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end_n cut_v draw_v line_n 1,514 5 9.0981 5 false
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ID Title Author Corrected Date of Publication (TCP Date of Publication) STC Words Pages
A16236 The theoriques of the seuen planets shewing all their diuerse motions, and all other accidents, called passions, thereunto belonging. Now more plainly set forth in our mother tongue by M. Blundeuile, than euer they haue been heretofore in any other tongue whatsoeuer, and that with such pleasant demonstratiue figures, as euery man that hath any skill in arithmeticke, may easily vnderstand the same. ... VVhereunto is added by the said Master Blundeuile, a breefe extract by him made, of Maginus his Theoriques, for the better vnderstanding of the Prutenicall tables, to calculate thereby the diuerse motions of the seuen planets. There is also hereto added, The making, description, and vse, of two most ingenious and necessarie instruments for sea-men ... First inuented by M. Doctor Gilbert ... and now here plainely set downe in our mother tongue by Master Blundeuile. Blundeville, Thomas, fl. 1561.; Magini, Giovanni Antonio, 1555-1617. aut; Gilbert, William, 1540-1603. Making, description and use of two most ingenious and necessarie instruments for seamen. aut; Wright, Edward, 1540-1603. aut 1602 (1602) STC 3160; ESTC S117447 145,552 301

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the_o sign_n right_a under_o the_o ecliptic_n and_o make_v his_o revolution_n in_o the_o space_n of_o one_o whole_a year_n that_o be_v in_o 365_o day_n and_o almost_o six_o hour_n and_o by_o the_o revolution_n of_o this_o orb_n be_v describe_v or_o limit_v the_o sun_n year_n and_o you_o have_v to_o note_v that_o the_o table_n of_o alphonsus_n and_o the_o prutenicall_a table_n do_v in_o a_o manner_n agree_v touch_v the_o daily_a move_n of_o this_o orb_n which_o be_v i59·_fw-la ii8·_fw-la iii19·_fw-la iiii37·_fw-la and_o v._o 24·_n so_o as_o his_o yearly_a revolution_n contain_v 365_o day_n 5._o hour_n i49·_fw-la ii15·_fw-la iii46·_fw-la save_v that_o the_o table_n of_o alphonsus_n do_v fail_v in_o the_o daily_a move_n v._o 5·_v and_o thereby_o in_o the_o yearly_a revolution_n do_v exceed_v the_o prutenicall_a table_n by_o iii13·_n and_o so_o much_o be_v the_o equal_a tropical_a year_n according_a to_o copernicus_n count_v the_o same_o from_o the_o very_a equinoctial_a point_n but_o 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and_o so_o pass_v without_o any_o eclipse_n 2._o the_o second_o cause_n of_o the_o change_n or_o variable_a shape_n of_o the_o eclipse_n of_o the_o moon_n be_v the_o unequal_a thickness_n of_o the_o shadow_n of_o the_o earth_n for_o the_o high_a that_o the_o shadow_n of_o the_o earth_n arise_v the_o more_o narrow_a it_o grow_v end_v with_o a_o sharp_a point_n because_o the_o body_n of_o the_o sun_n be_v great_a than_o the_o body_n of_o the_o earth_n and_o therefore_o the_o shadow_n can_v be_v of_o any_o other_o shape_n than_o conicall_a for_o there_o be_v three_o kind_n of_o shadow_n that_o be_v conicall_a cylindricall_a and_o calathoidall_a the_o shadow_n conicall_a be_v that_o which_o end_v with_o a_o sharp_a point_n the_o cylindricall_a be_v of_o like_a bigness_n everywhere_o like_o a_o round_a pillar_n and_o the_o calathoidall_a shadow_n the_o further_a it_o extend_v the_o great_a it_o be_v like_o a_o cup_n or_o bowl_n that_o be_v narrow_a at_o the_o bottom_n and_o broad_a at_o 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time_n the_o first_o way_n chance_v when_o the_o latitude_n of_o the_o moon_n and_o the_o semidiameter_n of_o her_o body_n be_v both_o add_v together_o the_o sum_n thereof_o be_v equal_a unto_o the_o semidiameter_n of_o the_o earth_n as_o this_o figure_n plain_o show_v ¶_o the_o first_o figure_n belong_v to_o the_o eclipse_n of_o the_o moon_n in_o which_o figure_n the_o great_a black_a circle_n signify_v the_o shadow_n of_o the_o earth_n and_o the_o three_o lesser_a circle_n be_v all_o of_o like_a bigness_n each_o of_o they_o represent_v the_o body_n of_o the_o moon_n and_o what_o the_o right_a line_n do_v signify_v the_o letter_n do_v show_v for_o the_o letter_n b_o d_o do_v represent_v the_o semidiameter_n of_o the_o shadow_n of_o the_o earth_n when_o the_o moon_n be_v eclipse_v and_o b_o k_o show_v the_o latitude_n of_o the_o moon_n from_o the_o ecliptic_a which_o ecliptic_a be_v mark_v with_o the_o letter_n a_o c._n now_o k_o d_o signify_v the_o semidiameter_n of_o the_o moon_n body_n and_o the_o letter_n i_o show_v the_o centre_n of_o her_o body_n in_o the_o begin_n of_o her_o eclipse_n and_o the_o letter_n h_o the_o centre_n of_o her_o body_n at_o the_o end_n of_o her_o eclipse_n and_o the_o right_a line_n i_o k_o h_n signify_v the_o way_n of_o the_o moon_n during_o the_o time_n of_o her_o eclipse_n here_o for_o so_o much_o as_o the_o two_o semidiameter_n d_o k_o and_o k_o b_o be_v both_o add_v together_o be_v equal_a unto_o b_o d_o which_o be_v the_o semidiameter_n of_o the_o shadow_n you_o may_v perceive_v that_o the_o moon_n be_v in_o the_o point_n i_o begin_v to_o loose_v her_o light_n by_o little_a and_o little_a until_o she_o come_v to_o the_o point_n k_o and_o there_o be_v whole_o darken_v from_o whence_o she_o present_o begin_v again_o without_o any_o stay_n to_o recover_v her_o light_n until_o she_o come_v to_o the_o point_n h_n whereas_o she_o be_v full_o restore_v again_o to_o her_o light_n the_o second_o kind_n of_o total_a eclipse_n of_o the_o moon_n be_v when_o she_o be_v whole_o eclipse_v and_o the_o same_o continue_v some_o quantity_n of_o time_n which_o always_o happen_v when_o the_o semidiameter_n of_o the_o shadow_n of_o the_o earth_n in_o the_o place_n of_o the_o eclipse_n be_v great_a than_o the_o latitude_n of_o the_o moon_n and_o of_o her_o bodily_a semidiameter_n be_v both_o add_v together_o as_o this_o second_o figure_n next_o follow_v plain_o show_v ¶_o the_o second_o figure_n belong_v to_o the_o eclipse_n of_o the_o moon_n in_o which_o figure_n suppose_v the_o semidiameter_n of_o the_o shadow_n of_o the_o earth_n in_o the_o place_n of_o the_o eclipse_n to_o be_v the_o line_n b_o k_n and_o the_o line_n b_o d_o to_o be_v the_o latitude_n of_o the_o moon_n at_o the_o time_n of_o the_o middle_n of_o the_o eclipse_n from_o the_o ecliptic_a mark_v with_o the_o letter_n a_o c_o and_o the_o line_n r_o d_o to_o be_v the_o semidiameter_n of_o the_o moon_n &_o h_n i_o to_o be_v the_o way_n of_o the_o moon_n in_o the_o time_n of_o her_o darkness_n and_o i_o to_o be_v the_o place_n of_o the_o begin_n of_o her_o eclipse_n and_o h_n the_o end_n of_o the_o eclipse_n and_o m_o her_o place_n when_o she_o be_v whole_o darken_v and_o l_o her_o place_n when_o she_o begin_v to_o recover_v her_o light_n again_o now_o you_o see_v that_o when_o she_o come_v to_o the_o point_n m_o she_o be_v whole_o eclipse_v like_a as_o she_o be_v also_o when_o she_o come_v to_o the_o point_n l_o and_o because_o she_o spend_v some_o quantity_n of_o time_n in_o go_v from_o m_n to_o l_o and_o be_v whole_o darken_v therefore_o be_v this_o call_v a_o totall_n eclipse_n with_o continuance_n thus_o much_o touch_v the_o totall_n ecllipse_n of_o the_o moon_n now_o we_o will_v speak_v of_o the_o partial_a eclipse_n of_o the_o moon_n the_o partial_a eclipse_n be_v when_o some_o part_n of_o the_o moon_n be_v darken_v and_o not_o the_o whole_a and_o of_o this_o partial_a eclipse_n there_o be_v three_o sort_n the_o first_o be_v when_o half_o of_o the_o moon_n diameter_n be_v darken_v and_o the_o other_o half_o keep_v still_o her_o light_n which_o happen_v when_o the_o latitude_n of_o the_o moon_n be_v equal_a unto_o the_o semidiameter_n of_o the_o shadow_n of_o the_o earth_n in_o the_o place_n of_o the_o eclipse_n as_o you_o may_v perceive_v by_o this_o three_o figure_n next_o follow_v ¶_o the_o three_o figure_n belong_v to_o the_o eclipse_n of_o the_o moon_n in_o which_o figure_n b_o d_o signify_v the_o latitude_n of_o the_o moon_n from_o the_o ecliptic_a a_o c_o be_v just_o equal_a unto_o the_o semidiameter_n of_o the_o shadow_n of_o the_o earth_n mark_v also_o with_o b_o d._n the_o second_o sort_n of_o partial_a eclipse_n of_o the_o moon_n be_v when_o a_o lesser_a part_n than_o the_o semidiameter_n of_o the_o moon_n be_v darken_v which_o happen_v when_o her_o latitude_n be_v more_o than_o the_o semidiameter_n of_o the_o shadow_n of_o the_o earth_n as_o you_o may_v see_v by_o this_o four_o figure_n ¶_o the_o four_o figure_n belong_v to_o the_o eclipse_n of_o the_o moon_n in_o which_o figure_n b_o k_o signify_v the_o semidiameter_n of_o the_o shadow_n and_o b_o d_o signify_v the_o latitude_n of_o the_o moon_n now_o for_o that_o b_o d_o be_v more_o than_o b_o k_o you_o see_v that_o there_o be_v but_o a_o little_a of_o her_o light_n take_v away_o by_o the_o shadow_n of_o the_o earth_n the_o three_o sort_n of_o partial_a eclipse_n be_v when_o more_o than_o the_o semidiameter_n of_o the_o moon_n be_v darken_v which_o happen_v when_o the_o latitude_n of_o the_o moon_n be_v less_o than_o the_o semidiameter_n of_o the_o shadow_n of_o the_o earth_n as_o you_o may_v see_v by_o
betwixt_o the_o 90_o degree_n and_o the_o sun_n set_v than_o the_o true_a conjunction_n be_v before_o the_o visible_a conjunction_n and_o general_o the_o further_a that_o the_o true_a conjunction_n be_v from_o the_o 90_o degree_n the_o great_a be_v the_o difference_n betwixt_o the_o true_a conjunction_n and_o the_o visible_a conjunction_n which_o thing_n be_v before_o full_o declare_v whereas_o i_o speak_v of_o the_o parallax_n and_o by_o help_n of_o the_o celestial_a globe_n be_v easy_o perceive_v of_o the_o variety_n of_o the_o solar_a eclipse_n and_o why_o they_o be_v not_o always_o like_a but_o do_v differ_v as_o well_o in_o magnitude_n as_o in_o time_n of_o continuance_n of_o this_o variety_n there_o be_v four_o cause_n 1._o first_o the_o unequal_a apparent_a latitude_n of_o the_o moon_n for_o the_o great_a that_o the_o latitude_n of_o the_o moon_n be_v the_o lesser_a and_o short_a be_v the_o eclipse_n of_o the_o sun_n but_o the_o lesser_a that_o her_o latitude_n be_v the_o great_a and_o long_o be_v the_o eclipse_n of_o the_o sun_n for_o this_o be_v a_o general_a true_a rule_n that_o if_o the_o apparent_a latitude_n of_o the_o moon_n at_o the_o time_n of_o the_o visible_a conjunction_n be_v great_a than_o the_o sum_n of_o the_o two_o semidiameter_n of_o the_o sun_n and_o of_o the_o moon_n be_v both_o add_v together_o than_o the_o sun_n shall_v not_o be_v eclipse_v at_o the_o visible_a conjunction_n but_o if_o the_o apparent_a latitude_n of_o the_o moon_n be_v less_o than_o the_o sum_n of_o the_o two_o say_a semidiameter_n be_v add_v together_o then_o shall_v the_o sun_n be_v eclipse_v at_o that_o visible_a conjunction_n and_o the_o great_a that_o the_o difference_n betwixt_o the_o sum_n of_o the_o two_o semidiameter_n and_o the_o moon_n latitude_n be_v the_o great_a be_v the_o eclipse_n of_o the_o sun_n 2._o the_o second_o cause_n of_o the_o variety_n of_o the_o eclipse_n of_o the_o sun_n be_v the_o unequal_a distance_n as_o well_o of_o the_o sun_n as_o of_o the_o moon_n from_o the_o earth_n for_o the_o change_n of_o their_o distance_n from_o the_o earth_n make_v the_o diameter_n of_o their_o body_n to_o appear_v great_a or_o lesser_a for_o the_o near_a that_o they_o approach_v to_o the_o earth_n the_o great_a do_v their_o diameter_n appear_v unto_o we_o for_o when_o the_o sun_n be_v in_o the_o auge_n of_o his_o excentrique_fw-la and_o therewith_o in_o his_o great_a excentricity_n the_o semidiameter_n of_o his_o shadow_n be_v i15°_n ii40°_n but_o if_o he_o be_v in_o his_o great_a excentricity_n and_o in_o the_o opposite_a auge_n of_o his_o excentrique_fw-la than_o his_o semidiameter_n be_v i17°_n ii2°_n which_o be_v great_a than_o it_o be_v before_o by_o i1°_n ii22·_a and_o if_o the_o sun_n be_v in_o his_o least_o excentricity_n as_o it_o be_v almost_o in_o these_o our_o day_n and_o also_o in_o his_o auge_n than_o his_o semidiameter_n be_v i15°_n ii49°_n but_o be_v in_o the_o opposite_a auge_n of_o his_o excentrique_fw-la than_o his_o semidiameter_n be_v ii16·_v i2°_n which_o be_v great_a than_o it_o be_v before_o by_o i1°_n ii3°_n likewise_o when_o the_o moon_n be_v in_o her_o auge_n whether_o it_o be_v at_o her_o conjunction_n with_o the_o sun_n or_o at_o her_o opposition_n to_o the_o sun_n her_o semidiameter_n be_v but_o i15°_n ii0°_n but_o be_v in_o her_o opposite_a auge_n her_o semidiameter_n will_v be_v i17°_n ii49°_n which_o be_v great_a than_o it_o be_v before_o by_o i2°_n ii49°_n whereby_o it_o happen_v that_o sometime_o the_o whole_a body_n of_o the_o sun_n seem_v to_o be_v darken_v and_o at_o other_o time_n but_o some_o part_n of_o his_o body_n and_o that_o either_o at_o some_o side_n thereof_o or_o else_o in_o the_o very_a midst_n of_o his_o body_n and_o then_o there_o appear_v round_o about_o he_o a_o narrow_a bright_a circle_n which_o we_o common_o call_v a_o borough_n all_o the_o other_o part_n in_o the_o midst_n of_o his_o body_n be_v darken_v 3._o the_o three_o cause_n of_o the_o variety_n of_o the_o solar_a eclipse_n be_v the_o twofold_a inequality_n of_o the_o moon_n motion_n whereof_o the_o first_o depend_v upon_o the_o motion_n of_o her_o epicicle_n whereby_o she_o be_v sometime_o swift_a and_o sometime_o slow_a of_o ga●e_n and_o the_o second_o inequality_n of_o her_o motion_n happen_v by_o reason_n of_o her_o parallax_n which_o make_v her_o motion_n to_o appear_v variable_a every_o hour_n and_o thereby_o her_o apparent_a motion_n be_v also_o sometime_o swift_a &_o sometime_o slow_a and_o it_o happen_v that_o not_o only_o the_o time_n of_o the_o continuance_n of_o the_o eclipse_n alter_v but_o also_o the_o time_n of_o incidence_n be_v make_v to_o be_v unequal_a unto_o the_o time_n of_o repletion_n 4._o the_o four_o cause_n of_o the_o inequality_n of_o the_o sun_n eclipse_n be_v the_o small_a quantity_n of_o the_o body_n of_o the_o moon_n in_o respect_n of_o the_o sun_n or_o of_o the_o earth_n and_o the_o small_a distance_n of_o the_o moon_n from_o the_o earth_n for_o by_o these_o two_o mean_n neither_o can_v the_o solar_a eclipse_n appear_v of_o a_o like_a bigness_n in_o all_o place_n in_o which_o they_o may_v be_v see_v neither_o yet_o can_v the_o say_v eclipse_n be_v see_v at_o one_o time_n in_o all_o place_n of_o the_o earth_n as_o be_v show_v before_o last_o by_o these_o two_o mean_n it_o happen_v that_o the_o eclipse_n of_o the_o sun_n appear_v not_o at_o oneself_o time_n in_o diverse_a place_n and_o it_o begin_v soon_o to_o they_o which_o dwell_v westward_o than_o to_o those_o which_o dwell_v eastward_o in_o such_o sort_n as_o the_o say_a eclipse_n of_o the_o sun_n will_v be_v end_v in_o one_o place_n before_o it_o begin_v in_o another_o and_o thus_o much_o touch_v the_o cause_n of_o the_o variety_n of_o the_o eclipse_n of_o the_o sun_n of_o the_o two_o special_a kind_n of_o solar_a eclipse_n that_o be_v total_a and_o partial_a the_o totall_n eclipse_n be_v when_o the_o sun_n be_v whole_o darken_v or_o seem_v to_o we_o to_o have_v lose_v his_o 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continue_v so_o little_a a_o time_n as_o it_o be_v insensible_a and_o therefore_o the_o total_a eclipse_n of_o the_o sun_n be_v always_o without_o continuance_n of_o the_o partial_a eclipse_n of_o the_o sun_n the_o partial_a eclipse_n of_o the_o sun_n be_v when_o some_o part_n of_o the_o sun_n light_n be_v take_v away_o and_o not_o all_o his_o body_n darken_v and_o of_o this_o kind_n there_o be_v three_o sort_n 1._o the_o first_o be_v when_o the_o semidiameter_n of_o the_o sun_n be_v darken_v which_o happen_v when_o the_o apparent_a latitude_n of_o the_o moon_n be_v equal_a unto_o her_o apparent_a semidiameter_n 2._o the_o second_o sort_n be_v when_o more_o than_o the_o semidiameter_n of_o the_o sun_n be_v
darken_v which_o happen_v when_o the_o apparent_a latitude_n of_o the_o moon_n be_v less_o than_o the_o apparent_a semidiameter_n of_o her_o body_n 3._o the_o three_o be_v when_o less_o than_o the_o semidiameter_n of_o the_o body_n of_o the_o sun_n be_v darken_v which_o happen_v when_o the_o apparent_a latitude_n of_o the_o moon_n be_v great_a than_o the_o apparent_a semidiameter_n of_o her_o body_n of_o all_o which_o three_o kind_n i_o have_v set_v a_o example_n in_o these_o three_o figure_n here_o follow_v ¶_o three_o figure_n show_v the_o three_o kind_n of_o the_o sun_n partial_a eclipse_n of_o which_o figure_n the_o first_o show_v the_o first_o kind_n of_o partial_a eclipse_n the_o second_o figure_n show_v the_o second_o kind_n and_o the_o three_o figure_n show_v the_o last_o kind_n of_o partial_a eclipse_n in_o every_o of_o which_o figure_n the_o letter_n a_o signify_v the_o centre_n of_o the_o sun_n and_o the_o semidiameter_n of_o his_o body_n be_v the_o right_a line_n a_o b_o 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moon_n at_o the_o time_n of_o her_o great_a darkness_n the_o character_n of_o the_o nodes_fw-la on_o the_o east_n or_o west_n side_n of_o any_o of_o the_o foresay_a figure_n do_v show_v what_o way_n the_o head_n or_o tail_n of_o the_o dragon_n do_v stand_v and_o to_o which_o of_o the_o nodes_fw-la the_o eclipse_n be_v near_a of_o the_o bound_n or_o limit_n of_o the_o solar_a eclipse_n and_o now_o that_o you_o know_v the_o several_a kind_n of_o eclipse_n it_o will_v not_o be_v hard_a to_o judge_v which_o of_o they_o will_v happen_v at_o the_o time_n of_o any_o eclipse_n of_o the_o sun_n especial_o if_o you_o know_v the_o bound_n or_o limit_n within_o which_o the_o eclipse_n of_o the_o sun_n must_v needs_o be_v before_o he_o can_v be_v eclipse_v which_o bound_n can_v be_v better_o determine_v than_o by_o the_o apparent_a latitude_n of_o the_o moon_n for_o if_o the_o say_a latitude_n be_v more_o than_o the_o two_o semidiameter_n of_o the_o sun_n and_o of_o the_o moon_n be_v both_o add_v together_o it_o be_v impossible_a that_o the_o sun_n shall_v be_v eclipse_v at_o that_o conjunction_n but_o if_o the_o apparent_a latitude_n be_v less_o than_o the_o say_v two_o semidiameter_n then_o may_v the_o sun_n be_v eclipse_v and_o the_o least_o sum_n of_o the_o two_o semidiameter_n of_o the_o sun_n and_o moon_n that_o can_v be_v which_o be_v when_o both_o the_o sun_n and_o moon_n be_v in_o the_o auge_n of_o their_o orb_n and_o the_o sun_n in_o his_o great_a excentricity_n be_v i30_n ii40_n and_o the_o great_a sum_n of_o the_o say_v two_o semidiameter_n that_o can_v be_v be_v but_o i34_n ii1_n from_o hence_o you_o may_v gather_v these_o three_o rule_n here_o follow_v 1._o first_o if_o the_o apparent_a latitude_n of_o the_o moon_n at_o the_o time_n of_o the_o visible_a conjunction_n be_v less_o than_o i30_n ii40_n it_o can_v be_v but_o that_o the_o sun_n must_v be_v eclipse_v 2._o second_o if_o the_o apparent_a latitude_n of_o the_o moon_n at_o the_o time_n of_o the_o visible_a conjunction_n be_v more_o than_o i30_n ii40_n and_o less_o than_o i34_n ii31_n it_o may_v be_v that_o the_o sun_n shall_v be_v eclipse_v in_o some_o part_n at_o the_o time_n of_o the_o visible_a conjunction_n 3._o three_o if_o the_o apparent_a latitude_n of_o the_o moon_n be_v more_o than_o i34_n ii51_n the_o sun_n can_v loose_v any_o of_o his_o light_n but_o ptolomey_n determine_v the_o say_a bound_n of_o the_o solar_a eclipse_n by_o the_o distance_n of_o the_o moon_n from_o either_o of_o the_o two_o nodes_fw-la for_o if_o the_o moon_n be_v distant_a from_o either_o of_o the_o nodes_fw-la 20_o degree_n i40_n towards_o the_o north_n or_o 11_o degree_n i20_n towards_o the_o south_n at_o the_o time_n of_o the_o mean_a conjunction_n than_o it_o may_v fall_v out_o that_o the_o sun_n shall_v be_v eclipse_v but_o if_o she_o be_v further_a distant_a from_o the_o say_v nodes_fw-la at_o the_o time_n of_o the_o mean_a conjunction_n then_o can_v the_o sun_n be_v eclipse_v and_o note_v that_o ptolomey_n make_v the_o north_n bound_v big_a than_o the_o southern_a bound_n because_o of_o the_o parallax_n and_o this_o distance_n from_o the_o nodes_fw-la may_v be_v reckon_v either_o according_a to_o the_o succession_n or_o contrary_n to_o the_o succession_n of_o the_o sign_n of_o the_o eclipticall_a digit_n belong_v to_o the_o solar_a eclipse_n as_o the_o eclipticall_a digit_n of_o the_o moon_n be_v 12_o so_o likewise_o be_v there_o 12_o eclipticall_a digit_n of_o the_o eclipse_n of_o the_o sun_n but_o the_o eclipse_n of_o the_o sun_n can_v never_o exceed_v 12_o digit_n and_o 15_o minute_n for_o the_o great_a apparent_a semidiameter_n of_o the_o moon_n be_v but_o i17_n ii49_n and_o the_o least_o apparent_a semidiameter_n of_o the_o sun_n be_v i15_n ii40_n which_o two_o semidiameter_n if_o you_o add_v together_o the_o sum_n will_v be_v i33_n ii29_n then_o have_v double_v the_o least_o semidiameter_n of_o the_o sun_n which_o be_v i15_n ii40_n the_o sum_n will_v be_v i31_n ii20_n which_o be_v the_o least_o apparent_a semidiameter_n of_o the_o sun_n then_o say_v by_o the_o rule_n of_o proportion_n if_o i31_n ii20_n be_v equal_a to_o 12_o digit_n to_o what_o or_o how_o much_o shall_v i33_n ii29_n be_v equal_a so_o shall_v you_o find_v the_o four_o proportional_a number_n to_o be_v very_o near_o 12_o digit_n and_o 50_o minute_n and_o this_o be_v the_o great_a number_n of_o eclipticall_a digit_n that_o any_o eclipse_n of_o the_o sun_n can_v have_v and_o this_o may_v happen_v when_o the_o sun_n be_v in_o the_o auge_n of_o his_o excentrique_fw-la and_o in_o his_o great_a excentricity_n and_o the_o moon_n in_o her_o opposite_a auge_n and_o therewith_o insuch_o place_n as_o be_v situate_v within_o the_o compass_n of_o the_o moon_n shadow_n the_o diameter_n of_o which_o shadow_n may_v at_o that_o time_n be_v very_o near_o 280_o mile_n in_o length_n of_o our_o english_a mile_n or_o 70_o german_a mile_n within_o which_o compass_n whosoever_o dwell_v may_v loose_v the_o whole_a light_n of_o the_o sun_n at_o that_o eclipse_n and_o you_o shall_v know_v the_o number_n of_o the_o eclipticall_a digit_n by_o the_o 62_o precept_n of_o the_o prutenicall_a table_n and_o many_o time_n it_o may_v fall_v out_o that_o although_o the_o moon_n haae_fw-mi no_o apparent_a latitude_n yet_o the_o eclipse_n of_o the_o sun_n will_v not_o be_v so_o great_a for_o if_o the_o moon_n be_v in_o she_o auge_n and_o the_o sun_n in_o the_o opposite_a auge_n of_o his_o excentrique_fw-la and_o therewith_o in_o his_o least_o excentricity_n the_o number_n of_o the_o eclipticall_a digit_n can_v be_v no_o more_o but_o 11_o degree_n and_o 15_o minute_n so_o as_o the_o sun_n will_v appear_v to_o have_v lose_v his_o light_n in_o the_o very_a midst_n and_o round_o about_o that_o eclipse_n will_v appear_v a_o little_a circle_n as_o it_o be_v three_o quarter_n of_o a_o inch_n in_o breadth_n all_o which_o thing_n touch_v the_o eclipticall_a digit_n will_v not_o be_v hard_a to_o conceive_v if_o you_o remember_v what_o be_v speak_v of_o this_o matter_n in_o the_o eclipse_n of_o the_o moon_n what_o thing_n be_v to_o be_v consider_v touch_v the_o continuance_n of_o the_o solar_a eclipse_n in_o account_v the_o continuance_n of_o the_o eclipse_n of_o the_o sun_n the_o astronomer_n do_v only_o observe_v two_o thing_n 1._o the_o first_o be_v the_o scruple_n of_o incidence_n which_o be_v nothing_o else_o but_o the_o way_n or_o arch_n of_o the_o circle_n of_o the_o moon_n deferent_a in_o which_o she_o go_v from_o the_o begin_n of_o the_o eclipse_n unto_o the_o middle_n of_o the_o same_o which_o in_o the_o three_o last_o figure_n be_v signify_v by_o the_o line_n e_o f._n 2._o the_o second_o thing_n
same_o be_v show_v in_o the_o 33_o precept_n 7._o the_o orbe_fw-la excentrique_fw-la be_v a_o orb_n of_o one_o equal_a thickness_n compass_v the_o centre_n of_o the_o world_n in_o which_o excentrique_fw-la the_o epicicle_n be_v always_o carry_v and_o make_v his_o revolution_n in_o 29_o egyptian_a year_n 183_o day_n and_o almost_o 5_o hour_n the_o diurnal_a motion_n thereof_o be_v i2·_fw-la ii0·_fw-la iii21·_fw-la iiii16·_fw-la almost_o 8._o the_o centre_n of_o the_o excentrique_fw-la mark_v with_o b_o be_v a_o point_n in_o the_o middle_n of_o the_o excentrique_fw-la from_o which_o all_o right_a line_n that_o be_v draw_v unto_o the_o concavitie_n of_o the_o excentrique_fw-la be_v equal_a 9_o the_o distance_n betwixt_o which_o centre_n and_o the_o centre_n of_o the_o world_n be_v call_v the_o excentricity_n of_o the_o excentrique_fw-la and_o the_o distance_n betwixt_o the_o two_o say_a centre_n that_o be_v of_o the_o world_n and_o of_o the_o excentrique_fw-la be_v 3_o degree_n i25·_n 10._o the_o circle_n equant_fw-la be_v a_o circle_n describe_v upon_o the_o point_n c_o in_o the_o plane_n of_o the_o excentrique_fw-la in_o regard_n of_o the_o centre_n whereof_o the_o motion_n as_o well_o of_o the_o excentrique_fw-la as_o of_o the_o epicicle_n be_v regular_a and_o equal_a and_o this_o circle_n be_v sometime_o call_v the_o circle_n of_o equality_n sometime_o the_o equator_fw-la and_o other_o time_n the_o excentricall_a equator_fw-la the_o distance_n of_o the_o centre_n whereof_o be_v from_o the_o centre_n of_o the_o excentrique_fw-la 3_o degree_n i25·_n and_o from_o the_o centre_n of_o the_o world_n 6_o degree_n i50·_n and_o this_o distance_n from_o the_o centre_n of_o the_o world_n be_v call_v the_o excentricity_n of_o the_o circle_n equant_fw-la 11._o the_o epicicle_n be_v a_o little_a orb_n who_o centre_n be_v mark_v with_o the_o letter_n e_o which_o the_o excentrique_fw-la carry_v about_o which_o epicicle_n notwithstanding_o have_v his_o proper_a motion_n for_o the_o high_a part_n thereof_o have_v his_o move_a according_a to_o the_o succession_n of_o the_o sign_n and_o the_o low_a part_n contrary_a to_o the_o succession_n of_o the_o sign_n the_o daily_a motion_n of_o the_o epicycle_n about_o his_o own_o centre_n be_v i57·_fw-la ii7·_fw-la iii44·_fw-la and_o make_v one_o ent●e_fw-fr revolution_n in_o 378_o day_n 21_o hour_n i36·_fw-la 12._o but_o because_o that_o the_o account_v of_o the_o motion_n by_o the_o circle_n equant_fw-la be_v troublesome_a therefore_o the_o astronomer_n do_v use_v to_o reckon_v the_o fame_n upon_o the_o ecliptic_a by_o impose_v a_o line_n to_o be_v draw_v from_o the_o centre_n of_o the_o world_n unto_o the_o ecliptic_a in_o such_o sort_n as_o the_o same_o may_v be_v parallel_n unto_o the_o line_n before_o draw_v as_o in_o the_o foresay_a figure_n the_o line_n a_o g_z be_v parallel_n unto_o the_o line_n c_o e_o be_v call_v the_o line_n o●_n the_o mean_a move_n of_o the_o epicicle_n or_o of_o the_o planet_n 13._o the_o mean_a anomalia_fw-la of_o the_o excentrique_fw-la be_v a_o arch_n of_o the_o ecliptic_a begin_v at_o the_o line_n of_o the_o auge_n and_o so_o proceed_v according_a to_o the_o succession_n of_o the_o sign_n until_o at_o end_n at_o the_o line_n of_o the_o mean_a move_n as_o in_o the_o foresay_a figure_n the_o line_n a_o f_o be_v the_o line_n of_o the_o auge_n and_o a_o g_o be_v the_o line_n of_o the_o mean_a move_n now_o the_o arch_n of_o the_o ecliptic_a which_o be_v comprehend_v betwixt_o the_o two_o line_n a_o f_o and_o a_o g_o that_o be_v to_o say_v the_o arch_n f_o g_z be_v call_v the_o mean_a anomalia_fw-la of_o the_o excentrique_fw-la and_o of_o some_o it_o be_v call_v the_o mean_a or_o equal_a centre_n 14._o but_o if_o the_o say_a arch_n be_v reckon_v from_o the_o first_o star_n of_o the_o ram_n horn_n unto_o the_o line_n of_o the_o mean_a move_n mark_v with_o a_o g_o than_o the_o say_a arch_n be_v call_v the_o equal_a motion_n of_o longitude_n which_o you_o may_v find_v by_o the_o table_n at_o any_o time_n suppose_v by_o the_o 13_o and_o 14_o cannon_n in_o the_o column_n who_o title_n be_v longitudinis_fw-la saturni_n in_o such_o order_n as_o be_v show_v in_o the_o eight_o precept_n the_o equal_a or_o mean_a move_n of_o the_o longitude_n of_o saturn_n be_v daily_o i2·_fw-la ii0·_fw-la iii27·_fw-la iiii18·_fw-la and_o the_o yearly_a motion_n thereof_o be_v 12_o degree_n i12·_fw-la ii46·_fw-la iii4·_fw-la and_o the_o whole_a revolution_n be_v in_o 29_o egyptian_a year_n 174_o day_n 4_o hour_n i58·_fw-la ii24·_fw-la for_o in_o that_o time_n it_o return_v to_o the_o first_o star_n of_o the_o ram_n horn_n 15._o the_o line_n of_o the_o true_a move_n of_o the_o epicicle_n be_v a_o right_a line_n draw_v from_o the_o centre_n of_o the_o world_n pass_v through_o the_o centre_n of_o the_o epicicle_n unto_o the_o ecliptic_a as_o in_o the_o foresay_a figure_n the_o right_a line_n a_o e_o l_o be_v call_v the_o line_n of_o the_o true_a motion_n of_o the_o epicicle_n 16._o the_o true_a or_o coequated_a anomalia_fw-la of_o the_o excentrique_fw-la which_o be_v call_v by_o the_o alphonsine_n the_o true_a centre_n be_v a_o arch_n of_o the_o ecliptic_a begin_v at_o the_o place_n of_o the_o auge_n of_o the_o excentrique_fw-la and_o end_v at_o the_o true_a place_n of_o the_o centre_n of_o the_o epicicle_n as_o in_o the_o foresay_a figure_n the_o arch_n f_o l_o be_v the_o true_a anomalia_fw-la of_o the_o excentrique_fw-la 17._o the_o true_a motion_n of_o the_o longitude_n of_o the_o epicicle_n be_v a_o arch_n of_o the_o ecliptic_a begin_v at_o the_o first_o star_n of_o the_o ram_n horn_n and_o end_v at_o the_o true_a place_n of_o the_o centre_n of_o the_o epicicle_n as_o in_o the_o foresay_a figure_n the_o arch_n from_o the_o ram_n horn_n mark_v with_o a_o little_a star_n in_o the_o ecliptic_a of_o the_o eight_o sphere_n to_o l_o be_v call_v the_o true_a move_n of_o the_o longitude_n of_o the_o epicicle_n 18._o the_o prosthapheresis_fw-la or_o equation_n of_o the_o centre_n be_v the_o difference_n betwixt_o the_o mean_a anomalia_fw-la and_o the_o coequated_a anomalia_fw-la of_o the_o excentrique_fw-la or_o the_o difference_n betwixt_o the_o equal_a move_n and_o the_o true_a move_n of_o longitude_n as_o the_o arch_n l_o g_o be_v call_v the_o equation_n of_o the_o centre_n and_o this_o equation_n be_v never_o great_a than_o 6_o degree_n i30·_fw-la ii30·_fw-la and_o be_v always_o great_a when_o the_o equal_a move_n of_o the_o centre_n of_o the_o epicicle_n from_o the_o auge_n of_o the_o excentrique_fw-la be_v 11_o sex_n 33_o degree_n whether_o the_o same_o be_v reckon_v according_a to_o the_o succession_n of_o the_o sign_n or_o contrary_a to_o the_o succession_n of_o the_o sign_n and_o from_o thence_o it_o decrease_v until_o the_o line_n of_o the_o say_v mean_a move_n come_v into_o the_o line_n of_o the_o opposite_a auge_n the_o find_n of_o which_o equation_n be_v teach_v in_o the_o 34_o precept_n by_o help_n of_o the_o 19_o cannon_n in_o the_o column_n who_o title_n be_v eccentrici_n and_o be_v to_o be_v add_v or_o subtract_v according_a as_o the_o word_n subtrahe_fw-la and_o add_v at_o the_o head_n or_o foot_n of_o the_o say_a column_n do_v show_v 19_o the_o two_o point_n in_o which_o the_o prosthapheresis_fw-la of_o the_o excentrique_fw-la be_v great_a be_v call_v the_o mean_a longitude_n of_o the_o excentrique_fw-la and_o these_o two_o point_n be_v show_v by_o a_o right_a line_n perpendicular_o draw_v upon_o the_o line_n of_o auge_n and_o pass_v through_o the_o middle_a space_n of_o the_o distance_n betwixt_o the_o centre_n of_o the_o world_n and_o the_o centre_n of_o the_o excentrique_fw-la as_o in_o the_o former_a figure_n in_o which_o the_o point_n a_o signify_v the_o centre_n of_o the_o world_n and_o the_o point_n b_o the_o centre_n of_o the_o excentrique_fw-la now_o if_o the_o space_n b_o at_fw-fr be_v divide_v into_o two_o equal_a part_n as_o in_o the_o point_n qui_fw-fr and_o through_o the_o same_o point_n q_o a_o right_a line_n be_v draw_v cross_v the_o line_n a_o f_o with_o right_a angle_n and_o be_v produce_v as_o well_o towards_o the_o right_a hand_n as_o towards_o the_o left_a unto_o the_o two_o point_n of_o the_o circumference_n of_o the_o excentrique_fw-la mark_v with_o the_o two_o letter_n t_n and_o v_n the_o say_v two_o point_n t_n and_o v_n be_v call_v the_o mean_a longitude_n of_o the_o excentrique_fw-la in_o which_o mean_a longitude_n the_o centre_n of_o the_o epicicle_n be_v when_o the_o equal_a motion_n of_o saturn_n longitude_n be_v 93_o degree_n or_o 267_o degree_n 20._o the_o mean_a auge_n of_o the_o epicicle_n be_v a_o point_n in_o the_o circumference_n of_o the_o epicicle_n which_o be_v further_a distant_a from_o the_o centre_n of_o the_o circle_n equant_fw-la and_o this_o point_n be_v find_v by_o draw_v a_o
mean_a auge_n of_o the_o excentricity_n which_o be_v iii4·_v iiii12·_n as_o be_v say_v in_o the_o first_o definition_n of_o this_o chapter_n the_o sum_n of_o that_o addition_n will_v be_v ii1·_fw-la iii6·_fw-la iiii14·_fw-la and_o this_o be_v the_o daily_a distance_n betwixt_o the_o two_o mean_a auge_n viz._n that_o of_o the_o excentricity_n and_o this_o of_o the_o orb_n of_o the_o anomalia_fw-la of_o the_o excentricity_n 12._o the_o orbe_fw-la excentrique_fw-la be_v a_o orb_n in_o the_o theoric_n of_o the_o sun_n in_o which_o the_o body_n of_o the_o sun_n be_v continual_o carry_v about_o this_o orb_n be_v place_v betwixt_o the_o two_o orb_n which_o be_v the_o deferent_n of_o the_o excentrique_fw-la and_o move_v from_o west_n to_o east_n upon_o his_o own_o moovable_a centre_n which_o centre_n be_v movable_a by_o reason_n of_o the_o move_n of_o the_o two_o orb_n which_o be_v the_o deferent_n of_o the_o excentrique_fw-la and_o the_o axletree_n which_o be_v also_o movable_a according_a to_o the_o motion_n of_o the_o centre_n of_o the_o excentrique_fw-la in_o the_o circumference_n of_o the_o say_v little_a circle_n and_o the_o daily_a motion_n of_o this_o orb_n from_o the_o mean_a auge_n of_o the_o orb_n of_o the_o anomalia_fw-la of_o the_o excentricity_n be_v i59·_fw-la ii9·_fw-la iii●3·_fw-la iiii24·_fw-la and_o make_v his_o entire_a revolution_n in_o 365_o day_n 3_o hour_n i36·_a ii25·_n which_o motion_n be_v reckon_v from_o the_o mean_a auge_n of_o the_o orb_n of_o the_o anomalia_fw-la of_o the_o excentricity_n for_o the_o sun_n return_v to_o the_o say_a point_n or_o mean_a auge_n in_o 365_o day_n 3_o hour_n i36·_a ii2●°_n 13._o the_o line_n of_o the_o true_a place_n of_o the_o sun_n be_v a_o right_a line_n draw_v from_o the_o centre_n of_o the_o world_n through_o the_o centre_n of_o the_o sun_n unto_o the_o ecliptic_a and_o the_o point_n in_o the_o ecliptic_a in_o which_o the_o say_a line_n end_v be_v the_o true_a place_n of_o the_o sun_n as_o in_o the_o former_a 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the_o daily_a motion_n of_o the_o sun_n from_o the_o mean_a auge_n of_o the_o orb_n of_o the_o anomalia_fw-la of_o the_o excentricity_n exceed_v the_o daily_a distance_n betwixt_o the_o mean_a auge_n of_o the_o excentrique_fw-la and_o the_o mean_a auge_n of_o the_o orb_n of_o the_o anomalia_fw-la and_o this_o anomalia_fw-la be_v find_v by_o subtract_v the_o daily_a distance_n of_o the_o say_v two_o auge_n which_o be_v ii1●°_n iii6·_fw-la iiii14·_fw-la as_o be_v show_v in_o the_o 11_o definition_n of_o this_o chapter_n out_o of_o i59·_fw-la ii9·_fw-la iii13·_fw-la iiii24·_fw-la which_o be_v the_o daily_a motion_n of_o the_o excentrique_fw-la from_o the_o mean_a auge_n of_o the_o orb_n of_o the_o anomalia_fw-la of_o the_o excentricity_n as_o be_v show_v before_o in_o the_o 12_o definition_n the_o remainder_n of_o which_o subtraction_n will_v be_v i59·_fw-la ii8·_fw-la iii7·_fw-la iiii10·_fw-la and_o although_o that_o this_o anomalia_fw-la do_v belong_v proper_o unto_o the_o excentrique_fw-la yet_o notwithstanding_o the_o say_v anomalia_fw-la be_v also_o suppose_a to_o be_v in_o the_o ecliptic_a by_o imagine_v a_o line_n to_o be_v draw_v from_o the_o centre_n of_o the_o world_n unto_o the_o ecliptic_a in_o such_o order_n as_o that_o the_o say_a line_n may_v be_v parallel_n unto_o another_o line_n which_o be_v draw_v from_o the_o centre_n of_o the_o excentrique_fw-la unto_o the_o place_n or_o centre_n of_o the_o sun_n and_o the_o line_n so_o draw_v may_v be_v call_v the_o line_n of_o the_o imaginary_a motion_n of_o the_o sun_n as_o in_o the_o foresay_a second_o figure_n let_v a_o right_a line_n be_v draw_v from_o c_o to_o m_n then_o unto_o the_o same_o line_n draw_v another_o parallel_n right_a line_n from_o the_o centre_n a_o and_o produce_v the_o same_o unto_o the_o ecliptic_a in_o the_o point_n n_n so_o shall_v the_o arch_n of_o the_o ecliptic_a which_o be_v comprehend_v betwixt_o the_o point_n e_o and_o n_o be_v the_o yearly_a anomalia_fw-la or_o mean_a argument_n of_o the_o sun_n in_o the_o zodiac_n the_o find_n of_o which_o anomalia_fw-la for_o any_o time_n appoint_v be_v teach_v in_o the_o 8_o precept_n by_o help_n of_o the_o 13_o and_o 14_o cannon_n in_o that_o collum_n who_o title_n be_v anomalia_fw-la annua_fw-la solis_fw-la 15._o the_o true_a auge_n of_o the_o excentrique_fw-la be_v that_o point_n in_o the_o excentrique_fw-la which_o be_v further_a distant_a from_o the_o centre_n of_o the_o world_n and_o this_o true_a auge_n be_v point_v or_o show_v by_o a_o right_a line_n draw_v from_o the_o centre_n of_o the_o world_n through_o the_o moovable_a centre_n of_o the_o excentrique_fw-la unto_o the_o ecliptic_a and_o the_o point_n in_o the_o ecliptic_a in_o which_o the_o say_v right_a line_n do_v end_n be_v the_o place_n of_o the_o true_a auge_n of_o the_o excentrique_fw-la in_o the_o ecliptic_a and_o the_o say_v right_a line_n be_v call_v the_o line_n of_o the_o true_a auge_n of_o the_o excentrique_fw-la as_o in_o the_o foresay_a 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