Selected quad for the lemma: cause_n

Word A Word B Word C Word D Occurrence Frequency Band MI MI Band Prominent
cause_n body_n part_n time_n 1,743 5 3.4636 3 false
View all documents for the selected quad

Text snippets containing the quad

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

There are 7 snippets containing the selected quad. | View original text

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 whole_a light_n and_o this_o eclipse_n be_v always_o without_o continuance_n which_o happen_v when_o the_o moon_n have_v no_o apparent_a latitude_n at_o the_o time_n of_o the_o visible_a conjunction_n as_o this_o figure_n plain_o show_v ¶_o the_o three_o figure_n belong_v to_o the_o solar_a eclipse_n in_o which_o figure_n suppose_v the_o letter_n a_o to_o be_v the_o centre_n of_o the_o sun_n body_n and_o the_o line_n a_o h_n to_o be_v the_o semidiameter_n of_o his_o body_n and_o d_o b_o to_o be_v the_o ecliptic_a line_n and_o a_o b_o to_o be_v the_o semidiameter_n of_o the_o circle_n in_o which_o the_o moon_n be_v at_o the_o beginning_n and_o end_v of_o the_o eclipse_n and_o the_o line_n f_o g_z to_o be_v the_o way_n of_o the_o moon_n motion_n during_o the_o time_n of_o the_o eclipse_n cross_v the_o line_n d_o b_o in_o the_o point_n a_o which_o point_n a_o may_v also_o signify_v the_o head_n or_o tail_n of_o the_o dragon_n and_o the_o letter_n f_o signify_v the_o south_n latitude_n and_o g_o the_o north_n latitude_n and_o the_o point_n f_o do_v also_o signify_v the_o centre_n of_o the_o moon_n at_o the_o beginning_n and_z g_z the_o centre_n of_o the_o moon_n at_o the_o end_n of_o the_o eclipse_n and_o the_o line_n r_o f_o or_o g_o s_o do_v signify_v the_o semidiameter_n of_o the_o body_n of_o the_o moon_n now_o you_o see_v that_o the_o moon_n by_o her_o motion_n come_v by_o little_a and_o little_a to_o shadow_v the_o light_n of_o the_o sun_n until_o she_o have_v move_v from_o the_o point_n f_o where_o the_o eclipse_n begin_v unto_o the_o point_n a_o where_o his_o whole_a light_n be_v take_v away_o and_o then_o without_o any_o stay_n she_o move_v on_o forward_o from_o the_o point_n a_o unto_o g_o where_o the_o eclipse_n end_v and_o although_o it_o fall_v out_o sometime_o that_o the_o moon_n do_v shadow_n more_o than_o the_o body_n of_o the_o sun_n which_o be_v very_o seldom_o or_o never_o although_o it_o may_v so_o happen_v yet_o do_v the_o total_a darkness_n 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
otherwise_o call_v of_o some_o the_o mix_a parallax_n because_o it_o comprehend_v both_o the_o other_o two_o parallax_n unto_o which_o quadrant_n be_v add_v first_o the_o ecliptic_a line_n divide_v into_o degree_n and_o be_v signify_v by_o the_o letter_n i_o h_n the_o arch_n whereof_o mark_v with_o k_o l_o intercept_v betwixt_o the_o true_a and_o apparent_a place_n of_o the_o moon_n show_v the_o parallax_n according_a to_o longitude_n then_o the_o two_o circle_n parallel_n to_o the_o ecliptic_a which_o be_v mark_v with_o the_o letter_n n_o m_n and_o q_o p_o through_o which_o two_o parallel_n and_o also_o through_o the_o ecliptic_a be_v draw_v from_o the_o pole_n of_o the_o zodiac_n mark_v with_o s_n two_o great_a circle_n whereof_o the_o one_o pass_v through_o the_o true_a place_n of_o the_o moon_n mark_v with_o s_o d_o r_o and_o the_o other_o pass_v through_o the_o apparent_a place_n of_o the_o moon_n mark_v with_o s_o o_o e_o so_o as_o each_o of_o the_o arch_n intercept_v betwixt_o the_o foresay_a parallel_n that_o be_v to_o say_v either_o d_o r_z or_o o_o e_o signify_v the_o parallax_n according_a to_o latitude_n and_o the_o diagonall_a arch_n mark_v with_o the_o letter_n d_o e_o do_v show_v the_o simple_a or_o mix_a parallax_n how_o the_o two_o parallax_n of_o longitude_n and_o latitude_n be_v to_o be_v compare_v together_o to_o do_v this_o it_o be_v first_o necessary_a to_o know_v what_o the_o 90_o degree_n of_o the_o moon_n be_v which_o be_v a_o point_n in_o the_o ecliptic_a devide_v that_o semicircle_n of_o the_o ecliptic_a which_o be_v above_o the_o horizon_n into_o two_o equal_a quadrant_n and_o be_v in_o the_o very_a midst_n of_o the_o say_a semicircle_n betwixt_o east_n and_o west_n and_o this_o point_n be_v ready_o find_v by_o help_n of_o a_o celestial_a globe_n in_o manner_n and_o form_n follow_v for_o first_o have_v set_v the_o globe_n at_o our_o latitude_n which_o be_v 52_o suppose_v the_o moon_n to_o be_v in_o the_o first_o point_n of_o taurus_n here_o if_o you_o bring_v that_o point_n to_o the_o movable_a meridian_n you_o shall_v find_v that_o the_o 17_o of_o leo_n then_o rise_v above_o the_o horizon_n and_o that_o the_o 17_o of_o aquarius_n go_v down_o beneath_o the_o horizon_n which_o be_v the_o one_o half_a of_o the_o ecliptic_a of_o which_o half_a by_o count_v 90_o degree_n from_o the_o east_n point_n that_o be_v from_o the_o 17_o of_o leo_n and_o so_o forward_o you_o shall_v find_v that_o the_o 17_o of_o taurus_n be_v the_o middle_a point_n or_o 90_o degree_n and_o the_o same_o to_o be_v nigh_o to_o the_o south_n than_o to_o the_o east_n now_o how_o to_o compare_v together_o the_o two_o foresay_a parallax_n these_o five_o rule_n follow_v do_v show_v 1._o first_o if_o the_o moon_n be_v in_o the_o 90_o degree_n of_o the_o ecliptic_a above_o the_o horizon_n than_o there_o be_v no_o parallax_n of_o longitude_n but_o only_o of_o latitude_n 2._o second_o when_o the_o ecliptic_a pass_v through_o the_o zenith_n there_o be_v no_o parallax_n of_o latitude_n but_o only_o of_o longitude_n 3._o three_o when_o the_o ecliptic_a pass_v not_o through_o the_o zenith_n the_o two_o foresay_a parallax_n shall_v be_v differ_v one_o from_o another_o and_o shall_v not_o fall_v one_o into_o another_o 4._o four_o to_o those_o that_o have_v more_o latitude_n than_o 30_o degree_n the_o moon_n always_o appear_v more_o to_o the_o south_n because_o her_o parallax_n do_v always_o fall_v more_o southerly_a 5._o five_o the_o moon_n from_o her_o rise_n until_o she_o come_v to_o the_o 90_o degree_n appear_v more_o eastward_o but_o from_o the_o 90_o degree_n to_o her_o set_n she_o appear_v more_o westward_n as_o the_o globe_n plain_o show_v how_o to_o know_v whether_o the_o moon_n be_v in_o the_o 90_o degree_n or_o not_o you_o shall_v know_v this_o by_o observe_v the_o horn_n of_o the_o moon_n for_o if_o both_o the_o tip_n of_o the_o horn_n of_o the_o moon_n do_v right_o hang_v one_o over_o another_o by_o a_o perpendicular_a line_n than_o the_o moon_n be_v in_o the_o 90_o degree_n of_o the_o ecliptic_a above_o the_o horizon_n but_o if_o the_o upper_a horn_n do_v more_o incline_v to_o the_o east_n than_o the_o nether_a horn_n do_v than_o the_o moon_n be_v short_a of_o the_o 90_o degree_n but_o if_o the_o upper_a horn_n be_v more_o to_o the_o west_n than_o the_o moon_n be_v pass_v the_o 90_o degree_n and_o here_o i_o end_n with_o the_o description_n of_o the_o parallax_n and_o all_o the_o kind_n thereof_o mind_v now_o to_o treat_v of_o the_o eclipse_n of_o the_o sun_n and_o moon_n which_o be_v meet_v to_o be_v account_v among_o the_o chief_a passion_n of_o these_o two_o planet_n ❀_o of_o the_o eclipse_n of_o the_o sun_n and_o moon_n and_o first_o of_o the_o moon_n though_o this_o word_n eclipse_n may_v be_v general_o take_v for_o the_o hide_v or_o darken_v of_o any_o star_n from_o our_o sight_n yet_o here_o it_o be_v chief_o to_o be_v refer_v to_o the_o eclipse_n of_o the_o sun_n or_o moon_n which_o be_v the_o deprive_v of_o their_o light_n from_o the_o sight_n of_o we_o that_o dwell_v here_o upon_o the_o earth_n but_o first_o we_o will_v treat_v of_o the_o eclipse_n of_o the_o moon_n and_o show_v how_o and_o when_o it_o chance_v the_o moon_n have_v no_o light_n of_o itself_o but_o only_o from_o the_o sun_n be_v never_o eclipse_v but_o when_o the_o earth_n be_v betwixt_o she_o and_o the_o sun_n which_o can_v chance_v but_o when_o the_o moon_n be_v at_o the_o full_a and_o diametral_o opposite_a to_o the_o sun_n and_o also_o when_o such_o opposition_n be_v either_o in_o the_o head_n or_o tail_n of_o the_o dragon_n or_o somewhat_o nigh_o thereunto_o which_o be_v nothing_o else_o but_o two_o section_n of_o two_o circle_n that_o be_v the_o ecliptic_a and_o the_o deferent_a of_o the_o moon_n cut_v one_o another_o in_o two_o opposite_a point_n otherwise_o call_v the_o two_o nodes_fw-la which_o be_v before_o describe_v in_o the_o theoric_n of_o the_o moon_n and_o be_v also_o plain_o declare_v in_o the_o first_o part_n of_o my_o sphere_n chap._n 15._o but_o for_o so_o much_o as_o there_o be_v many_o other_o needful_a thing_n to_o be_v know_v touch_v those_o two_o eclipse_n i_o mind_v here_o to_o treat_v thereof_o more_o at_o large_a and_o first_o of_o the_o eclipse_n of_o the_o moon_n show_v first_o the_o cause_n why_o her_o eclipse_n be_v not_o always_o after_o one_o manner_n second_o what_o shape_n the_o shadow_n of_o the_o earth_n have_v at_o the_o time_n of_o her_o eclipse_n and_o how_o many_o kind_n of_o shadow_n there_o be_v three_o how_o many_o way_n she_o may_v be_v say_v to_o be_v eclipse_v either_o total_o or_o in_o part_n four_o which_o be_v the_o bound_n within_o which_o she_o be_v at_o the_o full_a may_v be_v eclipse_v five_o how_o many_o point_n or_o digit_n she_o may_v be_v eclipse_v six_o what_o thing_n be_v to_o be_v consider_v touch_v the_o durance_n or_o continuance_n of_o her_o eclipse_n &_o how_o they_o be_v define_v and_o last_o at_o what_o part_n the_o moon_n begin_v to_o be_v eclipse_v and_o from_o what_o part_n her_o light_n be_v to_o she_o again_o restore_v the_o cause_n why_o the_o eclipse_n of_o the_o moon_n be_v not_o always_o after_o one_o manner_n but_o variable_a as_o well_o in_o magnitude_n as_o in_o continuance_n be_v these_o four_o here_o follow_v 1._o the_o first_o cause_n be_v the_o unequal_a latitude_n of_o the_o moon_n for_o sometime_o her_o latitude_n be_v very_o little_a or_o nothing_o at_o all_o and_o then_o be_v she_o eclipse_v great_a in_o magnitude_n and_o long_o in_o continuance_n and_o sometime_o her_o latitude_n be_v so_o great_a that_o she_o come_v but_o a_o very_a little_a within_o the_o shadow_n of_o the_o earth_n and_o thereby_o lose_v but_o a_o small_a portion_n of_o her_o light_n and_o sometime_o she_o come_v not_o within_o the_o compass_n of_o the_o shadow_n of_o the_o earth_n at_o all_o and_o so_o she_o be_v not_o eclipse_v for_o this_o be_v a_o general_a rule_n that_o when_o the_o latitude_n of_o the_o moon_n at_o the_o time_n of_o the_o true_a opposition_n of_o the_o moon_n and_o sun_n be_v lesser_a than_o the_o sum_n of_o the_o two_o semidiameter_n that_o be_v of_o the_o shadow_n and_o of_o the_o moon_n body_n be_v add_v together_o there_o will_v be_v a_o eclipse_n of_o the_o moon_n and_o the_o great_a and_o more_o that_o the_o excess_n of_o those_o two_o semidiameter_n of_o the_o moon_n and_o of_o the_o shadow_n be_v than_o her_o latitude_n the_o great_a and_o long_o will_v the_o eclipse_n be_v and_o if_o the_o sum_n of_o those_o two_o semidiameter_n be_v just_a equal_a unto_o the_o latitude_n of_o the_o moon_n than_o she_o shall_v only_o touch_v the_o shadow_n
point_n and_o a_o centre_n for_o though_o every_o centre_n be_v a_o point_n yet_o every_o point_n be_v not_o a_o centre_n again_o i_o make_v a_o difference_n betwixt_o a_o circle_n and_o a_o orb_n for_o though_o they_o be_v like_a in_o that_o they_o both_o have_v round_a shape_n yet_o they_o differ_v in_o that_o the_o orb_n have_v both_o breadth_n and_o thickness_n and_o the_o circle_n have_v neither_o but_o before_o i_o define_v the_o term_n belong_v to_o the_o theoric_n of_o any_o planet_n i_o think_v it_o best_o according_a to_o the_o method_n and_o order_n use_v by_o michael_n mestlyn_n to_o set_v down_o four_o principal_a intention_n meet_v to_o be_v use_v in_o describe_v the_o theoric_n of_o every_o planet_n of_o which_o four_o intention_n 1._o the_o first_o be_v to_o show_v of_o how_o many_o particular_a orb_n every_o theoric_n consist_v 2._o the_o second_o be_v to_o show_v towards_o what_o part_n such_o orb_n be_v move_v and_o in_o what_o time_n they_o make_v their_o revolution_n and_o also_o upon_o what_o centre_n or_o pole_n they_o make_v their_o regular_a move_n 3._o the_o three_o intention_n be_v plain_o to_o describe_v all_o such_o point_n line_n arch_n semicircle_n and_o such_o like_a thing_n as_o be_v needful_a to_o be_v know_v for_o the_o calculate_v of_o the_o move_n of_o any_o planet_n 4._o the_o four_o intention_n be_v to_o show_v how_o much_o latitude_n every_o planet_n have_v latitude_n have_v for_o every_o planet_n have_v latitude_n more_o or_o less_o the_o sun_n only_o except_v which_o have_v no_o latitude_n because_o he_o never_o depart_v from_o the_o ecliptic_a line_n with_o who_o theoric_n i_o mind_v here_o first_o to_o deal_v why_o deal_v you_o first_o with_o the_o theoric_n of_o the_o sun_n for_o four_o cause_n first_o because_o his_o theoric_n be_v more_o easy_a than_o all_o the_o rest_n second_o as_o well_o for_o that_o he_o excel_v in_o dignity_n all_o the_o other_o planet_n as_o also_o for_o that_o the_o move_n of_o all_o the_o other_o planet_n depend_v upon_o his_o move_n which_o unless_o it_o be_v know_v none_o of_o the_o other_o can_v be_v thorough_o know_v three_o for_o that_o the_o move_n &_o revolution_n of_o all_o the_o rest_n of_o the_o planet_n be_v count_v by_o his_o yearly_a revolution_n four_o by_o the_o authority_n of_o ptolomey_n and_o other_o ancient_a writer_n which_o in_o treat_v of_o the_o theoriques_n do_v first_o begin_v with_o the_o theoric_n of_o the_o sun_n now_o here_o follow_v the_o first_o intention_n show_v by_o certain_a figure_n of_o how_o many_o orb_n the_o theoric_n of_o the_o sun_n consist_v that_o be_v of_o three_o orb_n hereafter_o describe_v &_o be_v contain_v in_o this_o figure_n next_o follow_v the_o first_o figure_n belong_v to_o the_o theoric_n of_o the_o sun_n show_v his_o three_o orb_n and_o their_o centre_n and_o also_o the_o two_o point_n call_v auge_n hereafter_o define_v though_o the_o theoric_n of_o the_o sun_n consist_v but_o of_o three_o orb_n yet_o you_o see_v here_o that_o in_o this_o figure_n there_o be_v four_o orb_n or_o circle_n that_o be_v two_o black_a and_o two_o white_a whereof_o the_o upper_a black_a circle_n mark_v with_o the_o letter_n d_o be_v call_v the_o upper_a deferent_a of_o the_o auge_n and_o the_o low_a black_a circle_n mark_v with_o the_o letter_n e._n be_v call_v the_o inferior_a or_o low_a deferent_a of_o the_o auge_n and_o the_o large_a and_o great_a white_a circle_n mark_v with_o the_o letter_n c._n be_v call_v the_o excentricke_a or_o deferent_a of_o the_o sun_n have_v the_o body_n of_o the_o sun_n fix_v therein_o and_o in_o the_o middle_n white_a roundle_n be_v set_v down_o two_o prick_v or_o centre_n whereof_o that_o which_o be_v mark_v with_o the_o letter_n a._n be_v the_o centre_n of_o the_o world_n and_o the_o other_o next_o above_o that_o mark_v with_o the_o letter_n b._n be_v the_o centre_n of_o the_o deferent_a of_o the_o sun_n otherwise_o call_v the_o excentricke_a and_o the_o point_n which_o be_v in_o the_o upper_a limb_n of_o the_o deferent_a of_o the_o sun_n mark_v with_o the_o letter_n f._n be_v call_v in_o the_o arabike_a tongue_n aux_fw-fr in_o greek_a apogaeon_n in_o latin_a absis_fw-la summa_fw-la that_o be_v to_o say_v the_o high_a point_n which_o i_o mean_v to_o call_v in_o our_o tongue_n in_o the_o singular_a number_n auge_n and_o in_o the_o plural_a number_n auge_n the_o opposite_a point_n whereof_o mark_v with_o the_o letter_n g._n be_v call_v in_o greek_a perigaeon_n and_o in_o latin_a absis_fw-la ima_fw-la that_o be_v to_o say_v the_o low_a auge_n it_o be_v also_o call_v oppositum_fw-la augis_fw-la that_o be_v the_o point_n opposite_a to_o the_o auge_n so_o as_o by_o this_o figure_n you_o may_v perceive_v that_o the_o point_n auge_n be_v a_o point_n in_o the_o deferent_a of_o the_o sun_n far_a distant_a from_o the_o centre_n of_o the_o earth_n and_o therefore_o be_v call_v of_o some_o longior_fw-la longitudo_fw-la that_o be_v the_o far_a longitude_n mark_v in_o the_o former_a figure_n with_o the_o letter_n f_o and_o the_o opposite_a point_n to_o that_o be_v call_v propior_fw-la longitude_n that_o be_v the_o nigh_a longitude_n because_o it_o be_v nigh_a to_o the_o centre_n of_o the_o earth_n and_o be_v mark_v in_o the_o say_a figure_n with_o the_o letter_n g._n there_o be_v also_o in_o the_o say_v deferent_a two_o other_o point_n of_o the_o mean_a longitude_n whereof_o we_o shall_v speak_v hereafter_o you_o see_v also_o that_o the_o prick_n mark_v with_o the_o letter_n a._n be_v the_o centre_n of_o the_o world_n &_o that_o the_o other_o prick_n mark_v with_o the_o letter_n b._n be_v the_o centre_n of_o the_o deferent_a of_o the_o sun_n which_o because_o it_o be_v out_o of_o the_o centre_n of_o the_o world_n and_o distant_a from_o the_o same_o it_o be_v call_v the_o centre_n of_o the_o excentricke_a and_o the_o distance_n betwixt_o these_o two_o centre_n be_v call_v in_o latin_a excentricita●_n and_o i_o likewise_o from_o henceforth_o will_v call_v such_o distance_n the_o excentricity_n now_o describe_v the_o three_o foresay_a circle_n or_o orb_n and_o show_v whereto_o they_o serve_v the_o first_o call_v the_o orb_n excentricke_a which_o in_o the_o former_a figure_n be_v make_v white_a and_o mark_v with_o the_o letter_n c._n be_v that_o which_o carry_v the_o body_n of_o the_o sun_n and_o therefore_o be_v call_v in_o latin_a deferens_fw-la solis_fw-la and_o i_o will_v also_o call_v it_o the_o deferent_a of_o the_o sun_n in_o the_o uttermost_a circumference_n whereof_o be_v set_v the_o foresay_a two_o auge_n the_o one_o right_a opposite_a to_o the_o other_o mark_v with_o the_o letter_n f._n g._n as_o before_o be_v say_v the_o other_o two_o black_a orb_n mark_v with_o the_o letter_n d._n e._n be_v those_o which_o carry_v the_o auge_n &_o therefore_o be_v call_v the_o deferent_n of_o the_o auge_n which_o be_v two_o several_a orb_n and_o yet_o to_o avoid_v vacuum_n do_v enclose_v one_o another_o in_o such_o sort_n as_o the_o slender_a or_o narrow_a part_n of_o the_o uppermost_a orb_n mark_v with_o the_o letter_n d._n do_v join_v close_o to_o the_o thick_a or_o full_a part_n of_o the_o nether_a orb_n mark_v with_o the_o letter_n e._n and_o the_o slender_a or_o narrow_a part_n of_o the_o nether_a orb_n join_v close_o to_o the_o thick_a or_o full_a part_n of_o the_o upper_a orb_n and_o these_o two_o orb_n do_v contain_v within_o they_o the_o orbe_fw-la excentrique_fw-la or_o deferent_a of_o the_o sun_n and_o also_o do_v make_v the_o whole_a sphere_n of_o the_o sun_n to_o be_v concentrique_fw-la that_o be_v to_o say_v to_o have_v all_o one_o centre_n with_o the_o centre_n of_o the_o world_n and_o yet_o in_o certain_a respect_n these_o two_o orb_n be_v also_o excentrique_fw-la that_o be_v to_o say_v have_v a_o centre_n distant_a from_o the_o centre_n of_o the_o world_n for_o the_o concave_a superficies_n of_o the_o uppermost_a black_a orb_n and_o the_o convexe_a superficies_n of_o the_o nethermost_a black_a orb_n be_v several_o take_v have_v the_o self_n same_o centre_n which_o the_o deferent_a of_o the_o sun_n have_v which_o be_v the_o centre_n excentricke_a mark_v with_o the_o letter_n b._n all_o which_o thing_n the_o former_a figure_n do_v plain_o show_v wherefore_o be_v the_o deferent_a of_o the_o sun_n suppose_v to_o be_v excentrique_fw-la for_o three_o principal_a cause_n first_o for_o that_o the_o move_n of_o the_o sun_n be_v unequal_a now_o slow_a now_o swift_a second_o for_o that_o the_o body_n of_o the_o sun_n by_o his_o unequal_a distance_n from_o the_o earth_n seem_v to_o our_o sight_n sometime_o great_a and_o sometime_o lesser_a the_o grossness_n or_o thinness_n of_o the_o air_n be_v no_o cause_n thereof_o three_o for_o that_o the_o sun_n be_v in_o this_o
or_o that_o part_n of_o the_o zodiac_n the_o eclipse_n of_o the_o moon_n continue_v long_a or_o short_a time_n so_o as_o she_o abide_v under_o the_o shadow_n of_o the_o earth_n more_o one_o time_n than_o another_o all_o which_o thing_n be_v salve_v by_o suppose_v a_o excentricke_a be_v the_o deferent_a of_o the_o sun_n and_o the_o circle_n excentrique_fw-la ownself_o thing_n no_o for_o though_o they_o have_v both_o oneself_o centre_n call_v the_o centre_n of_o the_o excentrique_fw-la yet_o the_o circle_n excentricke_a be_v the_o circumference_n of_o a_o circle_n imagine_v to_o be_v in_o the_o middle_n of_o the_o deferent_a &_o be_v describe_v by_o the_o centre_n of_o the_o sun_n body_n devide_v the_o deferent_a into_o two_o equal_a part_n or_o hemisphere_n as_o you_o may_v see_v in_o the_o second_o figure_n next_o follow_v the_o second_o intention_n show_v what_o move_v these_o orb_n and_o circle_n before_o mention_v have_v and_o upon_o what_o pole_n and_o axletree_n they_o be_v turn_v about_o before_o i_o come_v to_o the_o declaration_n thereof_o it_o shall_v be_v necessary_a to_o set_v down_o one_o other_o figure_n contain_v the_o most_o part_n of_o such_o line_n point_n centre_n circle_n semicircle_n and_o arch_n as_o do_v belong_v to_o the_o theoric_n of_o the_o sun_n and_o to_o show_v what_o they_o signify_v i_o say_v here_o before_o the_o most_o part_n because_o both_o these_o &_o all_o the_o rest_n shall_v be_v more_o full_o declare_v when_o we_o come_v to_o the_o three_o intention_n who_o office_n be_v to_o show_v all_o such_o thing_n at_o the_o full_a ¶_o the_o second_o figure_n belong_v to_o the_o theoric_n of_o the_o sun_n in_o this_o figure_n the_o outermost_a white_a orb_n signify_v the_o zodiac_n in_o which_o be_v describe_v the_o character_n of_o the_o twelve_o sign_n and_o the_o next_o white_a orb_n within_o that_o be_v the_o deferent_a of_o the_o sun_n in_o which_o be_v a_o little_a circle_n represent_v the_o body_n of_o the_o sun_n who_o centre_n be_v mark_v with_o the_o letter_n h._n and_o the_o two_o black_a orb_n be_v the_o two_o deferent_n of_o the_o auge_n of_o the_o sun_n before_o describe_v and_o in_o the_o middle_n white_a rundle_n be_v set_v down_o the_o two_o centre_n before_o describe_v that_o be_v the_o centre_n of_o the_o world_n mark_v with_o the_o letter_n a._n and_o the_o centre_n of_o the_o deferent_a of_o the_o sun_n mark_v with_o the_o letter_n b._n moreover_o in_o this_o figure_n be_v draw_v certain_a right_a line_n whereof_o the_o long_a perpendicule_a line_n pass_v through_o both_o the_o foresay_a centre_n mark_v with_o the_o letter_n c._n d._n be_v call_v the_o line_n of_o the_o auge_n and_o the_o overthwart_a line_n pass_v through_o the_o centre_n of_o the_o world_n to_o the_o zodiac_n mark_v with_o the_o letter_n e._n f._n signify_v the_o axe_n tree_n of_o the_o zodiac_n who_o outermost_a end_n be_v the_o pole_n of_o the_o ecliptic_n then_o there_o be_v another_o overthwart_a right_a line_n parallel_n to_o the_o foresay_a line_n e._n f._n which_o pass_v through_o the_o centre_n excentrique_fw-la extend_v unto_o the_o deferent_a of_o the_o sun_n from_o the_o one_o side_n to_o the_o other_o side_n thereof_o who_o outermost_a end_n be_v the_o pole_n of_o the_o say_v deferent_a mark_v with_o the_o letter_n k._n l._n beside_o these_o three_o line_n there_o be_v three_o other_o line_n whereof_o that_o which_o pass_v from_o the_o centre_n of_o the_o world_n to_o the_o zodiac_n mark_v with_o the_o letter_n a._n g._n be_v call_v the_o line_n of_o the_o sun_n mean_v move_v then_o there_o be_v another_o line_n parallel_n to_o that_o which_o pass_v from_o the_o centre_n of_o the_o deferent_a to_o the_o centre_n or_o midst_n of_o the_o sun_n body_n mark_v with_o the_o letter_n b._n h._n and_o the_o three_o line_n pass_v from_o the_o centre_n of_o the_o world_n through_o the_o midst_n of_o the_o sun_n body_n even_o to_o the_o zodiac_n be_v call_v the_o line_n of_o the_o sun_n true_a move_n mark_v with_o the_o letter_n a._n h._n i._n there_o be_v also_o in_o this_o figure_n certain_a portion_n of_o circle_n call_v arch_n which_o have_v their_o proper_a signification_n as_o the_o arch_n of_o the_o zodiac_n contain_v betwixt_o the_o first_o point_n of_o aries_n and_o the_o line_n of_o the_o auge_n mark_v with_o the_o letter_n e._n c._n be_v call_v the_o auge_n of_o the_o sun_n in_o his_o second_o signification_n and_o the_o arch_n contain_v betwixt_o e._n and_o g._n be_v call_v the_o mean_a move_n of_o the_o sun_n and_o the_o arch_n contain_v betwixt_o e._n and_o i._o be_v call_v the_o true_a move_n of_o the_o sun_n and_o the_o arch_n contain_v betwixt_o g._n and_o i._o be_v call_v the_o equation_n of_o the_o sun_n and_o the_o arch_n contain_v betwixt_o the_o line_n of_o the_o mean_a move_n of_o the_o sun_n and_o the_o line_n of_o the_o auge_n mark_v with_o the_o letter_n c._n g._n be_v call_v of_o some_o argumentum_fw-la and_o of_o some_o anomalia_fw-la that_o be_v the_o inequality_n of_o the_o sun_n move_v all_o which_o arch_n shall_v be_v more_o full_o show_v and_o declare_v in_o the_o three_o figure_n next_o follow_v there_o be_v also_o in_o this_o figure_n three_o little_a semicircle_n whereof_o the_o two_o mark_v with_o the_o letter_n k._n p._n and_o l._n m._n do_v signify_v those_o circle_n which_o the_o pole_n of_o the_o excentrique_fw-la do_v describe_v by_o the_o move_n of_o the_o two_o deferent_n of_o the_o auge_n and_o the_o three_o semicircle_n mark_v with_o the_o letter_n b._n n._n signify_v that_o circle_n which_o the_o centre_n of_o the_o excentrique_fw-la describe_v by_o the_o move_n of_o the_o say_a deferent_n of_o the_o auge_n about_o the_o centre_n of_o the_o world_n the_o semidiameter_n of_o all_o which_o circle_n be_v equal_a do_v the_o theoric_n of_o the_o sun_n only_o consist_v of_o the_o three_o orb_n about_o mention_v that_o be_v of_o the_o deferent_a of_o the_o sun_n and_o of_o the_o two_o deferent_n of_o the_o auge_n though_o the_o ancient_a astronomer_n do_v appoint_v no_o more_o but_o those_o three_o yet_o copernicus_n have_v find_v by_o many_o observation_n make_v by_o himself_o and_o other_o since_o their_o time_n that_o the_o auge_n of_o the_o sun_n do_v move_v unequal_o and_o that_o the_o excentricity_n do_v alter_v he_o therefore_o to_o salve_v that_o appearance_n do_v add_v another_o orb_n call_v the_o excentor_n of_o the_o excentrique_fw-la which_o indeed_o be_v two_o shadow_v orb_n enclose_v one_o another_o like_o as_o the_o two_o black_a orb_n do_v the_o shape_n whereof_o you_o may_v see_v plain_o express_v in_o the_o sphere_n of_o mercury_n hereafter_o follow_v now_o show_v how_o the_o foresay_a three_o orb_n be_v move_v and_o first_o how_o the_o excentrique_fw-la of_o the_o sun_n be_v move_v and_o in_o what_o time_n he_o make_v his_o revolution_n the_o excentrique_fw-la or_o deferent_a of_o the_o sun_n be_v regular_o move_v upon_o his_o own_o centre_n according_a to_o the_o succession_n of_o 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 the_o daily_a move_n of_o the_o sun_n be_v count_v from_o the_o first_o star_n of_o the_o ram_n horn_n be_v i59·_fw-la ii8·_fw-la iii11·_fw-la iiii22·_fw-la v._o 10·_fw-la so_o as_o his_o yearly_a revolution_n contain_v 365_o day_n 6_o hour_n i9·_n and_o ii39·_fw-la and_o this_o be_v call_v the_o syderall_a year_n the_o pole_n of_o this_o orb_n do_v equal_o observe_v the_o pole_n of_o the_o ecliptic_n and_o therefore_o the_o centre_n of_o the_o sun_n body_n do_v never_o swerve_v from_o the_o ecliptic_a line_n why_o do_v not_o this_o orb_n also_o carry_v the_o sun_n equal_o about_o the_o centre_n of_o the_o world_n because_o that_o every_o circular_a move_n that_o be_v equal_a make_v in_o equal_a time_n in_o his_o circumference_n both_o equal_a arch_n and_o also_o equal_a
we_o very_o well_o to_o follow_v therein_o the_o first_o intention_n show_v of_o how_o many_o orb_n the_o theoric_n of_o the_o moon_n consist_v it_o consist_v of_o these_o five_o whereof_o the_o first_o be_v the_o excentrique_fw-la carry_v the_o epicicle_n then_o the_o two_o deferent_n of_o the_o auge_n and_o the_o four_o be_v the_o epicicle_n carry_v the_o body_n of_o the_o moon_n but_o both_o copernicus_n and_o maginus_fw-la do_v appoint_v to_o the_o moon_n two_o epicicle_n that_o be_v the_o first_o and_o second_o epicicle_n as_o shall_v be_v declare_v and_o demonstrate_v hereafter_o in_o my_o extract_n out_o of_o maginu●_n his_o theoriques_n and_o the_o five_o be_v the_o orb_n equant_fw-la environ_v all_o the_o rest_n of_o the_o orbs._n all_o which_o orb_n you_o may_v see_v plain_o set_v down_o in_o the_o figure_n next_o follow_v and_o also_o the_o two_o centre_n the_o one_o of_o the_o world_n &_o the_o other_o of_o the_o excentrique_fw-la by_o help_n of_o eight_o letter_n set_v down_o also_o in_o the_o say_a figure_n that_o be_v a._n b._n c._n d._n e._n f._n g._n h._n ¶_o the_o first_o figure_n belong_v to_o the_o theoric_n of_o the_o moon_n in_o this_o figure_n the_o letter_n a._n signify_v the_o centre_n of_o the_o world_n and_o b._n the_o centre_n of_o the_o excentrique_fw-la which_o centre_n in_o go_v about_o the_o centre_n of_o the_o world_n describe_v a_o little_a circle_n mark_v with_o the_o letter_n b._n h._n and_o c._n signify_v the_o orbe_fw-la excentrique_fw-la who_o middle_a line_n be_v describe_v by_o the_o centre_n of_o the_o epicicle_n be_v special_o to_o be_v observe_v in_o demonstrate_v the_o motion_n of_o the_o moon_n d._n signify_v the_o upper_a deferent_a of_o the_o auge_n e._n signify_v the_o nether_a deferent_a of_o the_o auge_n f._n signify_v the_o epicicle_n whereunto_o the_o body_n of_o the_o moon_n be_v fix_v g._n signify_v the_o orbe_fw-la equant_fw-la which_o be_v the_o outermost_a white_a orb_n and_o be_v otherwise_o call_v the_o circle_n or_o deferent_a of_o the_o two_o nod_n or_o section_n signify_v the_o head_n and_o tail_n of_o the_o dragon_n why_o do_v the_o astronomer_n appoint_v unto_o the_o theoric_n of_o the_o moon_n a_fw-fr orbe_fw-la excentrique_fw-la because_o the_o equation_n of_o the_o epicicle_n which_o the_o excentrique_fw-la carry_v be_v observe_v to_o be_v somewhere_o great_a and_o somewhere_o lesser_a as_o shall_v be_v declare_v hereafter_o in_o the_o five_o figure_n belong_v to_o the_o theoric_n of_o the_o moon_n and_o this_o appearance_n be_v to_o be_v salve_v by_o suppose_v a_o excentrique_fw-la wherefore_o be_v the_o deferent_n of_o the_o auge_n add_v to_o the_o theoric_n of_o the_o moon_n for_o the_o selfsame_o cause_n which_o be_v before_o set_v down_o in_o the_o theoric_n of_o the_o sun_n why_o be_v the_o epicicle_n suppose_v to_o be_v needful_a in_o this_o theoric_n for_o two_o cause_n first_o because_o the_o moon_n have_v another_o inequality_n in_o her_o move_n whereunto_o one_o only_a excentrique_fw-la can_v supply_v for_o in_o like_a and_o self-same_a place_n the_o motion_n of_o the_o moon_n be_v find_v to_o be_v sometime_o swift_a and_o sometime_o flower_n second_o because_o the_o moon_n other_o thing_n be_v like_o be_v observe_v to_o be_v sometime_o high_a from_o the_o earth_n and_o sometime_o low_o which_o be_v to_o be_v see_v as_o well_o by_o the_o apparent_a magnitude_n of_o her_o body_n as_o also_o by_o the_o continuance_n and_o quantity_n of_o her_o eclipse_n why_o be_v it_o needful_a to_o add_v to_o this_o theoric_n the_o orb_n equant_fw-la for_o two_o cause_n first_o that_o the_o variety_n of_o the_o moon_n latitude_n may_v be_v salve_v thereby_o second_o that_o the_o move_n of_o the_o excentrique_fw-la which_o be_v find_v to_o be_v irregular_a about_o his_o own_o centre_n may_v be_v equate_v or_o make_v equal_a by_o the_o centre_n of_o this_o circle_n be_v as_o it_o be_v the_o very_a point_n of_o equation_n and_o thereof_o it_o be_v call_v the_o circle_n equant_fw-la wherefore_o be_v this_o circle_n make_v to_o environ_v all_o the_o rest_n of_o the_o orb_n though_o as_o touch_v the_o demonstration_n of_o the_o mooving_n it_o make_v no_o great_a matter_n whether_o this_o orb_n be_v without_o or_o within_o the_o rest_n of_o the_o orb_n yet_o since_o that_o by_o carry_v about_o the_o nodes_fw-la and_o limit_n of_o the_o two_o latitude_n of_o the_o sphere_n of_o the_o moon_n and_o that_o by_o this_o motion_n the_o whole_a composition_n of_o the_o moon_n sphere_n do_v alter_v it_o be_v more_o meet_a that_o this_o orb_n shall_v compass_v in_o all_o the_o rest_n than_o to_o be_v compass_v of_o they_o for_o it_o be_v more_o likely_a that_o the_o inferior_a orb_n be_v move_v and_o turn_v about_o of_o his_o superior_a than_o the_o superior_a of_o the_o inferior_a the_o second_o intention_n show_v towards_o what_o part_n such_o orb_n be_v move_v and_o in_o what_o time_n such_o orb_n make_v their_o revolution_n and_o also_o upon_o what_o centre_n or_o pole_n they_o make_v their_o regular_a move_n and_o first_o how_o and_o in_o what_o manner_n the_o excentrique_fw-la of_o the_o moon_n carry_v the_o epicicle_n be_v move_v the_o excentrique_fw-la of_o the_o moon_n be_v equal_o move_v about_o the_o centre_n of_o the_o world_n according_a to_o the_o succession_n of_o the_o sign_n and_o about_o his_o own_o pole_n which_o be_v distant_a on_o both_o side_n from_o the_o pole_n of_o the_o ecliptic_a five_o degree_n make_v his_o revolution_n in_o the_o space_n of_o one_o month_n and_o by_o this_o move_n it_o carry_v about_o the_o centre_n of_o the_o epicicle_n equal_o through_o the_o zodiac_n and_o the_o daily_a move_n of_o this_o excentrique_fw-la or_o of_o the_o centre_n of_o the_o epicicle_n under_o the_o zodiac_n be_v 13_o degree_n i10·_fw-la ii35·_fw-la iii1·_fw-la iiii7·_fw-la v._o 22·_fw-la so_o as_o his_o whole_a revolution_n be_v make_v in_o 27_o day_n seven_o hour_n i43·_fw-la ii5·_fw-la iii8·_fw-la and_o so_o much_o be_v the_o perodicall_a month_n which_o be_v otherwise_o call_v of_o john_n de_fw-fr sacro_fw-la busto_n the_o month_n of_o peragration_n whereof_o i_o have_v speak_v in_o my_o treatise_n of_o the_o sphere_n in_o the_o 46_o chapter_n of_o the_o first_o book_n thereof_o what_o follow_v of_o this_o inequality_n of_o the_o excentrique_fw-la two_o thing_n first_o since_o that_o the_o astronomer_n by_o often_o observation_n have_v find_v that_o the_o orb_n eccentric_a or_o centre_n of_o the_o epicicle_n do_v equal_o turn_v about_o the_o centre_n of_o the_o world_n it_o must_v needs_o follow_v that_o the_o move_n of_o the_o say_v excentrique_fw-la be_v unequal_a as_o well_o about_o his_o own_o centre_n as_o about_o any_o other_o point_n clean_o contrary_a to_o that_o which_o have_v be_v say_v touch_v the_o move_n of_o the_o excentrique_fw-la or_o deferent_a of_o the_o sun_n second_o the_o move_a of_o this_o excentrique_fw-la be_v swift_a when_o the_o centre_n of_o the_o epicicle_n be_v in_o the_o upper_a part_n nigh_o unto_o the_o auge_n for_o a_o great_a portion_n thereof_o do_v belong_v to_o the_o equal_a arch_n of_o the_o zodiac_n when_o she_o be_v nigh_o to_o the_o auge_n than_o when_o she_o be_v nigh_o to_o the_o opposite_a point_n of_o the_o auge_n which_o thing_n do_v plain_o appear_v in_o the_o three_o and_o last_o figure_n belong_v to_o the_o theoric_n of_o the_o sun_n before_o describe_v in_o which_o figure_n suppose_v the_o letter_n f._n h._n g._n to_o represent_v the_o excentrique_fw-la of_o the_o moon_n who_o move_v because_o it_o be_v equal_a about_o the_o centre_n a._n must_v needs_o be_v unequal_a about_o the_o centre_n b._n moreover_o because_o the_o mediety_n or_o half_n of_o the_o zodiac_n divide_v by_o the_o right_a line_n e._n a._n h._n k._n be_v turn_v about_o in_o equal_a time_n so_o as_o the_o great_a portion_n of_o the_o excentrique_fw-la be_v answerable_a to_o the_o upper_a half_n &_o the_o lesser_a portion_n to_o the_o nether_a half_n it_o easy_o appear_v that_o the_o centre_n of_o the_o epicicle_n make_v in_o his_o move_v a_o great_a bent_n or_o bout_n upward_o and_o a_o lesser_a downward_o that_o be_v to_o say_v it_o go_v fast_a being_n in_o the_o upper_a half_n than_o when_o it_o be_v in_o the_o nether_a half_n how_o be_v the_o deferent_n of_o the_o auge_n of_o the_o moon_n move_v they_o be_v equal_o move_v contrary_a to_o the_o succession_n of_o the_o sign_n about_o the_o centre_n of_o the_o world_n &_o about_o the_o same_o pole_n that_o the_o excentrique_fw-la be_v and_o do_v make_v their_o revolution_n almost_o in_o 32_o day_n and_o by_o this_o move_n they_o carry_v about_o the_o point_n auge_n or_o the_o whole_a line_n of_o the_o auge_n equal_o through_o the_o zodiac_n contrary_a to_o the_o succession_n of_o the_o sign_n and_o they_o also_o cause_v the_o
what_o manner_n be_v the_o epicicle_n of_o mercury_n move_v the_o epicicle_n of_o mercury_n in_o the_o upper_a part_n be_v move_v according_a to_o the_o succession_n of_o the_o sign_n and_o in_o the_o nether_a part_n contrary_a to_o the_o succession_n of_o the_o sign_n about_o his_o own_o moovable_a axletree_n stand_v slopewise_o upon_o the_o plane_n of_o the_o excentrique_fw-la and_o it_o be_v equal_o move_v from_o the_o mean_a auge_n make_v his_o revolution_n almost_o in_o 4_o month_n and_o his_o daily_a move_n contain_v 3_o degree_n i6°_n ii●4_n iii14°_n iiii5°_n u16°_n so_o as_o it_o make_v one_o period_n in_o 115_o day_n 21_o hour_n i●°_n ii20°_n iii54°_n how_o be_v the_o mean_a auge_n of_o this_o epicicle_n describe_v it_o be_v describe_v by_o a_o right_a line_n draw_v from_o the_o centre_n of_o the_o equant_fw-la and_o pass_v through_o the_o centre_n of_o the_o epicicle_n even_o to_o the_o circumference_n thereof_o what_o conclusion_n be_v to_o be_v gather_v hereof_o first_o that_o the_o epicicle_n of_o mercury_n contrary_a to_o that_o which_o happen_v in_o the_o three_o upper_a planet_n and_o also_o in_o venus_n be_v slow_a of_o gate_n in_o the_o upper_a part_n of_o the_o excentrique_fw-la &_o quick_a of_o gate_n in_o the_o low_a part_n of_o the_o excentrique_fw-la because_o the_o centre_n of_o the_o equant_fw-la in_o this_o theoric_n of_o mercury_n approach_v nigh_a to_o the_o opposite_a auge_n but_o in_o the_o other_o planet_n last_o name_v the_o centre_n of_o their_o equant_fw-la approach_v nigh_a to_o the_o auge_n second_o when_o the_o centre_n of_o the_o epicicle_n be_v in_o the_o line_n of_o the_o auge_n than_o both_o the_o mean_a and_o true_a auge_n of_o the_o epicicle_n and_o also_o the_o point_n of_o concavitie_n be_v all_o three_o unite_v together_o in_o oneself_o line_n yea_o the_o mean_a auge_n and_o also_o the_o point_n of_o concavitie_n be_v again_o unite_v when_o the_o centre_n of_o the_o epicicle_n be_v in_o any_o of_o the_o two_o point_n of_o next_o approach_n to_o the_o earth_n mark_v in_o the_o former_a second_o figure_n with_o the_o letter_n h_o k_o and_o from_o thence_o above_o those_o point_n of_o next_o approach_n towards_o the_o auge_n of_o the_o excentrique_fw-la the_o mean_a auge_n of_o the_o epicicle_n be_v always_o in_o the_o midst_n betwixt_o the_o true_a auge_n and_o the_o point_n of_o concavitie_n but_o beneath_o the_o foresay_a point_n of_o next_o approach_n towards_o the_o opposite_a auge_n of_o the_o excentrique_fw-la the_o point_n of_o concavitie_n be_v in_o the_o midst_n of_o the_o mean_a and_o true_a auge_n of_o the_o epicicle_n the_o demonstration_n whereof_o for_o brevity_n sake_n i_o do_v here_o omit_v what_o harmony_n or_o agreement_n be_v there_o betwixt_o mercury_n and_o the_o sun_n mercurie_n as_o well_o as_o venus_n in_o the_o periodicall_a move_n of_o their_o excentrique_fw-la do_v follow_v the_o sun_n for_o the_o revolution_n of_o mercury_n agree_v most_o exact_o with_o the_o excentrique_fw-la of_o the_o sun_n and_o hereto_o you_o may_v also_o add_v that_o the_o excentor_n of_o the_o excentrique_fw-la of_o mercury_n make_v his_o revolution_n together_o with_o the_o excentrique_fw-la of_o the_o sun_n not_o simple_o but_o in_o have_v respect_n to_o the_o mean_a auge_n of_o mercury_n or_o of_o the_o equant_fw-la yea_o and_o moreover_o according_a to_o the_o late_a observation_n and_o special_a conclusion_n touch_v the_o orb_n of_o the_o sun_n whereof_o we_o have_v speak_v before_o in_o the_o theoric_n of_o the_o sun_n mercury_n touch_v so_o much_o as_o appertain_v to_o his_o move_a according_a to_o longitude_n agree_v with_o the_o theoric_n of_o the_o sun_n both_o in_o number_n and_o in_o like_a disposition_n or_o place_v of_o the_o orb_n and_o also_o in_o the_o quality_n of_o the_o move_n of_o the_o say_a orb_n for_o according_a to_o copernicus_n there_o be_v in_o both_o theoriques_n a_o excentor_n of_o the_o excentrique_fw-la go_v contrary_a to_o the_o succession_n of_o the_o sign_n whereby_o the_o mean_a auge_n be_v on_o both_o side_n most_o distant_a from_o the_o true_a auge_n and_o cause_v the_o excentricity_n to_o be_v mutable_a what_o conclusion_n do_v follow_v of_o this_o harmony_n these_o here_o follow_v for_o first_o you_o have_v to_o note_v that_o the_o sun_n and_o mercury_n and_o also_o venus_n be_v always_o join_v together_o in_o their_o mean_a move_n and_o as_o they_o have_v all_o three_o ownself_o mean_v move_a so_o they_o must_v needs_o have_v also_o oneself_o line_n of_o their_o mean_a move_n and_o hereof_o it_o follow_v that_o neither_o mercury_n nor_o venus_n can_v depart_v from_o the_o sun_n any_o further_a than_o the_o bigness_n of_o their_o epicile_fw-la will_v suffer_v they_o moreover_o look_v how_o much_o the_o sun_n proceed_v forward_o from_o the_o mean_a auge_n of_o mercury_n so_o much_o the_o centre_n of_o mercury_n excentrique_fw-la go_v backward_a in_o the_o little_a circle_n how_o be_v the_o orb_n belong_v to_o the_o sphere_n of_o mercury_n to_o be_v measure_v of_o such_o like_a part_n as_o the_o semidiameter_n of_o the_o excentrique_fw-la mark_v with_o the_o letter_n d_o a_o or_o with_o p_o h_n in_o the_o former_a figure_n contain_v 60_o part_n the_o excentricity_n of_o the_o equant_fw-la mark_v in_o the_o say_a figure_n with_o the_o letter_n c_o d_o contain_v according_a to_o ptolomey_n three_o part_n and_o the_o great_a excentricity_n of_o the_o excentrique_fw-la mark_v with_o the_o letter_n c_o f_o contain_v 9_o such_o part_n and_o the_o line_n of_o the_o auge_n mark_v with_o c_o n_o contain_v 69_o such_o part_n or_o degree_n and_o the_o line_n of_o the_o opposite_a auge_n mark_v with_o c_o q_o such_o as_o it_o be_v then_o contain_v 51_o degree_n but_o when_o the_o centre_n of_o the_o epicicle_n be_v in_o the_o very_a opposite_a auge_n itself_o mark_v with_o d_o than_o the_o line_n of_o the_o say_v opposite_a auge_n mark_v with_o c_o b_o contain_v 57_o part_n but_o the_o line_n of_o the_o nigh_a approach_n mark_v on_o the_o left_a side_n of_o the_o former_a figure_n with_o c_o h_n and_o on_o the_o right_a side_n with_o c_o k_o be_v say_v to_o contain_v 55_o degree_n and_o i3°_n and_o so_o the_o semidiameter_n of_o the_o epicicle_n contain_v 22_o degree_n and_o i30°_n hereof_o it_o follow_v that_o the_o great_a distance_n of_o mercury_n be_v place_v in_o the_o auge_n of_o his_o excentrique_fw-la and_o of_o his_o epicicle_n contain_v 91_o degree_n and_o i30°_n and_o if_o his_o excentricity_n do_v continue_v always_o fix_v and_o unmoovable_a the_o altitude_n of_o mercury_n be_v in_o the_o opposite_a auge_n of_o those_o orb_n shall_v be_v 28_o degree_n and_o i30°_n and_o though_o that_o mercury_n himself_o with_o his_o body_n do_v never_o descend_v so_o far_o for_o such_o cause_n as_o be_v before_o declare_v yet_o it_o be_v necessary_a that_o this_o capacity_n be_v attribute_v to_o his_o orb_n and_o when_o mercury_n be_v in_o any_o of_o the_o point_n of_o nigh_a approach_n than_o his_o least_o altitude_n be_v 33_o degree_n and_o i4°_n the_o three_o intention_n show_v what_o point_n line_n and_o arch_n be_v meet_v to_o be_v know_v in_o the_o theoric_n of_o mercury_n in_o all_o these_o thing_n mercury_n agree_v with_o venus_n and_o with_o the_o three_o upper_a planet_n which_o be_v already_o set_v down_o in_o those_o theoriques_n need_v not_o here_o again_o to_o be_v rehearse_v &_o therefore_o resort_v to_o the_o three_o intention_n as_o well_o of_o the_o three_o upper_a planet_n as_o to_o that_o of_o venus_n in_o the_o table_n as_o well_o of_o ptolomey_n as_o in_o those_o of_o alphonsus_n and_o of_o their_o follower_n the_o equation_n of_o the_o argument_n be_v count_v at_o that_o place_n of_o the_o excentrique_fw-la in_o which_o the_o distance_n of_o the_o centre_n of_o the_o epicicle_n from_o the_o earth_n be_v equal_a unto_o the_o semidiameter_n of_o the_o excentrique_fw-la and_o to_o these_o equation_n may_v be_v add_v the_o excess_n of_o the_o long_a longitude_n and_o also_o the_o excess_n of_o the_o nigh_a longitude_n not_o that_o when_o the_o planet_n be_v in_o the_o very_a opposite_a auge_n but_o when_o he_o be_v in_o any_o of_o the_o two_o point_n of_o nigh_a approach_n to_o these_o equation_n also_o may_v be_v refer_v the_o proportional_a minute_n both_o long_o and_o nigh_o the_o equation_n of_o the_o parallax_n or_o of_o the_o epicicle_n which_o be_v set_v down_o in_o the_o prutenicall_a table_n do_v appertain_v to_o the_o auge_n of_o the_o equant_fw-la but_o the_o excess_n do_v belong_v to_o the_o point_n of_o next_o approach_n mark_v in_o the_o second_o figure_n with_o the_o letter_n h_o k._n what_o this_o word_n parallax_n do_v signify_v shall_v be_v declare_v hereafter_o and_o you_o have_v to_o understand_v that_o the_o great_a equation_n of_o the_o centre_n contain_v 3_o
which_o they_o usual_o observe_v be_v the_o time_n of_o incidence_n which_o be_v nothing_o else_o but_o the_o quantity_n of_o time_n which_o the_o moon_n spend_v while_o she_o be_v in_o go_v of_o the_o say_a minute_n of_o incidence_n both_o which_o two_o thing_n you_o shall_v easy_o find_v as_o also_o the_o minute_n of_o repletion_n by_o the_o 63_o precept_n of_o the_o prutenicall_a table_n and_o as_o the_o eclipse_n of_o the_o moon_n do_v begin_v on_o the_o east_n side_n of_o her_o body_n and_o end_v on_o the_o west_n side_n thereof_o even_o so_o the_o eclipse_n of_o the_o sun_n begin_v on_o the_o west_n side_n of_o his_o body_n and_o end_v on_o the_o east_n which_o happen_v by_o the_o motion_n of_o the_o moon_n which_o motion_n be_v from_o west_n to_o east_n and_o if_o the_o eclipse_n of_o the_o sun_n be_v partial_a and_o the_o apparent_a latitude_n of_o the_o moon_n be_v north_n then_o be_v the_o north_n side_n of_o the_o sun_n eclipse_v and_o the_o south_n side_n retain_v still_o his_o light_n but_o if_o her_o apparent_a latitude_n be_v south_n then_o be_v the_o south_n side_n of_o the_o sun_n darken_v and_o the_o north_n side_n keep_v still_o his_o light_n and_o this_o be_v a_o general_a observation_n that_o no_o eclipse_n of_o the_o sun_n be_v universal_a except_o that_o which_o be_v against_o nature_n at_o the_o death_n of_o christ_n but_o always_o particular_a that_o be_v it_o may_v be_v see_v in_o some_o few_o place_n but_o not_o in_o all_o place_n of_o the_o world_n neither_o do_v it_o begin_v or_o end_v in_o all_o place_n at_o oneself_o instant_a neither_o do_v it_o appear_v in_o all_o place_n of_o ownself_o bigness_n or_o of_o one_o shape_n but_o in_o one_o place_n be_v total_a and_o in_o another_o place_n at_o the_o same_o time_n partial_a and_o in_o other_o place_n again_o there_o appear_v no_o eclipse_n at_o all_o the_o cause_n of_o which_o diversity_n have_v be_v before_o declare_v how_o to_o find_v out_o the_o quantity_n increase_a decrease_a beginning_n and_o end_v of_o the_o sun_n eclipse_n without_o any_o offence_n of_o your_o eyesight_n have_v learn_v by_o the_o ephemerides_n or_o by_o some_o other_o almanac_n at_o what_o time_n the_o eclipse_n shall_v be_v resort_v to_o some_o tower_n or_o high_a loft_n the_o high_a the_o better_o and_o see_v that_o the_o place_n whereas_o you_o will_v make_v your_o observation_n be_v without_o light_n and_o so_o dark_a as_o you_o can_v possible_o make_v it_o leave_v only_o a_o little_a hole_n or_o rift_n through_o which_o the_o beam_n of_o the_o sun_n may_v strike_fw-mi through_o and_o upon_o the_o pavement_n or_o on_o the_o wall_n that_o look_v right_a against_o that_o hole_n or_o rift_n behold_v what_o light_n the_o sun_n yield_v for_o that_o light_n will_v represent_v the_o true_a shape_n of_o the_o sun_n at_o that_o present_a and_o plain_o show_v so_o much_o portion_n to_o be_v want_v from_o the_o lightsome_a circle_n as_o the_o moon_n come_v betwixt_o the_o sun_n &_o the_o earth_n do_v take_v away_o from_o our_o sight_n wherefore_o if_o you_o divide_v the_o diameter_n of_o the_o say_v lightsome_a circle_n into_o 12_o part_n or_o point_n which_o the_o astronomer_n do_v call_v digit_n you_o shall_v find_v out_o all_o the_o thing_n above_o mention_v without_o look_v up_o to_o the_o heaven_n the_o methodical_a doctrine_n of_o the_o eclipse_n set_v down_o by_o reinoldus_n in_o his_o commentary_n upon_o purbachius_n first_o ptolomey_n find_v out_o the_o true_a latitude_n of_o the_o moon_n and_o divide_v the_o same_o from_o her_o apparent_a latitude_n as_o he_o teach_v in_o the_o 12_o chapter_n of_o his_o five_o book_n for_o in_o the_o eclipse_n of_o the_o moon_n it_o be_v very_o necessary_a to_o have_v knowledge_n both_o of_o her_o true_a latitude_n and_o also_o of_o her_o apparent_a latitude_n for_o the_o eclipse_n of_o the_o sun_n without_o have_v knowledge_n of_o her_o apparent_a latitude_n and_o of_o her_o parallax_n can_v never_o be_v well_o foreknow_v and_o by_o this_o he_o do_v not_o only_o judge_v of_o other_o thing_n but_o also_o by_o a_o geometrical_a way_n find_v that_o the_o great_a distance_n of_o the_o moon_n from_o the_o earth_n she_o be_v either_o at_o the_o change_n or_o at_o the_o full_a do_v contain_v 64_o semidiameter_n of_o the_o earth_n and_o one_o sixth_o part_n moreover_o by_o other_o observation_n he_o do_v know_v the_o proportion_n of_o the_o semidiameter_n as_o well_o of_o the_o moon_n excentrique_fw-la and_o of_o her_o epicicle_n as_o also_o of_o her_o excentricity_n then_o by_o other_o observation_n he_o seek_v out_o the_o quantity_n of_o the_o apparent_a diameter_n of_o the_o sun_n of_o the_o moon_n and_o of_o the_o shadow_n as_o well_o at_o the_o new_a moon_n as_o at_o the_o full_a in_o manner_n and_o form_n follow_v for_o first_o by_o the_o help_n of_o a_o instrument_n have_v a_o diopter_fw-la he_o find_v the_o sun_n and_o moon_n to_o be_v in_o one_o self_n angle_v when_o she_o be_v most_o distant_a from_o the_o earth_n then_o he_o attribute_v to_o the_o moon_n two_o eclipse_n in_o the_o one_o whereof_o when_o her_o latitude_n be_v i48_n ii30_n the_o shadow_n darken_v one_o quarter_n of_o her_o diameter_n and_o in_o the_o other_o eclipse_n the_o shadow_n darken_v the_o one_o half_a of_o her_o diameter_n when_o as_o her_o latitude_n be_v i40_n ii40_n and_o in_o either_o of_o the_o eclipse_n the_o moon_n be_v very_o nigh_o to_o the_o height_n of_o her_o epicicle_n hereof_o it_o manifest_o appear_v that_o a_o quarter_n of_o the_o moon_n diameter_n when_o she_o be_v most_o distant_a from_o the_o earth_n contain_v in_o heaven_n according_a to_o our_o aspect_n i57_n ii0●_n ●_z which_o be_v reckon_v four_o time_n do_v show_v that_o the_o diameter_n of_o the_o moon_n be_v at_o that_o time_n i31_n ii20_n whereunto_o the_o observe_v diameter_n of_o the_o sun_n be_v then_o equal_a and_o the_o semidiameter_n of_o the_o shadow_n in_o the_o late_a eclipse_n do_v appear_v to_o be_v i40_n ii40_n for_o the_o centre_n of_o the_o moon_n body_n do_v then_o touch_v the_o outermost_a brim_n of_o the_o shadow_n hereby_o it_o likewise_o appear_v that_o the_o diameter_n of_o the_o shadow_n have_v such_o proportion_n to_o the_o diameter_n of_o the_o moon_n body_n as_o 13_o hath_z to_z 5_o and_o keep_v the_o selfsame_o proportion_n in_o all_o other_o eclipse_n of_o the_o moon_n and_o though_o it_o most_o manifest_o appear_v by_o this_o that_o the_o diameter_n of_o the_o shadow_n do_v exceed_v in_o greatness_n the_o diameter_n of_o the_o moon_n yet_o it_o follow_v not_o by_o &_o by_o thereof_o that_o the_o moon_n be_v lesser_a than_o the_o earth_n now_o therefore_o ptolomey_n by_o compare_v according_a to_o the_o doctrine_n of_o plain_a triangle_n the_o semidiameter_n of_o the_o moon_n and_o of_o the_o shadow_n together_o with_o the_o distance_n of_o the_o say_a moon_n be_v measure_v by_o the_o semidiameter_n of_o the_o earth_n he_o find_v the_o semidiameter_n of_o the_o moon_n only_o to_o contain_v i17_n ii●3_n and_o the_o semidiameter_n of_o the_o shadow_n to_o contain_v i45_n and_o ii38_n such_o like_a minute_n i_o say_v as_o the_o semidiameter_n of_o the_o earth_n have_v 60._o and_o therefore_o it_o appear_v hereby_o that_o either_o of_o the_o semidiameter_n that_o be_v of_o the_o moon_n or_o of_o the_o shadow_n be_v less_o than_o the_o semidiameter_n of_o the_o earth_n for_o the_o semidiameter_n of_o the_o earth_n be_v almost_o in_o like_a proportion_n to_o the_o semidiameter_n of_o the_o shadow_n as_o 4_o be_v to_o 3_o and_o be_v compare_v to_o the_o semidiameter_n of_o the_o moon_n it_o be_v almost_o in_o such_o proportion_n as_o 17_o be_v to_o 5_o whereof_o it_o follow_v necessary_o that_o the_o shadow_n of_o the_o earth_n be_v conicall_a that_o be_v round_o grow_v to_o a_o sharp_a point_n and_o therefore_o the_o sun_n must_v needs_o be_v great_a than_o the_o earth_n neither_o can_v any_o right_a judgement_n have_v be_v make_v touch_v the_o quantity_n of_o the_o say_v three_o body_n that_o be_v the_o sun_n the_o moon_n and_o the_o earth_n unless_o that_o the_o parallax_n of_o the_o moon_n have_v first_o show_v the_o distance_n of_o the_o moon_n from_o the_o earth_n the_o say_a distance_n be_v measure_v by_o the_o semidiameter_n of_o the_o earth_n for_o if_o you_o suppose_v the_o distance_n betwixt_o the_o moon_n and_o the_o earth_n to_o be_v 48_o semidiameter_n of_o the_o earth_n you_o shall_v find_v that_o the_o semidiameter_n of_o the_o shadow_n will_v be_v altogether_o equal_a to_o the_o semidiameter_n of_o the_o earth_n and_o so_o the_o shadow_n shall_v be_v cylindricall_a that_o be_v to_o say_v in_o all_o part_n round_o like_o a_o pillar_n and_o if_o you_o suppose_v the_o say_a distance_n of_o the_o moon_n from_o