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earth_n appearance_n part_n zone_n 20 3 13.1981 5 false
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ID Title Author Corrected Date of Publication (TCP Date of Publication) STC Words Pages
A64730 Cosmography and geography in two parts, the first, containing the general and absolute part of cosmography and geography, being a translation from that eminent and much esteemed geographer Varenius : wherein are at large handled all such arts as are necessary to be understand for the true knowledge thereof : the second part, being a geographical description of all the world, taken from the notes and works of the famous Monsieur Sanson, late geographer to the French King : to which are added about an hundred cosmographical, geographical and hydrographical tables of several kingdoms and isles of the world, with their chief cities, seaports, bays, &c. drawn from the maps of the said Sanson : illustrated with maps. Sanson, Nicolas, 1600-1667.; Blome, Richard, d. 1705.; Varenius, Bernhardus, 1622-1650. Geographia generalis. English. 1682 (1682) Wing V103; ESTC R2087 1,110,349 935

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depart_v from_o the_o meridian_n for_o that_o be_v equal_a to_o the_o latitude_n of_o the_o place_n proposition_n x._o the_o place_n of_o the_o earth_n situate_v under_o the_o aequator_fw-la have_v no_o latitude_n or_o elevation_n of_o the_o pole_n but_o both_o the_o pole_n lie_v in_o their_o horizon_n latitude_n the_o place_n under_o the_o aequator_fw-la have_v not_o latitude_n the_o place_n under_o the_o pole_n have_v the_o latitude_n of_o 90_o degree_n viz._n the_o pole_n in_o the_o vertex_fw-la and_o the_o aequator_fw-la in_o the_o horizon_n the_o place_n between_o the_o pole_n and_o the_o aequator_fw-la have_v a_o less_o latitude_n than_o ninety_o degree_n the_o truth_n of_o this_o proposition_n be_v evident_a therefore_o it_o need_v no_o explication_n proposition_n xi_o if_o we_o be_v either_o on_o the_o sea_n or_o land_n and_o know_v not_o the_o place_n where_o we_o be_v let_v the_o latitude_n be_v find_v to_o exhibit_v that_o parallel_n in_o the_o globe_n that_o we_o may_v be_v certain_a that_o we_o be_v in_o one_o point_n of_o it_o this_o be_v do_v after_o the_o same_o manner_n that_o we_o have_v show_v in_o the_o six_o proposition_n viz._n a_o parallel_n must_v be_v describe_v at_o the_o give_v or_o observe_v latitude_n and_o this_o be_v the_o parallel_n demand_v the_o same_o be_v also_o easy_a in_o map_n chap._n xxiv_o of_o the_o division_n of_o the_o earth_n into_o zone_n and_o the_o celestial_a appearance_n in_o the_o divers_a zone_n proposition_n i._o from_o the_o proper_a or_o annual_a motion_n of_o the_o sun_n there_o arise_v a_o certain_a division_n of_o the_o superficies_n of_o the_o earth_n into_o five_o part_n or_o zone_n scheme_n the_o division_n of_o the_o earth_n into_o 5_o zone_n see_v scheme_n see_v that_o the_o sun_n do_v not_o always_o continue_v in_o the_o aequator_fw-la but_o decline_v from_o it_o describe_v by_o his_o motion_n a_o path_n which_o cut_v the_o aequator_fw-la so_o that_o his_o great_a declination_n be_v in_o 23½_n degree_n 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pass_v through_o through_o the_o island_n of_o st._n thomas_n in_o the_o great_a bay_n of_o africa_n which_o be_v call_v the_o aethiopian_a ocean_n through_o aethiopia_n through_o the_o indian_a ocean_n through_o the_o middle_n of_o sumatra_n through_o the_o chersonesus_n of_o malacca_n and_o other_o island_n in_o the_o indian_a ocean_n through_o the_o moluccas_n themselves_o and_o the_o pacifick_n ocean_n through_o the_o entrance_n of_o the_o province_n of_o peruana_n by_o the_o lake_n parima_fw-la through_o the_o atlantic_a ocean_n even_o to_o the_o island_n of_o st._n thomas_n the_o aequator_fw-la divide_v the_o torrid_a zone_n into_o two_o equal_a part_n so_o that_o they_o may_v deserve_o be_v term_v two_o torrid_a zone_n one_o northern_a and_o the_o other_o southern_a these_o place_n lie_v in_o the_o torrid_a zone_n zone_n place_n which_o lie_v in_o the_o torrid_a zone_n the_o great_a part_n of_o africa_n the_o indian_a ocean_n abyssine_n part_n of_o arabia_n cambaja_n india_n the_o isle_n of_o the_o indian_a sea_n java_n ceilan_n peruvia_n mexico_n great_a part_n of_o the_o atlantic_a ocean_n the_o island_n of_o st._n helena_n brazil_n new_a guinee_n through_o place_n which_o the_o tropic_a of_o cancer_n pass_v through_o the_o tropic_a of_o cancer_n pass_v through_o these_o place_n viz._n through_o the_o confine_n of_o lybia_n and_o other_o place_n in_o the_o inland_a africa_n through_o syena_n in_o aethiopia_n thence_o pass_v the_o red_a sea_n beyond_o the_o mountain_n sinai_n and_o mecca_n the_o birth-place_n of_o mahomet_n it_o pass_v through_o arabia_n felix_n hence_o it_o enter_v the_o indian_a ocean_n and_o touch_v the_o border_n of_o persia_n and_o pass_v over_o cambaja_n india_n and_o the_o border_n of_o china_n until_o it_o come_v into_o the_o pacifick_n sea_n which_o be_v pass_v over_o it_o fall_v in_o with_o california_n into_o the_o kingdom_n of_o mexico_n and_o again_o enter_v into_o the_o atlantic_a ocean_n pass_v the_o gulf_n of_o mexico_n it_o sweep_v the_o coast_n of_o the_o isle_n of_o cuba_n and_o thence_o return_v to_o the_o occidental_a shore_n of_o africa_n through_o place_n which_o the_o tropic_a of_o capricorn_n pass_v through_o the_o tropic_a of_o capricorn_n pass_v through_o very_a few_o place_n of_o the_o earth_n its_o great_a part_n lie_v in_o the_o sea_n the_o place_n through_o which_o it_o pass_v be_v through_o the_o tongue_n of_o africa_n through_o monomotapa_n madagascar_n the_o indian_a ocean_n new_a guinee_n the_o pacifick_n ocean_n peru_n brazil_n and_o through_o the_o atlantic_a ocean_n zone_n place_n situate_a in_o the_o northern_a and_o southern_a temperate_a zone_n many_o place_n in_o the_o earth_n lie_v in_o the_o northern_a temperate_a zone_n and_o those_o almost_o all_o know_v and_o inhabit_v viz._n all_o europe_n all_o asia_n except_o part_n of_o india_n malacca_n and_o the_o isle_n of_o the_o indian_a ocean_n great_a part_n of_o america_n septentrionalis_n and_o part_n of_o the_o atlantic_a and_o pacifick_n ocean_n in_o the_o southern_a temperate_a zone_n few_o place_n lie_v and_o those_o not_o full_o know_v with_o a_o large_a portion_n of_o the_o sea_n viz._n part_n of_o the_o prominent_a part_n of_o africa_n monomotapa_n a_o great_a part_n of_o terra_fw-la magellanica_fw-la part_n of_o brazil_n chili_n the_o strait_n of_o magellan_n and_o a_o great_a part_n of_o the_o atlantic_a indian_a and_o pacifick_n ocean_n through_o place_n which_o the_o arctic_a and_o antarctic_a polary_n circle_n pass_v through_o the_o arctic_a polary_n circle_n pass_v almost_o through_o the_o middle_n of_o izland_n through_o the_o upper_a norway_n the_o north_n sea_n lapland_n the_o bay_n of_o russia_n samojeda_n tartary_n america_n septentrionalis_n and_o groenland_n the_o antarctic_a polary_n circle_n pass_v through_o terra_fw-la magellanica_fw-la of_o which_o we_o have_v little_a or_o no_o knowledge_n at_o this_o day_n zone_n place_n which_o lie_v in_o the_o cold_a northern_a and_o southern_a
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 matter_n viz._n the_o notation_n of_o the_o wind_n which_o at_o that_o time_n be_v observe_v in_o each_o region_n whether_o in_o every_o year_n the_o same_o never_o return_v yet_o if_o that_o any_o thing_n must_v be_v say_v to_o the_o question_n these_o seem_v convenient_a 1._o we_o can_v deny_v but_o that_o the_o north_n wind_n often_o blow_v in_o our_o canicular_a or_o dog_n day_n 2._o that_o it_o be_v discover_v less_o continual_a and_o in_o each_o year_n peradventure_o the_o cause_n be_v the_o often_o blow_v of_o other_o wind_n which_o hinder_v the_o discovery_n of_o the_o same_o 3._o we_o may_v say_v that_o the_o mountain_n from_o which_o this_o first_o resolution_n of_o the_o snow_n begin_v be_v situate_v direct_o from_o greece_n and_o therefore_o the_o first_o canicular_a wind_n be_v carry_v hither_o but_o the_o vapour_n be_v carry_v hither_o from_o the_o snow_n of_o the_o other_o mountain_n because_o that_o here_o they_o find_v a_o free_a passage_n make_v but_o i_o shall_v reject_v these_o my_o extemporay_a thought_n when_o that_o i_o shall_v see_v a_o better_a reason_n and_o more_o accurate_a observation_n proposition_n vi_o some_o wind_n be_v proper_a and_o almost_o perpetual_a to_o some_o place_n or_o tract_n of_o land_n other_o be_v cease_v time_n place_n which_o have_v a_o certain_a wind_n at_o a_o fix_a time_n those_o place_n of_o the_o earth_n be_v very_o few_o which_o have_v a_o certain_a wind_n at_o a_o fix_a time_n viz._n these_o 1._o the_o place_n of_o the_o torrid_a zone_n especial_o of_o part_n of_o the_o pacifick_n and_o aethiopick_n sea_n situate_a in_o the_o zone_n enjoy_v a_o perpetual_a wind_n viz._n a_o oriental_a wind_n or_o its_o collateral_a which_o they_o call_v a_o general_n wind_n as_o we_o have_v show_v in_o the_o second_o proposition_n where_o we_o have_v treat_v large_o of_o it_o yea_o this_o wind_n be_v not_o so_o much_o to_o be_v reckon_v among_o the_o proper_a wind_n but_o rather_o to_o be_v determine_v to_o be_v common_a 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 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the_o twenty_o chapter_n whence_o rain_n and_o cloud_n proceed_v by_o which_o the_o heat_n and_o light_n of_o the_o sun_n be_v very_o much_o obstruct_v and_o the_o celestial_a cause_n of_o the_o season_n be_v disturb_v there_o be_v few_o of_o the_o place_n of_o the_o torrid_a zone_n which_o want_v those_o ridge_n as_o the_o inward_a africa_n mexico_n and_o the_o like_a 9_o the_o effect_n of_o the_o wind_n in_o the_o torrid_a zone_n be_v various_a and_o notable_a for_o a_o general_a wind_n blow_v from_o the_o side_n plagas_fw-la of_o the_o east_n or_o from_o the_o east_n continual_o towards_o the_o west_n refrigerate_v the_o maritime_a place_n which_o regard_v the_o east_n as_o brazilia_n the_o oriental_a coast_n of_o africa_n but_o not_o so_o to_o those_o towards_o the_o west_n as_o guiney_n congo_n angola_n and_o the_o coast_n of_o peru._n some_o wind_n be_v appropriate_v as_o the_o south_n in_o peru_n which_o wind_n dispel_v vapour_n towards_o the_o plaga_fw-la in_o which_o they_o blow_v some_o be_v fix_v wind_n of_o which_o we_o have_v large_o treat_v in_o the_o one_o and_o twenty_o chapter_n now_o these_o wind_n do_v very_o much_o disturb_v the_o celestial_a cause_n of_o the_o season_n for_o they_o be_v almost_o as_o equal_o constant_a and_o observe_v order_n as_o the_o motion_n of_o the_o heaven_n itself_o they_o bring_v down_o the_o air_n compel_v the_o vapour_n towards_o the_o top_n of_o the_o mountain_n and_o by_o other_o mode_n alter_v the_o season_n ten_o anniversary_n rain_n be_v in_o many_o place_n of_o the_o torrid_a zone_n and_o take_v away_o the_o celestial_a cause_n see_v that_o they_o be_v as_o equal_o constant_a as_o the_o motion_n of_o the_o sun_n itself_o for_o those_o err_v who_o suppose_v that_o this_o our_o sublunary_a orb_n observe_v all_o with_o inconstancy_n and_o without_o order_n and_o that_o the_o celestial_a only_o have_v a_o constant_a motion_n see_v that_o the_o cause_n hitherto_o speak_v of_o be_v so_o various_a to_o be_v able_a to_o cause_v the_o heat_n and_o the_o property_n of_o the_o season_n and_o in_o one_o place_n some_o be_v from_o other_o cause_n in_o another_o other_o be_v of_o force_n or_o concur_v in_o divers_a season_n of_o the_o year_n or_o mutual_o impede_fw-la one_o another_o hence_o we_o discover_v why_o the_o cause_n and_o condition_n of_o the_o season_n of_o the_o torrid_a zone_n be_v so_o various_a proposition_n xi_o how_o the_o spring_n summer_n autumn_n and_o winter_n terrestrial_a do_v behave_v themselves_o and_o in_o what_o month_n of_o the_o year_n they_o commence_v in_o the_o divers_a place_n of_o the_o torrid_a zone_n zone_n of_o the_o beginning_n of_o the_o season_n in_o place_n in_o the_o torrid_a zone_n we_o have_v say_v before_o and_o especial_o in_o the_o second_o proposition_n that_o
the_o air_n than_o it_o will_v do_v without_o this_o refraction_n we_o shall_v anon_o allege_v a_o example_n of_o the_o appearancy_n of_o the_o sun_n proceed_v from_o refraction_n 4._o the_o full_a moon_n and_o near_o the_o full_a remain_v above_o the_o horizon_n for_o many_o day_n when_o the_o sun_n be_v depress_v beneath_o it_o viz._n for_o so_o many_o more_o day_n by_o how_o much_o that_o place_n be_v more_o near_o the_o pole_n yet_o it_o be_v not_o so_o high_o elevate_v above_o the_o horizon_n as_o to_o cause_v any_o warmness_n but_o the_o full_a moon_n in_o those_o month_n in_o which_o the_o sun_n remain_v above_o the_o horizon_n in_o a_o whole_a revolution_n the_o full_a moon_n be_v never_o above_o the_o horizon_n horizon_n the_o planet_n not_o always_o the_o same_o above_o horizon_n 5._o the_o fix_a star_n be_v almost_o the_o same_o always_o above_o the_o horizon_n but_o not_o the_o planet_n for_o saturn_n remain_v 15_o year_n above_o the_o horizon_n of_o the_o place_n near_o the_o pole_n and_z 15_o beneath_o the_o same_o jupiter_n 6_o year_n beneath_o and_o 6_o above_o the_o same_o horizon_n mars_n 1_o year_n venus_n and_o mercury_n about_o half_a a_o year_n from_o this_o cause_n it_o be_v likely_a that_o there_o be_v great_a diversity_n of_o the_o motion_n of_o the_o air_n and_o season_n in_o divers_a year_n 6._o the_o land_n in_o most_o place_n of_o the_o frigid_a zone_n be_v stony_a rocky_a and_o as_o hard_o as_o flint_n in_o few_o place_n chalky_a sulphureous_a and_o fat_a in_o these_o place_n there_o be_v a_o moderate_a fertility_n in_o the_o other_o a_o sterility_n 7._o those_o region_n be_v encompass_v with_o the_o sea_n but_o for_o the_o mediterranean_a we_o as_o yet_o have_v no_o certain_a account_n 8._o some_o of_o the_o region_n of_o the_o frigid_a zone_n have_v mountain_n of_o a_o moderate_a height_n but_o most_o want_v they_o run_v on_o a_o plain_a for_o a_o long_a space_n 9_o the_o cold_a wind_n there_o frequent_o blow_v from_o the_o polary_n plaga_fw-la seldom_o the_o east_n wind_n and_o least_o of_o all_o the_o west_n in_o the_o cold_a arctic_a plaga_fw-la the_o north_n wind_n rage_n in_o the_o antarctic_a the_o south_n 10._o cloud_n and_o rain_n frequent_o perplex_v these_o region_n from_o these_o cause_n it_o be_v not_o difficult_a to_o collect_v what_o the_o condition_n of_o the_o season_n in_o these_o region_n be_v for_o in_o the_o winter_n time_n when_o the_o sun_n rise_v not_o for_o whole_a day_n it_o can_v otherwise_o be_v but_o that_o for_o the_o most_o part_n thick_a cloud_n frost_n and_o cold_a must_v render_v the_o land_n uninhabitable_a they_o be_v not_o altogether_o deprive_v of_o light_n for_o that_o time_n for_o the_o moon_n be_v above_o the_o horizon_n for_o a_o long_a time_n give_v light_a and_o the_o twilight_n be_v daily_o afford_v from_o the_o sun_n to_o the_o vicine_fw-la horizon_n but_o the_o snow_n the_o stick_n close_o about_o the_o earth_n which_o can_v be_v discuss_v by_o the_o heat_n of_o the_o sun_n and_o therefore_o hinder_v the_o aspect_n of_o remote_a thing_n there_o be_v no_o fertility_n but_o all_o barren_a and_o uncultivated_a for_o that_o which_o some_o suppose_v by_o how_o much_o any_o region_n be_v near_a to_o the_o pole_n by_o so_o much_o less_o it_o feel_v the_o intenseness_n of_o the_o cold_a and_o the_o field_n be_v find_v more_o fertile_a seem_v not_o probable_a to_o i_o when_o neither_o in_o nova_n zembla_n which_o be_v distant_a 16_o degree_n from_o the_o pole_n nor_o in_o spitzbirga_n which_o be_v only_o 8_o degree_n distant_a such_o a_o constitution_n of_o the_o earth_n be_v find_v but_o a_o roughness_n and_o hardness_n and_o almost_o in_o the_o middle_n of_o summer_n snow_n or_o at_o least_o shower_n and_o very_o cold_a wind_n neither_o be_v their_o opinion_n help_v by_o one_o example_n observe_v by_o mariner_n in_o a_o certain_a region_n 9_o degree_n distant_a from_o the_o pole_n which_o most_o man_n suppose_v to_o be_v groenland_n for_o in_o this_o green_a grass_n be_v find_v and_o a_o air_n more_o warm_a than_o in_o nova_n zembla_n as_o be_v most_o certain_a the_o only_a animal_n peculiar_a to_o these_o northern_a region_n venison_n rhinoceros_n a_o kind_n of_o venison_n be_v the_o rhinoceros_n and_o this_o in_o the_o space_n of_o a_o month_n become_v exceed_o fat_a by_o feed_v on_o this_o grass_n nevertheless_o see_v that_o as_o yet_o not_o many_o region_n be_v hitherto_o find_v of_o this_o temperature_n in_o the_o frigid_a zone_n it_o be_v not_o expedient_a for_o we_o from_o this_o single_a example_n to_o make_v a_o general_a conjecture_n especial_o see_v that_o the_o cause_n of_o this_o peculiar_a constitution_n be_v manifest_a for_o that_o land_n be_v full_a of_o marsh_n and_o sedgey_a and_o the_o grass_n by_o which_o the_o rhinoceros_n or_o dear_a be_v tender_v so_o fat_a be_v not_o a_o kind_n of_o terrestrial_a grass_n but_o sedge_n and_o osier_n but_o other_o herb_n be_v not_o there_o find_v or_o any_o tree_n from_o whence_o we_o may_v gather_v that_o that_o land_n contain_v some_o fat_a and_o sulphureous_a substance_n which_o be_v mix_v which_o the_o water_n produce_v such_o a_o oil_n and_o fatten_v sedge_n but_o that_o the_o like_a earth_n be_v to_o be_v find_v in_o other_o part_n of_o the_o frigid_a zone_n have_v not_o as_o yet_o be_v observe_v but_o rather_o the_o contrary_n therefore_o in_o the_o winter_n in_o these_o place_n be_v little_a light_n but_o a_o incredible_a and_o great_a violence_n of_o cold_a snow_n shower_n and_o polary_a wind_n and_o this_o winter_n begin_v in_o the_o northern_a frigid_a zone_n when_o the_o sun_n first_o enter_v capricorn_n although_o also_o the_o autumn_n the_o sun_n go_v from_o the_o 1_o degree_n of_o libra_n to_o the_o 1_o of_o capricorn_n be_v little_o different_a from_o this_o violent_a winter_n the_o spring_n indeed_o be_v less_o infest_a with_o this_o violence_n of_o the_o air_n yet_o it_o be_v without_o snow_n shower_n and_o cold_a polary_a wind_n yet_o the_o increase_n of_o heat_n in_o the_o day_n or_o rather_o the_o decrease_n of_o cold_a be_v discover_v at_o that_o time_n viz._n the_o sun_n go_v from_o the_o 1_o degree_n of_o aries_n to_o the_o 1_o of_o cancer_n and_o in_o this_o vernal_a season_n or_o in_o the_o latter_a day_n of_o it_o the_o sun_n continue_v above_o the_o horizon_n in_o entire_a revolution_n and_o therefore_o then_o there_o be_v discover_v a_o moderate_a heat_n which_o yet_o be_v not_o of_o that_o force_n as_o to_o melt_v and_o dissolve_v the_o snow_n of_o all_o those_o place_n into_o water_n much_o less_o be_v it_o able_a to_o melt_v the_o ice_n whence_o mariner_n report_v that_o here_o be_v to_o be_v find_v snow_n and_o ice_n of_o a_o perpetual_a duration_n then_o the_o summer_n shall_v be_v from_o the_o go_n of_o the_o sun_n from_o the_o 1_o degree_n of_o cancer_n to_o the_o 1_o of_o libra_n in_o the_o first_o part_n of_o which_o the_o sun_n yet_o remain_v for_o whole_a day_n above_o the_o horizon_n and_o augment_v the_o heat_n by_o some_o accession_n so_o that_o june_n july_n and_o august_n be_v month_n of_o a_o tolerable_a air._n in_o some_o place_n among_o the_o mountain_n the_o heat_n of_o the_o sun_n be_v intense_a but_o the_o shower_n and_o cloud_n do_v much_o hinder_v this_o benignity_n of_o the_o sun_n and_o especial_o the_o most_o sharp_a northern_a wind_n unto_o which_o sometime_o snow_n be_v adjoin_v so_o that_o no_o fruit_n or_o corn_n can_v here_o arrive_v to_o any_o maturity_n except_o in_o some_o place_n near_o the_o arctic_a circle_n chap._n xxvii_o of_o the_o shadow_n which_o the_o body_n erect_v in_o the_o earth_n and_o illuminate_v by_o the_o sun_n do_v cast_v and_o of_o the_o division_n of_o the_o earth_n arise_v from_o thence_o see_v that_o the_o shadow_n in_o divers_a place_n of_o the_o earth_n which_o the_o illuminate_v body_n of_o the_o sun_n do_v cast_v be_v carry_v into_o divers_a place_n and_o fall_v on_o the_o sense_n have_v much_o variety_n hence_o it_o come_v to_o pass_v that_o man_n who_o be_v ignorant_a of_o this_o cause_n be_v strike_v with_o a_o admiration_n and_o in_o respect_n of_o the_o shadow_n of_o the_o earth_n divide_v the_o inhabitant_n of_o the_o earth_n as_o it_o be_v into_o three_o sort_n which_o division_n must_v be_v apply_v to_o the_o place_n of_o the_o earth_n or_o to_o its_o superficies_n so_o that_o they_o term_v some_o amphiscij_fw-la other_o heteroscij_fw-la and_o the_o rest_n periscij_fw-la the_o explication_n of_o which_o term_n see_v that_o they_o contain_v but_o small_a learning_n we_o shall_v say_v somewhat_o also_o concern_v shadow_n which_o although_o they_o do_v not_o pertain_v to_o geography_n yet_o by_o reason_n of_o their_o near_a affinity_n they_o may_v be_v propose_v in_o this_o chapter_n shadow_n of_o
place_n to_o wit_n the_o 31_o of_o december_n if_o in_o that_o place_n it_o be_v the_o first_o of_o january_n and_o saturday_n or_o the_o last_o day_n of_o the_o week_n when_o in_o this_o place_n it_o shall_v be_v sunday_n or_o the_o first_o day_n of_o a_o new_a week_n and_o if_o they_o have_v sail_v round_o the_o earth_n twice_o thrice_o or_o soin_fw-fr time_n they_o shall_v also_o reckon_v so_o many_o day_n less_o this_o be_v a_o matter_n of_o wonder_n and_o admiration_n some_o age_n ago_o to_o m●●●●_n and_o other_o but_o the_o frequency_n of_o this_o experiment_n have_v lessehen_fw-ge the_o admination_n and_o have_v administer_v occasion_n to_o mathemn●●●_n to_o 〈…〉_o the_o cause_n neither_o be_v it_o difficult_a to_o explain_v the_o same_o so_o that_o the_o motion_n of_o the_o sun_n and_o the_o meridian_n of_o the_o place_n of_o the_o earth_n be_v well_o apprehend_v and_o a_o certain_a day_n of_o the_o year_n be_v propose_v ●_o for_o it_o dependeti●●_n the_o diurual_a cir●●●voluation●_n of_o the_o sun_n not_o from_o his_o proper_a nation_n as_o some_o have_v think_v which_o we_o may_v begin_v from_o any_o circle_n but_o for_o our_o more_o easy_a understanding_n it_o be_v very_o convenient_a to_o begin_v from_o the_o meridies_n that_o the_o day_n may_v be_v the_o time_n from_o one_o meridies_n to_o the_o follow_a meridies_n or_o noon_n or_o whilst_o the_o sun_n return_v from_o the_o semicircle_n of_o one_o meridiany_n to_o the_o same_o semicircle_n therefore_o because_o that_o those_o who_o sail_n towards_o the_o east_n or_o rise_v come_v to_o those_o place_n where_o the_o sun_n first_o rise_v and_o make_v his_o meridian_n than_o in_o the_o place_n from_o whence_o they_o depart_v thence_o it_o come_v to_o pass_v that_o the_o sun_n be_v in_o the_o meridian_n of_o the_o place_n to_o which_o they_o have_v arrive_v they_o begin_v to_o reckon_v a_o new_a day_n for_o example_n the_o second_o day_n of_o january_n where_o in_o the_o place_n of_o their_o departure_n hitherto_o they_o have_v number_v the_o first_o day_n of_o january_n if_o that_o they_o set_v sail_n on_o the_o same_o and_o the_o difference_n shall_v be_v one_o or_o two_o hour_n this_o anticipation_n daily_o increase_v until_o they_o come_v towards_o the_o east_n so_o that_o it_o shall_v make_v the_o hour_n of_o half_a a_o day_n when_o they_o come_v to_o the_o opposite_a semicircle_n of_o the_o meridian_n for_o here_o they_o shall_v have_v the_o meridies_n of_o a_o new_a day_n when_o in_o the_o place_n of_o their_o set_n forth_o it_o shall_v be_v the_o midnight_n of_o the_o precede_a day_n and_o where_o they_o shall_v come_v to_o the_o meridian_n 1●_n degree_n more_o remote_a be_v in_o that_o they_o shall_v have_v the_o meridies_n 13_o hour_n soon_o than_o in_o the_o place_n of_o their_o set_n forth_o and_o when_o again_o they_o shall_v come_v to_o a_o meridian_n more_o remote_a 15_o degree_n there_o they_o shall_v have_v the_o minidies●4_n ●4_z hour_n soon_o than_o in_o the_o place_n of_o their_o set_n forth_o and_o so_o moreover_o as_o they_o shall_v come_v to_o the_o meridian_n or_o place_v more_o remote_a 15_o degree_n they_o shall_v have_v the_o meridies_n 15_o 16_o 17_o hour_n soon_o and_o shall_v begin_v to_o account_v a_o new_a day_n soon_o than_o in_o their_o place_n of_o their_o set_n forth_o so_o that_o when_o at_o length_n they_o shall_v have_v return_v to_o the_o place_n they_o shall_v then_o number_v the_o meridies_n of_o a_o new_a day_n soon_o by_o 24_o hour_n where_o in_o the_o place_n also_o the_o meridies_n be_v which_o yet_o may_v answer_v in_o number_n to_o the_o meridies_n which_o the_o mariner_n have_v the_o former_a day_n but_o it_o be_v contrary_a with_o those_o who_o sail_n towards_o the_o west_n when_o they_o return_v to_o the_o place_n from_o whence_o they_o set_v forth_o for_o by_o how_o much_o the_o more_o they_o recede_v from_o this_o place_n by_o so_o much_o the_o more_o they_o shall_v have_v the_o sun_n late_a in_o the_o meridies_n because_o they_o be_v in_o a_o more_o remote_a meridian_n and_o therefore_o do_v late_a begin_v the_o account_n of_o their_o new_a day_n than_o in_o the_o place_n whence_o they_o set_v forth_o so_o that_o this_o proposition_n take_v away_o a_o whole_a day_n in_o the_o return_n corollary_n 1._o corollary_n corollary_n if_o that_o two_o at_o the_o same_o time_n set_v forth_o from_o any_o place_n of_o the_o earth_n the_o one_o towards_o the_o east_n the_o other_o towards_o the_o west_n and_o they_o shall_v return_v both_o together_o to_o the_o same_o place_n the_o whole_a earth_n be_v sail_v about_o he_o that_o take_v his_o journey_n towards_o the_o east_n shall_v reckon_v two_o day_n more_o than_o he_o which_o take_v it_o towards_o the_o west_n and_o if_o they_o have_v sail_v the_o earth_n about_o twice_o they_o shall_v reckon_v a_o day_n more_o if_o thrice_o 6_o day_n more_o etc._n etc._n but_o the_o day_n of_o these_o be_v long_o of_o those_o short_a corollary_n 2._o the_o same_o will_v happen_v if_o that_o in_o any_o place_n of_o the_o earth_n any_o two_o meet_v one_o the_o other_o and_o from_o hence_o first_o and_o then_o often_o afterward_o be_v this_o apparent_o discover_v for_o when_o ferdinando_n magellanes_n by_o a_o direct_a course_n into_o the_o west_n have_v enter_v the_o indies_n by_o the_o strait_n denominate_v from_o he_o it_o be_v find_v out_o by_o the_o mariner_n which_o there_o meet_v with_o other_o european_n bring_v towards_o the_o east_n by_o a_o ordinary_a journey_n that_o the_o kaleudar_n or_o the_o numeration_n of_o the_o day_n differ_v a_o whole_a day_n the_o same_o have_v be_v observe_v by_o all_o which_o have_v sail_v round_o the_o earth_n when_o they_o have_v come_v into_o the_o indies_n corillary_n 10._o this_o also_o be_v the_o cause_n that_o in_o two_o near_a place_n the_o account_n of_o a_o different_a day_n 〈◊〉_d observe_v viz._n in_o the_o philippine_n isle_n and_o in_o the_o city_n of_o marrow_n on_o the_o chaste_a of_o china_n isle_n the_o day_n in_o macoa_n not_o the_o same_o as_o in_o the_o philippine_n isle_n although_o they_o lie_v under_o the_o same_o meridian_n yet_o they_o reckon_v the_o day_n of_o the_o calendar_n soon_o in_o macoa_n than_o in_o the_o philippine_n isle_n and_o that_o by_o the_o anticipation_n of_o one_o day_n so_o that_o it_o be_v sunday_n in_o moacoa_n when_o but_o saturday_n in_o the_o philippine_n isle_n the_o cause_n of_o this_o diversity_n be_v this_o that_o the_o rortu●●●_n possess_v the_o city_n of_o macoa_n come_v thither_o from_o europe_n towards_o the_o east_n by_o asseccourse_n out_o of_o india_n but_o the_o spaniard_n which_o possess_v the_o philippine_n isle_n come_v thither_o from_o europe_n towards_o the_o west_n by_o a_o set_a course_n from_o america_n therefore_o it_o be_v in_o fer_v from_o the_o precede_a corollary_n because_o here_o in_o m●●a_n and_o the_o philippines_n they_o almost_o meet_v 〈◊〉_d ●ome_v into_o the_o same_o meridian_n that_o they_o shall_v ●●ce●d_v by_o one_o day_n the_o day_n of_o the_o other_o chap._n xxx_o of_o the_o various_a rise_v set_v altitude_n of_o the_o sun_n and_o other_o appearance_n in_o the_o divers_a part_n of_o the_o earth_n proposition_n 1._o to_o place_n or_o hang_v a_o terrestrial_a globe_n so_o that_o when_o the_o sun_n shine_v those_o part_n of_o the_o globe_n may_v be_v illuminate_v which_o the_o sun_n enlighten_v in_o the_o earth_n at_o any_o time_n and_o that_o it_o also_o may_v appear_v unto_o what_o people_n the_o sun_n rise_v and_o to_o who_o it_o set_v to_o who_o it_o make_v the_o meridies_n and_o to_o who_o it_o be_v altogether_o abscond_v to_o what_o place_n it_o be_v vertical_a also_o to_o find_v the_o place_n of_o the_o sun_n in_o the_o ecliptic_a and_o the_o day_n of_o the_o year_n also_o the_o hour_n of_o the_o place_n globe_n the_o motion_n of_o the_o sun_n show_v by_o the_o globe_n let_v the_o place_n in_o which_o the_o globe_n be_v place_v be_v note_v on_o the_o globe_n and_o bring_v to_o the_o meridian_n and_o let_v a_o mark_n be_v make_v with_o a_o chalk_n on_o that_o point_n of_o the_o meridian_n therefore_o if_o the_o globe_n be_v to_o be_v hang_v by_o a_o cord_n the_o cord_n must_v be_v tie_v to_o the_o point_n of_o the_o meridian_n but_o if_o that_o it_o must_v be_v place_v firm_o in_o any_o place_n a_o iron_n pi●_n must_v be_v bring_v through_o the_o centre_n of_o the_o globe_n even_o to_o the_o opposite_a point_n and_o this_o iron_n pin_n must_v be_v close_o fix_v to_o the_o horizontal_n plain_a that_o it_o may_v remain_v immovable_a the_o globe_n must_v be_v dispose_v according_a to_o the_o four_o quarter_n of_o the_o world_n viz_o that_o the_o north_n part_n of_o the_o globe_n may_v regard_v the_o north_n part_n of_o the_o earth_n
place_n and_o situation_n and_o therefore_o very_a unlike_o figure_n arise_v thence_o in_o the_o table_n thence_o it_o come_v to_o pass_v that_o according_a to_o the_o various_a situation_n of_o the_o eye_n which_o we_o attribute_v to_o it_o without_o the_o earth_n or_o without_o that_o part_n which_o it_o ought_v to_o represent_v there_o arise_v a_o various_a representation_n of_o that_o superficies_n on_o the_o table_n for_o as_o there_o exi_v another_o sort_n of_o frontispiece_n of_o the_o wall_n of_o a_o house_n when_o the_o eye_n may_v behold_v it_o from_o a_o situation_n direct_o opposite_a another_o from_o a_o oblique_a situation_n another_o from_o a_o upper_a place_n another_o from_o a_o long_a place_n and_o so_o change_v according_a to_o the_o various_a situation_n of_o the_o eye_n which_o tutor_n may_v explain_v by_o diagram_n so_o there_o arise_v a_o different_a position_n of_o the_o part_n of_o the_o earth_n to_o be_v represent_v on_o the_o table_n if_o that_o the_o eye_n be_v so_o constitute_v or_o conceive_v in_o the_o air_n in_o such_o a_o situation_n that_o it_o may_v hang_v over_o the_o aequator_fw-la of_o the_o earth_n and_o otherwise_o if_o that_o it_o be_v suppose_v to_o exist_v in_o the_o pretend_a axis_n of_o the_o earth_n or_o in_o the_o semi-axis_n of_o the_o hemisphere_n and_o otherwise_o if_o it_o be_v conceive_v to_o be_v eminent_a over_o any_o other_o place_n of_o the_o earth_n thence_o it_o come_v to_o pass_v that_o both_o the_o aequator_fw-la and_o the_o parallel_n as_o well_o as_o the_o meridian_n obtain_v various_a representation_n because_o the_o ray_n draw_v from_o they_o exist_v in_o the_o earth_n to_o the_o eye_n perforate_v the_o table_n in_o divers_a point_n endue_v with_o a_o various_a situation_n which_o the_o reader_n may_v easy_o understand_v profitable_a the_o direction_n of_o a_o tutor_n very_o profitable_a if_o that_o they_o have_v the_o live_a information_n and_o direction_n of_o a_o tutor_n the_o other_o which_o i_o esteem_v fit_a for_o the_o reader_n consideration_n in_o this_o method_n for_o his_o better_a understanding_n be_v concern_v the_o cause_n of_o the_o variety_n in_o the_o magnitude_n of_o table_n and_o representation_n for_o we_o can_v show_v the_o same_o superficies_n of_o the_o earth_n as_o also_o of_o all_o the_o body_n of_o the_o world_n as_o temple_n house_n and_o the_o like_a on_o a_o great_a or_o small_a table_n the_o cause_n be_v twofold_a first_o by_o how_o much_o the_o eye_n be_v place_v more_o remote_a from_o the_o earth_n or_o any_o object_n by_o so_o much_o the_o representation_n receive_v the_o lesser_a magnitude_n ziz_o the_o situation_n of_o the_o table_n or_o glass_n so_o remain_v 2._o how_o much_o the_o table_n or_o glass_n in_o which_o the_o representation_n shall_v be_v make_v by_o the_o perforation_n of_o the_o ray_n be_v near_o move_v to_o the_o eye_n by_o so_o much_o the_o representation_n or_o projecture_n receive_v the_o lesser_a form_n by_o how_o much_o the_o near_o to_o the_o object_n so_o much_o the_o great_a but_o if_o the_o eye_n may_v be_v remove_v in_o any_o kind_n from_o the_o object_n the_o table_n remain_v so_o that_o it_o be_v remove_v in_o the_o same_o line_n with_o the_o centre_n of_o the_o earth_n or_o so_o that_o it_o remain_v in_o one_o perpendicular_a line_n to_o the_o superficies_n of_o the_o earth_n therefore_o the_o figure_n of_o the_o projecture_n be_v not_o change_v but_o only_o the_o magnitude_n the_o similitude_n remain_v so_o also_o if_o that_o the_o table_n be_v any_o way_n move_v to_o the_o eye_n or_o remove_v towards_o the_o object_n all_o the_o projecture_n do_v become_v of_o a_o divers_a magnitude_n yet_o they_o remain_v mutual_o alike_o and_o represent_v all_o the_o place_n in_o a_o like_a situation_n so_o that_o the_o table_n shall_v observe_v the_o parallel_n situate_v from_o the_o eye_n in_o his_o access_n and_o recess_n but_o if_o the_o table_n receive_v another_o position_n and_o also_o if_o the_o eye_n be_v not_o only_o remove_v but_o also_o recede_v from_o that_o perpendicular_a line_n than_o the_o like_a projecture_n shall_v not_o arise_v and_o the_o place_n shall_v not_o have_v the_o like_a situation_n on_o the_o earth_n but_o beside_o a_o various_a magnitude_n there_o shall_v also_o be_v a_o notable_a dissimilitude_n in_o the_o situation_n of_o the_o place_n one_o to_o the_o other_o but_o in_o the_o projecture_n of_o all_o body_n as_o also_o in_o the_o projecture_n of_o the_o superficies_n of_o the_o earth_n it_o be_v so_o wont_a to_o happen_v that_o we_o attribute_v such_o a_o situation_n to_o the_o table_n or_o glass_n that_o it_o may_v touch_v the_o body_n or_o superficies_n in_o that_o point_n to_o which_o the_o line_n draw_v be_v perpendicular_a to_o the_o superficies_n of_o the_o body_n or_o which_o be_v draw_v from_o the_o eye_n to_o the_o centre_n of_o the_o earth_n now_o to_o obtain_v the_o lesser_a or_o great_a projecture_n we_o remove_v the_o point_n of_o the_o eye_n more_o or_o less_o from_o the_o earth_n but_o then_o we_o conceive_v the_o earth_n to_o be_v very_o small_a this_o in_o general_a be_v explain_v concern_v the_o projecture_n of_o the_o earth_n and_o the_o original_a of_o geographical_a map_n we_o shall_v show_v the_o method_n of_o do_v it_o where_o first_o we_o shall_v show_v whether_o these_o table_n shall_v be_v make_v according_a to_o the_o rule_n of_o perspective_n and_o whether_o all_o may_v be_v make_v according_a to_o they_o for_o the_o end_n of_o these_o table_n or_o map_n be_v to_o the_o life_n and_o exact_o as_o may_v be_v to_o express_v the_o situation_n of_o the_o place_n in_o the_o superficies_n of_o the_o earth_n therefore_o it_o be_v demand_v and_o that_o not_o unadvised_o whether_o this_o may_v be_v do_v by_o another_o method_n which_o observe_v not_o the_o rule_n of_o perspective_n for_o whether_o it_o be_v do_v according_a to_o the_o rule_n of_o perspective_n or_o contrary_a to_o they_o so_o that_o it_o exact_o represent_v the_o situation_n of_o the_o place_n the_o table_n shall_v be_v account_v to_o be_v well_o do_v to_o that_o i_o answer_v that_o although_o certain_a table_n of_o some_o small_a province_n may_v be_v make_v and_o be_v also_o make_v by_o another_o method_n to_o wit_n by_o angle_n of_o position_n or_o also_o by_o distance_n as_o we_o shall_v show_v in_o the_o last_o place_n yet_o in_o a_o great_a part_n of_o the_o superficies_n of_o the_o earth_n it_o can_v be_v perform_v by_o a_o more_o commodious_a method_n than_o by_o the_o rule_n of_o perspective_n although_o the_o true_a situation_n of_o the_o place_n may_v not_o be_v represent_v in_o the_o table_n make_v according_a to_o these_o rule_n map_n thing_n to_o be_v know_v about_o the_o make_n of_o these_o map_n for_o we_o must_v know_v that_o in_o make_v of_o these_o map_n we_o must_v attend_v to_o a_o threefold_a end_n 1._o that_o all_o the_o place_n must_v have_v such_o a_o situation_n and_o distance_n to_o the_o chief_a circle_n of_o the_o earth_n as_o the_o aequator_fw-la the_o parallel_n the_o meridian_n as_o they_o have_v in_o the_o earth_n itself_o so_o that_o from_o those_o table_n the_o parallel_n of_o every_o place_n the_o distance_n from_o the_o aequator_fw-la from_o the_o pole_n the_o zone_n the_o climate_n etc._n etc._n may_v be_v behold_v because_o that_o from_o thence_o many_o property_n of_o the_o region_n and_o celestial_a appearance_n do_v depend_v 2._o that_o the_o magnitude_n of_o every_o region_n may_v have_v that_o proportion_n that_o they_o have_v in_o the_o earth_n itself_o 3._o that_o every_o place_n may_v have_v the_o same_o situation_n to_o the_o other_o mutual_o which_o they_o have_v in_o the_o earth_n itself_o of_o these_o three_o requisite_n all_o map_n or_o table_n ought_v exact_o to_o perform_v the_o first_o and_o for_o the_o most_o part_n exact_o do_v because_o they_o be_v make_v from_o the_o table_n of_o latitude_n and_o longitude_n of_o place_n neither_o do_v the_o rule_n of_o perspective_n hinder_v the_o same_o but_o for_o the_o second_o they_o can_v accurate_o perform_v the_o same_o if_o that_o the_o rule_n of_o perspective_n be_v observe_v because_o the_o crooked_a path_n of_o the_o superficies_n be_v more_o remote_a from_o the_o eye_n make_v the_o representation_n lesser_a in_o the_o glass_n than_o those_o part_n subject_v to_o the_o eye_n but_o yet_o that_o inequality_n be_v small_a and_o become_v insensible_a if_o that_o the_o eye_n be_v conceive_v to_o be_v remote_a a_o infinite_a interval_n from_o the_o earth_n but_o the_o three_o requisite_a can_v be_v perform_v by_o no_o large_a table_n such_o be_v those_o of_o the_o whole_a earth_n also_o those_o of_o the_o 4_o quar_fw-la of_o the_o earth_n and_o the_o great_a province_n although_o they_o may_v accomplish_v it_o in_o the_o lesser_a region_n and_o the_o vulgar_a suppose_n
malta_n marzasirocco_n vallett●_n il_fw-fr borgo_n madalena_n medina_n st._n maria_n meleca_n st._n maria_n loret●●_n rodumifessa_n goza_n goza_n cast_v scilendo_n cumin_fw-la cumin_fw-la forfala_n gamelera_n chercura_n lampedusa_n limosa_fw-la panthalaria_fw-la galata_n albusama_n in_o the_o occidental_a or_o atlantic_a ocean_n as_o on_o the_o coast_n of_o morocco_z as_o the_o isle_n of_o madera_n tonzal_n sancta_fw-la cr●●_n porto_n sancto_n the_o canary_n isle_n or_o isle_n of_o forteventura_n forteventura_n chabras_n lanegala_n lancellotta_n lancellotra_fw-mi porto_n de_fw-fr cavallos_n grand_fw-fr canaria_n canaris_fw-la tedele_n arginogy_n teneriffe_n laguna_n st._n crux_fw-la gomer_n gomer_n fer_fw-fr hierro_n palma_n palma_n st._n andre_n the_o isle_n seat_v about_o those_o of_o the_o canary_n graclosa_n alegria_n st._n clara_n rocco_n savages_n the_o isle_n of_o cape_n verd_fw-mi or_o the_o isle_n of_o st._n antonio_n st._n vincent_n st._n lucia_n st._n nicholas_n salt_n bonavista_n mayo_n fuego_n brava_fw-it st._n jago_n st._n jago_n ribera_n grande_n in_o the_o meridional_a of_o aethiopian_a ocean_n as_o between_o guiny_n and_o the_o low_a aethiopia_n where_o be_v the_o isle_n of_o st._n thomas_n pavoasan_n prince_n anncabon_n st._n matthew_n assension_n st._n helena_n perdinando_n po_n tristan_n the_o cunha_n goncalo_n alvarer_n on_o the_o coast_n of_o zanguebar_v as_o the_o isle_n of_o madagascar_n or_o st._n laurence_n ving●gora_n tombaja_n st._n andrew_n cacambout_n port_n of_o st._n vincent_n st._n anthony_n st._n augustine_n boamarage_n angoada_n the_o isle_n seat_v about_o the_o isle_n of_o madagascar_n and_o in_o the_o sea_n of_o zanguebar_v particular_o so_o call_v among_o which_o be_v those_o of_o zocotora_n penda_fw-la zanzibara_n sanctus_n rochus_n monfia_n st._n christopher_n st._n esprite_n comerae_fw-la aliadorae_fw-la syrtium_fw-la nona_fw-la baixos_n st._n anthony_n st._n maria_n radix_fw-la st._n maurice_n mascarenhae_n diego_n roix_n johannis_n de_fw-fr lisbo●_n sancta_fw-la clara_n sancta_fw-la just●●_n or_o juliani_n st._n james_n st._n vincent_n in_o the_o red_a sea_n or_o sea_n of_o mecque_n and_o on_o the_o coast_n of_o the_o high_a aethiopia_n as_o the_o isle_n of_o bahia_n cabras_n suaquem_n miri_fw-la meger_n maczuam_fw-la balaccia_n st._n pi●tr●_n the_o isle_n of_o madagascar_n or_o st._n laurence_n breadth_n isle_n of_o madagascar_n with_o its_o length_n and_o breadth_n the_o isle_n of_o madagascar_n or_o st._n laurence_n be_v much_o great_a than_o any_o about_o africa_n if_o not_o the_o great_a of_o both_o continent_n it_o stretch_v itself_o from_o a_o little_a on_o this_o side_n the_o 12_o unto_o a_o little_a beyond_o the_o 26_o degree_n of_o meridional_a latitude_n which_o be_v more_o than_o 14_o degree_n of_o latitude_n but_o slope_v from_o north_n north-west_n to_o south_n southeast_n it_o be_v from_o cape_n st._n sebastian_n to_o that_o of_o st._n romain_n about_o 400_o league_n long_o it_o be_v breadth_n ought_v to_o be_v consider_v at_o twice_o in_o that_o part_n near_a the_o equator_fw-la it_o be_v 60_o or_o 75_o league_n broad_a in_o that_o part_n towards_o the_o south_n the_o least_o breadth_n pass_v 120_o and_o stretch_v sometime_o to_o 150_o league_n trade_n its_o commodity_n and_o trade_n our_o last_o relation_n say_v that_o it_o have_v mine_n of_o gold_n silver_n copper_n iron_n rock_n of_o crystal_n and_o excellent_a white_a marble_n that_o there_o be_v find_v emerald_n saphire_n etc._n etc._n many_o sort_n of_o gum_n and_o rozin_n especial_o great_a store_n of_o that_o gum_n which_o the_o druggist_n call_v dragon_n blood_n which_o they_o extract_v out_o of_o the_o flower_n of_o a_o certain_a tree_n which_o grow_v there_o they_o have_v also_o talque_fw-fr cotton_n indigo_n sugar_n cane_n saunders_n ebony_n ivory_n honey_n wax_n hides_n their_o ground_n yield_v salt_n salt-peter_n and_o in_o most_o place_n grain_n and_o upon_o their_o sea_n coast_n be_v find_v abundance_n of_o ambergreese_v and_o for_o these_o and_o several_a other_o commodity_n that_o be_v here_o find_v be_v bring_v they_o in_o exchange_n coral_n paternosters_a chain_n bead_n bracelet_n glass-pendant_n and_o divers_a toy_n etc._n etc._n abode_n it_o be_v people_n and_o their_o abode_n its_o inhabitant_n be_v for_o the_o most_o part_n black_a or_o very_o tawny_a and_o some_o white_a which_o in_o all_o appearance_n come_v from_o asia_n they_o be_v of_o a_o good_a stature_n and_o well_o shape_v be_v very_o tractable_a and_o courteous_a to_o stranger_n and_o more_o especial_o to_o the_o french_a than_o any_o other_o european_n be_v addict_v to_o idleness_n and_o not_o care_v to_o cultivate_v the_o earth_n their_o clothing_n be_v only_o a_o piece_n of_o cotton-cloth_n of_o several_a colour_n which_o they_o fasten_v about_o their_o middle_n and_o hang_v down_o to_o their_o knee_n and_o on_o their_o head_n a_o cap_n make_v of_o the_o bass_n of_o a_o tree_n beside_o which_o they_o adorn_v themselves_o about_o their_o neck_n arm_n leg_n etc._n etc._n with_o those_o toy_n aforesaid_a their_o feed_v be_v exceed_o gross_a their_o house_n be_v no_o better_a than_o hog-sty_n or_o little_a hut_n make_v of_o branch_n of_o tree_n except_o those_o of_o their_o prince_n which_o be_v make_v of_o wood_n but_o of_o no_o large_a size_n nor_o over_o handsome_a they_o lie_v upon_o mat_n and_o their_o cloth_n which_o they_o wear_v about_o they_o in_o the_o day_n serve_v for_o a_o coverlid_n in_o the_o night_n they_o be_v heathenish_a and_o give_v to_o adoration_n some_o say_v they_o adore_v the_o devil_n use_v sacrifice_n which_o they_o do_v in_o the_o wood_n not_o have_v church_n they_o have_v no_o civil_a form_n of_o government_n but_o he_o that_o can_v make_v the_o great_a party_n and_o have_v the_o great_a family_n be_v in_o most_o esteem_n and_o command_v to_o which_o end_n they_o have_v as_o many_o wife_n as_o they_o can_v keep_v to_o increase_v their_o progeny_n cattle_n the_o isle_n very_o plentiful_a of_o cattle_n they_o have_v a_o great_a number_n of_o ox_n sheep_n kid_n hen_n of_o divers_a sort_n and_o quantity_n of_o rice_n they_o make_v wine_n with_o honey_n and_o certain_a root_n which_o be_v so_o strong_a that_o they_o be_v frequent_o drink_v with_o it_o they_o have_v for_o the_o most_o part_n those_o beast_n that_o be_v find_v among_o we_o but_o yet_o all_o with_o some_o difference_n their_o ox_n have_v between_o their_o neck_n and_o shoulder_n a_o great_a lump_n of_o fat_a which_o they_o esteem_v excellent_a their_o sheep_n have_v their_o tail_n 20_o inch_n about_o and_o as_o much_o in_o length_n their_o goat_n be_v very_o high_a and_o their_o hog_n little_a they_o have_v salamander_n chameleon_n of_o divers_a colour_n ape_n of_o many_o kind_n and_o believe_v that_o these_o ape_n will_v speak_v but_o for_o fear_v they_o shall_v be_v compel_v to_o labour_v they_o have_v crocodile_n and_o tortoise_n of_o which_o some_o have_v their_o shell_n so_o great_a that_o they_o will_v cover_v 10_o or_o 12_o person_n and_o they_o find_v sometime_o 5_o or_o 600_o of_o their_o egg_n as_o big_a as_o hen_n egg_n their_o flesh_n be_v delicate_a and_o fat_a in_o taste_n resemble_v veal_n they_o have_v other_o tortoise_n which_o be_v only_o 3_o or_o 4_o foot_n diameter_n and_o their_o shell_n be_v polish_v be_v figure_v with_o divers_a colour_n of_o which_o they_o make_v cabinet_n little_a box_n and_o other_o pretty_a movable_n esteem_v in_o the_o indies_n and_o in_o europe_n fowl_n their_o fowl_n their_o pheasant_n be_v strong_a and_o fair_a than_o we_o their_o partridge_n big_a and_o of_o divers_a colour_n they_o have_v paroquet_n as_o big_a as_o crow_n and_o black_a another_o middle_a sort_n and_o some_o as_o little_a as_o our_o lark_n the_o one_o and_o the_o other_o of_o divers_a colour_n they_o have_v singing-bird_n not_o yield_v to_o those_o of_o the_o canary_n their_o bee_n be_v little_a their_o honey_n excellent_a their_o aunt_n fly_v and_o leave_v on_o the_o bush_n where_o they_o light_v a_o white_a gum_n which_o they_o use_v instead_o of_o glue_v their_o colibri_fw-la or_o fly-bird_n scarce_o weigh_v two_o bee_n so_o little_o be_v it_o feed_v only_o on_o the_o dew_n it_o suck_v from_o flower_n they_o catch_v in_o their_o sea_n a_o infinite_a quantity_n of_o fish_n among_o other_o skates_n so_o great_a that_o they_o be_v able_a to_o satisfy_v 300_o person_n one_o meal_n their_o date-tree_n supply_v they_o with_o drink_n their_o orchard_n with_o fruit_n their_o cotton_n with_o whereof_o to_o make_v thread_n and_o stuff_n for_o clothe_v their_o indigo_n with_o a_o blue_a colour_n their_o tamarind_n refresh_v they_o their_o rape_n or_o balasier_n black_n their_o tooth_n which_o by_o they_o be_v esteem_v a_o great_a beauty_n they_o gather_v aloe_n from_o several_a tree_n one_o of_o the_o principal_a riches_n of_o the_o country_n be_v ebony_n both_o for_o its_o beauty_n smoothness_n and_o black_a colour_n and_o for_o the_o flame_n and_o odour_n it_o yield_v in_o
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 2●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 th●●●●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 ●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
author_n for_o the_o confirmation_n thereof_o do_v use_n they_o propose_v so_o obscure_o and_o confuse_o that_o they_o can_v compel_v or_o convince_v a_o obstinate_a and_o pertinacious_a defender_n of_o the_o contrary_a opinion_n we_o therefore_o as_o much_o as_o may_v be_v will_v most_o clear_o set_v forth_o those_o very_a opinion_n and_o examine_v they_o that_o the_o reader_n may_v have_v a_o distinct_a knowledge_n thereof_o round_o reason_n to_o prove_v the_o earth_n round_o first_o i_o reject_v the_o slight_a reason_n or_o argument_n which_o be_v probable_a or_o rather_o sophistical_a first_o the_o spheric_a figure_n be_v most_o capacious_a therefore_o the_o earth_n ought_v to_o have_v such_o a_o kind_n of_o figure_n second_o all_o the_o part_n of_o the_o earth_n tend_v to_o the_o same_o centre_n therefore_o all_o those_o part_n make_v a_o round_a figure_n three_o when_o as_o in_o the_o creation_n the_o water_n as_o yet_o be_v confuse_o mix_v with_o the_o earth_n without_o doubt_n the_o earth_n be_v moist_a and_o soft_a but_o the_o figure_n or_o shape_n of_o liquid_a thing_n be_v round_o or_o spherical_a therefore_o such_o also_o the_o figure_n of_o the_o earth_n remain_v after_o the_o separation_n of_o the_o moist_a from_o the_o dry_a these_o and_o the_o like_a argument_n be_v slight_v let_v we_o view_v and_o consider_v the_o strong_a and_o most_o solid_a there_o be_v but_o one_o argument_n of_o one_o and_o the_o first_o kind_n which_o be_v take_v à_fw-la priori_fw-la but_o the_o other_o two_o kind_n be_v take_v à_fw-la posteriori_fw-la to_o wit_n some_o argument_n be_v take_v from_o the_o celestial_a appearance_n some_o again_o from_o they_o which_o we_o either_o observe_v in_o the_o earth_n or_o in_o heaven_n as_o for_o the_o first_o argument_n conclude_v à_fw-la priori_fw-la it_o be_v take_v from_o the_o nature_n of_o water_n and_o this_o demonstration_n be_v wont_a to_o be_v take_v either_o from_o aristotle_n or_o archimedes_n aristotle_n in_o his_o second_o book_n de_fw-fr coelo_fw-la chap._n 5._o have_v propose_v his_o demonstration_n in_o these_o very_a word_n round_o the_o superficies_n of_o the_o water_n round_o it_o shall_v manifest_o appear_v that_o the_o superficies_n or_o surface_n of_o the_o water_n be_v round_o if_o we_o shall_v take_v the_o supposition_n that_o water_n of_o its_o own_o nature_n make_v its_o confluence_n always_o to_o a_o hollow_a place_n and_o that_o that_o place_n be_v more_o concavous_a which_o be_v near_o the_o centre_n therefore_o from_o the_o centre_n a_o let_v the_o strait_a line_n a_o b_o and_o a_o g_o be_v draw_v and_z from_z b_o unto_z g_z let_v the_o line_n b_o g_o be_v draw_v scheme_n see_v scheme_n unto_o which_o from_o a_o let_v a_o perpendicular_a line_n a_o d_o be_v draw_v into_o e._n it_o be_v manifest_a therefore_o that_o the_o line_n a_o d_o be_v less_o than_o the_o line_n a_o b_o and_z a_o g_z by_o the_o 18_o of_o the_o first_o book_n of_o euclid_n element_n geometrical_a therefore_o this_o place_n d_o be_v more_o concavous_a wherefore_o the_o water_n shall_v flow_v from_o b_o and_z g_z until_o the_o line_n a_o b_o a_o d_o a_o g_o may_v be_v equal_a but_o a_o e_o be_v equal_a to_o a_o b_o a_o g_o therefore_o it_o must_v needs_o be_v that_o the_o very_a water_n shall_v be_v in_o these_o line_n which_o be_v draw_v in_o the_o centre_n this_o part_n of_o the_o demonstration_n be_v clear_o know_v but_o a_o e_o etc._n etc._n make_v nothing_o for_o the_o demonstration_n but_o that_o line_n which_o touch_v they_o which_o be_v draw_v from_o the_o centre_n be_v the_o circumference_n therefore_o the_o superficies_n of_o the_o water_n which_o true_o be_v b_o e_o g_o be_v round_o note_v thing_n to_o be_v note_v this_o be_v aristotle_n demonstration_n in_o which_o beside_o the_o confuse_a and_o evil_a composure_n thereof_o these_o thing_n i_o observe_v first_o that_o it_o suppose_v some_o centre_n of_o the_o whole_a universe_n second_o that_o it_o take_v the_o place_n more_o or_o less_o bend_v down_o in_o regard_n of_o that_o centre_n for_o he_o which_o shall_v deny_v the_o shape_n or_o figure_n of_o the_o earth_n to_o be_v spherical_a will_v call_v these_o thing_n into_o question_n yet_o the_o first_o may_v be_v sufficient_o concern_v the_o centre_n of_o the_o universe_n prove_v or_o correct_v for_o we_o must_v say_v that_o either_o the_o star_n be_v wheel_v round_o about_o by_o a_o diurnal_a motion_n or_o that_o the_o earth_n be_v turn_v round_o about_o its_o own_o centre_n for_o this_o the_o apparent_a motion_n of_o the_o star_n force_v and_o cause_v if_o the_o star_n than_o that_o point_n about_o which_o they_o be_v turn_v shall_v be_v the_o centre_n of_o the_o universe_n if_o the_o earth_n than_o the_o middle_a point_n of_o the_o earth_n or_o that_o about_o which_o it_o be_v turn_v shall_v be_v take_v in_o the_o demonstration_n for_o the_o central_n point_n of_o aristotle_n but_o the_o chief_a difficulty_n lie_v in_o the_o second_o supposition_n to_o wit_n that_o the_o lesser_a or_o great_a declivity_n or_o bend_v downward_o aught_o to_o be_v consider_v in_o respect_n of_o that_o centre_n for_o he_o which_o will_v defend_v the_o superficies_n of_o the_o water_n to_o be_v plain_a and_o of_o another_o figure_n he_o will_v deny_v this_o supposition_n and_o will_v say_v that_o the_o declivity_n must_v be_v consider_v according_a to_o our_o sense_n to_o wit_n in_o respect_n of_o our_o horizontal_n plain_a according_a to_o which_o the_o earth_n with_o infinite_a space_n be_v extend_v into_o profundity_n or_o else_o he_o will_v define_v the_o declivity_n in_o another_o manner_n and_o thus_o this_o demonstration_n conclude_v nothing_o at_o all_o unless_o it_o be_v grant_v that_o the_o declivity_n of_o the_o place_n of_o the_o earth_n must_v be_v take_v in_o respect_n of_o that_o centre_n about_o which_o the_o daily_a apparent_a motion_n of_o the_o celestial_a body_n be_v perform_v which_o thing_n although_o it_o may_v be_v true_a and_o all_o other_o definition_n of_o declivity_n according_a to_o which_o the_o water_n may_v be_v move_v may_v also_o be_v confute_v yet_o notwithstanding_o it_o can_v scarce_o be_v admit_v for_o a_o principle_n see_v that_o it_o in_o a_o manner_n suppose_v the_o figure_n of_o the_o earth_n to_o be_v spherical_a aristotle_n archimedes_n his_o demonstration_n by_o some_o prefer_v before_o those_o of_o aristotle_n other_o therefore_o prefer_v archimedes_n his_o demonstration_n before_o this_o of_o aristotle_n which_o be_v find_v in_o his_o first_o book_n concern_v those_o thing_n that_o be_v carry_v in_o the_o water_n this_o indeed_o be_v more_o artificial_a than_o that_o of_o aristotle_n yet_o it_o be_v oppress_v with_o the_o same_o difficulty_n forasmuch_o as_o it_o suppose_v the_o spherical_a figure_n of_o the_o earth_n and_o its_o centre_n in_o respect_n of_o which_o it_o take_v the_o depression_n of_o the_o water_n we_o will_v bring_v hither_o some_o argument_n frame_v from_o those_o that_o be_v take_v from_o celestial_a appearance_n first_o let_v we_o conceive_v the_o meridian_n line_n of_o our_o place_n or_o of_o any_o point_n of_o b_o in_o the_o earth_n scheme_n see_v scheme_n or_o a_o section_n of_o the_o earth_n make_v in_o plane_n which_o through_o the_o pole_n of_o the_o world_n m_o n_n pass_v through_o a_o b_o c_o d_o this_o line_n be_v usual_o call_v the_o latitude_n of_o the_o earth_n and_o the_o line_n which_o be_v draw_v perpendicular_a to_o this_o be_v name_v the_o longitude_n of_o the_o earth_n or_o another_o plain_a parallel_n to_o the_o celestial_a equator_fw-la make_v in_o the_o earth_n the_o line_n e_o b_o f_o c._n i_o say_v as_o well_o the_o line_n a_o b_o c_o d_o as_o the_o line_n e_o b_o f_o c_o in_o the_o earth_n to_o be_v circular_a but_o it_o be_v a_o geometrical_a thorem_fw-la if_o any_o superficies_n according_a to_o one_o dimension_n be_v cut_v through_o any_o point_n and_o the_o section_n be_v make_v in_o the_o periphery_a or_o circumference_n of_o the_o circle_n then_o according_a to_o the_o other_o dimension_n through_o the_o same_o point_n the_o section_n be_v make_v in_o plain_a which_o be_v perpendicular_a to_o the_o former_a plain_n and_o the_o section_n again_o be_v make_v in_o the_o periphery_a of_o the_o circle_n that_o superficies_n be_v spherical_a therefore_o because_o we_o have_v take_v the_o point_n b_o in_o the_o superficies_n of_o the_o earth_n according_a to_o our_o own_o pleasure_n and_o have_v show_v the_o section_n a_o b_o c_o d_o and_o e_o b_o f_o c_o to_o be_v the_o periphery_n of_o the_o circle_n body_n the_o earth_n a_o spherical_a body_n therefore_o by_o the_o aforesaid_a theorem_n we_o conclude_v that_o the_o superficies_n of_o the_o earth_n be_v spherical_a and_o that_o the_o earth_n be_v a_o spherical_a body_n circular_a the_o section_n of_o the_o earth_n according_a to_o the_o dimension_n
of_o the_o latitude_n from_o one_o pole_n to_o another_o be_v circular_a furthermore_o that_o the_o section_n of_o the_o earth_n according_a to_o the_o dimension_n of_o the_o latitude_n from_o one_o pole_n to_o another_o a_o b_o c_o d_o be_v circular_a be_v prove_v by_o many_o celestial_a appearance_n first_o if_o this_o line_n a_o b_o c_o d_o any_o place_n whatsoever_o be_v take_v in_o b_o some_o man_n go_v forward_o towards_o either_o pole_n m_n or_o towards_o the_o star_n near_o it_o he_o observe_v by_o his_o progress_v make_v equal_o that_o he_o approach_v equal_o to_o the_o pole_n but_o this_o can_v not_o be_v do_v unless_o the_o line_n of_o his_o journey_n b_o a_o c_o d_o be_v circular_a and_o it_o be_v commodious_o show_v by_o the_o artificial_a terrestrial_a globe_n second_o because_o a_o b_o c_o d_o be_v the_o meridian_n line_n into_o which_o when_o the_o sun_n come_v it_o be_v midday_n to_o we_o and_o to_o all_o people_n dwell_v in_o this_o line_n a_o b_o c_o experience_n witness_v that_o the_o sun_n in_o the_o line_n a_o b_o c_o do_v perpendicular_o hang_v over_o any_o place_n to_o wit_n in_o the_o torrid_a zone_n for_o example_n p_o and_o if_o we_o take_v equal_a space_n equal_a to_o b_o q_n q_o p_o we_o shall_v perceive_v that_o the_o distance_n of_o the_o sun_n from_o the_o vertex_fw-la or_o top_n of_o q_o be_v equal_a to_o the_o excess_n of_o the_o distance_n of_o the_o sun_n from_o the_o vertex_fw-la of_o b_o above_o the_o distance_n from_o the_o vertical_a point_n of_o q_o which_o can_v by_o no_o mean_n be_v accomplish_v unless_o the_o line_n b_o p_o q_o be_v circular_a three_o the_o same_o be_v the_o reason_n of_o all_o the_o star_n which_o when_o they_o come_v into_o the_o meridian_n a_o b_o c_o their_o distance_n from_o the_o vertex_n p_o qui_fw-fr b_o have_v the_o same_o reason_n as_o the_o distance_n pq_n p_o b_o q_o p._n so_o when_o our_o mariner_n sail_v towards_o the_o south_n the_o star_n which_o before_o be_v not_o conspicuous_a become_v high_o and_o more_o manifest_a to_o the_o eye_n according_a to_o the_o proportion_n of_o their_o sail_v four_o so_o if_o many_o star_n be_v take_v and_o the_o place_n of_o the_o earth_n through_o who_o zenith_n they_o pass_v in_o one_o meridian_n you_o shall_v perceive_v that_o the_o distance_n of_o these_o place_n have_v the_o same_o proportion_n among_o themselves_o as_o the_o distance_n of_o the_o point_n of_o the_o meridian_n in_o which_o those_o star_n keep_v their_o noon_n or_o full_a so●th_n point_n now_o forasmuch_o as_o belong_v to_o the_o longitude_n of_o the_o earth_n for_o example_n e_o b_o f_o c_o that_o be_v also_o circular_a and_o that_o the_o earth_n have_v a_o spherical_a tumour_n or_o swell_a according_a to_o this_o dimension_n star_n of_o the_o rise_n and_o set_v of_o the_o star_n be_v prove_v by_o that_o because_o the_o sun_n and_o star_n do_v soon_o by_o a_o great_a deal_n rise_v to_o those_o people_n which_o live_v from_o we_o towards_o the_o east_n than_o to_o we_o and_o do_v also_o soon_o set_v to_o they_o than_o to_o we_o but_o to_o they_o that_o dwell_v from_o we_o westward_n contrariwise_o they_o rise_v and_o set_v late_a than_o to_o we_o and_o indeed_o according_a to_o that_o proportion_n of_o time_n which_o the_o distance_n of_o the_o meridian_n of_o those_o place_n have_v from_o our_o meridian_n so_o if_o two_o place_n be_v take_v from_o we_o to_o wit_n the_o distance_n of_o one_o meridian_n towards_o the_o east_n 225_o mile_n the_o distance_n of_o the_o other_o 450_o then_o we_o shall_v find_v that_o in_o this_o place_n the_o sun_n rise_v two_o hour_n soon_o than_o with_o we_o but_o in_o the_o other_o place_n it_o rise_v but_o one_o hour_n soon_o than_o in_o we_o the_o argument_n become_v more_o clear_a if_o this_o theorem_n be_v propose_v of_o the_o sun_n come_v to_o the_o meridian_n of_o divers_a place_n sun_n of_o the_o rise_n of_o the_o sun_n for_o indeed_o look_v what_o be_v the_o account_n of_o the_o distance_n of_o 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a_o spire_n of_o a_o steeple_n as_o be_v declare_v by_o the_o obscuration_n of_o the_o moon_n but_o if_o we_o deal_v rigid_o the_o argument_n take_v from_o the_o spherical_a roundness_n of_o the_o earth_n from_o the_o view_n and_o consideration_n of_o the_o earth_n be_v these_o follow_v first_o again_o again_o from_o the_o sail_v round_o the_o earth_n because_o our_o man_n of_o europe_n hoist_v sail_n eight_o time_n from_o europe_n with_o a_o direct_a journey_n to_o the_o west_n and_o south_n even_o unto_o the_o strait_n of_o magellan_n afterward_o to_o the_o west_n and_o north_n they_o return_v again_o from_o the_o east_n into_o europe_n and_o all_o those_o appearance_n happen_v to_o they_o which_o arise_v from_o the_o property_n of_o the_o globe_n which_o sure_o have_v not_o be_v do_v if_o the_o earth_n have_v not_o be_v round_o and_o certain_o upon_o the_o supposition_n of_o that_o figure_n of_o the_o earth_n all_o those_o circumnavigation_n be_v ground_v which_o therefore_o have_v not_o take_v such_o happy_a success_n if_o the_o form_n have_v be_v otherwise_o second_o furthermore_n furthermore_n when_o either_o by_o sea_n or_o land_n we_o take_v our_o departure_n from_o high_a tower_n and_o mountain_n than_o the_o low_a part_n thereof_o be_v abscond_v from_o we_o and_o by_o degree_n more_o and_o more_o till_o at_o last_o the_o very_a top_n thereof_o be_v quite_o take_v from_o our_o sight_n in_o the_o same_o manner_n when_o as_o for_o a_o long_a distance_n we_o come_v to_o a_o tower_n or_o mountain_n first_o the_o top_n present_v itself_o to_o our_o view_n than_o the_o inferior_a part_n till_o at_o last_o through_o our_o near_a distance_n the_o foot_n thereof_o be_v see_v and_o this_o increase_n of_o apparition_n and_o occultation_n be_v altogether_o make_v according_a to_o such_o a_o proportion_n as_o the_o spherical_a tumour_n or_o swell_a of_o the_o earth_n be_v able_a to_o make_v neither_o can_v it_o be_v explicate_v by_o any_o other_o figure_n the_o diagram_n will_v make_v the_o proposition_n more_o clear_a three_o because_o that_o the_o measure_v the_o height_n of_o mountain_n or_o great_a hill_n which_o be_v ground_v upon_o the_o hypothesis_n of_o the_o globous_a form_n of_o the_o earth_n be_v find_v by_o experience_n to_o agree_v with_o a_o real_a truth_n of_o the_o thing_n itself_o earth_n further_a reason_n to_o prove_v the_o rotundity_n of_o the_o earth_n furthermore_o that_o we_o may_v draw_v together_o the_o whole_a number_n of_o these_o argument_n take_v à_fw-la posteriori_fw-la into_o one_o sum_n although_o they_o may_v be_v handle_v geometrical_o but_o that_o business_n will_v be_v of_o great_a labour_n and_o difficulty_n for_o it_o must_v be_v demonstrate_v that_o this_o or_o that_o different_a property_n be_v put_v that_o the_o line_n be_v circular_a
moon_n from_o the_o earth_n it_o be_v worthy_a observation_n that_o the_o half_a diameter_n of_o the_o earth_n be_v the_o measure_n of_o all_o celestial_a dimension_n as_o well_o in_o assign_v the_o distance_n of_o the_o planet_n from_o the_o earth_n and_o from_o themselves_o as_o in_o number_v and_o compute_v their_o magnitude_n so_o we_o say_v that_o the_o sun_n be_v distant_a from_o the_o earth_n ubout_fw-fr 1200_o half_a diameter_n the_o moon_n 40_o etc._n etc._n but_o see_v in_o geography_n we_o do_v not_o only_o consider_v the_o great_a circle_n of_o the_o earth_n as_o the_o equator_fw-la etc._n etc._n but_o also_o the_o parallel_n of_o the_o equator_fw-la therefore_o we_o must_v likewise_o determine_v how_o many_o mile_n or_o perch_n answer_v one_o degree_n in_o every_o parallel_n we_o have_v take_v the_o account_v of_o the_o perch_v out_o of_o snellius_n but_o i_o myself_o have_v reckon_v up_o the_o mile_n to_o wit_n 1900_o perch_n for_o a_o german_a mile_n 1500_o for_o a_o belgic_a or_o holland_n mile_n 475_o for_o a_o italian_a mile_n a_o table_n of_o the_o quantity_n of_o one_o degree_n in_o every_o parallel_n the_o degree_n in_o which_o the_o parallel_n be_v distant_a from_o the_o equator_fw-la or_o the_o elevation_n of_o the_o pole_n of_o the_o parallel_n equator_fw-la of_o the_o perch_n of_o one_o degree_n holland_n mile_n german_n italian_n the_o latitude_n of_o a_o perch_n of_o one_o degree_n holland_n mile_n german_n italian_n  _fw-fr  _fw-fr mil._n per._n mile_n min._n mile_n min._n  _fw-fr  _fw-fr mil._n per._n mile_n min._n mile_n min._n  _fw-fr 28500_o 19_o 0_o 15._o 0_o 60._o 0_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr 1_o 28496_o 18._o 1496_o 14._o 59_o 59_o 56_o 46_o 19798_o 13._o 298_o 10._o 25_o 41._o 40_o 2_o 28483_o 18._o 1483_o 14._o 59_o 59_o 55_o 47_o 19437_o 13._o 0_o ●0_n 14_o 41._o 0_o 3_o ●8461_n 18._o 1461_o 14._o 58_o 59_o 52_o 48_o 19070_o 12._o 1070_o 10._o 2_o 40._o 8_o 4_o 28431_o 18._o 1431_o 14._o 57_o 59_o 50_o 49_o 18698_o 12._o 698_o 9_o 50_o 39_o 20_o 5_o 28392_o 18._o 1392_o 14._o 56_o 59_o 46_o 50_o 18319_o 12._o 319_o 9_o 38_o 38._o 32_o 6_o 28344_o 18._o 1344_o 14._o 55_o 59_o 40_o 51_o 17936_o 11._o 1436_o 9_o 26_o 37._o 44_o 7_o 28288_o 18._o 1288_o 14._o 53_o 59_o 37_o 52_o 17546_o 11._o 1046_o 9_o 14_o 37._o 0_o 8_o 28223_o 18._o 1223_o 14._o 51_o 59_o 24_o 53_o 17152_o 11._o 652_o 9_o 2_o 36._o 8_o 9_o 28149_o 18._o 1149_o 14._o 48_o 59_o 12_o 54_o 16752_o 11._o 252_o 8._o 49_o 35._o 26_o 10_o 28067_o 18._o 1067_o 14._o 46_o 59_o 4_o 55_o 16347_o 10._o 1347_o 8._o 36_o 34._o 24_o 11_o 27976_o 18._o 976_o 14._o 43_o 58._o 52_o 56_o 15932_o 10._o 937_o 8._o 23_o 33._o 32_o 12_o 27877_o 18._o 877_o 14._o 40_o 58._o 40_o 57_o 15522_o 10._o 522_o 8._o 10_o 32._o 40_o 13_o 27769_o 18._o 769_o 14._o 37_o 58._o 28_o 58_o 15103_o 10._o 103_o 7._o 57_o 31._o 40_o 14_o 27653_o 18._o 653_o 14._o 33_o 58._o 12_o 59_o 14671_o 9_o 1179_o 7._o 44_o 31._o 0_o 15_o 27529_o 18._o 529_o 14._o 29_o 50._o  _fw-fr 60_o 14250_o 9_o 750_o 7._o 30_o 30._o 0_o 16_o 27653_o 18._o 453_o 14._o 25_o 57_o 40_o 61_o 13817_o 9_o 317_o 7._o 16_o 29._o 4_o 17_o 27255_o 18._o 255_o 14._o 21_o 57_o 20_o 62_o 13380_o 8._o 1380_o 7._o 2_o 28._o 8_o 18_o 27105_o 18._o 105_o 14._o 16_o 57_o 4_o 63_o 12939_o 8._o 939_o 6._o 48_o 27._o 12_o 19_o 26947_o 18._o 0_o 14._o 11_o 56._o 44_o 64_o 12494_o 8._o 994_o 6._o 34_o 26._o 16_o 20_o 26781_o 18._o 0_o 14._o 6_o 56._o 24_o 65_o 12045_o 8._o 45_o 6._o 20_o 25._o 20_o 21_o 26607_o 17._o 1107_o 14._o 0_o 56._o 0_o 66_o 11592_o 7._o 1092_o 6._o 6_o 24._o 24._o 22_o 26423_o 17._o 925_o 13._o 54_o 55._o 36_o 67_o 11136_o 7._o 636_o 5._o 52_o 23._o 28_o 23_o 26234_o 17._o 734_o ●3_n 48_o 55._o 12_o 68_o 10676_o 7._o 176_o 5._o 38_o 22._o 32_o 24_o 26036_o 17._o 536_o ●3_n 42_o 54._o 48_o 69_o 10213_o 6._o 1213_o 5._o 23_o 21._o 32_o 25_o 25830_o 17._o 330_o ●3_n 36_o 54._o 24_o 70_o 9748_o 6._o 748_o 5._o 8_o 20_o 32_o 26_o 25616_o 17._o 116_o 13._o 29_o 54._o 0_o 71_o 9279_o 6._o 279_o 4._o 53_o 19_o 32_o 27_o 25394_o 16._o 1394_o 13._o 22_o 53._o 28_o 72_o 8807_o 5._o 1307_o 4._o 38_o 18._o 32_o 28_o 25164_o 16._o 1164_o 13._o 15_o 53._o 0_o 73_o 8333_o 5._o 933_o 4._o 23_o 17._o 32_o 29_o 24927_o 16._o 927_o 13._o 7_o 52._o 28_o 74_o 7846_o 5._o 346_o 4._o 8_o 16._o 32_o 30_o ●4681_n 16._o 681_o 13._o 59_o 51._o 56_o 75_o 7376_o 4._o 1376_o 3._o 53_o 15._o 32_o 31_o 24429_o 10._o 429_o 12._o 51_o 51._o 24_o 76_o 6895_o 4._o 895_o 3._o 38_o 14_o 32_o 32_o 24169_o 16._o 169_o 12._o 43_o 50._o 52_o 77_o 6411_o 4._o 411_o 3._o 23_o 13._o 32_o 33_o 23902_o 15._o 1402_o 12._o 35_o 50._o 20_o 78_o 5925_o 3._o 1425_o 3._o 8_o 12._o 32_o 34_o 23628_o 15._o 1128_o 12._o 26_o 49._o 44_o 79_o 5438_o 3._o 938_o 2._o 52_o 11._o 28_o 35_o 23346_o 15._o 846_o 12._o 17_o 49._o 8_o 80_o 4949_o 3._o 449_o 2._o 36_o 10._o 24_o 36_o 23057_o 15._o 557_o 12._o 8_o 48._o 32_o 81_o 4458_o 2._o 1458_o 2._o 20_o 9_o 20_o 37_o 22761_o 15._o 261_o 11._o 59_o 47._o 56_o 82_o 3966_o 2._o 966_o 2._o 5_o 8._o 20_o 38_o 22458_o 15._o 0_o 11._o 49_o 47._o 16_o 83_o 3473_o 2._o 473_o 1._o 50_o 7._o 20_o 39_o 22149_o 14._o 1149_o 11._o 39_o 46._o 36_o 84_o 2979_o 1._o 1479_o 1._o 34_o 6._o 12_o 40_o 21832_o 14._o 832_o 11._o 29_o 46._o 0_o 85_o 2484_o 1._o 984_o 1._o 18_o 5._o 12_o 41_o 21509_o 14._o 509_o 11._o 19_o 45._o 16_o 86_o 1988_o 1._o 488_o 1._o 3_o 4._o 12_o 42_o 21180_o 14._o 180_o 11._o 9_o 44._o 36_o 82_o 1492_o 0._o 1492_o 0._o 47_o 3._o 12_o 43_o 20843_o 13._o 1343_o 10._o 58_o 43._o 52_o 88_o 995_o 0._o 995_o 0._o 31_o 2._o 4_o 44_o 20501_o 13._o 1001_o 10._o 47_o 43._o 8_o 89_o 497_o 0._o 497_o 0._o 16_o 1._o 4_o 45_o 20152_o 13._o 652_o 10._o 36_o 42._o 24_o 90_o 0_o 0._o 0_o 0._o 0_o 0._o 0_o chap._n v._o appearance_n the_o pythagorical_a motion_n of_o the_o earth_n be_v the_o cause_n of_o many_o celestial_a appearance_n the_o pythagorical_a motion_n or_o turn_v the_o earth_n about_o as_o with_o a_o wheel_n not_o that_o quake_a and_o shake_v be_v the_o cause_n of_o very_a many_o celestial_a appearance_n according_a to_o the_o copernican_n opinion_n see_v that_o without_o it_o every_o place_n will_v have_v a_o perpetual_a constancy_n of_o these_o but_o indeed_o there_o be_v no_o property_n or_o quality_n of_o the_o earth_n concern_v which_o there_o can_v be_v great_a disputation_n fith_o that_o not_o very_o long_o ago_o it_o have_v suffer_v the_o censure_n of_o the_o church_n of_o rome_n yet_o because_o to_o many_o man_n it_o seem_v likely_a to_o be_v true_a that_o such_o a_o motion_n of_o the_o earth_n may_v be_v give_v therefore_o i_o will_v endeavour_v brief_o to_o unfold_v the_o same_o appearance_n the_o motion_n of_o the_o sun_n moon_n and_o star_n and_o their_o appearance_n it_o be_v not_o unknown_a to_o any_o of_o the_o very_a vulgar_a sort_n that_o the_o sun_n moon_n and_o all_o the_o star_n of_o heaven_n appear_v every_o day_n that_o be_v in_o the_o space_n of_o 24_o hour_n to_o be_v move_v from_o east_n to_o west_n and_o common_o to_o return_v to_o the_o same_o place_n of_o heaven_n it_o must_v therefore_o needs_o be_v that_o either_o they_o be_v real_o move_v or_o that_o we_o be_v move_v and_o that_o our_o motion_n or_o move_a be_v impute_v to_o the_o star_n for_o if_o two_o thing_n change_v their_o d●stance_n one_o of_o they_o at_o least_o be_v move_v which_o principle_n be_v most_o manifest_a etc._n the_o opinion_n of_o the_o ptolomaians_n and_o pythagorean_n concern_v the_o motion_n of_o the_o star_n etc._n etc._n that_o the_o earth_n stand_v still_o and_o that_o the_o star_n with_o the_o heaven_n be_v move_v be_v and_o be_v yet_o the_o common_a opinion_n of_o astronomer_n which_o be_v call_v ptolomaians_n or_o of_o such_o as_o follow_v the_o doctrine_n of_o ptolemy_n yet_o the_o pythagorean_n long_v ago_o maintain_v that_o the_o star_n hold_v their_o place_n constant_o without_o budge_v from_o thence_o and_o that_o the_o earth_n be_v roll_v and_o wheel_v about_o its_o centre_n one_o of_o who_o be_v the_o famous_a aristarchus_n of_o samos_n who_o for_o his_o defend_v this_o opinion_n be_v by_o his_o adversary_n accuse_v of_o profane_v and_o violate_v religion_n before_o the_o most_o famous_a and_o severe_a bench_n of_o the_o areopagite_n but_o he_o be_v nevertheless_o quit_v by_o the_o sentence_n of_o those_o
most_o sincere_a judge_n yet_o this_o opinion_n find_v but_o few_o abettor_n insomuch_o that_o many_o age_n it_o be_v as_o it_o be_v bury_v in_o oblivion_n so_o that_o there_o be_v no_o mention_n in_o school_n make_v thereof_o until_o such_o time_n that_o eminent_a astronomer_n copernicus_n some_o two_o or_o three_o age_n pass_v make_v it_o famous_a and_o so_o prevail_v therein_o therein_o the_o opinion_n of_o copernicus_n therein_o that_o very_o many_o excellent_a astronomer_n embrace_v this_o opinion_n and_o confirm_v it_o with_o sundry_a argument_n and_o reason_n among_o who_o not_o long_o since_o flourish_v kepler_n the_o emperor_n profess_a mathematician_n and_o galilaeus_fw-la of_o galilee_n the_o italian_a mathematician_n to_o the_o grand_a duke_n of_o tuscany_n or_o florence_n and_o lanthergius_n belga_n and_o because_o there_o be_v a_o twofold_a motion_n of_o the_o heavenly_a body_n perceive_v by_o we_o the_o first_o whereof_o be_v whereby_o all_o the_o star_n as_o well_o 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be_v wont_a to_o be_v consider_v in_o a_o globe_n turn_v round_o about_o globe_n of_o the_o axil_n pole_n periphery_n parallel_n etc._n etc._n of_o the_o globe_n to_o wit_n the_o axil_n about_o which_o it_o be_v turn_v be_v one_o of_o the_o diameter_n the_o pole_n be_v the_o extremity_n or_o two_o point_n which_o be_v not_o move_v the_o great_a circle_n or_o periphery_n according_a to_o which_o the_o circumrotation_n or_o wheel_v about_o be_v make_v and_o its_o parallel_n now_o let_v we_o see_v concern_v the_o swiftness_n of_o that_o motion_n the_o first_o motion_n by_o which_o the_o earth_n be_v turn_v round_o about_o his_o axil_n can_v be_v see_v and_o consider_v in_o the_o whole_a earth_n at_o once_o etc._n of_o the_o motion_n of_o the_o earth_n its_o difference_n swiftness_n etc._n etc._n but_o in_o divers_a
place_n it_o be_v also_o different_a to_o wit_n how_o much_o the_o near_o the_o place_n be_v to_o the_o equator_fw-la with_o so_o much_o the_o great_a swiftness_n and_o space_n it_o be_v move_v but_o the_o great_a motion_n be_v in_o the_o place_n that_o lie_v in_o the_o equator_fw-la for_o indeed_o because_o every_o place_n of_o the_o earth_n in_o twenty_o four_o hour_n be_v roll_v about_o by_o the_o space_n of_o a_o whole_a periphery_n to_o wit_n by_o 360_o degree_n therefore_o the_o space_n of_o one_o hour_n be_v find_v if_o 360_o be_v divide_v by_o 24_o the_o quotient_n be_v fifteen_o which_o be_v so_o many_o degree_n these_o be_v the_o degree_n by_o which_o the_o place_n lie_v in_o the_o equator_fw-la or_o without_o it_o be_v turn_v about_o in_o one_o hour_n but_o they_o make_v if_o the_o place_n lie_v in_o the_o equator_fw-la two_o hundred_o twenty_o five_o german_a mile_n whence_o she_o will_v be_v turn_v in_o four_o minute_n of_o a_o hour_n through_o one_o degree_n that_o be_v 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and_o by_o equal_a periphery_n the_o quantity_n hereof_o depend_v of_o the_o distance_n of_o the_o earth_n from_o the_o sun_n and_o be_v perform_v in_o a_o whole_a year_n space_n and_o thereby_o the_o earth_n every_o day_n move_v through_o about_o one_o degree_n concern_v the_o three_o motion_n of_o the_o earth_n because_o it_o have_v a_o more_o hard_a consideration_n i_o leave_v it_o to_o be_v treat_v of_o by_o astronomer_n because_o in_o astronomy_n there_o be_v a_o necessity_n of_o suppose_v it_o indeed_o origanus_n have_v raise_v a_o controversy_n concern_v the_o second_o motion_n also_o think_v the_o first_o motion_n to_o be_v convenient_a for_o the_o earth_n but_o that_o the_o second_o shall_v be_v leave_v for_o the_o sun_n and_o fix_a star_n but_o the_o phaenomena_n or_o appearance_n in_o the_o motion_n of_o the_o planet_n which_o we_o have_v allege_v before_o do_v sufficient_o enough_o maintain_v the_o motion_n of_o the_o earth_n chap._n vi_o concern_v the_o situation_n or_o place_n of_o the_o earth_n in_o respect_n of_o the_o planet_n and_o star_n the_o consideration_n of_o the_o earth_n situation_n in_o this_o whole_a system_a of_o the_o world_n in_o respect_n of_o other_o planet_n have_v a_o contemplation_n suitable_a to_o that_o which_o we_o have_v allege_v concern_v the_o motion_n of_o the_o earth_n in_o the_o forego_n chapter_n for_o the_o common_a opinion_n of_o philosopher_n and_o astronomer_n according_a to_o ptolemy_n have_v decree_v universe_n the_o earth_n according_a to_o the_o opinion_n of_o the_o philosopher_n and_o astronomer_n of_o ptolemy_n take_v up_o the_o centre_n of_o the_o universe_n the_o sun_n according_a to_o the_o copernican_n the_o centre_n of_o the_o universe_n that_o the_o earth_n take_v up_o the_o centre_n of_o this_o whole_a universe_n so_o that_o she_o be_v conversant_a in_o the_o middle_n of_o all_o the_o star_n and_o planet_n but_o they_o of_o copernicus_n his_o sect_n with_o the_o ancient_a pythagorean_n place_v the_o sun_n in_o the_o centre_n of_o all_o the_o star_n but_o they_o set_v the_o earth_n as_o it_o be_v a_o planet_n between_o mars_n and_o venus_n and_o they_o think_v that_o she_o be_v carry_v there_o about_o the_o sun_n with_o a_o yearly_a course_n or_o space_n which_o be_v understand_v better_a by_o the_o diagram_n or_o description_n thereof_o yet_o notwithstanding_o therein_o do_v these_o two_o differ_v opinion_n agree_v that_o both_o confess_v that_o the_o centre_n of_o that_o first_o motion_n whereby_o the_o star_n seem_v to_o we_o in_o the_o space_n of_o twenty_o four_o hour_n to_o be_v carry_v about_o be_v in_o the_o earth_n for_o both_o astronomy_n and_o geography_n do_v want_v this_o supposition_n insomuch_o that_o whether_o you_o follow_v the_o ptolomaican_n or_o pythagorean_n opinion_n scheme_n see_v scheme_n the_o firmness_n and_o certainty_n of_o general_n astronomy_n and_o geography_n lose_v nothing_o for_o the_o difference_n of_o opinion_n consist_v in_o this_o that_o the_o ptolomaians_n will_v have_v this_o motion_n to_o be_v in_o the_o star_n themselves_o but_o the_o pythogoreans_n be_v to_o be_v the_o earth_n the_o star_n in_o the_o mean_a while_n rest_v and_o never_o move_v neither_o of_o which_o be_v it_o necessary_a either_o for_o common_a astronomy_n or_o geography_n to_o determine_v copernican_n the_o place_v the_o sun_n earth_n and_o other_o planet_n according_a to_o the_o ptolomaians_n and_o copernican_n according_a to_o the_o ptolomaians_n this_n be_v the_o place_n of_o the_o planet_n to_o the_o earth_n and_o fix_a star_n the_o earth_n moon_n mercury_n venus_n sun_n jupiter_n saturn_n and_o the_o fix_a star_n according_a to_o the_o copernican_n such_o be_v the_o situation_n or_o place_n the_o sun_n be_v place_v in_o the_o middle_n of_o the_o consistence_n or_o system_v of_o the_o world_n as_o the_o heart_n or_o fire_n next_o to_o he_o the_o orb_n of_o mercury_n venus_n the_o earth_n mars_n jupiter_n saturn_n and_o the_o fix_a star_n if_o you_o 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of_o mars_n jupiter_n saturn_n and_o the_o fix_a star_n be_v altogether_o uncertain_a by_o reason_n of_o the_o defect_n of_o the_o parallaxy_n or_o mutual_a change_n in_o the_o copernican_n hypothesis_n the_o distance_n be_v vary_v not_o only_o from_o the_o motion_n of_o the_o planet_n but_o also_o from_o the_o motion_n of_o the_o earth_n itself_o the_o reason_n of_o either_o opinion_n to_o wit_n of_o the_o ptolomean_a and_o copernican_n concern_v the_o place_n of_o the_o earth_n be_v almost_o the_o same_o with_o they_o which_o in_o the_o precedent_a chapter_n we_o have_v allege_v for_o this_o disputation_n have_v great_a affinity_n with_o the_o same_o for_o if_o you_o ascribe_v and_o allow_v the_o second_o motion_n to_o the_o sun_n which_o be_v call_v the_o proper_a motion_n not_o the_o sun_n but_o the_o earth_n shall_v be_v in_o the_o midst_n but_o if_o you_o allow_v that_o second_o motion_n to_o the_o earth_n not_o the_o earth_n but_o the_o sun_n shall_v be_v in_o the_o middle_n these_o argument_n follow_v may_v be_v say_v for_o the_o copernican_n opinion_n universe_n the_o sun_n not_o only_o the_o fountain_n of_o light_n but_o also_o the_o vital_a spirit_n of_o the_o whole_a universe_n 1._o the_o sun_n be_v not_o only_o the_o fountain_n of_o light_n which_o as_o a_o most_o clear_a shine_a torch_n illuminate_v the_o earth_n moon_n venus_n and_o without_o doubt_v the_o rest_n of_o the_o planet_n but_o he_o be_v the_o firehearth_n of_o heat_n and_o vital_a spirit_n by_o which_o this_o whole_a universe_n seem_v to_o be_v cherish_v and_o sustain_v therefore_o it_o be_v probable_a that_o he_o hold_v the_o middle_a place_n and_o that_o these_o be_v move_v round_o about_o he_o 2._o it_o be_v more_o likely_a that_o the_o earth_n shall_v be_v move_v about_o the_o sun_n that_o together_o with_o the_o rest_n of_o the_o planet_n she_o may_v receive_v light_a and_o heat_n from_o he_o etc._n the_o sun_n a_o vast_a body_n etc._n etc._n 3._o the_o sun_n be_v place_v in_o 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centre_n to_o the_o sun_n the_o motion_n of_o every_o planet_n fitting_o answer_v and_o agree_v to_o the_o distance_n from_o the_o centre_n which_o in_o the_o ptolomaick_a supposition_n be_v manifest_v not_o to_o be_v effect_v by_o the_o consideration_n of_o the_o motion_n of_o the_o sun_n venus_n and_o mercury_n 6._o those_o celestial_a appearance_n which_o we_o have_v use_v in_o the_o former_a chapter_n for_o the_o prove_v the_o second_o motion_n of_o the_o earth_n be_v also_o valid_a and_o efficacious_a for_o this_o place_n which_o i_o have_v say_v must_v be_v assign_v to_o the_o earth_n to_o wit_n the_o retrograde_a course_n and_o station_n of_o the_o planet_n and_o the_o admirable_a apparent_a motion_n of_o venus_n and_o mercury_n etc._n etc._n for_o indeed_o that_o second_o motion_n of_o the_o earth_n do_v before_o hand_n suppose_v this_o place_n and_o place_v of_o the_o earth_n or_o have_v it_o join_v to_o itself_o very_o near_o but_o this_o argument_n in_o my_o opinion_n be_v the_o chief_a yet_o for_o the_o first_o motion_n of_o the_o earth_n nothing_o can_v be_v fetch_v by_o way_n of_o argument_n for_o gather_v thence_o the_o situation_n of_o the_o earth_n for_o the_o earth_n may_v be_v in_o the_o centre_n of_o the_o world_n if_o she_o be_v without_o or_o want_v the_o second_o motion_n as_o origanus_n also_o determine_v 7._o so_o also_o the_o variation_n of_o the_o distance_n of_o the_o planet_n from_o the_o earth_n be_v well_o declare_v earth_n the_o aristotelian_o and_o platonist_n argument_n about_o the_o earth_n yet_o notwithstanding_o the_o aristotelian_o and_o platonist_n oppugn_v the_o pythagorean_n opinion_n with_o many_o argument_n and_o endeavour_v to_o challenge_v the_o centre_n of_o the_o earth_n for_o a_o place_n by_o these_o argument_n first_o heavy_a thing_n be_v carry_v to_o the_o centre_n of_o the_o world_n but_o the_o earth_n be_v the_o heavy_a body_n therefore_o it_o take_v up_o that_o centre_n second_o heavy_a thing_n will_v go_v from_o the_o earth_n towards_o the_o centre_n of_o the_o universe_n unless_o this_o centre_n be_v in_o the_o earth_n three_o the_o centre_n be_v the_o ignobl_a place_n and_o the_o earth_n also_o be_v the_o vile_a part_n of_o this_o universe_n therefore_o it_o shall_v have_v the_o centre_n thereof_o four_o if_o the_o earth_n be_v without_o the_o centre_n of_o the_o world_n and_o motion_n of_o the_o star_n than_o the_o star_n and_o constellation_n will_v be_v see_v in_o some_o season_n of_o the_o year_n and_o some_o day_n big_a than_o in_o other_o five_o neither_o will_v the_o middle_a part_n of_o heaven_n always_o be_v conspicuous_a as_o taurus_n rise_v the_o scorpion_n shall_v set_v etc._n etc._n six_o neither_o will_v there_o be_v equinox_n seven_o neither_o the_o moon_n rise_v eclipse_v will_v the_o sun_n set_v etc._n etc._n eight_o neither_o will_v the_o number_n of_o miles_n in_o the_o earth_n equal_o answer_v every_o degree_n in_o heaven_n copernican_n the_o aforesaid_a reason_n of_o 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to_o it_o saturn_n the_o distance_n of_o the_o moon_n venus_n and_o mercury_n from_o the_o earth_n not_o so_o great_a as_o of_o mars_n jupiter_n and_o saturn_n moreover_o the_o explication_n of_o the_o theorem_fw-la belong_v to_o this_o place_n that_o the_o distance_n of_o the_o fix_a star_n and_o superior_a planet_n mars_n jupiter_n and_o saturn_n be_v so_o great_a from_o the_o earth_n that_o the_o half_a diameter_n of_o the_o earth_n have_v no_o proportion_n to_o it_o but_o the_o distance_n of_o the_o moon_n venus_n and_o mercury_n be_v not_o so_o great_a touch_v the_o sun_n there_o be_v as_o yet_o a_o doubt_n sure_o if_o there_o be_v any_o proportion_n of_o the_o half_a diameter_n of_o the_o earth_n to_o the_o distance_n of_o the_o earth_n from_o the_o sun_n that_o will_v be_v very_o small_a but_o the_o theorem_n be_v prove_v thus_o first_o the_o fix_a star_n and_o high_a planet_n appear_v to_o we_o to_o rise_v at_o the_o same_o moment_n at_o which_o they_o will_v appear_v to_o rise_v by_o a_o right_n contrive_v supputation_n and_o calculation_n if_o we_o be_v set_v in_o the_o centre_n of_o the_o earth_n therefore_o the_o distance_n of_o our_o place_n from_o the_o centre_n of_o the_o earth_n that_o be_v the_o half_a diameter_n bear_v no_o proportion_n to_o the_o distance_n of_o the_o fix_a star_n second_o if_o we_o take_v the_o meridian_n or_o altitude_n of_o a_o fix_a star_n or_o one_o of_o the_o superior_a planet_n with_o a_o astronomical_a instrument_n we_o find_v the_o same_o as_o if_o we_o have_v observe_v it_o in_o the_o centre_n of_o the_o earth_n therefore_o the_o semidiameter_n of_o the_o earth_n vanish_v away_o in_o respect_n of_o that_o distance_n three_o if_o there_o be_v any_o proportion_n than_o the_o distance_n of_o two_o star_n will_v be_v find_v to_o be_v lesser_a about_o the_o horizon_n than_o
about_o the_o meridian_n because_o in_o this_o position_n they_o be_v near_o to_o the_o earth_n almost_o by_o one_o semidiameter_n of_o the_o earth_n the_o same_o argument_n be_v valid_a as_o touch_v the_o sun_n also_o for_o his_o diameter_n be_v not_o find_v great_a in_o the_o meridian_n than_o when_o he_o be_v yet_o on_o the_o horizon_n but_o the_o diameter_n of_o the_o moon_n be_v observe_v to_o be_v a_o little_o great_a in_o the_o meridian_n than_o when_o as_o yet_o she_o be_v on_o the_o horizon_n therefore_o in_o the_o meridian_n it_o be_v somewhat_o nigh_o to_o we_o to_o wit_n almost_o one_o semidiameter_n of_o the_o earth_n chap._n vii_o concern_v the_o substance_n and_o constitution_n of_o the_o earth_n we_o have_v in_o the_o forego_n chapter_n consider_v the_o quality_n or_o property_n of_o the_o earth_n no_o regard_n be_v take_v of_o its_o substance_n or_o be_v but_o now_o these_o be_v declare_v it_o be_v fit_v we_o consider_v this_o also_o that_o we_o may_v know_v what_o kind_n of_o body_n the_o earth_n be_v and_o how_o its_o part_n cohere_v together_o the_o which_o although_o it_o may_v rather_o rather_o seem_v natural_a yet_o because_o it_o be_v requisite_a for_o the_o perfect_a knowledge_n of_o the_o earth_n we_o will_v here_o handle_v brief_o leave_v the_o accurate_a consideration_n thereof_o to_o the_o natural_a philosopher_n proposition_n i._o to_o declare_v of_o what_o simple_a and_o similar_v body_n the_o earth_n may_v consist_v or_o be_v compound_v of_o earth_n of_o the_o four_o element_n of_o the_o earth_n there_o be_v divers_a opinion_n of_o philosopher_n concern_v this_o matter_n the_o peripatetic_n number_n four_o element_n of_o the_o earth_n and_o the_o whole_a sublunary_a world_n be_v now_o sufficient_o know_v to_o the_o very_a vulgar_a fire_n air_n water_n and_o earth_n many_o of_o the_o ancient_n as_o democritus_n and_o leucippus_n determine_v that_o the_o whole_a world_n consist_v of_o very_o little_a solid_a piece_n which_o differ_v only_o in_o their_o various_a figure_n shape_n and_o magnitude_n and_o they_o many_o of_o the_o late_a philosopher_n do_v follow_v and_o of_o late_a cartesius_n endeavour_v by_o such_o a_o hypothesis_n to_o declare_v all_o natural_a appearance_n chemist_n the_o three_o principle_n of_o the_o earth_n by_o chemist_n chemist_n make_v three_o principle_n sal_fw-la sulphur_n and_o mercury_n to_o who_o some_o do_v right_o add_v caput_fw-la mortuum_fw-la or_o the_o dead_a head_n when_o as_o they_o three_o be_v fruitful_a but_o to_o i_o doubtful_a term_n and_o word_n be_v lay_v aside_o and_o the_o thing_n themselves_o well_o consider_v there_o seem_v to_o be_v five_o simple_a body_n the_o first_o principle_n of_o all_o thing_n thing_n by_o other_o five_o simple_a body_n the_o first_o principle_n of_o all_o thing_n to_o wit_n water_n oil_n or_o sulphur_n salt_n earth_n and_o a_o certain_a spirit_n which_o the_o chemist_n call_v mercury_n for_o indeed_o all_o body_n and_o the_o part_n of_o the_o earth_n be_v resolve_v into_o those_o five_o elementary_a substance_n notwithstanding_o i_o deny_v not_o that_o those_o differ_v not_o so_o much_o in_o essence_n as_o in_o the_o singular_a variety_n of_o their_o shape_n and_o magnitude_n therefore_o the_o whole_a earth_n consist_v of_o these_o simple_a body_n which_o be_v divers_a way_n commix_v from_o whence_o arise_v so_o great_a variety_n of_o body_n which_o do_v appear_v different_a from_o one_o another_o and_o similar_v or_o body_n of_o like_a part_n but_o the_o more_o exquisite_a declaration_n of_o these_o point_n belong_v to_o natural_a philosophy_n which_o i_o shall_v have_v occasion_n to_o treat_v of_o more_o at_o large_a in_o the_o first_o volume_n of_o my_o book_n of_o the_o art_n and_o science_n now_o ready_a for_o the_o press_n proposition_n ii_o the_o earth_n be_v divide_v into_o dry_a and_o moist_a part_n or_o into_o earth_n and_o water_n to_o which_o some_o join_v the_o atmosphere_n this_o be_v the_o vulgar_a division_n of_o geographer_n and_o then_o the_o water_n be_v take_v in_o a_o large_a signification_n for_o all_o that_o be_v liquid_a or_o moist_a and_o fluid_a and_o run_a as_o the_o land_n be_v take_v for_o the_o whole_a dry_a and_o consistent_a part_n of_o the_o earth_n nature_n of_o the_o land_n and_o its_o various_a body_n of_o nature_n and_o thereby_o do_v embrace_v and_o comprehend_v such_o various_a body_n of_o nature_n to_o wit_n first_o sand_n loam_n day_n and_o mineral_n earth_n chalk_n cinnaber_n ochre_n terra_fw-la sigi●lata_fw-la or_o saracen_n earth_n earth_n of_o samos_n bolearmoniack_n with_o divers_a other_o kind_n of_o earth_n second_o stone_n of_o various_a sort_n the_o chief_a among_o which_o be_v diamond_n emerald_n ruby_n saphire_n etc._n etc._n three_o metal_n among_o which_o be_v gold_n silver_n copper_n tin_n lead_v mercury_n or_o quicksilver_n iron_n steel_n etc._n etc._n four_o brimstone_n salt_n niter_n alom_n bitumen_n vitriol_n antimony_n etc._n etc._n five_o herb_n plant_n etc._n etc._n part_n of_o the_o water_n and_o its_o part_n to_o the_o water_n be_v refer_v first_o the_o sea_n second_o river_n and_o sweet_a water_n three_o lake_n and_o fen_n or_o marsh_n fourthly_a mineral_n water_n as_o hot_a bath_n sour_a water_n etc._n etc._n earth_n of_o the_o atmosphere_n which_o encompass_n the_o earth_n the_o atmosphere_n be_v that_o thin_a and_o subtle_a body_n which_o girt_n and_o encompass_n the_o earth_n towards_o heaven_n and_o contain_v the_o air_n cloud_n shower_n of_o rain_n etc._n etc._n therefore_o into_o these_o three_o part_n the_o earth_n be_v fit_o divide_v proposition_n iii_o to_o expound_v how_o the_o earth_n and_o water_n cleave_v or_o hold_v together_o and_o make_v the_o land_n cavity_n the_o earth_n not_o bound_v with_o one_o superficies_n but_o have_v hollow_a cavity_n 1._o the_o land_n that_o be_v the_o dry_a part_n of_o the_o earth_n be_v not_o bound_v with_o one_o and_o that_o even_a superficies_n or_o surface_n but_o she_o have_v many_o hollow_a cave_n many_o part_n lift_v up_o aloft_o in_o her_o cavity_n cave_n or_o hollow_n which_o be_v here_o and_o there_o find_v round_o about_o the_o whole_a earth_n the_o sea_n or_o ocean_n be_v contain_v and_o therefore_o part_v of_o the_o earthly_a superficies_n be_v cover_v with_o water_n those_o hollow_n or_o cavity_n be_v not_o make_v of_o a_o even_a hollowness_n but_o have_v here_o and_o there_o rock_n and_o elevate_a part_n and_o elsewhere_o they_o have_v gulf_n and_o swallow_n sink_v very_o deep_a so_o the_o part_n of_o the_o earth_n appear_v out_o above_o the_o water_n have_v certain_a as_o it_o be_v navel_v in_o its_o middle_n and_o some_o part_n be_v more_o or_o less_o raise_v up_o or_o sink_v down_o than_o other_o so_o it_o come_v to_o pass_v that_o the_o water_n environ_v the_o whole_a earth_n be_v hinder_v that_o it_o overwhelm_v not_o the_o whole_a earth_n but_o the_o high_a part_n and_o such_o as_o appear_v above_o the_o water_n be_v island_n of_o which_o some_o be_v great_a and_o some_o small_a earth_n mouth_n hole_n pipe_n &_o other_o conveyance_n in_o the_o body_n of_o the_o earth_n 2._o beside_o that_o continual_a channel_n in_o the_o earth_n in_o the_o outward_a superficies_n within_o also_o in_o the_o solid_a body_n of_o the_o earth_n there_o be_v innumerable_a mouth_n hole_n swallow_n wind_n conveyance_n deep_n pipe_n and_o huge_a vast_a receiver_n in_o some_o of_o which_o there_o be_v the_o sea_n which_o by_o that_o secret_a conveyance_n be_v join_v to_o the_o channel_n of_o the_o common_a sea_n in_o some_o again_o there_o be_v sweet_a water_n rivers_n stream_n in_o some_o spirit_n or_o else_o a_o sulphury_a and_o smoke_a substance_n seneca_n say_v right_o he_o give_v too_o much_o way_n to_o his_o eyesight_n who_o believe_v not_o that_o there_o be_v in_o the_o hide_a and_o secret_a bosom_n of_o the_o earth_n bay_n of_o a_o vast_a sea_n neither_o do_v i_o perceive_v what_o may_v hinder_v that_o there_o may_v not_o be_v some_o seashore_n and_o the_o sea_n receive_v by_o hide_a passage_n there_o be_v therefore_o no_o cause_n of_o doubt_v of_o there_o be_v many_o hollow_n in_o the_o very_a solid_a earth_n for_o very_o we_o conjecture_v at_o it_o by_o these_o mean_n first_o by_o the_o river_n which_o be_v find_v in_o many_o place_n where_o earth_n be_v dig_v even_o to_o a_o notable_a depth_n which_o be_v frequent_a in_o mine_n second_o in_o some_o place_n the_o profundity_n of_o the_o sea_n be_v beyond_o all_o sound_a or_o measure_n three_o there_o be_v some_o cave_n in_o the_o earth_n in_o the_o western_a part_n of_o hispaniola_n be_v a_o mountain_n of_o a_o great_a height_n be_v hollow_a within_o with_o many_o cave_n in_o which_o river_n of_o water_n be_v throw_v down_o headlong_o with_o so_o great_a sound_n and_o rush_a noise_n of_o stream_n that_o the_o very_a fall_n of_o those_o water_n may_v be_v hear_v
difference_n can_v little_o augment_v the_o altitude_n proposition_n xvi_o the_o altitude_n of_o the_o atmosphere_n or_o air_n be_v not_o only_o the_o same_o in_o divers_a place_n but_o it_o remain_v the_o same_o and_o that_o constant_o at_o all_o time_n both_o winter_n and_o summer_n place_n the_o altitude_n of_o the_o atmosphere_n be_v always_o the_o same_o in_o divers_a place_n for_o although_o that_o heat_n in_o the_o summer_n of_o our_o place_n may_v more_o elevate_v also_o our_o air_n more_o than_o in_o winter_n yet_o because_o that_o the_o winter_n be_v at_o the_o same_o in_o another_o place_n of_o the_o earth_n the_o air_n be_v less_o raise_v in_o it_o wherefore_o part_n of_o our_o air_n shall_v be_v move_v towards_o the_o air_n of_o those_o place_n where_o the_o air_n be_v less_o elevate_v viz._n to_o the_o more_o depress_a place_n as_o we_o have_v show_v in_o the_o fourteen_o proposition_n and_o on_o the_o contrary_a whilst_o that_o the_o air_n of_o the_o place_n where_o we_o be_v be_v depress_v by_o reason_n of_o the_o cold_a of_o the_o winter_n part_n of_o this_o air_n where_o the_o summer_n or_o the_o great_a heat_n be_v shall_v be_v move_v towards_o our_o place_n viz._n until_o the_o whole_a air_n be_v equal_o distant_a from_o the_o centre_n of_o the_o earth_n the_o same_o be_v the_o reason_n concern_v the_o day_n and_o the_o night_n for_o whilst_o that_o the_o air_n be_v depress_v and_o contract_v in_o the_o night_n to_o we_o in_o another_o place_n it_o be_v more_o rarefy_a and_o so_o be_v move_v towards_o the_o air_n of_o our_o place_n until_o it_o again_o make_v a_o spherical_a figure_n and_o because_o that_o all_o be_v equal_a on_o every_o side_n therefore_o the_o name_n altitude_n shall_v remain_v in_o every_o time_n but_o because_o that_o the_o air_n be_v condense_v more_o in_o one_o time_n and_o place_n than_o in_o another_o that_o difference_n see_v that_o it_o be_v very_o small_a can_v very_o little_o vary_v the_o altitude_n as_o we_o have_v show_v in_o the_o precedent_a proposition_n the_o same_o be_v the_o account_n of_o rains_n or_o mist_n or_o vapour_n that_o be_v in_o we_o or_o in_o another_o place_n for_o to_o these_o it_o seem_v that_o the_o altitude_n of_o the_o air_n shall_v be_v less_o or_o more_o but_o i_o answer_v that_o there_o be_v scarce_o any_o time_n in_o which_o in_o some_o place_n of_o the_o earth_n it_o rain_v not_o and_o that_o the_o mist_n fall_v not_o and_o therefore_o when_o that_o it_o rain_v in_o one_o place_n the_o air_n become_v not_o lesser_a than_o it_o be_v before_o because_o that_o before_o it_o rain_v in_o another_o place_n and_o so_o the_o reason_n be_v equal_a and_o the_o quantity_n of_o the_o air_n be_v neither_o augment_v nor_o diminish_v proposition_n xvii_o by_o how_o much_o the_o air_n be_v more_o cold_a by_o so_o much_o the_o more_o it_o be_v condense_v and_o therefore_o for_o the_o most_o part_n more_o condense_v in_o the_o winter_n than_o in_o the_o summer_n to_o wit_n in_o some_o place_n of_o the_o earth_n also_o in_o the_o night_n than_o in_o the_o day_n now_o watery_a thick_a exhalation_n in_o the_o winter_n and_o the_o night_n cause_n and_o augment_v that_o condensation_n especial_o in_o the_o morning_n and_o evening_n condense_a the_o cold_o the_o air_n the_o more_o condense_a the_o truth_n of_o the_o proposition_n be_v manifest_a from_o the_o precede_a proposition_n neither_o do_v it_o obstruct_v for_o that_o part_n of_o the_o more_o not_o air_n be_v move_v to_o the_o more_o cold_a as_o to_o a_o more_o depress_a place_n because_o that_o not_o that_o itself_o but_o another_o adjoin_a approachment_n by_o reason_n of_o continual_a protrusion_n and_o if_o that_o that_o happen_v yet_o in_o a_o cold_a place_n that_o become_v also_o cold_a proposition_n xviii_o there_o be_v three_o region_n vulgar_o make_v in_o the_o air_n whereof_o the_o middle_a be_v that_o in_o which_o the_o snow_n rain_n and_o hail_n be_v generate_v the_o first_o be_v that_o in_o which_o we_o be_v extend_v itself_o even_o to_o the_o middle_a region_n the_o three_o be_v that_o which_o begin_v the_o uttermost_a bind_v of_o the_o middle_a region_n and_o extend_v itself_o to_o the_o utmost_a superficies_n of_o the_o air_n even_o to_o the_o sublunary_a fire_n as_o the_o aristotelian_o affirm_v air._n three_o region_n in_o the_o air._n the_o middle_a region_n be_v more_o cold_a than_o the_o first_o and_o three_o which_o be_v reckon_v more_o hot_a but_o the_o three_o by_o reason_n that_o it_o contain_v more_o subtle_a fiery_a and_o sulphureous_a part_n of_o exhalation_n which_o fly_v to_o it_o about_o the_o place_n of_o the_o watery_a particle_n or_o be_v thrust_v down_o as_o more_o light_n the_o aristotelian_o say_v that_o it_o be_v hot_a by_o reason_n of_o its_o vicinity_n to_o the_o fiery-sphere_n but_o the_o first_o because_o that_o the_o ray_n of_o the_o sun_n fall_v be_v ●ea●_n there_o reflex_v and_o so_o duplicate_v the_o heat_n it_o happen_v that_o some_o particle_n of_o subterraneous_a fire_n exhale_v be_v in_o this_o region_n but_o the_o middle_a region_n i●_n more_o cold_a by_o reason_n that_o the_o reflect_a ray_n be_v there_o vicine_fw-la to_o those_o that_o fall_v in_o on_o the_o earth_n neither_o do_v they_o contain_v any_o fiery_a sulphureous_a particle_n but_o watery_a one_o for_o the_o sulphureous_a and_o fiery_a one_o that_o have_v carry_v up_o the_o watery_a one_o fly_v high_o proposition_n xix_o by_o how_o much_o that_o place_n of_o the_o earth_n unto_o which_o the_o sun_n be_v vertical_a recede_v to_o the_o pole_n or_o by_o how_o much_o the_o place_n be_v more_o near_o the_o pole_n by_o so_o much_o the_o less_o distant_a the_o place_n of_o the_o air_n be_v from_o the_o earth_n in_o which_o the_o rain_n snow_n hail_o begin_v to_o be_v generate_v the_o reason_n be_v that_o the_o ray_n of_o the_o sun_n do_v fall_v more_o oblique_o on_o the_o place_n about_o the_o pole_n than_o on_o the_o place_n about_o the_o aequator_fw-la and_o therefore_o the_o ray_n refract_v be_v much_o withdraw_v from_o those_o fall_n in_o and_o so_o cause_v lesser_a heat_n and_o for_o a_o lesser_a space_n than_o the_o ray_n under_o the_o place_n of_o the_o sun_n or_o under_o the_o torrid_a zone_n and_o so_o in_o a_o more_o near_a place_n the_o watery_a vapour_n may_v unite_v to_o generate_v watery_a meteor_n corollary_n the_o superficies_n terminate_a the_o first_o region_n of_o the_o air_n be_v of_o a_o oval_a figure_n or_o rather_o elliptical_a or_o sphere_n like_a protuberate_v in_o the_o torrid_a zone_n proposition_n xx._n by_o how_o much_o the_o place_n of_o the_o earth_n be_v near_a the_o pole_n by_o so_o much_o distance_n the_o region_n of_o the_o air_n be_v distant_a from_o that_o earth_n that_o begin_v the_o three_o or_o in_o which_o the_o more_o subtle_a and_o sulphureous_a particle_n be_v for_o there_o be_v the_o few_o and_o more_o subtle_a particle_n in_o part_n of_o the_o atmosphere_n by_o how_o much_o it_o be_v near_o the_o pole_n because_o that_o the_o heat_n of_o the_o sun_n elicitate_v few_o from_o the_o earth_n therefore_o because_o that_o there_o be_v few_o particle_n of_o the_o three_o region_n under_o the_o frigid_a zone_n than_o in_o the_o temperate_a and_o in_o this_o few_o than_o in_o the_o torrid_a and_o yet_o the_o utmost_a bind_v of_o that_o three_o region_n be_v equal_o distant_a from_o the_o centre_n of_o the_o earth_n 16._o see_v proposition_n 16._o according_a to_o the_o sixteenth_o proposition_n thence_o it_o follow_v that_o the_o begin_n of_o the_o region_n under_o the_o torrid_a zone_n be_v far_o more_o distant_a from_o the_o centre_n of_o the_o earth_n than_o the_o begin_n of_o that_o in_o the_o torrid_a and_o temperate_a zone_n corollary_n the_o superficies_n terminate_a the_o second_o region_n of_o the_o air_n or_o distinguish_v it_o from_o the_o three_o be_v spherical_a and_o protuberate_v in_o the_o frigid_a zone_n all_o these_o must_v be_v show_v to_o youth_n by_o diagram_n proposition_n xxi_o the_o ray_n of_o the_o sun_n moon_n and_o star_n do_v not_o direct_o arrive_v at_o our_o eye_n from_o the_o aether_n through_o the_o air_n but_o where_o they_o enter_v the_o air_n they_o be_v withdraw_v or_o deflect_v a_o little_a from_o a_o direct_a passage_n which_o the_o skilful_a in_o the_o optic_n term_v to_o refract_v the_o ray_n and_o so_o those_o ray_n refract_v come_v to_o our_o eye_n and_o show_v we_o the_o star_n star_n of_o the_o ray_n of_o the_o sun_n moon_n and_o star_n this_o part_n which_o treat_v of_o the_o refraction_n of_o light_n be_v the_o most_o subtle_a part_n of_o the_o science_n of_o the_o optic_n for_o experience_n testify_v that_o ray_n proceed_v from_o any_o visible_a body_n if_o from_o one_o medium_n they_o fall_v in_o upon_o another_o that_o be_v
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 every_o climate_n and_o we_o may_v be_v able_a to_o make_v a_o better_a comparison_n between_o the_o difference_n of_o cold_a and_o heat_n but_o this_o be_v better_a to_o leave_v to_o the_o industry_n of_o the_o reader_n and_o to_o those_o that_o be_v studious_a than_o to_o add_v it_o to_o it_o that_o so_o we_o may_v afford_v they_o a_o great_a occasion_n of_o contemplate_v the_o terrestrial_a globe_n and_o by_o this_o mean_n may_v more_o easy_o commit_v they_o to_o memory_n climate_n where_o the_o ancient_n begin_v the_o climate_n you_o must_v also_o take_v notice_n that_o the_o ancient_n do_v not_o begin_v the_o numeration_n of_o the_o climate_n from_o the_o aequator_fw-la itself_o as_o our_o table_n do_v but_o from_o the_o place_n or_o parallel_n where_o the_o long_a day_n consist_v of_o 12¾_n hour_n and_o therefore_o their_o first_o climate_n be_v the_o second_o in_o our_o table_n their_o second_o our_o three_o and_o so_o on_o for_o they_o suppose_v those_o place_n which_o we_o ascribe_v to_o the_o first_o climate_n can_v not_o possible_o be_v inhabit_v by_o man_n by_o reason_n of_o the_o excessive_a heat_n of_o the_o sun_n latitude_n the_o first_o climate_n of_o 9_o degree_n of_o latitude_n that_o therefore_o they_o judge_v it_o not_o meet_v to_o reckon_v those_o place_n but_o see_v that_o experience_n have_v demonstrate_v the_o contrary_a we_o will_v observe_v their_o mode_n of_o name_v and_o constitute_v of_o those_o climate_n ptolemy_n begin_v the_o first_o climate_n from_o the_o parallel_n where_o the_o long_a day_n be_v 12¼_n hour_n or_o where_o the_o latitude_n or_o distance_n from_o the_o aequator_fw-la be_v four_o degree_n 15_o minute_n the_o matter_n be_v of_o no_o
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 the_o parallel_n and_o climate_n 2._o the_o longitude_n of_o the_o long_a day_n of_o any_o place_n be_v give_v which_o any_o person_n have_v observe_v or_o receive_v by_o relation_n to_o know_v from_o thence_o the_o latitude_n of_o that_o place_n the_o parallel_n and_o the_o climate_n in_o which_o that_o place_n lie_v enter_v the_o table_n with_o the_o latitude_n give_v and_o you_o shall_v see_v on_o the_o opposite_a region_n both_o the_o latitude_n and_o the_o place_n demand_v as_o also_o the_o climate_n and_o parallel_n 3._o a_o climate_n be_v give_v to_o determine_v the_o longitude_n of_o the_o long_a day_n and_o the_o elevation_n of_o the_o pole_n this_o be_v facile_a from_o the_o very_a sight_n of_o the_o table_n chap._n xxvi_o of_o the_o light_n heatt_z cold_a rains_n in_o the_o diverse_a part_n of_o the_o earth_n or_o zone_n and_o other_o property_n of_o the_o zone_n proposition_n i._o these_o cause_n be_v efficacious_a to_o generate_v and_o procure_v light_a heatt_z cold_a 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 depression_n cause_v that_o either_o more_o or_o less_o light_a be_v perceive_v in_o the_o air_n also_o more_o or_o less_o heat_n rain_n thick_a cloud_n hitherto_o belong_v the_o twilight_n 4._o the_o more_o or_o less_o elevation_n of_o the_o moon_n above_o the_o horizon_n the_o more_o or_o less_o depression_n of_o the_o same_o beneath_o the_o horizon_n the_o more_o or_o less_o diurnal_a stay_n of_o the_o same_o above_o the_o horizon_n the_o cause_n be_v the_o same_o with_o those_o allege_v in_o the_o three_o forego_v paragraph_n air._n the_o planet_n and_o fix_a star_n raise_v vapour_n etc._n etc._n in_o the_o air._n 5._o the_o same_o may_v be_v say_v of_o fix_a star_n especial_o of_o those_o more_o note_a one_o and_o of_o the_o five_o other_o planet_n saturn_n jupiter_n mars_n venus_n and_o mercury_n for_o they_o generate_v some_o light_n and_o heat_n in_o the_o air_n although_o it_o be_v but_o little_a and_o change_v the_o air_n divers_a way_n and_o raise_v vapour_n if_o that_o we_o may_v credit_v astronomer_n 6._o the_o propriety_n or_o species_n of_o the_o earth_n of_o every_o place_n for_o where_o the_o earth_n be_v more_o stony_a and_o rocky_a there_o for_o the_o most_o part_n it_o be_v more_o cold_a than_o where_o it_o be_v sulphureous_a and_o fat_a and_o here_o again_o it_o be_v more_o fertile_a where_o there_o be_v much_o sand_n and_o no_o river_n there_o be_v great_a heat_n lake_n fume_n and_o mist_n proceed_v from_o lake_n 7._o lake_n or_o the_o sea_n adjacent_a from_o thence_o also_o fume_n and_o mist_n be_v raise_v more_o moist_a and_o frequent_a in_o the_o air_n and_o the_o ray_n be_v less_o powerful_o reflect_v from_o the_o sea_n than_o from_o the_o earth_n 8._o the_o situation_n of_o place_n for_o the_o sun_n act_v otherwise_o on_o mountain_n and_o mountainous_a place_n than_o on_o valley_n and_o plain_n moreover_o mountain_n hinder_v the_o free_a access_n of_o the_o ray_n of_o the_o sun_n to_o the_o subject_a place_n for_o to_o they_o the_o vapour_n of_o the_o air_n be_v in_o some_o sort_n attract_v 20._o see_v chap._n 20._o whence_o the_o mountain_n change_v the_o season_n of_o the_o adjacent_a place_n as_o heatt_z rain_n and_o the_o like_a for_o these_o will_v be_v otherwise_o in_o the_o subject_a place_n if_o that_o the_o mountain_n be_v absent_a weather_n the_o wind_n cause_n difference_n in_o the_o weather_n 9_o the_o wind_n especial_o the_o general_a so_o the_o etesian_a wind_n temperate_a and_o allay_v the_o canicular_a heat_n a_o general_a wind_n in_o the_o torrid_a zone_n especial_o the_o subsolan_n wind_n in_o brasilia_n render_v the_o heat_n temperate_a when_o in_o africa_n which_o be_v occidental_a the_o heat_n be_v vehement_a because_o these_o place_n feel_v not_o so_o general_a a_o wind._n the_o northern_a wind_n be_v cold_a and_o dry_a the_o southern_a warm_a and_o moist_a in_o our_o place_n 10._o cloud_n rain_n and_o fog_n take_v away_o and_o diminish_v light_a and_o heat_n i_o suppose_v that_o there_o be_v not_o many_o cause_n of_o this_o variety_n in_o light_n and_o heat_n etc._n etc._n which_o be_v observe_v in_o divers_a place_n of_o the_o earth_n or_o also_o in_o the_o same_o place_n but_o yet_o in_o a_o different_a time_n or_o season_n proposition_n ii_o how_o be_v the_o season_n of_o the_o year_n spring_n summer_n autumn_n and_o winter_n to_o be_v define_v year_n the_o four_o season_n of_o the_o year_n although_o in_o science_n we_o ought_v not_o to_o contend_v and_o dispute_v concern_v definition_n yet_o because_o certain_a homonyme_n or_o likeness_n do_v here_o occur_v without_o the_o explication_n of_o which_o there_o will_v arise_v much_o confusion_n in_o the_o follow_a doctrine_n therefore_o i_o will_v so_o propose_v this_o question_n that_o you_o may_v the_o more_o cautious_o avoid_v this_o homonyme_n that_o they_o may_v not_o be_v deceive_v and_o entangle_v by_o the_o same_o the_o question_n comprehend_v two_o difficulty_n first_o whether_o these_o season_n ought_v to_o be_v define_v from_o the_o entrance_n of_o the_o sun_n and_o his_o stay_n in_o certain_a sing_v of_o the_o ecliptic_a and_o zodiac_n astrologer_n according_a to_o astronomer_n and_o astrologer_n for_o so_o astronomer_n and_o astrologer_n common_o do_v say_v that_o that_o be_v the_o spring_n whilst_o the_o sun_n move_v from_o the_o first_o degree_n of_o aries_n to_o the_o first_o of_o cancer_n that_o be_v summer_n whilst_o the_o sun_n move_v from_o the_o first_o of_o cancer_n to_o the_o first_o of_o libra_n that_o be_v autumn_n whilst_o the_o sun_n move_v from_o the_o first_o of_o libra_n to_o the_o first_o of_o capricorn_n and_o that_o be_v winter_n whilst_o the_o sun_n move_v from_o the_o first_o of_o capricorn_n to_o the_o first_o degree_n of_o aries_n now_o it_o be_v manifest_a that_o these_o definition_n be_v not_o general_a and_o agreeable_a to_o all_o place_n because_o they_o be_v only_o of_o force_n in_o the_o northern_a place_n situate_v from_o the_o aequator_fw-la towards_o the_o pole_n arctic_a and_o not_o in_o the_o southern_a so_o that_o for_o these_o definition_n the_o same_o person_n bring_v definition_n contrary_a to_o the_o former_a say_v that_o in_o these_o place_n the_o spring_n begin_v from_o the_o first_o degree_n of_o libra_n proceed_v unto_o the_o first_o of_o capricorn_n the_o summer_n from_o the_o first_o of_o capricorn_n to_o the_o first_o of_o aries_n the_o autumn_n from_o the_o first_o of_o aries_n to_o the_o first_o of_o cancer_n and_o the_o winter_n from_o the_o first_o of_o cancer_n to_o the_o first_o of_o libra_n but_o from_o thence_o it_o will_v follow_v that_o those_o season_n can_v possible_o be_v define_v which_o be_v false_a and_o general_n ought_v to_o be_v define_v by_o general_n second_o definition_n so_o make_v can_v have_v place_n in_o the_o place_n of_o the_o torrid_a zone_n
definition_n spring_n summer_n autumn_n and_o winter_n may_v be_v attribute_v to_o all_o place_n of_o the_o earth_n neither_o be_v it_o easy_a to_o find_v out_o any_o other_o mode_n of_o define_v they_o so_o that_o they_o may_v agree_v with_o all_o place_n now_o these_o definition_n be_v lay_v down_o let_v we_o come_v to_o the_o matter_n itself_o proposition_n iii_o the_o celestial_a summer_n of_o the_o place_n of_o the_o earth_n which_o lie_v between_o the_o tropic_a of_o cancer_n and_o the_o pole_n arctic_a begin_v with_o the_o entrance_n of_o the_o sun_n into_o the_o first_o degree_n of_o cancer_n viz._n the_o 21_o of_o june_n and_o end_n with_o the_o entrance_n of_o the_o sun_n into_o the_o first_o degree_n of_o libra_n viz._n the_o 21_o of_o september_n and_o that_o together_o at_o once_o in_o all_o those_o place_n so_o that_o autumn_n be_v in_o those_o place_n the_o sun_n go_v from_o the_o first_o of_o libra_n unto_o the_o first_o of_o capricorn_n the_o winter_n whilst_o the_o sun_n move_v from_o the_o first_o of_o capricorn_n to_o the_o first_o of_o aries_n the_o spring_n whilst_o the_o sun_n move_v from_o the_o first_o degree_n of_o aries_n unto_o the_o first_o of_o cancer_n year_n further_o concern_v the_o season_n of_o the_o year_n the_o truth_n of_o this_o proposition_n be_v easy_o show_v by_o the_o antecedent_n definition_n and_o may_v be_v demonstrate_v on_o the_o globe_n and_o in_o universal_a map_n for_o the_o sun_n come_v to_o the_o first_o degree_n of_o cancer_n have_v the_o least_o distance_n in_o the_o meridies_n from_o the_o vertex_n of_o every_o one_o of_o the_o place_n of_o the_o northern_a temperate_a and_o frigid_a zone_n after_o the_o same_o mode_n the_o sun_n in_o the_o first_o degree_n of_o libra_n have_v a_o moderate_a distance_n from_o those_o vertex_n in_o the_o first_o of_o capricorn_n a_o great_a in_o the_o first_o of_o aries_n a_o moderate_a and_o he_o ascend_v to_o a_o more_o great_a which_o be_v apparent_a both_o from_o the_o declination_n of_o the_o sun_n and_o from_o the_o globe_n and_o map_n therefore_o it_o be_v infer_v by_o the_o definition_n lay_v down_o before_o that_o the_o summer_n the_o winter_n and_o the_o spring_n of_o those_o place_n begin_z and_o end_v in_o those_o day_n we_o have_v speak_v of_o the_o summer_n of_o those_o place_n of_o the_o earth_n which_o lie_v between_o the_o tropic_a of_o capricorn_n and_o the_o antarctic_a pole_n or_o those_o of_o the_o southern_a zone_n temperate_a and_o frigid_a begin_v with_o the_o entrance_n of_o the_o sun_n into_o the_o first_o of_o capricorn_n viz._n 21_o of_o december_n and_o end_n with_o the_o entrance_n of_o the_o sun_n into_o the_o first_o of_o aries_n viz._n the_o 21_o of_o march._n the_o autumn_n of_o those_o place_n begin_v with_o the_o entrance_n of_o the_o sun_n into_o the_o first_o of_o aries_n and_o end_n with_o the_o entrance_n of_o the_o sun_n into_o the_o first_o of_o cancer_n viz._n the_o 21_o of_o june_n with_o this_o the_o winter_n of_o those_o place_n begin_v which_o end_v with_o the_o entrance_n of_o the_o sun_n into_o the_o first_o of_o libra_n viz._n 21_o of_o september_n and_o with_o this_o their_o spring_n begin_v and_o end_v with_o the_o entrance_n of_o the_o sun_n into_o the_o first_o of_o capricorn_n viz._n 21_o of_o december_n where_o the_o summer_n begin_v again_o these_o be_v show_v after_o the_o same_o mode_n by_o the_o definition_n deliver_v and_o by_o the_o globe_n or_o map_n by_o which_o we_o show_v the_o former_a because_o in_o the_o first_o degree_n of_o capricorn_n the_o sun_n have_v the_o least_o distance_n from_o the_o vertex_n of_o those_o place_n in_o the_o first_o of_o aries_n a_o moderate_a and_o descend_v to_o the_o less_o in_o the_o first_o of_o cancer_n the_o great_a in_o the_o first_o of_o libra_n a_o moderate_a and_o ascend_v to_o a_o great_a but_o the_o celestial_a summer_n spring_n autumn_n and_o winter_n of_o the_o place_n of_o the_o earth_n which_o lie_v in_o the_o torrid_a zone_n between_o the_o tropic_a of_o cancer_n and_o capricorn_n do_v not_o begin_v on_o one_o and_o the_o same_o day_n of_o the_o year_n but_o on_o divers_a day_n in_o every_o place_n of_o diverse_a parallel_n or_o of_o a_o diverse_a latitude_n of_o this_o zone_n now_o the_o place_n of_o the_o torrid_a zone_n be_v threefold_a viz._n the_o place_n of_o the_o aequator_fw-la the_o northern_a place_n of_o the_o torrid_a zone_n and_o the_o southern_a place_n of_o the_o torrid_a zone_n 1._o the_o place_n lie_v in_o the_o aequator_fw-la have_v this_o peculiar_a to_o they_o that_o they_o enjoy_v two_o summer_n two_o winter_n two_o spring_n season_n and_o two_o autumn_n and_o that_o in_o every_o year_n so_o that_o in_o half_a a_o year_n they_o have_v or_o aught_o to_o have_v those_o four_o season_n according_a to_o our_o definition_n and_o the_o celestial_a law_n they_o have_v again_o the_o same_o four_o season_n from_o the_o 21_o of_o september_n to_o the_o 21_o of_o march_n september_n half_n a_o year_n be_v from_o the_o 21_o of_o march_n to_o the_o 21_o of_o september_n viz._n one_o summer_n whilst_o the_o sun_n move_v from_o the_o first_o degree_n of_o aries_n to_o the_o second_o of_o taurus_n from_o the_o 21_o of_o march_n to_o the_o 22_o of_o april_n autumn_n whilst_o the_o sun_n move_v from_o the_o second_o degree_n of_o taurus_n to_o the_o first_o of_o cancer_n from_o the_o 22_o of_o april_n to_o the_o 21_o of_o june_n zodiac_n the_o motion_n of_o ●he_n sun_n in_o the_o 12_o sign_n of_o the_o zodiac_n winter_n whilst_o the_o sun_n move_v from_o the_o first_o degree_n of_o cancer_n to_o the_o second_o of_o leo_n from_o the_o 21_o of_o june_n to_o the_o 19_o of_o august_n the_o spring_n whilst_o the_o sun_n move_v from_o the_o 28_o degree_n of_o leo_n to_o the_o first_o of_o libra_n from_o the_o 19_o of_o august_n to_o the_o 21_o of_o september_n the_o other_o summer_n whilst_o the_o sun_n move_v from_o the_o first_o degree_n of_o libra_n to_o the_o second_o of_o scorpio_n from_o the_o 21_o of_o september_n to_o the_o 22_o of_o october_n the_o other_o autumn_n whilst_o the_o sun_n move_v from_o the_o second_o degree_n of_o scorpio_n to_o the_o first_o of_o capricorn_n from_o the_o 22_o of_o october_n to_o the_o 21_o of_o december_n the_o other_o winter_n whilst_o the_o sun_n move_v from_o the_o first_o degree_n of_o capricorn_n to_o the_o 28_o of_o aquarius_n from_o the_o 21_o of_o december_n to_o the_o 19_o of_o february_n the_o other_o spring_n be_v whilst_o the_o sun_n do_v move_v from_o the_o 28_o degree_n of_o aquarius_n to_o the_o first_o of_o aries_n from_o the_o 19_o of_o february_n to_o the_o 21_o of_o march._n all_o these_o be_v easy_o demonstrate_v from_o the_o definition_n lay_v down_o because_o that_o the_o sun_n in_o the_o first_o degree_n of_o aries_n and_o in_o the_o first_o of_o libra_n have_v the_o less_o distance_n in_o the_o meridies_n from_o the_o vertices_fw-la of_o the_o place_n lie_v under_o the_o aequator_fw-la for_o it_o have_v none_o because_o it_o be_v vertical_a unto_o they_o therefore_o then_o do_v the_o summer_n begin_v then_o in_o the_o second_o degree_n of_o taurus_n and_o the_o second_o of_o scorpio_n where_o the_o declination_n of_o the_o sun_n be_v 11_o degree_n 45_o minute_n it_o acquire_v a_o mean_a distance_n depart_v to_o a_o great_a then_o therefore_o the_o autumn_n do_v begin_v moreover_o when_o he_o be_v in_o the_o first_o degree_n of_o cancer_n and_o the_o first_o of_o capricorn_n he_o have_v a_o great_a distance_n from_o the_o place_n of_o the_o aequator_fw-la therefore_o then_o do_v the_o winter_n begin_v final_o on_o the_o 28_o degree_n of_o leo_n and_o the_o 28_o of_o aquarius_n he_o receive_v a_o moderate_a distance_n from_o the_o place_n of_o the_o aequator_fw-la 10_o degree_n 45_o minute_n ascend_v towards_o the_o least_o and_o therefore_o then_o do_v the_o spring_n season_v begin_v these_o be_v understand_v more_o perspicuous_o from_o the_o globe_n therefore_o here_o these_o season_n may_v be_v distinguish_v thus_o according_a to_o the_o celestial_a law_n notwithstanding_o the_o terrestrial_a season_n be_v in_o many_o place_n of_o the_o aequator_fw-la otherwise_o observe_v as_o we_o shall_v show_v in_o the_o follow_a proposition_n 2._o all_o the_o place_n of_o the_o earth_n lie_v under_o the_o torrid_a northern_a zone_n have_v the_o end_n of_o the_o autumn_n and_o the_o beginning_n of_o the_o winter_n together_o both_o at_o one_o time_n viz._n the_o 21_o of_o december_n but_o they_o have_v not_o together_o the_o beginning_n and_o end_n of_o the_o summer_n and_o spring_n as_o also_o the_o autumn_n but_o different_a place_n have_v they_o in_o several_a day_n season_n other_o observation_n about_o the_o begin_n of_o the_o season_n for_o the_o end_n of_o the_o
autumn_n and_o the_o beginning_n of_o the_o winter_n in_o those_o place_n be_v when_o the_o sun_n obtain_v the_o great_a distance_n that_o possible_o he_o can_v from_o the_o vertex_fw-la of_o those_o place_n as_o it_o be_v lay_v down_o in_o the_o definition_n and_o it_o be_v true_a concern_v all_o the_o place_n of_o the_o torrid_a northern_a zone_n that_o the_o sun_n enter_v into_o the_o first_o degree_n of_o capricorn_n acquire_v the_o great_a distance_n in_o the_o meridies_n from_o the_o vertex_fw-la of_o those_o place_n because_o that_o in_o all_o the_o other_o day_n he_o be_v more_o near_o to_o those_o place_n therefore_o the_o sun_n be_v enter_v into_o the_o first_o degree_n of_o capricorn_n the_o beginning_n of_o the_o winter_n happen_v to_o all_o those_o place_n and_o also_o the_o end_n of_o autumn_n which_o be_v the_o first_o part_n of_o this_o proposition_n the_o other_o part_n be_v also_o easy_o prove_v for_o if_o these_o place_n be_v of_o a_o diverse_a latitude_n than_o the_o sun_n be_v not_o vertical_a in_o the_o meridies_n to_o those_o place_n in_o the_o same_o day_n but_o in_o diverse_a for_o than_o be_v the_o begin_n of_o the_o summer_n of_o any_o place_n of_o this_o torrid_a zone_n when_o the_o sun_n by_o his_o ascent_n from_o the_o first_o of_o capricorn_n come_v to_o that_o degree_n of_o the_o northern_a ecliptic_a that_o he_o be_v vertical_a to_o that_o place_n so_o that_o in_o divers_a day_n the_o beginning_n of_o summer_n may_v be_v in_o those_o divers_a place_n yet_o in_o all_o those_o place_n its_o beginning_n fall_v between_o the_o 21_o of_o march_n and_o the_o 21_o of_o june_n the_o summer_n shall_v also_o end_v in_o different_a day_n and_o the_o autumn_n begin_v because_o the_o sun_n in_o divers_a day_n come_v to_o his_o mean_a distance_n or_o to_o the_o point_n of_o the_o ecliptic_a which_o have_v a_o moderate_a distance_n from_o those_o place_n because_o these_o point_n be_v different_o seat_v between_o the_o first_o of_o libra_n and_o the_o first_o of_o capricorn_n notwitstand_v this_o beginning_n fall_v out_o between_o the_o 21_o of_o september_n and_o the_o 21_o of_o december_n after_o the_o same_o mode_n in_o divers_a day_n the_o winter_n shall_v have_v a_o end_n and_o the_o spring_n begin_v because_o the_o point_n of_o the_o ecliptic_a again_o of_o a_o moderate_a distance_n be_v divers_a from_o the_o vertices_fw-la of_o those_o place_n now_o the_o sun_n touch_v they_o cause_v the_o beginning_n of_o the_o spring_n which_o yet_o happen_v in_o all_o between_o the_o 21_o of_o december_n and_o the_o 21_o of_o march_n 3._o all_o the_o place_n of_o the_o earth_n situate_v in_o the_o torrid_a southern_a zone_n have_v also_o the_o end_n of_o the_o autumn_n and_o the_o beginning_n of_o the_o winter_n together_o at_o one_o time_n viz._n the_o 21_o of_o june_n but_o they_o have_v not_o the_o beginning_n and_o end_n of_o the_o spring_n as_o also_o the_o beginning_n of_o the_o autumn_n together_o but_o divers_a place_n have_v it_o in_o different_a day_n yet_o so_o that_o the_o begin_n of_o the_o summer_n of_o all_o those_o place_n do_v fall_v between_o the_o 21_o of_o september_n and_o the_o 21_o of_o december_n the_o beginning_n of_o autumn_n and_o the_o end_n of_o summer_n 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 the_o spring_n and_o the_o end_n of_o winter_n between_o the_o 21_o of_o june_n and_o the_o 21_o of_o september_n the_o part_n of_o this_o proposition_n be_v prove_v after_o the_o same_o manner_n as_o the_o former_a for_o on_o the_o 21_o of_o june_n the_o sun_n be_v in_o the_o first_o degree_n of_o cancer_n and_o therefore_o have_v the_o great_a distance_n that_o be_v possible_a from_o the_o place_n of_o the_o austrial_a torrid_a zone_n then_o therefore_o all_o of_o they_o shall_v have_v the_o beginning_n of_o winter_n but_o the_o begin_n of_o summer_n the_o spring_n and_o autumn_n shall_v happen_v on_o divers_a day_n because_o the_o sun_n in_o sundry_a point_n of_o the_o ecliptic_a become_v vertical_a unto_o divers_a place_n and_o acquire_v also_o a_o moderate_a distance_n from_o those_o place_n in_o many_o place_n 4._o those_o place_n of_o the_o earth_n in_o the_o torrid_a zone_n have_v something_o peculiar_a which_o lie_v between_o the_o aequator_fw-la and_o the_o eight_o degree_n of_o latitude_n as_o well_o towards_o the_o north_n as_o south_n for_o the_o sun_n by_o his_o proper_a motion_n or_o by_o his_o access_n or_o recess_n make_v two_o summer_n in_o they_o two_o spring_n but_o yet_o but_o one_o autumn_n and_o one_o winter_n and_o that_o by_o a_o confuse_a kind_n of_o order_n viz._n this_o the_o spring_n the_o summer_n the_o spring_n the_o summer_n again_o then_o autumn_n and_o then_o winter_n latitude_n the_o place_n in_o the_o torrid_a zone_n have_v something_o peculiar_a to_o they_o which_o lie_v between_o the_o aequator_fw-la and_o the_o 8_o degree_n of_o latitude_n the_o cause_n of_o this_o paradox_n be_v because_o the_o sun_n recede_v from_o the_o vertices_fw-la of_o those_o place_n which_o lie_v between_o the_o aequator_fw-la and_o the_o 8_o degree_n of_o the_o boreal_a or_o northern_a latitude_n where_o it_o make_v the_o beginning_n of_o the_o first_o summer_n and_o go_v forward_o towards_o the_o beginning_n of_o cancer_n it_o acquire_v here_o a_o a_o moderate_a distance_n when_o it_o return_v from_o the_o vertices_fw-la towards_o those_o vertices_fw-la it_o shall_v not_o make_v autumn_n after_o that_o first_o summer_n but_o another_o spring_n see_v that_o it_o make_v the_o first_o before_o it_o begin_v the_o first_o summer_n where_o it_o obtain_v a_o mean_a distance_n between_o the_o first_o of_o capricorn_n and_o the_o first_o of_o aries_n for_o example_n let_v we_o take_v a_o place_n which_o be_v four_o degree_n from_o the_o aequator_fw-la because_o therefore_o also_o the_o sun_n in_o the_o ten_o degree_n of_o aries_n decline_v and_o be_v distant_a from_o the_o aequator_fw-la four_o degree_n therefore_o he_o be_v in_o the_o ten_o of_o aries_n shall_v cause_v the_o beginning_n of_o summer_n in_o that_o place_n moreover_o the_o great_a distance_n which_o this_o place_n can_v have_v in_o the_o meridies_n be_v 27_o degree_n 30_o minute_n viz._n in_o the_o first_o degree_n of_o capricorn_n where_o his_o declination_n from_o the_o aequator_fw-la be_v 30_o minnte_n 23_o degree_n to_o which_o let_v the_o northerm_n distance_n of_o the_o place_n from_o the_o aequator_fw-la 4_o degree_n be_v add_v therefore_o see_v his_o mean_a distance_n be_v 0_o degree_n let_v 0_o degree_n be_v his_o middle_a distance_n 13_o degree_n 45_o minute_n wherefore_o when_o the_o sun_n shall_v be_v in_o the_o point_n of_o the_o ecliptic_a which_o be_v distant_a from_o the_o place_n take_v or_o the_o parallel_n of_o the_o place_n 13_o degree_n 45_o minute_n then_o the_o sun_n shall_v make_v either_o spring_n or_o autumn_n in_o that_o place_n the_o spring_n if_o the_o sun_n be_v move_v from_o those_o point_n towards_o the_o vertex_fw-la of_o the_o place_n but_o autumn_n if_o the_o sun_n tend_v from_o that_o point_n to_o a_o remote_a distance_n now_o the_o point_n of_o the_o ecliptic_a which_o be_v distant_a from_o the_o place_n assume_v 13_o degree_n 45_o minute_n be_v find_v to_o be_v four_o to_o wit_n the_o 25_o degree_n of_o libra_n the_o 3d_o degree_n of_o gemini_fw-la the_o 27_o of_o cancer_n and_o the_o 5_o of_o pisces_fw-la which_o be_v prove_v from_o the_o declination_n of_o these_o point_n because_o that_o therefore_o the_o sun_n come_v to_o the_o five_o degree_n of_o pisces_fw-la from_o the_o first_o of_o capricorn_n acquire_v here_o a_o middle_a distance_n from_o the_o vertex_fw-la of_o the_o place_n assume_v and_o tend_v towards_o the_o place_n he_o shall_v then_o make_v viz._n he_o be_v in_o the_o five_o degree_n of_o pisces_fw-la the_o beginning_n of_o the_o spring_n in_o that_o place_n which_o spring_n shall_v continue_v until_o the_o sun_n do_v come_v 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
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 of_o the_o year_n the_o meridian_n shadow_n may_v be_v carry_v to_o the_o north_n on_o other_o to_o the_o south_n that_o be_v in_o which_o the_o meridian_n shadow_n may_v be_v so_o cast_v as_o in_o some_o give_a place_n of_o the_o torrid_a zone_n let_v the_o latitude_n of_o the_o place_n give_v of_o the_o torrid_a zone_n be_v take_v from_o the_o latitude_n of_o our_o place_n if_o the_o latitude_n be_v cognominal_a but_o if_o they_o be_v of_o a_o diverse_a species_n let_v both_o the_o latitude_n be_v add_v and_o the_o remain_a degree_n keep_v then_o in_o the_o horizontal_n plain_a the_o meridian_n line_n be_v find_v and_o also_o the_o line_n of_o the_o aequator_fw-la which_o be_v perpendicular_a to_o the_o meridian_n line_n let_v some_o plain_n be_v erect_v above_o the_o line_n of_o the_o aequator_fw-la that_o it_o may_v incline_v above_o the_o horizon_n so_o many_o degree_n as_o be_v keep_v before_o the_o style_n or_o pin_n erect_v in_o this_o plain_n shall_v cast_v such_o shadow_n 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 ●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
according_a to_o this_o compliment_n but_o this_o be_v better_a learn_v by_o instruction_n than_o long_a precept_n proposition_n xxiv_o to_o make_v a_o scioterick_n in_o our_o horizontal_n or_o other_o plain_n which_o shall_v show_v the_o hour_n of_o other_o place_n although_o remote_a from_o we_o this_o may_v be_v do_v on_o our_o scioterick_n which_o be_v make_v to_o show_v the_o hour_n of_o our_o place_n first_o consider_v whether_o the_o place_n give_v lie_v east_n or_o west_n from_o we_o if_o eastward_n the_o 12_o hour_n must_v be_v reckon_v there_o before_o in_o our_o place_n if_o westward_n mare_n late_a then_o let_v our_o place_n be_v bring_v to_o the_o meridian_n the_o index_n to_o the_o hour_n 12_o and_o let_v the_o globe_n be_v turn_v until_o the_o other_o place_n come_v to_o the_o meridian_n the_o index_n will_v show_v what_o hour_n be_v in_o this_o place_n when_o it_o be_v 12_o in_o we_o from_o hence_o it_o be_v easy_a to_o collect_v the_o hour_n of_o that_o place_n which_o may_v agree_v with_o the_o 1_o 2_o 3_o 4_o also_o 11_o 10_o 9_o 8_o etc._n etc._n of_o we_o which_o then_o must_v be_v ascribe_v to_o they_o but_o this_o may_v be_v do_v more_o elegant_o without_o the_o globe_n according_a to_o the_o mode_n that_o the_o horizontal_n be_v compose_v proposition_n xxv_o to_o elevate_v a_o plain_a above_o the_o horizon_n of_o our_o place_n and_o in_o that_o plain_a to_o make_v a_o scioterick_n in_o which_o the_o shadow_n of_o the_o hour_n may_v seem_v to_o go_v backward_o as_o in_o the_o place_n of_o the_o torrid_a zone_n because_o the_o elevation_n of_o the_o plain_n be_v leave_v to_o our_o choice_n therefore_o we_o shall_v choose_v such_o a_o one_o as_o be_v commodious_a to_o our_o purpose_n for_o example_n we_o shall_v so_o place_v the_o plain_a above_o our_o horizon_n or_o above_o the_o aequinoctial_a line_n east_n and_o west_n that_o the_o axis_n of_o the_o world_n or_o pole_n may_v be_v elevate_v ten_o degree_n above_o it_o so_o the_o shadow_n shall_v begin_v to_o be_v retrograde_a the_o sun_n be_v enter_v into_o the_o 26_o degree_n of_o aries_n and_o it_o shall_v so_o do_v until_o the_o sun_n come_v to_o the_o four_o degree_n of_o virgo_fw-la therefore_o let_v the_o plain_n be_v so_o constitute_v and_o the_o horologue_n so_o make_v that_o it_o may_v be_v in_o the_o place_n of_o the_o latitude_n of_o 52_o the_o plain_n shall_v be_v elevate_v 42_o degree_n so_o the_o pole_n shall_v be_v elevate_v above_o that_o 10_o degree_n 22._o see_v proposit_n 22._o in_o this_o plain_a a_o horizontal_n scioterick_n may_v be_v make_v for_o the_o elevation_n of_o the_o pole_n 10_o degree_n where_o when_o the_o line_n of_o the_o shadow_n be_v bring_v from_o the_o centre_n of_o the_o horologue_n and_o extend_v far_o enough_o let_v their_o part_n about_o the_o centre_n be_v blot_v out_o and_o the_o centre_n also_o and_o let_v a_o perpendicular_a style_n be_v erect_v in_o any_o point_n of_o the_o altitude_n of_o the_o meridian_n line_n such_o as_o shall_v exhibit_v a_o gnomonical_a triangle_n and_o the_o extremity_n of_o this_o style_n by_o its_o shadow_n fall_v on_o the_o line_n of_o the_o shadow_n shall_v show_v the_o hour_n and_o also_o the_o shadow_n shall_v seem_v to_o be_v retrograde_a on_o those_o day_n also_o by_o the_o assistance_n of_o the_o terrestrial_a globe_n meridional_a polary_a and_o incline_v sciotericks_n of_o all_o sort_n may_v be_v describe_v but_o because_o this_o matter_n appertain_v to_o another_o discipline_n viz._n to_o dial_v therefore_o i_o think_v it_o unnecessary_a to_o treat_v of_o all_o these_o here_o chap_n xxviii_o of_o the_o comparison_n of_o the_o celestial_a affection_n in_o divers_a place_n of_o the_o earth_n scheme_n see_v scheme_n from_o the_o consideration_n of_o the_o agreement_n and_o difference_n of_o the_o celestial_a appearance_n in_o the_o divers_a place_n of_o the_o earth_n proceed_v the_o denomination_n of_o the_o inhabitant_n which_o some_o have_v mistake_v for_o the_o division_n by_o which_o some_o be_v say_v to_o be_v antoeci_n other_o perioeci_n and_o other_o antipode_n earth_n of_o the_o denomination_n of_o the_o inhabitant_n of_o the_o earth_n those_o be_v say_v to_o be_v antoeci_n or_o the_o inhabitant_n of_o two_o place_n which_o lie_v in_o the_o same_o semicircle_n of_o the_o same_o meridian_n but_o from_o a_o divers_a quarter_n of_o the_o aequator_fw-la to_o wit_n one_o towards_o the_o north_n and_o another_o towards_o the_o south_n but_o yet_o so_o that_o they_o be_v equal_o distant_a from_o the_o aequator_fw-la perioeci_n be_v the_o inhabitant_n of_o two_o place_n which_o lie_v in_o the_o same_o parallel_n and_o in_o divers_a semicircle_n of_o the_o same_o meridian_n sometime_o the_o word_n be_v take_v for_o all_o the_o inhabitant_n of_o any_o one_o climate_n but_o to_o avoid_v confusion_n we_o shall_v abstain_v from_o that_o use_n of_o it_o antipode_n be_v the_o inhabitant_n of_o two_o place_n which_o diametrical_o be_v oppose_v one_o to_o the_o other_o note_v that_o these_o three_o word_n be_v so_o take_v for_o the_o most_o part_n that_o they_o denote_v the_o inhabitant_n of_o both_o place_n which_o be_v compare_v as_o we_o define_v they_o but_o yet_o sometime_o when_o any_o certain_a place_n be_v adjoin_v to_o they_o they_o only_o denote_v the_o other_o place_n as_o when_o we_o say_v the_o perioeci_n or_o antipode_n of_o this_o or_o that_o place_n proposition_n i._o those_o who_o live_v in_o the_o same_o semicircle_n of_o the_o same_o meridian_n they_o have_v also_o the_o same_o meridies_n or_o 12_o hour_n and_o also_o reckon_v together_o all_o the_o other_o hour_n for_o the_o meridies_n be_v define_v by_o the_o existency_n or_o appulse_n of_o the_o sun_n to_o the_o meridian_n because_o therefore_o those_o place_n of_o the_o earth_n which_o inhabit_v in_o the_o same_o meridian_n of_o the_o earth_n have_v also_o the_o same_o meridian_n of_o the_o heaven_n thence_o it_o be_v manifest_a that_o the_o sun_n in_o the_o same_o meridian_n to_o those_o that_o inhabit_v it_o make_v the_o meridies_n and_o the_o 12_o hour_n to_o they_o all_o at_o one_o time_n moreover_o a_o hour_n be_v define_v to_o be_v that_o 24_o part_n of_o that_o time_n which_o intercede_v between_o two_o vicine_fw-la noon_n or_o appulse_n of_o the_o sun_n to_o the_o same_o semicircle_n of_o the_o meridian_n because_o therefore_o that_o it_o be_v the_o same_o time_n which_o intercede_v between_o the_o two_o meridies_n of_o the_o place_n of_o the_o same_o meridian_n therefore_o also_o the_o 24_o part_n of_o the_o same_o shall_v be_v equal_a and_o the_o same_o in_o all_o and_o on_o that_o account_n they_o shall_v together_o number_v all_o their_o hour_n from_o the_o meridies_n proposition_n ii_o they_o which_o dwell_v in_o the_o divers_a hemisphere_n of_o the_o earth_n which_o the_o aequator_fw-la make_v or_o distinguish_v or_o those_o who_o live_v in_o the_o divers_a part_n or_o quarter_n of_o the_o aequator_fw-la they_o i_o say_v have_v contrary_a season_n of_o the_o year_n at_o the_o same_o time_n and_o the_o same_o season_n in_o a_o different_a time_n of_o the_o year_n so_o that_o in_o one_o hemisphere_n it_o be_v winter_n when_o as_o in_o the_o other_o it_o be_v summer_n and_o when_o the_o spring_n be_v in_o that_o autumn_n be_v in_o this_o make_v of_o the_o different_a season_n which_o the_o aequator_fw-la make_v for_o the_o summer_n begin_v in_o every_o place_n according_a to_o the_o celestial_a course_n viz._n the_o motion_n of_o the_o sun_n when_o he_o obtain_v a_o small_a distance_n from_o the_o vertex_fw-la of_o the_o place_n the_o winter_n when_o a_o great_a distance_n now_o because_o the_o sun_n move_v from_o one_o hemisphere_n to_o the_o other_o thence_o it_o come_v to_o pass_v that_o when_o it_o draw_v near_o the_o place_n of_o one_o hemisphere_n it_o more_o and_o more_o depart_v from_o the_o place_n of_o the_o other_o and_o so_o the_o summer_n of_o one_o hemisphere_n agree_v in_o time_n with_o the_o winter_n of_o another_o and_o the_o spring_n of_o one_o with_o the_o autumn_n of_o another_o in_o the_o place_n of_o the_o torrid_a zone_n the_o vicissitude_n of_o the_o season_n have_v something_o peculiar_a 26._o see_v chap._n 26._o of_o which_o we_o have_v treat_v at_o large_a in_o the_o 26_o chapter_n proposition_n iii_o those_o who_o live_v in_o the_o northern_a hemisphere_n of_o the_o earth_n to_o they_o when_o they_o turn_v their_o face_n towards_o the_o aequator_fw-la the_o east_n be_v on_o the_o left_a hand_n and_o the_o west_n on_o the_o right_n the_o south_n before_o they_o and_o the_o north_n behind_o they_o those_o who_o inhabit_v the_o southern_a hemisphere_n of_o the_o earth_n they_o turn_v their_o face_n to_o the_o aequator_fw-la the_o star_n rise_v on_o their_o right_a hand_n and_o set_v on_o their_o left_a aequator_fw-la of_o those_o
fall_v into_o e_o a_o if_o that_o need_n be_v to_o protract_v it_o but_o the_o more_o easy_a invention_n in_o practice_n be_v if_o that_o right_a line_n be_v draw_v from_o b_o through_o every_o degree_n of_o the_o quadrant_n b_o a_n b_o c_o even_a to_o the_o protend_v line_n a_o c_o which_o make_v these_o point_n a_o b_o c_o d_o e_o and_o the_o like_a so_o that_o 1_o a_o shall_v be_v the_o diameter_n of_o the_o meridian_n through_o which_o the_o 1_o ought_v to_o pass_v and_o the_o 26_o of_o that_o which_o pass_v through_o the_o 2_o and_o so_o the_o 3_o c_o 4_o d_o etc._n etc._n if_o therefore_o 14_o 26_o 30_o 4d_o etc._n etc._n be_v bissect_v we_o have_v the_o centre_n of_o the_o meridian_n to_o be_v describe_v but_o the_o operation_n will_v be_v less_o obnoxious_a to_o error_n and_o more_o easy_a especial_o in_o great_a map_n by_o a_o canon_n of_o tangent_n for_o so_o we_o shall_v have_v no_o need_n to_o draw_v line_n for_o to_o divide_v e_o a_o e_o c_o e_o b_o e_o d_o into_z degree_n we_o thus_o act_v we_o divide_v e_z b_o in_o the_o opposite_a scale_n into_o 10000_o part_n then_o from_o the_o canon_n we_o take_v tangent_n ½_n degree_n 1_o deg_fw-la 1_o ½_n deg_fw-la 2_o 2_o ½_n 3_o 3_o ½_n 4_o and_o the_o like_a and_o we_o put_v every_o one_o of_o these_o tangent_n take_v from_o the_o opposite_a scale_n in_o e_z a_o e_o c_o e_o b_o e_o d_o from_z e_z so_o two_o near_a point_n shall_v contain_v one_o degree_n the_o ascription_n must_v be_v make_v as_o before_o then_o at_o the_o centre_n of_o every_o one_o of_o the_o meridian_n to_o be_v find_v in_o e_z a_o e_o c_o the_o number_n must_v be_v take_v from_o 90_o degree_n or_o the_o very_a number_n from_o the_o compliment_n itself_o let_v the_o tangent_fw-la of_o the_o residue_n be_v take_v from_o the_o canon_n and_o be_v place_v from_o e_o in_o e_z c_o or_o e_z a._n the_o term_n shall_v be_v the_o centre_n of_o the_o meridian_n to_o be_v describe_v through_o the_o assume_v degree_n so_o we_o must_v do_v with_o all_o the_o meridian_n practice_n will_v show_v this_o to_o be_v easy_a the_o foundation_n of_o this_o latter_a operation_n for_o the_o find_v out_o the_o centre_n be_v a_o trigonometrical_a theorem_fw-la the_o difference_n of_o the_o tangent_n of_o two_o arch_n together_o fill_v up_o the_o quadrant_n be_v double_a to_o the_o tangent_fw-la of_o the_o difference_n of_o the_o arch_n so_o therefore_o the_o meridian_n be_v represent_v to_o draw_v the_o arch_n of_o the_o parallel_n the_o meridian_n d_o b_o must_v be_v divide_v after_o the_o same_o manner_n into_o 180_o degree_n as_o the_o quadrant_n of_o the_o aequator_fw-la e_o a_o e_o c_o if_o that_o occult_a line_n be_v draw_v from_o c_o to_o every_o degree_n of_o the_o periphery_n d_o a_o b_o but_o there_o be_v no_o need_n of_o this_o when_o those_o part_n may_v be_v transfer_v from_o e_z a_o into_z e_z b_o the_o points_z or_o degree_n from_o e_o towards_z b_o must_v be_v number_v from_o the_o aequator_fw-la to_o the_o pole_n 1_o 2_o 3_o 4_o and_o the_o like_a so_o from_o e_z towards_o the_o other_o pole_n d._n then_o through_o every_o one_o of_o these_o point_n and_o degree_n of_o the_o quadrant_n of_o the_o like_a name_v number_n a_o b_o c_o b_o the_o arch_n of_o the_o circle_n must_v be_v describe_v viz._n through_o the_o first_o degree_n then_o from_o the_o begin_n of_o the_o three_o and_o the_o like_a and_o so_o from_o the_o other_o quarter_n of_o the_o aequator_fw-la towards_o d._n so_o we_o obtain_v the_o parallel_n of_o all_o degree_n and_o the_o polary_a tropic_n with_o their_o meridian_n first_o find_v out_o ecliptic_a a_o twofold_a method_n for_o the_o design_v the_o ecliptic_a to_o design_v the_o ecliptic_a there_o be_v a_o twofold_a method_n for_o we_o either_o put_v the_o situation_n of_o the_o ecliptic_a on_o or_o above_o the_o earth_n that_o his_o intersection_n with_o the_o aequator_fw-la or_o the_o begin_n of_o aries_n may_v hang_v over_o the_o place_n e_o and_o in_o this_o situation_n the_o projecture_n of_o the_o semicircle_n of_o the_o ecliptic_a from_o the_o 1_o deg_fw-la of_o cancer_n to_o the_o 1_o of_o capricorn_n on_o the_o table_n be_v a_o right_a line_n to_o wit_n let_v the_o 23_o deg_fw-la 30_o min._n be_v number_v from_o a_o towards_z b_o and_o let_v the_o diameter_n be_v draw_v through_o e_o from_o the_o term_n of_o the_o numeration_n this_o shall_v represent_v the_o semicircle_n of_o the_o ecliptic_a in_o that_o situation_n which_o line_n shall_v be_v divide_v after_o the_o same_o mode_n into_o degree_n as_o the_o semiquator_fw-la a_o c._n for_o the_o point_n in_o the_o quadrant_n b_o c_o where_o the_o arctic_a circle_n fall_v in_o viz._n 66_o ½_n of_o a_o degree_n be_v that_o from_o whence_o if_o that_o straight_a line_n be_v draw_v to_o every_o degree_n of_o the_o semiperiphery_n f_o a_o d_o g_o they_o shall_v cut_v e_o f_o into_o 90_o degree_n and_o after_o the_o same_o mode_n e_o g_o to_o which_o the_o number_n and_o sign_n of_o aries_n taurus_n gemini_fw-la and_o so_o on_o must_v be_v ascribe_v if_o the_o scrituation_n of_o the_o ecliptic_a be_v put_v such_o that_o his_o intersection_n and_o that_o of_o the_o aequator_fw-la may_v hang_v over_o the_o place_n a_o in_o the_o first_o meridian_n than_o his_o projecture_n shall_v become_v a_o portion_n of_o the_o eclipse_n who_o two_o point_n be_v a_o c_o the_o three_o that_o in_o which_o the_o meridian_n 90_o cut_v the_o tropic_a of_o cancer_n the_o other_o point_n shall_v be_v find_v by_o the_o same_o mode_n which_o we_o have_v explain_v in_o the_o first_o mode_n viz._n if_o that_o we_o have_v the_o declination_n and_o right_a ascension_n of_o the_o 15_o degree_n of_o aries_n the_o 1_o of_o taurus_n the_o 15_o of_o taurus_n and_o the_o like_a where_o the_o parallel_n of_o every_o one_o of_o the_o degree_n of_o the_o declination_n cut_v the_o meridian_n take_v for_o every_o right_a ascension_n those_o point_n of_o the_o section_n be_v the_o 15_o of_o aries_n the_o 1_o of_o taurus_n and_o so_o on_o through_o those_o therefore_o if_o a_o crooked_a line_n be_v draw_v we_o shall_v have_v the_o projecture_n of_o the_o ecliptic_a because_o it_o so_o remain_v continue_v in_o two_o hemisphere_n moreover_o to_o the_o ascribe_v of_o every_o one_o of_o these_o place_n in_o their_o table_n longitude_n and_o latitude_n must_v be_v except_v from_o the_o table_n of_o every_o place_n and_o where_o the_o parallel_n of_o latitude_n of_o any_o place_n cut_v the_o meridian_n of_o the_o longitude_n of_o the_o same_o place_n that_o point_n represent_v that_o place_n on_o the_o table_n who_o appellation_n be_v to_o be_v ascribe_v and_o so_o all_o the_o place_n be_v to_o be_v design_v after_o the_o same_o method_n the_o whole_a superficies_n of_o the_o earth_n may_v be_v represent_v on_o one_o table_n if_o that_o the_o plain_a of_o the_o first_o meridian_n be_v not_o take_v for_o the_o glass_n but_o one_o parallel_n to_o it_o and_o that_o very_o near_o to_o the_o eye_n for_o so_o whole_a parallel_n and_o whole_a meridian_n or_o every_o continue_a meridian_n may_v be_v describe_v in_o their_o opposite_n but_o thence_o there_o will_v arise_v a_o divers_a appearance_n from_o the_o true_a superficies_n of_o the_o earth_n and_o therefore_o it_o be_v omit_v by_o artificer_n who_o rather_o exhibit_v two_o hemisphere_n on_o one_o map_n but_o it_o be_v useful_a that_o practitioner_n shall_v exercise_v themselves_o in_o these_o but_o than_o it_o will_v be_v more_o commodious_a to_o place_v the_o eye_n in_o the_o first_o meridian_n so_o that_o b_o d_o may_v be_v the_o first_o the_o line_n of_o the_o aequator_fw-la shall_v not_o be_v a_o c_o but_o another_o draw_v from_o the_o point_n of_o the_o right_a line_n e_o d_o which_o shall_v be_v divide_v into_o so_o many_o degree_n as_o be_v in_o the_o arch_n take_v away_o by_o the_o same_o artifice_n the_o second_o praise_n be_v that_o it_o apt_o exhibit_v the_o hemisphere_n intercept_v between_o the_o pole_n the_o three_o be_v that_o it_o almost_o show_v the_o latitude_n and_o longitude_n of_o every_o place_n and_o distance_n from_o the_o aequator_fw-la and_o pole_n as_o they_o lie_v in_o the_o earth_n defect_n the_o defect_n the_o defect_n be_v that_o first_o it_o have_v unequal_a degree_n of_o the_o aequator_fw-la viz._n in_o how_o much_o they_o be_v more_o near_o the_o first_o meridian_n d_o a_o b_o or_o the_o opposite_a b_o c_o d_o by_z so_o much_o they_o be_v the_o great_a and_o therefore_o the_o equal_a region_n of_o the_o earth_n in_o these_o table_n be_v also_o make_v unequal_a as_o in_o the_o precede_a mode_n this_o defect_n may_v be_v in_o part_n correct_v if_o the_o eye_n be_v remove_v far_o
to_o the_o deg_fw-la of_o the_o aequator_fw-la 1._o see_v prop._n 1._o because_o the_o aequator_fw-la be_v the_o parallel_n which_o begin_v this_o deg_fw-la but_o according_a to_o the_o ii_o proposition_n i_o take_v the_o sine_fw-la of_o the_o compliment_n 0_o degree_n of_o latitude_n which_o sinus_n be_v 100000_o for_o the_o compliment_n be_v 90_o and_o i_o add_v to_o the_o sine_fw-la of_o the_o compliment_n 1_o deg_fw-la viz._n to_o the_o sine_fw-la 89_o deg_fw-la which_o be_v 99985_o they_o become_v ●99985_n the_o half_a 99992._o therefore_o as_o 99992_o be_v to_o 100000_o so_o be_v 10_o the_o magnitude_n of_o a_o degree_n in_o the_o aequator_fw-la or_o a_o equal_a degree_n to_o 10_o 10_o 100000_o for_o the_o first_o degree_n but_o because_o the_o increase_n above_o 10_o particle_n be_v so_o small_a that_o it_o can_v be_v note_v in_o a_o map_n therefore_o this_o degree_n become_v of_o 10_o particle_n viz._n equal_a to_o a_o degree_n of_o the_o aequator_fw-la but_o in_o progress_n make_v towards_o the_o pole_n the_o degree_n more_o and_o more_o increase_n for_o example_n let_v the_o magnitude_n of_o 66_o degree_n be_v design_v viz._n which_o be_v between_o the_o term_n of_o 59_o degree_n and_o the_o beginning_n of_o 61_o degree_n according_a to_o the_o first_o proposition_n the_o time_n of_o the_o compliment_n of_o the_o 59_o degree_n be_v 51503._o therefore_o as_o 51503_o be_v to_o 100000_o so_o be_v 10_o to_o 19_o ⅖_n particle_n must_v be_v take_v for_o the_o scale_n of_o which_o a_o degree_n in_o the_o aequator_fw-la contain_v 10._o 2._o see_v proposition_n 2._o according_a to_o the_o second_o proposition_n thus_o we_o must_v do_v the_o sine_fw-la of_o the_o compliment_n of_o the_o 50_o deg_fw-la be_v 51503._o the_o sine_fw-la of_o the_o compliment_n of_o the_o 60_o degree_n be_v 50000_o the_o half_a of_o the_o aggregate_v be_v 50751._o therefore_o as_o 50751_o be_v to_o 100000_o so_o be_v 10_o to_o 19_o 3_o ●_o which_o magnitude_n be_v very_o little_o big_a than_o the_o former_a neither_o be_v it_o worth_a the_o pain_n moreover_o when_o the_o magnitude_n of_o the_o second_o solitary_a degree_n be_v find_v it_o must_v be_v add_v to_o the_o magnitude_n of_o the_o first_o degree_n the_o aggregate_v shall_v be_v the_o increase_a latitude_n as_o much_o as_o be_v to_o be_v take_v in_o the_o meridian_n from_o the_o aequator_fw-la for_o the_o term_n of_o the_o second_o degree_n then_o the_o find_v out_o magnitude_n of_o the_o three_o solitary_a degree_n must_v be_v add_v to_o the_o increase_a latitude_n of_o two_o degree_n before_o lay_v down_o so_o we_o shall_v have_v the_o magnitude_n to_o be_v take_v from_o the_o aequator_fw-la in_o the_o meridian_n for_o the_o term_n of_o the_o three_o degree_n and_o so_o you_o must_v do_v with_o the_o other_o degree_n moreover_o that_o the_o labour_n may_v be_v more_o easy_a for_o the_o studious_a i_o have_v here_o set_v down_o a_o table_n for_o the_o take_n of_o the_o term_n of_o every_o degree_n in_o the_o meridian_n i_o take_v such_o particle_n as_o one_o degree_n of_o the_o aequator_fw-la be_v put_v to_o have_v 100_o the_o table_n meridian_n the_o table_n for_o the_o take_v the_o term_n of_o every_o degree_n in_o the_o meridian_n grad_v grad_v grad_v term_n term_n term_n 1_o 100_o 29_o 3032_o 57_o 6970_o 2_o 200_o 30_o 3147_o 58_o 7157_o 3_o 300_o 31_o 3263_o 59_o 7349_o 4_o 400_o ½_n 32_o 3347_o 60_o 7546_o 5_o 500_o ⅔_n 33_o 3499_o 61_o 7749_o 6_o 601_o 34_o 3619_o 62_o 7960_o 7_o 702_o 35_o 3740_o 63_o 8175_o 8_o 802_o 36_o 3863_o 64_o 8399_o 9_o 903_o 37_o 3988_o 65_o 8631_o 10_o 1005_o 38_o 4114_o 66_o 8872_o 11_o 1107_o 39_o 4241_o 67_o 9023_o 12_o 1209_o 40_o 4371_o 68_o 9384_o 13_o 1311_o 41_o 4502_o 69_o 9691_o 14_o 1414_o 42_o 4636_o 70_o 9943_o 15_o 1517_o 43_o 4772_o 71_o 10243_o 16_o 1621._o 44_o 4909_o 72_o 10558_o 17_o 1725_o 45_o 5053_o 73_o 10900_o 18_o 1830_o 46_o 5193_o 74_o 11243_o 19_o 1936_o 47_o 5338_o 75_o 11617_o 20_o 2042_o 48_o 5486_o 76_o 12017_o 21_o 2150_o 49_o 5637_o 77_o 12445_o 22_o 2256_o 50_o 5791_o 78_o 12908_o 23_o 2364_o 51_o 5981_o 79_o 13409_o 24_o 2473_o 52_o 6109_o 80_o 13960_o 25_o 2583_o 53_o 6274_o 81_o 14565_o 26_o 2694_o 54_o 6441_o 82_o 15243_o 27_o 2806_o 55_o 6611_o 83_o 16009_o 28_o 2918_o 56_o 6790_o  _fw-fr  _fw-fr the_o degree_n of_o latitude_n be_v so_o design_v in_o the_o first_o meridian_n let_v parallel_n line_n be_v draw_v through_o every_o one_o of_o they_o with_o the_o aequator_fw-la which_o shall_v be_v the_o circle_n of_o latitude_n and_o let_v the_o inscription_n of_o every_o one_o of_o the_o place_n be_v in_o the_o point_n where_o the_o circle_n of_o longitude_n and_o latitude_n of_o the_o place_n do_v meet_v but_o the_o region_n about_o the_o pole_n less_o apt_o and_o overmuch_o contrary_a to_o their_o natural_a disposition_n be_v exhibit_v in_o map_n of_o this_o kind_n therefore_o the_o part_n between_o the_o pole_n and_o the_o polary_n circle_n be_v wont_a to_o be_v adjoin_v to_o the_o universal_a map_n in_o two_o peculiar_a little_a map_n make_v according_a to_o the_o first_o mode_n map_n the_o use_n of_o these_o map_n the_o use_n of_o these_o map_n be_v such_o 1._o the_o latitude_n and_o longitude_n of_o place_n be_v find_v as_o in_o the_o precede_a 2._o the_o place_n a_o be_v give_v from_o whence_o you_o sail_v and_o the_o place_n b_o to_o which_o you_o sail_v the_o quarter_n be_v exhibit_v to_o which_o the_o ship_n be_v to_o steer_v her_o course_n for_o if_o a_o parallel_n be_v draw_v through_o a_o and_o the_o right_a line_n a_o b_o the_o angle_n which_o these_o two_o line_n make_v shall_v show_v the_o quarter_n mariner_n use_v another_o mode_n 3._o they_o will_v find_v the_o distance_n between_o two_o give_v place_n it_o the_o interval_n of_o those_o two_o place_n be_v take_v with_o a_o compass_n and_o transfer_v to_o the_o divide_a meridian_n so_o that_o the_o foot_n of_o the_o compass_n may_v be_v equal_o absent_a from_o the_o parallel_n which_o be_v in_o the_o middle_n between_o these_o place_n but_o these_o i_o think_v to_o be_v less_o exact_a the_o six_o and_o seven_o mode_n scheme_n see_v ptolemy_n in_o his_o latter_a chap._n of_o his_o first_o book_n of_o geography_n see_v scheme_n ptolemy_n in_o the_o latter_a part_n of_o his_o last_o chapter_n of_o his_o first_o book_n of_o geography_n propose_v another_o mode_n and_o teach_v by_o that_o to_o represent_v the_o part_n of_o the_o earth_n then_o know_v in_o this_o method_n the_o aequator_fw-la and_o circle_n of_o latitude_n become_v the_o arch_n of_o the_o circle_n the_o meridian_n become_v elliptical_a arch_n the_o eye_n be_v place_v to_o hang_v over_o the_o meridian_n which_o be_v the_o midst_n between_o the_o extremity_n of_o the_o inhabit_a earth_n and_o in_o the_o middle_a place_n between_o the_o extreme_a degree_n of_o know_a latitude_n but_o by_o reason_n of_o the_o inconvenience_n of_o describe_v the_o ellipsis_n and_o because_o it_o be_v devise_v by_o ptolemy_n more_o to_o represent_v part_n of_o the_o earth_n viz._n that_o which_o be_v inhabit_v therefore_o it_o be_v not_o use_v by_o artificer_n to_o this_o that_o mode_n be_v something_o like_a which_o exhibit_v circle_n of_o latitude_n by_o right_a line_n but_o the_o meridian_n by_o the_o semissis_fw-la of_o the_o ellipsis_n such_o as_o the_o projecture_n be_v if_o you_o conceive_v perpendicular_a line_n to_o fall_v from_o every_o point_n of_o either_o hemisphere_n on_o the_o place_n of_o the_o first_o meridian_n but_o the_o eye_n must_v be_v suppose_v to_o be_v remove_v by_o a_o infinite_a space_n from_o the_o earth_n so_o that_o all_o the_o ray_n from_o the_o place_n of_o the_o earth_n be_v draw_v to_o it_o may_v be_v account_v for_o parallel_n and_o perpendicular_o to_o the_o plain_a of_o the_o first_o meridian_n as_o dialist_n say_v that_o all_o the_o ray_n emit_v from_o some_o point_n of_o the_o sun_n to_o the_o earth_n do_v so_o little_a bend_n that_o they_o may_v be_v esteem_v for_o parallel_n and_o do_v make_v the_o same_o appearance_n in_o shadow_n but_o it_o be_v not_o very_o difficult_a if_o therefore_o you_o intend_v to_o represent_v in_o this_o form_n the_o hemisphere_n of_o the_o earth_n take_v any_o point_n in_o the_o plain_n e_o and_o from_o that_o as_o from_o a_o centre_n let_v the_o periphery_n a_o b_o c_o d_o be_v describe_v let_v the_o quadrant_n be_v a_o b_o b_o c_o c_o d_o d_o a_o let_v every_o one_o be_v divide_v into_o 90_o degree_n begin_v from_o a_o c_o towards_z b_o and_z a_o b_o a_o d_o shall_v be_v the_o first_o meridian_n b_o c_o d_o the_o opposite_a in_o the_o right_a line_n b_o d_o the_o middle_a between_o these_o be_v the_o 90_o from_o the_o first_o b_o a_o d._n
wax_n commodity_n commodity_n and_o excellent_a warlike_a horse_n who_o mane_n be_v say_v to_o hang_v down_o to_o their_o foot_n their_o fruit_n be_v good_a and_o in_o great_a plenty_n and_o the_o earth_n be_v enrich_v with_o mine_n of_o several_a metal_n it_o be_v seat_v in_o the_o northern_a temperate_a zone_n between_o the_o seven_o and_o 10_o climate_n which_o make_v the_o long_a day_n to_o be_v 17_o hour_n people_n it_o be_v people_n the_o people_n be_v well_o make_v and_o proportionate_a they_o be_v headstrong_a resolute_a in_o their_o opinion_n and_o of_o no_o ready_a wit_n they_o use_v the_o sclavonian_a language_n they_o be_v christian_n and_o follow_v the_o greek_a church_n the_o kingdom_n at_o present_a be_v divide_v into_o several_a province_n as_o in_o the_o geographical_a table_n of_o turkey_n in_o europe_n be_v set_v down_o all_o which_o be_v subject_a to_o the_o grand_a signior_n transilvania_n province_n of_o transilvania_n the_o province_n of_o transilvania_n have_v for_o its_o chief_a place_n 1._o waranine_n far_o engage_v towards_o the_o west_n and_o it_o be_v a_o frontier_n town_n to_o hungaria_n and_o of_o some_o account_n and_o strength_n 2._o hermensted_n more_o towards_o moldavia_n 3._o weisenburg_n 4._o burges_n 5._o and_o hanyad_n bosnia_n province_n of_o bosnia_n the_o province_n of_o bosnia_n have_v for_o its_o chief_a place_n 1._o saraih_o the_o metropolitan_a city_n seat_v in_o a_o fruitful_a valley_n which_o on_o the_o north_n and_o south_n side_n be_v immure_v with_o ridge_n of_o pleasant_a hill_n of_o a_o easy_a ascent_n this_o city_n be_v say_v to_o contain_v about_o 80_o mescheetoe_n and_o about_o 20000_o house_n which_o for_o the_o most_o part_n be_v but_o mean_o build_v 2._o bagnialuch_v once_o the_o residence_n of_o the_o bosnian_a king_n and_o 3._o jayeza_n the_o usual_a sepulchre_n of_o those_o king_n servia_n province_n of_o servia_n the_o province_n of_o servia_n who_o chief_a city_n be_v 1._o belgrade_n once_o the_o bulwark_n of_o christendom_n valiant_o resist_v the_o power_n of_o amurath_n the_o 6_o and_o mahomet_n the_o great_a but_o yield_v to_o solyman_n anno_fw-la 1520_o when_o this_o whole_a country_n become_v a_o turkish_a province_n 2._o stonebourgh_n once_o the_o seat_n of_o its_o despot_n and_o 3._o samandria_n bulgaria_n province_n of_o bulgaria_n the_o province_n of_o bulgaria_n have_v for_o its_o chief_a place_n 1._o sofia_n the_o seat_n of_o the_o beglerbeg_n of_o greece_n under_o who_o be_v 21_o sangiac_n seat_v almost_o in_o the_o midst_n of_o a_o long_a and_o fruitful_a valley_n beautify_v with_o many_o fair_a hanes_n and_o bath_n the_o chief_a of_o which_o have_v hot_a fountain_n it_o be_v college_n be_v magnificent_a and_o its_o mescheetoe_n be_v many_o and_o beautiful_a especial_o that_o in_o the_o midst_n of_o the_o city_n which_o be_v the_o large_a and_o here_o the_o door_n of_o the_o house_n of_o the_o christian_n and_o jew_n be_v not_o above_o 3_o foot_n high_a which_o be_v so_o make_v to_o keep_v out_o the_o turkish_a horse_n who_o will_v else_o in_o their_o travel_n make_v they_o serve_v instead_o of_o stable_n so_o great_a be_v the_o slavery_n that_o they_o live_v under_o 2._o oesco_n 3._o novi_fw-la 4._o durostoro_fw-it and_o 5._o destor_n all_o which_o be_v seat_v on_o the_o danube_n 6._o proslavia_n seat_v at_o the_o mouth_n of_o one_o of_o the_o branch_n of_o the_o danube_n at_o its_o fall_n into_o the_o euxine_a sea_n 7._o calutra_n and_o 8._o varna_n both_o seat_v on_o the_o euxine_a or_o black_a sea_n moldavia_n province_n of_o moldavia_n the_o province_n of_o moldavia_n who_o chief_a place_n be_v 1._o zuccania_n once_o the_o seat_n of_o the_o vaivod_n 2._o sotzowa_o and_o 3._o lazy_a both_o good_a city_n bessarabia_n country_n of_o bessarabia_n to_o the_o province_n of_o moldavia_n do_v belong_v the_o small_a country_n of_o bessarabia_n which_o lie_v between_o podolia_n and_o bulgaria_n and_o be_v commodious_o seat_v on_o the_o black_a 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and_o thessaly_n which_o be_v now_o call_v junna_n epirus_n now_o canina_n achaia_n and_o aetolla_n now_o livadia_n and_o peloponnesus_n now_o the_o morea_n bound_n its_o bound_n greece_n esteem_v the_o mother_n of_o art_n and_o science_n have_v for_o its_o eastern_a bound_n the_o egean_a sea_n the_o hellespont_n propontis_n and_o thracian_a bosphorus_n and_o for_o its_o western_a the_o adriatic_a sea_n and_o italy_n it_o be_v seat_v in_o the_o northern_a temperate_a zone_n under_o the_o 5_o and_o 6_o climate_n the_o long_a day_n be_v 15_o hour_n commoty_n it_o be_v sertllity_n and_o commoty_n the_o soil_n without_o doubt_n be_v very_o rich_a and_o fruitful_a and_o will_v be_v very_o prositable_a to_o the_o husbandman_n if_o pain_n be_v take_v in_o till_v it_o but_o the_o great_a turk_n seize_v on_o their_o estate_n when_o and_o as_o often_o as_o he_o please_v make_v they_o careless_a to_o cultivate_v it_o yet_o here_o be_v find_v several_a good_a commodity_n which_o be_v transport_v 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another_o of_o jerusalem_n and_o another_o of_o antioch_n free_o exercise_v their_o religion_n which_o differ_v much_o from_o the_o church_n of_o rome_n as_o i_o shall_v in_o place_n elsewhere_o take_v notice_n o●_n and_o have_v every_o where_o their_o temple_n and_o monastery_n if_o a_o patriarch_n die_v another_o be_v elect_v by_o the_o synod_n of_o bishop_n breed_v famous_a man_n here_o breed_v this_o country_n have_v breed_v several_a famous_a man_n as_o alexander_z the_o subverter_n of_o the_o persian_a monarchy_n xenophon_n plutarch_n herodotus_n and_o thucydides_n famous_a historiographer_n epaminondas_n pyrrhus_n miltiades_n and_o aristides_n captain_n plato_n aristotle_n socrates_n and_o theophrastus_n divine_a philosopher_n demosthenes_n aeschines_n and_o isocrates_n eloquent_a orator_n with_o several_a other_o too_o tedious_a to_o name_n but_o to_o proceed_v to_o the_o province_n romania_n province_n of_o romania_n romania_n particular_o so_o call_v a_o country_n of_o itself_o neither_o of_o a_o rich_a soil_n nor_o pleasant_a air_n more_o
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