the_o equinoctial_a under_o the_o meridian_n of_o your_o place_n have_v a_o continual_a sun-dyal_n of_o it_o and_o the_o hour_n of_o the_o day_n give_v on_o it_o at_o once_o in_o two_o place_n one_o by_o the_o part_a the_o enlighten_v hemisphere_n from_o the_o shadow_a on_o the_o eastern_a side_n the_o other_o by_o the_o part_a the_o enlighten_v hemisphere_n from_o the_o shadow_a on_o the_o western_a side_n the_o globe_n much_o more_o may_v be_v say_v on_o this_o problem_n but_o the_o ingenuous_a artist_n may_v of_o himself_o find_v out_o diversity_n of_o speculation_n therefore_o i_o forbear_v prob._n xlvi_o to_o know_v by_o the_o terrestrial_a globe_n in_o the_o zenith_n of_o what_o place_n of_o the_o earth_n the_o sun_n be_v this_o may_v be_v perform_v by_o the_o former_a problem_n in_o the_o day_n time_n if_o the_o sun_n shine_v but_o not_o else_o but_o to_o find_v it_o at_o all_o time_n do_v thus_o bring_v the_o place_n of_o your_o habitation_n to_o the_o meridian_n and_o the_o index_n of_o the_o hour-circle_n to_o 12_o then_o turn_v the_o globe_n eastward_n if_o afternoon_n or_o westward_n if_o before_o noon_n till_o the_o index_n of_o the_o hour-circle_n pass_v by_o so_o many_o hour_n from_o 12._o as_o your_o time_n give_v be_v either_o before_o or_o afternoon_n so_o shall_v the_o sun_n be_v in_o the_o zenith_n of_o that_o place_n where_o the_o meridian_n intersect_v the_o parallel_n of_o the_o sun_n declination_n for_o that_o day_n example_n may_v 10_o at_o ¾_n of_o a_o hour_n past_o 4._o a_o clock_n after_o noon_n i_o will_v know_v in_o what_o place_n of_o the_o earth_n the_o sun_n be_v in_o the_o zenith_n my_o habitation_n be_v london_n therefore_o i_o bring_v london_n to_o the_o meridian_n and_o the_o index_n of_o the_o hour-circle_n to_o 12._o and_o because_o it_o be_v after_o noon_n i_o turn_v the_o globe_n eastward_n till_o the_o index_n pass_v through_o 4_o hour_n and_o 3_o quarter_n or_o which_o be_v all_o one_o till_o 70_o degree_n 15_o minute_n of_o the_o equator_fw-la pass_v through_o the_o meridian_n then_o i_o find_v by_o prob._n 5._o the_o sun_n declination_n be_v 20._o degree_n 5._o minute_n which_o i_o find_v upon_o the_o meridian_n and_o in_o that_o place_n just_a under_o that_o degree_n and_o minute_n on_o the_o globe_n the_o sun_n be_v in_o the_o zenith_n which_o in_o this_o example_n be_v in_o the_o north_n east_n cape_n of_o hispaniola_n have_v thus_o find_v in_o what_o place_n of_o the_o earth_n the_o sun_n be_v in_o the_o zenith_n bring_v that_o place_n to_o the_o meridian_n and_o elevate_v its_o respective_a pole_n according_a to_o its_o respective_a elevation_n so_o shall_v all_o place_n cut_v by_o the_o horizon_n have_v the_o sun_n in_o their_o horizon_n those_o to_o the_o eastward_n shall_v have_v the_o sun_n set_v those_o to_o the_o westward_n shall_v have_v it_o rise_v in_o their_o horizon_n those_o at_o the_o intersection_n of_o the_o meridian_n and_o horizon_n under_o the_o elevate_v pole_n have_v the_o sun_n in_o their_o horizon_n at_o low_a but_o rise_v those_o at_o the_o intersection_n of_o the_o meridian_n and_o horizon_n under_o the_o depress_v pole_n have_v the_o sun_n in_o their_o horizon_n at_o high_a but_o set_v thus_o in_o those_o country_n that_o be_v above_o the_o horizon_n it_o be_v daylight_n and_o in_o those_o but_o 18_o degree_n below_o the_o horizon_n it_o be_v twilight_n but_o in_o those_o country_n further_a below_o the_o horizon_n it_o be_v at_o that_o time_n dark_a night_n and_o those_o country_n within_o the_o parallel_n of_o the_o same_o number_n of_o degree_n from_o the_o elevate_v pole_n that_o the_o sun_n declination_n be_v from_o the_o equinoctial_a have_v the_o sun_n always_o above_o the_o horizon_n till_o the_o sun_n have_v less_o respective_a declination_n than_o the_o elevate_v pole_n and_o those_o within_o the_o same_o parallel_n of_o the_o depress_v pole_n have_v the_o sun_n always_o below_o their_o horizon_n till_o the_o sun_n incline_v more_o towards_o the_o depress_v pole_n as_o you_o may_v see_v by_o turn_v about_o the_o globe_n for_o in_o this_o position_n that_o portion_n of_o the_o globe_n intercept_v between_o the_o elevate_v pole_n and_o the_o parallel_n circle_n of_o 20._o degree_n 5._o minute_n from_o the_o pole_n do_v not_o descend_v below_o the_o horizon_n neither_o do_v that_o portion_n of_o the_o globe_n intercept_v between_o the_o depress_v pole_n and_o the_o parallel_n circle_n within_o 20._o degree_n 5._o minute_n of_o that_o pole_n ascend_v above_o the_o horizon_n prob._n xlvii_o to_o find_v in_o what_o different_a place_n of_o the_o earth_n the_o sun_n have_v the_o same_o altitude_n at_o the_o same_o time_n found_a by_o the_o former_a problem_n in_o what_o place_n of_o the_o earth_n the_o sun_n be_v in_o the_o zenith_n and_o bring_v that_o place_n on_o the_o globe_n to_o the_o zenith_n and_o on_o the_o meridian_n there_o screw_v the_o quadrant_n of_o altitude_n and_o turn_v it_o about_o the_o horizon_n describe_v degree_n of_o almicantars_n thereby_o as_o by_o prob._n 23._o and_o all_o those_o country_n in_o any_o almicantar_n on_o the_o globe_n shall_v have_v the_o sun_n elevate_v the_o same_o number_n of_o degree_n above_o their_o horizon_n thus_o those_o country_n in_o the_o ten_o almicantar_n shall_v have_v the_o sun_n elevate_v 10._o degree_n above_o their_o horizon_n those_o in_o the_o 20_o the_o almicantar_n shall_v have_v the_o sun_n elevate_v 20_o degree_n above_o their_o horizon_n those_o in_o the_o 30_o the_o 30._o degree_n etc._n etc._n so_o that_o you_o may_v see_v when_o the_o sun_n be_v in_o the_o zenith_n of_o any_o place_n all_o the_o country_n or_o city_n in_o any_o almicantar_n have_v the_o sun_n in_o one_o height_n at_o the_o same_o time_n above_o their_o horizon_n but_o to_o find_v in_o what_o different_a place_n the_o sun_n have_v the_o same_o height_n at_o the_o same_o time_n as_o well_o before_o or_o after_o noon_n as_o at_o full_a noon_n and_o that_o in_o country_n that_o have_v great_a latitude_n than_o the_o sun_n great_a declination_n and_o therefore_o can_v have_v the_o sun_n in_o their_o zenith_n require_v another_o operation_n therefore_o elevate_v its_o respective_a pole_n according_a to_o your_o respective_a latitude_n and_o let_v the_o degree_n of_o the_o brazen_a meridian_n which_o be_v in_o the_o zenith_n represent_v your_o habitation_n and_o the_o degree_n of_o the_o ecliptic_a the_o sun_n be_v in_o represent_v the_o sun_n then_o bring_v the_o sun_n to_o the_o meridian_n and_o the_o index_n of_o the_o hour-circle_n to_o 12_o and_o turn_v the_o globe_n eastward_n if_o before_o noon_n or_o westward_n if_o after_o noon_n till_o the_o index_n point_n to_o the_o hour_n of_o the_o day_n then_o place_v the_o low_a end_n of_o the_o quadrant_n of_o altitude_n to_o the_o east_n point_n of_o the_o horizon_n and_o move_v the_o upper_a end_n by_o slide_v the_o nut_n over_o the_o meridian_n till_o the_o edge_n of_o the_o quadrant_n touch_v the_o place_n of_o the_o sun_n then_o see_v at_o what_o degree_n of_o the_o meridian_n the_o upper_a end_n of_o the_o quadrant_n of_o altitude_n touch_v the_o meridian_n and_o subtract_v that_o number_n of_o degree_n from_o the_o latitude_n of_o your_o place_n and_o count_v the_o number_n of_o remain_a degree_n on_o the_o meridian_n on_o the_o contrary_a side_n the_o degree_n of_o the_o meridian_n where_o the_o upper_a end_n of_o the_o quadrant_n of_o altitude_n touch_v the_o meridian_n and_o where_o that_o number_n of_o degree_n end_n on_o the_o meridian_n in_o that_o latitude_n and_o your_o habitation_n longitude_n have_v the_o sun_n the_o same_o height_n at_o the_o same_o time_n example_n may_v 10._o at_o 53._o minute_n past_o 8._o a_o clock_n in_o the_o morning_n i_o will_v know_v in_o what_o place_n the_o sun_n shall_v have_v the_o same_o altitude_n it_o shall_v have_v at_o london_n london_n latitude_n find_v by_o prob._n 1._o be_v 51½_n degree_n northwards_o and_o because_o the_o elevation_n of_o the_o pole_n be_v equal_a to_o the_o latitude_n of_o the_o place_n as_o be_v show_v prob._n 15._o therefore_o i_o elevate_v the_o north_n pole_n 51½_n degree_n so_o shall_v 51½_n degree_n on_o the_o meridian_n be_v in_o the_o zenith_n this_o 51½_n degree_n on_o the_o meridian_n represent_v london_n the_o sun_n place_v find_v by_o prob._n 3._o be_v ♉_o 29._o therefore_o i_o bring_v ♉_o 29_o to_o the_o meridian_n and_o the_o hour_n index_n to_o 12._o on_o the_o hour_n circle_n then_o i_o turn_v the_o globe_n eastward_n because_o it_o be_v before_o noon_n till_o the_o index_n point_n at_o 8._o hour_n 53_o minute_n on_o the_o hour-circle_n and_o place_v the_o low_a end_n of_o the_o quadrant_n of_o altitude_n to_o the_o east_n point_n in_o the_o horizon_n and_o slide_v the_o upper_a end_n either_o north_n or_o southwards_o
thereof_o mark_v it_o well_o first_o with_o your_o compass_n observe_v diligent_o upon_o which_o point_n thereof_o it_o lie_v and_o second_o you_o must_v there_o take_v the_o height_n of_o the_o sun_n or_o of_o the_o polestar_n as_o you_o be_v teach_v prob._n 13._o of_o the_o second_o book_n that_o you_o may_v know_v in_o what_o point_n your_o ship_n be_v and_o that_o point_v you_o must_v call_v the_o first_o point_n which_o be_v so_o do_v your_o ship_n may_v sail_v on_o her_o course_n all_o that_o day_n till_o the_o day_n follow_v without_o lose_v her_o way_n and_o the_o next_o day_n mark_v the_o land_n again_o and_o see_v upon_o what_o point_v it_o lie_v and_o then_o take_v your_o height_n and_o with_o it_o cast_v your_o point_n of_o traverse_n once_o again_o and_o that_o you_o may_v call_v your_o second_o point_n then_o take_v a_o pair_n of_o compass_n and_o place_v one_o foot_n upon_o the_o first_o point_n and_o the_o other_o upon_o the_o rhumb_n towards_o which_o the_o land_n do_v bear_n when_o you_o cast_v your_o first_o point_n set_v also_o one_o foot_n of_o another_o pair_n of_o compass_n in_o the_o second_o point_n and_o the_o other_o foot_n upon_o the_o rhumb_n upon_o which_o the_o land_n lie_v when_o you_o cast_v your_o second_o point_n and_o these_o two_o compass_n thus_o open_v you_o must_v move_v by_o their_o rhumb_n till_o those_o two_o foot_n of_o both_o compass_n do_v meet_v together_o which_o be_v move_v from_o the_o foresay_a two_o point_n and_o where_o they_o do_v so_o meet_v together_o there_o may_v you_o say_v be_v the_o land_n which_o you_o discover_v which_o land_n you_o may_v point_v out_o with_o the_o in_o let_n and_o outlet_n or_o cape_n and_o other_o sign_n which_o you_o see_v thereupon_o and_o by_o the_o graduation_n you_o may_v see_v the_o latitude_n thereof_o that_o thereby_o you_o may_v find_v it_o if_o a_o any_o time_n after_o you_o go_v to_o seek_v for_o it_o prob._n xviii_o see_v two_o know_a point_n or_o cape_n of_o land_n as_o you_o sail_v 〈◊〉_d long_o how_o to_o know_v the_o distance_n of_o your_o ship_n from_o they_o pitch_n one_o foot_n of_o one_o pair_n of_o compass_n upon_o one_o of_o the_o two_o foresay_a cape_n and_o the_o other_o foot_n upon_o the_o rhumâ—_n which_o in_o this_o compass_n point_v towards_o that_o cape_n 〈◊〉_d in_o like_a manner_n shall_v you_o do_v with_o another_o pair_n of_o compass_n place_v one_o foot_n thereof_o upon_o the_o other_o know_v cape_n 〈◊〉_d the_o other_o foot_n upon_o the_o rhumb_n which_o stretch_v towards_o 〈◊〉_d say_v second_o cape_n and_o move_v the_o two_o compass_n so_o open_v by_o these_o two_o rhumb_n off_o from_o the_o land_n the_o very_a same_o point_n where_o the_o two_o foot_n which_o come_v from_o the_o two_o cape_n do_v meet_v you_o may_v affirm_v to_o be_v the_o very_a point_n where_o your_o ship_n be_v and_o then_o measure_v by_o the_o degree_n of_o the_o equinoctial_a you_o may_v see_v what_o distance_n there_o be_v from_o the_o say_a point_n to_o either_o of_o the_o foresay_a cape_n or_o to_o any_o other_o place_n which_o you_o think_v good_a for_o it_o be_v a_o very_a easy_a matter_n if_o you_o know_v the_o point_n where_o your_o ship_n be_v prob._n xix_o of_o tide_n and_o how_o by_o help_n of_o the_o globe_n you_o may_v in_o general_a judge_n of_o they_o divide_v the_o equinoctial_a into_o 30_o equal_a part_n as_o be_v direct_v in_o prob._n 54._o of_o the_o last_o book_n these_o 30._o equal_a part_n represent_v the_o 30._o day_n of_o the_o moon_n age._n then_o on_o the_o north_n and_o south_n point_n of_o the_o compass_n in_o the_o outmost_a verge_n of_o the_o horizon_n write_v with_o red_a ink_n 12._o from_o the_o north_n eastward_o viz._n at_o the_o point_n north_n and_o by_o east_n write_v 11_o ¼_n at_o the_o next_o point_n to_o that_o the_o same_o way_n viz._n north_n north_n east_n write_v 10_o ½_o at_o the_o next_o viz._n north_n east_n and_o by_o north_n write_v 9_o ¾_n and_o so_o forward_o to_o every_o point_n of_o the_o compass_n rebate_n of_o the_o last_o hour_n ¾_n till_o you_o come_v to_o 12._o in_o the_o south_n where_o you_o must_v begin_v again_o to_o mark_v that_o semicircle_n also_o in_o the_o same_o order_n you_o do_v the_o last_o in_o this_o circle_n be_v then_o represent_v the_o point_n of_o the_o compass_n the_o sun_n and_o moon_n pass_v by_o every_o day_n and_o the_o figure_n annex_v represent_v the_o twice_o 12._o hour_n of_o day_n and_o night_n have_v thus_o prepare_v your_o globe_n and_o horizon_n you_o may_v by_o have_v the_o moon_n age_n and_o the_o point_n of_o the_o compass_n on_o which_o the_o moon_n make_v full_a sea_n at_o any_o place_n give_v find_v at_o what_o hour_n of_o day_n or_o night_n it_o shall_v be_v high_a tide_n in_o the_o same_o place_n thus_o it_o be_v a_o know_a rule_n that_o a_o north_n and_o south_n moon_n make_v high_a water_n at_o margarate_a therefore_o bring_v the_o first_o point_n of_o ♈_o to_o the_o north_n or_o south_n point_n in_o the_o horizon_n and_o elevate_v the_o north_n pole_n into_o the_o zenith_n then_o count_v in_o the_o equinoctial_a the_o day_n of_o the_o moon_n age_n number_v in_o red_a figure_n and_o the_o hour_n and_o minute_n write_v in_o red_a figure_n annex_v to_o the_o name_n of_o the_o wind_n that_o stand_v against_o the_o moon_n age_n shall_v be_v the_o hour_n of_o high_a tide_n on_o that_o day_n or_o night_n at_o margarate_n the_o end_n of_o the_o three_o book_n the_o four_o book_n show_v the_o practical_a use_n of_o the_o globe_n apply_v they_o to_o the_o solution_n of_o astrological_a problem_n preface_n the_o practice_n of_o astrology_n be_v ground_v upon_o a_o twofold_a doctrine_n the_o first_o for_o erect_v a_o figure_n of_o heaven_n place_v the_o planet_n in_o it_o find_v what_o aspect_n they_o bear_v each_o other_o and_o in_o what_o place_n they_o be_v constitute_v etc._n etc._n and_o this_o we_o call_v the_o astronomical_a part_n of_o astrology_n the_o second_o be_v how_o to_o judge_v of_o the_o event_n of_o thing_n by_o the_o figure_n erect_v and_o this_o be_v indeed_o the_o only_a astrological_a part_n the_o first_o of_o these_o i_o shall_v brief_o handle_v because_o what_o therein_o be_v propose_v may_v be_v perform_v by_o the_o globe_n both_o with_o speed_n ease_n delight_n and_o demonstration_n the_o second_o i_o shall_v not_o meddle_v with_o but_o refer_v you_o to_o the_o whole_a volume_n already_o write_v upon_o that_o subject_a prob._n i._n to_o erect_v a_o figure_n of_o the_o 12_o house_n of_o heaven_n before_o you_o erect_v a_o figure_n of_o the_o 12_o house_n of_o heaven_n it_o will_v be_v requisite_a you_o place_v the_o planet_n ☊_o and_o ☋_o according_a to_o their_o longitude_n and_o latitude_n upon_o the_o globe_n as_o be_v direct_v in_o prob._n 55._o of_o the_o second_o book_n for_o then_o as_o you_o divide_v the_o house_n of_o your_o figure_n by_o the_o circle_n of_o position_n you_o may_v by_o inspection_n behold_v in_o what_o house_n the_o planet_n be_v situate_v and_o also_o see_v what_o fix_a star_n they_o be_v apply_v to_o or_o separate_v from_o but_o to_o the_o matter_n there_o be_v disagreement_n between_o the_o ancient_n and_o modern_a astrologer_n about_o erect_v a_o figure_n of_o heaven_n m_o r_o palmer_n in_o his_o book_n of_o spherical_a problem_n chap._n 48._o mention_n four_o several_a way_n and_o the_o author_n that_o use_v they_o whereof_o one_o of_o they_o be_v call_v the_o rational_a way_n use_v by_o râ—giomontanus_n and_o now_o general_o practise_v by_o all_o the_o astrologer_n of_o this_o age._n this_o way_n the_o face_n of_o heaven_n be_v divide_v into_o twelve_o part_n which_o be_v call_v the_o twelve_o house_n of_o heaven_n number_v from_o the_o ascendent_n or_o angle_n at_o east_n downward_o with_o 1_o 2_o 3_o &c_n &c_n as_o in_o the_o follow_a figure_n in_o a_o direct_a sphere_n viz._n under_o the_o equator_fw-la these_o twelve_o house_n be_v twelve_o equal_a part_n but_o in_o a_o oblique_a sphere_n they_o be_v unequal_a part_n and_o that_o more_o or_o less_o according_a to_o the_o quantity_n of_o the_o sphere_n obliquity_n these_o twelve_o house_n be_v divide_v by_o 12._o semicircle_n of_o position_n which_o be_v semicircle_n pass_v from_o the_o two_o intersection_n of_o the_o horizon_n and_o meridian_n through_o any_o star_n degree_n or_o point_n in_o the_o heaven_n the_o degree_n and_o minute_n of_o the_o ecliptic_a upon_o the_o cusp_n of_o these_o four_o house_n that_o be_v upon_o the_o begin_n of_o these_o house_n be_v find_v all_o at_o once_o only_o by_o bring_v the_o rise_a degree_n of_o the_o ecliptic_a to_o the_o horizon_n for_o the_o horizon_n represent_v the_o cusp_n of_o the_o ascendent_n and_o then_o shall_v
that_o shadow_n shall_v be_v a_o meridian_n liâ—e_z second_o on_o the_o backside_n the_o clinatory_n describe_v a_o circle_n and_o draw_v a_o line_n through_o the_o centre_n to_o both_o side_n the_o circumference_n across_o this_o line_n with_o a_o other_o line_n at_o râ—ght_a angle_n in_o the_o centre_n so_o shall_v the_o circle_n be_v divide_v into_o four_o equal_a part_n these_o four_o part_n you_o must_v maâ—k_v with_o east_n west_n north_n south_n and_o divide_v each_o of_o they_o into_o 90._o degree_n in_o the_o centre_n of_o this_o plain_n erect_v a_o straight_a wire_n prependicular_o when_o you_o will_v find_v a_o meridian_n line_n examine_v by_o the_o ten_o prob._n of_o the_o second_o book_n the_o amplitude_n of_o the_o sun_n rise_v or_o set_v from_o the_o east_n or_o west_n point_n and_o wait_v the_o just_a rise_n or_o set_v that_o day_n turn_v the_o instrument_n about_o till_o the_o shadow_n of_o the_o wire_n fall_v upon_o the_o same_o degree_n from_o the_o east_n or_o 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the_o plumb-line_n hang_v at_o liberty_n may_v fall_v upon_o the_o circumference_n of_o the_o quadrant_n for_o then_o the_o number_n of_o degree_n of_o the_o quadrant_n comprehend_v between_o the_o side_n of_o the_o quadrant_n parallel_n to_o the_o plain_a and_o the_o plumb-line_n shall_v be_v the_o number_n of_o degree_n of_o reclination_n if_o thâ—_n centre_n of_o the_o quadrant_n point_v upward_o or_o inclination_n if_o thâ—_n centre_n point_v downward_o if_o your_o recline_a or_o incline_v plain_a decline_v draw_v upon_o it_o a_o line_n parallel_n to_o the_o horizon_n which_o you_o may_v do_v by_o apply_v the_o backside_n of_o the_o clinatory_n and_o raise_v or_o depress_v the_o centre_n of_o the_o quadrant_n till_o the_o plumb-line_n hang_v just_a upon_o one_o of_o the_o semidiameters_a for_o than_o you_o may_v by_o the_o upper_a side_n of_o the_o clinatory_n draw_v a_o horizontal_n line_n if_o the_o plain_n incline_v or_o by_o the_o under_o side_n if_o it_o recline_v if_o it_o 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or_o if_o you_o find_v the_o azimuth_n of_o the_o sun_n by_o its_o altitude_n observe_v just_a when_o its_o beam_n be_v come_v on_o or_o go_v off_o youâ—_n plain_a that_o azimuth_n shall_v be_v the_o azimuth_n of_o your_o plain_n or_o you_o may_v erect_v a_o wire_n perpendicular_o on_o your_o plain_n and_o wait_v till_o the_o shadow_n of_o that_o wire_n come_v to_o be_v perpendicular_a with_o the_o horizon_n which_o you_o may_v examine_v by_o apply_v a_o plumb-line_n to_o it_o for_o then_o the_o shadow_n of_o the_o plumb-line_n and_o the_o shadow_n of_o the_o perpendicular_a will_v be_v in_o one_o then_o take_v the_o altitude_n of_o the_o sun_n you_o may_v by_o prob._n 22._o of_o the_o second_o book_n find_v its_o azimuth_n and_o thereby_o know_v in_o what_o azimuth_n the_o plain_a of_o your_o dyal_n lie_v for_o the_o azimuth_n your_o plain_n lie_v in_o be_v distant_a from_o the_o azimuth_n of_o the_o sun_n just_a 90._o degree_n prob._n i._n how_o by_o one_o position_n of_o the_o globe_n to_o find_v the_o distance_n of_o the_o hour-line_n on_o all_o manner_n of_o plain_n you_o may_v have_v meridian_n line_n draw_v from_o pole_n to_o pole_n through_o every_o 15._o degree_n of_o the_o equinoctial_a to_o represent_v the_o horary_a motion_n of_o the_o sun_n both_o day_n and_o night_n and_o when_o the_o pole_n of_o the_o globe_n be_v elevate_v to_o the_o height_n of_o the_o pole_n in_o any_o place_n and_o one_o of_o these_o meridian_n line_n be_v bring_v to_o the_o brazen_a meridian_n all_o the_o rest_n of_o the_o meridian_n line_n shall_v cut_v any_o circle_n which_o you_o intend_v shall_v represent_v the_o plain_a of_o a_o dyal_n in_o the_o number_n of_o degree_n on_o the_o same_o circle_n that_o each_o respective_a hour-line_n be_v distant_a from_o the_o noon-line_n point_n in_o the_o same_o circle_n thus_o if_o you_o shall_v inquire_v the_o distance_n of_o the_o hour-line_n upon_o a_o horizontal_n plain_n in_o london_n latitude_n the_o pole_n of_o the_o globe_n as_o aforesaid_a must_v be_v elevate_v 51½_n degree_n and_o one_o of_o the_o meridian_n line_n you_o may_v choose_v the_o vernal_a colour_n be_v bring_v to_o the_o brazen_a meridian_n which_o be_v do_v you_o be_v only_o to_o examine_v in_o the_o horizon_n because_o it_o be_v a_o horizontal_n plain_n at_o what_o distance_n from_o the_o meridian_n which_o in_o horizontals_n be_v the_o noon-line_n the_o several_a meridian_n draw_v on_o the_o globe_n intersect_v the_o horizon_n for_o that_o distance_n in_o degree_n shall_v be_v the_o distance_n on_o a_o circle_n divide_v into_o 360._o degree_n that_o each_o respective_a hour-line_n must_v have_v from_o the_o meridian_n or_o a_o noon_n line_n choose_v in_o the_o same_o circle_n and_o line_n draw_v from_o the_o centre_n of_o that_o circle_n through_o those_o degree_n shall_v be_v the_o hour_n line_n of_o a_o horizontal_n plain_n if_o your_o plain_n be_v not_o direct_v but_o decline_v east_n or_o west_n 〈◊〉_d must_v number_v the_o declination_n eastward_n or_o westward_n respective_o in_o the_o degree_n of_o the_o horizon_n and_o the_o quadrant_n 〈◊〉_d altitude_n screw_v to_o the_o zenith_n as_o aforesaid_a bring_v the_o low_a end_n of_o the_o quadrant_n of_o altitude_n to_o the_o say_a degree_n of_o declination_n and_o the_o number_n of_o degree_n cut_v by_o the_o meridian_n in_o the_o quadrant_n of_o altitude_n number_v downward_o be_v the_o number_n of_o degree_n that_o the_o hour-line_n be_v distant_a from_o the_o noon_n line_n in_o a_o circle_n of_o 360_o degree_n and_o line_n draw_v from_o the_o centre_n of_o that_o circle_n through_o those_o degree_n be_v the_o hour_n line_n of_o half_a the_o day_n and_o if_o you_o turn_v about_o the_o quadrant_n of_o altitude_n upon_o the_o zenith_n point_n till_o the_o low_a end_n of_o it_o come_v to_o the_o degree_n of_o the_o horizon_n
the_o moon_n be_v always_o a_o part_n of_o a_o circle_n therefore_o the_o earth_n and_o water_n which_o be_v the_o body_n shadow_v must_v also_o be_v a_o circular_a or_o round_a body_n for_o if_o it_o be_v three_o square_a four_o square_a or_o any_o other_o form_n than_o will_v the_o shadow_n which_o it_o make_v in_o the_o moon_n be_v of_o the_o same_o fashion_n beside_o of_o all_o figure_n the_o sphere_n or_o globe_n be_v most_o perfect_a most_o capacious_a and_o most_o entire_a of_o itself_o without_o either_o joint_n or_o angle_n which_o form_n we_o may_v also_o perceive_v the_o sun_n moon_n and_o star_n to_o have_v and_o all_o other_o thing_n that_o be_v bound_v by_o themselves_o as_o drop_n of_o water_n and_o other_o liquid_a thing_n but_o there_o be_v another_o frequent_a argument_n against_o the_o globulus_n form_n of_o the_o earth_n and_o that_o be_v that_o it_o seem_v impossible_a that_o the_o earth_n shall_v be_v round_o and_o yet_o also_o inhabible_a in_o all_o place_n for_o though_o we_o that_o inhabit_v on_o the_o top_n of_o the_o earth_n go_v with_o our_o head_n upward_o yet_o those_o that_o inhabit_v underneath_o we_o must_v needs_o go_v with_o their_o head_n downward_o like_o fly_n on_o a_o wall_n or_o ceiling_n and_o so_o be_v in_o danger_n of_o fall_v into_o the_o air._n for_o answer_v hereunto_o first_o you_o must_v understand_v that_o in_o the_o centre_n of_o the_o earth_n there_o be_v a_o attractive_a and_o draw_a power_n which_o draw_v all_o heavy_a substance_n to_o it_o by_o virtue_n of_o which_o attractive_a power_n thing_n though_o loose_v from_o the_o earth_n will_v again_o incline_v and_o cling_v to_o the_o earth_n and_o so_o much_o the_o more_o forcible_o by_o how_o much_o the_o heavy_a they_o be_v as_o a_o bullet_n of_o lead_n let_v fall_v out_o of_o the_o air_n incline_v towards_o the_o earth_n far_o more_o violent_o and_o swift_o then_o a_o bullet_n of_o the_o same_o bigness_n of_o wood_n or_o cork_n second_o you_o must_v understand_v that_o in_o respect_n of_o the_o whole_a universe_n there_o be_v no_o part_n either_o upper_a or_o under_o but_o all_o part_n of_o the_o earth_n be_v alike_o encompass_v with_o heaven_n yet_o in_o respect_n of_o the_o earth_n it_o be_v heaven_n which_o we_o take_v for_o the_o upper_a part_n and_o therefore_o we_o be_v say_v to_o go_v with_o our_o head_n upward_o because_o our_o head_n of_o all_o the_o part_n of_o our_o body_n be_v near_a to_o heaven_n now_o that_o this_o attractive_a power_n lie_v in_o the_o centre_n of_o the_o earth_n be_v prove_v by_o this_o argument_n if_o the_o attractive_a power_n be_v not_o in_o the_o centre_n a_o plumb-line_n let_v fall_n will_v not_o make_v right_a angle_n with_o the_o superficies_n of_o the_o earth_n but_o will_v ebb_v attract_v that_o way_n the_o attractive_a virtue_n lie_v and_o so_o make_v unequal_a angle_n with_o the_o superficies_n but_o by_o so_o many_o experiment_n as_o have_v yet_o be_v make_v we_o find_v that_o a_o plumb-line_n continue_v though_o never_o so_o deep_a yet_o it_o alter_v no_o angle_n with_o the_o superficies_n of_o the_o earth_n and_o therefore_o undoubted_o the_o attractive_a power_n lie_v in_o the_o very_a centre_n and_o no_o where_o else_o chap._n i._n i._o what_o a_o globe_n be_v a_o globe_n according_a to_o the_o mathematical_a definition_n be_v a_o perfect_a and_o exact_v round_a body_n contain_v under_o one_o surface_n of_o this_o form_n as_o have_v be_v prove_v consist_v the_o heaven_n and_o the_o earth_n and_o therefore_o the_o ancient_n with_o much_o pain_n study_v and_o industry_n endeavour_v to_o imitate_v as_o well_o the_o imaginary_a as_o the_o real_a appearance_n of_o they_o both_o have_v invent_v two_o globe_n the_o one_o to_o represent_v the_o heaven_n with_o all_o the_o constellation_n fix_a star_n circle_n and_o line_n proper_a thereunto_o which_o globe_n be_v call_v the_o celestial_a globe_n and_o the_o other_o with_o all_o the_o sea_n coast_n havens_n rivers_n lake_n city_n town_n hill_n cape_n sea_n sand_n etc._n etc._n as_o also_o the_o rhumb_n meridian_n parallel_n and_o other_o line_n that_o serve_v to_o facilitate_v the_o demostration_n of_o all_o manner_n of_o question_n to_o be_v perform_v upon_o the_o same_o and_o this_o globe_n be_v call_v the_o terrestrial_a globe_n ii_o of_o the_o two_o pole_n every_o globe_n have_v two_o pole_n the_o one_o north_n the_o other_o south_n the_o north_n pole_n be_v in_o the_o north_n point_n of_o the_o globe_n the_o south_n pole_n in_o the_o south_n point_fw-fr iii_o of_o the_o axis_n from_o the_o centre_n of_o the_o globe_n both_o way_n proceed_v a_o line_n through_o both_o the_o pole_n and_o continue_v itself_o infinite_o which_o be_v call_v the_o axis_n of_o the_o world_n and_o be_v represent_v by_o the_o two_o wire_n in_o the_o pole_n of_o the_o globe_n upon_o these_o two_o wire_n the_o globe_n be_v turn_v round_o even_o as_o the_o heaven_n be_v imagine_v to_o move_v upon_o the_o axis_n of_o the_o world_n four_o of_o the_o brazen_a meridian_n every_o globe_n be_v hang_v by_o the_o axis_n at_o both_o the_o pole_n in_o a_o brazen_a meridian_n which_o be_v divide_v into_o 360_o degree_n or_o which_o be_v all_o one_o into_o 4_o ninety_n the_o first_o beginning_n at_o the_o north_n pole_n be_v continue_v from_o the_o left_a hand_n towards_o the_o right_a till_o the_o termination_n of_o 90_o degree_n and_o be_v mark_v with_o 10_o 20_o 30_o etc._n etc._n to_o 90._o from_o whence_o the_o degree_n be_v number_v with_o 80_o 70_o 60_o etc._n etc._n to_o 0._o which_o be_v in_o the_o south_n pole_n from_o whence_o again_o the_o degree_n be_v number_v with_o 80_o 70_o 60_o etc._n etc._n to_o 0_o and_o last_o from_o 0_o the_o degree_n be_v number_v with_o 10_o 20_o 30_o to_o 90._o which_o be_v again_o in_o the_o north_n pole_n this_o brazen_a meridian_n be_v of_o great_a use_n for_o by_o help_n of_o it_o you_o may_v find_v the_o latitude_n of_o all_o place_n the_o declination_n of_o all_o the_o star_n &c_n &c_n and_o rectify_v the_o globe_n to_o any_o latitude_n v._o of_o the_o horizon_n the_o horizon_n be_v a_o broad_a wooden_a circle_n encompass_v the_o globe_n have_v two_o notch_n in_o it_o the_o one_o in_o the_o north_n the_o other_o in_o the_o south_n point_n the_o notch_n be_v make_v just_o fit_a to_o contain_v the_o brazen_a meridian_n that_o the_o globe_n be_v hang_v in_o in_o the_o bottom_n or_o under_o plane_n of_o the_o horizon_n there_o stand_v up_o a_o rop_n or_o as_o it_o be_v call_v a_o bed_n in_o which_o there_o be_v also_o a_o notch_n into_o which_o notch_n the_o brazen_a meridian_n be_v also_o let_v so_o lo_o as_o that_o both_o it_o and_o the_o globe_n may_v be_v divide_v into_o two_o equal_a half_n by_o the_o upper_a plane_n of_o the_o wooden_a horizon_n these_o notch_n be_v as_o gauge_n to_o keep_v the_o globe_n from_o incline_v more_o to_o the_o one_o side_n of_o the_o wooden_a horizon_n than_o the_o other_o upon_o the_o upper_a plane_n of_o the_o horizon_n be_v several_a circle_n delineate_v as_o first_o the_o inner_a circle_n which_o be_v a_o circle_n divide_v into_o twelve_o equal_a part_n viz._n into_o twelve_o sign_n every_o sign_n have_v its_o name_n prefix_v to_o it_o as_o to_o the_o sign_n of_o ♈_o be_v the_o word_n aries_n to_o ♉_o the_o word_n taurus_n etc._n etc._n every_o sign_n be_v again_o divide_v into_o 30_o equal_a part_n which_o be_v call_v degree_n and_o every_o ten_o degree_n be_v mark_v with_o 10_o 20_o 30._o next_o to_o the_o circle_n of_o sign_n be_v a_o calendar_n or_o almanac_n according_a to_o the_o old_a stile_n use_v by_o we_o here_o in_o england_n each_o month_n be_v note_v with_o its_o proper_a name_n as_o january_n february_n march_n etc._n etc._n and_o every_o day_n distinguish_v with_o arithmetical_a figure_n as_o 1_o 2_o 3_o 4_o etc._n etc._n to_o the_o end_n of_o the_o month_n the_o other_o calendar_n be_v a_o calendar_n of_o the_o new_a stile_n which_o be_v in_o a_o manner_n all_o one_o with_o the_o old_a 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respect_n of_o warp_a and_o shrink_v i_o have_v have_v few_o globe_n come_v to_o mend_v that_o have_v not_o have_v either_o break_a orison_n or_o some_o other_o notorious_a fault_n occasion_v through_o the_o sleightness_n of_o the_o orison_n in_o the_o use_v the_o globe_n keep_v the_o east_n side_n of_o the_o horizon_n always_o towards_o you_o unless_o your_o proposition_n require_v the_o turn_n of_o it_o which_o east_n side_n you_o may_v know_v by_o the_o word_n east_n place_v on_o the_o outmost_a verge_n thereof_o for_o then_o have_v you_o the_o graduated_a side_n of_o the_o meridian_n always_o towards_o you_o the_o quadrant_n of_o altitude_n before_o you_o and_o the_o globe_n divide_v exact_o into_o two_o equal_a part_n so_o oft_o as_o i_o name_n to_o at_z of_o or_o under_o the_o meridian_n or_o horizon_n i_o mean_v the_o east_n side_n of_o the_o meridian_n and_o superficies_n of_o the_o horizon_n because_o the_o east_n side_n of_o the_o meridian_n pass_v through_o the_o north_n and_o south_n point_n both_o of_o the_o globe_n and_o horizon_n and_o agree_v just_a with_o the_o middle_n of_o the_o axis_n and_o the_o superficies_n of_o the_o horizon_n divide_v the_o globe_n exact_o into_o two_o equal_a part_n it_o you_o happen_v to_o use_v the_o globe_n on_o the_o south_n side_n the_o equator_fw-la you_o must_v draw_v the_o wire_n out_o of_o either_o pole_n and_o change_v they_o to_o the_o contrary_a pole_n put_v the_o long_a wire_n into_o the_o south_n pole_n and_o because_o on_o the_o other_o side_n the_o equator_fw-la the_o south_n pole_n be_v elevate_v therefore_o you_o must_v elevate_v the_o south_n pole_n of_o the_o globe_n above_o the_o horizon_n according_a to_o the_o south_n latitude_n of_o your_o place_n as_o shall_v be_v show_v hereafter_o in_o the_o work_a some_o problem_n it_o will_v be_v require_v that_o you_o turn_v the_o globe_n to_o look_v on_o the_o west_n side_n thereof_o which_o turn_v will_v be_v apt_a to_o jog_v the_o ball_n so_o as_o the_o degree_n that_o be_v at_o the_o horizon_n or_o meridian_n will_v be_v move_v away_o and_o thereby_o the_o position_n of_o the_o globe_n alter_v to_o avoid_v which_o inconvenince_n you_o may_v make_v use_n of_o a_o quill_n thrust_v the_o feather_n end_n between_o the_o ball_n and_o the_o brazen_a meridian_n and_o so_o wedge_n it_o up_o without_o wrong_v the_o globe_n at_o all_o till_o your_o proposition_n be_v answer_v problem_n i._n to_o find_v the_o longitude_n and_o latitude_n of_o place_n on_o the_o terrestrial_a globe_n seek_v the_o place_n on_o the_o terrestrial_a globe_n who_o longitude_n and_o latitude_n you_o will_v know_v and_o bring_v that_o place_n to_o the_o brazen_a meridian_n and_o see_v how_o many_o degree_n of_o the_o equator_fw-la be_v cut_v by_o the_o meridian_n from_o the_o first_o general_a meridian_n which_o on_o my_o globe_n pass_v through_o gratiosa_fw-la one_o of_o the_o isle_n of_o the_o azore_n for_o that_o number_n of_o degree_n be_v the_o longitude_n of_o the_o place_n example_n i_o desire_v to_o know_v the_o longitude_n of_o london_n and_o close_o to_o the_o name_n london_n i_o find_v a_o small_a mark_n 0_o thus_o which_o small_a mark_n be_v in_o some_o globe_n and_o map_n adorn_v with_o the_o picture_n of_o a_o steeple_n etc._n etc._n therefore_o i_o do_v not_o bring_v the_o word_n london_n to_o the_o meridian_n but_o that_o small_a mark_n for_o that_o always_o represent_v the_o the_o town_n or_o city_n seek_v for_o and_o keep_v the_o globe_n steady_a in_o this_o position_n i_o examine_v how_o many_o degree_n of_o the_o equator_fw-la be_v contain_v between_o the_o brazen_a meridian_n and_o the_o first_o general_a meridian_n which_o i_o find_v to_o be_v 24._o deg_n 00._o min._n therefore_o i_o say_v the_o longitude_n of_o london_n be_v 24._o degree_n 00._o min._n for_o the_o latitude_n see_v on_o the_o brazen_a meridian_n how_o many_o degree_n be_v contain_v between_o the_o equator_fw-la and_o the_o mark_n for_o london_n which_o in_o this_o example_n be_v 51½_n therefore_o i_o say_v london_n have_v 51½_n degree_n north_n latitude_n problem_n ii_o the_o longitude_n and_o latitude_n be_v know_v to_o rectify_v the_o globe_n fit_a for_o use_v 1._o when_o you_o rectify_v the_o globe_n to_o any_o particular_a latitude_n you_o must_v move_v the_o brazen_a meridian_n through_o the_o notch_n of_o the_o horizon_n till_o the_o same_o number_n of_o degree_n account_v on_o the_o meridian_n from_o the_o pole_n about_o which_o the_o hour-circle_n be_v towards_o the_o north_n point_n in_o the_o horizon_n if_o in_o north_n latitude_n and_o towards_o the_o south_n if_o in_o south_n latitude_n come_v just_a to_o the_o edge_n of_o the_o horizon_n example_n by_o the_o former_a proposition_n i_o find_v the_o latitude_n of_o london_n to_o be_v 51½_n degree_n north_n latitude_n therefore_o i_o count_v 51½_n degree_n from_o the_o pole_n downward_o towards_o my_o right_a hand_n and_o turn_v the_o meridian_n through_o the_o notch_n of_o the_o horizon_n till_o those_o 51½_n degree_n come_v exact_o to_o the_o uppermost_a edge_n of_o the_o north_n point_n in_o the_o horizon_n and_o then_o be_v the_o meridian_n rectify_v to_o the_o latitude_n of_o london_n 2._o next_o rectify_v the_o quadrant_n of_o altitude_n after_o this_o manner_n screw_v the_o edge_n of_o the_o nut_n that_o be_v even_o with_o the_o graduated_a edge_n of_o the_o thin_a plate_n to_o 51½_n degree_n of_o the_o brazen_a meridian_n account_v from_o the_o equinoctial_a on_o the_o southern_a side_n the_o horizon_n which_o be_v just_a the_o zenith_n of_o london_n and_o then_o be_v your_o quadrant_n rectify_v 3._o bring_v the_o degree_n of_o the_o ecliptic_a the_o sun_n be_v in_o that_o day_n to_o the_o meridian_n which_o you_o shall_v learn_v to_o know_v by_o the_o next_o problem_n and_o then_o turn_v the_o index_n of_o the_o hour_n circle_n to_o the_o hour_n 12._o on_o the_o south_n side_n the_o hour_n circle_n and_o then_o be_v your_o hour_n circle_n also_o rectify_v fit_a to_o use_v for_o that_o day_n 4._o last_o if_o you_o will_v rectify_v the_o globe_n to_o correspond_v in_o all_o respect_n with_o the_o position_n and_o situation_n of_o the_o sphere_n you_o must_v set_v the_o four_o quarter_n of_o the_o horizon_n viz._n east_n west_n north_n and_o south_n agreeable_a with_o the_o four_o quarter_n of_o the_o world_n which_o you_o may_v do_v by_o the_o needle_n in_o the_o bottom_n of_o the_o horizon_n for_o you_o must_v turn_v the_o globe_n so_o long_o till_o the_o needle_n point_fw-fr just_a to_o the_o flower_n de_fw-fr luce_fw-fr next_o you_o must_v set_v the_o plain_a of_o the_o wooden_a horizon_n parallel_v to_o the_o horizon_n of_o the_o world_n which_o you_o may_v try_v by_o set_v a_o common_a level_n on_o the_o four_o quatre_n of_o the_o horizon_n and_o then_o posit_v the_o degree_n of_o the_o ecliptic_a the_o sun_n be_v in_o to_o the_o height_n above_o or_o depth_n below_o the_o horizon_n the_o sun_n have_v in_o heaven_n as_o 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represent_v therefore_o among_o the_o division_n i_o seek_v for_o 10_o and_o direct_o against_o it_o in_o the_o circle_n of_o sign_n i_o find_v ♉_o 29._o degree_n therefore_o i_o say_v may_v 10._o the_o sun_n place_n be_v in_o 29._o degree_n of_o ♉_o but_o note_n that_o if_o it_o be_v leap_v year_n instead_o of_o the_o 10._o of_o may_v you_o must_v take_v the_o 11._o of_o may_n because_o february_n have_v in_o a_o leap_v year_n 29._o day_n the_o 29._o of_o february_n must_v be_v reckon_v for_o the_o first_o of_o march_n and_o the_o first_o of_o march_n for_o the_o second_o of_o march_n the_o second_o of_o march_n for_o the_o three_o of_o march_n and_o so_o throughout_o the_o year_n the_o leap_v year_n be_v cause_v by_o the_o six_o odd_a hour_n more_o than_o 365._o day_n that_o be_v assign_v to_o
what_o elevation_n of_o the_o pole_n the_o day_n shall_v be_v a_o hour_n short_a by_o this_o problem_n may_v be_v find_v the_o alteration_n of_o climate_n for_o as_o be_v say_v in_o the_o definition_n of_o climate_n book_n 1._o fol._n 28._o climate_n alter_v according_a to_o the_o half-hourly_a increase_n of_o the_o long_a day_n therefore_o the_o latitude_n of_o 56½_n degree_n have_v its_o day_n increase_v a_o whole_a hour_n be_v distant_a from_o the_o latitude_n of_o london_n by_o the_o space_n of_o two_o climate_n prob._n l._n the_o sun_n place_v give_v to_o find_v what_o alteration_n of_o declination_n be_v must_v have_v to_o make_v the_o day_n a_o hour_n long_o or_o short_a and_o in_o what_o number_n of_o daâ—es_n it_o will_v be_v rectify_v the_o globe_n to_o the_o latitude_n of_o the_o place_n and_o bâ—ing_v the_o sun_n place_n to_o the_o east_n side_n the_o horizon_n and_o note_n against_o what_o degree_n of_o the_o horizon_n it_o be_v then_o bring_v one_o of_o the_o colour_n to_o intersect_v the_o horizon_n in_o that_o degree_n of_o the_o horizon_n and_o at_o the_o point_n of_o intersection_n make_v a_o prick_n in_o the_o colour_n and_o observe_v what_o degree_n of_o the_o equator_fw-la be_v then_o at_o the_o meridian_n then_o turn_v the_o globe_n westward_o if_o the_o day_n shorten_v but_o eastward_n if_o they_o lengthen_v till_o 7½_n degree_n of_o the_o equator_fw-la pass_v through_o the_o meridian_n and_o where_o the_o horizon_n intersect_v the_o same_o colour_n make_v another_o prick_n in_o the_o colour_n afterward_o bring_v the_o colour_n to_o the_o meridian_n and_o count_v the_o number_n of_o degree_n between_o the_o two_o prick_n for_o so_o many_o degree_n must_v the_o sun_n declination_n alter_v to_o lengthen_v or_o shorten_v the_o day_n a_o hour_n example_n the_o sun_n place_n be_v ♉_o 10._o i_o will_v know_v how_o much_o he_o must_v alter_v his_o declination_n before_o the_o day_n be_v a_o hour_n long_o here_o at_o london_n therefore_o i_o 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day_n a_o hour_n long_o thushave_v the_o sun_n first_o place_n give_v and_o its_o second_o place_n find_v you_o may_v by_o find_v those_o two_o place_n on_o the_o plain_a of_o the_o horizon_n also_o find_v the_o number_n of_o day_n comprehend_v between_o they_o as_o you_o be_v teach_v by_o the_o four_o problem_n this_o problem_n thus_o wrought_v for_o different_a time_n of_o the_o year_n will_v show_v the_o fallacy_n of_o that_o vulgar_a rule_n which_o make_v the_o day_n to_o be_v lengthen_v or_o shorten_v a_o hour_n in_o every_o fifteen_o day_n when_o as_o the_o lengthen_v or_o shorten_v of_o day_n keep_v no_o such_o equality_n of_o proportion_n for_o when_o the_o sun_n be_v near_o the_o equinoctial_a point_n the_o day_n lengthen_v or_o shorten_v very_o fast_o but_o when_o he_o be_v near_o the_o tropical_a point_n very_o slow_o prob._n li._n of_o the_o difference_n of_o civil_a and_o natural_a day_n common_o call_v the_o equation_n of_o civil_a day_n and_o how_o it_o may_v be_v find_v by_o the_o globe_n the_o civil_a day_n be_v that_o space_n of_o time_n contain_v just_o 24._o hour_n reckon_v from_o 12_o a_o clock_n on_o one_o day_n to_o 12_o a_o clock_n the_o next_o day_n in_o which_o space_n of_o time_n the_o equinoctial_a make_v upon_o the_o pole_n of_o the_o world_n a_o diurnal_a revolution_n the_o natural_a day_n be_v that_o space_n of_o time_n wherein_o the_o sun_n move_v from_o the_o meridian_n of_o any_o place_n to_o the_o same_o meridian_n again_o these_o day_n be_v at_o one_o time_n of_o the_o year_n long_o than_o at_o another_o and_o at_o all_o time_n long_o than_o the_o civil_a day_n there_o be_v but_o small_a discrepancy_n between_o they_o yet_o some_o there_o be_v make_v by_o a_o twofold_a cause_n for_o first_o the_o sun_n apparent_a motion_n be_v different_a from_o his_o true_a motion_n he_o be_v much_o slow_a in_o his_o apogeum_n than_o he_o be_v in_o his_o perigeum_n for_o when_o the_o sun_n be_v in_o his_o apogeum_n he_o scarce_o move_v 58_o 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degree_n be_v the_o number_n of_o degree_n that_o the_o style_n be_v to_o be_v elevate_v above_o the_o substyle_n example_n here_o at_o london_n i_o will_v make_v a_o dyal_n upon_o a_o plane_n decline_a from_o the_o south_n eastward_n 30._o degree_n and_o recline_v from_o the_o zenith_n 20._o degree_n london_n latitude_n be_v 51½_n degree_n therefore_o have_v on_o the_o plane_n describe_v a_o semi_a circle_n etc._n etc._n as_o be_v direct_v prob._n 4._o i_o rectify_v the_o globe_n quadrant_n of_o altitude_n colour_n and_o hour_n index_n as_o by_o the_o same_o problem_n and_o bring_v the_o low_a end_n of_o the_o quadrant_n of_o altitude_n to_o 30._o degree_n from_o the_o north_n point_n of_o the_o horizon_n towards_o the_o west_n because_o that_o be_v the_o degree_n opposite_a to_o the_o degree_n of_o the_o plane_n declination_n viz_o to_o 30_o degree_n from_o the_o south_n eastward_n and_o i_o bring_v the_o middle_n of_o the_o gnomonical_a semi_a circle_n to_o 20._o degree_n of_o the_o 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thus_o the_o 1_o a_o clock_n hour-line_n 11.40_o who_o compliment_n 90._o be_v 78.20_o 2_o 24.15_o 65.45_o 3_o 38.4_o 51.56_o 4_o 53.36_o 36.24_o i_o measure_v in_o a_o quadrant_n of_o the_o same_o radius_fw-la with_o those_o arch_n already_o draw_v from_o the_o equinoctial_a line_n for_o the_o 1_o a_o clock_n hour_n 78.20_o 2_o 65.45_o 3_o 51.56_o 4_o 36.24_o and_o transfer_v these_o distance_n to_o the_o arch_n draw_v on_o the_o ceiling_n for_o then_o straight_a line_n draw_v through_o the_o mark_n in_o the_o arch_n and_o through_o the_o mark_n in_o the_o equator_fw-la and_o prolong_v both_o way_n to_o a_o convenient_a length_n shall_v be_v the_o several_a hour-line_n a_o foresay_a and_o when_o the_o sun_n shine_v upon_o the_o glass_n at_o nodus_fw-la its_o beam_n shall_v reflect_v upon_o the_o hour_n of_o the_o day_n prob._n xvi_o to_o make_v a_o dyal_n upon_o a_o solid_a ball_n or_o globe_n that_o shall_v show_v the_o hour_n of_o the_o day_n without_o a_o gnomon_n the_o 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triangle_n call_v also_o deltâ—ton_a because_o it_o be_v like_o the_o four_o letter_n of_o the_o greek_n alphabet_n δ_n which_o they_o call_v delta_n it_o consist_v of_o four_o star_n they_o say_v it_o be_v place_v in_o heaven_n by_o mercury_n that_o thereby_o the_o head_n of_o the_o ram_n may_v be_v the_o better_o know_v other_o say_v that_o it_o be_v place_v there_o in_o honour_n of_o the_o geometrician_n among_o who_o the_o triangle_n be_v of_o no_o small_a importance_n other_o affirm_v that_o ceres_n in_o time_n past_o request_v jupiter_n that_o there_o may_v be_v place_v in_o heaven_n some_o figure_n represent_v the_o form_n of_o sicily_n a_o island_n great_o belove_v of_o ceres_n for_o the_o fruitfulness_n thereof_o now_o this_o island_n be_v triangular_a at_o her_o request_n be_v represent_v in_o the_o heaven_n under_o that_o form_n thus_o much_o concern_v the_o constellation_n of_o the_o northern_a hemisphere_n now_o follow_v the_o poeical_a story_n of_o the_o constellation_n 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