Selected quad for the lemma: earth_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
earth_n	body_n	contain_v	diameter_n	5,518	5	15.6944	5	true

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

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 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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

the_o earth_n to_o be_v great_a as_o to_o be_v 170_o semidiameter_n of_o the_o earth_n than_o the_o semidiameter_n of_o the_o shadow_n the_o moon_n be_v in_o transit●_fw-la will_v contain_v two_o semidiameter_n of_o the_o earth_n and_o so_o the_o shadow_n shall_v be_v calathoidall_a that_o be_v to_o say_v like_o a_o cup_n or_o top_n extend_v together_o with_o his_o length_n in_o breadth_n and_o wideness_n more_o and_o more_o infinite_o all_o which_o three_o shape_n of_o shadow_n be_v before_o plain_o set_v forth_o in_o their_o figure_n by_o this_o ptolomey_n do_v prove_v that_o the_o distance_n of_o the_o sun_n from_o the_o centre_n of_o the_o earth_n contain_v 1270_o semidiameter_n of_o the_o earth_n and_o that_o the_o semidiameter_n of_o the_o sun_n body_n contain_v five_o such_o semidiameter_n and_o a_o half_a as_o the_o earth_n have_v and_o that_o the_o diameter_n of_o the_o sun_n to_o the_o diameter_n of_o the_o earth_n be_v in_o such_o proportion_n as_o be_v 11_o to_o 2._o final_o he_o prove_v the_o axletree_n of_o the_o shadow_n to_o contain_v 268_o such_o semidiameter_n as_o the_o earth_n have_v wherefore_o according_a to_o the_o opinion_n of_o ptol●mey_n the_o excentricity_n of_o the_o sun_n shall_v contain_v 48_o semidiameter_n of_o the_o earth_n and_o almost_o one_o four_o part_n now_o by_o know_v the_o diameter_n of_o the_o three_o body_n it_o be_v easy_a to_o find_v out_o their_o proportion_n for_o by_o the_o last_o proposition_n of_o euclid_n his_o twelve_o book_n look_v what_o proportion_n be_v betwixt_o the_o diameter_n of_o any_o two_o sphere_n the_o same_o proportion_n be_v tripled_a be_v the_o proportion_n betwixt_o the_o say_v two_o sphere_n and_o therefore_o because_o the_o diameter_n of_o the_o sun_n be_v to_o the_o diameter_n of_o the_o earth_n in_o like_a proportion_n as_o 11_o be_v to_o 2_o the_o same_o proportion_n be_v tripled_a shall_v be_v 1331_o to_o 8_o so_o as_o the_o body_n of_o the_o sun_n do_v contain_v the_o body_n of_o the_o earth_n 166_o time_n and_o almost_o one_o half_a in_o like_a manner_n you_o shall_v find_v the_o body_n of_o the_o moon_n to_o be_v almost_o the_o 40_o part_n of_o the_o body_n of_o the_o earth_n for_o the_o diameter_n of_o the_o earth_n to_o the_o diameter_n of_o the_o moon_n be_v in_o such_o proportion_n as_o be_v 17_o to_o 5_o so_o as_o the_o body_n of_o the_o earth_n contain_v the_o body_n of_o the_o moon_n almost_o 40_o time_n as_o be_v say_v before_o and_o the_o body_n of_o the_o sun_n contain_v the_o body_n of_o the_o moon_n almost_o 6600_o time_n the_o proportion_n of_o which_o three_o body_n be_v these_o number_n here_o follow_v that_o be_v to_o say_v for_o the_o sun_n 6539203_o and_o for_o the_o earth_n 39304_o and_o for_o the_o moon_n 1000_o a_o brief_a extract_n of_o maginus_fw-la his_o theoriques_n show_v all_o the_o definition_n of_o such_o name_n and_o motion_n as_o be_v needful_a to_o be_v know_v for_o the_o calculate_v of_o the_o place_n of_o any_o of_o the_o seven_o planet_n or_o other_o motion_n of_o any_o heaven_n whatsoever_o that_o be_v to_o be_v find_v out_o by_o the_o prutenicall_a table_n to_o avoid_v the_o paradoxical_a supposition_n of_o copernicus_n suppose_v the_o earth_n to_o move_v and_o the_o sun_n to_o stand_v still_o in_o the_o midst_n of_o heaven_n maginus_fw-la be_v fain_a to_o suppose_v that_o there_o be_v three_o movable_a heaven_n above_o the_o eight_o heaven_n and_o so_o make_v in_o all_o eleven_o movable_a heaven_n which_o be_v one_o more_o than_o all_o the_o other_o astronomer_n have_v heretofore_o set_v down_o and_o he_o call_v the_o high_a or_o eleven_o heaven_n the_o first_o movable_a describe_v the_o same_o as_o hereafter_o follow_v next_o to_o which_o be_v place_v in_o his_o theoriques_n the_o ten_o heaven_n than_o the_o nine_o and_o eight_o heaven_n and_o under_o that_o the_o seven_o planet_n that_o be_v first_o saturn_n than_o jupiter_n mars_n sol_n venus_n mercury_n and_o luna_n which_o be_v the_o low_a heaven_n of_o all_o of_o which_o his_o theoriques_n i_n think_v good_a to_o make_v a_o brief_a extract_n because_o that_o more_o term_n belong_v to_o the_o prutenicall_a table_n be_v therein_o both_o define_v and_o demonstrate_v than_o be_v set_v down_o either_o by_o purbachius_n or_o by_o mes●elyn_n in_o their_o theoriques_n and_o according_a to_o the_o number_n of_o this_o eleven_o heaven_n i_o have_v divide_v this_o extract_n into_o 11_o chapter_n chap._n i._n the_o description_n of_o the_o eleven_o heaven_n or_o first_o movable_a together_o with_o such_o definition_n as_o be_v contain_v therein_o the_o first_o movable_a be_v the_o great_a or_o high_a heaven_n which_o carry_v all_o the_o inferior_a heaven_n round_o about_o from_o east_n to_o west_n in_o 24_o hour_n the_o concave_a superficies_n whereof_o be_v imagine_v to_o be_v trace_v with_o certain_a circle_n whereof_o some_o be_v great_a and_o some_o lesser_a 2._o the_o great_a circle_n chief_o serve_v for_o our_o purpose_n be_v these_o the_o aequinoctial_a the_o ecliptic_a and_o the_o two_o colour_n the_o one_o call_v the_o colour_n of_o the_o equinox_n and_o the_o other_o the_o colour_n of_o the_o solstice_n 3._o the_o aequinoctial_a be_v a_o great_a circle_n suppose_v to_o be_v in_o the_o convex_a superficies_n of_o the_o first_o movable_a devide_v the_o same_o superficies_n into_o two_o equal_a part_n the_o pole_n of_o which_o circle_n be_v the_o pole_n of_o the_o world_n upon_o which_o pole_n the_o say_v first_o movable_a continual_o move_v make_v his_o revolution_n in_o 24_o hour_n 4._o the_o ecliptic_a of_o the_o first_o movable_a be_v also_o a_o great_a circle_n devide_v the_o superficies_n thereof_o into_o two_o equal_a part_n &_o cut_v the_o aequinoctial_a in_o two_o opposite_a point_n which_o point_n be_v call_v the_o equinox_n one_o of_o they_o be_v call_v the_o vernal_a equinox_n and_o the_o other_o the_o autumnal_a equinox_n and_o the_o pole_n of_o this_o ecliptic_a be_v always_o distant_a from_o the_o pole_n of_o the_o world_n 23_o degree_n i40·_n and_o do_v never_o alter_v and_o this_o ecliptic_a be_v call_v the_o mean_a ecliptic_a 5._o the_o colour_n of_o the_o equinox_n be_v a_o great_a circle_n pass_v through_o the_o two_o equinox_n and_o the_o two_o pole_n of_o the_o world_n 6._o the_o colour_n of_o the_o solstice_n be_v also_o a_o great_a circle_n devide_v the_o superficies_n of_o the_o first_o moovable_a into_o two_o equal_a part_n and_o be_v draw_v both_o through_o the_o pole_n of_o the_o world_n and_o also_o through_o the_o pole_n of_o the_o mean_a ecliptic_a chap._n ii_o of_o the_o ten_o heaven_n the_o ten_o heaven_n be_v a_o great_a orb_n next_o unto_o the_o first_o movable_a have_v contrary_a motion_n to_o the_o first_o moovable_a that_o be_v from_o west_n to_o east_n upon_o the_o pole_n of_o the_o ecliptic_a of_o the_o first_o moovable_a or_o mean_a ecliptic_a and_o make_v his_o revolution_n in_o 3434_o egyptian_a year_n and_o 10_o day_n in_o which_o imagine_v the_o letter_n a_o to_o be_v the_o pole_n of_o the_o mean_a ecliptic_a of_o the_o first_o moovable_a and_o also_o the_o pole_n of_o the_o ten_o heaven_n about_o which_o pole_n the_o ten_o sphere_n make_v his_o revolution_n in_o 3434_o egyptian_a year_n and_o 10_o day_n and_o upon_o the_o point_n a_o imagine_v also_o a_o lesser_a circle_n to_o be_v draw_v who_o semidiameter_n be_v a_o b_o contain_v in_o length_n i●°_n and_o imagine_v the_o same_o lesser_a circle_n to_o be_v the_o circle_n b_o d_o f_o in_o the_o circumference_n whereof_o suppose_v the_o centre_n of_o another_o lesser_a circle_n equal_a to_o that_o to_o be_v place_v in_o the_o point_n d_o and_o let_v the_o semidiameter_n of_o the_o say_v second_v lesser_a circle_n be_v d_o e_o contain_v in_o length_n i6·_fw-la the_o centre_n of_o which_o second_o circle_n viz._n d_o you_o must_v suppose_v never_o to_o change_v his_o place_n but_o to_o move_v about_o the_o pole_n a_o as_o the_o ten_o heaven_n move_v about_o the_o same_o pole_n a._n and_o so_o likewise_o suppose_v the_o second_o little_a circle_n a_o h_n e_o to_o be_v fasten_v to_o the_o first_o so_o as_o the_o say_v second_o circle_n have_v no_o other_o motion_n but_o that_o which_o the_o centre_n d_o have_v and_o imagine_v the_o right_n perpendicular_a line_n c_o g_o to_o be_v part_n of_o the_o solisticiall_a colour_n of_o the_o first_o movable_a which_o colour_n the_o circumference_n of_o the_o second_o little_a circle_n a_o h_n e_o will_v cut_v in_o some_o one_o point_n or_o other_o as_o in_o the_o point_n h_n the_o place_n of_o which_o intersection_n wheresoever_o that_o happen_v upon_o the_o line_n c_o g_o be_v the_o pole_n of_o the_o ecliptic_a of_o the_o ten_o heaven_n who_o pole_n do_v continual_o alter_v his_o place_n and_o therefore_o the_o place_n of_o

minute_n as_o the_o little_a arch_n r_o s_o signify_v the_o excess_n of_o the_o long_a longitude_n do_v contain_v 60_o minute_n likewise_o as_o the_o line_n a_o l_o be_v short_a than_o the_o line_n a_o h_n by_o 40_o minute_n even_o so_o the_o equation_n of_o the_o epicicle_n mark_v with_o queen_n s_n his_o centre_n be_v in_o l_o be_v great_a than_o the_o equation_n of_o the_o say_a epicicle_n mark_v also_o with_o queen_n s_n his_o centre_n be_v in_o the_o point_n h_n by_o 40_o of_o such_o minute_n as_o the_o arch_n s_o t_o signify_v the_o nigh_a longitude_n do_v contain_v 60_o minute_n and_o remember_v here_o that_o in_o seek_v in_o this_o figure_n to_o know_v the_o length_n of_o the_o line_n a_o k_o by_o the_o minute_n you_o must_v put_v the_o firm_a foot_n of_o your_o compass_n in_o the_o centre_n a_o and_o the_o moovable_a foot_n in_o the_o point_n l_o and_o so_o to_o draw_v the_o moovable_a foot_n from_o thence_o to_o the_o line_n a_o h_n q_n upon_o which_o line_n the_o number_n of_o the_o 60_o proportional_a minute_n be_v set_v down_o and_o to_o know_v the_o length_n of_o the_o line_n a_o l_o you_o must_v fit_v your_o compass_n to_o a_o l_o and_o then_o draw_v the_o movable_a foot_n to_o the_o line_n a_o g_o q_o upon_o which_o line_n be_v also_o set_v down_o the_o 60_o proportional_a minute_n in_o like_a manner_n as_o they_o be_v upon_o the_o line_n a_o h_n q_n save_v that_o in_o the_o line_n a_o h_n q_o the_o say_v 60_o minute_n be_v to_o be_v count_v from_o h_n towards_o q_n and_o in_o the_o line_n a_o g_o qui_fw-fr they_o proceed_v upward_o from_o q_o to_o g_z according_a as_o the_o inferior_a half_a circle_n do_v show_v and_o after_o this_o manner_n you_o must_v deal_v to_o know_v the_o length_n of_o any_o other_o line_n draw_v from_o the_o centre_n a_o to_o any_o other_o point_n of_o the_o excentrique_fw-la whereinto_o the_o centre_n of_o the_o epicicle_n chance_v to_o fall_v consider_v always_o whether_o such_o line_n be_v either_o long_o or_o short_a than_o the_o line_n a_o h_n pass_v through_o the_o point_n of_o the_o mean_a longitude_n to_o the_o intent_n you_o may_v know_v thereby_o how_o to_o apply_v the_o length_n of_o every_o line_n to_o the_o right_a number_n of_o the_o proportional_a minute_n belong_v to_o the_o same_o but_o you_o have_v to_o note_v that_o neither_o copernicus_n nor_o the_o prutenicall_a table_n do_v make_v any_o more_o kind_n of_o excess_n or_o proportional_a minute_n but_o that_o only_a which_o be_v plain_o declare_v before_o in_o the_o sixth_o figure_n of_o the_o moon_n what_o be_v the_o diameter_n of_o the_o auge_n in_o the_o epicicle_n it_o be_v a_o right_a line_n pass_v through_o the_o centre_n of_o the_o epicicle_n and_o also_o through_o the_o true_a auge_n and_o the_o true_a opposite_a auge_n of_o the_o say_a epicicle_n which_o line_n devide_v the_o plane_n of_o the_o epicicle_n into_o two_o equal_a hal●es_n whereof_o the_o one_o be_v call_v the_o oriental_a half_a and_o the_o other_o the_o occidental_a half_n hereafter_o describe_v in_o the_o sixth_o figure_n what_o be_v the_o diameter_n of_o the_o mean_a longitude_n in_o the_o epicicle_n it_o be_v a_o right_a line_n draw_v through_o the_o centre_n of_o the_o epicicle_n erect_v perpendicular_o upon_o the_o diameter_n of_o the_o true_a auge_n of_o the_o say_a epicicle_n next_o before_o define_v and_o when_o the_o planet_n fall_v into_o this_o line_n it_o show_v the_o mean_a distance_n that_o be_v betwixt_o the_o great_a longitude_n in_o the_o auge_n of_o the_o epicicle_n and_o the_o least_o longitude_n in_o the_o opposite_a auge_n of_o the_o say_a epicicle_n and_o thereof_o be_v call_v the_o diameter_n of_o the_o mean_a longitude_n and_o this_o line_n devide_v also_o the_o plane_n of_o the_o epicicle_n into_o two_o half_n that_o be_v the_o upper_a half_n and_o the_o nether_a half_n the_o upper_a half_n be_v that_o which_o be_v above_o the_o diameter_n of_o the_o mean_a longitude_n and_o be_v far_a from_o the_o earth_n and_o the_o low_a or_o nether_a half_n be_v beneath_o the_o say_a diameter_n and_o be_v nigh_a to_o the_o earth_n what_o be_v the_o oriental_a and_o occidental_a half_n of_o the_o epicicle_n the_o oriental_a half_n be_v that_o which_o be_v contain_v betwixt_o the_o auge_n and_o opposite_a auge_n look_v towards_o the_o east_n and_o the_o other_o half_o look_v towards_o the_o west_n be_v call_v the_o occidental_a half_n and_o you_o have_v to_o note_v that_o as_o well_o in_o these_o three_o planet_n as_o in_o the_o other_o two_o planet_n next_o follow_v that_o be_v venus_n and_o mercury_n the_o first_o half_n of_o the_o epicicle_n be_v oriental_a and_o the_o late_a half_n occidental_a but_o in_o the_o moon_n the_o late_a half_n of_o her_o epicicle_n be_v oriental_a and_o the_o first_o half_a thereof_o be_v occidental_a for_o the_o epicicle_n of_o every_o one_o of_o the_o foresay_a five_o planet_n go_v from_o the_o auge_n in_o his_o upper_a part_n according_a to_o the_o succession_n of_o the_o sign_n carry_v the_o planet_n first_o into_o the_o oriental_a half_a but_o in_o the_o moon_n it_o be_v clean_o contrary_a the_o four_o intention_n show_v the_o twofold_a latitude_n of_o the_o three_o upper_a planet_n and_o wherein_o their_o latitude_n differ_v from_o the_o latitude_n of_o the_o moon_n the_o latitude_n of_o the_o moon_n be_v simple_a have_v only_a respect_n to_o the_o distance_n of_o her_o excentrique_fw-la or_o deferent_a from_o the_o ecliptic_a line_n who_o great_a distance_n from_o thence_o either_o towards_o the_o north_n or_o south_n be_v but_o five_o degree_n as_o have_v be_v say_v before_o by_o reason_n that_o the_o pole_n of_o her_o excentrique_fw-la be_v distant_a from_o the_o pole_n of_o the_o ecliptic_a no_o more_o but_o five_o degree_n but_o the_o latitude_n of_o the_o three_o upper_a planet_n be_v to_o be_v consider_v two_o manner_n of_o way_n first_o according_a to_o the_o distance_n of_o any_o of_o their_o excentriques_n from_o the_o ecliptic_a and_o second_o according_a to_o the_o distance_n of_o any_o of_o their_o epicicle_n from_o the_o excentrique_fw-la thereof_o which_o two_o kind_n of_o latitude_n purbachius_n describe_v the_o first_o in_o this_o manner_n the_o first_o say_v he_o chance_v by_o reason_n that_o the_o plane_n or_o superficies_n of_o the_o excentrique_fw-la of_o the_o planet_n decline_v from_o the_o plane_n of_o the_o ecliptic_a in_o two_o part_n opposite_a the_o great_a distance_n of_o such_o declination_n remain_v always_o invariable_a like_o as_o in_o the_o moon_n and_o yet_o the_o two_o nodes_fw-la or_o intersection_n that_o be_v to_o say_v the_o node_n ascendent_a and_o descendent_a otherwise_o call_v the_o head_n and_o tail_n of_o the_o dragon_n be_v not_o move_v contrary_a to_o the_o succession_n of_o the_o sign_n as_o in_o the_o moon_n but_o according_a to_o the_o move_n of_o the_o eight_o sphere_n so_o as_o the_o auge_n of_o the_o deferent_n of_o those_o nodes_fw-la do_v describe_v on_o the_o north_n side_n parallel_n circumference_n that_o be_v equal_o distant_a from_o the_o ecliptic_a and_o though_o such_o auge_n be_v always_o septentrional_a yet_o notwithstanding_o those_o auge_n be_v not_o in_o all_o the_o three_o planet_n the_o very_a point_n or_o limit_n of_o the_o great_a latitude_n of_o their_o deferent_n from_o the_o ecliptic_a yea_o that_o fall_v out_o only_o in_o mars_n the_o auge_n of_o who_o excentrique_fw-la do_v most_o decline_v from_o the_o ecliptic_a to_o the_o north_n but_o in_o saturn_n the_o point_n or_o limit_v of_o his_o great_a latitude_n go_v before_o the_o auge_n of_o his_o excentrique_fw-la contrary_a to_o the_o succession_n of_o the_o sign_n and_o be_v distant_a from_o his_o auge_n 50_o degree_n and_o in_o jupiter_n such_o point_n go_v after_o the_o auge_n of_o his_o excentrique_fw-la according_a to_o the_o succession_n of_o the_o sign_n and_o be_v distant_a from_o his_o auge_n 20_o degree_n all_o which_o thing_n you_o shall_v more_o plain_o perceive_v by_o this_o figure_n here_o follow_v set_v down_o by_o reinholdus_n in_o his_o comment_n upon_o purbacchius_n ¶_o the_o five_o figure_n of_o the_o three_o superior_a planet_n in_o this_o figure_n the_o letter_n d_o signify_v the_o centre_n of_o the_o world_n whereupon_o be_v draw_v a_o circle_n signify_v the_o plane_n of_o the_o ecliptic_a and_o the_o say_a point_n d_o represent_v also_o both_o the_o pole_n of_o the_o ecliptic_a and_o upon_o the_o point_n c_o be_v draw_v another_o circle_n signify_v the_o plane_n or_o superficies_n of_o the_o excentrique_fw-la mark_v in_o the_o upper_a part_n with_o the_o letter_n a_o b_o e_o incline_v as_o you_o see_v towards_o the_o plane_n of_o the_o ecliptic_a and_o because_o the_o two_o plane_n that_o be_v the_o plane_n of_o the_o excentrique_fw-la &_o the_o plane_n of_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 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 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collum_n the_o day_n of_o the_o moon_n age_n after_o the_o full_a during_o her_o decrease_n or_o wane_n that_o be_v from_z 15_o to_o 30_o ascend_v upward_o the_o table_n follow_v in_o the_o next_o page_n a_o table_n show_v the_o divers_a shape_v of_o the_o moon_n 1._o 2._o 3._o 4._o 5._o 6._o 7._o the_o day_n or_o age_n of_o the_o moon_n the_o first_o five_o aspect_n of_o the_o moon_n the_o place_n of_o the_o excentrique_fw-la the_o diverse_a shape_n and_o name_n of_o the_o light_n of_o the_o moon_n the_o place_n of_o the_o excentrique_fw-la the_o second_o five_o aspect_n of_o the_o moon_n the_o date_n 1._o ☌_o in_o the_o auge_n coniunctio_fw-la the_o new_a moon_n in_o the_o auge_n ☌_o 30._o 4._o ⚹_o in_o the_o mean_a longitude_n of_o the_o excentrique_fw-la falcata_fw-la the_o horn_a moon_n in_o the_o mean_a longitude_n of_o the_o excentrique_fw-la ⚹_o 26._o 7._o □_o in_o the_o opposite_a auge_n demidiata_n the_o half_a moon_n in_o the_o opposite_a auge_n □_o 22._o 11._o △_o in_o the_o mean_a longitude_n of_o the_o excentrique_fw-la vtrinquegihbosa_n almost_o round_o in_o the_o mean_a longitude_n of_o the_o excentrique_fw-la △_o 19_o 15._o ☍_o in_o the_o auge_n pleni_fw-la lunius_fw-la the_o full_a moon_n in_o the_o auge_n opposition_n 15._o how_o be_v this_o digression_n or_o depart_v of_o the_o moon_n from_o the_o sun_n call_v it_o be_v common_o call_v the_o longitude_n or_o move_v of_o the_o moon_n from_o the_o sun_n and_o the_o moon_n return_v again_o to_o the_o sun_n or_o rather_o overtake_v he_o in_o 29_o day_n and_o one_o half_a day_n in_o which_o time_n she_o accomplish_v all_o her_o diverse_a illumination_n or_o shape_n of_o light_n that_o be_v to_o say_v she_o sustain_v all_o her_o aspect_n to_o the_o sun_n and_o show_v to_o the_o earth_n all_o the_o diversity_n of_o her_o light_n and_o appearance_n and_o this_o month_n be_v call_v the_o month_n sinodicall_a for_o there_o be_v two_o kind_n of_o lunar_a month_n the_o one_o periodicall_a in_o which_o 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swift_a or_o slow_a for_o when_o she_o be_v in_o her_o swift_a motion_n the_o continuance_n of_o her_o eclipse_n must_v needs_o be_v short_a than_o when_o she_o be_v in_o her_o slow_a motion_n and_o to_o know_v her_o hourly_a motion_n either_o mean_a or_o true_a be_v to_o be_v find_v by_o the_o prutenicall_a table_n but_o now_o though_o her_o eclipse_n be_v thus_o variable_a as_o you_o see_v yet_o such_o variety_n may_v be_v bring_v into_o two_o chief_a head_n that_o be_v when_o she_o be_v say_v to_o be_v total_o or_o partly_o eclipse_v whereof_o we_o come_v now_o to_o speak_v the_o total_a eclipse_n of_o the_o moon_n be_v twofold_a that_o be_v either_o without_o any_o continuance_n of_o time_n or_o else_o with_o some_o continuance_n of_o time_n in_o the_o former_a so_o soon_o as_o she_o have_v lose_v her_o whole_a light_n she_o present_o begin_v to_o recover_v the_o same_o again_o but_o in_o the_o latter_a she_o be_v whole_o eclipse_v the_o same_o continue_v some_o quantity_n of_o 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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

this_o five_o figure_n ¶_o the_o five_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 be_v less_o than_o b_o k_o represent_v here_o the_o semidiameter_n of_o the_o shadow_n and_o therefore_o more_o than_o the_o semidiameter_n of_o the_o moon_n be_v eclipse_v how_o to_o know_v the_o bound_n or_o limit_n whereby_o be_v easy_o know_v what_o kind_n of_o eclipse_n of_o the_o moon_n will_v happen_v when_o she_o be_v at_o the_o full_a the_o limit_n be_v most_o certain_o know_v by_o the_o latitude_n of_o the_o moon_n at_o the_o time_n of_o her_o true_a opposition_n to_o the_o sun_n for_o if_o you_o find_v the_o latitude_n of_o the_o moon_n by_o the_o prutenicall_a table_n or_o otherwise_o to_o be_v more_o than_o the_o sum_n of_o the_o semidiameter_n of_o the_o shadow_n and_o of_o the_o moon_n be_v add_v together_o then_o there_o will_v be_v no_o eclipse_n at_o that_o full_a but_o if_o the_o 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 add_v together_o you_o may_v be_v sure_a that_o the_o moon_n will_v be_v eclipse_v at_o her_o full_a so_o that_o the_o term_n or_o bound_n of_o the_o eclipse_n be_v know_v by_o compare_v the_o latitude_n of_o the_o moon_n with_o the_o sum_n of_o the_o foresay_a two_o semidiameter_n be_v add_v together_o the_o least_o sum_n of_o which_o two_o semidiameter_n that_o be_v to_o say_v of_o the_o moon_n and_o of_o the_o shadow_n of_o the_o earth_n be_v i53·_v ii53·_n which_o be_v when_o the_o moon_n be_v in_o the_o auge_n of_o her_o epicicle_n and_o the_o sun_n in_o the_o opposite_a auge_n of_o his_o excentrique_fw-la and_o that_o in_o his_o least_o excentricity_n but_o the_o great_a sum_n of_o the_o say_v apparent_a diameter_n that_o can_v be_v be_v one_o degree_n i7·_a ii5·_n which_o happen_v when_o the_o moon_n be_v in_o the_o opposite_a auge_n of_o her_o epicicle_n and_o the_o sun_n in_o the_o auge_n of_o his_o excentrique_fw-la and_o that_o in_o his_o great_a excentricity_n and_o hereof_o you_o may_v gather_v these_o three_o rule_n first_o if_o the_o latitude_n of_o the_o moon_n at_o the_o time_n of_o her_o true_a opposition_n to_o the_o sun_n be_v less_o than_o i53·_a ii53·_n she_o must_v needs_o be_v eclipse_v second_o if_o her_o latitude_n be_v more_o than_o i67·_a ii52·_n she_o can_v be_v eclipse_v at_o the_o full._n three_o if_o her_o latitude_n be_v more_o than_o i53·_a ii5●°_n and_o less_o than_o i67·_a ii52·_n than_o she_o may_v happen_v to_o be_v eclipse_v but_o not_o necessary_o and_o these_o bound_n or_o limit_n may_v also_o be_v determine_v by_o the_o distance_n of_o the_o moon_n from_o any_o of_o the_o two_o nodes_fw-la that_o be_v from_o the_o head_n or_o tail_n of_o the_o dragon_n which_o distance_n be_v never_o less_o than_o 10_o degree_n i22·_a neither_o at_o any_o time_n great_a than_o 13_o degree_n i5·_n which_o bound_n or_o limit_n be_v set_v down_o by_o ptolomey_n thus_o if_o the_o distance_n of_o the_o moon_n at_o the_o time_n of_o her_o true_a opposition_n from_o either_o of_o the_o two_o nodes_fw-la be_v less_o than_o 12_o degree_n i12·_n or_o if_o the_o say_a distance_n of_o the_o moon_n from_o either_o of_o the_o say_v nodes_fw-la at_o the_o time_n of_o her_o mean_a opposition_n be_v less_o than_o 15_o degree_n and_o i12·_n the_o say_a distance_n be_v reckon_v either_o 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 upon_o the_o ecliptic_a then_o the_o moon_n may_v be_v eclipse_v of_o the_o twelve_o digit_n whereinto_o the_o body_n of_o the_o moon_n be_v wont_a to_o be_v divide_v to_o know_v thereby_o how_o much_o at_o any_o full_a she_o be_v eclipse_v though_o that_o the_o diameter_n of_o the_o moon_n and_o of_o the_o shadow_n may_v be_v account_v by_o degree_n and_o minute_n yet_o notwithstanding_o the_o magnitude_n or_o greatness_n of_o her_o eclipse_n be_v usual_o reckon_v by_o digit_n or_o ynche_n by_o devide_v the_o diameter_n of_o her_o body_n into_o 12_o equal_a part_n because_o her_o diameter_n appear_v to_o our_o sight_n as_o it_o be_v a_o foot_n in_o length_n and_o therefore_o as_o the_o foot_n be_v divide_v into_o 12_o ynche_n so_o be_v the_o diameter_n of_o the_o moon_n suppose_v to_o be_v also_o divide_v into_o 12_o part_n which_o part_n be_v call_v digit_n or_o point_n and_o by_o they_o be_v the_o greatness_n of_o her_o eclipse_n determine_v and_o therefore_o they_o be_v call_v eclipticall_a digit_n or_o point_n and_o although_o that_o the_o diameter_n of_o the_o moon_n be_v divide_v but_o into_o 12_o digit_n yet_o nevertheless_o the_o eclipse_n of_o the_o moon_n may_v sometime_o happen_v to_o be_v very_o near_o 23_o digit_n by_o reason_n of_o the_o thickness_n of_o the_o shadow_n of_o the_o earth_n who_o semidiameter_n sometime_o exceed_v the_o diameter_n of_o the_o moon_n and_o such_o excess_n be_v wont_a to_o be_v divide_v also_o into_o 12_o such_o part_n as_o be_v the_o diameter_n of_o the_o moon_n and_o so_o the_o moon_n may_v be_v eclipse_v more_o than_o 12_o point_n as_o you_o may_v more_o plain_o perceive_v by_o this_o sixth_o figure_n next_o follow_v ¶_o the_o sixth_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 letter_n d_o k_n represent_v the_o semidiameter_n of_o the_o shadow_n and_o r_o s_o the_o diameter_n of_o the_o moon_n at_o the_o time_n of_o her_o great_a darkness_n now_o suppose_v the_o say_a r_n s_n to_o be_v divide_v into_o 12_o equal_a part_n the_o say_v 12_o part_n be_v call_v the_o eclipticall_a digit_n &_o for_o that_o some_o part_n of_o the_o semidiameter_n of_o the_o shadow_n namely_o s_n k_o extend_v further_a than_o r_n s_n which_o be_v the_o diameter_n of_o the_o moon_n the_o overplus_n s_o k_n be_v suppose_v also_o to_o be_v divide_v in_o this_o eclipse_n into_o certain_a equal_a part_n namely_o into_o three_o such_o part_n as_o the_o diameter_n of_o the_o moon_n contain_v 12_o so_o as_o the_o eclipticall_a digit_n in_o this_o eclipse_n be_v 15_o for_o you_o may_v easy_o perceive_v that_o if_o the_o semidiameter_n of_o the_o moon_n be_v long_o by_o three_o digit_n than_o it_o be_v yet_o it_o may_v be_v whole_o eclipse_v and_o as_o you_o see_v the_o number_n of_o eclipticall_a digit_n in_o this_o eclipse_n to_o be_v 15_o even_o so_o the_o number_n of_o the_o say_a digit_n may_v amount_v sometime_o to_o be_v 22_o digit_n and_o 51_o minute_n for_o you_o may_v remember_v that_o i_o say_v before_o that_o the_o sum_n of_o the_o semidiameter_n of_o the_o moon_n and_o of_o the_o shadow_n be_v add_v together_o may_v sometime_o happen_v to_o be_v i69·_v ii52·_n when_o the_o sun_n be_v in_o his_o great_a excentricity_n and_o in_o the_o auge_n of_o his_o excentrique_fw-la and_o the_o moon_n in_o the_o opposite_a auge_n of_o her_o epicicle_n at_o which_o time_n the_o semidiameter_n of_o the_o moon_n be_v i17_n ii49·_v and_o so_o consequent_o her_o whole_a diameter_n be_v i35·_v ii38·_n than_o say_v by_o the_o rule_n of_o proportion_n if_o i35·_a ii38·_n be_v equal_a unto_o 12_o digit_n what_o shall_v i67·_a ii52·_n be_v equal_a unto_o so_o shall_v you_o find_v the_o four_o proportional_a number_n to_o be_v 22_o digit_n and_o 51_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 moon_n can_v have_v and_o the_o more_o eclipticall_a digit_n that_o any_o eclipse_n have_v the_o long_a be_v the_o time_n of_o durance_n or_o continuance_n thereof_o of_o the_o continance_n of_o the_o moon_n eclipse_n what_o it_o be_v and_o how_o many_o thing_n be_v wont_v by_o the_o astronomer_n to_o be_v consider_v therein_o the_o continuance_n of_o the_o eclipse_n be_v that_o space_n of_o time_n which_o she_o spend_v in_o go_v from_o the_o very_a beginning_n of_o the_o eclipse_n to_o the_o midst_n of_o the_o same_o whereas_o she_o be_v most_o darken_a and_o these_o five_o thing_n be_v wont_v therein_o to_o be_v consider_v that_o be_v the_o minute_n of_o incidence_n the_o minute_n of_o the_o half_a continuance_n the_o time_n of_o incidence_n the_o time_n of_o half_a continuance_n and_o the_o half_a continuance_n itself_o 1._o and_o first_o you_o have_v to_o note_v that_o the_o minute_n of_o incidence_n be_v account_v in_o partial_a eclipse_n after_o one_o way_n and_o in_o total_a eclipse_n with_o continuance_n another_o way_n for_o in_o partial_a eclipse_n &_o also_o in_o total_a eclipse_n without_o continuance_n the_o minute_n of_o incidence_n be_v say_v to_o be_v the_o arch_n of_o the_o moon_n way_n which_o she_o make_v in_o her_o move_n of_o longitude_n from_o the_o begin_n of_o her_o

eclipse_n to_o the_o midst_n thereof_o where_o she_o be_v full_o darken_v as_o appear_v by_o the_o three_o four_o and_o five_o figure_n of_o partial_a eclipse_n before_o set_v down_o in_o all_o which_o the_o point_n l_o signify_v the_o place_n of_o the_o moon_n at_o the_o begin_n of_o her_o eclipse_n and_o the_o point_n d_o the_o place_n of_o the_o moon_n at_o the_o middle_n of_o her_o eclipse_n now_o the_o arch_n of_o her_o way_n from_o l_o to_o d_o be_v call_v the_o minute_n of_o incidence_n for_o so_o long_o her_o light_n decrease_v by_o little_a and_o little_a until_o so_o much_o be_v take_v away_o as_o can_v be_v in_o any_o of_o those_o partial_a eclipse_n but_o if_o the_o eclipse_n be_v total_a without_o any_o continuance_n as_o in_o the_o first_o figure_n than_o the_o way_n of_o her_o motion_n in_o go_v from_o the_o point_n i_o unto_o the_o point_n k_o where_o she_o be_v whole_o darken_v be_v call_v the_o scruple_n of_o incidence_n but_o if_o the_o total_a eclipse_n have_v any_o continuance_n than_o the_o minute_n or_o scruple_n of_o incidence_n be_v that_o portion_n of_o the_o ecliptic_a through_o which_o the_o moon_n go_v from_o the_o very_a beginning_n of_o her_o eclipse_n until_o the_o time_n that_o she_o be_v whole_o eclipse_v as_o in_o the_o second_o &_o last_o figure_n the_o letter_n i_o signify_v the_o point_n in_o which_o the_o moon_n be_v at_o the_o begin_n of_o her_o eclipse_n and_o m_o the_o point_n in_o which_o she_o be_v full_o darken_v and_o the_o arch_n i_o m_o be_v call_v the_o minute_n or_o scruple_n of_o incidence_n and_o these_o minute_n in_o the_o end_n of_o the_o eclipse_n be_v call_v minute_n of_o repletion_n as_o in_o the_o three_o four_o and_o five_o figure_n the_o arch_n of_o the_o moon_n way_n namely_o d_o m_n or_o k_o h_n in_o the_o first_o figure_n or_o l_o h_n in_o the_o second_o and_o last_o figure_n do_v show_v which_o minute_n of_o repletion_n be_v reckon_v from_o the_o very_a time_n of_o the_o begin_n of_o her_o clear_n unto_o 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