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in_o the_o depth_n of_o the_o eccentric_a in_o which_o the_o planet_n be_v fix_v and_o near_o to_o his_o centre_n be_v move_v circulerlie_o the_o auge_n be_v a_o point_n in_o the_o circumference_n of_o the_o eccentric_a near_o unto_o the_o firmament_n or_o it_o may_v be_v say_v that_o the_o auge_n be_v a_o point_n far_a distant_a from_o the_o earth_n aux_fw-fr in_o the_o greek_a tongue_n be_v as_o much_o to_o say_v as_o the_o great_a longitude_n or_o great_a elevation_n from_o the_o earth_n the_o opposite_a of_o the_o auge_n be_v a_o other_o point_n in_o the_o circumference_n of_o the_o eccentric_a near_o unto_o the_o earth_n and_o far_a distant_a from_o the_o firmament_n and_o you_o must_v here_o note_v and_o understand_v the_o sun_n be_v not_o move_v regular_o in_o the_o zodiac_n make_v so_o much_o by_o his_o proper_a motion_n in_o one_o day_n as_o in_o the_o other_o because_o his_o regular_a motion_n be_v in_o respect_n of_o the_o centre_n of_o his_o own_o proper_a sphere_n or_o 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sphere_n and_o have_v their_o proper_a motion_n from_o west_n towards_o east_n the_o moon_n with_o her_o heaven_n or_o sphere_n by_o her_o proper_a motion_n give_v her_o turn_n from_o the_o west_n to_o the_o east_n in_o 27._o day_n and_o 7._o hour_n with_o 45._o minute_n venus_n mercury_n and_o the_o sun_n in_o a_o year_n which_o be_v the_o space_n of_o 365._o day_n with_o 5._o hour_n and_o 49._o minute_n mars_n in_o two_o year_n jupiter_n in_o 12._o year_n saturn_n in_o 30._o year_n the_o eight_o heaven_n which_o be_v the_o firmament_n or_o starry_a heaven_n by_o his_o own_o proper_a motion_n be_v move_v by_o the_o nine_o heaven_n upon_o the_o begin_n of_o aries_n and_o libra_n and_o upon_o these_o two_o point_n accomplish_v his_o revolution_n in_o seven_o thousand_o year_n this_o motion_n be_v call_v motus_fw-la trepedationis_fw-la that_o be_v to_o say_v the_o tremble_a motion_n of_o access_n or_o recess_n to_o rectify_v the_o 6._o planet_n to_o go_v in_o their_o due_a course_n 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degree_n of_o the_o sign_n he_o occupy_v the_o same_o day_n at_o noon_n &_o observe_v his_o sphere_n in_o the_o same_o order_n mars_n the_o like_a the_o sun_n i_o have_v show_v you_o the_o order_n before_o then_o venus_n follow_v and_o mercury_n to_o be_v order_v and_o set_v each_o of_o they_o in_o their_o several_a sphere_n then_o shall_v appear_v every_o one_o of_o they_o in_o their_o several_a course_n every_o moment_n of_o the_o day_n as_o by_o the_o example_n of_o saturn_n before_o be_v show_v now_o to_o the_o sphere_n of_o the_o moon_n who_o motion_n in_o her_o sphere_n be_v near_a to_o the_o earth_n the_o observation_n of_o she_o follow_v the_o moon_n swift_a in_o course_n than_o any_o of_o the_o other_o planet_n make_v her_o revolution_n through_o the_o twelve_o sign_n twelve_o time_n in_o a_o year_n often_o than_o the_o sun_n and_o she_o be_v to_o be_v place_v in_o like_o wise_a according_a to_o the_o former_a rule_n in_o the_o sign_n she_o be_v in_o at_o noon_n that_o day_n and_o hour_n which_o you_o will_v observe_v the_o globe_n or_o sphere_n for_o and_o for_o every_o hour_n after_o add_v to_o her_o 30._o minute_n and_o without_o any_o great_a error_n she_o note_v unto_o you_o her_o rise_n and_o set_v the_o hour_n and_o place_n of_o the_o heaven_n every_o day_n and_o hour_n where_o she_o be_v the_o change_n quarter_n and_o full_a moon_n the_o ebb_n and_o flood_n every_o hour_n throughout_o all_o the_o whole_a day_n and_o month_n and_o so_o consequent_o throughout_o the_o whole_a year_n without_o any_o great_a error_n also_o the_o deprive_v of_o her_o light_n by_o the_o earth_n in_o time_n of_o her_o eclipse_n to_o find_v out_o by_o the_o instrument_n in_o the_o dial_n the_o age_n of_o the_o moon_n with_o her_o change_n quarter_n and_o full_a her_o aspect_n with_o the_o sun_n the_o ebb_n &_o flood_n and_o other_o necessary_a rule_n appertain_v to_o the_o art_n of_o navigation_n etc._n etc._n mark_v at_o the_o conjunction_n of_o the_o sun_n and_o moon_n it_o be_v say_v the_o change_n of_o the_o moon_n be_v when_o the_o sun_n and_o she_o meet_v together_o and_o then_o the_o moon_n take_v her_o light_n of_o the_o sun_n and_o when_o she_o be_v run_v in_o her_o course_n 24._o hour_n after_o the_o change_n it_o be_v say_v that_o she_o be_v a_o day_n old_a then_o turn_v the_o index_n of_o the_o moon_n to_o the_o figure_n of_o 1._o and_o when_o she_o be_v two_o day_n old_a turn_v the_o index_n of_o the_o moon_n to_o the_o figure_n of_o 2._o and_o so_o proceed_v till_o she_o come_v to_o the_o figure_n of_o 7._o and_o then_o it_o be_v say_v to_o be_v in_o the_o first_o quarter_n of_o the_o moon_n then_o at_o the_o figure_n of_o 15._o she_o be_v in_o opposition_n with_o the_o sun_n than_o it_o be_v say_v to_o be_v a_o full_a moon_n then_o she_o gather_v every_o day_n in_o her_o decrease_n towards_o the_o sun_n and_o when_o she_o be_v 7._o day_n past_o the_o full_a than_o she_o have_v lose_v half_a her_o roundness_n of_o her_o light_n and_o be_v say_v to_o be_v last_o quarter_n and_o so_o gather_v every_o day_n near_o and_o near_o the_o sun_n till_o she_o be_v depryve_v quite_o from_o her_o light_n and_o then_o it_o be_v say_v to_o be_v at_o change_n again_o and_o a_o new_a moon_n and_o after_o her_o change_n than_o her_o light_n begin_v to_o increase_v again_o every_o 24._o hour_n 48._o minute_n which_o yield_v in_o 15._o day_n 12_o hour_n and_o so_o much_o she_o be_v just_a of_o the_o sun_n at_o the_o time_n of_o the_o full_a moon_n and_o if_o you_o will_v mark_v the_o distance_n betwixt_o the_o index_n of_o the_o sun_n which_o point_v the_o
f_o 24_o l._n f._n p_o 25_o l._n m_o 26_o l._n m_o 27_o l._n m._n p_o 28_o l._n m_o 29_o l._n m_o 30_o l._n m._n p_o capricor_n degree_n 1_o t._n m_o 2_o t._n m._n p_o 3_o t._n m_o 4_o t._n m_o 5_o t._n m_o 6_o t._n m_o 7_o t._n m_o 8_o l._n m_o 9_o l._n m_o 10_o l_o m_o 11_o fu_o m._n 12_o fu_o f._n for_o 13_o fu_o f._n for_o 14_o fu_o f._n for_o 15_o fu_o f_o 16_o l._n f_o 17_o l._n f._n p_o 18_o l._n f_o 19_o l._n f_o 20_o t._n m._n for_o 21_o t._n m_o 22_o t._n m._n p_o 23_o v._n m_o 24_o v._n m._n p_o 25_o v._n m_o 26_o t._n m._n a_o 27_o to_o m._n a_o 28_o t._n m._n a_o p_o 29_o t._n m._n aâ—_n 30_o t._n m_o aquary_n degree_n 1_o fu_o m._n p_o 2_o fu_o m_o 3_o fu_o m_o 4_o fu_o m_o 5_o l._n m_o 6_o l._n f_o 7_o l._n f._n for_o 8_o l._n f_o 9_o l._n f_o 10_o t._n f_o 11_o t._n f_o 12_o t._n f._n p_o 13_o t._n f_o 14_o l._n f_o 15_o l._n f_o 16_o l_o m._n for_o 17_o l._n m._n for_o 18_o l._n m._n a_o 19_o l._n m._n a_o 20_o l._n m._n for_o 21_o l._n m_o 22_o l._n f._n p._n five_o 23_o v._n f_o 24_o v._n f._n p_o 25_o v._n f_o 26_o l._n m_o 27_o l._n m_o 28_o l._n f_o 29_o l._n f._n p_o 30_o l._n f_o pisces_fw-la degree_n 1_o t._n m_o 2_o t._n m_o 3_o t._n m_o 4_o t._n m._n p_o 5_o t._n m_o 6_o t._n m_o 7_o l._n m_o 8_o l._n m_o 9_o l._n m._n p_o 10_o l._n m_o 11_o l._n f_o 12_o l._n f_o 13_o t._n f._n for_o 14_o t._n f_o 15_o t._n f_o 16_o t._n f._n 17_o t._n f_o 18_o t._n f_o 19_o l._n f_o 20_o l._n f._n for_o 21_o l._n m_o 22_o l._n m_o 23_o v._n m_o 24_o v._n f._n p._n 25_o v._n f_o 26_o l._n f_o 27_o l._n f._n for_o p_o 28_o l._n f._n p_o 29_o t._n m._n 30._o t._n m._n to_o know_v the_o place_n of_o the_o sun_n by_o the_o rule_n of_o memory_n and_o to_o know_v in_o what_o degree_n the_o sun_n be_v without_o respect_n of_o minute_n bear_v in_o memory_n these_o number_n that_o hereafter_o follow_v 11._o 10._o 11._o 10._o 11._o 12._o 13._o 14._o 13._o 14._o 12._o 12._o the_o first_o 10._o stand_v for_o january_n the_o second_o for_o february_n with_o their_o sign_n &_o so_o the_o rest_n and_o to_o know_v in_o what_o degree_n the_o sun_n be_v you_o shall_v take_v away_o the_o day_n that_o be_v apply_v to_o every_o month_n according_a to_o the_o say_a number_n of_o the_o day_n for_o the_o which_o you_o desire_v to_o know_v the_o place_n of_o the_o sun_n and_o in_o they_o that_o remain_v in_o so_o many_o degree_n be_v the_o sun_n of_o the_o sign_n into_o which_o it_o enter_v that_o month_n and_o if_o the_o day_n pass_v of_o the_o month_n shall_v be_v less_o than_o the_o day_n apply_v to_o the_o same_o month_n you_o shall_v join_v 30._o with_o those_o day_n pass_v of_o the_o month_n &_o of_o the_o sun_n that_o amount_v you_o shall_v take_v away_o the_o day_n apply_v to_o the_o say_a month_n and_o the_o rest_n shall_v be_v the_o degree_n in_o the_o which_o the_o sun_n shall_v be_v of_o the_o sign_n of_o the_o month_n past_a as_o for_o example_n month_n degree_n sign_n ja._n 11._o aquarius_n fe._n 10._o pisces_fw-la ma._n 11._o aries_n ap._n 10._o taurus_n mai._n 11._o gemini_fw-la june_n 12._o cancer_n july_n 13._o leo_fw-la au._n 14._o virgo_fw-la sep._n 13._o libra_n octob._n 14._o scorpio_n no._n 12._o sagitarius_n de._n 12._o capricornus_fw-la the_o 12_o day_n of_o october_n take_v away_o 14_o that_o be_v apply_v remain_v 28._o degree_n of_o scorpio_n where_o the_o sun_n be_v another_o example_n the_o sixth_o of_o december_n which_o be_v lesser_a than_o 12._o which_o be_v apply_v unto_o it_o if_o we_o join_v 6._o to_o 30._o which_o be_v the_o day_n of_o the_o month_n next_o afore_o they_o make_v 36._o and_o from_o they_o we_o take_v away_o the_o 12._o &_o there_o rest_v 24._o degree_n be_v the_o sun_n of_o the_o month_n before_o which_o be_v sagitarius_n a_o rule_n to_o know_v when_o the_o sun_n enter_v into_o every_o of_o the_o 12._o sign_n and_o that_o we_o may_v in_o the_o year_n to_o come_v know_v the_o day_n hour_n and_o minute_n in_o the_o which_o the_o sun_n enter_v into_o every_o sign_n we_o will_v follow_v this_o order_n upon_o the_o day_n hour_n &_o minute_n that_o the_o sun_n enter_v into_o every_o sign_n the_o year_n 1545._o we_o must_v add_v for_o every_o year_n 5._o hour_n and_o 49._o minute_n which_o with_o the_o 365._o day_n which_o every_o year_n contain_v shall_v be_v the_o time_n in_o the_o which_o the_o sun_n accomplish_v his_o revolution_n and_o because_o that_o in_o the_o year_n of_o the_o bebysextile_a or_o leapyere_n be_v add_v to_o february_n 1._o day_n more_o to_o his_o 28_o which_o we_o have_v once_o in_o 4._o year_n from_o 6._o to_o 6._o hour_n if_o we_o shall_v take_v from_o the_o computation_n that_o we_o have_v give_v turn_v one_o day_n backward_o as_o shall_v be_v in_o the_o year_n 1548._o and_o upon_o that_o remain_v shall_v return_v in_o the_o year_n follow_v of_o 1549_o to_o add_v 5_o hour_n 49._o minute_n and_o as_o much_o more_o every_o other_o year_n follow_v shall_v be_v a_o certain_a rule_n for_o ever_o and_o it_o be_v to_o be_v note_v that_o the_o degree_n and_o minute_n which_o we_o have_v touch_v before_o be_v proper_o for_o the_o city_n of_o cadiz_n and_o if_o we_o desire_v to_o apply_v they_o for_o other_o city_n or_o place_n more_o eastward_o they_o for_o every_o 15_o degree_n that_o they_o be_v distant_a from_o cadiz_n in_o longitude_n we_o must_v add_v one_o hour_n and_o if_o for_o the_o city_n or_o place_n more_o westward_a in_o like_a manner_n for_o every_o 15._o degree_n we_o must_v take_v away_o one_o hour_n by_o reason_n of_o the_o course_n of_o the_o sun_n by_o his_o rapte_v move_v from_o the_o east_n to_o the_o west_n for_o it_o be_v certain_a that_o when_o with_o we_o in_o cadiz_n it_o be_v 12._o hour_n of_o the_o clock_n to_o they_o that_o be_v 15._o degree_n eastward_o from_o we_o it_o be_v one_o of_o the_o clock_n and_o to_o they_o that_o be_v from_o we_o 15._o degree_n towards_o the_o west_n it_o be_v 11._o of_o the_o clock_n and_o thus_o may_v you_o apply_v it_o to_o every_o several_a longitude_n east_n or_o west_n gyve_v to_o every_o 15._o mile_n one_o minute_n of_o time_n according_a to_o the_o other_o rule_n in_o arithmetic_n specify_v finis_fw-la at_o london_n print_v by_o john_n charlwood_n
as_o low_o as_o we_o can_v see_v he_o also_o it_o devide_v the_o whole_a sphere_n of_o the_o world_n into_o two_o equal_a part_n in_o such_o sort_n that_o half_a of_o the_o sphere_n be_v ever_o above_o the_o ground_n and_o half_a always_o under_o the_o earth_n this_o circle_n have_v great_a use_n in_o the_o heavenly_a motion_n that_o by_o it_o we_o judge_v the_o rising_n &_o setting_n of_o the_o sun_n and_o moon_n and_o all_o other_o star_n and_o in_o this_o horizonte_n you_o shall_v find_v note_v the_o name_n of_o the_o wind_n which_o the_o mariner_n use_v by_o the_o 32._o point_n of_o the_o compass_n the_o next_o circle_n be_v note_v the_o degree_n which_o every_o day_n in_o the_o month_n do_v contayn_v that_o be_v to_o say_v the_o first_o day_n one_o degree_n the_o second_o day_n two_o degree_n and_o so_o forth_o as_o they_o succeed_v in_o order_n to_o a_o point_n like_o a_o little_a star_n where_o the_o last_o day_n of_o every_o month_n end_v the_o next_o circle_n show_v what_o day_n of_o the_o month_n the_o sun_n enter_v into_o any_o of_o the_o twelve_o sign_n tell_v every_o day_n one_o degree_n to_o thirty_o degree_n &_o so_o they_o succeed_v through_o ever_o one_o of_o the_o twelve_o sign_n monethlie_a this_o horizonte_n be_v divide_v into_o four_o quarter_n east_n west_n south_n and_o north_n every_o quarter_n of_o the_o world_n contain_v 90._o degree_n and_o the_o whole_a compass_n thereof_o be_v 360._o degree_n the_o next_o circle_n be_v motus_fw-la trepedationis_fw-la a_o starry_a firmament_n who_o motion_n be_v slow_a from_o the_o west_n to_o the_o east_n that_o every_o hundred_o year_n by_o the_o observation_n of_o diverse_a astronomer_n move_v but_o one_o degree_n the_o zodiac_n be_v a_o great_a broad_a and_o slope_n or_o shore_v circle_n in_o the_o which_o be_v depicture_v the_o twelve_o sign_n and_o fix_a star_n in_o the_o midst_n whereof_o be_v the_o ecliptic_a line_n from_o which_o the_o sun_n never_o swerve_v then_o follow_v the_o two_o colluer_v and_o the_o equinoctial_a circle_n part_v the_o sphere_n in_o the_o very_a midst_n betwixt_o the_o two_o pole_n by_o reason_n whereof_o there_o be_v two_o latitude_n the_o one_o be_v north_n and_o the_o other_o south_n the_o north_n latitude_n be_v contain_v betwixt_o the_o equinoctial_a and_o the_o north_n pole_n the_o south_n latitude_n be_v betwixt_o the_o equinoctial_a and_o the_o south_n pole_n either_o of_o these_o two_o space_n contain_v in_o breadth_n 90._o degree_n a_o degree_n be_v one_o part_n of_o a_o circle_n be_v divide_v into_o 360._o part_n and_o 360._o degree_n be_v the_o very_a longitude_n of_o the_o earth_n and_o at_o the_o further_a meridian_n in_o the_o west_n begin_v with_o one_o degree_n and_o so_o proceed_v eastward_o unto_o 180._o degree_n of_o the_o equinoctial_a &_o from_o thence_o go_v forward_o to_o the_o west_n where_o you_o come_v again_o to_o 360._o degree_n which_o be_v the_o last_o degree_n of_o longitude_n next_o follow_v the_o two_o tropical_a circle_n that_o be_v to_o say_v the_o north_n tropic_n be_v cancer_n and_o be_v the_o return_n of_o the_o the_o sun_n in_o summer_n decline_v back_o again_o towards_o the_o equinoctial_a the_o day_n be_v then_o at_o the_o long_a and_o the_o night_n at_o the_o short_a with_o we_o and_o then_o begin_v the_o day_n to_o shorten_v again_o the_o winter_n tropic_n say_v proclus_n be_v the_o most_o southerly_a circle_n of_o all_o they_o that_o the_o sun_n do_v describe_v by_o the_o revolution_n of_o the_o world_n in_o the_o which_o when_o the_o sun_n be_v he_o make_v his_o winterlie_fw-mi turn_n and_o then_o be_v the_o long_a night_n in_o all_o the_o year_n and_o short_a day_n with_o us._n parallel_n the_o parallel_n line_n be_v describe_v by_o the_o wire_n in_o the_o globe_n and_o a_o parallel_n of_o the_o long_a day_n be_v a_o space_n of_o the_o earth_n by_o this_o be_v know_v the_o increase_n of_o the_o day_n to_o be_v a_o quarter_n of_o a_o hour_n go_v from_o the_o equinoctial_a towards_o any_o of_o the_o pole_n star_n a_o climate_n contain_v two_o parallel_n in_o which_o space_n the_o day_n increase_v by_o half_a a_o hour_n of_o these_o parallel_n be_v make_v 24._o climate_n between_o the_o equinoctial_a and_o the_o tropic_n of_o cancer_n then_o follow_v the_o arctic_a circle_n and_o the_o antarctic_a circle_n the_o arctic_a circle_n be_v the_o north_n circle_n and_o the_o contrary_a circle_n in_o the_o south_n be_v call_v the_o antarctic_a circle_n by_o the_o which_o greeke_n composition_n as_o you_o will_v say_v contrary_a or_o against_o the_o arctic_a circle_n &_o it_o well_o may_v be_v call_v the_o south_n circle_n but_o now_o here_o how_o proclus_n define_v they_o the_o arctic_a circle_n be_v the_o great_a of_o all_o those_o circle_n which_o do_v always_o appear_v and_o touch_v the_o horizonte_n in_o one_o only_a point_n and_o be_v altogether_o above_o the_o earth_n and_o all_o the_o star_n that_o be_v within_o this_o circle_n neither_o rise_v nor_o set_v but_o be_v see_v to_o run_v round_o about_o the_o pole_n all_o the_o night_n the_o antarctic_a circle_n be_v equal_a &_o equidistant_a to_o the_o arctic_a circle_n &_o touch_v the_o horizonte_n in_o one_o only_a point_n '_o and_o be_v all_o under_o the_o ground_n &_o all_o the_o star_n that_o be_v in_o it_o be_v evermore_o out_o of_o our_o sight_n then_o be_v there_o two_o other_o small_a circle_n call_v poller_n circle_n or_o pole_n circle_n in_o this_o circle_n about_o the_o antarctic_a pole_n be_v divide_v certain_a degree_n to_o take_v the_o altitude_n of_o the_o north_n star_n this_o star_n be_v in_o the_o extremity_n or_o end_n of_o the_o tail_n of_o the_o less_o bear_n be_v a_o constellation_n common_o call_v the_o horn_n for_o this_o north_n star_n of_o the_o most_o notable_a star_n above_o the_o pole_n be_v near_a unto_o it_o &_o shall_v therefore_o show_v a_o less_o circle_n than_o any_o other_o and_o so_o shall_v his_o altitude_n differ_v little_a from_o the_o 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his_o be_v over_o the_o pole_n and_o the_o less_o altitude_n which_o be_v his_o be_v under_o the_o pole_n then_o take_v away_o the_o less_o from_o the_o more_o and_o the_o half_a of_o that_o remain_v shall_v be_v the_o distance_n of_o that_o star_n from_o the_o pole_n of_o the_o world_n and_o likewise_o by_o this_o experience_n may_v be_v know_v the_o altitude_n of_o the_o pole_n and_o what_o all_o the_o other_o star_n that_o go_v not_o down_o under_o the_o horizonte_n be_v distant_a from_o it_o join_v the_o great_a altitude_n with_o the_o less_o and_o that_o shall_v amount_v thereof_o divide_v by_o the_o half_a shall_v be_v the_o altitude_n of_o the_o pole_n and_o take_v away_o this_o altitude_n of_o the_o pole_n from_o the_o great_a altitude_n of_o the_o star_n or_o the_o less_o from_o the_o altitude_n of_o the_o pole_n the_o rest_n that_o remain_v shall_v be_v the_o distance_n of_o the_o star_n from_o the_o pole_n and_o as_o the_o pole_n be_v invisible_a it_o can_v not_o be_v see_v or_o know_v when_o the_o north_n star_n be_v high_a &_o low_o except_o it_o be_v by_o the_o mean_a of_o some_o other_o mark_n and_o for_o this_o be_v consider_v the_o position_n of_o the_o former_a guard_n or_o watch_n be_v one_o of_o the_o two_o star_n call_v the_o guard_n which_o be_v in_o the_o mouth_n of_o the_o horn_n the_o mariner_n have_v note_v eight_o position_n from_o the_o former_a guard_n star_n to_o the_o north_n star_n which_o answer_v to_o the_o eight_o principal_a wind_n and_o as_o the_o guard_n be_v to_o the_o north_n star_n according_a to_o the_o place_n of_o these_o position_n so_o it_o shall_v be_v high_o and_o low_a from_o the_o pole_n let_v we_o here_o put_v the_o common_a rule_n which_o the_o mariner_n use_v to_o compile_v with_o