_o coast_n much_o less_o in_o mediterranean_a place_n yet_o in_o some_o it_o be_v sufficient_o observable_a so_o on_o the_o coast_n of_o brazile_n easterly_n unto_o the_o coast_n of_o loango_n the_o southeast_n be_v a_o quotidian_n wind_n although_o that_o other_o wind_n do_v admin_n themselves_o there_o be_v a_o threefold_a cause_n of_o this_o continual_a general_a wind_n allege_v by_o modern_a philosopher_n for_o both_o 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sea_n and_o the_o like_a be_v in_o guzurat_n but_o for_o very_a many_o month_n when_o it_o begin_v to_o blow_v in_o congo_n and_o guzurat_n in_o september_n it_o continue_v even_o to_o march_n the_o anniversary_n wind_n of_o the_o grecian_n which_o they_o call_v ornithia_n or_o the_o bridge_n wind_n this_o they_o say_v blow_v after_o the_o vernal_a aequinox_n the_o sun_n ascend_v to_o the_o vertex_fw-la of_o the_o european_n proposition_n v._o why_o the_o etesian_a wind_n blow_v not_o in_o italy_n france_n germany_n persia_n and_o other_o region_n especial_o see_v that_o they_o be_v more_o near_o the_o northern_a mountain_n from_o whence_o we_o assert_v the_o etesian_a wind_n of_o the_o grecian_n congo_n and_o guzurat_n do_v arise_v and_o blow_v mountain_n the_o etesian_a wind_n blow_v not_o in_o all_o region_n though_o near_o the_o northern_a mountain_n the_o question_n be_v of_o no_o small_a moment_n and_o i_o wish_v that_o we_o have_v more_o accurate_a observation_n concern_v this_o 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to_o all_o place_n for_o although_o by_o accident_n it_o happen_v that_o it_o be_v not_o discern_v in_o all_o place_n viz._n because_o other_o wind_n blow_v more_o strong_a yet_o it_o be_v proper_a to_o some_o the_o cause_n be_v allege_v in_o the_o place_n cite_v 2._o on_o the_o coast_n of_o peru_n and_o part_n of_o chili_n and_o to_o the_o adjacent_a sea_n the_o south_n wind_n be_v almost_o perpetual_a and_o his_o collateral_a wind_n at_o the_o west_n it_o begin_v at_o the_o 46_o deg_fw-la of_o latitude_n and_o blow_v to_o panama_n the_o american_n isthmus_n and_o cause_v that_o in_o few_o day_n ship_n arrive_v from_o lima_n at_o panama_n lade_v with_o gold_n silver_n etc._n etc._n but_o it_o require_v many_o day_n sail_n from_o panama_n to_o lima._n but_o this_o wind_n blow_v not_o in_o the_o sea_n remote_a from_o the_o coast_n of_o peru_n it_o be_v difficult_a to_o render_v the_o cause_n of_o this_o wind_n by_o reason_n that_o the_o south_n land_n from_o whence_o it_o seem_v to_o blow_v be_v not_o yet_o know_v unto_o we_o yet_o i_o think_v it_o probable_a that_o because_o that_o mountain_n be_v find_v in_o it_o cover_v with_o perpetual_a snow_n therefore_o the_o wind_n be_v generate_v from_o a_o continual_a resolution_n of_o they_o but_o i_o will_v not_o infect_v the_o mind_n of_o the_o reader_n with_o these_o my_o suspicion_n or_o conjecture_n for_o peradventure_o the_o snow_n which_o be_v find_v all_o the_o year_n long_o in_o the_o high_a mountain_n at_o the_o strait_n of_o magellan_n be_v the_o cause_n of_o these_o wind_n but_o yet_o it_o may_v be_v object_v that_o those_o mountain_n lie_v from_o the_o south_n towards_o the_o west_n decline_v from_o the_o south_n wherefore_o we_o shall_v leave_v this_o to_o a_o more_o diligent_a inquisition_n or_o a_o more_o full_a knowledge_n of_o the_o south_n continent_n 3._o at_o the_o coast_n of_o the_o land_n of_o magellan_n or_o del_n fugo_n about_o the_o straight_a le_fw-fr mair_n continual_a or_o at_o least_o very_a frequent_a western_o wind_n do_v blow_n and_o that_o with_o that_o force_n that_o they_o make_v the_o tree_n to_o bend_v towards_o the_o east_n from_o their_o perpendicular_a rectitude_n neither_o be_v there_o any_o part_n of_o the_o earth_n in_o which_o those_o occidental_a wind_n so_o often_o blow_v but_o on_o the_o other_o part_n of_o the_o strait_n le_fw-fr mair_n at_o the_o coast_n of_o the_o south_n land_n the_o south_n wind_n blow_v i_o can_v render_v no_o other_o cause_n of_o those_o occidental_a wind_n but_o that_o i_o suppose_v they_o to_o be_v raise_v from_o snow_n and_o cloud_n in_o the_o south_n continent_n which_o extend_v itself_o from_o the_o side_n of_o that_o occidental_a streight_n from_o the_o south_n towards_o the_o north._n but_o these_o be_v doubtful_a and_o more_o diligent_o to_o be_v inquire_v after_o 4._o on_o the_o malabarian_a coast_n of_o india_n for_o almost_o the_o whole_a year_n the_o north_n and_o north-east_n wind_n blow_v the_o cause_n proceed_v from_o the_o resolution_n of_o the_o snow_n of_o the_o mountain_n of_o the_o asiatic_a sarmatia_n viz._n imaus_n or_o caucasus_n from_o the_o cloud_n on_o the_o other_o mountain_n of_o asia_n which_o be_v collect_v and_o press_v the_o subject_n air._n 5._o in_o the_o sea_n near_o to_o guinea_n the_o north_n west_n wind_n be_v frequent_a and_o in_o the_o remote_a sea_n the_o north_n east_n 6._o in_o the_o middle_a passage_n between_o japan_n and_o liampo_n a_o maritimate_a city_n of_o china_n even_o unto_o these_o be_v find_v occidental_a wind_n which_o blow_n in_o japan_n in_o november_n and_o december_n 7._o at_o the_o isle_n guotou_n not_o far_o from_o the_o isle_n do_v cavallos_n in_o the_o sea_n of_o china_n be_v a_o frequent_a south_n wind_n when_o that_o yet_o in_o the_o neighbour_a ocean_n a_o north_n wind_n be_v predominate_v proposition_n vii_o unto_o these_o periodical_a or_o state_a wind_n appertain_v those_o also_o that_o be_v term_v day_n wind_n which_o in_o some_o region_n and_o at_o a_o certain_a time_n of_o the_o year_n blow_v for_o some_o hour_n every_o day_n call_v of_o day_n wind_n so_o call_v now_o they_o be_v find_v to_o be_v twofold_a and_o that_o only_a in_o some_o maritimate_a place_n for_o some_o blow_n from_o mediterranean_a place_n to_o the_o shore_n towards_o the_o sea_n and_o other_o on_o the_o contrary_a from_o the_o sea_n to_o the_o shore_n 1._o on_o the_o malabarian_a coast_n in_o the_o summer_n season_n viz._n from_o september_n to_o april_n the_o terrestrial_a wind_n or_o terrinhos_n do_v blow_n from_o the_o twelve_o hour_n of_o the_o night_n to_o the_o twelve_o hour_n of_o the_o day_n now_o these_o wind_n be_v eastern_a wind_n but_o from_o the_o twelve_o hour_n of_o the_o day_n to_o the_o twelve_o hour_n of_o the_o night_n the_o sea_n wind_n or_o viraconus_n to_o wit_n the_o west_n wind_n blow_v but_o this_o be_v very_o weak_a so_o that_o by_o its_o assistance_n the_o ship_n can_v hardly_o arrive_v at_o the_o shoar_n i_o suppose_v the_o cause_n of_o those_o oriental_a wind_n from_o twelve_o at_o night_n to_o twelve_o in_o the_o day_n partly_o to_o be_v a_o general_a wind_n and_o partly_o cloud_n on_o the_o mountain_n gatis_n but_o the_o cause_n of_o the_o occidental_a wind_n that_o blow_n from_o twelve_o in_o the_o day_n to_o twelve_o at_o night_n be_v the_o resolution_n of_o thick_a cloud_n cause_v by_o the_o set_n of_o the_o sun_n which_o cloud_n before_o by_o the_o oriental_a wind_n be_v force_v towards_o the_o west_n out_o of_o those_o name_v month_n the_o north_n wind_n predominate_v also_o the_o east_n and_o north-east_n neither_o by_o reason_n of_o the_o often_o tempest_n be_v these_o terrestrial_a and_o marine_a wind_n discern_v 2._o in_o musulipatan_n a_o city_n on_o the_o coast_n of_o charomandel_n these_o terrinhos_n begin_v to_o blow_v
sun_n theorem_fw-la the_o meridian_n of_o every_o place_n pass_v through_o both_o the_o pole_n of_o the_o earth_n the_o meridian_n be_v draw_v through_o every_o ten_o degree_n of_o the_o aequator_fw-la which_o be_v the_o meridian_n of_o all_o those_o place_n through_o which_o they_o pass_v but_o instead_o of_o the_o meridian_n of_o all_o other_o place_n that_o do_v supply_v the_o place_n which_o be_v make_v of_o brass_n and_o in_o which_o the_o globe_n do_v hang._n for_o instance_n if_o that_o any_o place_n in_o the_o superficies_n of_o the_o globe_n be_v bring_v unto_o the_o brazen_a meridian_n that_o shall_v be_v the_o meridian_n of_o the_o place_n in_o map_n of_o straight_a line_n the_o meridian_n be_v straight_o line_n draw_v from_o the_o top_n or_o uppermost_a part_n unto_o the_o bottom_n in_o map_n of_o crooked_a line_n they_o be_v those_o crooked_a line_n which_o join_v in_o the_o pole_n norizou_n the_o norizou_n sight_o the_o horizon_n of_o any_o place_n in_o the_o superficies_n of_o the_o earth_n be_v the_o great_a imaginary_a circle_n in_o the_o heaven_n which_o terminate_v the_o visible_a part_n of_o the_o heaven_n in_o that_o place_n it_o be_v also_o term_v the_o rational_a horizon_n that_o it_o may_v be_v distinguish_v from_o the_o visible_a horizon_n which_o be_v improper_o so_o call_v it_o have_v no_o place_n in_o the_o artificial_a globe_n but_o a_o wooden_a circle_n in_o which_o the_o globe_n be_v sustain_v with_o its_o brazen_a meridian_n and_o serve_v instead_o of_o the_o horizon_n of_o any_o place_n as_o shall_v be_v show_v in_o the_o next_o chapter_n and_o therefore_o it_o be_v term_v the_o wooden_a horizon_n and_o simple_o the_o horizon_n these_o be_v the_o definition_n who_o knowledge_n be_v necessary_a for_o the_o attain_v the_o follow_a doctrine_n beside_o which_o it_o behove_v we_o to_o borrow_v from_o astronomy_n the_o mode_n of_o the_o motion_n of_o the_o sun_n and_o star_n star_n the_o motion_n of_o the_o sun_n moon_n and_o star_n the_o first_o and_o common_a motion_n be_v that_o by_o which_o the_o sun_n moon_n and_o all_o the_o star_n seem_v to_o be_v carry_v round_o about_o the_o earth_n to_o arise_v to_o we_o to_o make_v the_o meridian_n and_o to_o set_v and_o that_o in_o the_o space_n of_o twenty_o four_o hour_n every_o one_o of_o the_o star_n and_o the_o sun_n every_o day_n by_o this_o their_o common_a motion_n seem_v to_o deseribe_v parallel_n circle_n unto_o the_o aequator_fw-la because_o that_o this_o motion_n be_v perform_v upon_o the_o axis_n of_o the_o earth_n and_o the_o pole_n of_o the_o same_o and_o therefore_o the_o aequator_fw-la be_v the_o great_a circle_n of_o this_o motion_n and_o the_o rule_n and_o square_n by_o which_o we_o measure_v the_o motion_n of_o the_o other_o parallel_n in_o every_o hour_n they_o pass_v fifteen_o degree_n through_o the_o meridian_n both_o of_o the_o aequator_fw-la and_o every_o other_o parallel_n for_o 360_o degree_n divide_v by_o 24_o the_o hour_n give_v unto_o every_o hour_n fifteen_o and_o therefore_o one_o hour_n and_o fifteen_o degree_n of_o the_o aequator_fw-la make_v a_o equal_a proportion_n the_o horary_a circle_n show_v the_o hour_n which_o circle_n be_v affix_v unto_o the_o artificial_a globe_n be_v see_v in_o the_o brazen_a meridian_n where_o the_o pin_n or_o hand_n adher_v to_o the_o extremity_n of_o the_o axis_n of_o the_o earth_n and_o it_o be_v turn_v about_o in_o the_o horary_a circle_n to_o show_v the_o hour_n sun_n the_o second_o motion_n of_o the_o sun_n second_o the_o proper_a and_o second_o motion_n of_o the_o sun_n which_o be_v also_o annual_a be_v that_o in_o which_o the_o sun_n or_o rather_o the_o earth_n be_v move_v from_o west_n to_o east_n or_o contrary_a to_o its_o first_o motion_n the_o time_n or_o number_n of_o the_o day_n in_o which_o the_o sun_n return_v unto_o the_o same_o point_n from_o whence_o it_o depart_v or_o in_o which_o it_o perform_v its_o whole_a period_n or_o circle_n be_v term_v a_o year_n now_o such_o a_o year_n be_v 361_o day_n and_o one_o four_o part_n of_o a_o day_n or_o thereabouts_o the_o way_n of_o this_o second_o solary_a motion_n be_v term_v the_o ecliptic_a as_o we_o have_v say_v before_o which_o be_v divide_v into_o twelve_o part_n which_o be_v call_v sign_n for_o astronomer_n have_v observe_v these_o constellation_n of_o the_o heaven_n through_o which_o this_o way_n of_o the_o sun_n do_v lie_v and_o from_o these_o constellation_n denominate_v the_o twelve_o part_n of_o the_o ecliptic_a and_o because_o that_o all_o constellation_n represent_v the_o form_n of_o animal_n therefore_o the_o ancient_n term_v that_o way_n or_o ecliptic_a weaven_n the_o zodiac_n zone_n or_o girdle_n in_o the_o weaven_n the_o zodiac_n yet_o those_o which_o speak_v more_o distinct_o call_v the_o zodiac_n a_o zone_n or_o girdle_n in_o the_o heaven_n who_o middle_a be_v the_o very_a ecliptic_a itself_o or_o path_n of_o the_o sun_n but_o the_o extreme_a part_n from_o both_o side_n of_o the_o ecliptic_a be_v distant_a from_o it_o eight_o degree_n by_o reason_n that_o the_o rest_n of_o the_o planet_n have_v a_o certain_a peculiar_a motion_n from_o east_n to_o west_n in_o which_o motion_n they_o do_v not_o describe_v the_o ecliptic_a itself_o but_o path_n decline_v somewhat_o from_o the_o ecliptic_a which_o declination_n by_o reason_n that_o it_o exceed_v not_o 8_o degree_n therefore_o they_o do_v attribute_v 16_o degree_n of_o latitude_n unto_o the_o zodiac_n viz._n eight_o from_o both_o part_n of_o the_o ecliptic_a so_o that_o the_o zodiac_n be_v that_o space_n of_o the_o heaven_n in_o which_o the_o planet_n be_v always_o move_v neither_o do_v they_o ever_o move_v out_o of_o it_o and_o the_o ecliptic_a be_v the_o middle_a line_n of_o the_o zodiac_n which_o the_o sun_n pass_v through_o by_o a_o annual_a motion_n in_o which_o it_o always_o keep_v its_o fix_a course_n moreover_o the_o sign_n or_o constellation_n of_o the_o heaven_n through_o which_o the_o ecliptic_a and_o the_o zodiac_n pass_v be_v these_o march_v 21._o  _fw-fr  _fw-fr zodiac_n the_o sign_n of_o the_o zodiac_n ♈_o ♉_o ♊_o aries_n taurus_n gemini_fw-la june_n 21._o  _fw-fr  _fw-fr ♋_o ♌_o â™_o cancer_n leo_n virgo_fw-la september_n 21._o  _fw-fr  _fw-fr ♎_o â™_o â™_o libra_n scorpius_n sagitarius_n december_n 21._o  _fw-fr  _fw-fr ♑_o â™’_o ♓_o capricorn_n aquarius_n pisces_fw-la moreover_o the_o ecliptic_a oblique_o cut_v the_o aequator_fw-la ecliptic_a ecliptic_a so_o that_o its_o great_a distance_n be_v twenty_o three_o degree_n and_o about_o thirty_o minute_n where_o therefore_o the_o ecliptic_a cut_v the_o aequator_fw-la which_o he_o do_v in_o two_o point_n in_o one_o of_o these_o be_v place_v the_o beginning_n of_o the_o ecliptic_a and_o also_o the_o beginning_n of_o the_o account_v of_o the_o sigus_fw-la in_o those_o point_v the_o sun_n then_o be_v in_o cause_v the_o equality_n of_o the_o day_n and_o night_n in_o all_o place_n as_o also_o the_o beginning_n of_o the_o vernal_a and_o autumnal_a quarter_n we_o begin_v to_o number_v from_o that_o point_n in_o which_o the_o sun_n make_v the_o beginning_n of_o the_o spring_n to_o we_o that_o be_v we_o be_v situate_a from_o the_o aequator_fw-la towards_o the_o pole_n arctic_a the_o first_o sign_n or_o first_o twelve_o part_n of_o the_o ecliptic_a be_v term_v aries_n the_o second_o taurus_n the_o three_o gemini_fw-la and_o so_o forth_o as_o aforesaid_a because_o about_o twenty_o age_n past_a those_o sign_n of_o the_o heaven_n be_v in_o these_o very_a part_n of_o the_o ecliptic_a every_o one_o of_o these_o twelve_o sign_n be_v divide_v into_o thirty_o degree_n for_o the_o whole_a ecliptic_a have_v three_o hundred_o and_o sixty_o degree_n which_o be_v divide_v by_o 12_o make_v 30._o moreover_o see_v that_o the_o sun_n pass_v over_o the_o whole_a ecliptic_a that_o be_v 360_o degree_n in_o 365_o day_n and_o one_o four_o part_n of_o a_o day_n hence_o we_o collect_v that_o in_o every_o day_n he_o pass_v 59_o minute_n and_o 8_o second_o which_o be_v something_o less_o than_o a_o degree_n sun_n the_o motion_n of_o the_o sun_n now_o as_o the_o sun_n in_o a_o year_n time_n or_o 12_o month_n run_v over_o the_o whole_a ecliptic_a or_o 12_o sign_n of_o the_o zodiac_n so_o also_o in_o every_o month_n he_o pass_v about_o one_o sign_n but_o his_o entrance_n into_o the_o sign_n be_v not_o at_o the_o begin_n of_o the_o month_n but_o on_o the_o 21th_o day_n of_o every_o month_n and_o this_o be_v according_a to_o the_o gregorian_a calendar_n and_o on_o the_o 11_o day_n of_o every_o month_n according_a to_o the_o old_a julian_n account_n viz._n on_o the_o 21th_o of_o march_n he_o enter_v the_o sign_n of_o aries_n or_o the_o very_a section_n of_o the_o ecliptic_a with_o the_o aequator_fw-la then_o on_o the_o 21th_o of_o april_n he_o enter_v taurus_n and_o so_o on_o now_o
shall_v be_v place_v on_o the_o meridian_n line_n of_o the_o plain_a and_o so_o the_o map_n shall_v have_v its_o require_a situation_n proposition_n ix_o to_o find_v the_o latitude_n of_o the_o place_n from_o the_o heaven_n or_o the_o elevation_n of_o the_o pole_n above_o the_o horizon_n of_o any_o place_n by_o the_o benefit_n of_o the_o star_n star_n to_o find_v the_o latitude_n of_o a_o place_n above_o the_o horizon_n by_o the_o star_n although_o the_o latitude_n of_o a_o place_n exist_v in_o the_o superficies_n of_o the_o earth_n viz._n its_o distance_n from_o the_o aequator_fw-la yet_o it_o can_v be_v find_v without_o the_o star_n the_o mode_n of_o find_v the_o same_o be_v various_a first_o let_v the_o altitude_n of_o the_o sun_n above_o the_o horizon_n be_v observe_v when_o he_o come_v to_o the_o meridian_n line_n and_o let_v its_o compliment_n or_o distance_n from_o the_o vertex_fw-la of_o the_o sun_n be_v take_v for_o this_o take_v away_o the_o declination_n of_o the_o sun_n to_o the_o day_n of_o the_o observation_n that_o be_v if_o that_o the_o sun_n be_v fix_v in_o the_o southern_a part_n of_o the_o zodiac_n but_o let_v it_o be_v add_v if_o that_o it_o be_v in_o the_o southern_a the_o residue_n shall_v be_v the_o latitude_n of_o the_o place_n but_o the_o declination_n of_o the_o sun_n that_o be_v his_o distance_n from_o the_o aequator_fw-la in_o the_o day_n of_o the_o observation_n be_v find_v from_o the_o place_n of_o the_o sun_n and_o that_o from_o a_o table_n of_o the_o declination_n of_o the_o part_n of_o the_o ecliptic_a or_o from_o the_o globe_n for_o let_v the_o place_n of_o the_o sun_n be_v note_v in_o the_o globe_n at_o the_o day_n of_o the_o observation_n and_o bring_v to_o the_o meridian_n the_o degree_n of_o the_o meridian_n be_v intercept_v between_o the_o aequator_fw-la and_o the_o place_n of_o the_o sun_n exhibit_v the_o declination_n of_o the_o sun_n at_o the_o day_n give_v second_o the_o sun_n rise_v or_o set_v by_o the_o benefit_n of_o the_o globe_n the_o latitude_n shall_v thus_o be_v find_v let_v the_o plaga_fw-la or_o part_n in_o which_o the_o sun_n rise_v or_o set_v be_v observe_v which_o mariner_n be_v accustom_v to_o do_v by_o their_o compass_n but_o the_o true_a meridian_n line_n be_v require_v to_o this_o let_v the_o same_o plaga_fw-la or_o degree_n be_v mark_v in_o the_o wooden_a horizon_n of_o the_o globe_n let_v the_o place_n also_o of_o the_o sun_n in_o the_o ecliptic_a for_o the_o day_n of_o the_o observation_n be_v note_v then_o let_v the_o brazen_a meridian_n in_o the_o crena_n of_o the_o horizon_n be_v turn_v thereunto_o the_o pole_n be_v more_o or_o less_o elevate_v until_o the_o note_a place_n of_o the_o sun_n meet_v with_o the_o note_a place_n of_o the_o horizon_n so_o the_o elevation_n of_o the_o pole_n in_o the_o globe_n shall_v be_v the_o same_o which_o the_o place_n have_v where_o the_o observation_n be_v make_v the_o solution_n will_v be_v more_o easy_a by_o calculation_n but_o by_o reason_n very_o few_o student_n of_o geography_n understand_v the_o solution_n of_o spherical_a triangle_n therefore_o i_o omit_v the_o same_o which_o shall_v also_o be_v observe_v in_o the_o follow_a problem_n note_v that_o in_o the_o time_n of_o the_o aequinox_n when_o the_o sun_n be_v in_o the_o begin_n of_o aries_n or_o libra_n than_o this_o method_n have_v no_o use_n because_o that_o then_o the_o sun_n in_o one_o and_o the_o same_o plaga_fw-la or_o part_n rise_v and_o set_v to_o all_o place_n viz._n in_o the_o part_n of_o the_o true_a east_n or_o west_n or_o in_o the_o plaga_fw-la of_o the_o aequinoctial_a rise_n or_o set_v three_o when_o the_o sun_n shine_v at_o noon_n let_v the_o style_n or_o pin_v a_o b_o be_v perpendicular_o erect_v on_o a_o horizontal_n plain_a scheme_n see_v scheme_n and_o let_v the_o longitude_n of_o the_o shadow_n a_o c_o and_o the_o style_n a_o b_o be_v take_v in_o some_o divide_a line_n therefore_o in_o the_o right_a angle_a triangle_n a_o b_o c_o shall_v be_v both_o the_o note_a side_n a_o b_o a_o c_o whence_o the_o angle_n a_o b_o c_o shall_v be_v find_v to_o be_v the_o distance_n of_o the_o sun_n from_o the_o vertex_fw-la viz._n if_o that_o it_o may_v be_v that_o as_o a_o b_o have_v its_o self_n to_o a_o c_o so_o the_o whole_a sign_n have_v itself_o to_o the_o tangent_fw-la of_o the_o angle_n a_o b_o c_o from_o thence_o the_o latitude_n of_o the_o place_n shall_v be_v find_v as_o we_o have_v show_v in_o the_o first_o mode_n but_o if_o the_o observation_n be_v make_v on_o the_o day_n of_o the_o aequinox_n than_o the_o distance_n of_o the_o sun_n from_o the_o vertex_fw-la be_v find_v the_o same_o be_v the_o latitude_n of_o the_o place_n carthage_n the_o elevation_n of_o the_o pole_n at_o rome_n and_o carthage_n so_o pliny_n write_v in_o the_o 72_o chap._n of_o his_o second_o book_n that_o in_o the_o city_n of_o rome_n the_o nine_o part_n of_o the_o gnomon_n or_o pin_n be_v want_v unto_o the_o shadow_n whence_o the_o elevation_n of_o the_o 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this_o proposition_n by_o the_o globe_n let_v place_n be_v take_v remote_a from_o the_o aequator_fw-la towards_o the_o pole_n by_o a_o equal_a increase_n of_o distance_n viz._n for_o conveniency_n parallel_n of_o 10_o 20_o 30_o 40_o 50_o 60_o degree_n of_o latitude_n for_o these_o parallel_n in_o the_o globe_n let_v the_o pole_n be_v elevate_v to_o the_o latitude_n of_o 10_o degree_n and_o the_o first_o degree_n of_o cancer_n be_v bring_v to_o the_o oriental_a horizon_n and_o that_o be_v note_v let_v the_o point_n of_o the_o tropic_n be_v also_o note_v which_o then_o be_v in_o the_o occidental_a horizon_n for_o the_o arch_n of_o the_o tropic_a then_o be_v above_o the_o horizon_n show_v the_o stay_n of_o the_o sun_n above_o the_o horizon_n of_o the_o place_n 10_o degree_n of_o latitude_n the_o hour_n of_o this_o his_o stay_n may_v also_o be_v know_v by_o the_o index_n and_o horary_a circle_n then_o let_v the_o pole_n be_v elevate_v according_a to_o the_o latitude_n of_o the_o second_o 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the_o aequator_fw-la note_v what_o have_v be_v say_v and_o show_v concern_v the_o long_a day_n that_o be_v true_a of_o all_o the_o day_n of_o one_o half_a of_o the_o year_n and_o be_v demonstrate_v after_o the_o same_o manner_n if_o instead_o of_o the_o tropic_a of_o cancer_n the_o parallel_n of_o the_o place_n be_v take_v and_o therefore_o although_o general_n must_v be_v deliver_v general_o yet_o because_o the_o doctrine_n of_o climate_n especial_o require_v the_o explication_n of_o the_o increase_n of_o the_o long_a day_n therefore_o we_o do_v not_o observe_v in_o this_o doctrine_n that_o law_n 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d proposition_n x._o if_o so_o many_o place_n or_o parallel_n be_v so_o take_v between_o the_o aequator_fw-la and_o
the_o pole_n that_o the_o long_a day_n of_o one_o place_n exceed_v the_o long_a day_n of_o the_o vicine_fw-la place_n which_o be_v more_o nigh_o the_o aequator_fw-la every_o where_n equal_a in_o excess_n or_o that_o the_o long_a day_n equal_o may_v increase_v pole_n of_o parallel_n between_o the_o aequator_fw-la and_o the_o pole_n these_o parallel_n shall_v not_o equal_o be_v distant_a one_o from_o another_o viz_o every_o vicine_fw-la couple_n but_o these_o which_o be_v more_o remote_a from_o the_o aequator_fw-la shall_v have_v a_o less_o distance_n than_o those_o more_o near_o the_o aequator_fw-la the_o truth_n of_o this_o proposition_n be_v show_v from_o the_o precedent_n for_o if_o these_o parallel_n shall_v be_v equal_o distant_a from_o one_o another_o viz._n every_o two_o vicine_fw-la the_o quantity_n of_o the_o long_a day_n in_o these_o parallel_n will_v not_o augment_v by_o a_o equal_a increase_n as_o we_o have_v here_o show_v and_o it_o be_v now_o lay_v down_o that_o the_o place_n or_o parallel_n so_o take_v equal_o increase_n that_o the_o long_a day_n may_v equal_o increase_v in_o they_o wherefore_o every_o two_o vicine_fw-la or_o near_a parallel_n shall_v not_o so_o equal_o be_v distant_a one_o from_o another_o but_o many_o parallel_n be_v take_v from_o the_o aequator_fw-la towards_o the_o pole_n on_o this_o condition_n that_o the_o long_a day_n may_v equal_o increase_v these_o parallel_n shall_v not_o be_v equal_o distant_a from_o one_o another_o but_o the_o distance_n of_o the_o three_o from_o the_o second_o shall_v be_v lesser_a than_o the_o second_o from_o the_o first_o that_o of_o the_o four_o less_o from_o the_o three_o that_o of_o the_o five_o lesser_o from_o the_o four_o and_o so_o forward_o corollary_n and_o because_o that_o many_o of_o the_o climate_n be_v so_o take_v that_o the_o long_a day_n in_o the_o final_a parallel_n of_o the_o climate_n exceed_v the_o long_a day_n of_o the_o begin_n at_o the_o climate_n by_o half_a a_o hour_n it_o 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itself_o in_o the_o globe_n or_o to_o exhibit_v those_o place_n where_o the_o long_a day_n be_v so_o great_a cancer_n for_o the_o find_v the_o latitude_n of_o a_o place_n etc._n etc._n the_o long_a day_n in_o all_o northern_a place_n be_v when_o the_o sun_n be_v in_o the_o first_o degree_n of_o cancer_n let_v the_o place_n of_o the_o sun_n of_o the_o long_a day_n be_v bring_v to_o the_o meridian_n let_v the_o index_n be_v bring_v to_o the_o 12_o hour_n of_o the_o horary_a cycle_n let_v the_o globe_n be_v turn_v until_o the_o index_n show_v that_o hour_n of_o the_o cycle_n from_o which_o the_o give_a number_n of_o the_o long_a day_n be_v denominate_v and_o then_o let_v the_o point_n of_o the_o tropic_a in_o the_o meridian_n be_v note_v then_o let_v the_o first_o degree_n of_o cancer_n be_v bring_v to_o the_o oriental_a horizon_n and_o the_o meridian_n in_o the_o crena_n be_v so_o move_v to_o the_o pole_n elevate_v or_o depress_v until_o the_o other_o note_a point_n of_o the_o tropic_a be_v in_o the_o occidental_a horizon_n but_o so_o that_o the_o first_o degree_n of_o cancer_n be_v yet_o in_o the_o east_n which_o be_v do_v number_n the_o degree_n of_o the_o elevation_n of_o the_o pole_n for_o that_o be_v the_o seek_v for_o elevation_n or_o latitude_n of_o the_o parallel_n which_o you_o shall_v find_v in_o the_o very_a globe_n itself_o if_o you_o number_v so_o many_o degree_n in_o the_o meridian_n from_o the_o aequator_fw-la towards_o the_o pole_n and_o a_o chalk_n be_v apply_v you_o may_v turn_v round_o the_o globe_n to_o the_o term_n of_o the_o numeration_n for_o the_o describe_v parallel_n be_v that_o which_o be_v seek_v the_o probation_n of_o the_o method_n be_v easy_a proposition_n xii_o the_o number_n of_o some_o day_n be_v give_v to_o find_v out_o the_o latitude_n of_o the_o place_n or_o parallel_n and_o to_o exhibit_v the_o place_n of_o the_o frigid_a zone_n on_o the_o earth_n when_o the_o sun_n for_o so_o many_o day_n set_v not_o and_o for_o so_o many_o more_o arise_v not_o place_n further_n concern_v the_o latitude_n of_o place_n let_v the_o number_n of_o the_o day_n be_v divide_v in_o half_a and_o let_v so_o many_o degree_n be_v number_v in_o the_o ecliptic_a from_o the_o first_o degree_n of_o cancer_n as_o that_o divide_a or_o half_a number_n be_v or_o as_o many_o unite_v as_o this_o have_v the_o numeration_n may_v be_v make_v from_o both_o part_n of_o this_o begin_n let_v the_o term_n be_v be_v note_v with_o chalk_n if_o the_o day_n be_v more_o than_o thirty_o the_o number_n of_o the_o degree_n must_v be_v take_v lesser_a than_o a_o unite_n then_o let_v this_o note_a point_n be_v bring_v to_o the_o meridian_n and_o let_v the_o degree_n interrupt_v between_o that_o and_o the_o pole_n be_v number_v for_o these_o be_v the_o seek_v for_o elevation_n of_o the_o pole_n or_o latitude_n of_o the_o place_n wherein_o so_o many_o day_n as_o be_v give_v the_o sun_n set_v not_o and_o in_o so_o many_o day_n rise_v not_o you_o shall_v find_v the_o very_a place_n and_o parallel_n in_o the_o globe_n if_o that_o you_o number_v the_o find_v out_o latitude_n from_o the_o aequator_fw-la towards_o the_o pole_n in_o the_o meridian_n and_o design_v the_o parallel_n by_o chaulk_n apply_v to_o the_o term._n for_o this_o be_v that_o seek_v for_o and_o it_o contain_v all_o the_o place_n seek_v for_o for_o the_o demonstration_n of_o this_o solution_n let_v the_o pole_n be_v elevate_v for_o the_o latitude_n of_o the_o place_n find_v out_o and_o it_o will_v be_v manifest_a that_o the_o note_a degree_n of_o the_o ecliptic_a about_o the_o first_o degree_n of_o cancer_n set_v not_o beneath_o the_o horizon_n but_o remain_v above_o it_o the_o sun_n therefore_o pass_v over_o these_o point_n of_o the_o ecliptic_a set_v not_o now_o he_o pass_v through_o these_o point_n in_o so_o many_o day_n as_o be_v give_v as_o be_v apparent_a by_o the_o connstruction_n after_o the_o same_o manner_n we_o shall_v show_v the_o truth_n of_o this_o solution_n concern_v the_o day_n in_o which_o the_o sun_n do_v not_o arise_v at_o all_o in_o the_o place_n parallel_n find_v corollary_n it_o be_v easy_a therefore_o to_o find_v the_o elevation_n of_o the_o pole_n of_o those_o place_n or_o climate_n which_o lie_v in_o the_o frigid_a zone_n where_o the_o long_a day_n increase_v not_o by_o hour_n but_o by_o a_o number_n of_o whole_a day_n proposition_n xiii_o to_o frame_v or_o compose_v a_o table_n of_o the_o climate_n climate_n of_o the_o make_n a_o table_n of_o the_o climate_n this_o be_v call_v a_o table_n of_o climate_n in_o which_o at_o the_o beginning_n middle_a and_o end_n of_o every_o climate_n the_o elevation_n of_o the_o pole_n or_o là titude_n of_o the_o parallel_n and_o the_o very_a quantity_n of_o the_o long_a day_n be_v find_v note_v as_o also_o the_o interval_n of_o the_o climate_n or_o distance_n of_o the_o parallel_n the_o construction_n be_v easy_a for_o from_o the_o order_n of_o the_o climate_n the_o quantity_n for_o the_o long_a day_n for_o the_o beginning_n middle_a or_o end_n of_o every_o climate_n be_v find_v by_o add_v ¼_n of_o a_o hour_n to_o twelve_o hour_n by_o a_o continual_a succession_n then_o from_o the_o quantity_n of_o the_o long_a day_n of_o every_o parallel_n be_v find_v out_o the_o elevation_n or_o latitude_n of_o the_o pole_n of_o every_o one_o of_o they_o according_a to_o the_o xi_o proposition_n last_o you_o have_v the_o interval_n or_o latitude_n of_o the_o climate_n if_o you_o take_v the_o latitude_n of_o the_o beginning_n parallel_n from_o the_o latitude_n of_o the_o end_a parallel_n all_o these_o be_v note_v in_o the_o table_n we_o shall_v have_v a_o table_n of_o the_o climate_n which_o i_o have_v hereunto_o annex_v a_o table_n of_o the_o climate_n and_o parallel_n climate_n
great_a concernment_n yet_o it_o be_v better_a to_o begin_v from_o the_o aequator_fw-la that_o all_o the_o place_n may_v lie_v in_o some_o climate_n proposition_n xv._o to_o show_v the_o use_n of_o the_o table_n of_o the_o climate_n 1._o the_o latitude_n of_o some_o place_n or_o elevation_n of_o the_o pole_n be_v give_v to_o know_v the_o quantity_n of_o the_o long_a day_n in_o that_o place_n and_o the_o climate_n in_o which_o it_o lie_v let_v the_o give_v elevation_n of_o the_o pole_n be_v seek_v in_o the_o table_n and_o on_o the_o opposite_a region_n we_o shall_v find_v both_o the_o quantity_n of_o the_o long_a day_n as_o also_o the_o climate_n and_o the_o parallel_n if_o that_o the_o give_v elevation_n can_v be_v find_v in_o the_o table_n then_o take_v that_o elevation_n which_o be_v less_o near_o or_o the_o like_a which_o be_v find_v in_o the_o table_n climate_n from_o the_o longitude_n of_o the_o long_a day_n of_o any_o place_n to_o know_v the_o latude_n of_o the_o place_n and_o 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and_o rain_n with_o other_o meteor_n in_o the_o place_n of_o the_o earth_n and_o the_o vicine_fw-la air._n heat_n of_o the_o cause_n of_o heat_n 1._o the_o more_o or_o less_o or_o no_o obliquity_n of_o the_o ray_n of_o the_o sun_n come_v to_o or_o emit_v on_o any_o place_n for_o the_o ray_n fall_v perpendicular_a on_o any_o place_n cause_n great_a heat_n and_o the_o other_o ray_n slide_v oblique_o have_v for_o that_o very_a reason_n a_o less_o power_n of_o heat_n by_o how_o much_o the_o obliquity_n of_o they_o be_v the_o great_a that_o be_v by_o how_o much_o the_o more_o they_o decline_v from_o the_o perpendicular_a ray._n 2._o the_o diurnal_a stay_n of_o the_o sun_n above_o the_o horizon_n of_o the_o place_n for_o the_o same_o heat_n make_v more_o hot_a and_o change_v the_o air_n in_o a_o long_a time_n than_o in_o a_o short_a 3._o the_o depression_n of_o the_o sun_n beneath_o the_o horizon_n be_v more_o or_o less_o in_o the_o night_n season_n for_o this_o difference_n of_o 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to_o the_o ten_o of_o aries_n where_o he_o shall_v become_v vertical_a to_o the_o place_n and_o that_o shall_v be_v in_o the_o begin_n of_o the_o summer_n when_o the_o sun_n by_o his_o motion_n have_v depart_v from_o the_o place_n to_o the_o three_o of_o gemini_fw-la again_o he_o shall_v have_v a_o moderate_a distance_n from_o the_o vertex_fw-la of_o the_o place_n in_o the_o meridies_n viz._n 13_o degree_n 45_o minute_n and_o then_o shall_v that_o summer_n have_v a_o end_n and_o the_o spring_n begin_v not_o the_o autumn_n because_o that_o the_o sun_n do_v not_o tend_v to_o the_o great_a distance_n from_o the_o vertex_fw-la from_o the_o three_o of_o gemini_fw-la but_o return_v to_o the_o least_o viz._n whilst_o he_o move_v through_o cancer_n and_o leo_n he_o come_v to_o the_o twenty_o of_o virgo_fw-la for_o then_o again_o he_o become_v vertical_a to_o the_o
again_o opposite_a four_o day_n of_o the_o year_n in_o two_o of_o which_o the_o sun_n shall_v obtain_v a_o middle_a distance_n from_o the_o place_n give_v if_o therefore_o the_o place_n give_v be_v north_n take_v two_o of_o those_o four_o day_n whereof_o one_o happen_v between_o the_o 21_o of_o december_n and_o the_o 21_o of_o march_n this_o shall_v be_v the_o entrance_n of_o the_o spring_n the_o other_o between_o the_o 21_o of_o september_n and_o the_o 21_o of_o december_n this_o shall_v be_v the_o entrance_n of_o autumn_n but_o if_o the_o place_n give_v be_v south_n from_o those_o four_o day_n you_o must_v take_v the_o day_n between_o the_o 21_o of_o june_n and_o the_o 21_o of_o september_n for_o the_o entrance_n of_o the_o spring_n and_o for_o the_o begin_n of_o autumn_n that_o which_o happen_v between_o the_o 21_o of_o march_n and_o the_o 21_o of_o june_n the_o beginning_n of_o winter_n shall_v be_v the_o 21_o of_o june_n if_o the_o place_n be_v south_n but_o if_o north_n the_o 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shadow_n the_o shadow_n receive_v their_o denomination_n from_o the_o part_n or_o quarter_n of_o the_o world_n into_o which_o they_o be_v cast_v as_o the_o oriental_a shadow_n which_o tend_v into_o the_o east_n from_o the_o sun_n place_v in_o the_o west_n contrariwise_o the_o occidental_a shadow_n which_o go_v into_o the_o western_a plaga_fw-la or_o quater_fw-la but_o here_o be_v chief_o to_o be_v consider_v the_o meridian_n shadow_n which_o be_v situate_v on_o the_o plain_a of_o the_o meridian_n or_o which_o be_v cast_v from_o body_n perpendicular_o erect_v or_o seat_v in_o the_o plain_a of_o the_o meridian_n the_o sun_n then_o be_v in_o the_o meridian_n and_o this_o be_v two_o fold_n viz._n northern_a and_o southern_a the_o inhabitant_n of_o that_o part_n of_o the_o earth_n be_v term_v heteroscij_fw-la where_o the_o meridian_n shadow_n of_o body_n erect_v be_v constant_o carry_v all_o day_n of_o the_o year_n to_o either_o pole_n the_o periscij_fw-la be_v those_o inhabitant_n of_o the_o earth_n where_o the_o shadow_n of_o erect_a body_n in_o one_o and_o the_o same_o day_n be_v carry_v about_o into_o all_o the_o plagas_fw-la of_o the_o horizon_n or_o where_o the_o meridian_n shadow_n in_o one_o and_o the_o same_o day_n be_v cast_v to_o both_o the_o quarter_n of_o the_o meridian_n the_o amphiscij_fw-la be_v those_o inhabitant_n of_o the_o earth_n where_o the_o meridian_n shadow_n of_o the_o erect_a body_n in_o some_o day_n of_o the_o year_n be_v cast_v to_o the_o north_n and_o on_o othersom_a to_o the_o south_n proposition_n i._o the_o shadow_n of_o body_n erect_v above_o the_o horizontal_n plain_a fall_v upon_o the_o quarter_n opposite_a to_o it_o in_o which_o the_o sun_n exi_v dyall_v of_o shadow_n in_o reference_n to_o optic_n and_o dyall_v those_o that_o be_v verse_v in_o the_o optic_n and_o horology_n be_v wont_a to_o say_v that_o a_o shadow_n a_o opac_n and_o luminous_a body_n be_v in_o one_o plain_a but_o the_o term_n or_o bind_v of_o the_o shadow_n the_o extremity_n of_o the_o opac_n and_o the_o sun_n be_v in_o one_o right_a line_n for_o because_o the_o opac_n the_o shadow_n and_o line_n conceal_v from_o the_o extremity_n of_o the_o opac_n to_o the_o extremity_n of_o the_o shadow_n make_v a_o triangle_n now_o every_o triangle_n be_v in_o one_o plain_a therefore_o those_o three_o line_n shall_v be_v in_o one_o plain_a the_o sun_n be_v in_o the_o extremity_n of_o the_o line_n conjoin_v the_o extremity_n of_o the_o opacity_n and_o the_o shadow_n moreover_o a_o erect_a body_n be_v right_a to_o the_o horizontal_n plain_a wherefore_o the_o plain_a draw_v through_o it_o viz._n that_o of_o the_o forementioned_a triangle_n be_v also_o straight_o to_o that_o horizontal_n plain_a and_o therefore_o seat_v in_o the_o vertical_a plain_n and_o because_o a_o body_n erect_v be_v seat_v as_o it_o be_v a_o vertex_fw-la between_o the_o sun_n and_o shadow_n therefore_o the_o sun_n and_o shadow_n shall_v be_v in_o the_o opposite_a quarter_n there_o be_v three_o part_n of_o this_o shadow_n which_o the_o style_v erect_v be_v illuminate_v from_o the_o sun_n do_v cast_v viz._n a_o dense_n shadow_n a_o central_n and_o a_o shadow_n which_o be_v almost_o a_o dense_n shadow_n which_o a_o ray_n come_v from_o the_o uppermost_a edge_n of_o the_o sun_n do_v terminate_v a_o central_n shadow_n be_v that_o which_o be_v intercept_v between_o the_o ray_n of_o the_o superior_a edge_n and_o the_o centrel_n ray_n the_o penumbra_fw-mi be_v that_o which_o be_v intercept_v between_o the_o central_n ray_n and_o the_o ray_n of_o the_o low_a proposition_n ii_o the_o inhabitant_n of_o the_o place_n of_o the_o earth_n which_o in_o the_o tropic_a of_o cancer_n and_o capricorn_n be_v heteroscij_fw-la heteroscij_fw-la the_o people_n in_o the_o tropic_n be_v heteroscij_fw-la for_o when_o the_o sun_n be_v in_o the_o first_o degree_n of_o cancer_n that_o very_a day_n the_o body_n erect_v in_o any_o point_n of_o the_o tropic_a of_o cancer_n do_v absorbe_v the_o shadow_n of_o the_o sun_n possess_v their_o meridian_n because_o that_o then_o the_o sun_n perpendicular_o from_o his_o vertex_fw-la hang_v over_o the_o horizon_n and_o therefore_o illuminate_v all_o part_n of_o it_o neither_o do_v any_o ray_n from_o the_o erect_a opac_n hinder_v like_o this_o which_o perpendicular_o fall_v on_o the_o plain_a of_o the_o horizon_n and_o therefore_o lie_v in_o the_o very_a opac_n but_o in_o other_o day_n of_o the_o year_n because_o the_o sun_n decline_v from_o the_o vertex_fw-la of_o the_o place_n of_o the_o tropic_a towards_o the_o south_n therefore_o the_o shadow_n be_v cast_v in_o the_o meridies_n towards_o the_o north_n never_o towards_o the_o south_n on_o the_o contrary_a in_o the_o place_n of_o the_o tropic_a of_o capricorn_n every_o day_n it_o be_v cast_v towards_o the_o south_n except_o on_o one_o day_n in_o which_o there_o will_v be_v no_o shadow_n never_o towards_o the_o north._n proposition_n iii_o the_o inhabitant_n of_o the_o torrid_a zone_n be_v amphiscii_n amphiscii_n the_o inhabitant_n of_o the_o torrid_a zone_n be_v call_v amphiscii_n let_v any_o place_n of_o the_o torrid_a zone_n be_v take_v in_o the_o globe_n and_o let_v it_o be_v bring_v to_o the_o meridian_n and_o let_v the_o parallel_n of_o the_o latitude_n which_o shall_v cut_v the_o ecliptic_a in_o two_o point_n be_v describe_v by_o chalk_n apply_v when_o therefore_o the_o sun_n shall_v be_v in_o these_o point_n of_o the_o ecliptic_a he_o shall_v describe_v by_o his_o circumvolution_n a_o parallel_n which_o shall_v direct_o hang_v over_o the_o parallel_n describe_v and_o therefore_o on_o those_o two_o day_n in_o which_o he_o obtain_v those_o point_n of_o the_o ecliptic_a in_o the_o assume_v place_n and_o in_o all_o situate_v in_o the_o describe_v parallel_n he_o shall_v be_v vertical_a in_o the_o meridies_n and_o illustrate_v all_o the_o place_n of_o the_o horizon_n and_o therefore_o no_o shadow_n shall_v be_v cast_v on_o these_o two_o day_n and_o the_o inhabitant_n shall_v be_v amphiscii_n without_o any_o shadow_n but_o on_o the_o other_o day_n of_o the_o year_n they_o shall_v not_o be_v so_o but_o the_o meridian_n shadow_n shall_v either_o be_v cast_v to_o the_o north_n or_o to_o the_o south_n to_o the_o north_n whilst_o the_o sun_n move_v in_o that_o part_n of_o the_o ecliptic_a which_o lie_v in_o those_o two_o point_n before_o note_v towards_o the_o south_n on_o the_o contrary_a to_o the_o south_n whilst_o the_o sun_n move_v in_o that_o part_n of_o the_o ecliptic_a which_o be_v situate_v from_o those_o two_o point_n towards_o the_o north._n proposition_n iu._n the_o inhabitant_n of_o the_o temperate_a zone_n be_v heteroscii_n heteroscii_n the_o inhabitant_n of_o the_o temperate_a zone_n be_v call_v heteroscii_n for_o because_o the_o sun_n in_o all_o those_o day_n of_o the_o year_n in_o the_o meridies_n be_v move_v from_o the_o place_n of_o the_o north_n temperate_a zone_n towards_o that_o quarter_n to_o wit_n the_o south_n and_o on_o the_o contrary_a from_o the_o place_n of_o the_o south_n temperate_a zone_n towards_o the_o north_n it_o follow_v from_o the_o first_o proposition_n that_o the_o meridian_n shadow_n of_o the_o place_n of_o the_o north_n temperate_a zone_n bend_v to_o the_o same_o quarter_n all_o the_o day_n of_o the_o year_n viz._n the_o north_n on_o the_o contrary_a to_o the_o south_n in_o the_o place_n of_o the_o south_n temperate_a zone_n proposition_n v._o the_o inhabitant_n of_o the_o frigid_a zone_n be_v periscii_n periscii_n the_o inhabitant_n of_o the_o frigid_a zone_n be_v call_v periscii_n for_o by_o reason_n that_o on_o some_o day_n of_o the_o year_n the_o sun_n set_v not_o in_o these_o place_n but_o move_v round_o about_o the_o horizon_n it_o be_v also_o necessary_a that_o the_o shadow_n shall_v be_v carry_v round_o into_o all_o quarter_n and_o the_o sun_n be_v in_o the_o superior_a semicircle_n of_o the_o meridian_n the_o shadow_n be_v cast_v towards_o the_o north_n and_o when_o the_o sun_n be_v in_o the_o inferior_a semicircle_n the_o shadow_n be_v carry_v towards_o the_o southern_a quarter_n proposition_n vi_o a_o place_n of_o the_o torrid_a zone_n be_v give_v to_o find_v the_o day_n of_o the_o year_n in_o which_o the_o inhabitant_n of_o that_o place_n shall_v be_v without_o any_o shadow_n and_o in_o what_o day_n the_o shadow_n be_v carry_v to_o the_o north_n and_o in_o what_o to_o the_o south_n let_v the_o day_n of_o the_o year_n in_o which_o the_o sun_n become_v vertical_a to_o the_o place_n give_v be_v find_v those_o shall_v be_v the_o day_n in_o which_o the_o inhabitant_n of_o that_o place_n shall_v be_v without_o a_o shadow_n for_o this_o use_v the_o mode_n in_o the_o three_o proposition_n proposition_n vii_o the_o day_n of_o the_o year_n be_v give_v to_o find_v the_o place_n of_o the_o earth_n in_o the_o globe_n who_o inhabitant_n be_v amphiscii_n
that_o day_n let_v the_o place_n be_v find_v in_o which_o the_o sun_n become_v vertical_a on_o the_o day_n of_o the_o year_n give_v according_a to_o the_o 9th_o proposition_n in_o the_o 24_o chapter_n these_o shall_v be_v the_o place_n seek_v proposition_n viii_o a_o place_n of_o the_o frigid_a zone_n be_v give_v to_o find_v the_o day_n of_o the_o year_n in_o which_o the_o inhabitant_n of_o it_o be_v periscii_n let_v the_o day_n of_o the_o year_n be_v find_v in_o which_o the_o sun_n set_v not_o in_o the_o give_v place_n according_a to_o the_o 10_o proposition_n of_o the_o 24_o chapter_n they_o be_v the_o day_n seek_v proposition_n ix_o the_o day_n of_o the_o year_n be_v give_v to_o find_v out_o the_o place_n of_o the_o frigid_a zone_n the_o inhabitant_n of_o which_o be_v periscii_n that_o day_n so_o that_o this_o day_n be_v the_o first_o day_n let_v those_o place_n of_o the_o frigid_a zone_n be_v find_v in_o which_o the_o sun_n in_o the_o day_n give_v do_v not_o first_o begin_v to_o set_v they_o shall_v be_v the_o place_n seek_v for_o proposition_n x._o in_o place_n situate_v in_o the_o aequator_fw-la the_o meridian_n shadow_n fall_v half_o the_o year_n towards_o the_o north_n the_o other_o half_o towards_o the_o south_n and_o in_o the_o day_n of_o the_o equinox_n the_o inhabitant_n be_v amphiscii_n for_o because_o the_o sun_n in_o one_o half_a of_o the_o year_n recede_v from_o the_o aequator_fw-la towards_o the_o south_n the_o other_o half_o towards_o the_o north_n the_o shadow_n be_v carry_v to_o the_o quarter_n opposite_a to_o the_o quarter_n of_o the_o sun_n and_o thence_o it_o come_v to_o pass_v that_o in_o one_o half_a year_n the_o meridian_n shadow_n be_v carry_v to_o the_o north_n and_o the_o other_o half_a to_o the_o south_n proposition_n xi_o to_o place_v a_o plain_a above_o the_o horizontal_n plain_n of_o our_o place_n in_o which_o the_o erect_a style_n perpendicular_a may_v be_v the_o amphiscii_n for_o some_o day_n of_o the_o year_n on_o some_o day_n 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as_o if_o they_o be_v erect_v in_o the_o place_n of_o the_o torrid_a zone_n proposition_n xii_o in_o the_o place_n seat_v in_o the_o aequator_fw-la the_o shadow_n of_o the_o style_n perpendicular_o erect_v in_o the_o whole_a day_n of_o the_o aequinox_n remain_v in_o one_o right_a line_n whether_o before_o noon_n â—t_z be_v continual_o cast_v into_o one_o quarter_n of_o the_o west_n or_o after_o noon_n into_o a_o quarter_n of_o the_o east_n now_o in_o the_o other_o day_n of_o the_o year_n the_o shadow_n be_v carry_v round_o into_o the_o semicircle_n aequator_fw-la of_o place_n seat_v without_o the_o aequator_fw-la in_o place_n situate_v without_o the_o aequator_fw-la in_o the_o torrid_a zone_n whilst_o the_o sun_n be_v move_v in_o part_n of_o the_o ecliptic_a which_o lie_v between_o the_o vertex_fw-la of_o any_o place_n and_o the_o vicine_fw-la tropic_n the_o shadow_n wander_v through_o the_o lesser_a part_n of_o the_o subject_a superficies_n in_o a_o semicircle_n in_o the_o place_n of_o the_o temperate_a zone_n whilst_o the_o sun_n be_v move_v in_o a_o more_o remote_a circle_n from_o those_o or_o the_o zodiac_n the_o shadow_n steal_v by_o the_o lesser_a superficies_n in_o a_o semicircle_n and_o the_o greaten_v whilst_o the_o sun_n run_v through_o the_o near_a semicircle_n of_o the_o zodiac_n in_o the_o day_n of_o the_o aequinox_n the_o shadow_n of_o a_o erect_a style_n be_v carry_v round_o in_o a_o semicircle_n in_o all_o the_o place_n of_o the_o earth_n except_o the_o aequator_fw-la and_o the_o pole_n these_o be_v all_o render_v perspicuous_a partly_o from_o the_o sight_n of_o the_o globe_n and_o partly_o from_o the_o declination_n of_o the_o diagram_n proposition_n xiii_o in_o the_o place_n of_o the_o torrid_a zone_n whilst_o the_o sun_n be_v in_o the_o arch_n of_o the_o ecliptic_a between_o the_o vicine_fw-la tropic_n and_o the_o parallel_n of_o the_o place_n in_o those_o day_n the_o shadow_n of_o the_o erect_a style_n twice_o return_v back_o and_o go_v over_o the_o line_n leave_v behind_o viz._n once_o before_o noon_n and_o once_o after_o noon_n the_o sun_n also_o in_o these_o day_n will_v seem_v to_o inflect_v his_o course_n zone_n of_o the_o shadow_n of_o the_o sun_n in_o the_o place_n of_o the_o torrid_a zone_n take_v any_o place_n of_o the_o torrid_a zone_n in_o the_o globe_n and_o let_v the_o pole_n be_v elevate_v according_a to_o his_o latitude_n and_o let_v the_o parallel_n of_o the_o place_n be_v describe_v which_o shall_v cut_v the_o ecliptic_a in_o two_o point_n i_o say_v that_o whilst_o the_o sun_n move_v in_o the_o intercept_a arch_n of_o the_o ecliptic_a between_o this_o parallel_n and_o the_o vicine_fw-la tropic_n in_o those_o day_n the_o sun_n will_v seem_v to_o be_v twice_o retrograde_a and_o go_v over_o the_o line_n leave_v behind_o let_v any_o of_o the_o point_n of_o that_o arch_n be_v take_v and_o let_v the_o parallel_n of_o the_o sun_n be_v describe_v viz._n which_o the_o sun_n be_v in_o that_o point_n describe_v by_o diurnal_a circumvolution_n for_o example_n take_v the_o first_o degree_n of_o cancer_n or_o capricorn_n and_o another_o of_o their_o tropic_n for_o so_o there_o will_v be_v no_o need_n of_o the_o description_n of_o a_o parallel_n until_o it_o come_v to_o the_o point_n in_o which_o the_o quadrant_n touch_v the_o parallel_n the_o sun_n be_v in_o this_o seat_n or_o in_o this_o quarter_n will_v seem_v to_o bend_v his_o course_n towards_o the_o vertex_fw-la of_o the_o place_n and_o the_o shadow_n shall_v begin_v to_o be_v retrograde_a from_o the_o line_n of_o the_o aequator_fw-la towards_o the_o meridian_n line_n after_o the_o same_o manner_n if_o that_o you_o apply_v the_o quadrant_n to_o the_o occidental_a part_n of_o the_o parallel_n you_o shall_v see_v in_o that_o point_n in_o which_o the_o quadrant_n touch_v the_o parallel_n that_o the_o sun_n go_v to_o the_o quarter_n he_o have_v leave_v and_o set_v in_o that_o quarter_n in_o which_o some_o hour_n before_o he_o be_v corollary_n therefore_o it_o be_v not_o against_o nature_n that_o the_o shadow_n shall_v go_v back_o on_o sun-dials_n but_o than_o it_o be_v miraculous_a if_o that_o it_o be_v do_v sudden_o in_o a_o note_a space_n also_o if_o it_o repeat_v the_o lineary_a hour_n viz._n if_o that_o the_o style_n be_v not_o perpendicular_a but_o parallel_n to_o the_o mundane_a axletree_n yea_o although_o it_o be_v perpendicular_a yet_o do_v not_o the_o line_n of_o the_o shadow_n itself_o show_v the_o hour_n but_o the_o line_n of_o the_o shadow_n of_o the_o axis_n of_o the_o world_n part_n of_o which_o be_v conceal_v in_o the_o mind_n on_o the_o dial_n if_o that_o it_o be_v want_v proposition_n fourteen_o a_o place_n be_v give_v in_o the_o torrid_a zone_n and_o one_o day_n of_o those_o in_o which_o the_o sun_n seem_v to_o bend_v his_o course_n and_o the_o shadow_n of_o the_o style_n seem_v to_o go_v back_o to_o find_v the_o quarter_n in_o which_o the_o sun_n then_o shall_v be_v and_o the_o hour_n when_o it_o shall_v be_v let_v the_o pole_n be_v elevate_v for_o the_o latitude_n of_o the_o place_n give_v and_o let_v the_o place_n of_o the_o sun_n be_v find_v at_o the_o give_v day_n and_o let_v it_o be_v note_v in_o the_o ecliptic_a and_o let_v the_o parallel_n be_v describe_v with_o chalk_n which_o the_o sun_n be_v in_o that_o point_n describe_v let_v the_o quadrant_n be_v apply_v to_o the_o vertex_fw-la and_o so_o turn_v about_o until_o it_o touch_v the_o describe_v parallel_n so_o the_o extremity_n of_o the_o quadrant_n in_o the_o horizon_n shall_v show_v the_o place_n seek_v for_o now_o that_o the_o hour_n may_v be_v find_v let_v that_o point_n of_o the_o parallel_n be_v note_v in_o which_o the_o contact_n be_v make_v let_v the_o index_n be_v place_v at_o the_o twelve_o
hour_n of_o the_o cycle_n and_o let_v the_o note_a point_n of_o the_o parallel_n be_v turn_v to_o the_o meridian_n the_o index_n will_v show_v how_o many_o hour_n before_o and_o how_o many_o hour_n after_o noon_n the_o regress_n begin_v proposition_n xv._o the_o longitude_n of_o the_o shadow_n decrease_v the_o altitude_n of_o the_o sun_n increase_v and_o on_o the_o contrary_a the_o altitude_n of_o the_o sun_n decrease_v the_o shadow_n increase_v increase_v they_o decrease_v from_o the_o east_n to_o the_o meridies_n and_o from_o the_o meridies_n to_o the_o set_n the_o shadow_n again_o increase_v for_o the_o sun_n be_v more_o near_o the_o vertex_fw-la of_o the_o style_n by_o how_o much_o the_o more_o he_o be_v elevate_v above_o the_o horizon_n therefore_o the_o ray_n of_o the_o sun_n terminate_a the_o shadow_n become_v also_o more_o nigh_o the_o style_n and_o on_o that_o account_n the_o shadow_n become_v lesser_a moreover_o the_o sun_n have_v the_o great_a altitude_n in_o the_o meridies_n therefore_o the_o longitude_n of_o the_o shadow_n than_o shall_v be_v lesser_a but_o in_o the_o rise_n and_o set_v of_o the_o sun_n there_o be_v no_o altitude_n therefore_o the_o longitude_n of_o the_o shadow_n shall_v be_v infinite_a proposition_n xvi_o the_o longitude_n of_o the_o style_n and_o the_o shadow_n be_v give_v to_o find_v the_o altitude_n of_o the_o sun_n above_o the_o horizon_n and_o thence_o the_o hour_n of_o the_o day_n if_o that_o moreover_o the_o latitude_n of_o the_o place_n and_o day_n of_o the_o year_n be_v know_v the_o longitude_n of_o the_o style_n the_o shadow_n and_o the_o ray_n terminate_a the_o shadow_n make_v a_o right_a angle_a triangle_n therefore_o let_v the_o proportion_n be_v institute_v according_a to_o the_o 15_o proposition_n of_o the_o second_o chapter_n as_o the_o longitude_n of_o the_o shadow_n be_v to_o the_o longitude_n of_o the_o style_n so_o be_v the_o whole_a sign_n to_o the_o tangent_fw-la of_o the_o angle_n which_o show_v the_o altitude_n of_o the_o sun_n from_o this_o altitude_n and_o latitude_n of_o the_o place_n 29._o see_v proposit_n 3._o chap._n 29._o and_o day_n of_o the_o year_n shall_v the_o hour_n of_o the_o day_n be_v find_v out_o proposition_n xvii_o the_o semidiameter_n of_o the_o sun_n and_o earth_n be_v give_v and_o the_o distance_n of_o the_o sun_n from_o the_o earth_n to_o find_v out_o the_o longitude_n of_o the_o shadow_n which_o the_o whole_a earth_n cast_v towards_o heaven_n shadow_n of_o the_o longitude_n of_o the_o shadow_n the_o shadow_n of_o the_o earth_n be_v conical_a as_o the_o optic_n demonstrate_v and_o be_v easy_o show_v by_o a_o diagram_n therefore_o the_o distance_n of_o the_o vertex_fw-la of_o this_o cone_n which_o cause_v the_o eclipse_n of_o the_o moon_n from_o the_o earth_n be_v seek_v that_o be_v find_v by_o this_o proposition_n for_o as_o the_o distance_n of_o the_o semidiameter_n of_o the_o sun_n and_o earth_n be_v to_o the_o distance_n give_v so_o be_v the_o semidiameter_n of_o the_o earth_n to_o the_o longitude_n of_o the_o shadow_n of_o the_o earth_n or_o to_o the_o axis_n of_o the_o shady_a cone_n proposition_n xviii_o the_o distance_n of_o the_o moon_n from_o the_o earth_n and_o the_o longitude_n of_o the_o shadow_n of_o the_o earth_n be_v give_v to_o find_v how_o great_a a_o part_n of_o the_o moon_n be_v opscure_v how_o great_a the_o eclipse_n will_v be_v if_o that_o the_o moon_n remain_v in_o the_o ecliptic_a moon_n of_o the_o eclipse_n of_o the_o moon_n let_v the_o rule_n of_o three_o be_v institute_v according_a to_o this_o proportion_n as_o the_o longitude_n of_o the_o shadow_n be_v to_o the_o excess_n of_o this_o longitude_n above_o the_o distance_n of_o the_o moon_n so_o the_o semidiameter_n of_o the_o earth_n be_v to_o that_o shady_a cone_n of_o the_o earth_n in_o that_o part_n where_o the_o moon_n enter_v it_o furthermore_o as_o the_o distance_n of_o the_o moon_n be_v to_o the_o find_v out_o semidianeter_n of_o the_o shadow_n so_o be_v the_o whole_a sign_n of_o the_o canon_n to_o the_o tangent_fw-la of_o the_o angle_n of_o sight_n which_o the_o half_a diameter_n of_o shadow_n subtend_v to_o our_o eye_n which_o if_o it_o be_v double_v the_o angle_n of_o sight_n be_v account_v for_o the_o whole_a diameter_n of_o the_o shadow_n with_o this_o angle_n let_v the_o angle_n of_o sight_n or_o the_o apparent_a semidiameter_n of_o the_o moon_n which_o be_v in_o opposition_n of_o the_o sun_n or_o in_o time_n of_o eclipse_n be_v compare_v from_o this_o comparation_n the_o quantity_n of_o the_o obcsurity_n will_v be_v make_v manifest_a which_o if_o you_o desire_v to_o have_v in_o digit_n institute_v a_o rule_n of_o proportion_n after_o this_o manner_n as_o the_o diameter_n of_o the_o moon_n be_v to_o twelve_o digit_n so_o be_v the_o apparent_a diameter_n of_o the_o shadow_n or_o angle_n of_o sight_n to_o the_o ecliptic_a digit_n proposition_n xix_o by_o how_o much_o the_o place_n of_o the_o earth_n every_o day_n be_v more_o remote_a from_o the_o aequator_fw-la or_o from_o the_o parallel_n of_o the_o sun_n by_o so_o much_o the_o more_o both_o the_o meridian_n shadow_n as_o well_o as_o the_o shadow_n of_o the_o rest_n of_o the_o hour_n be_v long_o for_o because_o the_o sun_n be_v more_o remote_a from_o the_o vertex_fw-la of_o those_o place_n therefore_o also_o the_o ray_n of_o the_o sun_n terminate_a the_o shadow_n be_v more_o remote_a from_o the_o style_n and_o therefore_o the_o shadow_n be_v so_o much_o the_o long_o extend_v proposition_n xx._n if_o that_o the_o style_n be_v place_v in_o any_o plain_a after_o such_o a_o mode_n that_o it_o become_v part_n of_o the_o axis_n of_o the_o world_n or_o that_o it_o be_v parallel_n to_o that_o axis_n the_o shadow_n of_o that_o style_n shall_v fall_v on_o a_o certain_a hour_n on_o the_o very_a line_n of_o that_o plain_a in_o which_o this_o line_n be_v cut_v by_o the_o great_a horary_a circle_n whether_o of_o declination_n or_o from_o the_o meridian_n in_o which_o the_o sun_n be_v at_o that_o hour_n hour_n a_o moment_n or_o small_a space_n of_o a_o hour_n for_o the_o shadow_n of_o the_o axis_n of_o the_o world_n or_o the_o style_n so_o place_v fall_v on_o the_o plain_a of_o the_o horary_a or_o meridian_n circle_n in_o which_o the_o sun_n be_v at_o that_o moment_n of_o time_n for_o neither_o can_v it_o fall_v beyond_o the_o plain_n see_v that_o the_o sun_n the_o opac_a body_n and_o the_o shadow_n be_v in_o one_o plain_n upon_o which_o the_o style_n be_v place_v wherefore_o see_v this_o style_n be_v upon_o this_o plain_a as_o also_o on_o the_o plain_a of_o the_o meridian_n which_o the_o sun_n keep_v for_o a_o moment_n thence_o it_o follow_v that_o this_o shadow_n may_v fall_v on_o the_o common_a section_n of_o this_o plain_a or_o the_o plain_a of_o the_o meridian_n or_o of_o the_o horary_a circle_n for_o if_o any_o line_n be_v in_o two_o or_o more_o plain_n it_o shall_v be_v in_o the_o common_a section_n of_o those_o plain_n proposition_n xxi_o to_o describe_v the_o aequinoctial_a night-dial_n night-dial_n aequinoctial_a night-dial_n a_o plain_a of_o wood_n paper_n brass_n or_o other_o metal_n must_v be_v erect_v above_o the_o horizon_n so_o many_o degree_n as_o the_o aequator_fw-la be_v elevate_v above_o the_o horizon_n or_o so_o many_o degree_n as_o be_v in_o the_o compliment_n of_o the_o latitude_n of_o the_o place_n before_o it_o be_v erect_v it_o be_v necessary_a to_o draw_v the_o line_n of_o the_o scioterick_n therefore_o let_v what_o point_n you_o please_v be_v take_v in_o that_o plain_a and_o let_v the_o periphery_a of_o the_o circle_n be_v describe_v from_o it_o as_o from_o a_o centre_n let_v a_o line_n parallel_n to_o the_o horizon_n be_v draw_v through_o that_o centre_n or_o let_v the_o line_n be_v parallel_n to_o the_o common_a section_n of_o the_o aequator_fw-la and_o the_o horizon_n which_o shall_v be_v the_o line_n of_o the_o shadow_n of_o the_o hour_n of_o six_o in_o the_o evening_n and_o six_o in_o the_o morning_n let_v a_o line_n perpendicular_a to_o this_o be_v draw_v from_o the_o centre_n which_o shall_v be_v the_o shadow_n of_o the_o twelve_o hour_n then_o let_v both_o the_o quadrant_n be_v divide_v into_o three_o part_n and_o every_o one_o of_o those_o three_o into_o two_o so_o that_o the_o six_o arch_n may_v be_v in_o every_o one_o of_o they_o whereof_o every_o one_o shall_v be_v of_o fifteen_o degree_n and_o let_v they_o be_v draw_v from_o the_o centre_n to_o the_o term_n or_o bound_n of_o the_o arch_n of_o the_o right_a line_n these_o shall_v be_v the_o line_n of_o the_o shadow_n for_o the_o beginning_n of_o the_o remain_a hour_n which_o fall_v between_o twelve_o and_o six_o who_o number_n and_o order_n must_v be_v set_v down_o at_o the_o extremity_n of_o the_o line_n draw_v the_o same_o
perioeci_n and_o what_o hour_n they_o do_v not_o see_v it_o together_o let_v the_o place_n of_o the_o stay_n of_o the_o sun_n above_o the_o horizon_n of_o the_o place_n give_v be_v find_v at_o the_o day_n give_v and_o let_v the_o time_n of_o his_o stay_n beneath_o the_o horizon_n that_o be_v the_o quantity_n of_o the_o day_n and_o the_o night_n be_v find_v half_o the_o difference_n between_o the_o quantity_n of_o the_o day_n and_o the_o night_n will_v show_v the_o hour_n or_o part_n of_o the_o hour_n in_o which_o the_o sun_n first_o rise_v to_o one_o place_n before_o he_o set_v to_o another_o and_o set_v late_a also_o to_o that_o place_n than_o he_o arise_v to_o this_o chap._n xxix_o of_o the_o computation_n of_o time_n in_o the_o divers_a place_n of_o the_o earth_n proposition_n i._o the_o hour_n of_o one_o place_n be_v give_v in_o the_o globe_n to_o find_v the_o hour_n of_o another_o place_n give_v out_o by_o the_o globe_n the_o hour_n of_o the_o place_n be_v find_v out_o let_v the_o place_n who_o hour_n be_v give_v be_v bring_v to_o the_o brazen_a meridian_n the_o index_n to_o that_o hour_n of_o the_o horary_a cycle_n such_o as_o be_v give_v let_v the_o globe_n be_v turn_v round_o until_o the_o other_o give_v place_n come_v under_o the_o meridian_n the_o index_n in_o that_o situation_n of_o the_o globe_n will_v show_v the_o hour_n demand_v of_o this_o other_o place_n proposition_n ii_o the_o hour_n of_o our_o place_n be_v give_v or_o of_o some_o other_o place_n in_o the_o globe_n to_o exhibit_v on_o the_o globe_n all_o those_o place_n in_o which_o at_o that_o hour_n the_o meridies_n be_v also_o those_o in_o which_o it_o be_v midnight_n also_o those_o in_o which_o be_v what_o hour_n we_o please_v the_o problem_n shall_v be_v propound_v concern_v the_o earth_n if_o we_o will_v act_v scientifical_o for_o it_o be_v a_o affection_n of_o the_o earth_n understand_v the_o same_o concern_v many_o other_o follow_v problem_n let_v the_o place_n give_v be_v bring_v to_o the_o meridian_n the_o index_n to_o the_o give_v hour_n of_o the_o horary_a cycle_n let_v the_o globe_n be_v turn_v round_o until_o the_o index_n show_v the_o 12_o hour_n of_o the_o meridies_n so_o the_o place_n which_o be_v discover_v to_o be_v subject_a to_o the_o superior_a semicircle_n of_o the_o meridian_n from_o the_o elevate_a pole_n to_o the_o pole_n depress_v be_v those_o which_o have_v the_o meridies_n at_o the_o time_n give_v but_o if_o the_o globe_n be_v turn_v round_o that_o the_o index_n may_v show_v the_o 12_o inferior_a hour_n the_o place_n which_o be_v discover_v to_o be_v subject_a to_o the_o same_o semicircle_n of_o the_o meridian_n be_v those_o in_o which_o the_o midnight_n than_o shall_v be_v if_o we_o desire_v place_n in_o which_o be_v any_o hour_n let_v the_o globe_n be_v turn_v until_o the_o index_n show_v that_o hour_n if_o the_o place_n subject_n to_o the_o semicircle_n of_o the_o meridian_n be_v those_o that_o be_v seek_v proposition_n iii_o the_o altitude_n of_o the_o sun_n be_v give_v the_o day_n of_o the_o year_n and_o the_o latitude_n of_o the_o place_n to_o find_v the_o hour_n at_o the_o time_n of_o that_o altitude_n day_n rule_n for_o the_o find_v the_o hour_n of_o the_o day_n let_v the_o pole_n be_v elevate_v for_o the_o give_v latitude_n of_o the_o place_n from_o the_o give_v day_n let_v the_o place_n of_o the_o sun_n be_v find_v in_o the_o ecliptic_a and_o let_v that_o be_v note_v in_o the_o ecliptic_a of_o the_o globe_n and_o bring_v to_o the_o meridian_n then_o let_v the_o quadrant_n be_v apply_v to_o the_o vertex_fw-la and_o let_v the_o degree_n of_o the_o give_v altitude_n be_v note_v in_o it_o and_o let_v the_o index_n be_v place_v at_o the_o 12_o hour_n of_o the_o horary_a cycle_n then_o let_v the_o globe_n and_o the_o quadrant_n be_v move_v until_o the_o note_a place_n of_o the_o sun_n agree_v with_o the_o note_a point_n of_o the_o quadrant_n in_o that_o situation_n the_o sun_n will_v show_v the_o hour_n demand_v proposition_n iu._n a_o quarter_n be_v give_v in_o which_o the_o sun_n be_v behold_v sometime_o of_o the_o day_n give_v and_o the_o latitude_n of_o a_o place_n be_v give_v to_o find_v the_o hour_n of_o the_o day_n compass_n mariner_n observe_v the_o quarter_n of_o the_o sun_n on_o the_o compass_n let_v all_o be_v do_v as_o in_o the_o precede_a proposition_n that_o the_o quadrant_n may_v be_v apply_v to_o the_o vertex_fw-la let_v his_o end_n or_o extremity_n be_v bring_v to_o that_o quarter_n of_o the_o horizon_n which_o be_v observe_v and_o let_v the_o globe_n be_v turn_v round_o until_o that_o point_n of_o the_o sun_n come_v to_o the_o quadrant_n in_o this_o situation_n the_o index_n will_v show_v the_o hour_n of_o the_o day_n proposition_n v._o the_o sun_n shine_v by_o the_o benefit_n of_o the_o globe_n to_o know_v the_o hour_n of_o the_o place_n give_v or_o the_o latitude_n thereof_o which_o be_v give_v let_v the_o pole_n be_v elevate_v for_o the_o give_v latitude_n of_o the_o place_n and_o let_v the_o globe_n be_v place_v at_o the_o four_o quarter_n of_o the_o world_n then_o let_v a_o needle_n be_v fix_v perpendicular_o at_o the_o place_n of_o the_o sun_n in_o the_o ecliptic_a or_o which_o be_v better_o let_v the_o spherical_a gnomon_n be_v apply_v to_o the_o ecliptic_a so_o that_o the_o apex_n of_o the_o gnomon_n fix_v on_o the_o place_n of_o the_o sun_n and_o so_o let_v it_o be_v bring_v to_o the_o meridian_n and_o the_o index_n to_o the_o 12_o hour_n let_v the_o globe_n be_v turn_v until_o the_o needle_n make_v no_o shadow_n on_o the_o globe_n in_o this_o situation_n the_o index_n will_v show_v the_o demand_v hour_n proposition_n vi_o a_o hour_n of_o our_o numeration_n be_v give_v to_o find_v what_o hour_n it_o be_v from_o the_o rise_n of_o the_o sun_n that_o be_v the_o babylonish_n or_o norimbergian_a hour_n in_o time_n past_o the_o babylonian_n and_o now_o the_o inhabitant_n of_o norimberg_n and_o some_o other_o people_n reckon_v 24_o hour_n from_o one_o rise_v of_o the_o sun_n to_o the_o rise_n of_o the_o sun_n the_o next_o day_n let_v the_o pole_n be_v elevate_v from_o the_o latitude_n of_o the_o place_n give_v and_o the_o place_n of_o the_o sun_n be_v find_v from_o the_o day_n give_v let_v it_o be_v bring_v to_o the_o meridian_n the_o index_n to_o the_o 12_o hour_n of_o the_o horary_a cycle_n let_v the_o globe_n be_v turn_v until_o the_o index_n show_v the_o hour_n give_v then_o the_o globe_n remain_v immovable_a let_v the_o index_n be_v reduce_v to_o 12_o which_o be_v do_v let_v the_o globe_n be_v turn_v from_o the_o set_n to_o the_o rise_n until_o the_o place_n of_o the_o sun_n appear_v in_o the_o oriental_a horizon_n and_o in_o the_o horary_a cycle_n let_v the_o hour_n be_v reckon_v from_o 12_o towards_o the_o east_n or_o rise_n even_o to_o the_o index_n for_o these_o be_v the_o babylonish_n or_o norimberg_n hour_n seek_v for_o proposition_n vii_o on_o the_o contrary_a the_o hour_n be_v give_v from_o the_o babylonish_n rise_v to_o find_v out_o the_o hour_n of_o our_o numeration_n which_o be_v from_o midnight_n or_o midnoon_n let_v the_o pole_n be_v elevate_v for_o the_o latitude_n of_o the_o place_n give_v let_v the_o place_n of_o the_o sun_n be_v note_v in_o the_o ecliptic_a and_o bring_v to_o the_o oriental_a horizon_n the_o index_n to_o the_o 12_o hour_n let_v the_o globe_n be_v turn_v towards_o the_o west_n until_o the_o index_n show_v the_o hour_n give_v on_o the_o cycle_n from_o the_o east_n which_o be_v do_v let_v the_o index_n be_v reduce_v to_o the_o 12_o hour_n and_o then_o let_v the_o globe_n again_o be_v move_v until_o the_o place_n of_o the_o sun_n be_v bring_v back_o to_o the_o semicircle_n of_o the_o meridian_n which_o be_v next_o pass_v through_o and_o let_v the_o hour_n be_v number_v from_o 12_o to_o the_o index_n towards_o that_o quarter_n unto_o which_o the_o motion_n of_o the_o globe_n be_v make_v so_o shall_v be_v find_v the_o hour_n of_o our_o number_n from_o the_o meridies_n or_o midnight_n proposition_n viii_o a_o hour_n of_o our_o reckon_a be_v give_v to_o find_v what_o hour_n it_o be_v from_o the_o precede_a set_v of_o the_o sun_n that_o be_v the_o italian_a hour_n hour_n of_o italian_a hour_n at_o this_o day_n in_o many_o place_n of_o italy_n and_o in_o time_n pass_v in_o greece_n they_o number_v 24_o hour_n from_o one_o set_v of_o the_o sun_n to_o the_o follow_v or_o next_o set_v to_o find_v out_o which_o we_o must_v thus_o do_v from_o the_o hour_n of_o our_o numeration_n let_v the_o pole_n be_v elevate_v for_o the_o latitude_n of_o the_o place_n give_v let_v the_o place_n of_o the_o sun_n in_o the_o
ecliptic_a be_v note_v and_o bring_v to_o the_o meridan_n let_v the_o index_n be_v place_v at_o the_o 12_o hour_n at_o noon_n of_o the_o cycle_n let_v the_o globe_n be_v turn_v until_o the_o index_n show_v the_o hour_n give_v then_o the_o globe_n be_v immovable_a let_v the_o index_n be_v bring_v to_o the_o 12_o hour_n and_o this_o be_v do_v let_v the_o globe_n be_v turn_v towards_o the_o east_n until_o the_o place_n of_o the_o sun_n be_v behold_v in_o the_o occidental_a horizon_n then_o let_v the_o hour_n be_v number_v from_o 12_o to_o the_o index_n near_o the_o quarter_n of_o his_o motion_n for_o these_o shall_v be_v the_o italian_a hour_n of_o numeration_n proposition_n ix_o the_o hour_n from_o the_o set_n of_o the_o sun_n or_o of_o italic_a numeration_n be_v give_v to_o find_v what_o hour_n it_o be_v of_o our_o numeration_n from_o the_o midnoon_n or_o midnight_n let_v the_o pole_n be_v elevate_v for_o the_o latitude_n of_o the_o place_n give_v let_v the_o place_n of_o the_o sun_n in_o the_o ecliptic_a be_v note_v and_o bring_v to_o the_o meridian_n let_v the_o index_n be_v place_v at_o the_o hour_n 12_o let_v the_o globe_n be_v turn_v to_o the_o set_n until_o the_o index_n show_v the_o give_v italic_a hour_n then_o the_o globe_n remain_v immovable_a let_v the_o index_n be_v bring_v to_o the_o 12_o hour_n this_o be_v do_v let_v the_o place_n of_o the_o sun_n be_v turn_v back_o to_o that_o semicircle_n of_o the_o meridian_n which_o it_o do_v near_o pass_v through_o so_o the_o hour_n interrupt_v between_o 12_o and_o the_o index_n number_v from_o 12_o towards_o the_o rise_a be_v the_o hour_n from_o the_o meridies_n or_o midnight_n according_a to_o our_o numeration_n or_o reckon_n proposition_n x._o a_o hour_n of_o our_o numeration_n be_v give_v on_o the_o day_n give_v to_o find_v what_o hour_n of_o the_o day_n that_o hour_n be_v according_a to_o the_o ancient_a judaic_a account_n and_o that_o of_o other_o nation_n night_n the_o jew_n division_n of_o the_o day_n and_o night_n in_o ancient_a time_n the_o jew_n and_o other_o nation_n astronomy_n be_v not_o yet_o polish_v divide_v every_o day_n from_o the_o rise_n of_o the_o sun_n to_o his_o set_n into_o 12_o hour_n and_o the_o night_n into_o as_o many_o which_o hour_n be_v therefore_o term_v judaical_a hour_n planetary_a hour_n for_o another_o reason_n but_o more_o fit_o unequal_a hour_n for_o see_v that_o neither_o the_o day_n or_o night_n be_v equal_a among_o themselves_o or_o of_o equal_a longitude_n but_o increase_n for_o half_a a_o year_n 25._o see_v chap._n 25._o and_o decrease_v the_o other_o half_n except_o in_o the_o place_n of_o the_o aequator_fw-la thence_o it_o come_v to_o pass_v that_o those_o hour_n be_v sometime_o great_a and_o sometime_o lesser_a for_o they_o increase_v with_o the_o longitude_n of_o the_o day_n and_o decrease_v with_o the_o decrease_n of_o the_o same_o but_o in_o place_n near_o the_o aequator_fw-la this_o increase_n be_v not_o great_a as_o we_o have_v show_v in_o the_o 25_o chapter_n but_o all_o the_o day_n of_o the_o whole_a year_n be_v almost_o equal_a and_o thence_o it_o come_v to_o pass_v that_o the_o people_n more_o remote_a from_o the_o aequator_fw-la as_o those_o of_o europe_n never_o use_v these_o hour_n but_o only_o those_o people_n who_o be_v not_o far_o remove_v from_o or_o that_o dwell_v under_o the_o torrid_a zone_n therefore_o the_o problem_n may_v be_v thus_o more_o clear_o propound_v viz._n a_o equal_a hour_n be_v give_v in_o a_o give_v day_n to_o find_v a_o unequal_a hour_n a_o equal_a hour_n be_v term_v the_o 12_o part_n of_o any_o day_n or_o night_n or_o of_o the_o time_n in_o which_o the_o sun_n do_v remain_v above_o or_o beneath_o the_o horizon_n a_o unequal_a hour_n be_v term_v the_o 24_o part_n of_o that_o time_n in_o which_o the_o sun_n be_v move_v from_o the_o semicircle_n of_o the_o meridian_n until_o it_o return_v again_o to_o the_o same_o semicircle_n which_o time_n be_v call_v a_o astronomical_a day_n now_o for_o the_o solution_n of_o this_o problem_n we_o must_v thus_o act_v let_v the_o pole_n he_o elevate_v for_o the_o latitude_n of_o the_o place_n give_v let_v the_o place_n of_o the_o sun_n in_o the_o ecliptic_a be_v note_v and_o bring_v to_o the_o east_n the_o index_n to_o the_o 12_o hour_n of_o the_o cycle_n let_v the_o globe_n be_v turn_v until_o the_o note_a place_n of_o the_o sun_n come_v to_o the_o west_n the_o index_n will_v show_v the_o hour_n for_o the_o longitude_n of_o this_o day_n or_o the_o stay_n of_o the_o sun_n above_o the_o horizon_n which_o must_v be_v observe_v then_o set_v it_o be_v find_v what_o be_v the_o hour_n give_v from_o the_o east_n or_o rise_n or_o from_o the_o west_n and_o set_v if_o that_o any_o hour_n be_v give_v after_o the_o set_n of_o the_o sun_n according_a to_o the_o 6_o or_o 8_o proposition_n 8._o see_v proposition_n 6_o and_o 8._o and_o let_v the_o proportion_n be_v compare_v after_o this_o mode_n that_o as_o the_o note_a hour_n of_o the_o longitude_n of_o the_o whole_a day_n or_o night_n be_v unto_o 2_o hour_n so_o the_o hour_n find_v from_o the_o rise_n or_o set_v if_o that_o a_o hour_n of_o the_o night_n be_v give_v be_v to_o the_o number_n of_o the_o judaic_a hour_n proposition_n xi_o the_o judaic_a hour_n be_v give_v in_o the_o day_n give_v to_o find_v what_o hour_n that_o be_v according_a to_o our_o numeration_n or_o account_n or_o to_o reduce_v a_o give_v unequal_a hour_n to_o a_o equal_a hour_n hour_n of_o the_o judaic_a hour_n let_v the_o pole_n be_v elevate_v for_o the_o latitude_n of_o the_o place_n give_v the_o place_n of_o the_o sun_n in_o the_o ecliptic_a from_o the_o day_n give_v be_v find_v let_v it_o be_v bring_v to_o the_o east_n the_o index_n to_o the_o 12_o hour_n and_o let_v the_o globe_n be_v turn_v to_o the_o west_n that_o the_o longitude_n of_o that_o day_n may_v appear_v in_o unequal_a hour_n on_o the_o horary_a cycle_n which_o be_v note_v then_o let_v the_o place_n of_o the_o sun_n be_v bring_v to_o the_o meridian_n the_o index_n unto_o 12_o and_o let_v the_o place_n of_o the_o sun_n be_v turn_v round_o to_o the_o oriental_a honrizon_n the_o index_n will_v show_v the_o hour_n of_o the_o rise_n then_o let_v it_o so_o be_v bring_v to_o pass_v that_o 12_o be_v add_v to_o the_o number_n of_o the_o judaic_a hour_o so_o also_o let_v the_o find_v out_o latitude_n of_o the_o whole_a be_v add_v to_o the_o other_o number_n which_o if_o that_o be_v add_v to_o the_o hour_n of_o the_o rise_n we_o shall_v have_v the_o hour_n from_o the_o midnight_n according_a to_o our_o numeration_n if_o that_o the_o number_n of_o these_o hour_n be_v more_o than_o 12_o let_v 12_o cast_v away_o and_o the_o remainder_n will_v show_v the_o hour_n from_o noon_n those_o judaic_a hour_n which_o be_v relate_v in_o the_o sermon_n of_o christ_n can_v accurate_o be_v reduce_v to_o the_o hour_n of_o our_o account_n because_o the_o day_n of_o the_o year_n be_v not_o add_v so_o that_o the_o three_o hour_n of_o that_o day_n may_v be_v our_o 8_o 9th_o or_o 10_o so_o that_o the_o 11_o hour_n of_o that_o sermon_n may_v be_v our_o seven_o 6_o or_o 5_o viz_o as_o that_o day_n may_v be_v take_v either_o according_a to_o the_o summer_n or_o winter_n solstice_n or_o the_o aequinoctial_a proposition_n xii_o those_o who_o go_v from_o some_o one_o part_n of_o the_o earth_n or_o sail_v towards_o the_o sun_n rise_v and_o the_o whole_a globe_n of_o the_o earth_n be_v encompass_v by_o they_o they_o return_v to_o the_o same_o place_n whence_o they_o set_v forth_o they_o in_o the_o mean_a space_n at_o once_o have_v often_o have_v the_o sun_n rise_v set_v the_o meridies_n and_o the_o midnight_n the_o very_a same_o with_o the_o inhabitant_n of_o the_o place_n from_o which_o they_o go_v from_o and_o therefore_o when_o they_o return_v they_o number_v one_o day_n of_o a_o year_n more_o than_o in_o that_o place_n for_o example_n if_o in_o this_o place_n it_o be_v the_o first_o day_n of_o january_n they_o reckon_v the_o second_o of_o january_n if_o they_o account_v it_o to_o be_v saturday_n they_o reckon_v sunday_n and_o if_o they_o shall_v have_v sail_v about_o the_o earth_n twice_o thrice_o or_o four_o time_n they_o shall_v still_o number_v so_o many_o more_o day_n earth_n of_o the_o compass_n of_o the_o earth_n those_o who_o by_o a_o determine_a course_n sail_v about_o the_o whole_a earth_n towards_o the_o west_n they_o in_o the_o mean_a while_n for_o one_o space_n have_v the_o set_n or_o rise_v sun_n the_o meridies_n and_o midnight_n more_o rare_a and_o therefore_o when_o they_o return_v they_o number_v one_o day_n less_o than_o in_o that_o
parallel_n direct_o ascend_v from_o the_o horizon_n to_o the_o meridian_n then_o let_v the_o pole_n be_v elevate_v for_o the_o latitude_n of_o any_o other_o place_n and_o it_o will_v appear_v that_o the_o parallel_n be_v so_o much_o the_o more_o oblique_a to_o the_o horizon_n by_o how_o much_o the_o more_o the_o pole_n be_v elevate_v that_o be_v by_o the_o wooden_a horizon_n become_v the_o horizon_n of_o the_o place_n more_o remote_a from_o the_o aequator_fw-la or_o near_o to_o the_o pole_n proposition_n vii_o by_o how_o much_o the_o place_n be_v more_o remote_a from_o the_o aequator_fw-la by_o so_o much_o the_o more_o the_o sign_n of_o the_o zodiac_n and_o the_o other_o constellation_n require_v the_o great_a time_n to_o arise_v and_o set_v and_o they_o pass_v through_o the_o meridian_n of_o all_o place_n at_o a_o equal_a time_n let_v two_o place_n be_v take_v on_o the_o globe_n unequal_o distant_a from_o the_o aequator_fw-la and_o let_v the_o pole_n be_v elevate_v and_o observe_v separately_z for_o each_o of_o they_o how_o much_o time_n any_o sign_n of_o the_o zodiac_n require_v to_o ascend_v above_o the_o horizon_n viz._n the_o entrance_n of_o the_o sign_n be_v bring_v to_o the_o oriental_a horizon_n let_v the_o index_n be_v place_v at_o the_o 12_o hour_n and_o the_o globe_n be_v turn_v round_o until_o the_o whole_a sign_n be_v rise_v the_o index_n will_v show_v the_o hour_n elapse_v in_o the_o space_n whilst_o the_o sign_n arise_v for_o by_o the_o comparison_n of_o the_o time_n the_o truth_n of_o the_o proposition_n will_v be_v manifest_a proposition_n viii_o the_o day_n of_o the_o year_n be_v give_v to_o find_v or_o show_v on_o the_o globe_n those_o place_n in_o which_o the_o sun_n arise_v in_o any_o give_a quarter_n globe_n to_o find_v the_o rise_n of_o the_o sun_n in_o any_o quarter_n by_o the_o globe_n this_o problem_n and_o those_o that_o follow_v shall_v be_v propound_v and_o resolve_v concern_v the_o earth_n itself_o if_o that_o we_o will_v act_v according_a to_o art_n for_o these_o affection_n belong_v unto_o it_o but_o they_o be_v propound_v concern_v the_o globe_n because_o here_o it_o represent_v the_o earth_n although_o another_o method_n must_v be_v use_v in_o the_o earth_n or_o another_o construction_n which_o although_o it_o can_v only_o be_v comprehend_v by_o the_o mind_n be_v sufficient_a that_o it_o may_v hinder_v in_o the_o practice_n by_o reason_n of_o the_o obstacle_n this_o be_v the_o same_o with_o that_o problem_n the_o day_n and_o the_o quarter_n be_v give_v in_o which_o the_o rise_n of_o the_o sun_n be_v observe_v to_o find_v the_o latitude_n of_o that_o place_n or_o its_o parallel_n in_o any_o point_n of_o which_o it_o be_v manifest_a that_o we_o be_v place_v 11._o see_v chap._n 23._o proposit_n 11._o the_o solution_n of_o which_o we_o have_v deliver_v in_o the_o 23_o chapter_n proposition_n 11._o proposition_n ix_o the_o day_n and_o the_o hour_n or_o part_n of_o the_o hour_n be_v give_v to_o show_v the_o place_n on_o the_o globe_n to_o which_o the_o sun_n be_v then_o vertical_a first_o let_v the_o place_n of_o the_o sun_n from_o the_o give_v day_n be_v find_v be_v note_v on_o the_o ecliptic_a of_o the_o globe_n and_o that_o be_v bring_v to_o the_o meridian_n let_v a_o mark_n be_v make_v with_o a_o chalk_n on_o the_o supereminent_a point_n then_o let_v those_o place_n be_v find_v in_o who_o meridian_n the_o sun_n be_v at_o the_o give_v moment_n of_o time_n and_o let_v they_o be_v bring_v to_o the_o brazen_a meridian_n these_o be_v do_v that_o place_n which_o be_v subject_a to_o the_o note_a point_n of_o the_o meridian_n be_v the_o place_n which_o be_v demand_v viz._n that_o to_o which_o the_o sun_n be_v vertical_a at_o the_o give_v moment_n of_o time_n proposition_n x._o note_v further_o note_v the_o day_n and_o the_o hour_n be_v give_v to_o show_v all_o the_o place_n on_o the_o globe_n from_o who_o vertex_fw-la the_o sun_n be_v distant_a the_o give_v degree_n at_o that_o hour_n but_o the_o give_v degree_n must_v not_o exceed_v a_o hundred_o and_o eighty_o or_o the_o day_n and_o the_o hour_n be_v give_v to_o show_v on_o the_o globe_n those_o place_n above_o who_o horizon_n the_o sun_n have_v the_o give_v altitude_n or_o the_o give_v depression_n beneath_o it_o but_o the_o altitude_n give_v must_v not_o exceed_v 90_o degree_n as_o likewise_o the_o depression_n let_v the_o place_n be_v find_v on_o the_o globe_n to_o which_o the_o sun_n be_v vertical_a at_o the_o hour_n give_v and_o let_v this_o be_v bring_v to_o the_o meridian_n and_o let_v the_o quadrant_n be_v affix_v to_o the_o imminent_a point_n of_o the_o meridian_n let_v the_o degree_n of_o distance_n from_o the_o vertex_fw-la give_fw-mi be_v note_v and_o the_o quadrant_n be_v turn_v round_o the_o globe_n remain_v immovable_a all_o the_o place_n of_o the_o earth_n through_o which_o the_o note_a degree_n of_o the_o quadrant_n pass_v be_v those_o from_o who_o the_o sun_n have_v the_o give_v distance_n or_o above_o who_o horizon_n the_o sun_n have_v the_o give_v altitude_n proposition_n xi_o at_o the_o give_v hour_n of_o the_o day_n to_o show_v on_o the_o globe_n all_o plain_n unto_o which_o the_o sun_n rise_v and_o set_v and_o to_o which_o he_o be_v fix_v at_o the_o meridian_n and_o all_o that_o be_v illuminate_v and_o not_o illuminate_v day_n further_o concern_v the_o rise_n and_o set_v of_o the_o sun_n find_v out_o by_o the_o globe_n at_o any_o day_n or_o hour_n of_o the_o day_n let_v the_o place_n be_v find_v in_o the_o globe_n to_o which_o the_o sun_n at_o the_o time_n give_v be_v vertical_a and_o let_v the_o place_n be_v bring_v to_o the_o meridian_n and_o the_o pole_n elevate_v for_o the_o latitude_n of_o that_o place_n or_o let_v that_o place_n be_v place_v in_o the_o vertex_fw-la of_o the_o horizon_n so_o all_o those_o place_n which_o be_v discover_v under_o the_o semicircle_n of_o the_o meridian_n above_o the_o horizon_n shall_v have_v the_o meridies_n but_o those_o place_n which_o be_v behold_v in_o the_o oriental_a semicircle_n of_o the_o horizon_n be_v those_o to_o which_o the_o sun_n than_o set_v but_o to_o those_o which_o lie_v in_o the_o occidental_a semicircle_n of_o the_o horizon_n the_o sun_n rise_v at_o the_o give_v time_n and_o all_o the_o place_n which_o be_v above_o the_o horizon_n be_v illuminate_v by_o the_o sun_n on_o the_o contrary_a all_o the_o place_n situate_v beneath_o the_o same_o then_o want_v the_o presence_n of_o the_o sun_n note_v that_o the_o problem_n must_v be_v understand_v of_o the_o rise_n and_o set_v of_o the_o body_n of_o the_o centre_n of_o the_o sun_n for_o the_o body_n of_o the_o sun_n illustrate_v part_n of_o the_o earth_n somewhat_o big_a than_o the_o hemisphere_n which_o how_o big_a it_o be_v shall_v be_v discover_v in_o the_o follow_a proposition_n therefore_o we_o may_v show_v the_o place_n to_o which_o the_o sun_n rise_v or_o set_v when_o we_o have_v noon_n or_o midnight_n and_o contrariwise_o those_o in_o which_o he_o set_v when_o he_o arise_v to_o we_o who_o then_o have_v midnight_n or_o midday_n proposition_n xii_o the_o semidiameter_n of_o the_o sun_n and_o earth_n be_v give_v and_o the_o distance_n of_o the_o sun_n from_o the_o earth_n be_v know_v to_o find_v out_o the_o part_n of_o the_o earth_n which_o the_o sun_n illuminate_v scheme_n see_v scheme_n let_v the_o semidiameter_n of_o the_o earth_n be_v a_o b_o a_o c_o a_o the_o centre_n a_o b_o c_o d_o e_o the_o great_a circle_n of_o the_o earth_n s_n the_o centre_n of_o the_o sun_n s_o l_o s_o o_o the_o semidiameter_n of_o the_o sun_n l_o b_o o_o c_o the_o ray_n touch_v the_o globe_n of_o the_o sun_n and_o earth_n for_o these_o distinguish_v the_o part_n illuminate_v from_o the_o part_n not_o illuminate_v therefore_o the_o arch_n b_o d_o c_o represent_v the_o part_n of_o the_o superficies_n of_o the_o earth_n illuminate_v and_o the_o arch_n blc_n the_o part_n not_o illuminate_v let_v the_o tangent_n lb_n o_o c_o be_v extend_v until_o they_o concur_v in_o r_n and_z b_o n_n parallel_v to_o a_o s_n therefore_o in_o the_o triangle_n b_o n_o l_o let_v n_n l_o be_v give_v the_o excess_n s_o l_o above_o a_o b_o and_z b_o n_z of_o equal_a distance_n to_o a_o s_n the_o angle_n b_o n_o l_o be_v direct_a because_o that_o b_o l_o touch_v the_o circle_n wherefore_o in_o the_o triangle_n b_o l_o n_o let_v the_o angle_n n_o b_o l_o be_v find_v according_a to_o this_o proposition_n that_o as_o b_o n_n be_v to_o n_n l_o so_fw-mi be_v the_o whole_a sign_n to_o the_o tangent_fw-la of_o the_o angle_n n_o b_o l._n moreover_n the_o two_o angle_n l_o n_n b_o n_o b_o l_o be_v together_o equal_a to_o one_o straight_o or_o 90_o
degree_n and_o b_o n_o l_o be_v equal_a to_o the_o angle_n a_o s_o l_o or_o b_o a_o r._n therefore_o the_o arch_n of_o the_o angle_n n_o b_o l_o be_v equal_a to_o the_o arch_n b_o m_o by_o which_o p_o b_o be_v great_a than_o 90_o degree_n or_o than_o p_o m_o so_o also_o the_o arch_n p_o c._n if_o we_o take_v the_o semidiameter_n of_o the_o sun_n according_a unto_o ptolemy_n of_o 5_o 2_o semidiameter_n of_o the_o earth_n but_o the_o distance_n a_o s_o 1168_o semidiameter_n these_o i_o say_v be_v lay_v down_o the_o arch_n m_o b_o will_v be_v find_v 13_o minute_n in_o which_o the_o sun_n illustrate_v the_o earth_n more_o than_o half_a m_o p_o q._n corollary_n when_o therefore_o the_o centre_n of_o the_o sun_n rise_v to_o some_o place_n than_o his_o limbus_n or_o edge_n rise_v to_o the_o people_n which_o inhabit_v in_o the_o parallel_n of_o the_o horizon_n situate_v 13_o minute_n beneath_o the_o horizon_n also_o after_o the_o same_o mode_n to_o those_o to_o who_o he_o set_v and_o when_o his_o centre_n set_v than_o his_o limbus_n yet_o remain_v conspicuous_a until_o the_o centre_n set_v to_o the_o people_n which_o be_v remote_a 13_o minute_n from_o our_o horizon_n proposition_n xiii_o the_o height_n of_o a_o mountain_n be_v give_v to_o find_v how_o much_o soon_o the_o sun_n seem_v to_o rise_v in_o the_o vertex_fw-la of_o the_o same_o than_o at_o the_o foot_n or_o root_n of_o the_o mountain_n and_o how_o much_o late_a it_o set_v from_o the_o give_a altitude_n 5._o see_v chap._n 9_o proposit_n 5._o by_o the_o five_o proposition_n in_o the_o nine_o chapter_n let_v the_o interval_n or_o arch_n from_o which_o the_o vertex_fw-la of_o the_o mountain_n may_v be_v discover_v or_o in_o the_o bind_v of_o which_o a_o line_n so_o draw_v from_o the_o vertex_fw-la of_o the_o mountain_n that_o it_o may_v be_v the_o tangent_fw-la of_o the_o earth_n refract_v the_o same_o for_o this_o line_n show_v the_o first_o ray_n which_o may_v come_v from_o a_o direct_a passage_n from_o the_o sun_n to_o the_o vertex_fw-la of_o the_o mountain_n moreover_o the_o point_n of_o the_o earth_n in_o which_o this_o be_v touch_v by_o the_o line_n be_v the_o place_n to_o which_o the_o sun_n arise_v when_o he_o begin_v to_o be_v see_v on_o the_o vertex_fw-la of_o the_o mountain_n and_o the_o arch_n interrupt_v between_o that_o point_n and_o the_o foot_n of_o the_o mountain_n be_v equal_a to_o that_o in_o which_o the_o sun_n be_v depress_v as_o yet_o beneath_o the_o horizon_n of_o the_o foot_n of_o the_o mountain_n when_o he_o be_v apparent_a in_o the_o vertex_fw-la therefore_o the_o problem_n be_v reduce_v hither_o the_o depression_n of_o the_o sun_n beneath_o the_o horizon_n be_v give_v to_o find_v the_o time_n which_o be_v spend_v whilst_o the_o sun_n move_v from_o the_o depression_n to_o the_o horizon_n whence_o also_o it_o will_v be_v manifest_a that_o this_o time_n be_v also_o diverse_a in_o the_o divers_a day_n of_o the_o year_n therefore_o let_v the_o place_n of_o the_o root_n of_o the_o mountain_n be_v note_v on_o the_o globe_n and_o let_v the_o pole_n be_v clevate_v for_o the_o latitude_n of_o the_o same_o let_v the_o quadrant_n be_v affix_v to_o the_o vertex_fw-la the_o place_n of_o the_o sun_n be_v find_v in_o the_o ecliptic_a from_o any_o day_n take_v let_v it_o be_v note_v also_o the_o point_n of_o the_o ecliptic_a opposite_a to_o the_o place_n of_o the_o sun_n then_o let_v this_o opposite_a point_n be_v bring_v to_o the_o occidental_a horizon_n and_o let_v the_o index_n be_v place_v at_o the_o hour_n 12._o this_o be_v do_v let_v the_o degree_n of_o depression_n before_o find_v be_v note_v in_o the_o quadrant_n and_o the_o opposite_a point_n be_v turn_v above_o the_o horizon_n until_o it_o have_v a_o altitude_n equal_a to_o the_o arch_n of_o the_o depression_n which_o will_v be_v discover_v from_o the_o application_n of_o the_o quadrant_n so_o the_o place_n of_o the_o sun_n beneath_o the_o oriental_a horizon_n will_v have_v that_o depression_n and_o the_o index_n in_o the_o horaty_a circle_n will_v show_v the_o time_n intercopt_v between_o that_o depression_n of_o he_o and_o his_o emersion_n above_o the_o horizon_n but_o because_o in_o this_o case_n we_o do_v almost_o work_v only_o by_o minute_n therefore_o it_o be_v better_a to_o calculate_v it_o than_o to_o search_v after_o it_o on_o the_o globe_n now_o you_o shall_v find_v it_o if_o that_o the_o altitude_n of_o the_o mountain_n be_v place_v 3_o stadias_fw-la or_o ¾_n of_o a_o german_a mile_n because_o the_o arch_n of_o the_o depression_n be_v about_o three_o degree_n night_n the_o mountain_n of_o caucasus_n and_o casius_n according_a to_o aristotle_n and_o pliny_n be_v illustrate_v with_o the_o sun_n ray_n to_o the_o three_o part_n of_o the_o night_n and_o if_o the_o latitude_n of_o the_o foot_n of_o the_o mountain_n be_v 38_o degree_n and_o the_o place_n of_o the_o sun_n about_o the_o middle_n of_o leo_n the_o time_n in_o which_o the_o sun_n be_v behold_v be_v soon_o in_o the_o vertex_fw-la than_o at_o the_o foot_n of_o the_o mountain_n by_o 13_o minute_n hence_o it_o be_v manifest_a that_o that_o be_v not_o so_o probable_a which_o aristotle_n relate_v of_o the_o high_a part_n of_o caucasus_n and_o pliny_n of_o the_o top_n of_o mount_n casius_n that_o they_o before_o the_o rise_n and_o after_o the_o set_n of_o the_o sun_n be_v illustrate_v with_o the_o sun_n beam_n even_o to_o the_o three_o part_n of_o the_o night_n now_o how_o great_a a_o altitude_n be_v require_v for_o this_o shall_v be_v show_v in_o the_o follow_a proposition_n proposition_n fourteen_o the_o time_n be_v give_v in_o which_o the_o sun_n be_v soon_o discern_v on_o the_o vertex_fw-la of_o the_o mountain_n than_o at_o the_o foot_n of_o the_o same_o to_o find_v the_o altitude_n of_o the_o mountain_n let_v the_o pole_n be_v elevate_v on_o the_o globe_n for_o the_o latitude_n of_o the_o root_n of_o the_o mountain_n and_o the_o point_n be_v note_v which_o be_v oppose_v to_o the_o place_n of_o the_o sun_n in_o the_o ecliptic_a let_v the_o arch_n of_o the_o depression_n of_o the_o sun_n beneath_o the_o horizon_n for_o the_o give_v time_n be_v find_v then_o from_o this_o arch_n as_o from_o a_o interval_n from_o whence_o the_o vertex_fw-la of_o the_o mountain_n be_v discover_v the_o altitude_n of_o the_o mountain_n must_v be_v search_v after_o by_o the_o four_o proposition_n of_o the_o nine_o chapter_n proposition_n xv._o the_o place_n of_o the_o moon_n be_v give_v in_o the_o zodiac_n together_o with_o its_o latitude_n to_o find_v out_o or_o show_v all_o those_o place_n on_o the_o globe_n to_o which_o the_o moon_n be_v vertical_a in_o the_o circumrotation_n of_o that_o day_n let_v the_o place_n of_o the_o moon_n take_v from_o the_o ephemerides_n be_v note_v in_o the_o ecliptic_a then_o let_v one_o end_n of_o the_o quadrant_n be_v apply_v to_o the_o pole_n of_o the_o ecliptic_a the_o other_o to_o the_o point_v note_v in_o the_o ecliptic_a or_o to_o the_o place_n of_o the_o moon_n and_o let_v the_o degree_n of_o the_o latitude_n of_o the_o moon_n be_v account_v on_o the_o quadrant_n and_o let_v a_o mark_n be_v make_v at_o the_o term_n of_o the_o numeration_n on_o the_o globe_n then_o this_o be_v bring_v to_o the_o meridian_n and_o a_o chalk_n apply_v let_v a_o parallel_n be_v describe_v which_o the_o moon_n that_o day_n do_v describe_v by_o her_o circumvolution_n and_o all_o the_o place_n situate_v in_o this_o parallel_n be_v those_o demand_v after_o the_o same_o mode_n we_o act_n with_o the_o other_o planer_n if_o their_o longitude_n and_o latitude_n be_v give_v proposition_n xvi_o the_o place_n of_o the_o moon_n be_v give_v in_o the_o zodiac_n and_o its_o latitude_n and_o the_o day_n of_o the_o year_n to_o find_v the_o hour_n in_o which_o she_o arise_v in_o any_o place_n give_v and_o in_o which_o she_o set_v also_o in_o which_o she_o make_v midnight_n let_v the_o pole_n be_v elevate_v for_o the_o latitude_n of_o the_o place_n of_o the_o earth_n give_v let_v the_o place_n of_o the_o sun_n find_v from_o the_o day_n of_o the_o year_n be_v note_v on_o the_o ecliptic_a then_o let_v a_o point_n also_o be_v note_v on_o the_o globe_n for_o the_o place_n of_o the_o moon_n as_o we_o have_v show_v in_o the_o precede_a proposition_n 15._o see_v proposition_n 15._o this_o be_v do_v let_v the_o place_n of_o the_o sun_n be_v bring_v to_o the_o meridian_n the_o index_n to_o the_o 12_o hour_n of_o the_o circle_n and_o let_v the_o globe_n be_v turn_v round_o until_o the_o moon_n arise_v or_o be_v in_o the_o meridian_n or_o set_v for_o the_o index_n in_o the_o circle_n will_v show_v the_o hour_n of_o her_o rise_n or_o set_v or_o be_v in_o
the_o meridian_n or_o set_v after_o the_o same_o manner_n we_o must_v act_v with_o the_o other_o planet_n proposition_n xvii_o to_o show_v on_o the_o globe_n all_o those_o place_n in_o which_o the_o moon_n arise_v at_o the_o give_v hour_n and_o in_o which_o she_o be_v in_o the_o meridian_n and_o to_o which_o she_o set_v if_o that_o the_o longitude_n and_o latitude_n of_o the_o moon_n be_v know_v hour_n by_o the_o globe_n be_v show_v all_o the_o place_n in_o which_o the_o moon_n arise_v and_o set_v at_o any_o hour_n let_v the_o place_n of_o the_o sun_n as_o also_o of_o the_o moon_n be_v note_v on_o the_o ecliptic_a as_o aforesaid_a and_o the_o place_n of_o the_o sun_n be_v bring_v to_o the_o meridian_n and_o the_o index_n to_o the_o 12_o hour_n of_o the_o circle_n let_v the_o globe_n be_v turn_v until_o the_o place_n of_o the_o moon_n come_v to_o the_o meridian_n and_o let_v the_o hour_n be_v observe_v on_o the_o circle_n which_o be_v note_v or_o let_v a_o mark_n be_v make_v on_o the_o circle_n for_o they_o show_v how_o much_o late_a the_o moon_n come_v to_o the_o meridian_n than_o the_o sun_n moreover_o the_o place_n of_o the_o moon_n be_v constitute_v in_o the_o meridian_n let_v the_o eminent_a point_n be_v note_v in_o this_o or_o let_v the_o parallel_n of_o the_o moon_n be_v describe_v this_o do_v let_v the_o place_n of_o the_o sun_n be_v bring_v to_o the_o meridian_n and_o the_o index_n to_o the_o 12_o hour_n let_v the_o globe_n be_v turn_v until_o the_o hour_n be_v find_v in_o which_o the_o moon_n touch_v the_o meridian_n of_o the_o place_n let_v the_o point_n also_o of_o the_o meridian_n be_v note_v which_o hang_v over_o the_o place_n of_o the_o moon_n moreover_o let_v the_o place_n who_o hour_n be_v give_v be_v bring_v to_o the_o meridian_n the_o index_n to_o the_o hour_n give_v let_v the_o globe_n be_v turn_v until_o the_o index_n show_v the_o 12_o hour_n of_o noon_n or_o midnight_n so_o the_o place_n be_v those_o subject_n to_o the_o semicircle_n of_o the_o meridian_n in_o which_o the_o sun_n make_v the_o meridies_n at_o the_o hour_n give_v let_v the_o index_n be_v reduce_v to_o 12_o and_o let_v the_o globe_n be_v turn_v again_o until_o the_o index_n come_v to_o the_o hour_n note_v before_o in_o the_o circle_n in_o this_o situation_n of_o the_o globe_n the_o place_n which_o be_v subject_a to_o the_o note_a point_n of_o the_o meridian_n be_v that_o to_o which_o the_o sun_n be_v then_o vertical_a therefore_o let_v this_o place_n be_v constitute_v in_o the_o globe_n in_o the_o vertex_fw-la of_o the_o horizon_n all_o the_o place_n be_v those_o subject_n to_o the_o superior_a semicircle_n of_o the_o meridian_n to_o which_o the_o moon_n be_v then_o in_o the_o meridian_n but_o those_o place_n which_o be_v discern_v in_o the_o oriental_a semicircle_n of_o the_o horizon_n be_v those_o to_o which_o the_o moon_n than_o set_v last_o in_o those_o place_n which_o be_v discern_v in_o the_o occidental_a semicircle_n of_o the_o horizon_n the_o moon_n rise_v at_o the_o give_v moment_n of_o time_n after_o the_o same_o mode_n we_o act_n with_o saturn_n jupiter_n and_o the_o rest_n of_o the_o planet_n if_o that_o their_o longitude_n and_o latitude_n be_v know_v proposition_n xviii_o the_o day_n or_o hour_n be_v give_v in_o which_o the_o ecliptic_a of_o the_o moon_n shall_v be_v or_o have_v be_v to_o exhibit_v on_o the_o globe_n all_o those_o place_n which_o have_v see_v it_o and_o in_o that_o species_n to_o who_o the_o moon_n shall_v in_o the_o meridian_n to_o who_o it_o shall_v arise_v and_o to_o who_o it_o shall_v set_v eclipse_v this_o problem_n little_o differ_v from_o the_o precedent_n but_o yet_o it_o have_v a_o more_o easy_a solution_n from_o the_o day_n give_v let_v the_o place_n of_o the_o sun_n be_v find_v except_o it_o be_v already_o know_v and_o let_v the_o point_n opposite_a to_o it_o be_v note_v on_o the_o ecliptic_a of_o the_o globe_n for_o this_o be_v the_o place_n of_o the_o moon_n 28._o see_v proposition_n 6._o chapter_n 28._o let_v the_o place_n be_v find_v in_o the_o globe_n to_o which_o the_o sun_n be_v vertical_a at_o the_o hour_n and_o let_v the_o antipode_n of_o this_o place_n be_v find_v according_a to_o the_o vi_o proposition_n of_o the_o xxviii_o chapter_n for_o this_o shall_v be_v the_o place_n unto_o which_o the_o moon_n be_v eclipse_v shall_v be_v vertical_a let_v this_o place_n be_v constitute_v in_o the_o vertex_fw-la of_o the_o horizon_n the_o pole_n be_v elevate_v or_o depress_v for_o the_o latitude_n of_o the_o place_n so_o all_o the_o place_n of_o the_o globe_n which_o be_v above_o the_o horizon_n may_v have_v see_v that_o eclipse_n and_o those_o which_o lie_v under_o the_o brazen_a meridian_n shall_v see_v it_o in_o the_o meridian_n those_o which_o lie_v under_o the_o oriental_a semicircle_n shall_v see_v it_o in_o the_o west_n or_o set_v with_o the_o eclipse_n but_o those_o which_o lie_v in_o the_o occidental_a semicircle_n of_o the_o horizon_n shall_v see_v it_o in_o the_o east_n or_o noon_n to_o arise_v eclipse_v but_o see_v that_o a_o eclipse_n be_v not_o perform_v in_o one_o moment_n of_o a_o hour_n but_o dure_v for_o some_o hour_n therefore_o it_o be_v wont_a to_o be_v divide_v into_o the_o beginning_n middle_a and_o end_v and_o the_o moment_n of_o the_o hour_n be_v wont_a to_o be_v note_v therefore_o the_o consideration_n must_v be_v more_o especial_o concern_v the_o middle_a time_n of_o the_o eclipse_n moreover_o see_v that_o the_o moon_n be_v less_o than_o the_o earth_n it_o will_v illustrate_v a_o lesser_a part_n than_o the_o hemisphere_n be_v also_o it_o will_v be_v see_v by_o the_o inhabitant_n of_o a_o lesser_a part_n so_o that_o it_o will_v not_o be_v any_o more_o conspicuous_a to_o those_o which_o lie_v in_o the_o oriental_a semicircle_n of_o the_o horizon_n but_o to_o those_o in_o the_o occidental_a semicircle_n it_o have_v not_o yet_o appear_v but_o a_o certain_a circle_n parallel_n to_o the_o horizon_n be_v to_o be_v see_v which_o terminate_v the_o part_n illustrate_v now_o how_o much_o this_o part_n be_v distant_a from_o the_o hemisphere_n or_o how_o great_a a_o portion_n it_o be_v of_o the_o superficies_n of_o the_o earth_n shall_v be_v the_o enquiry_n of_o the_o follow_a proposition_n proposition_n xix_o the_o semidiameter_n of_o the_o moon_n and_o earth_n be_v give_v scheme_n see_v scheme_n and_o the_o distance_n of_o they_o to_o find_v out_o how_o long_o a_o portion_n of_o the_o earth_n be_v illustrate_v by_o the_o moon_n at_o the_o full._n 11._o see_v proposition_n 11._o this_o problem_n must_v be_v solve_v by_o the_o same_o mode_n that_o we_o have_v use_v in_o the_o eleven_o proposition_n for_o let_v the_o centre_n of_o the_o earth_n be_v s_o the_o great_a circle_n represent_v the_o superficies_n o_o f_o l_o h._n the_o centre_n of_o the_o moon_n a_o the_o great_a circle_n c_o p_o b_o q._n let_v the_o tangent_n l_o b_o o_o c_o be_v draw_v for_o these_o be_v the_o ultimate_a ray_n that_o can_v come_v from_o the_o moon_n to_o the_o earth_n and_o therefore_o the_o arch_n o_o h_n l_o will_v denote_v the_o part_n of_o the_o superficies_n of_o the_o earth_n which_o be_v illustrate_v by_o the_o moon_n and_o who_o inhabitant_n may_v see_v the_o moon_n together_o which_o by_o how_o much_o lesser_a it_o be_v than_o the_o hemisphere_n we_o shall_v know_v if_o we_o find_v the_o angle_n h_o s_o l_o or_o the_o arch_n h_o l._n let_v b_o n_n be_v draw_v from_o b_o parallel_n to_o a_o s_n b_o he_o shall_v be_v equal_a to_o s_o n_n and_o n_n l_o the_o excess_n of_o the_o semidiameter_n of_o the_o earth_n s_o l_o above_o the_o semidiameter_n of_o the_o moon_n a_o b_o and_o b_o n_n be_v of_o a_o equal_a distance_n with_o a_o s_o but_o the_o the_o angle_n n_o l_o b_o be_v direct_a or_o of_o 90_o degree_n therefore_o in_o the_o triangle_n straight_a angle_n n_o b_o l_o we_o shall_v find_v the_o angle_n n_o b_o l_o by_o this_o proportion_n as_o n_z b_o be_v to_z n_o l_o so_fw-mi be_v the_o whole_a sign_n to_o the_o sign_n of_o the_o angle_n l_o b_o n_o who_o arch_n be_v that_o in_o which_o h_n l_o differ_v from_o the_o arch_n 90_o or_o from_o the_o quadrant_n of_o the_o periphery_a of_o the_o earth_n and_o so_o great_a a_o interval_n be_v the_o periphery_a of_o the_o earth_n distant_a from_o the_o great_a circle_n terminanate_v the_o part_n of_o the_o earth_n illuminate_v by_o the_o moon_n let_v we_o suppose_v the_o semidiameter_n of_o the_o moon_n to_o contain_v four_o part_n of_o such_o like_a the_o semidiamiter_n of_o the_o earth_n contain_v 15_o or_o 4_o 15_o of_o the_o semidiamiter_n of_o the_o earth_n now_o the_o great_a distance_n of_o
the_o moon_n from_o the_o earth_n in_o her_o full_a be_v 64_o semidiamiter_n of_o the_o earth_n therefore_o n_n l_o shall_v be_v 11_o 15_o and_o the_o proportion_n shall_v be_v make_v thus_o as_o 64_o be_v to_o a_o 11_o 15_o so_o be_v 10000000_o to_o 114583_o which_o be_v the_o sign_n 39_o minute_n therefore_o the_o arch_n h_o l_o be_v less_o than_o 90_o deg._n 39_o minute_n and_o therefore_o 89_o deg._n 21._o minute_n therefore_o in_o the_o place_n to_o which_o the_o moon_n be_v vertical_a constitute_v in_o the_o vertex_fw-la of_o the_o horizon_n the_o people_n to_o who_o the_o moon_n than_o rise_v and_o set_v shall_v not_o be_v those_o which_o be_v behold_v in_o the_o very_a horizon_n but_o those_o in_o the_o parallel_n of_o the_o horizon_n distant_a from_o it_o 39_o minute_n proposition_n xx._n the_o declination_n of_o any_o star_n be_v give_v to_o exhibit_v all_o the_o place_n on_o the_o terrestrial_a globe_n unto_o which_o that_o star_n be_v vertical_a in_o his_o diurnal_a circumvolution_n star_n of_o the_o declination_n of_o star_n let_v the_o degree_n of_o the_o give_v declination_n of_o the_o aequator_fw-la be_v number_v on_o the_o brazen_a meridian_n and_o in_o the_o term_n of_o the_o numeration_n make_v a_o sign_n with_o a_o chalk_n or_o let_v a_o parallel_n be_v note_v on_o the_o globe_n by_o a_o chalk_n apply_v and_o the_o globe_n turn_v round_o all_o the_o place_n situate_v in_o this_o parallel_n be_v those_o which_o pass_v through_o the_o note_a point_n of_o the_o meridian_n the_o vertex_fw-la of_o which_o that_o star_n in_o every_o diurnal_a circumvolution_n shall_v possess_v for_o some_o moment_n of_o time_n proposition_n xxi_o the_o direct_a ascension_n of_o any_o star_n be_v give_v and_o the_o hour_n of_o the_o give_v day_n be_v give_v to_o show_v all_o those_o place_n on_o the_o terrestrial_a globe_n on_o who_o meridian_n the_o star_n be_v at_o the_o give_v hour_n star_n concern_v the_o ascension_n of_o any_o star_n let_v the_o degree_n give_v of_o the_o right_a ascension_n of_o the_o star_n be_v number_v in_o the_o aequator_fw-la and_o let_v a_o mark_n be_v make_v with_o chalk_n let_v also_o the_o place_n of_o the_o sun_n find_v from_o the_o give_v day_n be_v bring_v to_o the_o meridian_n and_o let_v the_o degree_n of_o the_o aequator_fw-la in_o the_o meridian_n be_v note_v let_v the_o arch_n of_o the_o aequator_fw-la intercept_v between_o these_o two_o note_a point_n be_v observe_v or_o which_o be_v the_o same_o let_v it_o be_v change_v into_o hour_n or_o scruple_n of_o hour_n for_o they_o show_v the_o time_n which_o intercede_v between_o the_o appulse_n of_o the_o sun_n and_o that_o star_n at_o any_o meridian_n this_o do_v let_v the_o place_n be_v find_v in_o who_o meridian_n the_o sun_n be_v at_o the_o give_v hour_n or_o scruple_n of_o a_o hour_n and_o the_o index_n be_v place_v at_o 12_o let_v the_o globe_n be_v turn_v until_o the_o index_n show_v the_o hour_n before_o note_v or_o until_o the_o note_a degree_n of_o the_o aequator_fw-la have_v pass_v the_o meridian_n in_o this_o situation_n of_o the_o globe_n all_o those_o place_n which_o be_v discover_v subject_a to_o the_o meridian_n be_v those_o seek_v for_o to_o wit_n those_o in_o who_o meridian_n the_o star_n be_v at_o the_o give_v time_n proposition_n xxii_o the_o right_a declination_n and_o ascension_n of_o a_o star_n be_v give_v and_o any_o time_n of_o the_o day_n be_v give_v to_o exhibit_v on_o the_o globe_n first_o that_o place_n to_o which_o the_o star_n be_v then_o vertical_a second_o all_o those_o place_n above_o who_o orison_n the_o star_n then_o shall_v be_v and_o those_o beneath_o who_o orison_n the_o same_o shall_v then_o be_v also_o those_o in_o who_o meridian_n it_o shall_v be_v at_o the_o meridies_n and_o in_o who_o meridian_n it_o shall_v be_v at_o midnight_n also_o in_o all_o those_o place_n in_o which_o the_o star_n shall_v then_o arise_v and_o all_o those_o in_o which_o it_o shall_v then_o set_v from_o the_o direct_a ascension_n let_v the_o place_n be_v find_v in_o who_o meridian_n the_o star_n be_v at_o the_o time_n give_v and_o those_o may_v remain_v subject_a to_o the_o brazen_a meridian_n then_o let_v the_o degree_n of_o the_o give_v declination_n from_o the_o aequator_fw-la towards_o the_o pole_n be_v number_v and_o the_o point_n of_o the_o globe_n which_o be_v subject_a to_o the_o term_n of_o the_o numeration_n be_v note_v for_o this_o be_v the_o place_n unto_o which_o the_o star_n shall_v be_v vertical_a at_o the_o time_n let_v it_o be_v place_v in_o the_o vertex_fw-la of_o the_o horizon_n the_o pole_n be_v elevate_v for_o latitude_n so_o those_o place_n which_o be_v subject_a to_o the_o superior_a semicircle_n of_o the_o meridian_n shall_v have_v that_o star_n at_o the_o give_v time_n in_o the_o meridian_n of_o the_o meridies_n but_o those_o place_n which_o be_v behold_v in_o the_o inseriour_a semicircle_n of_o the_o meridian_n shall_v have_v it_o in_o the_o meridian_n of_o midnight_n and_o those_o place_n which_o be_v behold_v in_o the_o oriental_a semicircle_n of_o the_o horizon_n be_v those_o to_o which_o the_o star_n set_v at_o once_o at_o that_o time_n but_o to_o those_o which_o lie_v in_o the_o occidental_a semicircle_n of_o the_o horizon_n the_o star_n than_o arise_v together_o proposition_n xxiii_o to_o exhibit_v on_o the_o terrestrial_a globe_n all_o those_o place_n in_o which_o the_o sun_n moon_n and_o all_o the_o star_n for_o so_o long_a time_n be_v obscure_v beneath_o the_o horizon_n as_o they_o remain_v to_o we_o or_o any_o other_o give_v place_n above_o the_o horizon_n let_v our_o place_n or_o any_o other_o give_v place_n be_v bring_v to_o the_o meridian_n and_o let_v the_o parallel_n of_o the_o antaeci_n be_v find_v all_o the_o place_n situate_v in_o this_o parallel_n be_v these_o seek_v for_o as_o may_v be_v show_v on_o the_o globe_n if_o that_o the_o pole_n be_v elevate_v for_o the_o latitude_n of_o the_o place_n give_v and_o depress_v for_o the_o latitude_n of_o the_o parallel_n find_v proposition_n xxiv_o to_o show_v the_o cause_n why_o the_o day_n soon_o augment_v and_o decrease_v about_o the_o aequinox_n and_o more_o slow_o about_o the_o solstice_n where_o for_o many_o day_n there_o seem_v to_o be_v no_o increase_n or_o decrease_v and_o that_o except_o the_o aequator_fw-la in_o all_o the_o place_n of_o the_o earth_n and_o so_o much_o the_o more_o by_o how_o much_o they_o be_v more_o remove_v from_o the_o aequator_fw-la solstice_n concern_v the_o augment_v and_o decrease_v of_o the_o day_n about_o the_o aequinox_n and_o solstice_n for_o example_n let_v we_o take_v 30_o day_n before_o the_o vernal_a aequinox_n from_o the_o 20_o of_o february_n to_o the_o 21_o of_o march_n and_o 30_o day_n after_o the_o solstice_n of_o winter_n or_o the_o solstice_n of_o capricorn_n from_o the_o 21_o of_o december_n to_o the_o 21_o of_o january_n here_o the_o cause_n must_v be_v show_v why_o the_o excess_n of_o the_o 21_o of_o march_n or_o stay_v of_o the_o sun_n above_o the_o horizon_n above_o the_o longitude_n of_o the_o 20_o of_o february_n be_v much_o great_a than_o the_o excess_n of_o the_o 21_o of_o january_n be_v above_o the_o 21_o of_o december_n let_v the_o place_n of_o the_o sun_n for_o every_o one_o of_o those_o 4_o day_n be_v note_v on_o the_o ecliptic_a of_o the_o globe_n to_o wit_n the_o first_o degree_n of_o pisces_fw-la of_o aries_n capricorn_n and_o aquarius_n and_o let_v the_o parallel_n of_o the_o sun_n be_v describe_v whereof_o two_o be_v extant_a in_o the_o globe_n viz._n the_o aequator_fw-la and_o the_o tropic_a of_o capricorn_n therefore_o it_o will_v be_v apparent_a that_o the_o aequator_fw-la or_o parallel_v of_o the_o sun_n in_o the_o 1_o of_o aries_n be_v absent_a a_o far_o long_a interval_n from_o the_o parallel_n of_o the_o sun_n in_o the_o 1_o of_o pisces_fw-la than_o the_o parallel_n of_o the_o sun_n in_o the_o 1_o of_o aquarius_n from_o the_o parallel_n in_o the_o 1_o of_o capricorn_n thence_o it_o come_v to_o pass_v that_o not_o much_o a_o big_a portion_n of_o the_o parallel_n of_o the_o 1_o of_o aquarius_n be_v above_o the_o horizon_n than_o of_o the_o parallel_n of_o the_o 1_o of_o capricorn_n or_o of_o the_o tropic_a of_o capricorn_n itself_o now_o these_o part_n show_v the_o stay_n of_o the_o sun_n above_o the_o horizon_n in_o those_o day_n but_o the_o portion_n of_o the_o aequator_fw-la or_o parallel_v of_o the_o 1_o of_o aries_n that_o be_v above_o the_o horizon_n be_v much_o big_a than_o the_o portion_n of_o the_o parallel_n of_o the_o 1_o of_o pisces_fw-la now_o because_o these_o arch_n be_v above_o the_o horizon_n denote_v the_o stay_n of_o the_o sun_n above_o the_o horizon_n for_o this_o be_v the_o longitude_n of_o the_o day_n hence_o we_o
collect_v the_o increase_n or_o decrease_v of_o the_o declination_n of_o the_o sun_n from_o the_o aequator_fw-la or_o of_o the_o point_n of_o the_o ecliptic_a to_o be_v the_o cause_n of_o this_o unequal_a increase_n of_o the_o day_n but_o in_o the_o place_n of_o the_o aequator_fw-la itself_o all_o day_n be_v equal_a and_o therefore_o here_o be_v no_o increase_n or_o decrease_v although_o the_o sun_n seem_v to_o stand_v about_o the_o day_n of_o the_o solstice_n that_o be_v a_o little_a change_v the_o meridian_n altitude_n now_o it_o be_v manifest_a that_o the_o great_a inequality_n of_o this_o increase_n and_o decrease_v of_o the_o day_n be_v to_o be_v find_v where_o the_o place_n be_v more_o remote_a from_o the_o aequator_fw-la if_o that_o the_o pole_n be_v elevate_v for_o the_o distance_n of_o the_o divers_a place_n from_o the_o aequator_fw-la and_o the_o arch_n of_o the_o parallel_n elevate_v above_o the_o horizon_n be_v consider_v in_o both_o situation_n proposition_n xxv_o in_o the_o place_n of_o the_o torrid_a zone_n or_o those_o situate_v in_o the_o aequator_fw-la or_o in_o the_o midst_n of_o the_o torrid_a zone_n the_o sun_n much_o soon_o depart_v from_o the_o vertex_fw-la than_o in_o place_n near_o the_o tropic_a of_o cancer_n or_o capricorn_n zone_n of_o the_o departure_n of_o the_o sun_n in_o place_n of_o the_o torrid_a zone_n let_v any_o degree_n in_o the_o brazen_a meridian_n of_o the_o globe_n be_v note_v for_o example_n the_o five_o degree_n from_o the_o aequator_fw-la and_o another_o place_n in_o the_o torrid_a zone_n be_v take_v for_o example_n one_o who_o latitude_n be_v 18_o degree_n let_v this_o be_v bring_v to_o the_o meridian_n make_v a_o sign_n with_o a_o chalk_n in_o this_o and_o let_v 5_o degree_n from_o this_o towards_o the_o tropic_a be_v reckon_v on_o the_o brazen_a meridian_n and_o here_o again_o make_v a_o sign_n with_o a_o chalk_n we_o must_v show_v that_o the_o sun_n in_o few_o day_n be_v remove_v from_o the_o vertex_fw-la of_o the_o place_n of_o the_o aequator_fw-la 5_o degree_n in_o the_o meridies_n than_o from_o the_o vertex_fw-la of_o another_o place_n so_o many_o degree_n let_v the_o globe_n be_v turn_v until_o some_o point_n of_o the_o ecliptic_a come_v under_o some_o note_a point_n of_o the_o meridian_n near_o to_o the_o aequator_fw-la and_o let_v the_o degree_n of_o the_o ecliptic_a between_o the_o first_o of_o aries_n and_o libra_n and_o between_o that_o point_n and_o the_o arch_n here_o to_o be_v note_v then_o let_v the_o globe_n be_v turn_v again_o until_o some_o point_n of_o the_o ecliptic_a pass_n through_o the_o note_v make_v in_o the_o meridian_n for_o the_o place_n and_o let_v this_o point_n of_o the_o ecliptic_a be_v note_v then_o let_v the_o globe_n be_v turn_v again_o until_o another_o point_n of_o the_o ecliptic_a pass_n through_o by_o that_o point_n remove_v five_o degree_n which_o be_v note_v which_o must_v again_o be_v note_v and_o let_v the_o arch_n between_o the_o two_o last_o point_n of_o the_o ecliptic_a be_v reckon_v which_o will_v be_v find_v to_o be_v much_o big_a than_o that_o which_o be_v first_o note_v and_o thence_o the_o sun_n shall_v stay_v in_o this_o arch_n more_o day_n than_o in_o the_o former_a and_o therefore_o he_o more_o slow_o recede_v from_o the_o vertex_fw-la of_o the_o second_o place_n than_o from_o the_o vertex_fw-la of_o the_o place_n take_v in_o the_o aequator_fw-la the_o three_o book_n of_o general_n geography_n to_o wit_n the_o comparative_a part_n of_o the_o affection_n from_o compare_v of_o place_n chap._n xxxi_o of_o the_o longitude_n of_o a_o place_n definition_n 1._o â—he_v circle_n of_o the_o longitude_n of_o any_o place_n in_o the_o earth_n definition_n definition_n be_v a_o circle_n pass_v through_o that_o place_n and_o both_o the_o pole_n of_o the_o earth_n it_o be_v also_o term_v the_o meridian_n circle_n because_o the_o meridian_n of_o a_o place_n and_o the_o circle_n of_o the_o longitude_n of_o a_o place_n be_v one_o and_o the_o same_o circle_n but_o they_o be_v only_o rational_o distinguish_v because_o the_o meridian_n have_v respect_n to_o the_o motion_n of_o the_o star_n the_o circle_n of_o the_o longitude_n to_o the_o extension_n of_o the_o earth_n have_v no_o respect_n to_o the_o celestial_a motion_n but_o the_o use_n of_o the_o term_n meridian_n be_v more_o frequent_a and_o convenient_a and_o therefore_o we_o shall_v also_o use_v the_o word_n they_o be_v conspicuous_a in_o globe_n and_o map_n pass_v through_o every_o ten_o degree_n of_o the_o aequator_fw-la 2._o the_o distance_n of_o a_o place_n from_o a_o certain_a meridian_n be_v term_v the_o longitude_n of_o a_o place_n or_o else_o it_o be_v the_o arch_n of_o the_o aequator_fw-la or_o parallel_v intercept_v between_o the_o meridian_n of_o that_o place_n and_o a_o certain_a other_o meridian_n this_o meridian_n from_o which_o the_o meridian_n of_o other_o place_n be_v reckon_v from_o west_n towards_o the_o east_n be_v call_v the_o first_o 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the_o extension_n or_o figure_n and_o the_o other_o the_o latitude_n and_o the_o one_o be_v conceive_v perpendicular_a to_o the_o other_o neither_o do_v these_o extension_n differ_v in_o their_o nature_n but_o that_o which_o we_o take_v for_o longitude_n may_v also_o be_v take_v for_o latitude_n and_o so_o on_o the_o contrary_a but_o yet_o for_o the_o most_o part_n if_o these_o two_o extension_n be_v unequal_a we_o take_v the_o long_a for_o longitude_n and_o the_o short_a for_o latitude_n but_o in_o ordinate_a figure_n as_o in_o the_o aequilateral_a triangle_n a_o quadrate_n and_o the_o like_a the_o two_o extension_n be_v equal_a neither_o be_v there_o any_o difference_n between_o longitude_n and_o latitude_n for_o the_o figure_n of_o the_o superficies_n of_o the_o earth_n be_v spherical_a and_o latitude_n do_v not_o true_o differ_v from_o longitude_n which_o we_o so_o conceive_v in_o it_o for_o the_o more_o distinct_a cognition_n now_o those_o two_o extension_n in_o the_o spherical_a superficies_n be_v commodious_o so_o conceive_v as_o in_o other_o crooked_a superficies_n if_o that_o first_o the_o periphery_a of_o the_o semicricle_n be_v take_v in_o it_o draw_v from_o one_o point_n to_o the_o opposite_a point_n and_o this_o line_n be_v make_v one_o extension_n of_o the_o superficies_n then_o for_o the_o other_o extension_n you_o shall_v take_v another_o periphery_n cut_v the_o former_a periphery_n in_o the_o middle_n at_o right_a angle_n for_o so_o longitude_n and_o latitude_n be_v take_v in_o all_o figure_n and_o this_o must_v be_v conceive_v to_o extend_v about_o the_o whole_a superficies_n until_o it_o return_v to_o itself_o that_o so_o a_o crooked_a superficies_n may_v be_v suppose_v to_o be_v extend_v into_o a_o plane_n because_o therefore_o the_o first_o assume_v periphery_n or_o extension_n be_v only_o the_o semicircle_n that_o shall_v be_v the_o latitude_n of_o the_o globe_n the_o
have_v observe_v the_o beginning_n also_o in_o his_o map_n but_o see_v that_o there_o be_v other_o place_n in_o the_o earth_n where_o the_o magnetic_a needle_n do_v the_o same_o neither_o do_v it_o do_v it_o in_o all_o the_o meridian_n of_o this_o place_n therefore_o other_o geographer_n have_v not_o think_v that_o cause_n sufficient_a and_o some_o have_v place_v the_o first_o meridian_n in_o the_o brazilian_n shore_n the_o more_o modern_a especial_o the_o hollander_n have_v go_v back_o to_o the_o fortunate_a or_o canary_n isle_n have_v choose_v in_o one_o of_o they_o call_v teneriffe_n teneriffe_n the_o longitude_n by_o the_o hollander_n begin_v at_o teneriffe_n a_o mountain_n which_o be_v think_v to_o be_v the_o high_a in_o the_o whole_a world_n call_v el_n pico_fw-la de_fw-fr teneriffe_n and_o from_o the_o meridian_n of_o this_o mountain_n they_o judge_v the_o numeration_n of_o the_o longitude_n of_o place_n ought_v to_o be_v begin_v because_o they_o think_v fit_a that_o a_o famous_a and_o durable_a place_n for_o all_o age_n may_v be_v best_a choose_v for_o this_o purpose_n concern_v which_o in_o age_n to_o come_v posterity_n shall_v not_o easy_o doubt_v and_o moreover_o that_o that_o assignation_n of_o ptolemy_n which_o have_v be_v observe_v for_o so_o many_o age_n shall_v not_o be_v desert_v on_o a_o trivial_a account_n canary_n the_o longitude_n by_o the_o french_a begin_v at_o the_o isle_n of_o fer_n in_o the_o canary_n the_o french_a at_o this_o day_n from_o the_o year_n 1634_o observe_v that_o for_o the_o first_o meridian_n which_o pass_v through_o the_o occidental_a part_n of_o the_o isle_n of_o fer_n one_o of_o the_o canary_n isles_n which_o beginning_n lewis_n the_o xiii_o king_n of_o france_n command_v his_o mariner_n and_o geographer_n to_o observe_v astronomer_n also_o take_v divers_a place_n for_o the_o first_o meridian_n for_o those_o who_o follow_v tycho_n be_v wont_a to_o place_v it_o at_o vranoburge_n situate_a in_o a_o island_n in_o the_o danish_a sea_n and_o at_o this_o place_n to_o compute_v their_o celestial_a motion_n and_o thence_o to_o other_o place_n other_o make_v other_o beginning_n as_o they_o follow_v this_o or_o that_o author_n of_o the_o ephemerides_n astronomer_n the_o longitude_n likewise_o begin_v in_o sundry_a place_n by_o astronomer_n for_o the_o writer_n of_o ephemerides_n as_o also_o the_o computer_n of_o the_o planetary_a table_n be_v wont_a to_o calculate_v the_o motion_n and_o appearance_n of_o the_o planet_n to_o the_o meridian_n of_o their_o own_o country_n as_o origanus_n to_o frankford_n maginus_fw-la to_o venice_n because_o that_o milan_n be_v a_o academy_n of_o the_o venetian_n ecstadius_n to_o stetin_n lansbergius_n to_o goesa_n in_o zealand_n reinholdus_n to_o regium_n a_o mountain_n of_o borusia_n but_o to_o speak_v free_o what_o i_o think_v all_o this_o dissent_n of_o author_n proceed_v from_o no_o sufficient_a cause_n so_o that_o those_o who_o first_o remove_v the_o ptolomaick-beginning_n out_o of_o its_o place_n be_v blame_v worthy_a but_o it_o be_v all_o one_o whatsoever_o beginning_n of_o this_o account_n be_v take_v in_o the_o earth_n whether_o the_o place_n be_v note_v or_o the_o ultimate_a to_o the_o occident_n or_o orient_a so_o that_o the_o situation_n and_o distance_n of_o the_o other_o place_n be_v accurate_o know_v at_o it_o yet_o this_o variety_n of_o the_o begin_n of_o the_o meridian_n express_v the_o read_n of_o geographical_a writer_n with_o many_o confusion_n and_o difficulty_n yet_o because_o the_o knowledge_n of_o the_o declination_n of_o the_o loadstone_n be_v of_o great_a utility_n and_o that_o that_o declination_n increase_v even_o to_o a_o certain_a meridian_n and_o then_o again_o decrease_v i_o think_v it_o not_o altogether_o inconvenient_a for_o the_o observation_n of_o the_o declination_n of_o the_o load_n stone_n and_o the_o more_o easy_a comparison_n of_o the_o increase_n or_o decrease_v of_o it_o if_o that_o that_o be_v take_v for_o the_o first_o meridian_n in_o which_o the_o magnetic_a needle_n make_v little_a or_o no_o declination_n so_o that_o such_o a_o meridian_n may_v be_v give_v viz._n in_o all_o the_o place_n of_o which_o or_o the_o most_o at_o least_o the_o magnetic_a needle_n will_v do_v it_o but_o see_v that_o the_o hollander_n at_o this_o time_n take_v the_o mountain_n of_o teneriffe_n for_o the_o begin_n of_o their_o longitude_n and_o that_o they_o sail_v at_o this_o day_n into_o all_o part_n of_o the_o world_n therefore_o it_o be_v convenient_a to_o acknowledge_v the_o same_o begin_n with_o they_o for_o the_o better_a understanding_n of_o the_o diaries_n that_o they_o be_v wont_v to_o publish_v now_o you_o must_v know_v that_o the_o read_n of_o author_n where_o mention_n be_v make_v of_o the_o longitude_n of_o a_o place_n or_o of_o a_o certain_a number_v meridian_n that_o then_o you_o ought_v to_o consider_v what_o beginning_n of_o longitude_n that_o author_n determine_v or_o through_o what_o place_n he_o bring_v his_o first_o meridian_n as_o you_o be_v to_o observe_v that_o the_o map_n which_o be_v use_v in_o the_o second_o part_n of_o this_o book_n be_v the_o geographical_a description_n of_o the_o part_n and_o place_n of_o the_o four_o part_n of_o the_o world_n the_o longitude_n i_o say_v of_o those_o place_n be_v take_v according_a to_o the_o french_a account_n begin_v at_o the_o isle_n of_o of_o fer_n be_v one_o of_o the_o canary_n isle_n they_o be_v compose_v by_o monsieur_n sanson_n geographer_n to_o the_o king_n of_o france_n and_o who_o method_n be_v not_o convenient_a to_o be_v allow_v for_o to_o that_o the_o longitude_n of_o other_o place_n must_v be_v bring_v and_o inquire_v of_o proposition_n iii_o the_o latitude_n and_o longitude_n of_o any_o place_n or_o the_o distance_n of_o any_o place_n from_o the_o aequator_fw-la or_o a_o certain_a meridian_n be_v give_v which_o be_v find_v in_o the_o map_n or_o globe_n to_o exhibit_v the_o situation_n and_o point_n of_o that_o place_n on_o the_o map_n or_o globe_n or_o thus_o if_o that_o we_o be_v in_o any_o place_n of_o the_o world_n either_o at_o land_n or_o sea_n which_o be_v unknown_a unto_o we_o or_o who_o situation_n we_o be_v ignorant_a of_o to_o the_o other_o part_n of_o the_o earth_n so_o that_o if_o we_o can_v find_v the_o latitude_n and_o longitude_n of_o this_o place_n thence_o to_o find_v out_o the_o situation_n of_o this_o place_n in_o the_o earth_n and_o its_o distance_n from_o other_o place_n this_o be_v that_o problem_n for_o which_o a_o method_n be_v seek_v so_o anxious_o and_o with_o so_o great_a industry_n by_o which_o the_o longitude_n of_o a_o place_n at_o any_o time_n in_o which_o we_o be_v in_o it_o may_v be_v find_v and_o therefore_o although_o we_o shall_v first_o treat_v of_o the_o invention_n of_o this_o longitude_n yet_o i_o think_v it_o fit_a to_o premise_v the_o problem_n itself_o for_o which_o that_o longitude_n be_v seek_v for_o and_o that_o for_o this_o reason_n see_v that_o we_o must_v treat_v large_o of_o this_o longitude_n lest_o you_o shall_v be_v cloy_v not_o know_v to_o what_o end_n so_o great_a a_o labour_n be_v undertake_v and_o so_o many_o various_a way_n try_v know_v the_o longitude_n and_o latitude_n of_o place_n of_o great_a importance_n to_o mariner_n to_o know_v for_o mariner_n have_v sail_v far_o from_o the_o shoar_n and_o be_v in_o the_o ocean_n because_o they_o can_v accurate_o know_v the_o way_n of_o their_o voyage_n make_v by_o reason_n of_o the_o divers_a hindrance_n and_o note_v it_o in_o their_o map_n be_v often_o ignorant_a in_o what_o place_n of_o the_o earth_n they_o be_v what_o situation_n this_o place_n have_v to_o those_o place_n whither_o they_o go_v or_o what_o place_n be_v to_o be_v go_v to_o if_o that_o they_o will_v avoid_v danger_n and_o therefore_o also_o they_o be_v ignorant_a unto_o what_o quarter_n they_o must_v direct_v their_o course_n unto_o the_o knowledge_n of_o which_o there_o be_v no_o more_o ready_a a_o method_n than_o for_o to_o certain_o find_v the_o longitude_n and_o latitude_n of_o the_o place_n that_o be_v its_o distance_n from_o the_o aequator_fw-la and_o some_o certain_a meridian_n of_o the_o earth_n and_o mathematician_n have_v teach_v they_o with_o no_o great_a difficulty_n by_o divers_a way_n to_o find_v out_o the_o latitude_n of_o a_o place_n in_o the_o day_n by_o the_o sun_n and_o in_o the_o night_n by_o the_o star_n such_o modes_n we_o have_v show_v before_o for_o those_o who_o think_v to_o know_v it_o only_o by_o the_o help_n of_o the_o compass_n sufficient_o discover_v their_o ignorance_n from_o which_o latitude_n be_v find_v they_o know_v in_o what_o parallel_n of_o the_o earth_n they_o be_v which_o indeed_o be_v no_o small_a part_n of_o the_o demand_n but_o see_v that_o the_o point_n of_o the_o parallel_n be_v infinite_a they_o do_v not_o yet_o know_v from_o the_o
unto_o a_o certain_a quarter_n or_o the_o billow_n be_v roll_v unto_o a_o certain_a quarter_n if_o therefore_o the_o ship_n be_v direct_v into_o the_o same_o quarter_n the_o way_n make_v will_v be_v great_a than_o the_o conjecture_n make_v it_o but_o if_o into_o a_o contrary_a it_o will_v be_v lesser_a 2._o because_o the_o ship_n be_v carry_v by_o other_o cause_n into_o other_o quarter_n and_o so_o by_o wind_a arrive_v at_o another_o place_n 3._o the_o wind_n be_v various_o change_v 4._o by_o how_o much_o a_o ship_n have_v the_o great_a altitude_n by_o so_o much_o its_o motion_n seem_v more_o slow_a though_o it_o be_v not_o so_o proposition_n v._o to_o observe_v the_o latitude_n of_o a_o place_n unto_o which_o a_o ship_n be_v arrive_v the_o seaman_n observe_v it_o by_o the_o sun_n in_o the_o day_n time_n and_o by_o the_o star_n in_o the_o night_n as_o we_o have_v show_v in_o the_o xxiii_o chapter_n they_o use_v three_o instrument_n 23._o see_v chap._n 23._o the_o astrolabe_n the_o radius_fw-la and_o the_o triangle_n proposition_n vi_o from_o whence_o it_o be_v manifest_a that_o the_o method_n use_v by_o seaman_n to_o find_v the_o place_n on_o the_o map_n unto_o which_o they_o have_v arrive_v be_v fallacious_a because_o that_o they_o can_v neither_o be_v certain_a of_o the_o rhombe_n or_o quarter_n of_o the_o way_n or_o of_o the_o quantity_n of_o the_o way_n make_v or_o of_o the_o observe_v latitude_n of_o the_o place_n yet_o the_o observation_n of_o the_o latitude_n of_o the_o place_n unto_o which_o they_o be_v arrive_v because_o that_o it_o be_v not_o less_o subject_n to_o error_n especial_o the_o air_n and_o sea_n be_v tranquillous_a may_v be_v exempt_v from_o this_o fallacy_n but_o from_o that_o alone_o the_o place_n itself_o be_v not_o find_v on_o the_o map_n or_o earth_n but_o a_o second_o be_v require_v viz._n either_o a_o distance_n from_o another_o place_n give_v or_o a_o rhombe_n by_o which_o they_o sail_v from_o the_o give_v place_n to_o that_o or_o lasty_a the_o longitude_n of_o that_o place_n from_o this_o we_o have_v say_v that_o the_o observation_n of_o the_o way_n make_v or_o distance_n be_v uncertain_a as_o also_o that_o of_o the_o rhombs_n therefore_o they_o return_v back_o to_o find_v out_o the_o longitude_n of_o the_o place_n for_o the_o latitude_n and_o longitude_n of_o the_o place_n be_v know_v the_o place_n itself_o be_v find_v on_o the_o map_n and_o determine_v on_o the_o globe_n of_o the_o earth_n whence_o it_o be_v evident_a that_o the_o art_n of_o navigation_n require_v the_o solution_n of_o this_o problem_n to_o the_o make_v up_o of_o its_o perfection_n viz._n to_o find_v out_o the_o longitude_n of_o the_o place_n where_o we_o be_v at_o any_o time_n and_o on_o any_o day_n the_o prize_n be_v propound_v let_v he_o win_v who_o can_v a_o map_n or_o general_n carte_n of_o the_o world_n design_v in_o two_o plain_a hemispher_n by_o mounseur_fw-fr sanson_n geograph_n r_o to_o the_o french_a king_n and_o render_v into_o english_a and_o illustrated_n with_o figure_n by_o richard_n blome_n by_o the_o king_n especial_a command_n to_o the_o high_a and_o mighty_a monarch_n charles_n the_o secâ—â—â—_n by_o the_o grace_n of_o god_n king_n of_o england_n scotland_n france_n and_o ireland_n defendor_n of_o the_o faith_n etc._n etc._n this_o map_n in_o all_o humility_n be_v dedicate_v by_o your_o majesty_n obedient_a subject_n and_o sarvant_n richard_n blome_n a_o geographical_a description_n of_o the_o world_n take_v from_o the_o work_n of_o the_o famous_a mounseur_fw-fr sanson_n late_a geographer_n to_o the_o present_a french_a king_n to_o which_o be_v add_v about_o a_o hundred_o geographical_a and_o hydrographical_a table_n of_o the_o kingdom_n country_n and_o isle_n in_o the_o world_n with_o their_o chief_a city_n and_o seaport_n draw_v from_o the_o map_n of_o the_o say_v mounseur_fw-fr sanson_n and_o according_a to_o the_o method_n of_o the_o say_a description_n illustrate_v with_o map_n the_o second_o part._n by_o richard_n blome_n print_a in_o the_o year_n 1680._o geographical_a table_n on_o or_o above_o the_o surface_n of_o the_o terrestrial_a globe_n and_o map_n of_o the_o world_n aught_o to_o be_v understand_v and_o note_v ten_o point_n of_o which_o four_o be_v call_v cardinal_n point_n as_o the_o north_n or_o the_o pole_n arctic_a the_o south_n or_o the_o pole_n antarctic_a the_o east_n the_o west_n four_o be_v call_v collateral_a point_n as_o the_o east_n of_o the_o summer_n the_o east_n of_o the_o winter_n the_o west_n of_o the_o summer_n the_o west_n of_o the_o winter_n and_o two_o as_o above_o and_o under_o we_o as_o the_o zenith_n the_o nadir_n ten_o circle_n or_o line_n of_o which_o five_o be_v parallel_n the_o one_o to_o the_o other_o as_o the_o aequinoctial_a or_o the_o aequator_fw-la the_o two_o tropic_n as_o the_o tropic_a of_o cancer_n the_o tropic_a of_o capricorn_n the_o two_o polar_a circle_n as_o the_o circle_n of_o the_o pole_n arctic_a the_o circle_n of_o the_o pole_n antarctic_a five_o other_o be_v different_a the_o one_o from_o the_o other_o as_o in_o the_o middle_n of_o the_o zodiac_n as_o the_o ecliptic_a the_o horizon_n as_o the_o horizon_n rational_a the_o horizon_n sensible_a or_o visible_a the_o parallel_n or_o the_o degree_n of_o latitude_n the_o meridian_n or_o the_o degree_n of_o longitude_n two_o colour_n in_o which_o be_v 4_o point_n which_o note_v our_o four_o season_n of_o the_o year_n to_o wit_n above_o the_o colour_n of_o the_o aequinox_n as_o the_o spring_n the_o autumn_n the_o colour_n of_o the_o solstice_n as_o the_o summer_n the_o winter_n three_o sort_n of_o zone_n in_o which_o be_v five_o to_o wit_v one_o torrid_a or_o the_o parch_a two_o temperate_a as_o the_o temperate_a arctic_a or_o northern_o the_o temperate_a antarctic_a or_o southern_o two_o freeze_a or_o cold_a as_o the_o freeze_a arctic_a or_o northern_o the_o freeze_a antarctic_a or_o southern_o three_o sort_n of_o shadow_n which_o diverse_o receive_v the_o inhabitant_n of_o the_o five_o zone_n for_o they_o be_v in_o the_o torrid_a zone_n amphisciens_fw-la in_o the_o temperate_a zone_n northern_o northern_a heterosciens_fw-fr southern_o southern_a heterosciens_fw-fr in_o the_o freeze_a zone_n northern_o northern_a perisciens_fw-fr southern_o southern_a perisciens_fw-fr three_o sort_n of_o position_n as_o the_o inhabitant_n about_o the_o same_o parallel_n opposite_a in_o meridian_n be_v perioeciens_fw-la the_o inhabitant_n about_o one_o meridian_n oppose_v in_o their_o parallel_n be_v antoeciens_fw-la the_o inhabitant_n oppose_v both_o in_o meridian_n and_o in_o parallel_n be_v antipode_n the_o climate_n of_o which_o the_o ancient_n first_o make_v seven_o which_o they_o call_v by_o the_o most_o famous_a place_n sea_n and_o river_n by_o which_o they_o pass_v as_o dia_z that_o be_v through_z meroes_n dia_z sienes_n dia_z alexandrias_n dia_z rhodou_n dia_z pontou_n dia_z boristenon_n then_o mâ—e_v in_o add_v dia_z ripheon_a dia_z danias_n the_o modern_n make_v 30_o to_o wit_n between_o the_o aequator_fw-la and_o the_o polar_a circle_n 24_o by_o half_a hour_n between_o the_o polar_a circle_n and_o the_o pole_n 6_o by_o month_n the_o parallel_n which_o be_v follow_v the_o ancient_n 14_o between_o the_o aequator_fw-la and_o polar_a circle_n 48_o by_o quarter_n of_o hour_n follow_v the_o modern_n 60_o between_o the_o polar_a circle_n and_o the_o pole_n 12_o by_o fourteen_o day_n the_o wind_n whereof_o the_o 4_o first_o and_o whereof_o the_o name_n be_v monosyllable_n shall_v be_v call_v cardinal_n wind_n as_o north_n south_n east_n west_n 4_o second_o and_o whereof_o the_o name_n be_v of_o two_o syllable_n and_o compose_v of_o two_o of_o the_o four_o first_o shall_v be_v call_v collateral_a wind_n as_o north-east_n northwest_n southeast_n south-west_n 8_o three_o and_o have_v their_o name_n of_o three_o syllable_n compose_v of_o one_o of_o the_o four_o first_o and_o of_o one_o of_o the_o four_o second_o as_o north_n north-east_n north_n northwest_n south_n southeast_n south_n south-west_n east_n north-east_n east_n south-west_n west_n northwest_n west_n south-west_n north_n and_o a_o quarter_n by_o north-east_n north_n and_o a_o quarter_n by_o northwest_n north-east_n and_o a_o quarter_n by_o north_n northwest_n and_o a_o quarter_n by_o north._n 16_o fourths_o take_v their_o name_n from_o four_o first_o or_o four_o second_o in_o say_v of_o one_o four_o part_n by_o the_o other_o and_o that_o without_o have_v regard_n to_o the_o eight_o three_o wind_n etc._n etc._n as_o it_o be_v south_n and_o a_o quarter_n by_o southeast_n south_n and_o a_o quarter_n by_o south-west_n southeast_n and_o a_o quarter_n by_o south_n south-west_n and_o a_o quarter_n by_o south_n east_n and_o a_o quarter_n by_o north-east_n east_n and_o a_o quarter_n by_o southeast_n north-east_n and_o a_o quarter_n by_o east_n southeast_n and_o a_o quarter_n by_o east_n west_n and_o a_o
in_o spain_n to_o wit_n in_o the_o firm_a land_n as_o the_o kingdom_n of_o arragon_n where_o be_v ten_o city_n to_o wit_n caragosa_n lerida_n huesca_n jacca_n callatajud_n borio_n daroca_n teruel_n albazarin_n and_o more_o than_o a_o hundred_o wall_v town_n the_o chief_a of_o which_o be_v anza_n de_fw-fr sobrarbe_n benavarri_n de_fw-fr ribagorsa_n monsons_n fraga_n camfrane_n viescas_n the_o principality_n of_o catalogne_n or_o catalonia_n with_o the_o county_n of_o rousillon_n where_o be_v in_o catalogne_n eight_o city_n barcelona_n tartagona_n lerida_n girona_n tortosa_n solsona_n urgel_n which_fw-mi in_o rousillon_n two_o city_n perpignan_n elna_n and_o about_o a_o hundred_o and_o fifty_o wall_v town_n the_o chief_a of_o which_o in_o catalogne_n be_v puycerda_n balaguer_n cardona_n cervera_n manresa_n castillo_n d'empurias_fw-la rose_n and_o in_o rousillon_n collioure_fw-fr the_o kingdom_n of_o valencia_n where_o be_v four_o city_n valencia_n segorbia_n xativa_n orihuelha_n and_o about_o 60_o wall_v town_n the_o chief_a of_o which_o be_v elche_v biar_n denia_n gandia_n alzira_n morvedre_n villa_n real_a st._n mattheo_n in_o the_o sea_n as_o the_o kingdom_n and_o the_o isle_n of_o majorca_n majorca_n minorca_n citadelli_n yuisa_n yuisva_n in_o italy_n to_o wit_n in_o the_o firm_a land_n as_o the_o kingdom_n of_o naples_n where_o be_v terra_fw-la di_fw-it lavoro_n naples_n or_o napoli_n capona_n principato_n citra_fw-la amalfi_n salerno_n principato_n ultra_fw-la benevento_n conza_n calabria_n citra_fw-la conzenza_n calabria_n ultra_fw-la reggio_n cotrone_n basilicata_n cirenza_n terra_fw-la di_fw-fr otrante_n tarante_n lecce_fw-la otrante_n brindici_fw-la or_o blind_v terra_fw-la di_fw-it bari_n bari_n capitanate_n monte_fw-it st_o angelo_n manfredonia_n comtado_n di_o molife_o abruzzo_n citra_fw-la or_o abruzze_v citerieure_fw-fr lanciau_n or_o lancrano_n sulmone_n civita_n di_fw-fr chietti_n abruzzo_n ultra_fw-la or_o abruzze_v ulterieure_fw-fr civita_n di_fw-it penna_fw-la aquila_n in_o the_o sea_n as_o the_o isle_n and_o kingdom_n of_o sicily_n where_o be_v in_o val_n di_fw-it demona_fw-la messina_n taormina_n catane_n patta_n troina_n cefaledi_fw-la val_n di_fw-fr noto_n siracuso_n noto_n motya_n termini_fw-la val_n di_fw-fr mazara_n palermo_n monreal_n trapani_n marzalla_n mazara_n xacca_n girgenti_n the_o isle_n and_o kingdom_n of_o sardaigne_n where_o be_v in_o capo_n cagliari_n cagliary_a or_o calari_n oriftagni_n villa_n di_fw-fr glesia_n capo_n lugodori_n sassari_n algeri_n bosa_n and_o divers_a isle_n towards_o naples_n ischia_n capri_n towards_o sicily_n lipara_n etc._n etc._n the_o estate_n of_o the_o crown_n of_o portugal_n be_v in_o europe_n the_o portugal_n or_o kingdom_n of_o portugal_n comprehend_v three_o region_n six_o province_n twenty_o almoxarifatz_n that_o be_v court_v of_o audience_n or_o for_o the_o receipt_n of_o the_o king_n revenue_n 18_o city_n more_o than_o 400_o wall_a town_n 200_o borough_n 4000_o parish_n the_o region_n be_v between_o the_o river_n minho_n and_o douro_n where_o be_v the_o province_n of_o between_o the_o river_n minho_n and_o douro_n which_o comprehend_v the_o almoxarifatz_n of_o porto_n porto_n viana_n de_fw-fr foz_fw-fr caminha_n viana_n de_fw-fr foz_fw-fr de_fw-fr lima_n barcelos_n ponte_n de_fw-fr lima_n ponte_n de_fw-la lima._n guimaranes_n braga_n guimaranes_n tralos_a montes_n which_o comprehend_v the_o almoxarifatz_n of_o miranda_n miranda_z bragansa_n torro_fw-la de_fw-fr mencorvo_n torre_n de_fw-fr mencorvo_n chiave_n villa_n real_a villa_n real_a pinhel_n castel_n rodrigo_n pinhel_n between_o the_o river_n douro_n and_o tajo_n where_o be_v the_o province_n of_o estremadura_n which_o contain_v the_o almoxarifatz_n of_o lisbona_n lisbona_n santarein_o santarein_o tomar_n tomar_n alenquez_n alenquez_n sintra_n leiria_n leiria_n setubal_n setubal_n cezimbra_n almada_n palmela_n alcazer_n do_v sal._n beira_n which_o hold_v the_o almoxarifatz_n of_o coimbra_n coimbra_fw-la guarda_fw-it guarda_fw-it lamego_n lamego_n viseu_n viseu_n aveiro_n aveiro_n castel_n branco_n castel_n branco_n salvatierra_n indanha_n alen-tajo_a or_o between_o the_o river_n tajo_n and_o guadiana_n where_o be_v the_o province_n of_o alen-tajo_a which_o hold_v the_o almoxarifatz_n of_o evora_n evora_n beja_n beja_n serpa_n st_n jago_n de_fw-fr câ—cem_fw-la mertola_fw-la ourique_n elvas_n elvas_n olivensa_fw-la mouraon_n portalegre_n portalegre_n crato_n estremoz_fw-mi estremoz_fw-mi and_o avis_n algarve_n and_o the_o almoxarifatz_n of_o tavila_n pharo_n tavila_n lagos_n silve_n and_o lagos_n divers_a estate_n kingdom_n isle_n city_n etc._n etc._n in_o the_o other_o part_n of_o the_o one_o and_o the_o other_o continent_n among_o the_o which_o be_v in_o africa_n and_o on_o the_o coast_n of_o the_o kingdom_n of_o fez_n centa_n the_o kingdom_n of_o morocco_n mazagan_n the_o country_n of_o negro_n arguin_n sierre_n leone_n cachieu_n guinee_n st._n george_n de_fw-fr la_fw-fr mina_n the_o kingdom_n of_o angola_n st_n pol_n de_fw-fr loanda_n cambambe_n caffreria_n or_o cafres_n cuama_n or_o sofala_n zanguebar_v mozambique_n malinde_a monbaza_n the_o isle_n of_o madera_n funghal_o azore_n angra_n cape_n verd_fw-mi st._n jago_n st._n thomas_n etc._n etc._n pavoasam_n in_o asia_n and_o on_o the_o coast_n of_o arabia_n mascate_v persia_n ormus_n cambay_n diu_n daman_n bazaim_n decan_n shall_fw-mi cuncan_n goa_n canara_n barcelor_n malabar_n cananor_n cranganor_n cohin_n coulan_n choromandel_n negapatan_n malâ—apour_n or_o st._n thomas_n pegu_n sirian_a malacca_n malacca_n china_n macao_n the_o isle_n or_o part_n of_o the_o isle_n of_o ceylan_n colombo_n manar_n manar_n moluccoe_n nostro_fw-la seniora_n del_fw-it rozaria_n japon_n meliapon_n in_o america_n and_o in_o brazil_n the_o fourteen_o capitany_n or_o government_n of_o para_n para._n maranhan_n maranhan_n ciara_n ciara_n rio_n grande_n rio_n grande_n or_o potengi_n parayba_n paraba_n tamaraca_n tamaraca_n fennambuco_n olinda_n seregippa_n seregippa_n bahia_n de_fw-fr todo_fw-es los_fw-es santos_n st._n salvador_n los_fw-la isleos_n los_fw-la isleos_n porto_n seguro_fw-la porto_n seguro_fw-la spiritu_fw-la santo_n spiritu_fw-la santo_n rio_n janiero_n st._n sebastian_n st._n vincent_n santos_n to_z the_o r_z t_o worshipful_a henry_n hunloke_n of_o wingerworth_n in_o derbyshireshire_n bar_n t_o this_o map_n be_v humble_o d.d._n by_o r.b._n a_o general_n map_n of_o the_o kingdom_n of_o spain_n by_o mounseur_fw-fr sanson_n geographer_n to_o the_o eranch_n king_n spain_n the_o kingdom_n of_o spain_n be_v almost_o quite_o encompass_v with_o the_o ocean_n and_o mediterranean_a sea_n and_o the_o pyrenean_n mountain_n separate_v it_o from_o france_n these_o mountain_n be_v that_o isthmus_n or_o neck_n of_o land_n that_o unit_v spain_n to_o the_o continent_n and_o serve_v as_o a_o desence_n and_o bind_v for_o this_o kingdom_n and_o france_n and_o the_o inhabitant_n that_o here_o reside_v be_v a_o sort_n of_o rude_a and_o barbarous_a people_n spain_n take_v conjoint_o with_o portugal_n which_o though_o a_o particular_a kingdom_n have_v be_v always_o take_v as_o a_o member_n thereof_o extend_v itself_o from_o the_o 35th_o degree_n of_o latitude_n unto_o almost_o the_o 44th_o and_o from_o the_o 9th_o degree_n of_o longitude_n to_o the_o 24_o it_o be_v seat_v in_o the_o most_o southern_o part_v of_o the_o north_n temperate_a zone_n situation_n situation_n the_o long_a summers-day_n make_v 15_o hour_n it_o be_v a_o country_n not_o over_o fertile_a in_o corn_n or_o cattle_n which_o do_v occasion_n the_o people_n to_o order_v their_o diet_n according_o their_o chief_a food_n be_v salad_n and_o fruit_n the_o product_n of_o the_o earth_n so_o that_o with_o a_o small_a piece_n of_o flesh_n they_o will_v make_v two_o or_o three_o dish_n and_o above_o all_o their_o oleum_n be_v esteem_v as_o a_o excellent_a dish_n but_o in_o recompense_n of_o the_o defect_n of_o corn_n and_o cattle_n the_o country_n produce_v divers_a rich_a commodity_n as_o wine_n oil_n several_a metal_n rice_n cork_n soda_fw-it barrellia_n shumack_n soap_n commodity_n its_o commodity_n anchovy_n honey_n wax_n woad_n coriander_n saffron_n anniseed_n raisin_n almond_n orange_n lemon_n liquorice_n wool_n lambskin_n raw_a silk_n etc._n etc._n spain_n receive_v its_o first_o people_n from_o celtes_n whence_o come_v the_o name_n of_o celtiâ—eri_n then_o the_o phoenician_n and_o carthaginian_n possess_v the_o most_o southern_a part_n near_a to_o africa_n inhabitant_n the_o several_a inhabitant_n and_o endeavour_v to_o make_v themselves_o master_n of_o all_o the_o country_n the_o roman_n drive_v they_o out_o and_o possess_v it_o whole_o and_o in_o the_o declension_n of_o their_o empire_n the_o goth_n vandal_n sueve_n alain_n and_o silinge_v fettle_v here_o and_o part_v it_o among_o they_o the_o goth_n in_o the_o end_n remain_v sole_a master_n till_o such_o time_n as_o the_o moor_n vanquish_v they_o and_o force_v they_o to_o retire_v to_o the_o mountain_n of_o leon_n the_o asturias_n and_o gallicia_n the_o people_n now_o inhabit_v in_o spain_n be_v of_o a_o swart_a complexion_n black_a haired_a and_o of_o a_o good_a proportion_n they_o be_v very_o stately_a in_o all_o their_o action_n of_o a_o majestic_a gate_n in_o their_o carriage_n be_v very_a grave_n and_o
wast-ground_n it_o be_v water_v by_o the_o river_n scheld_v and_o ley_n which_o run_v through_o the_o city_n and_o make_v 26_o island_n which_o be_v conjoin_v by_o 98_o bridge_n this_o place_n be_v particular_o famous_a for_o be_v the_o birth-place_n of_o john_n of_o gaunt_n duke_n of_o lancaster_n 2._o bruges_n seat_v on_o a_o large_a and_o deep_a channel_n of_o the_o sea_n from_o which_o it_o be_v distant_a about_o three_o league_n once_o a_o famous_a mart_n town_n but_o now_o of_o small_a account_n as_o to_o matter_n of_o traffic_n 3._o ipres_fw-fr seat_v on_o a_o river_n so_o call_v a_o town_n of_o great_a strength_n 4._o gravel_v or_o gravelines_n feat_v on_o the_o seashore_n a_o place_n of_o good_a strength_n and_o 5._o lisle_n of_o some_o account_n the_o four_o principal_a port_n in_o flanders_n be_v 1._o dunkirk_n now_o in_o the_o possession_n of_o the_o french_a a_o place_n of_o good_a strength_n especial_o of_o late_a when_o the_o english_a be_v master_n of_o it_o nigh_o to_o 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the_o nine_o and_o that_o the_o most_o wonderful_a stand_v on_o the_o ground_n three_o foot_n or_o such_o a_o matter_n from_o the_o ground_n and_o wall_n and_o that_o be_v a_o great_a globe_n of_o the_o heaven_n perfect_o describe_v in_o which_o be_v three_o motion_n one_o of_o the_o whole_a globe_n which_o betoken_v the_o whole_a heaven_n and_o move_v about_o from_o the_o east_n to_o the_o west_n in_o four_o and_o twenty_o hour_n the_o second_o be_v of_o the_o sun_n which_o run_v through_o the_o sign_n there_o describe_v by_o that_o artificial_a motion_n it_o have_v once_o every_o year_n the_o three_o be_v of_o the_o moon_n which_o run_v her_o course_n in_o 28_o day_n so_o that_o in_o this_o globe_n you_o may_v view_v as_o if_o you_o have_v the_o heaven_n in_o your_o hand_n the_o motion_n of_o the_o whole_a heaven_n the_o motion_n of_o the_o sun_n and_o moon_n every_o minute_n of_o a_o hour_n the_o rise_n and_o fall_v of_o every_o star_n among_o which_o star_n be_v the_o maker_n of_o this_o work_n dassipodius_fw-la and_o wolkinstenius_fw-la describe_v yea_o better_o than_o in_o the_o true_a heaven_n because_o here_o the_o sun_n darkness_n they_o not_o by_o day_n nor_o the_o moon_n by_o night_n the_o instrument_n of_o these_o motion_n be_v hide_v in_o the_o body_n of_o a_o pelican_n which_o be_v portray_v under_o the_o globe_n the_o pole_n lift_v up_o to_o the_o elevation_n of_o strasburgh_n and_o note_v by_o a_o fair_a star_n make_v in_o brass_n the_o zenith_n be_v declare_v by_o a_o angel_n place_v in_o the_o midst_n of_o the_o meridian_n the_o second_o thing_n to_o be_v observe_v which_o be_v the_o first_o on_o the_o wall_n be_v two_o great_a circle_n one_o within_o another_o the_o one_o eight_o foot_n the_o other_o nine_o foot_n broad_a the_o uttermost_a move_v from_o the_o north_n to_o the_o south_n once_o in_o a_o year_n and_o have_v two_o angel_n the_o one_o on_o the_o north-side_n which_o point_v every_o day_n in_o the_o week_n the_o other_o on_o the_o 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the_o four_o thing_n which_o be_v next_o above_o this_o be_v a_o dias_n for_o the_o minute_n of_o hour_n so_o that_o you_o shall_v see_v every_o minute_n pass_v two_o beautiful_a picture_n of_o two_o child_n be_v join_v to_o either_o side_n of_o this_o he_o which_o be_v on_o the_o north-side_n have_v a_o sceptre_n in_o his_o hand_n and_o when_o the_o clock_n strike_v he_o tell_v orderly_o every_o stroke_n he_o on_o the_o southside_n have_v a_o fine_a hourglass_n in_o his_o hand_n which_o run_v just_a with_o the_o clock_n and_o when_o the_o clock_n have_v strike_v he_o turn_v his_o hourglass_n which_o be_v run_v forth_o and_o hold_v it_o run_v the_o first_o thing_n which_o be_v next_o above_o the_o minute-dial_n be_v the_o dial_n for_o the_o hour_n contain_v the_o half_a part_n also_o the_o uttermost_a circumference_n contain_v the_o hour_n but_o within_o it_o be_v make_v a_o curious_a and_o perfect_a astrolabe_n whereby_o be_v show_v the_o motion_n of_o every_o planet_n his_o aspect_n 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side_n in_o the_o same_o room_n where_o he_o be_v come_v christ_n forth_o and_o drive_v he_o in_o but_o when_o the_o last_o quarter_n be_v hear_v christ_n give_v he_o leave_v to_o go_v to_o the_o bell_n which_o be_v in_o the_o midst_n and_o so_o strike_v he_o with_o his_o bone_n according_a to_o the_o number_n of_o the_o hour_n and_o there_o he_o stand_v at_o the_o bell_n as_o the_o old_a man_n do_v at_o his_o quarter_n bell_n until_o the_o next_o quarter_n and_o then_o go_v they_o in_o both_o together_o the_o nine_o and_o last_o thing_n in_o this_o right_a line_n be_v the_o town_n at_o the_o top_n of_o the_o work_n wherein_o be_v a_o noble_a pleasant_a chime_n which_o go_v at_o three_o seven_o and_o eleven_o of_o the_o clock_n every_o time_n a_o diverse_a tune_n to_o one_o of_o the_o psalm_n and_o at_o christmas_n easter_n and_o whitsuntide_n a_o thanksgiving_n unto_o christ_n and_o when_o this_o chime_n have_v do_v the_o cock_n which_o stand_v on_o the_o top_n of_o the_o town_n on_o the_o north-side_n of_o the_o main_a work_n have_v stretch_v out_o his_o neck_n shake_v his_o comb_n and_o clap_v his_o wing_n twice_o crowse_v then_o twice_o and_o this_o very_o he_o do_v so_o shrill_a and_o natural_o as_o it_o will_v make_v any_o man_n to_o wonder_n and_o if_o they_o listen_v which_o attend_v the_o clock_n they_o make_v he_o to_o crow_n more_o time_n in_o this_o town_n whereon_o this_o cock_n stand_v be_v convey_v all_o the_o instrument_n of_o those_o motion_n which_o be_v in_o the_o foresay_a describe_v thing_n the_o other_o place_n of_o note_n in_o this_o low_a alsatia_n be_v 2._o altkirck_n in_o the_o part_n of_o sungou_n 3._o ensisheim_n in_o high_a alsatia_n 4._o frisbourg_n in_o brisgou_n 6._o offenbourg_n in_o mortnais_n and_o 7._o bid_v in_o the_o marquisate_n rhine_n palatinate_n of_o the_o rhine_n the_o palatinate_n of_o the_o rhine_n which_o be_v divide_v or_o sever_v into_o the_o estate_n of_o the_o palatinate_n the_o estate_n of_o the_o prince_n of_o the_o house_n palatinate_n and_o the_o bishopric_n and_o imperial_a city_n of_o spire_n and_o worm_n the_o chief_a place_n be_v heidelberg_n seat_v in_o a_o plain_a but_o environ_v on_o three_o side_n with_o high_a mountain_n and_o the_o other_o regard_v the_o rhine_n from_o which_o it_o be_v distant_a about_o a_o mile_n it_o be_v dignify_v with_o the_o seat_n of_o the_o palsgraves_n as_o also_o with_o a_o university_n 2._o spire_n seat_v in_o a_o plain_a about_o half_a a_o mile_n from_o the_o rhine_n a_o city_n of_o more_o antiquity_n than_o beauty_n and_o trade_n be_v of_o note_n for_o the_o imperial_a chamber_n here_o continual_o keep_v 3._o worm_n a_o city_n also_o of_o good_a antiquity_n for_o the_o many_o imperial_a parliament_n here_o former_o hold_v and_o 4._o frankendal_n a_o new_a fair_a strong_a and_o beautiful_a city_n about_o which_o grow_v great_a plenty_n of_o rhenish_a wine_n cologne_n electorates_n of_o mayence_n trive_v and_o cologne_n the_o electorates_n and_o archbishopric_n on_o the_o rhine_n be_v those_o of_o mayence_n who_o chief_a place_n be_v mayence_n and_o aschaffenbourg_n of_o treves_n who_o chief_a place_n be_v treves_n and_o coblentz_n and_o of_o cologne_n who_o principal_a place_n be_v cologne_n and_o bonne_fw-fr cleaveland_n cleaveland_n the_o estate_n of_o the_o succession_n of_o cleaveland_n contain_v the_o dutchy_n of_o cleves_n of_o julier_fw-la and_o of_o berge_n the_o duchy_n of_o cleves_n and_o county_n of_o mark_n be_v in_o the_o marquisate_n of_o brandenburg_n cleves_n duchy_n of_o cleves_n and_o have_v for_o its_o chief_a place_n wesel_n and_o hamme_n in_o the_o county_n of_o mark_n juliers_n duchy_n of_o juliers_n the_o duchy_n of_o juliers_n have_v for_o its_o chief_a place_n aken_n where_o the_o emperor_n after_o his_o election_n be_v invest_v with_o the_o silver_n crown_n of_o germany_n this_o place_n be_v of_o great_a esteem_n for_o its_o holy_a relic_n and_o 2._o juliers_n the_o duchy_n of_o berge_n or_o 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