centre_n than_o the_o centre_n of_o the_o earth_n and_o therefore_o that_o the_o circle_n or_o orb_n wherein_o the_o sun_n be_v move_v be_v a_o eccentricke_a chap._n vii_o of_o the_o use_n of_o the_o sun_n eccentrical_a orb_n therefore_o the_o use_n of_o the_o sun_n eccentricke_a may_v be_v these_o 1._o first_o to_o show_v the_o reason_n of_o the_o apparent_a inequality_n which_o seem_v to_o be_v in_o the_o motion_n of_o the_o sun_n for_o although_o the_o sun_n moâ—e_n equal_o in_o his_o own_o obbe_n and_o about_o his_o own_o centre_n yet_o to_o they_o that_o be_v at_o the_o centre_n of_o the_o world_n or_o upon_o the_o earth_n he_o shall_v seem_v to_o move_v unequal_o that_o be_v swift_o when_o he_o be_v in_o that_o part_n of_o his_o eccentricke_a which_o be_v near_a unto_o the_o earth_n and_o slow_o when_o he_o be_v far_o from_o the_o earth_n and_o therefore_o in_o summer_n when_o the_o sun_n be_v about_o his_o apogaeum_n and_o in_o his_o great_a distance_n from_o the_o earth_n he_o 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of_o the_o inequality_n of_o the_o eclipse_n both_o of_o the_o sun_n and_o moon_n chap._n viii_o the_o definition_n of_o certain_a astronomical_a word_n of_o art_n for_o the_o better_a understanding_n of_o the_o theoric_n of_o the_o sun_n 1._o what_o the_o aux_fw-fr or_o apogaeum_n of_o the_o sun_n be_v it_o have_v be_v partly_o show_v already_o that_o â—â—mely_o it_o be_v that_o part_n or_o rather_o point_n of_o the_o orb_n carry_v the_o sun_n apogaeum_n wherein_o the_o say_a orb_n be_v thin_a or_o narrow_a or_o it_o be_v that_o point_n of_o the_o eccentrick_a which_o be_v further_a distant_a from_o the_o earth_n and_o be_v always_o show_v by_o a_o right_a line_n understand_v to_o be_v draw_v from_o the_o centre_n of_o the_o world_n by_o the_o centre_n of_o the_o eccentrick_a unto_o the_o orb_n carry_v the_o sun_n apogaeum_n which_o line_n be_v therefore_o call_v the_o line_n of_o the_o sun_n his_o aux_fw-fr or_o the_o line_n of_o the_o sun_n apogaeum_n 2._o the_o motion_n of_o the_o aux_fw-fr or_o of_o the_o apogaeum_n of_o the_o sun_n which_o be_v also_o call_v the_o sun_n aux_fw-fr in_o the_o second_o signification_n be_v nothing_o else_o but_o the_o arch_n of_o the_o ecliptic_a contain_v between_o the_o beginning_n of_o aries_n and_o the_o line_n of_o the_o sun_n apogaeum_n draw_v forth_o to_o the_o zodiac_n where_o this_o line_n also_o show_v the_o place_n of_o the_o sun_n apogaeum_n 3._o the_o middle_a or_o mean_a place_n of_o the_o sun_n in_o the_o zodiac_n be_v show_v by_o a_o line_n draw_v from_o the_o centre_n of_o the_o world_n unto_o the_o zodiac_n equidistant_a from_o the_o centre_n of_o the_o eccentricke_a and_o of_o the_o sun_n 4._o this_o line_n be_v therefore_o call_v the_o line_n of_o the_o mean_a or_o middle_a place_n of_o the_o sun_n 5._o the_o middle_a or_o mean_a motion_n of_o the_o sun_n be_v the_o arch_n of_o the_o ecliptic_n between_o the_o beginning_n of_o aries_n and_o the_o middle_a place_n of_o the_o sun_n 6._o the_o true_a place_n of_o the_o sun_n be_v show_v by_o a_o straight_a line_n draw_v from_o the_o centre_n of_o the_o earth_n by_o the_o centre_n of_o the_o sun_n unto_o the_o zodiac_n which_o line_n be_v therefore_o call_v the_o line_n of_o the_o true_a place_n of_o the_o sun_n 7._o the_o true_a motion_n of_o the_o sun_n be_v the_o arch_n of_o the_o ecliptic_n from_o the_o begin_n of_o aries_n unto_o the_o true_a place_n of_o the_o sun_n 8._o the_o argument_n of_o the_o sun_n at_o the_o 〈◊〉_d â—erme_v it_o or_o the_o motion_n of_o the_o sun_n anomaly_n as_o copernicus_n call_v it_o be_v the_o arch_n of_o the_o ecliptic_n contain_v between_o the_o place_n of_o the_o sun_n apogaeum_n and_o the_o middle_a place_n of_o the_o sun_n according_a to_o the_o order_n and_o succession_n of_o the_o sign_n this_o arch_n be_v call_v the_o argument_n or_o motion_n of_o the_o sun_n anomaly_n or_o irregularity_n because_o that_o by_o it_o be_v always_o find_v how_o much_o the_o sun_n true_a motion_n which_o be_v unequal_a and_o irregular_a differ_v from_o his_o middle_a motion_n which_o difference_n they_o call_v the_o sun_n equation_n or_o prosthapheresis_fw-la 9_o the_o equation_n or_o prosthapheresis_fw-la of_o the_o sun_n be_v nothing_o else_o but_o the_o arch_n of_o the_o ecliptic_n contain_v between_o the_o true_a and_o middle_a place_n of_o the_o sun_n this_o arch_n be_v call_v the_o sun_n equation_n because_o it_o make_v the_o sun_n middle_a motion_n equal_a to_o his_o true_a motion_n be_v add_v to_o it_o or_o subtract_v from_o it_o as_o occasion_n require_v for_o which_o cause_n it_o be_v more_o significant_o and_o fit_o call_v prosthaphaeresis_fw-la that_o be_v as_o much_o to_o say_v as_o that_o which_o be_v to_o be_v add_v to_o or_o subtract_v from_o the_o middle_a motion_n that_o so_o we_o may_v have_v the_o true_a motion_n for_o so_o long_o as_o the_o sun_n be_v in_o the_o semicircle_n of_o his_o eccentrick_a descend_v from_o his_o apogaeum_n to_o his_o â—â—â—gaeum_n so_o long_o this_o prosthapheresis_fw-la be_v to_o be_v subtract_v from_o the_o middle_a motion_n but_o the_o sun_n be_v in_o the_o other_o half_n of_o his_o eccentrick_a ascend_n the_o prosthapheresis_fw-la or_o equation_n of_o the_o sun_n must_v be_v add_v to_o the_o middle_a motion_n that_o 〈…〉_z motion_n and_o place_n of_o the_o sun_n may_v be_v find_v because_o that_o in_o the_o first_o semicircle_n of_o the_o eccentricke_a descend_v the_o middle_a place_n of_o the_o sun_n go_v before_o the_o 〈◊〉_d and_o the_o middle_a motion_n be_v 〈…〉_z great_a 〈…〉_z the_o sun_n and_o therefore_o the_o difference_n of_o these_o 〈◊〉_d motion_n that_o be_v to_o say_v the_o 〈◊〉_d or_o prosthaphaeresis_fw-la must_v be_v subtract_v to_o find_v 〈…〉_z for_o the_o true_a place_n of_o the_o sun_n go_v always_o 〈…〉_z motion_n and_o place_n of_o the_o same_o chap._n ix_o of_o the_o uppermost_a orb_n of_o the_o sphere_n of_o the_o moon_n carry_v the_o dragon_n head_n and_o tail_n next_o within_o the_o orb_n of_o the_o sun_n 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that_o the_o eclipse_n or_o rather_o the_o place_n wherein_o the_o eclipse_n of_o the_o sun_n or_o moon_n do_v happen_v in_o the_o heaven_n be_v remove_v continual_o more_o backward_o in_o the_o zodiac_n contrary_a to_o the_o order_n and_o succession_n of_o the_o sign_n as_o for_o example_n the_o eclipse_n of_o the_o moon_n happen_v this_o present_a year_n 1600._o the_o 20._o of_o januarie_n near_o unto_o the_o dragon_n tail_n about_o the_o 9_o degree_n and_o 40._o min._n of_o leo_n the_o next_o eclipse_n that_o shall_v happen_v near_o the_o same_o intersection_n of_o the_o dragon_n tail_n in_o the_o year_n 1601._o the_o 29._o of_o november_n shall_v be_v in_o 17._o degree_n and_o a_o half_a of_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 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minute_n neither_o yet_o upon_o whole_a minute_n in_o the_o place_n of_o the_o sun_n apogaeum_n which_o can_v be_v by_o any_o art_n so_o exact_o find_v but_o that_o the_o diligent_a man_n that_o be_v may_v err_v many_o minute_n therein_o take_v for_o example_n the_o year_n of_o our_o lord_n 1558._o in_o which_o our_o gracious_a q._n elizabeth_n begin_v her_o happy_a reign_n which_o be_v now_o 42._o year_n since_o take_v therefore_o for_o every_o 4._o year_n 5._o minute_n that_o be_v for_o 40._o year_n 50._o minute_n and_o for_o the_o two_o year_n remain_v 2._o minute_n and_o one_o half_a that_o be_v in_o all_o 52._o minute_n and_o a_o half_a and_o subtract_v the_o same_o out_o of_o 7_o deg_n of_o cancer_n there_o shall_v remain_v the_o place_n of_o the_o sun_n apogaeum_n at_o the_o begin_n of_o her_o majesty_n reign_n in_o 6._o degr_n and_o about_o 8._o min._n of_o cancer_n the_o use_n of_o these_o two_o orb_n be_v these_o 1._o first_o to_o make_v the_o sphere_n of_o the_o sun_n 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