where_o the_o reckon_a end_n for_o that_o be_v the_o place_n of_o the_o antaeci_n the_o give_a place_n continue_v under_o the_o brazen_a meridian_n set_v the_o index_n of_o the_o horary_a circle_n at_o noon_n and_o turn_v the_o globe_n about_o till_o the_o same_o point_n at_o midnight_n or_o the_o low_a 12._o the_o place_n which_o then_o come_v to_o the_o meridian_n have_v the_o same_o latitude_n with_o the_o former_a be_v that_o of_o the_o perioeci_n as_o for_o the_o antipode_n of_o the_o give_v place_n reckon_v from_o the_o say_a place_n upon_o the_o brazen_a meridian_n 180_o degree_n either_o south_n or_o north_n or_o as_o many_o degree_n beyond_o the_o far_a pole_n as_o you_o be_v to_o the_o near_a and_o observe_v exact_o where_o the_o reckon_a end_n for_o that_o be_v the_o place_n desire_v prob._n 10._o to_o know_v what_o a_o clock_n it_o be_v by_o the_o globe_n in_o any_o place_n of_o the_o world_n and_o at_o any_o time_n provide_v you_o know_v the_o hour_n of_o the_o day_n where_o you_o be_v at_o the_o same_o time_n bring_v the_o place_n in_o which_o you_o be_v to_o the_o brazen_a meridian_n the_o pole_n be_v raise_v 3._o according_a to_o the_o latitude_n thereof_o and_o set_v the_o index_n of_o the_o horary_a circle_n at_o the_o hour_n of_o the_o day_n at_o that_o time_n then_o bring_v the_o desire_a place_n to_o the_o brazen_a meridian_n and_o the_o index_n will_v point_v out_o the_o present_a hour_n at_o that_o place_n where_o ever_o it_o be_v prob._n 11._o to_o know_v by_o the_o globe_n when_o the_o great_a mogul_n of_o india_n and_o czar_n of_o moscovia_n sit_v down_o to_o dinner_n this_o be_v only_o to_o know_v when_o its_o noon_n at_o agra_n and_o moscow_n the_o imperial_a seat_n of_o those_o mighty_a monarch_n which_o we_o may_v very_o easy_o do_v at_o what_o time_n soever_o it_o be_v or_o wheresoever_o we_o be_v for_o find_v by_o the_o forego_n problem_n the_o present_a hour_n of_o the_o day_n in_o the_o city_n abovementioned_a suppose_v withal_o that_o midday_n in_o the_o aforesaid_a city_n be_v dining-time_n we_o may_v ready_o determine_v how_o near_o it_o be_v to_o the_o time_n desire_v prob._n 12._o to_o find_v the_o hour_n of_o the_o day_n by_o the_o globe_n at_o any_o time_n when_o the_o sun_n shine_v divide_v your_o ecliptic_a line_n in_o twenty_o four_o equal_a part_n and_o in_o small_a figure_n set_v down_o the_o hour_n of_o the_o natural_a day_n after_o the_o follow_a manner_n at_o the_o intersection_n of_o the_o ecliptic_a and_o equator_fw-la place_n the_o figure_n 6_o and_o bring_v both_o those_o figure_n to_o the_o brazen_a meridian_n one_o be_v in_o the_o upper_a and_o the_o other_o in_o the_o low_a hemisphere_n which_o do_v place_v the_o twelve_o figure_n in_o the_o western_a hemisphere_n in_o this_o order_n follow_v 6_o 7_o 8_o 9_o 10_o 11_o 12_o 1_o 2_o 3_o 4_o 5_o 6._o begin_v then_o at_o the_o same_o figure_n of_o 6_o and_o proceed_v eastward_o set_v down_o the_o other_o twelve_o figure_n thus_o 6_o 5_o 4_o 3_o 2_o 1_o 12_o 11_o 10_o 9_o 8_o 7_o 6._o the_o equinoctial_a be_v thus_o divide_v and_o mark_v elevate_v the_o globe_n 3._o according_a to_o the_o latitude_n of_o the_o place_n where_o you_o be_v and_o bring_v the_o intersection_n of_o the_o vernal_a equinox_n to_o the_o upper_a part_n of_o the_o brazen_a meridian_n and_o situate_a the_o globe_n 2._o due_o south_n and_o north_n observe_v exact_o that_o half_a of_o the_o globe_n upon_o which_o the_o sun_n do_v actual_o shine_v for_o the_o last_o part_n of_o the_o enlighten_v hemisphere_n do_v always_o show_v the_o hour_n of_o the_o day_n upon_o the_o equinoctial_a line_n prob._n 13._o the_o latitude_n of_o the_o place_n and_o height_n of_o the_o sun_n be_v give_v at_o any_o time_n to_o find_v thereby_o the_o hour_n of_o the_o day_n the_o globe_n be_v rectify_v 2._o according_a to_o the_o latitude_n of_o the_o give_v place_n and_o the_o height_n of_o the_o sun_n at_o that_o time_n be_v find_v by_o a_o exact_a quadrant_n mark_v his_o place_n in_o the_o ecliptic_a 6._o for_o the_o give_v day_n and_o bring_v the_o same_o to_o the_o brazen_a meridian_n after_o this_o fix_v the_o quadrant_n of_o altitude_n in_o the_o zenith_n and_o mark_v in_o the_o say_a quadrant_n the_o particular_a degree_n of_o the_o sun_n altitude_n and_o place_v the_o index_n of_o the_o horary_a circle_n at_o noon_n move_v the_o globe_n together_o with_o the_o quadrant_n of_o altitude_n till_o the_o sun_n place_n mark_v in_o the_o ecliptic_a and_o his_o degree_n of_o altitude_n mark_v upon_o the_o say_a quadrant_n do_v come_v both_o in_o one_o which_o do_v observe_v what_o hour_n the_o index_n do_v point_n at_o for_o that_o be_v the_o hour_n desire_v prob._n 14._o the_o latitude_n of_o the_o place_n be_v give_v as_o also_o the_o true_a bear_n of_o the_o sun_n in_o the_o say_a place_n at_o any_o time_n to_o find_v thereby_o the_o hour_n of_o the_o day_n the_o globe_n be_v 2._o rectify_v and_o the_o sun_n place_n 6._o mark_v in_o the_o ecliptic_a fix_v the_o quadrant_n of_o altitude_n in_o the_o zenith_n and_o by_o the_o mariner_n compass_n observe_v the_o true_a bear_n of_o the_o sun_n then_o bring_v the_o quadrant_n of_o altitude_n to_o the_o observe_v point_n of_o the_o compass_n upon_o the_o wooden_a horizon_n and_o move_v the_o globe_n till_o the_o sun_n place_n in_o the_o ecliptic_a coincide_n with_o the_o say_a quadrant_n which_o do_v and_o the_o globe_n continue_v in_o that_o position_n the_o index_n of_o the_o horary_a circle_n will_v point_v at_o the_o hour_n of_o the_o day_n at_o the_o time_n desire_v prob._n 15._o the_o latitude_n of_o the_o place_n and_o sun_n be_v place_n in_o the_o ecliptic_a be_v give_v to_o find_v thereby_o the_o hour_n of_o the_o day_n elevate_v the_o pole_n according_a to_o the_o give_v latitude_n and_o situate_v the_o globe_n due_o south_n and_o north_n 2._o by_o the_o mariner_n compass_n then_o fix_v a_o small_a needle_n perpendicular_o in_o the_o sun_n place_n in_o the_o ecliptic_a and_o bring_v the_o same_o to_o the_o brazen_a meridian_n set_v the_o index_n of_o the_o horary_a circle_n at_o noon_n which_o do_v turn_v the_o globe_n till_o the_o needle_n cast_v no_o shadow_n at_o all_o and_o then_o observe_v the_o index_n for_o it_o will_v then_o point_v at_o the_o true_a hour_n of_o the_o day_n prob._n 16._o any_o place_n be_v give_v to_o move_v the_o globe_n so_o as_o that_o the_o wooden_a horizon_n shall_v be_v the_o horizon_n of_o the_o same_o bring_v the_o give_v place_n to_o the_o brazen_a meridian_n and_o reckon_v from_o it_o upon_o the_o say_a meridian_n the_o number_n of_o 90_o degree_n towards_o either_o of_o the_o pole_n and_o where_o the_o reckon_a end_n place_v that_o part_n of_o the_o meridian_n in_o the_o notch_n of_o the_o wooden_a horizon_n and_o it_o will_v prove_v the_o horizon_n of_o the_o give_v place_n prob._n 17._o to_o find_v the_o meridian-line_n by_o the_o globe_n in_o any_o place_n and_o at_o any_o time_n of_o the_o day_n the_o latitude_n of_o the_o place_n be_v know_v and_o the_o globe_n 2._o elevate_v according_o observe_v the_o height_n of_o the_o sun_n above_o the_o horizon_n at_o that_o time_n and_o draw_v upon_o a_o true_a plain_n a_o straight_a line_n in_o or_o parallel_v to_o the_o shadow_n of_o a_o style_n perpendicular_o erect_v upon_o that_o plain_a in_o which_o describe_v a_o circle_n at_o any_o open_n of_o the_o compass_n and_o find_v 6._o the_o sun_n place_n in_o the_o ecliptic_a and_o mark_v his_o observe_a height_n in_o the_o quadrant_n of_o altitude_n then_o move_v the_o globe_n together_o with_o the_o say_a quadrant_n till_o that_o mark_n in_o the_o quadrant_n and_o the_o sun_n place_n in_o the_o ecliptic_a come_v both_o in_o one_o which_o do_v count_v upon_o the_o wooden_a horizon_n the_o number_n of_o degree_n between_o the_o quadrant_n of_o altitude_n and_o the_o brazen_a meridian_n and_o set_v off_o the_o same_o number_n of_o degree_n upon_o the_o aforesaid_a circle_n draw_v upon_o the_o plain_a by_o make_v a_o visible_a point_n in_o the_o circumference_n where_o the_o reckon_a end_n begin_v still_o at_o the_o side_n towards_o the_o sun_n and_o proceed_v east_n or_o west_n according_a to_o the_o time_n of_o the_o day_n then_o draw_v a_o line_n from_o that_o point_n in_o the_o circumference_n through_o the_o centre_n of_o the_o say_a circle_n and_o the_o same_o will_v prove_v the_o true_a meridian-line_n of_o that_o place_n at_o what_o time_n soever_o the_o observation_n be_v make_v prob._n 18._o a_o place_n be_v give_v in_o the_o torrid_a zone_n to_o find_v those_o day_n in_o which_o the_o sun_n shall_v be_v vertical_a to_o the_o same_o bring_v the_o give_v place_n to_o the_o brazen_a meridian_n and_o
13._o there_o be_v a_o certain_a island_n in_o the_o vast_a atlantic_a ocean_n which_o be_v descry_v by_o a_o ship_n at_o sea_n and_o bear_v due_a east_n of_o the_o say_a ship_n at_o twelve_o league_n distance_n per_fw-la estimation_n the_o true_a course_n for_o hit_v of_o the_o say_a island_n be_v to_o steer_v six_o league_n due_a east_n and_o just_a as_o many_o due_a west_n par._n 14._o there_o be_v a_o remarkable_a place_n on_o the_o globe_n of_o the_o earth_n of_o a_o very_a pure_a and_o wholesome_a air_n to_o breath_n in_o yet_o of_o such_o a_o strange_a and_o detestable_a quality_n that_o it_o be_v absolute_o impossible_a for_o two_o of_o the_o intire_a friend_n that_o ever_o breathe_v to_o continue_v in_o the_o same_o in_o mutual_a love_n and_o friendship_n for_o the_o space_n of_o two_o minute_n of_o time_n par._n 15._o there_o be_v a_o certain_a island_n in_o the_o baltic_a sea_n to_o who_o inhabitant_n the_o body_n of_o the_o sun_n be_v clear_o visible_a in_o the_o morning_n before_o he_o arise_v and_o likewise_o in_o the_o evening_n after_o he_o be_v set_v par._n 16._o there_o be_v a_o certain_a village_n in_o the_o kingdom_n of_o naples_n situate_v in_o a_o very_a low_a valley_n and_o yet_o the_o sun_n be_v near_a to_o the_o inhabitant_n thereof_o every_o noon_n by_o 3000_o mile_n and_o upward_o than_o when_o he_o either_o rise_v or_o set_v to_o those_o of_o the_o say_a village_n par._n 17._o there_o be_v a_o certain_a village_n in_o the_o south_n of_o great_a britain_n to_o who_o inhabitant_n the_o body_n of_o the_o sun_n be_v less_o visible_a about_o the_o winter_n solstice_n than_o to_o those_o who_o reside_v upon_o the_o island_n of_o ice-land_n par._n 18._o there_o be_v a_o vast_a country_n in_o ethiopia_n superior_a to_o who_o inhabitant_n the_o body_n of_o the_o moon_n do_v always_o appear_v to_o be_v most_o enlighten_v when_o she_o be_v least_o enlighten_v and_o to_o be_v least_o when_o most_o par._n 19_o there_o be_v a_o certain_a island_n whereof_o mention_n be_v make_v by_o several_a of_o our_o late_a geographer_n who_o inhabitant_n can_v proper_o be_v reckon_v either_o male_a or_o female_a nor_o altogether_o hermaphrodite_n yet_o such_o be_v their_o peculiar_a quality_n that_o they_o be_v seldom_o liable_a unto_o either_o hunger_n or_o thirst_n cold_a or_o heat_n joy_n or_o sorrow_n hope_n or_o fear_n or_o any_o such_o of_o the_o common_a attendant_n of_o human_a life_n par._n 20._o there_o be_v a_o remarkable_a place_n of_o the_o earth_n of_o a_o considerable_a southern_a latitude_n from_o who_o meridian_n the_o sun_n remove_v not_o for_o several_a day_n at_o a_o certain_a time_n of_o the_o year_n par._n 21._o there_o be_v a_o certain_a place_n of_o the_o earth_n of_o a_o considerable_a northern_a latitude_n where_o though_o the_o day_n and_o night_n even_o when_o short_a do_v consist_v of_o several_a hour_n yet_o in_o that_o place_n its_o midday_n or_o noon_n every_o quarter_n of_o a_o hour_n par._n 22._o there_o be_v divers_a place_n on_o the_o globe_n of_o the_o earth_n where_o the_o sun_n and_o moon_n yea_o and_o all_o the_o planet_n do_v actual_o rise_v and_o set_v according_a to_o their_o various_a motion_n but_o never_o any_o of_o the_o fix_a star_n par._n 23._o there_o be_v a_o large_a and_o famous_a country_n on_o the_o continent_n of_o africa_n many_o of_o who_o inhabitant_n be_v bear_v perfect_o deaf_a and_o other_o stone-blind_a and_o continue_v so_o during_o their_o whole_a life_n and_o yet_o such_o be_v the_o amaze_a faculty_n of_o those_o person_n that_o the_o deaf_a be_v as_o capable_a to_o judge_v of_o sound_n as_o those_o that_o hear_v and_o the_o blind_a of_o colour_n as_o they_o who_o see_v par._n 24._o there_o be_v a_o certain_a people_n in_o south_n america_n who_o be_v proper_o furnish_v with_o only_a one_o of_o the_o five_o sense_n viz._n that_o of_o touch_v and_o yet_o they_o can_v both_o hear_v and_o see_v taste_v and_o smell_v and_o that_o as_o nice_o as_o we_o european_n who_o have_v all_o the_o five_o par._n 25._o there_o be_v a_o certain_a country_n in_o south_n america_n many_o of_o who_o savage_a inhabitant_n be_v such_o unheard-off_a cannibal_n that_o they_o not_o only_o feed_v upon_o human_a flesh_n but_o also_o some_o of_o they_o do_v actual_o eat_v themselves_o and_o yet_o they_o common_o survive_v that_o strange_a repast_n par._n 26._o there_o be_v a_o remarkable_a river_n on_o the_o continent_n of_o europe_n over_o which_o there_o be_v a_o bridge_n of_o such_o a_o breadth_n that_o above_o three_o thousand_o man_n abreast_n may_v pass_v along_o upon_o the_o same_o and_o that_o without_o crowd_v one_o another_o in_o the_o least_o par._n 27._o there_o be_v a_o large_a and_o spacious_a plain_n in_o a_o certain_a country_n of_o asia_n able_a to_o contain_v six_o hundred_o thousand_o man_n draw_v up_o in_o battle_n array_n which_o number_n of_o man_n be_v actual_o bring_v thither_o and_o there_o draw_v up_o it_o be_v absolute_o impossible_a for_o any_o more_o than_o one_o single_a person_n to_o stand_v upright_o upon_o the_o say_a plain_n par._n 28._o there_o be_v a_o certain_a european_a city_n who_o building_n be_v general_o of_o firm_a stone_n be_v for_o the_o most_o part_n of_o a_o prodigious_a height_n and_o exceed_v strong_a and_o yet_o it_o be_v most_o certain_a that_o the_o wall_n of_o those_o building_n be_v not_o parallel_v to_o one_o another_o nor_o perpendicular_a to_o the_o plain_a on_o which_o they_o be_v build_v par._n 29._o there_o be_v a_o certain_a city_n in_o the_o southern_a part_n of_o china_n who_o inhabitant_n both_o male_a and_o female_a do_v observe_v almost_o the_o same_o posture_n and_o gate_n in_o walk_v as_o we_o european_n and_o yet_o they_o frequent_o appear_v to_o stranger_n as_o if_o they_o walk_v on_o their_o head_n par._n 30._o there_o be_v ten_o place_n of_o the_o earth_n distant_a from_o one_o another_o three_o hundred_o mile_n and_o upward_o and_o yet_o none_o of_o they_o have_v either_o longitude_n or_o latitude_n par._n 31._o there_o be_v two_o distinct_a place_n of_o the_o earth_n lie_v under_o the_o same_o meridian_n who_o difference_n of_o latitude_n be_v sixty_o degree_n complete_o and_o yet_o the_o true_a distance_n between_o those_o two_o place_n do_v not_o real_o surpass_v sixty_o italian_a mile_n par._n 32._o there_o be_v also_o two_o distinct_a place_n of_o the_o earth_n lie_v under_o the_o equinoctial_a line_n who_o difference_n of_o longitude_n be_v complete_o 86_o degree_n ½_o and_o yet_o the_o true_a distance_n between_o those_o two_o place_n be_v not_o full_a eighty_o six_o italian_a mile_n par._n 33._o there_o be_v three_o distinct_a place_n of_o the_o earth_n all_o differ_v both_o in_o longitude_n and_o latitude_n and_o distant_a from_o one_o another_o two_o thousand_o mile_n complete_o and_o yet_o they_o do_v all_o bear_v upon_o one_o and_o the_o same_o point_n of_o the_o compass_n par._n 34._o there_o be_v three_o distinct_a place_n on_o the_o continent_n of_o europe_n equidistant_a from_o one_o another_o they_o make_v a_o true_a equilateral_a triangle_n each_o of_o who_o side_n do_v consist_v of_o a_o thousand_o mile_n and_o yet_o there_o be_v a_o four_o place_n so_o situate_v in_o respect_n of_o the_o other_o three_o that_o a_o man_n may_v travel_v on_o foot_n from_o it_o to_o any_o of_o the_o other_o three_o in_o the_o space_n of_o one_o artificial_a day_n at_o a_o certain_a time_n of_o the_o year_n and_o that_o without_o the_o least_o hurry_n or_o fatigue_n whatsoever_o par._n 35._o there_o be_v three_o distinct_a place_n on_o the_o continent_n of_o europe_n lie_v under_o the_o same_o meridian_n and_o at_o such_o a_o distance_n that_o the_o latitude_n of_o the_o three_o surpass_v that_o of_o the_o second_o by_o so_o many_o degree_n and_o minute_n exact_o as_o the_o second_o surpass_v the_o first_o and_o yet_o the_o true_a distance_n of_o the_o first_o and_o three_o from_o the_o second_o or_o intermediat_a place_n be_v not_o the_o same_o by_o a_o great_a many_o mile_n par._n 36._o there_o be_v two_o distinct_a place_n on_o the_o continent_n of_o europe_n so_o situate_v in_o respect_n of_o one_o another_o that_o though_o the_o first_o do_v lie_v east_n from_o the_o second_o yet_o the_o second_o be_v not_o west_n from_o the_o first_o and_o yet_o both_o of_o they_o be_v under_o the_o same_o parallel_n of_o latitude_n par._n 37._o there_o be_v a_o certain_a european_a island_n the_o northmost_a part_n whereof_o do_v frequent_o alter_v both_o its_o longitude_n and_o latitude_n par._n 38._o there_o be_v a_o certain_a place_n in_o the_o island_n of_o great_a britain_n where_o the_o star_n be_v always_o visible_a at_o any_o time_n of_o the_o day_n if_o the_o horizon_n be_v not_o overcast_v with_o cloud_n par._n 39_o it_o may_v be_v clear_o
to_o the_o eastern_a quarter_n and_o so_o move_v the_o globe_n till_o the_o same_o and_o the_o 18_o degree_n of_o the_o quadrant_n come_v both_o in_o one_o and_o the_o index_n will_v point_v at_o the_o hour_n when_o the_o evening_n twilight_n do_v end_n prob._n 27._o the_o length_n of_o the_o long_a day_n be_v give_v to_o find_v thereby_o those_o place_n of_o the_o earth_n in_o which_o the_o long_a day_n be_v of_o that_o extent_n by_o the_o give_a length_n of_o the_o long_a day_n 25._o find_v the_o true_a degree_n of_o latitude_n where_o the_o day_n be_v of_o that_o extent_n and_o make_v a_o mark_n upon_o that_o degree_n in_o the_o brazen_a meridian_n turn_v the_o globe_n round_o and_o observe_v what_o place_n pass_v exact_o under_o the_o say_a mark_n for_o they_o be_v the_o place_n desire_v prob._n 28._o a_o certain_a number_n of_o day_n not_o surpass_v 182._o being_n give_v to_o find_v thereby_o that_o parallel_n of_o latitude_n on_o the_o globe_n where_o the_o sun_n set_v not_o during_o those_o day_n take_v half_a of_o the_o give_v number_n of_o day_n and_o whatever_o it_o be_v count_v so_o many_o degree_n upon_o the_o ecliptic_a begin_v at_o the_o first_o of_o cancer_n and_o make_v a_o mark_n where_o the_o reckon_a end_n only_o observe_v that_o if_o your_o number_n of_o day_n surpass_v thirty_o than_o your_o number_n of_o degree_n ought_v to_o be_v less_o than_o it_o by_o one_o bring_v then_o the_o mark_a point_n of_o the_o ecliptic_a to_o the_o brazen_a meridian_n and_o observe_v exact_o how_o many_o degree_n be_v intercept_v between_o the_o aforesaid_a point_n and_o the_o pole_n for_o the_o same_o be_v equal_a to_o the_o desire_a parallel_n of_o latitude_n if_o the_o desire_a parallel_n of_o latitude_n be_v south_n of_o the_o line_n the_o operation_n be_v the_o same_o bring_v only_o the_o first_o degree_n of_o capricorn_n to_o the_o meridian_n in_o lieu_n of_o cancer_n prob._n 29._o the_o hour_n of_o the_o day_n be_v give_v according_a to_o our_o way_n of_o reckon_n in_o england_n to_o find_v thereby_o the_o babylonick_a hour_n at_o any_o time_n the_o babylonick_a hour_n be_v the_o number_n of_o hour_n from_o sun_n rise_v it_o be_v the_o manner_n of_o the_o babylonian_n of_o old_a and_o the_o inhabitant_n of_o norimberg_n at_o this_o day_n to_o commence_v their_o hour_n from_o the_o appearance_n of_o the_o sun_n in_o the_o eastern_a horizon_n for_o the_o find_n of_o this_o hour_n at_o any_o time_n and_o in_o any_o place_n first_o elevate_v the_o pole_n 2._o according_a to_o the_o latitude_n of_o the_o give_v place_n and_o 6._o note_v the_o sun_n place_n in_o the_o ecliptic_a at_o that_o time_n bring_v the_o same_o to_o the_o brazen_a meridian_n and_o set_v the_o index_n of_o the_o horary_a circle_n at_o noon_n after_o this_o roll_v the_o globe_n either_o eastward_o or_o westward_o according_a to_o the_o time_n of_o the_o day_n till_o the_o index_n point_n at_o the_o give_v hour_n then_o fix_v the_o globe_n in_o that_o position_n and_o bring_v back_o the_o index_n again_o to_o noon_n and_o move_v the_o globe_n from_o west_n to_o east_n till_o the_o sun_n place_n mark_v in_o the_o ecliptic_a coincide_n with_o the_o eastern_a horizon_n which_o do_v reckon_v upon_o the_o horary_a circle_n the_o number_n of_o hour_n between_o the_o index_n and_o noon_n or_o the_o upper_a figure_n of_o 12._o for_o that_o be_v the_o number_n of_o hour_n from_o sun_n rise_v for_o that_o day_n in_o the_o give_v place_n or_o the_o true_a babylonick_a hour_n desire_v prob._n 30._o the_o babylonick_a hour_n be_v give_v to_o find_v the_o hour_n of_o the_o day_n at_o any_o time_n according_a to_o our_o way_n of_o reckon_n in_o england_n elevate_v the_o pole_n according_a to_o the_o give_v latitude_n of_o the_o place_n and_o mark_v the_o sun_n place_n in_o the_o ecliptic_a bring_v the_o same_o to_o the_o brazen_a meridian_n and_o set_v the_o index_n of_o the_o horary_a circle_n at_o noon_n then_o rowl_n the_o globe_n westward_o till_o the_o index_n point_n at_o the_o give_v hour_n from_o sun_n rise_v and_o fix_v the_o globe_n in_o that_o situation_n bring_v the_o index_n back_o again_o to_o noon_n and_o turn_v the_o globe_n backward_o till_o the_o sun_n place_n mark_v in_o the_o ecliptic_a return_n to_o the_o same_o semicircle_n of_o the_o brazen_a meridian_n from_o whence_o it_o come_v which_o do_v observe_v what_o hour_n the_o index_n of_o the_o horary_a circle_n point_v at_o for_o the_o same_o be_v the_o hour_n desire_v prob._n 31._o the_o hour_n of_o the_o day_n be_v give_v according_a to_o our_o way_n of_o reckon_n in_o england_n to_o find_v thereby_o the_o italic_a hour_n at_o any_o time_n the_o italic_a hour_n be_v the_o number_n of_o hour_n from_o sun_n set_v at_o all_o time_n of_o the_o year_n to_o sun_n set_v the_o next_o follow_v day_n for_o the_o ready_a find_n of_o such_o hour_n 2._o elevate_v the_o pole_n according_a to_o the_o latitude_n of_o the_o place_n and_o 6._o note_v the_o sun_n place_n in_o the_o ecliptic_a upon_o the_o give_v day_n bring_v the_o same_o to_o the_o brazen_a meridian_n and_o set_v the_o index_n of_o the_o horary_a circle_n at_o noon_n then_o turn_v the_o globe_n either_o east_n or_o west_n according_a to_o the_o time_n of_o the_o day_n till_o the_o index_n point_n at_o the_o give_v hour_n and_o fix_v the_o globe_n in_o that_o situation_n bring_v the_o index_n back_o to_o noon_n which_o do_v turn_v the_o globe_n about_o eastward_n till_o the_o mark_n of_o the_o sun_n place_n in_o the_o ecliptic_a coincide_n with_o the_o western_a horizon_n and_o observe_v how_o many_o hour_n there_o be_v between_o the_o upper_a figure_n of_o 12._o and_o the_o index_n reckon_v they_o eastward_o as_o the_o globe_n move_v for_o these_o be_v the_o hour_n from_o sunset_n or_o the_o italic_a hour_n desire_v prob._n 32._o the_o italic_a hour_n be_v give_v to_o find_v thereby_o the_o hour_n of_o the_o day_n at_o any_o time_n according_a to_o our_o way_n of_o reckon_n in_o england_n this_o be_v the_o reverse_n of_o the_o former_a problem_n 2._o elevate_v the_o pole_n according_a to_o the_o latitude_n of_o the_o give_v place_n and_o note_v the_o sun_n place_n in_o the_o ecliptic_a bring_v the_o same_o to_o the_o western_a horizon_n and_o set_v the_o index_n of_o the_o horary_a circle_n at_o noon_n turn_v the_o globe_n westward_o till_o the_o index_n point_n at_o 31._o the_o italic_a hour_n give_v then_o fix_v the_o globe_n in_o that_o position_n bring_v the_o index_n back_o to_o noon_n and_o move_v the_o globe_n backward_o till_o the_o mark_n of_o the_o sun_n place_n return_v to_o the_o same_o semicircle_n of_o the_o brazen_a meridian_n from_o whence_o it_o come_v which_o do_v observe_v how_o many_o hour_n be_v between_o noon_n and_o the_o index_n reckon_v they_o from_o west_n to_o east_n for_o those_o be_v the_o hour_n desire_v according_a to_o our_o way_n of_o reckon_n in_o england_n prob._n 33._o the_o hour_n of_o the_o day_n be_v exact_o give_v according_a to_o our_o way_n of_o reckon_n in_o england_n to_o find_v thereby_o the_o judaical_a hour_n at_o any_o time_n by_o the_o judaical_a hour_n we_o understand_v the_o exact_a time_n of_o the_o day_n according_a to_o the_o ancient_a jew_n who_o in_o reckon_v their_o time_n divide_v the_o artificial_a day_n into_o twelve_o hour_n and_o the_o night_n into_o as_o many_o which_o hour_n prove_v every_o day_n unequal_a in_o extent_n unless_o in_o place_n exact_o under_o the_o equator_fw-la they_o still_o decrease_v or_o increase_n according_o to_o the_o season_n of_o the_o year_n or_o the_o various_a declination_n of_o the_o sun_n for_o the_o find_n of_o which_o hour_n observe_v the_o follow_a method_n 2._o elevate_v the_o pole_n according_a to_o the_o latitude_n of_o the_o give_v place_n and_o 6._o mark_v the_o sun_n place_n in_o the_o ecliptic_a at_o that_o time_n bring_v it_o to_o the_o eastern_a horizon_n and_o set_v the_o index_n of_o the_o horary_a circle_n at_o noon_n then_o turn_v the_o globe_n about_o till_o that_o place_n mark_v in_o the_o ecliptic_a come_v to_o the_o western_a horizon_n and_o observe_v the_o number_n of_o hour_n between_o noon_n and_o the_o index_n these_o be_v the_o hour_n of_o which_o the_o give_a day_n do_v consist_v which_o number_n you_o be_v to_o note_n down_o and_o 31._o to_o find_v what_o hour_n from_o sunrising_n correspond_v with_o the_o give_v hour_n or_o from_o sunsetting_a if_o the_o give_v hour_n be_v after_o sunsetting_a which_o do_v work_n by_o the_o follow_a proportion_n as_o the_o number_n of_o hour_n whereof_o the_o give_v day_n consist_v viz._n those_o note_v down_o be_v to_o 12_o so_o be_v the_o number_n of_o hour_n from_o sunrising_n if_o it_o be_v a_o hour_n of_o the_o day_n or_o
situate_v under_o the_o equinoctial_a line_n the_o meridian_n shadow_n of_o the_o sun_n do_v cast_v itself_o towards_o the_o north_n for_o one_o half_a of_o the_o year_n and_o towards_o the_o south_n during_o the_o other_o theor._n 29._o in_o all_o place_n lie_v under_o the_o equinoctial_a line_n there_o be_v no_o meridian_n shadow_n on_o those_o two_o day_n of_o the_o year_n that_o the_o sun_n do_v enter_v the_o sign_n of_o aries_n and_o libra_n theor._n 30._o the_o near_a that_o place_n be_v unto_o or_o the_o far_o remove_v from_o the_o equator_fw-la the_o short_a or_o long_o according_o be_v the_o meridian_n shadow_n of_o a_o style_n perpendicular_o erect_v in_o such_o place_n theor._n 31._o the_o far_a that_o place_n be_v remove_v from_o the_o equator_fw-la yet_o not_o surpass_v 66_o degree_n of_o latitude_n the_o great_a be_v the_o sun_n be_v amplitude_n or_o that_o arch_n of_o the_o horizon_n between_o the_o point_n of_o due_a east_n and_o west_n and_o those_o in_o which_o the_o sun_n rise_v and_o set_v on_o the_o day_n of_o the_o summer_n and_o winter_n solstice_n theor._n 32._o in_o all_o place_n lie_v under_o the_o same_o semi_a circle_n of_o the_o meridian_n the_o hour_n both_o of_o the_o day_n and_o night_n be_v always_o the_o same_o in_o one_o as_o in_o the_o other_o theor._n 33._o in_o all_o place_n both_o of_o the_o north_n and_o southern_a hemisphere_n that_o lie_v under_o opposite_a parallel_n of_o latitude_n the_o season_n of_o the_o year_n be_v always_o the_o same_o in_o one_o as_o in_o the_o other_o theor._n 34._o in_o all_o place_n situate_v in_o a_o parallel_n sphere_n the_o circle_n of_o the_o sun_n be_v diurnal_a motion_n run_v always_o parallel_v or_o very_o near_o it_o to_o the_o respective_a horizon_n of_o such_o place_n theor._n 35._o in_o all_o place_n situate_v in_o a_o right_a sphere_n the_o circle_n of_o the_o sun_n be_v diurnal_a motion_n be_v still_o perpendicular_a or_o very_o near_o it_o to_o the_o respective_a horizon_n of_o such_o place_n theor._n 36._o in_o all_o place_n situate_v in_o a_o oblique_a sphere_n the_o circle_n of_o the_o sun_n be_v diurnal_a motion_n be_v always_o oblique_a unto_o or_o cut_v the_o horizon_n of_o such_o place_n at_o unequal_a angle_n theor._n 37._o if_o the_o difference_n of_o longitude_n in_o two_o place_n be_v exact_o 15_o degree_n the_o people_n reside_v in_o the_o eastmost_a of_o they_o will_v reckon_v the_o time_n of_o the_o day_n soon_o by_o one_o hour_n than_o those_o in_o the_o other_o if_o the_o difference_n be_v 30_o degree_n then_o they_o will_v reckon_v their_o hour_n soon_o by_o 2._o if_o 45_o degree_n by_o 3._o and_o if_o 60_o then_o by_o 4_o etc._n etc._n theor._n 38._o if_o people_n reside_v in_o two_o distinct_a place_n do_v differ_v exact_o one_o hour_n in_o reckon_v their_o time_n it_o be_v only_a noon_n to_o one_o when_o one_o afternoon_n to_o the_o other_o the_o true_a distance_n between_o the_o respective_a meridian_n of_o those_o place_n be_v exact_o 15_o degree_n upon_o the_o equator_fw-la if_o they_o differ_v 2_o hour_n the_o distance_n be_v 30_o degree_n if_o 3_o it_o be_v 45._o and_o if_o 4_o it_o be_v complete_o 60_o etc._n etc._n theor._n 39_o if_o a_o ship_n set_v out_o from_o any_o port_n and_o steer_v eastward_o do_v entire_o surround_v the_o globe_n of_o the_o earth_n the_o people_n of_o the_o say_a ship_n in_o reckon_v their_o time_n will_v gain_v one_o day_n complete_o at_o their_o return_n or_o count_v one_o more_o than_o those_o reside_v at_o the_o say_v port._n if_o westward_o then_o they_o will_v lose_v one_o or_o reckon_v one_o less_o theor._n 40._o if_o two_o ship_n set_v out_o from_o the_o same_o port_n at_o the_o same_o time_n and_o both_o surround_v the_o globe_n of_o the_o earth_n one_o steer_v east_n and_o the_o other_o westward_o they_o will_v differ_v from_o one_o another_o in_o reckon_v their_o time_n two_o day_n complete_o at_o their_o return_n even_o suppose_v they_o happen_v to_o arrive_v on_o the_o same_o day_n if_o they_o surround_v the_o earth_n twice_o steer_v as_o aforesaid_a they_o will_v differ_v 4_o day_n if_o thrice_o then_o 6_o etc._n etc._n theor._n 41._o if_o several_a ship_n set_v out_o from_o the_o same_o port_n either_o at_o the_o same_o or_o different_a time_n and_o do_v all_o surround_v the_o globe_n of_o the_o earth_n some_o steer_v due_a south_n and_o other_o due_a north_n and_o arrive_v again_o at_o the_o same_o port_n the_o respective_a people_n of_o those_o different_a ship_n at_o their_o return_n will_v not_o differ_v from_o one_o another_o in_o reckon_v their_o time_n nor_o from_o those_o who_o reside_v at_o the_o say_v port._n these_o be_v the_o chief_a geographical_a theorem_n or_o self-evident_a truth_n clear_o deduclble_a from_o the_o forego_n problem_n and_o to_o these_o we_o may_v add_v a_o great_a many_o more_o but_o leave_v such_o truth_n we_o pass_v to_o some_o other_o in_o pursuance_n of_o our_o propose_a method_n and_o such_o as_o be_v equal_o certain_a with_o the_o aforesaid_a theorem_n though_o not_o so_o apparent_a yet_o probable_o more_o divert_v therefore_o follow_v sect_n iv._o contain_v some_o amaze_a geographical_a paradox_n par._n 1._o there_o be_v two_o remarkable_a place_n on_o the_o globe_n of_o the_o earth_n in_o which_o there_o be_v only_o one_o day_n and_o one_o night_n throughout_o the_o whole_a year_n par._n 2._o there_o be_v also_o some_o place_n on_o the_o earth_n in_o which_o it_o be_v neither_o day_n nor_o night_n at_o a_o certain_a time_n of_o the_o year_n for_o the_o space_n of_o twenty_o four_o hour_n par._n 3._o there_o be_v a_o certain_a place_n of_o the_o earth_n at_o which_o if_o two_o man_n shall_v chance_v to_o meet_v one_o will_v stand_v upright_o upon_o the_o sole_n of_o the_o other_o foot_n and_o neither_o of_o they_o shall_v feel_v the_o other_o weight_n and_o yet_o both_o shall_v retain_v their_o natural_a posture_n par._n 4._o there_o be_v also_o a_o certain_a place_n of_o the_o earth_n where_o a_o fire_n be_v make_v neither_o flame_n nor_o smoke_n will_v ascend_v but_o move_v circular_o about_o the_o fire_n moreover_o if_o in_o that_o place_n one_o shall_v fix_v a_o smooth_a or_o plain_a table_n without_o any_o ledge_n whatsoever_o and_o pour_v thereon_o a_o large_a quantity_n of_o water_n not_o one_o drop_v thereof_o can_v run_v over_o the_o say_a table_n but_o will_v raise_v itself_o up_o in_o a_o large_a heap_n par._n 5._o there_o be_v a_o certain_a place_n on_o the_o globe_n of_o a_o considerable_a southern_a latitude_n that_o have_v both_o the_o great_a and_o least_o degree_n of_o longitude_n par._n 6._o there_o be_v three_o remarkable_a place_n on_o the_o globe_n that_o differ_v both_o in_o longitude_n and_o latitude_n and_o yet_o all_o lie_n under_o one_o and_o the_o same_o meridian_n par._n 7._o there_o be_v three_o remarkable_a place_n on_o the_o continent_n of_o europe_n that_o lie_v under_o three_o different_a meridian_n and_o yet_o all_o agree_v both_o in_o longitude_n and_o latitude_n par._n 8._o there_o be_v a_o certain_a island_n in_o the_o aegaean_a sea_n upon_o which_o if_o two_o child_n be_v bring_v forth_o at_o the_o same_o instant_n of_o time_n and_o live_v together_o for_o many_o year_n shall_v both_o expire_v on_o the_o same_o day_n yea_o at_o the_o same_o hour_n and_o minute_n of_o that_o day_n yet_o the_o life_n of_o one_o will_v surpass_v the_o life_n of_o the_o other_o by_o divers_a month_n par._n 9_o there_o be_v two_o observable_a place_n belong_v to_o asia_n that_o lie_v under_o the_o same_o meridian_n and_o of_o a_o small_a distance_n from_o one_o another_o and_o yet_o the_o respective_a inhabitant_n of_o they_o in_o reckon_v their_o time_n do_v differ_v a_o entire_a natural_a day_n every_o week_n par._n 10._o there_o be_v a_o particular_a place_n of_o the_o earth_n where_o the_o wind_n though_o frequent_o veer_v round_o the_o compass_n do_v always_o blow_v from_o the_o north_n point_n par._n 11._o there_o be_v a_o certain_a hill_n in_o the_o south_n of_o bohemia_n on_o who_o top_n if_o a_o equinoctial_a sundial_n be_v due_o erect_v a_o man_n that_o be_v stone-blind_a may_v know_v the_o hour_n of_o the_o day_n by_o the_o same_o if_o the_o sun_n shine_v par._n 12._o there_o be_v a_o considerable_a number_n of_o place_n lie_v within_o the_o torrid_a zone_n in_o any_o of_o which_o if_o a_o certain_a kind_n of_o sundial_n be_v due_o erect_v the_o shadow_n will_v go_v back_o several_a degree_n upon_o the_o same_o at_o a_o certain_a time_n of_o the_o year_n and_o that_o twice_o every_o day_n for_o the_o space_n of_o divers_a week_n yet_o no_o way_n derogate_a from_o that_o miraculous_a return_v of_o the_o shadow_n upon_o the_o dial_n of_o ahaz_n in_o the_o day_n of_o king_n hezekiah_n par._n