call_v the_o houre-circle_n which_o be_v divide_v into_o 24._o equal_a part_n signify_v and_o represent_v unto_o we_o so_o many_o equal_a hour_n whereof_o both_o the_o 〈◊〉_d hour_n be_v fix_v just_a upon_o the_o meridian_n becausâ—â—â—hen_o the_o sun_n come_v to_o the_o meridian_n it_o be_v just_a twelve_o a_o clock_n the_o upper_a xii_o serve_v for_o the_o day_n and_o the_o other_o xii_o beneath_o serve_v for_o the_o night_n the_o index_n or_o the_o painter_n in_o form_n of_o a_o arrow_n fasten_v upon_o the_o pin_n that_o come_v through_o the_o midst_n and_o centre_n of_o this_o circle_n be_v make_v to_o show_v and_o point_n out_o the_o say_a hour_n as_o need_n shall_v requite_v in_o the_o use_n of_o the_o sphere_n the_o use_n of_o this_o hour_n circle_n shall_v be_v show_v hereafter_o when_o we_o shall_v speak_v of_o the_o common_a use_n of_o many_o circle_n of_o the_o sphere_n together_o and_o these_o two_o circle_n that_o be_v the_o meridian_n and_o horizon_n be_v call_v immovable_a because_o they_o keep_v themselves_o always_o and_o in_o all_o place_n over_o the_o same_o part_n of_o the_o earth_n where_o as_o all_o the_o rest_n contain_v within_o these_o two_o move_v round_o about_o altogether_o with_o one_o motion_n in_o the_o space_n of_o four_o and_o twenty_o hour_n this_o motion_n be_v common_a to_o the_o whole_a heaven_n be_v make_v about_o two_o point_n or_o pole_n represent_v in_o this_o sphere_n by_o the_o two_o wyre_n pin_n about_o which_o the_o sphere_n be_v turn_v whereof_o the_o one_o that_o come_v through_o the_o midst_n of_o the_o little_a circle_n fasten_v to_o the_o meridian_n which_o we_o call_v the_o hour_n circle_n represent_v unto_o we_o the_o pole_n arctic_n or_o the_o north_n pole_n the_o other_o because_o it_o be_v opposite_a to_o this_o be_v call_v the_o antarctic_a pole_n that_o be_v the_o right_n opposite_a to_o or_o right_o over_o against_o the_o north_n pole_n which_o be_v also_o the_o south_n pole_n chap._n vii_o of_o the_o equinoctial_a circle_n that_o circle_n which_o compass_v about_o the_o midst_n of_o the_o sphere_n equator_fw-la and_o be_v every_o where_o of_o equal_a distance_n from_o both_o pole_n be_v call_v the_o equinoctial_a circle_n or_o the_o equator_fw-la either_o because_o it_o be_v equal_o distant_a from_o both_o pole_n of_o the_o world_n or_o â—â—se_o because_o the_o sun_n come_v under_o this_o circle_n make_v equality_n of_o day_n and_o night_n throughout_o the_o world_n it_o be_v divide_v at_o the_o utmost_a edge_n or_o both_o side_n thereof_o into_o 360._o degree_n with_o figure_n 〈◊〉_d to_o every_o ten_o degree_n begin_v at_o the_o begin_n of_o aries_n and_o proceed_v eastward_n till_o you_o become_v about_o to_o the_o same_o point_n again_o this_o circle_n have_v many_o use_n 1._o it_o be_v the_o measure_n of_o the_o first_o 〈◊〉_d for_o this_o only_a among_o all_o the_o circle_n of_o the_o sphere_n be_v move_v equal_o both_o in_o a_o right_n and_o 〈…〉_z sphere_n because_o â—_o alone_o be_v perpendicular_a to_o the_o 〈…〉_z world_n about_o which_o the_o sphere_n be_v equal_o turn_v be_v divide_v into_o two_o halt_v by_o every_o horizon_n in_o the_o same_o point_n 2._o it_o be_v the_o measure_n of_o time_n because_o it_o measure_v the_o quantity_n of_o the_o artificial_a and_o natural_a day_n of_o which_o month_n and_o year_n be_v make_v it_o measure_v also_o the_o quantity_n of_o hour_n and_o of_o other_o time_n which_o the_o sun_n make_v go_v under_o the_o zodiac_n and_o therefore_o the_o degree_n of_o the_o equinoctial_a be_v call_v tempora_fw-la that_o be_v time_n 3._o it_o show_v the_o two_o equinoctial_a point_n in_o the_o ecliptic_a cut_v the_o ecliptic_a in_o two_o place_n which_o be_v the_o beginning_n of_o aries_n and_o libra_n and_o the_o sun_n when_o he_o come_v to_o those_o two_o point_n be_v equal_o distant_a from_o both_o pole_n of_o the_o world_n and_o make_v equality_n of_o day_n and_o night_n in_o all_o place_n which_o happen_v in_o our_o time_n about_o the_o 10._o or_o 11._o day_n of_o march_n and_o the_o 13._o or_o 14._o of_o september_n 4._o the_o irregularity_n of_o the_o zodiac_n and_o of_o all_o the_o sign_n and_o degree_n thereof_o be_v measure_v by_o this_o circle_n for_o see_v the_o most_o part_n of_o the_o apparence_n of_o the_o first_o motion_n be_v refer_v to_o the_o zodiac_n which_o be_v not_o turn_v about_o his_o own_o pole_n but_o about_o the_o pole_n of_o the_o sphere_n and_o therefore_o must_v needs_o be_v unequal_o turn_v about_o it_o be_v needful_a that_o this_o inequality_n shall_v be_v rule_v and_o measure_v by_o some_o other_o equal_a motion_n 5._o it_o devide_v the_o sphere_n into_o two_o half_n which_o they_o call_v hemisphaere_n that_o be_v into_o the_o north_n half_a or_o hemisphere_n wherein_o be_v the_o north_n pole_n and_o into_o the_o south_n hemisphere_n wherein_o be_v the_o south_n pole_n 6._o so_o it_o devide_v the_o zodiac_n into_o the_o north_n half_a and_o the_o south_n half_a or_o into_o the_o north_n sign_n and_o the_o south_n sign_n 7._o from_o this_o circle_n be_v number_v the_o declination_n of_o the_o star_n and_o of_o the_o degree_n and_o part_n of_o the_o ecliptic_a and_o of_o any_o other_o point_n of_o heaven_n 8._o and_o in_o this_o circle_n be_v count_v the_o right_a ascension_n of_o the_o same_o degree_n and_o star_n etc._n etc._n for_o the_o right_a ascension_n of_o any_o star_n or_o point_n of_o the_o heaven_n be_v nothing_o else_o but_o the_o arch_n of_o the_o equinoctial_a circle_n contain_v between_o the_o beginning_n of_o aries_n and_o the_o meridian_n the_o same_o star_n or_o point_n be_v first_o bring_v under_o the_o meridian_n 9_o in_o the_o equinoctial_a be_v count_v the_o ascentionall_a difference_n and_o the_o oblique_a ascension_n and_o descension_n of_o any_o point_n of_o heaven_n and_o from_o the_o same_o circle_n be_v reckon_v the_o distance_n of_o the_o sun_n rise_v from_o the_o true_a east_n point_n for_o the_o oblique_a ascension_n or_o descension_n be_v nothing_o else_o but_o the_o arch_n of_o the_o equinoctial_a contain_v between_o the_o beginning_n of_o aries_n and_o that_o point_n of_o the_o equinoctial_a eastward_n which_o arise_v or_o set_v together_o with_o the_o star_n or_o point_n that_o be_v give_v in_o a_o oblique_a sphere_n and_o the_o difference_n ascentionall_a or_o descentionall_a be_v nought_o else_o but_o the_o arch_n of_o the_o equator_fw-la whereby_o the_o right_a and_o oblique_a ascension_n or_o descension_n of_o a_o star_n or_o any_o other_o point_n in_o heaven_n do_v differ_v each_o from_o other_o the_o distance_n of_o the_o sun_n rise_v from_o the_o true_a east_n point_n which_o in_o latin_a be_v call_v amplitudo_fw-la ortiva_fw-la be_v the_o arch_n of_o the_o horizon_n contain_v between_o the_o equinoctial_a and_o the_o parallel_n of_o the_o sun_n or_o his_o centre_n when_o he_o rise_v 10._o in_o geography_n we_o count_v the_o longitude_n of_o place_n in_o this_o circle_n and_o from_o it_o we_o reckon_v the_o latitude_n in_o the_o globe_n of_o the_o earth_n and_o in_o map_n and_o sea_n chart_n for_o the_o longitude_n of_o a_o place_n be_v nothing_o else_o but_o the_o arch_n of_o the_o equinoctial_a circle_n contain_v between_o two_o meridian_n whereof_o one_o go_v by_o the_o canary_n land_n and_o the_o other_o by_o the_o place_n that_o be_v give_v and_o the_o latitude_n of_o a_o place_n be_v the_o arch_n of_o a_o meridian_n contain_v between_o the_o equinoctial_a and_o the_o zenith_n of_o the_o place_n that_o be_v give_v 11._o in_o dial_v this_o circle_n be_v of_o especial_a use_n for_o by_o mean_n of_o it_o the_o space_n of_o the_o hour_n be_v divide_v in_o all_o kind_n of_o dial_n horizontall_a erect_v direct_a decline_a incline_v recline_a etc._n etc._n 12._o in_o astrology_n the_o twelve_o house_n be_v set_v out_o by_o the_o equal_a division_n of_o this_o circle_n into_o twelve_o part_n according_a to_o the_o way_n devise_v by_o regiomontanus_n which_o way_n be_v common_o call_v rational_a or_o reasonable_a and_o this_o circle_n govern_v the_o direction_n whereby_o thing_n to_o come_v be_v artificial_o foretold_v chap._n viii_o the_o description_n of_o the_o zodiac_n the_o great_a broad_a circle_n that_o compass_v about_o the_o sphere_n oblique_o come_v near_o the_o pole_n of_o the_o sphere_n in_o one_o place_n then_o in_o another_o be_v call_v the_o zodiac_n round_o about_o through_o the_o midst_n of_o this_o circle_n be_v draw_v the_o circumference_n common_o call_v the_o ecliptic_a line_n divide_v the_o whole_a sphere_n and_o the_o whole_a breadth_n of_o the_o zodiac_n throughout_o into_o two_o equal_a part_n in_o this_o sphere_n there_o be_v represent_v unto_o we_o two_o ecliptic_a line_n the_o one_o may_v be_v call_v the_o middle_n or_o fix_v ecliptic_a which_o keep_v always_o the_o
point_n the_o difference_n of_o the_o sun_n return_v be_v for_o certain_a day_n insensible_a hereof_o the_o sun_n be_v say_v to_o make_v his_o station_n or_o to_o stand_v when_o he_o come_v to_o either_o of_o those_o point_n they_o that_o dwell_v without_o the_o tropicke_n have_v two_o sunne-standing_n that_o be_v the_o summer_n sun-standing_a or_o high_a sun-standing_a when_o the_o sun_n in_o summer_n time_n be_v at_o the_o high_a and_o next_o unto_o our_o zenith_n be_v in_o the_o begin_n of_o cancer_n and_o the_o winterly_a or_o low_a sun-standing_a when_o the_o sun_n in_o winter_n time_n be_v low_a in_o the_o meridian_n and_o further_a from_o our_o zenith_n but_o they_o that_o dwell_v within_o the_o tropic_n by_o a_o certain_a similitude_n take_v from_o our_o sun-standing_n wherein_o the_o sun_n be_v either_o high_a or_o low_a be_v say_v to_o have_v four_o sun-standing_n that_o be_v two_o high_a sun-standing_n when_o the_o sun_n pass_v by_o their_o zenith_n the_o high_a point_n in_o the_o heaven_n which_o happen_v twice_o every_o year_n in_o two_o place_n equal_o distant_a from_o the_o beginning_n of_o cancer_n and_o capricorn_n and_o two_o low_a sun-standing_n when_o the_o sun_n be_v in_o the_o begin_n of_o cancer_n and_o capricorn_n 2._o in_o this_o circle_n by_o the_o arch_n contain_v between_o the_o equator_fw-la and_o ecliptic_a we_o measure_v the_o great_a declination_n of_o the_o sun_n or_o obliquity_n of_o the_o ecliptic_a which_o in_o ptolomee_n time_n be_v 23._o degree_n 51._o minute_n and_o one_o three_o part_n of_o a_o minute_n but_o ever_o since_o that_o time_n it_o have_v be_v find_v by_o observation_n to_o decrease_v so_o as_o in_o this_o our_o age_n it_o be_v no_o more_o than_o 23._o degree_n and_o one_o half_a or_o little_o more_o notwithstanding_o copernicus_n think_v that_o the_o great_a obliquity_n be_v 23._o degree_n 28._o minute_n 3._o it_o show_v the_o place_n of_o the_o ecliptic_a in_o which_o the_o sun_n come_v near_o to_o our_o zenith_n make_v the_o artificial_a day_n long_a or_o go_v further_a from_o the_o same_o point_n make_v the_o same_o short_a 4._o it_o devide_v the_o zodiac_n into_o two_o half_n the_o one_o ascend_v and_o the_o other_o descend_v 5._o hereby_o also_o the_o sign_n be_v distinguish_v which_o do_v rise_v right_o and_o which_o rise_v oblique_o in_o a_o oblique_a sphere_n for_o the_o descend_v half_n rise_v right_o and_o the_o ascend_a half_n rise_v oblique_o 6._o so_o the_o point_n of_o the_o ecliptic_a be_v show_v by_o this_o circle_n wherein_o the_o great_a difference_n of_o right_n and_o oblique_a ascension_n happen_v it_o distinguish_v those_o sign_n in_o which_o when_o the_o sun_n move_v the_o artificial_a day_n be_v increase_v and_o the_o night_n decrease_v from_o those_o sign_n wherein_o the_o day_n be_v diminish_v and_o the_o night_n increase_n 7._o in_o this_o circle_n be_v the_o bredth_n of_o the_o zone_n bound_v for_o the_o obliquity_n of_o the_o ecliptic_a double_v show_v the_o breadth_n of_o the_o torrid_a or_o burn_a zone_n the_o distance_n of_o the_o pole_n of_o the_o ecliptic_a and_o of_o the_o pole_n of_o the_o equator_fw-la show_v the_o breadth_n of_o the_o cold_a or_o freeze_a zone_n and_o the_o other_o two_o arch_n remain_v show_v the_o bredth_n of_o the_o temperate_a zone_n chap._n xiii_o the_o description_n of_o the_o two_o tropicke_n the_o two_o small_a circle_n equidistant_a in_o all_o place_n from_o the_o equinoctial_a and_o come_v under_o these_o solstitial_a point_n of_o the_o ecliptic_a on_o both_o side_n be_v call_v the_o tropic_n that_o be_v circle_n of_o return_n and_o they_o be_v so_o call_v because_o that_o when_o the_o sun_n come_v to_o they_o it_o begin_v to_o return_v back_o again_o towards_o the_o equinoctial_a circle_n or_o else_o they_o may_v be_v so_o call_v because_o they_o be_v describe_v by_o the_o turn_n about_o of_o the_o tropical_a point_n of_o cancer_n and_o capricorn_n they_o be_v also_o call_v solstitial_a circle_n that_o be_v circle_n of_o the_o sun-standing_n because_o that_o by_o reason_n of_o the_o insensible_a alteration_n of_o the_o declination_n of_o the_o ecliptic_a for_o some_o space_n both_o before_o and_o after_o the_o tropical_a point_n the_o sun_n in_o respect_n of_o his_o meridian_n altitude_n or_o in_o respect_n of_o the_o motion_n he_o have_v towards_o the_o north_n or_o south_n by_o reason_n of_o the_o obliquity_n of_o the_o ecliptic_a seem_v to_o stand_v as_o it_o be_v for_o certain_a day_n in_o those_o place_n there_o be_v two_o tropic_n the_o tropic_a of_o cancer_n and_o the_o tropic_n of_o capricorn_n the_o tropic_n of_o cancer_n touch_v the_o ecliptic_a in_o the_o begin_n of_o cancer_n which_o be_v the_o most_o northerly_a point_n of_o the_o ecliptic_a or_o it_o be_v the_o tropic_a describe_v in_o the_o first_o movable_a sphere_n by_o the_o summer_n solstitial_a point_n this_o circle_n be_v call_v the_o tropic_a of_o cancer_n because_o it_o touch_v the_o ecliptic_a in_o the_o begin_n of_o cancer_n it_o be_v also_o call_v the_o summer_n tropic_n and_o the_o tropic_a of_o the_o summer_n sun-standing_a because_o that_o when_o the_o sun_n come_v to_o it_o the_o summer_n begin_v it_o be_v call_v the_o north_n tropic_n because_o it_o be_v in_o the_o north_n part_n of_o the_o world_n and_o the_o circle_n of_o the_o high_a sunne-standing_a because_o the_o sun_n come_v to_o it_o be_v high_a in_o the_o meridian_n and_o next_o unto_o our_o zenith_n which_o dwell_v in_o the_o north_n part_n of_o the_o world_n without_o the_o tropic_n the_o tropic_a of_o capricorn_n be_v the_o tropic_a which_o touch_v the_o ecliptic_a in_o the_o first_o point_n of_o capricorn_n it_o be_v call_v the_o tropic_a of_o capricorn_n because_o it_o touch_v the_o ecliptic_a in_o the_o begin_n of_o capricorn_n it_o be_v call_v the_o winter_n tropic_n and_o tropic_a of_o the_o winter_n sun-standing_a because_o the_o sun_n come_v to_o it_o in_o winter_n it_o be_v also_o call_v the_o circle_n of_o the_o low_a sunne-standing_a because_o that_o when_o the_o sun_n come_v to_o this_o tropic_n it_o be_v further_a distant_a from_o our_o zenith_n and_o have_v his_o low_a height_n in_o the_o meridian_n chap._n xiiii_o use_v of_o the_o tropicke_n 1._o the_o tropic_n show_v the_o tropical_a or_o solstitial_a point_n of_o the_o ecliptic_a that_o be_v the_o point_n wherein_o the_o sun_n seem_v to_o stand_v and_o begin_v to_o return_v back_o again_o 2._o they_o bind_v out_o the_o great_a declination_n of_o the_o sun_n which_o in_o our_o time_n be_v about_o 23._o degree_n and_o a_o half_a 3._o therefore_o they_o do_v also_o bind_v out_o the_o obliquity_n of_o the_o ecliptic_a for_o they_o be_v the_o bound_n of_o the_o sun_n way_n beyond_o which_o the_o sun_n go_v not_o at_o any_o time_n 4._o the_o sun_n come_v to_o either_o of_o these_o circle_n be_v either_o near_a or_o further_a distant_a from_o our_o vertical_a point_n 5._o in_o a_o oblique_a sphere_n they_o measure_v out_o the_o short_a and_o long_a artificial_a day_n and_o night_n 6._o the_o tropic_n aswell_o in_o heaven_n as_o in_o earth_n contain_v betwixt_o they_o the_o torrid_a zone_n and_o separate_v it_o from_o the_o temperate_a chap._n xv._n the_o polar_a circle_n the_o two_o small_a circle_n that_o be_v next_o about_o the_o pole_n of_o the_o sphere_n be_v call_v the_o polar_n circle_n they_o be_v draw_v by_o the_o pole_n of_o the_o ecliptic_a and_o be_v every_o where_o equidistant_a from_o the_o equinoctial_a and_o from_o the_o pole_n of_o the_o sphere_n they_o be_v call_v polar_n circle_n either_o because_o they_o be_v near_o the_o pole_n of_o the_o sphere_n or_o else_o because_o they_o be_v describe_v by_o the_o motion_n of_o the_o pole_n of_o the_o ecliptic_a and_o therefore_o there_o be_v two_o polar_n circle_n that_o be_v so_o many_o as_o there_o be_v pole_n of_o the_o ecliptic_a the_o polar_a circle_n arctic_a and_o the_o polar_a antarctic_a the_o arctic_a polar_n circle_n be_v that_o which_o pass_v by_o the_o north_n pole_n of_o the_o ecliptic_a or_o which_o be_v describe_v by_o the_o north_n pole_n of_o the_o ecliptic_a be_v carry_v about_o with_o the_o motion_n of_o the_o first_o movable_a sphere_n the_o antarctic_a polar_n circle_n be_v that_o which_o go_v by_o the_o south_n pole_n of_o the_o ecliptic_a be_v describe_v with_o the_o first_o motion_n by_o the_o antarctic_a pole_n of_o the_o ecliptic_a the_o distance_n of_o these_o polar_n circle_n from_o the_o pole_n of_o the_o sphere_n be_v equal_a to_o the_o distance_n of_o the_o tropick_n from_o the_o equinoctial_a which_o in_o our_o time_n be_v about_o 23._o degr_n and_o a_o half_a for_o so_o much_o as_o be_v the_o obliquity_n of_o the_o zodiac_n whereto_o the_o distance_n of_o the_o tropic_n from_o the_o equinoctial_a be_v always_o equal_a so_o
much_o be_v the_o pole_n of_o the_o ecliptic_a distant_a from_o the_o pole_n of_o the_o world_n chap._n xvi_o use_v of_o the_o polar_a circle_n 1._o the_o polar_a circle_n show_v the_o pole_n of_o the_o zodiac_n and_o show_v their_o distance_n from_o the_o pole_n of_o the_o equinoctial_a 2._o the_o temperate_a zone_n be_v bound_v by_o these_o polar_n circle_n for_o the_o arctic_a circle_n bound_v the_o north_n side_n of_o the_o north_n temperate_a zone_n and_o the_o antarctic_a circle_n bound_v out_o the_o south_n side_n of_o the_o south_n temperate_a zone_n 3._o the_o polar_a circle_n separate_v the_o temperate_a zone_n from_o the_o cold_a zone_n which_o they_o compass_v round_o about_o and_o enclose_v within_o they_o therefore_o the_o four_o lesser_a circle_n that_o be_v the_o two_o polar_a circle_n and_o the_o tropic_n divide_v heaven_n and_o earth_n into_o five_o zone_n chap._n xvii_o of_o the_o zone_n a_o zone_n be_v a_o space_n of_o heaven_n or_o earth_n contain_v between_o two_o of_o the_o small_a circle_n or_o enclose_v within_o the_o compass_n of_o either_o polar_a circle_n they_o be_v call_v zone_n that_o be_v as_o much_o to_o say_v as_o girdle_n because_o they_o compass_v about_o heaven_n or_o earth_n like_o a_o girdle_n the_o zone_n be_v divide_v by_o ancient_a writer_n into_o two_o kind_n that_o be_v into_o temperate_a and_o untemperate_a zone_n a_o temperate_a zone_n be_v the_o space_n of_o heaven_n or_o earth_n contain_v between_o either_o of_o the_o tropic_n and_o the_o next_o polar_a circle_n there_o be_v two_o temperate_a zone_n the_o one_o north_n the_o other_o south_n the_o north_n temperate_a zone_n be_v contain_v between_o the_o tropic_n of_o cancer_n and_o the_o arctic_a polar_n circle_n the_o south_n temperate_a zone_n be_v that_o which_o be_v contain_v between_o the_o tropic_n of_o capricorn_n and_o the_o antarctic_a polar_n circle_n they_o be_v call_v temperate_a zone_n because_o they_o have_v a_o better_a temperature_n of_o the_o air_n for_o the_o most_o part_n and_o more_o mere_a for_o habitation_n than_o the_o untemperate_a zone_n the_o breadth_n of_o either_o temperate_a zone_n be_v always_o equal_a to_o the_o compliment_n of_o the_o distance_n of_o the_o tropic_n and_o therefore_o in_o this_o age_n be_v about_o 43._o degree_n that_o be_v 2580._o english_a mile_n there_o be_v two_o kind_n of_o untemperate_a zone_n the_o one_o exceed_v in_o heat_n the_o other_o in_o cold_a for_o the_o most_o part_n the_o hot_a untemperate_a zone_n call_v also_o the_o torrid_a that_o be_v the_o burn_a or_o broil_v zone_n be_v that_o space_n of_o heaven_n or_o earth_n which_o be_v contain_v between_o the_o tropick_n it_o be_v call_v the_o burn_a zone_n because_o that_o by_o reason_n of_o the_o sun_n continual_a go_v over_o that_o zone_n and_o cast_v his_o beam_n direct_o down_o thereupon_o it_o be_v scorch_v with_o overmuch_a heat_n and_o be_v not_o so_o meet_v to_o be_v inhabit_v as_o the_o temperate_a zone_n the_o breadth_n of_o this_o zone_n be_v always_o equal_a to_o the_o obliquity_n of_o the_o zodiac_n or_o great_a declination_n of_o the_o sun_n double_v which_o in_o our_o time_n be_v about_o 47._o degree_n that_o be_v 2820._o english_a mile_n the_o cold_a or_o freeze_a zone_n be_v the_o space_n of_o heaven_n or_o earth_n contain_v within_o the_o polar_a circle_n there_o be_v two_o cold_a zone_n the_o one_o north_n contain_v within_o the_o compass_n of_o the_o arctic_a circle_n the_o other_o south_n contain_v within_o the_o compass_n of_o the_o antarctic_a polar_a circle_n these_o zone_n exceed_v in_o cold_a because_o they_o want_v the_o sight_n of_o the_o sun_n for_o a_o great_a part_n of_o the_o year_n and_o when_o the_o sun_n appear_v unto_o they_o his_o beam_n fall_v so_o oblique_o upon_o they_o that_o they_o can_v in_o all_o likelihood_n receive_v but_o small_a heat_n thereby_o for_o the_o most_o part_n the_o breadth_n of_o these_o zone_n be_v measure_v from_o the_o pole_n of_o the_o world_n to_o the_o polar_a circle_n and_o therefore_o must_v always_o be_v so_o much_o as_o the_o polar_a circle_n be_v distant_a from_o the_o pole_n that_o be_v in_o our_o age_n about_o 23._o degree_n and_o a_o half_a which_o make_v 1410._o english_a mile_n chap._n xviii_o the_o difference_n of_o shadow_n that_o the_o sun_n make_v in_o these_o zone_n they_o that_o dwell_v in_o the_o torride_a zone_n do_v cast_v their_o shadow_n which_o the_o sun_n make_v at_o noon_n which_o we_o may_v therefore_o call_v their_o noon_n shadow_n both_o towards_o the_o north_n and_o towards_o the_o south_n towards_o the_o north_n when_o the_o sun_n be_v betwixt_o their_o zenith_n and_o the_o south_n point_n of_o the_o horizon_n and_o towards_o the_o south_n where_o the_o sun_n be_v between_o their_o zenith_n and_o the_o north._n for_o see_v the_o zenith_n of_o they_o that_o dwell_v in_o that_o zone_n be_v between_o the_o tropic_n the_o sun_n must_v needs_o be_v sometime_o northwards_o from_o their_o zenith_n and_o so_o make_v a_o south_n shadow_n and_o sometime_o southwards_o and_o then_o make_v a_o north_n shadow_n for_o which_o cause_n they_o that_o inhabit_v this_o zone_n be_v call_v amphiscij_fw-la that_o be_v such_o as_o cast_v their_o noon_n shadow_n on_o both_o side_n but_o they_o that_o dwell_v in_o the_o temperate_a zone_n be_v call_v heteroscij_fw-la that_o be_v such_o as_o cast_v their_o shadow_n at_o noon_n one_o way_n only_o for_o they_o that_o dwell_v in_o the_o north_n temperate_a zone_n have_v the_o sun_n always_o at_o noon_n from_o their_o zenith_n southwards_o and_o therefore_o must_v needs_o always_o cast_v their_o noon_n shadow_n northwards_o whereas_o contrariwise_o they_o that_o inhabit_v the_o south_n temperate_a zone_n have_v the_o sun_n at_o noon_n always_o northwards_o from_o their_o zenith_n must_v needs_o have_v their_o shadow_n at_o noon_n always_o towards_o the_o south_n and_o they_o that_o be_v in_o the_o cold_a zone_n be_v call_v periscij_fw-la that_o be_v such_o as_o cast_v their_o shadow_n round_o about_o they_o for_o see_v the_o sun_n continue_v every_o year_n for_o certain_a day_n together_o always_o above_o their_o horizon_n and_o therefore_o move_v round_o about_o they_o without_o set_v it_o must_v needs_o be_v that_o their_o shadow_n also_o be_v carry_v round_o about_o they_o fall_v towards_o all_o part_n of_o the_o world_n in_o the_o space_n of_o 24._o hour_n *_o âŽ_o *_o the_o second_o part_n of_o the_o use_n of_o the_o uppermost_a sphere_n and_o of_o the_o circle_n thereof_o joint_o prop._n i._o to_o rectify_v the_o sphere_n to_o the_o latitude_n etc._n etc._n first_o find_v by_o observation_n or_o otherwise_o the_o height_n of_o the_o pole_n or_o latitude_n of_o that_o place_n for_o which_o you_o will_v rectify_v the_o sphere_n then_o by_o turn_v about_o the_o meridian_n of_o the_o sphere_n lift_v up_o or_o put_v down_o the_o north_n pole_n of_o the_o sphere_n about_o which_o the_o hour_n circle_n be_v fasten_v till_o the_o arch_n of_o the_o meridian_n from_o the_o north_n part_n of_o the_o horizon_n upward_o unto_o the_o pole_n be_v just_a so_o many_o degree_n as_o the_o elevation_n of_o the_o pole_n or_o latitude_n of_o the_o place_n be_v find_v to_o be_v for_o so_o have_v you_o the_o sphere_n due_o rectify_v as_o for_o example_n the_o latitude_n of_o the_o city_n of_o london_n be_v 51._o degree_n and_o 32._o minute_n therefore_o if_o you_o lift_v up_o the_o north_n pole_n of_o the_o sphere_n above_o the_o north_n part_n of_o the_o horizon_n so_o many_o degree_n and_o minute_n you_o shall_v have_v your_o sphere_n rectify_v for_o that_o place_n prop._n ii_o to_o know_v the_o place_n of_o the_o sun_n etc._n etc._n look_v the_o day_n of_o the_o month_n for_o which_o you_o desire_v to_o know_v the_o place_n of_o the_o sun_n in_o the_o horizon_n and_o see_v what_o sign_n and_o degree_n of_o the_o zodiac_n upon_o the_o horizon_n answer_v thereto_o for_o there_o have_v you_o the_o place_n of_o the_o sun_n take_v for_o example_n the_o 25._o of_o december_n look_v this_o day_n therefore_o in_o the_o horizon_n and_o you_o shall_v find_v answerable_a thereto_o 13._o degree_n and_o about_o 40._o minute_n of_o capricorn_n which_o be_v the_o place_n of_o the_o sun_n at_o that_o time_n prop._n iii_o to_o know_v the_o declination_n of_o the_o sun_n etc._n etc._n bring_v the_o point_n who_o declination_n you_o desire_v to_o know_v unto_o the_o meridian_n of_o the_o sphere_n and_o look_v what_o number_n of_o degree_n and_o minute_n of_o the_o meridian_n be_v contain_v between_o that_o point_n and_o the_o equinoctial_a for_o so_o much_o be_v the_o declination_n as_o if_o you_o will_v know_v the_o declination_n of_o the_o 10._o degree_n of_o taurus_n bring_v that_o degree_n to_o the_o meridian_n and_o you_o shall_v find_v the_o arch_n of_o the_o meridian_n between_o
more_o year_n it_o return_v again_o into_o aries_n the_o revolution_n of_o one_o trigon_n contain_v almost_o 200._o year_n after_o which_o time_n the_o same_o great_a conjunction_n remove_v into_o the_o next_o trigon_n chap._n ix_o the_o use_n of_o the_o zodiac_n 1._o the_o zodiac_n be_v the_o measure_n of_o the_o second_o motion_n as_o the_o equinoctial_a be_v the_o measure_n of_o the_o first_o motion_n 2._o for_o in_o this_o circle_n we_o reckon_v the_o longitude_n and_o from_o it_o we_o count_v the_o latitude_n of_o all_o the_o star_n for_o the_o longitude_n of_o a_o star_n be_v nothing_o else_o but_o the_o arch_n of_o the_o ecliptck_n contain_v between_o the_o beginning_n of_o aries_n and_o the_o circle_n of_o the_o star_n latitude_n and_o the_o latitude_n be_v the_o arch_n of_o a_o great_a circle_n draw_v by_o the_o pole_n of_o the_o ecliptic_a contain_v between_o the_o star_n and_o the_o ecliptic_a 3._o according_a to_o this_o circle_n the_o whole_a heaven_n yea_o the_o whole_a world_n be_v divide_v into_o twelve_o sign_n whereof_o it_o come_v that_o because_o of_o this_o circle_n aswell_o the_o fix_a as_o the_o wander_a star_n which_o we_o call_v planet_n yea_o and_o those_o star_n also_o that_o appear_v of_o a_o sudden_a as_o blaze_a star_n or_o comet_n and_o other_o meteor_n be_v say_v to_o be_v in_o this_o or_o that_o sign_n and_o that_o three_o manner_n of_o way_n first_o to_o be_v in_o a_o sign_n be_v to_o be_v under_o some_o one_o of_o the_o 12._o part_n of_o the_o ecliptic_a thus_o the_o star_n which_o be_v under_o the_o ecliptic_a but_o especial_o the_o sun_n which_o run_v always_o under_o it_o be_v say_v to_o be_v in_o the_o sign_n second_o because_o the_o zodiac_n have_v latitude_n those_o star_n be_v say_v to_o be_v in_o a_o sign_n which_o although_o they_o be_v beside_o the_o ecliptic_a yet_o be_v under_o the_o zodiac_n and_o so_o any_o of_o the_o other_o planet_n which_o for_o the_o most_o part_n wander_v beside_o the_o ecliptic_a may_v be_v say_v to_o be_v in_o some_o sign_n three_o if_o we_o understand_v six_o great_a circle_n to_o be_v draw_v by_o the_o beginning_n of_o the_o twelve_o sign_n and_o by_o the_o pole_n of_o the_o ecliptic_a by_o these_o circle_v the_o whole_a heaven_n or_o rather_o the_o whole_a world_n be_v divide_v into_o twelve_o part_n which_o with_o a_o general_a name_n be_v call_v sign_n thus_o all_o the_o star_n aswell_o fix_v as_o planet_n and_o comet_n which_o be_v without_o the_o zodiac_n in_o any_o of_o these_o part_n may_v be_v say_v to_o be_v in_o some_o sign_n 4._o in_o this_o circle_n be_v note_v the_o degree_n of_o the_o sign_n with_o which_o the_o star_n do_v rise_v and_o set_v as_o well_o in_o a_o right_a as_o in_o a_o oblique_a sphere_n for_o because_o this_o circle_n be_v the_o chief_a all_o celestial_a appearance_n or_o at_o least_o the_o most_o part_n of_o they_o be_v refer_v unto_o it_o and_o not_o unto_o the_o equinoctial_a but_o the_o equinoctial_a measure_v the_o time_n of_o their_o rise_n and_o setting_n 5._o the_o obliquity_n of_o the_o ecliptic_a be_v the_o cause_n of_o the_o inequality_n aswell_o of_o natural_a day_n in_o both_o sphere_n as_o of_o artificial_a day_n in_o a_o oblique_a sphere_n for_o see_v it_o be_v move_v unequal_o because_o it_o be_v move_v upon_o other_o pole_n than_o his_o own_o the_o sun_n which_o be_v the_o author_n and_o maker_n of_o time_n move_v under_o it_o must_v needs_o make_v unequal_a day_n 6._o the_o chief_a time_n be_v define_v by_o this_o circle_n as_o the_o time_n of_o a_o year_n by_o the_o motion_n of_o the_o sun_n the_o time_n of_o a_o month_n by_o the_o motion_n of_o the_o moon_n through_o the_o whole_a compass_n of_o this_o circle_n also_o the_o four_o quarter_n of_o the_o year_n spring_n summer_n autumn_n and_o winter_n whereto_o may_v be_v add_v plato_n his_o great_a year_n which_o be_v the_o time_n wherein_o the_o fix_a star_n make_v one_o revolution_n about_o the_o axtree_n and_o pole_n of_o the_o zodiac_n if_o god_n will_v have_v the_o world_n to_o last_v so_o long_o 7._o the_o ecliptic_a line_n show_v the_o place_n and_o time_n of_o the_o eclipse_n for_o the_o sun_n and_o moon_n be_v eclipse_v only_o under_o it_o or_o near_o unto_o it_o 8._o as_o the_o description_n of_o the_o tropic_n depend_v on_o the_o obliquity_n of_o the_o ecliptic_a so_o the_o polar_n circle_n be_v describe_v by_o the_o pole_n thereof_o 9_o hereof_o it_o come_v that_o by_o reason_n of_o the_o same_o obliquity_n the_o zone_n and_o climate_n be_v set_v forth_o and_o bound_v 10._o this_o circle_n be_v of_o especial_a use_n in_o astrology_n for_o it_o distinguish_v the_o point_n of_o the_o 12._o house_n and_o in_o it_o the_o aspect_n and_o configuration_n of_o the_o planet_n be_v observe_v the_o chief_a judgement_n aswell_o in_o cast_v figure_n as_o in_o revolution_n and_o direction_n be_v take_v from_o this_o circle_n chap._n x._o the_o description_n of_o the_o two_o colour_n the_o two_o circle_n cross_v each_o other_o at_o right_a angle_n in_o the_o pole_n of_o the_o sphere_n be_v call_v the_o colour_n whereof_o the_o one_o that_o pass_v by_o the_o common_a meeting_n of_o the_o ecliptic_a and_o equinoctial_a be_v call_v colurus_n aequinoctiorum_fw-la that_o be_v the_o equinoctial_a colour_n or_o the_o colour_n of_o equal_a day_n and_o night_n the_o other_o pass_v by_o the_o pole_n of_o the_o ecliptic_a and_o the_o solstitial_a point_n be_v call_v colurus_n solstitiorum_fw-la the_o solstitial_a colour_n or_o colour_n of_o the_o sunne-standing_n use_v common_a to_o both_o colour_n 1._o by_o mean_n of_o these_o two_o colour_n all_o the_o movable_a circle_n of_o the_o material_a sphere_n be_v frame_v together_o that_o so_o they_o may_v be_v turn_v about_o like_v as_o the_o whole_a heaven_n be_v move_v 2._o the_o pole_n be_v fasten_v in_o the_o common_a meeting_n of_o these_o two_o circle_n and_o the_o pole_n be_v also_o show_v by_o the_o same_o common_a meeting_n 3._o they_o show_v the_o four_o principal_a point_n of_o the_o ecliptic_a that_o be_v the_o two_o equinoctial_a and_o the_o two_o solstitial_a point_n 4._o these_o circle_n show_v those_o point_n of_o the_o ecliptic_a wherein_o the_o sun_n be_v either_o equal_o distant_a from_o both_o pole_n of_o the_o sphere_n or_o come_v near_a to_o either_o of_o they_o in_o which_o point_v the_o sun_n make_v the_o day_n long_a or_o short_a or_o of_o a_o mean_a length_n between_o both_o these_o in_o a_o oblique_a sphere_n 5._o they_o divide_v the_o ecliptic_a into_o four_o quarter_n in_o which_o the_o sun_n make_v four_o quarter_n of_o the_o year_n the_o spring_n the_o summer_n autumn_n and_o winter_n 6._o they_o divide_v the_o ecliptic_a and_o equinoctial_a into_o such_o four_o quarter_n as_o in_o a_o right_a sphere_n do_v rise_v together_o in_o equal_a time_n chap._n xi_o use_v of_o the_o equinoctial_a colour_n 1._o the_o section_n of_o this_o circle_n with_o the_o ecliptic_a show_v the_o equinoctial_a point_n wherein_o the_o equinoctial_a and_o the_o ecliptic_a do_v divide_v and_o cross_v each_o other_o in_o which_o point_v the_o sun_n make_v equality_n of_o day_n and_o night_n throughout_o the_o whole_a world_n whereof_o this_o circle_n be_v also_o call_v colurus_n aequinoctiorum_fw-la that_o be_v the_o colour_n of_o equal_a day_n and_o night_n or_o the_o equinoctial_a colour_n 2._o it_o devide_v the_o ecliptic_a into_o the_o north_n and_o south_n half_n 3._o it_o devide_v the_o sign_n wherein_o the_o sun_n make_v the_o day_n long_o than_o the_o night_n from_o those_o sign_n wherein_o the_o day_n be_v make_v short_a than_o the_o night_n 4._o it_o show_v which_o half_n of_o the_o ecliptic_a and_o equator_fw-la do_v arise_v together_o in_o equal_a time_n in_o a_o oblique_a sphere_n 5._o it_o show_v the_o two_o high_a sunne-standing_n in_o a_o right_a sphere_n in_o the_o time_n of_o which_o sunne-standing_n the_o sun_n pass_v by_o the_o zenith_n chap._n xii_o use_v of_o the_o solstitial_a colour_n 1._o the_o common_a meeting_n of_o this_o circle_n with_o the_o ecliptic_a show_v the_o solstitial_a or_o tropical_a point_n in_o which_o point_v the_o sun_n seem_v to_o stand_v and_o then_o return_v back_o again_o for_o which_o cause_n this_o circle_n be_v call_v the_o colour_n of_o the_o sun-standing_n these_o point_n be_v call_v tropical_a which_o be_v as_o much_o to_o say_v as_o turne-point_n or_o point_n of_o return_n because_o that_o when_o the_o sun_n go_v always_o under_o the_o ecliptic_a come_v to_o these_o point_n which_o be_v further_a distant_a from_o the_o equinoctial_a circle_n it_o return_v again_o towards_o the_o same_o circle_n but_o they_o be_v call_v solstitial_a or_o sun-ding_a point_n because_o that_o while_o the_o sun_n be_v about_o those_o
gemini_fw-la and_o that_o eclipse_n which_o shall_v be_v the_o next_o year_n after_o near_a the_o same_o intersection_n the_o 19_o of_o november_n in_o the_o morning_n shall_v be_v about_o the_o 6._o degree_n and_o 40._o minute_n of_o gemini_fw-la etc._n etc._n all_o this_o remove_n of_o the_o eclipse_n backward_o come_v to_o pass_v by_o reason_n of_o the_o motion_n of_o this_o orb_n carry_v the_o dragon_n head_n and_o tail_n contrary_a to_o the_o course_n and_o order_n of_o the_o sign_n this_o orb_n continue_v always_o right_a under_o tail_n and_o even_o with_o the_o orb_n of_o the_o sphere_n of_o the_o sun_n which_o abide_v always_o in_o all_o part_n just_a under_o the_o ecliptic_a line_n and_o have_v his_o centre_n agree_v and_o all_o one_o with_o the_o centre_n of_o the_o world_n and_o of_o the_o ecliptic_n and_o therefore_o the_o pole_n and_o axtree_n about_o which_o this_o orb_n be_v turn_v agree_v just_o with_o the_o axtree_n of_o the_o ecliptic_a the_o rest_n of_o the_o orb_n of_o the_o moon_n orb_n that_o be_v contain_v within_o this_o have_v all_o their_o plain_n agree_v in_o one_o and_o lie_v even_o one_o with_o another_o but_o the_o one_o half_a of_o all_o their_o plain_n arise_v above_o the_o plain_n of_o the_o former_a orb_n and_o of_o the_o ecliptic_a towards_o the_o north_n pole_n of_o the_o zodiac_n and_o the_o other_o half_o descend_v beneath_o the_o plain_n of_o the_o ecliptic_n towards_o the_o south_n pole_n even_o as_o the_o one_o half_a of_o the_o zodiac_n arise_v above_o the_o equinoctial_a circle_n towards_o the_o north_n and_o the_o other_o half_o descend_v towards_o the_o south_n and_o as_o the_o angle_n of_o intersection_n or_o obliquity_n of_o the_o ecliptic_n with_o the_o equinoctial_a circle_n be_v 23._o degr_n and_o a_o half_a or_o little_o more_o so_o the_o angle_n of_o intersection_n or_o obliquity_n of_o the_o plain_n of_o these_o orb_n of_o the_o moon_n from_o the_o plain_a of_o the_o ecliptic_a and_o of_o the_o former_a orb_n carry_v the_o dragon_n head_n and_o tail_n be_v 5._o degree_n or_o according_a to_o tigâ—â—_n brahe_n his_o observation_n 5._o degr_n and_o a_o quarter_n almost_o sometime_o and_o sometime_o less_o than_o 5._o degr_n that_o point_n or_o intersection_n of_o these_o orb_n with_o the_o former_a from_o which_o they_o begin_v to_o arise_v about_o the_o plain_n of_o the_o ecliptic_n towards_o the_o north_n proceed_v east-ward_n be_v call_v the_o dragon_n head_n and_o be_v signify_v by_o this_o character_n ☊_o and_o the_o other_o point_n or_o intersection_n diametral_o opposite_a unto_o this_o be_v call_v the_o dragon_n tail_n which_o be_v also_o signify_v by_o the_o former_a character_n turn_v up_o side_n down_o after_o this_o manner_n ☋_o the_o two_o point_n of_o these_o orb_n that_o be_v further_a distant_a from_o the_o plain_a of_o the_o 〈◊〉_d be_v call_v the_o bound_n or_o limit_n of_o the_o moon_n latitude_n and_o they_o be_v 90._o deg_n from_o the_o dragon_n head_n and_o tail_n and_o 5._o deg_n and_o a_o quarter_n almost_o from_o the_o plain_n of_o the_o ecliptic_a according_a to_o the_o obliquity_n or_o great_a declination_n of_o the_o plain_n of_o these_o orb_n from_o the_o plain_n of_o the_o ecliptic_n of_o these_o two_o point_n that_o which_o be_v in_o the_o north_n side_n of_o the_o ecliptic_n be_v call_v the_o north_n limit_n or_o bind_v of_o the_o moon_n latitude_n and_o contrariwise_o the_o other_o point_n opposite_a to_o this_o on_o the_o south_n side_n of_o the_o ecliptic_a be_v call_v the_o south_n limit_v of_o the_o moon_n latitude_n and_o when_o the_o moon_n come_v to_o either_o of_o these_o two_o point_n she_o have_v her_o great_a latitude_n chap._n x._o of_o the_o orb_n carry_v the_o moon_n apogaeum_n and_o perigaeum_n next_o within_o the_o orb_n carry_v the_o dragon_n head_n and_o tail_n be_v contain_v the_o orb_n call_v deferens_fw-la apogaeum_n lunae_fw-la which_o be_v the_o point_n wherein_o the_o moon_n be_v further_a distant_a from_o the_o earth_n and_o under_o this_o orb_n be_v place_v the_o moon_n eccentrick_a which_o be_v also_o call_v deferens_fw-la epiculum_fw-la lunae_fw-la that_o be_v the_o orb_n carry_v the_o moon_n epicycle_n again_o within_o this_o eccentrick_a of_o the_o moon_n be_v contain_v the_o least_o and_o low_a orb_n of_o all_o that_o be_v in_o this_o sphere_n which_o they_o call_v diferens_n perigaeum_n lunae_fw-la that_o be_v the_o orb_n carry_v the_o moon_n perigaeum_n which_o be_v the_o point_n wherein_o the_o moon_n come_v near_a to_o the_o earth_n the_o uppermost_a and_o nethermost_a of_o these_o three_o orb_n that_o be_v to_o say_v the_o orb_n carry_v the_o moon_n apogaeum_n and_o perigaeum_n both_o which_o orb_n in_o this_o sphere_n be_v colour_v with_o blue_a be_v always_o place_v in_o such_o sort_n that_o the_o narâ—â—west_a part_n of_o the_o one_o be_v continual_o answerable_a to_o the_o broad_a part_n of_o the_o other_o whereby_o it_o come_v to_o pass_v that_o the_o sphere_n of_o the_o moon_n be_v make_v concentricall_a that_o be_v to_o say_v to_o have_v the_o same_o centre_n with_o the_o world_n which_o also_o be_v one_o especial_a use_n why_o these_o orb_n be_v divide_v another_o use_n of_o these_o orb_n be_v to_o show_v the_o reason_n of_o the_o motion_n of_o the_o moon_n apogaeum_n and_o perigaeum_n therefore_o both_o these_o orb_n be_v move_v together_o with_o one_o motion_n equal_o about_o the_o centre_n of_o the_o world_n in_o the_o same_o time_n from_o the_o east_n westward_n in_o the_o space_n of_o 32._o day_n 3._o hour_n and_o 5._o minute_n almost_o so_o move_v in_o one_o day_n 11._o deg_n 12._o min._n and_o 1._o three_o part_n almost_o the_o axtree_n about_o which_o these_o orb_n be_v move_v equal_o pass_v through_o the_o centre_n of_o the_o world_n and_o of_o the_o ecliptic_n but_o the_o pole_n of_o these_o orb_n differ_v from_o the_o pole_n of_o the_o ecliptic_a and_o of_o the_o orb_n carry_v the_o dragon_n head_n and_o tail_n by_o the_o space_n of_o 5._o degr_n and_o a_o quarter_n or_o thereabouts_o which_o pole_n be_v carry_v about_o the_o pole_n of_o the_o orb_n carry_v the_o dragon_n head_n and_o tail_n with_o the_o motion_n of_o the_o same_o orb_n in_o the_o space_n of_o 19_o year_n almost_o whereby_o it_o come_v to_o pass_v that_o the_o pole_n of_o the_o orb_n carry_v the_o apogaeum_n and_o perigaeum_n of_o the_o moon_n describe_v certain_a little_a circle_n about_o the_o pole_n of_o the_o orb_n that_o carry_v the_o dragon_n head_n and_o tail_n even_o as_o the_o arctic_a and_o antarctick_a circle_n in_o the_o ordinary_a sphere_n be_v describe_v by_o the_o motion_n of_o the_o pole_n of_o the_o ecliptic_a carry_v about_o daily_o with_o the_o motion_n of_o the_o first_o and_o high_a movable_a sphere_n in_o the_o space_n of_o 24._o hour_n almost_o chap._n xi_o of_o the_o eccentricke_a of_o the_o moon_n the_o eccentrick_a of_o the_o moon_n contain_v between_o the_o two_o former_a orb_n and_o colour_a with_o a_o sad_a yellow_a colour_n in_o this_o sphere_n be_v move_v equal_o about_o the_o centre_n of_o the_o same_o orb_n from_o the_o west_n towards_o the_o east_n finish_v his_o motion_n under_o the_o zodiac_n in_o the_o space_n of_o 27._o day_n and_o 8._o hour_n almost_o and_o with_o this_o motion_n it_o carry_v about_o the_o moon_n epicycle_n equal_o under_o the_o zodiac_n therefore_o the_o motion_n of_o this_o orb_n about_o his_o own_o centre_n must_v needs_o be_v unequal_a that_o be_v to_o say_v swift_a in_o those_o part_n that_o be_v about_o the_o apogaeum_n and_o slow_a in_o the_o low_a part_n about_o the_o perigaeum_n because_o that_o great_a arch_n of_o the_o eccentrick_a do_v answer_n to_o equal_a arch_n of_o the_o zodiac_n about_o the_o apogaeum_n then_o about_o the_o perigaeum_n of_o the_o eccentrick_a the_o axtree_n about_o which_o this_o orb_n be_v move_v be_v always_o in_o all_o place_n equidistant_a from_o the_o axtree_n of_o the_o orb_n carry_v the_o apogaeum_n of_o the_o moon_n and_o the_o pole_n of_o the_o axtree_n of_o the_o moon_n eccentrick_a be_v fasten_v in_o the_o orb_n carry_v the_o moon_n apogaeum_n equidistant_o from_o the_o pole_n of_o the_o same_o orb_n therefore_o these_o pole_n together_o with_o the_o whole_a axtree_n of_o the_o eccentrick_a be_v carry_v and_o equal_o move_v about_o the_o pole_n and_o axtree_n of_o the_o orb_n carry_v the_o apogaeum_n from_o the_o east_n towards_o the_o west_n with_o this_o motion_n therefore_o the_o pole_n and_o centre_n of_o the_o eccentrick_a describe_v certain_a little_a circle_n of_o equal_a bigness_n about_o the_o pole_n and_o centre_n of_o the_o orb_n carry_v the_o apogaeum_n from_o the_o east_n westward_n and_o therefore_o also_o the_o apogaeum_n of_o the_o eccentrick_a be_v move_v about_o equal_o under_o the_o ecliptic_n contrary_a to_o the_o
be_v the_o arch_n of_o the_o zodiac_n from_o the_o middle_a place_n of_o the_o sun_n eastward_n unto_o the_o middle_a place_n of_o the_o moon_n 8._o and_o this_o arch_n double_v be_v call_v the_o double_a longitude_n of_o the_o moon_n from_o the_o sun_n or_o the_o centre_n of_o the_o moon_n as_o the_o alphonsine_n call_v it_o which_o be_v nothing_o else_o but_o the_o arch_n of_o the_o zodiac_n between_o the_o place_n of_o the_o apogaeum_n of_o the_o eccentrick_a and_o the_o middle_a place_n of_o the_o moon_n it_o be_v call_v the_o double_a longitude_n of_o the_o moon_n from_o the_o sun_n because_o it_o be_v always_o twice_o so_o much_o as_o be_v the_o middle_a longitude_n of_o the_o moon_n from_o the_o sun_n 9_o and_o it_o be_v call_v the_o centre_n of_o the_o moon_n because_o it_o show_v the_o distance_n of_o the_o centre_n of_o the_o moon_n epicycle_n from_o the_o apogaeum_n 10._o the_o equation_n or_o prosthaphaeresis_fw-la of_o the_o centre_n be_v the_o arch_n of_o the_o epicycle_n between_o the_o middle_n and_o true_a apogaeum_n of_o the_o epicycle_n this_o equation_n or_o prosthaphaeresis_fw-la be_v nothing_o at_o all_o when_o the_o centre_n of_o the_o epicycle_n be_v in_o the_o apogaeum_n or_o perigaeum_n of_o the_o eccentrick_a but_o the_o epicycle_n be_v in_o any_o other_o part_n of_o the_o eccentricke_a there_o be_v always_o some_o equation_n of_o the_o centre_n yea_o in_o some_o part_n thereof_o where_o it_o grow_v great_a it_o be_v 13._o degr_n 9_o minute_n and_o so_o long_o as_o the_o centre_n of_o the_o epicycle_n be_v in_o the_o half_a of_o the_o eccentrick_a descend_v from_o the_o apogaeum_n to_o the_o perigaeum_n that_o equation_n be_v to_o be_v add_v to_o the_o motion_n of_o the_o epicycle_n but_o in_o the_o other_o hall_fw-mi of_o the_o eccentricke_a ascend_n it_o must_v be_v subtract_v that_o so_o the_o true_a argument_n 〈…〉_z the_o epicycle_n may_v be_v have_v 11._o the_o argument_n or_o anamalie_n of_o the_o moon_n be_v nothing_o else_o but_o the_o motion_n of_o the_o moon_n epicycle_n 12._o the_o true_a or_o middle_a argument_n 〈…〉_z be_v the_o arch_n of_o the_o epicycle_n from_o the_o true_a or_o middle_a apogaeum_n of_o the_o epicycle_n unto_o the_o centre_n of_o the_o body_n of_o the_o moon_n reckon_v that_o way_n which_o the_o epicycle_n move_v 13._o the_o equation_n of_o the_o argument_n or_o prosthaphaeresis_fw-la of_o the_o epicycle_n be_v the_o arch_n of_o the_o zodiac_n 〈…〉_z the_o middle_n and_o 〈◊〉_d place_n of_o the_o moon_n this_o equation_n be_v 〈◊〉_d when_o the_o moon_n be_v in_o the_o true_a apogaeum_n or_o perigaeum_n of_o her_o epicycle_n but_o it_o be_v great_a when_o the_o centre_n of_o the_o moon_n come_v 〈…〉_z of_o the_o world_n and_o touch_v the_o epicycle_n when_o it_o be_v in_o the_o perigaeum_n of_o the_o eccentrick_a and_o the_o moon_n be_v in_o the_o first_o that_o be_v in_o the_o 〈…〉_z of_o the_o epicycle_n 〈…〉_z from_o the_o true_a apogaeum_n thereof_o the_o middle_a place_n of_o the_o moon_n go_v 〈◊〉_d before_o the_o true_a place_n and_o the_o equation_n of_o the_o argument_n must_v therefore_o be_v subtract_v but_o when_o the_o moon_n be_v 〈…〉_z semicircle_n of_o the_o epicycle_n 〈…〉_z before_o the_o middle_a place_n and_o to_o that_o equation_n must_v be_v add_v to_o the_o moon_n 〈◊〉_d middle_a motion_n that_o the_o true_a motion_n and_o place_n of_o the_o 〈…〉_z may_v be_v find_v chap._n xv._n the_o reason_n of_o the_o variety_n of_o the_o moon_n equation_n etc._n etc._n this_o equation_n become_v lesser_a or_o great_a according_a as_o the_o epicycle_n 〈…〉_z or_o near_o to_o the_o centre_n of_o the_o world_n the_o least_o equation_n be_v when_o the_o epicycle_n be_v in_o the_o apogaeum_n of_o the_o eccentrick_a and_o contrariwise_o the_o great_a must_v happen_v the_o epicycle_n be_v in_o the_o perigaeum_n of_o the_o eccentrick_a the_o difference_n between_o these_o great_a and_o least_o equation_n ptolemee_n and_o copernicus_n call_v the_o excess_n but_o 〈◊〉_d and_o the_o alphonsine_n call_v it_o the_o diversity_n of_o the_o diameter_n because_o that_o difference_n of_o the_o equation_n arise_v by_o reason_n of_o the_o diverse_a apparent_a highness_n of_o the_o diameter_n of_o the_o epicycle_n according_a as_o it_o be_v near_o to_o we_o or_o further_o from_o us._n therefore_o in_o the_o astronomical_a table_n they_o use_v to_o set_v down_o those_o equation_n only_o which_o happen_v when_o the_o epicycle_n be_v in_o the_o apogaeum_n of_o the_o eccentrick_a which_o be_v the_o least_o equation_n whereto_o they_o also_o adjoine_v the_o excess_n or_o diversity_n of_o diameter_n show_v how_o much_o those_o equation_n which_o happen_v when_o the_o epicycle_n be_v in_o the_o perigaeum_n of_o the_o eccentrick_a exceed_v those_o which_o happen_v the_o epicycle_n be_v in_o the_o apogaeum_n of_o the_o eccentrick_a moreover_o there_o be_v annex_v certain_a min._n which_o they_o call_v scrupula_fw-la or_o minuta_fw-la proportionâ—alia_fw-la that_o be_v 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the_o true_a equation_n chap._n xvi_o the_o reason_n 〈◊〉_d moon_n proportional_a minute_n etc._n etc._n the_o reason_n of_o those_o proportional_a minute_n may_v in_o some_o sort_n be_v show_v by_o those_o concentricall_a arch_n of_o circle_n which_o you_o see_v draw_v upon_o the_o moon_n eccentrical_a orb_n in_o this_o sphere_n but_o indeed_o all_o those_o arch_n must_v be_v understand_v to_o have_v always_o the_o same_o centre_n with_o the_o world_n and_o not_o to_o be_v move_v about_o together_o with_o the_o eccentrick_a the_o uppermost_a of_o they_o be_v to_o be_v draw_v by_o the_o centre_n of_o the_o epicycle_n be_v in_o the_o apogaeum_n of_o the_o eccentrick_a and_o the_o nethermost_a be_v draw_v by_o the_o same_o centre_n when_o it_o be_v in_o the_o perigaeum_n of_o the_o eccentrick_a so_o as_o the_o distance_n of_o these_o two_o arch_n or_o peripherye_n be_v just_a twice_o so_o much_o as_o the_o eccentricitie_n that_o be_v the_o distance_n of_o the_o centre_n of_o the_o 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