Selected quad for the lemma: day_n

Word A Word B Word C Word D Occurrence Frequency Band MI MI Band Prominent
day_n eclipse_n minute_n moon_n 12,931 5 12.8749 5 true
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
A15751 The description and vse of the sphaere· Deuided into three principall parts. Whereof the first intreateth especially of the circles of the vppermost moueable sphære, and of the manifold vses of euery one of them seuerally. The second sheweth the plentifull vse of the vppermost sphære, and of the circles thereof joyntly. The third contayneth the description of the orbes whereof the sphæres of the sunne and moone haue been supposed to bee made, with their motions and vses. By Edvvard Wright. The contents of each part are more particularly set downe in the table. Wright, Edward, 1558?-1615. 1627 (1627) STC 26022; ESTC S120334 50,441 102

There are 6 snippets containing the selected quad. | View original text

centre_n than_o the_o centre_n of_o the_o earth_n and_o therefore_o that_o the_o circle_n or_o orb_n wherein_o the_o sun_n be_v move_v be_v a_o eccentricke_a chap._n vii_o of_o the_o use_n of_o the_o sun_n eccentrical_a orb_n therefore_o the_o use_n of_o the_o sun_n eccentricke_a may_v be_v these_o 1._o first_o to_o show_v the_o reason_n of_o the_o apparent_a inequality_n which_o seem_v to_o be_v in_o the_o motion_n of_o the_o sun_n for_o although_o the_o sun_n mo●e_n equal_o in_o his_o own_o obbe_n and_o about_o his_o own_o centre_n yet_o to_o they_o that_o be_v at_o the_o centre_n of_o the_o world_n or_o upon_o the_o earth_n he_o shall_v seem_v to_o move_v unequal_o that_o be_v swift_o when_o he_o be_v in_o that_o part_n of_o his_o eccentricke_a which_o be_v near_a unto_o the_o earth_n and_o slow_o when_o he_o be_v far_o from_o the_o earth_n and_o therefore_o in_o summer_n when_o the_o sun_n be_v about_o his_o apogaeum_n and_o in_o his_o great_a distance_n from_o the_o earth_n he_o seem_v to_o move_v little_a above_o 57_o min._n in_o one_o day_n but_o in_o winter_n be_v about_o his_o perigaeum_n and_o near_a unto_o the_o earth_n he_o seem_v to_o move_v more_o than_o 16._o minute_n whereas_o notwithstanding_o he_o move_v equal_o in_o his_o eccentricke_a every_o day_n about_o nine_o and_o fifty_o minute_n and_o 8._o second_n and_o so_o finish_v his_o revolution_n in_o 365._o day_n and_o six_o hour_n almost_o 2._o the_o second_o use_n of_o the_o sun_n eccentricke_a may_v be_v to_o show_v the_o reason_n why_o the_o sun_n appear_v great_a at_o one_o time_n then_o at_o another_o for_o the_o sun_n be_v in_o those_o part_n of_o the_o eccentrick_a that_o be_v near_a unto_o we_o seem_v great_a and_o when_o he_o be_v in_o those_o part_n of_o his_o eccentrick_a that_o be_v further_a from_o we_o he_o appear_v to_o be_v least_o 3._o and_o last_o the_o inequality_n of_o the_o sun_n distance_n from_o the_o earth_n cause_v by_o his_o eccentrick_a be_v one_o especial_a cause_n of_o the_o inequality_n of_o the_o eclipse_n both_o of_o the_o sun_n and_o moon_n chap._n viii_o the_o definition_n of_o certain_a astronomical_a word_n of_o art_n for_o the_o better_a understanding_n of_o the_o theoric_n of_o the_o sun_n 1._o what_o the_o aux_fw-fr or_o apogaeum_n of_o the_o sun_n be_v it_o have_v be_v partly_o show_v already_o that_o ●●mely_o it_o be_v that_o part_n or_o rather_o point_n of_o the_o orb_n carry_v the_o sun_n apogaeum_n wherein_o the_o say_a orb_n be_v thin_a or_o narrow_a or_o it_o be_v that_o point_n of_o the_o eccentrick_a which_o be_v further_a distant_a from_o the_o earth_n and_o be_v always_o show_v by_o a_o right_a line_n understand_v to_o be_v draw_v from_o the_o centre_n of_o the_o world_n by_o the_o centre_n of_o the_o eccentrick_a unto_o the_o orb_n carry_v the_o sun_n apogaeum_n which_o line_n be_v therefore_o call_v the_o line_n of_o the_o sun_n his_o aux_fw-fr or_o the_o line_n of_o the_o sun_n apogaeum_n 2._o the_o motion_n of_o the_o aux_fw-fr or_o of_o the_o apogaeum_n of_o the_o sun_n which_o be_v also_o call_v the_o sun_n aux_fw-fr in_o the_o second_o signification_n be_v nothing_o else_o but_o the_o arch_n of_o the_o ecliptic_a contain_v between_o the_o beginning_n of_o aries_n and_o the_o line_n of_o the_o sun_n apogaeum_n draw_v forth_o to_o the_o zodiac_n where_o this_o line_n also_o show_v the_o place_n of_o the_o sun_n apogaeum_n 3._o the_o middle_a or_o mean_a place_n of_o the_o sun_n in_o the_o zodiac_n be_v show_v by_o a_o line_n draw_v from_o the_o centre_n of_o the_o world_n unto_o the_o zodiac_n equidistant_a from_o the_o centre_n of_o the_o eccentricke_a and_o of_o the_o sun_n 4._o this_o line_n be_v therefore_o call_v the_o line_n of_o the_o mean_a or_o middle_a place_n of_o the_o sun_n 5._o the_o middle_a or_o mean_a motion_n of_o the_o sun_n be_v the_o arch_n of_o the_o ecliptic_n between_o the_o beginning_n of_o aries_n and_o the_o middle_a place_n of_o the_o sun_n 6._o the_o true_a place_n of_o the_o sun_n be_v show_v by_o a_o straight_a line_n draw_v from_o the_o centre_n of_o the_o earth_n by_o the_o centre_n of_o the_o sun_n unto_o the_o zodiac_n which_o line_n be_v therefore_o call_v the_o line_n of_o the_o true_a place_n of_o the_o sun_n 7._o the_o true_a motion_n of_o the_o sun_n be_v the_o arch_n of_o the_o ecliptic_n from_o the_o begin_n of_o aries_n unto_o the_o true_a place_n of_o the_o sun_n 8._o the_o argument_n of_o the_o sun_n at_o the_o 〈◊〉_d ●erme_v it_o or_o the_o motion_n of_o the_o sun_n anomaly_n as_o copernicus_n call_v it_o be_v the_o arch_n of_o the_o ecliptic_n contain_v between_o the_o place_n of_o the_o sun_n apogaeum_n and_o the_o middle_a place_n of_o the_o sun_n according_a to_o the_o order_n and_o succession_n of_o the_o sign_n this_o arch_n be_v call_v the_o argument_n or_o motion_n of_o the_o sun_n anomaly_n or_o irregularity_n because_o that_o by_o it_o be_v always_o find_v how_o much_o the_o sun_n true_a motion_n which_o be_v unequal_a and_o irregular_a differ_v from_o his_o middle_a motion_n which_o difference_n they_o call_v the_o sun_n equation_n or_o prosthapheresis_fw-la 9_o the_o equation_n or_o prosthapheresis_fw-la of_o the_o sun_n be_v nothing_o else_o but_o the_o arch_n of_o the_o ecliptic_n contain_v between_o the_o true_a and_o middle_a place_n of_o the_o sun_n this_o arch_n be_v call_v the_o sun_n equation_n because_o it_o make_v the_o sun_n middle_a motion_n equal_a to_o his_o true_a motion_n be_v add_v to_o it_o or_o subtract_v from_o it_o as_o occasion_n require_v for_o which_o cause_n it_o be_v more_o significant_o and_o fit_o call_v prosthaphaeresis_fw-la that_o be_v as_o much_o to_o say_v as_o that_o which_o be_v to_o be_v add_v to_o or_o subtract_v from_o the_o middle_a motion_n that_o so_o we_o may_v have_v the_o true_a motion_n for_o so_o long_o as_o the_o sun_n be_v in_o the_o semicircle_n of_o his_o eccentrick_a descend_v from_o his_o apogaeum_n to_o his_o ●●●gaeum_n so_o long_o this_o prosthapheresis_fw-la be_v to_o be_v subtract_v from_o the_o middle_a motion_n but_o the_o sun_n be_v in_o the_o other_o half_n of_o his_o eccentrick_a ascend_n the_o prosthapheresis_fw-la or_o equation_n of_o the_o sun_n must_v be_v add_v to_o the_o middle_a motion_n that_o 〈…〉_z motion_n and_o place_n of_o the_o sun_n may_v be_v find_v because_o that_o in_o the_o first_o semicircle_n of_o the_o eccentricke_a descend_v the_o middle_a place_n of_o the_o sun_n go_v before_o the_o 〈◊〉_d and_o the_o middle_a motion_n be_v 〈…〉_z great_a 〈…〉_z the_o sun_n and_o therefore_o the_o difference_n of_o these_o 〈◊〉_d motion_n that_o be_v to_o say_v the_o 〈◊〉_d or_o prosthaphaeresis_fw-la must_v be_v subtract_v to_o find_v 〈…〉_z for_o the_o true_a place_n of_o the_o sun_n go_v always_o 〈…〉_z motion_n and_o place_n of_o the_o same_o chap._n ix_o of_o the_o uppermost_a orb_n of_o the_o sphere_n of_o the_o moon_n carry_v the_o dragon_n head_n and_o tail_n next_o within_o the_o orb_n of_o the_o sun_n in_o this_o sphere_n be_v contain_v the_o orb_n of_o the_o sphere_n of_o the_o moon_n which_o 〈…〉_z in_o number_n the_o uppermost_a of_o they_o which_o in_o this_o sphere_n be_v next_o under_o the_o orb_n that_o carry_v the_o sun_n perigaeum_n and_o be_v colour_v with_o red_a be_v call_v the_o caryer_n of_o the_o dragon_n head_n and_o tail_n or_o 〈…〉_z which_o be_v as_o much_o to_o say_v as_o the_o caryer_n of_o the_o knot_n that_o be_v of_o the_o two_o intersection_n or_o point_n wherein_o the_o rest_n of_o the_o orb_n of_o the_o moon_n do_v cross_v overthwart_a this_o orb_n this_o orb_n be_v divide_v into_o four_o ninety_n of_o degree_n for_o the_o easy_a reckon_n of_o the_o motion_n and_o place_n of_o the_o dragon_n head_n or_o tail_n in_o this_o sphere_n and_o it_o be_v move_v about_o in_o 18._o julian_n year_n 224._o day_n 3._o hour_n and_o 5._o minute_n almost_o from_o the_o east_n westward_n under_o the_o ecliptic_n by_o reason_n of_o this_o motion_n it_o come_v to_o pass_v that_o the_o eclipse_n or_o rather_o the_o place_n wherein_o the_o eclipse_n of_o the_o sun_n or_o moon_n do_v happen_v in_o the_o heaven_n be_v remove_v continual_o more_o backward_o in_o the_o zodiac_n contrary_a to_o the_o order_n and_o succession_n of_o the_o sign_n as_o for_o example_n the_o eclipse_n of_o the_o moon_n happen_v this_o present_a year_n 1600._o the_o 20._o of_o januarie_n near_o unto_o the_o dragon_n tail_n about_o the_o 9_o degree_n and_o 40._o min._n of_o leo_n the_o next_o eclipse_n that_o shall_v happen_v near_o the_o same_o intersection_n of_o the_o dragon_n tail_n in_o the_o year_n 1601._o the_o 29._o of_o november_n shall_v be_v in_o 17._o degree_n and_o a_o half_a of_o
begin_n of_o any_o year_n from_o this_o present_a year_n 1600._o till_o the_o year_n 1620._o the_o second_o part_n show_v how_o much_o the_o dragon_n head_n move_v in_o any_o number_n of_o month_n of_o the_o year_n the_o three_o part_n give_v you_o the_o motion_n of_o the_o dragon_n head_n in_o any_o number_n of_o day_n of_o the_o month_n the_o place_n of_o the_o dragon_n head_n  _fw-fr year_n sign_n deg._n mt._n month_n complete_a de._n mi._n da._n de._n mi._n 1600_o aquarius_n 0_o 45_o january_n 1_o 38_o 1_o 0_o 3_o 1601_o capricorn_n 11_o 21_o february_n 3_o 8_o 2_o 0_o 6_o 1602_o sagittar_n 22_o 2_o march_n 4_o 46_o 3_o 0_o 10_o 1603_o sagittar_n 2_o 42_o april_n 6_o 22_o 4_o 0_o 13_o 1604_o scorpio_n 13_o 22_o may_n 8_o 0_o 5_o 0_o 16_o 1605_o libra_n 23_o 59_o june_n 9_o 36_o 6_o 0_o 19_o 1606_o libra_n 4_o 39_o july_n 11_o 14_o 7_o 0_o 22_o 1607_o virgo_fw-la 15_o 19_o august_n 12_o 53_o 8_o 0_o 25_o 1608_o leo_fw-la 25_o 59_o septemb_n 14_o 28_o 9_o 0_o 29_o 1609_o leo_fw-la 6_o 35_o october_n 16_o 7_o 10_o 0_o 32_o 1610_o cancer_n 17_o 15_o novemb._n 17_o 42_o 11_o 0_o 35_o ●●rd_n 1611_o gemini_fw-la 27_o 55_o decemb._n 19_o 21_o 12_o 0_o 38_o 1612_o gemini_fw-la 8_o 35_o  _fw-fr  _fw-fr 13_o 0_o 41_o 1613_o taurus_n 19_o 12_o  _fw-fr  _fw-fr 14_o 0_o 44_o 1614_o aries_n 29_o 52_o  _fw-fr  _fw-fr 15_o 0_o 48_o 1615_o aries_n 10_o 32_o  _fw-fr  _fw-fr 16_o 0_o 51_o 1616_o pisces_fw-la 21_o 12_o  _fw-fr  _fw-fr 17_o 0_o 54_o 1617._o pisces_fw-la 1_o 49_o  _fw-fr  _fw-fr 18_o 0_o 57_o 1618._o aquarius_n 12_o 29_o  _fw-fr  _fw-fr 19_o 1_o 0_o 1619_o capricorn_n 23_o 9_o  _fw-fr  _fw-fr 20_o 1_o 4_o 1620_o capricorn_n 3_o 49_o  _fw-fr  _fw-fr 21_o 1_o 7_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr 22_o 1_o 10_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr 23_o 1_o 13_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr 24_o 1_o 16_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr 25_o 1_o 19_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr 26_o 1_o 13_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr 27_o 1_o 26_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr 28_o 1_o 29_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr 29_o 1_o 32_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr 30_o 1_o 35_o chap._n xxi_o to_o find_v the_o place_n of_o the_o dragon_n head_n or_o tail_n by_o the_o former_a table_n find_v out_o in_o the_o former_a table_n the_o month_n next_o go_v before_o the_o month_n give_v find_v out_o also_o the_o day_n of_o the_o month_n add_v together_o the_o number_n of_o degree_n and_o minute_n answerable_a to_o that_o month_n and_o day_n of_o the_o month_n and_o subtract_v the_o same_o out_o of_o the_o place_n of_o the_o dragon_n head_n at_o the_o begin_n of_o the_o year_n add_v thereto_o 30._o degr_n ●●at_n be_v the_o whole_a sign_n next_o go_v before_o resolve_v in_o to_o degr_v if_o the_o sun_n aforesaid_a be_v great_a than_o the_o number_n of_o degr_n show_v the_o place_n of_o the_o dragon_n head_n at_o the_o begin_n of_o the_o year_n so_o shall_v you_o have_v the_o place_n of_o the_o dragon_n head_n for_o the_o time_n give_v and_o the_o point_n of_o the_o zodiac_n opposite_a to_o this_o be_v the_o place_n of_o the_o dragon_n tail_n take_v for_o example_n the_o 29._o of_o november_n 1601._o i_o find_v therefore_o against_o october_n the_o month_n go_v next_o before_o november_n 16._o degree_n 7._o minute_n and_o against_o the_o 29._o day_n 1._o degree_n 32._o minute_n the_o sum_n of_o both_o these_o add_v together_o be_v 17._o degree_n 39_o min._n the_o place_n of_o the_o dragon_n head_n for_o the_o begin_n of_o the_o year_n 1601._o be_v 11._o deg_n 21._o min._n of_o capricorn_n which_o because_o they_o be_v less_o than_o 17._o deg_n 39_o min._n i_o add_v unto_o they_o 30._o deg_n that_o be_v the_o whole_a sign_n of_o sagittarie_n and_o the_o sum_n of_o both_o be_v 41._o deg_n 12._o min._n out_o of_o which_o subtract_v 17._o deg_n 39_o min._n and_o there_o shall_v remain_v 23._o deg_n 42._o minute_n of_o sagittarie_n the_o place_n of_o the_o dragon_n head_n at_o that_o time_n and_o the_o point_n of_o the_o zodiac_n which_o be_v opposite_a hereto_o that_o be_v the_o 2d_o 〈◊〉_d 42._o minute_n of_o gemini_fw-la be_v the_o place_n of_o the_o 〈◊〉_d tail_n chap._n xxii_o to_o know_v at_o what_o time_n there_o shall_v be_v a_o eclipse_n of_o the_o moon_n the_o place_n of_o the_o dragon_n head_n be_v thus_o know_v find_v out_o the_o same_o place_n upon_o the_o horizon_n of_o the_o sphere_n and_o see_v what_o day_n and_o month_n answer_v thereto_o find_v out_o also_o the_o place_n of_o the_o full_a moon_n which_o happen_v next_o before_o or_o after_o that_o day_n which_o place_n if_o it_o chance_v to_o be_v within_o 11._o or_o 12._o deg_n either_o before_o or_o after_o that_o point_n of_o the_o zodiac_n which_o be_v opposite_a to_o the_o dragon_n head_n there_o must_v needs_o be_v for_o the_o most_o part_n in_o eclipse_n of_o the_o moon_n likewise_o if_o you_o find_v what_o day_n and_o month_n be_v answerable_a to_o the_o place_n of_o the_o dragon_n tail_n upon_o the_o horizon_n of_o the_o sphere_n if_o the_o place_n of_o the_o full_a moon_n which_o happen_v next_o before_o or_o after_o that_o day_n chance_v to_o be_v within_o 11._o or_o 12._o degree_n of_o the_o dragon_n head_n for_o the_o most_o part_n there_o shall_v be_v a_o eclipse_n of_o the_o moon_n as_o for_o example_n the_o 20._o of_o januarie_n last_o this_o present_a year_n 1600._o the_o place_n of_o the_o dragon_n head_n be_v find_v by_o the_o former_a chapter_n to_o have_v be_v in_o 29._o deg_n 41._o min._n of_o capricorn_n whereto_o there_o answer_v in_o the_o horizon_n the_o 10._o day_n of_o januarie_n the_o place_n of_o the_o full_a moon_n happen_v next_o after_o upon_o the_o 20._o of_o the_o same_o month_n in_o the_o morning_n must_v needs_o be_v in_o the_o place_n opposite_a to_o the_o place_n of_o the_o sun_n the_o same_o 20._o 〈◊〉_d therefore_o because_o 〈◊〉_d sun_n that_o day_n be_v in_o 9_o deg_n 〈◊〉_d one_o half_a of_o aquarius_n therefore_o the_o place_n why_o this_o circle_n be_v call_v the_o equinoctial_a or_o equator_fw-la the_o situation_n of_o the_o orb_n carry_v the_o dragon_n head_n and_o tail_n the_o situation_n of_o the_o rest_n of_o the_o orb_n why_o the_o moon_n seem_v sometime_o to_o move_v swift_a sometime_o slow_a to_o find_v the_o moon_n proportional_a minute_n what_o the_o proportional_a minute_n of_o the_o moon_n be_v ●t_z the_o begin_n of_o the_o 〈◊〉_d of_o our_o ●●rd_n
order_n of_o sign_n from_o the_o east_n westward_n whereby_o it_o come_v to_o pass_v that_o both_o the_o apogaeum_n and_o centre_n of_o the_o eccentricke_a be_v sometime_o under_o the_o ecliptic_a that_o be_v when_o they_o be_v under_o the_o dragon_n head_n or_o tail_n but_o for_o the_o most_o part_n they_o be_v beside_o the_o plain_a of_o the_o ecliptic_n either_o towards_o the_o north_n or_o else_o towards_o the_o south_n hereby_o also_o it_o appear_v that_o the_o plain_a of_o the_o ecliptic_a do_v not_o always_o divide_v the_o plain_a of_o the_o eccentricke_a into_o epqall_a part_n or_o half_n but_o then_o only_o when_o the_o centre_n and_o apogaeum_n of_o the_o eccentrick_a be_v right_o under_o the_o dragon_n head_n or_o tail_n for_o then_o only_a the_o plain_a of_o the_o ecliptic_a devide_v the_o plain_a of_o the_o eccentrick_a by_o the_o centre_n thereof_o and_o consequent_o devide_v it_o precise_o into_o two_o half_n otherwise_o if_o the_o apogaeum_n of_o the_o eccentrick_a be_v not_o under_o the_o dragon_n head_n or_o tail_n look_v on_o which_o side_n of_o the_o plain_a of_o the_o ecliptic_a the_o apogaeum_n be_v for_o on_o the_o same_o side_n of_o the_o ecliptic_n be_v the_o great_a part_n of_o the_o eccentrick_a chap._n xii_o in_o what_o proportion_n the_o moon_n eccentrick_a and_o orb_n carry_v her_o apogaeum_n be_v move_v now_o the_o eccentrick_a of_o the_o moon_n and_o the_o orb_n carry_v her_o apogaeum_n be_v move_v in_o such_o sort_n that_o the_o middle_a place_n of_o the_o sun_n be_v always_o right_a in_o the_o midst_n between_o the_o centre_n of_o the_o epicycle_n carry_v in_o the_o eccentrick_a and_o the_o apogaeum_n of_o the_o eccentrick_a except_o it_o be_v when_o the_o centre_n of_o the_o epicycle_n be_v in_o conjunction_n or_o opposition_n to_o the_o middle_a place_n of_o of_o the_o sun_n for_o in_o every_o middle_a conjunction_n and_o opposition_n of_o the_o sun_n and_o moon_n the_o centre_n of_o the_o epicycle_n and_o the_o apogaeum_n of_o the_o eccentrick_a be_v unite_v together_o but_o in_o the_o conjunction_n they_o be_v both_o conjoin_v with_o the_o middle_a place_n of_o the_o sun_n and_o in_o the_o opposition_n they_o be_v both_o together_o opposite_a to_o the_o same_o whereof_o it_o follow_v that_o in_o the_o first_o and_o last_o quarter_n of_o the_o moon_n the_o centre_n of_o her_o epicycle_n be_v diametral_o opposite_a to_o the_o apogaeum_n of_o her_o eccentrick_a hereof_o it_o come_v to_o pass_v that_o although_o the_o moon_n have_v the_o same_o position_n in_o her_o epicycle_n at_o the_o time_n of_o the_o new_a and_o full_a moon_n and_o of_o the_o first_o and_o last_o quarter_n yet_o the_o equation_n or_o prosthaphaeresis_fw-la of_o the_o moon_n argument_n as_o they_o call_v it_o that_o be_v the_o difference_n between_o the_o true_a and_o middle_a place_n of_o the_o moon_n be_v always_o great_a in_o the_o first_o and_o last_o quarter_n then_o in_o the_o full_a and_o new_a moon_n hereby_o likewise_o it_o appear_v that_o in_o the_o time_n contain_v between_o new_a moon_n and_o new_a moon_n which_o they_o call_v mensem_fw-la synodicum_fw-la that_o be_v the_o month_n coniunctional_a or_o the_o time_n from_o conjunction_n to_o conjunction_n the_o centre_n of_o the_o epicycle_n make_v two_o complete_a revolution_n under_o the_o orb_n carry_v the_o apogaeum_n of_o the_o moon_n eccentrick_a and_o therefore_o in_o every_o month_n the_o centre_n of_o the_o epicycle_n come_v twice_o to_o the_o apogaeum_n and_o twice_o to_o the_o perigaeum_n of_o the_o eccentrick_a and_o so_o the_o monthly_a motion_n of_o the_o centre_n of_o the_o epicycle_n describe_v a_o oval_a figure_n the_o end_n whereof_o be_v always_o towards_o the_o place_n of_o the_o full_a and_o new_a moon_n and_o the_o ●ides_n towards_o the_o place_n of_o the_o first_o and_o last_o quarter_n by_o this_o that_o have_v be_v speak_v it_o be_v also_o manifest_a that_o if_o the_o middle_a motion_n of_o the_o sun_n be_v subtract_v out_o of_o the_o middle_a motion_n of_o the_o moon_n there_o remain_v the_o middle_a motion_n of_o the_o moon_n longitude_n from_o the_o sun_n and_o that_o if_o this_o longitude_n again_o be_v double_v you_o shall_v have_v the_o motion_n of_o the_o centre_n of_o the_o moon_n epicycle_n from_o the_o apogaeum_n of_o her_o eccentrick_a which_o motion_n they_o call_v the_o centre_n of_o the_o moon_n chap._n xiii_o of_o the_o epicycle_n of_o the_o moon_n and_o how_o it_o be_v move_v the_o little_a orb_n place_v in_o the_o eccentrick_a be_v call_v the_o epicycle_n of_o the_o moon_n in_o the_o circumference_n whereof_o be_v also_o place_v the_o body_n of_o the_o moon_n represent_v by_o the_o round_a beade_n set_v into_o the_o moon_n epicycle_n in_o this_o sphere_n the_o plain_a superficies_n of_o this_o epicycle_n agree_v even_o with_o the_o plain_a of_o the_o eccentrick_a and_o the_o axtree_n about_o which_o it_o be_v move_v be_v perpendicular_a to_o the_o plain_a of_o the_o eccentrick_a this_o epicycle_n be_v move_v equal_o from_o his_o middle_a apogaeum_n about_o his_o own_o centre_n and_o axtree_n from_o the_o east_n westward_n contrary_a to_o the_o motion_n of_o the_o eccentrick_a carry_v forward_o the_o body_n of_o the_o moon_n with_o this_o motion_n 13._o degree_n and_o almost_o 4._o min._n every_o day_n and_o finish_v his_o revolution_n in_o 27._o day_n 13._o hour_n and_o 19_o minute_n almost_o the_o middle_a apogaeum_n of_o the_o epicycle_n be_v show_v by_o a_o right_a line_n imagine_v to_o be_v draw_v from_o that_o point_n of_o the_o little_a circle_n describe_v by_o the_o motion_n of_o the_o centre_n of_o the_o moon_n eccentrick_a which_o be_v opposite_a to_o the_o centre_n of_o the_o eccentrick_a by_o the_o centre_n of_o the_o epicycle_n unto_o the_o upper_a part_n of_o the_o epicycle_n but_o the_o true_a apogaeum_n of_o the_o epicycle_n be_v show_v by_o a_o right_a line_n understand_v to_o be_v draw_v from_o the_o centre_n of_o the_o earth_n by_o the_o centre_n of_o the_o epicycle_n unto_o the_o upper_a part_n of_o the_o circumference_n thereof_o by_o the_o motion_n of_o this_o epicycle_n it_o may_v easy_o be_v conceive_v why_o the_o moon_n seem_v to_o move_v sometime_o swift_o and_o somteimes_o slow_a slow_a for_o see_v that_o the_o upper_a part_n of_o the_o epicycle_n move_v contrary_a to_o the_o motion_n of_o the_o eccentrick_a from_o the_o east_n westward_n when_o the_o moon_n come_v in_o that_o part_n she_o must_v needs_o seem_v to_o move_v more_o slow_o to_o they_o that_o be_v at_o the_o centre_n of_o the_o world_n but_o when_o the_o moon_n come_v in_o the_o nether_a part_n of_o the_o epicycle_n the_o eccentrick_a carry_v the_o epicycle_n and_o the_o epicycle_n carry_v the_o body_n of_o the_o moon_n both_o one_o way_n that_o be_v from_o the_o west_n east-ward_n and_o therefore_o at_o that_o time_n the_o moon_n seem_v to_o move_v more_o swift_o according_a as_o you_o may_v see_v in_o ephemerides_n the_o d●●●ne_a motion_n of_o the_o moon_n to_o be_v sometime_o little_o more_o than_o 11._o degree_n and_o sometime_o again_o little_o less_o than_o 15._o degree_n the_o true_a motion_n of_o the_o moon_n seem_v then_o to_o be_v swift_a when_o the_o moon_n be_v in_o the_o perigaeum_n of_o her_o epicycle_n and_o the_o epicycle_n in_o the_o perigaeum_n of_o the_o eccentrick_a because_o than_o she_o be_v not_o only_o carry_v forward_o the_o same_o way_n both_o by_o her_o epicycle_n and_o eccentrick_a but_o she_o be_v also_o at_o that_o time_n near_o unto_o we_o for_o which_o cause_n her_o motion_n shall_v seem_v swift_a than_o when_o the_o epicycle_n be_v in_o other_o part_n of_o the_o eccentrick_a 〈…〉_z chap._n xiiii_o the_o definition_n of_o certain_a astronomical_a word_n of_o art_n for_o the_o better_a understanding_n of_o the_o theoric_n of_o the_o moon_n 1._o the_o line_n of_o the_o moon_n middle_a motion_n be_v a_o line_n understand_v to_o be_v draw_v from_o the_o centre_n of_o the_o earth_n by_o the_o centre_n of_o the_o moon_n epicycle_n unto_o the_o zodiac_n 2._o this_o line_n show_v the_o middle_a place_n of_o the_o moon_n in_o the_o zodiac_n 3._o and_o the_o middle_a motion_n of_o the_o moon_n be_v the_o arch_n of_o the_o zodiac_n from_o the_o begin_n of_o aries_n unto_o the_o same_o line_n 4._o so_o likewise_o the_o line_n of_o the_o true_a motion_n or_o of_o the_o true_a place_n of_o the_o moon_n be_v draw_v from_o the_o centre_n of_o the_o world_n by_o the_o centre_n of_o the_o moon_n to_o the_o zodiac_n 5._o this_o line_n therefore_o show_v the_o true_a place_n of_o the_o moon_n in_o the_o zodiac_n 6._o and_o the_o true_a motion_n of_o the_o moon_n be_v the_o arch_n of_o the_o zodiac_n from_o the_o begin_n of_o aries_n unto_o the_o true_a place_n of_o the_o moon_n 7._o the_o middle_a longitude_n of_o the_o moon_n from_o the_o sun_n
more_o year_n it_o return_v again_o into_o aries_n the_o revolution_n of_o one_o trigon_n contain_v almost_o 200._o year_n after_o which_o time_n the_o same_o great_a conjunction_n remove_v into_o the_o next_o trigon_n chap._n ix_o the_o use_n of_o the_o zodiac_n 1._o the_o zodiac_n be_v the_o measure_n of_o the_o second_o motion_n as_o the_o equinoctial_a be_v the_o measure_n of_o the_o first_o motion_n 2._o for_o in_o this_o circle_n we_o reckon_v the_o longitude_n and_o from_o it_o we_o count_v the_o latitude_n of_o all_o the_o star_n for_o the_o longitude_n of_o a_o star_n be_v nothing_o else_o but_o the_o arch_n of_o the_o ecliptck_n contain_v between_o the_o beginning_n of_o aries_n and_o the_o circle_n of_o the_o star_n latitude_n and_o the_o latitude_n be_v the_o arch_n of_o a_o great_a circle_n draw_v by_o the_o pole_n of_o the_o ecliptic_a contain_v between_o the_o star_n and_o the_o ecliptic_a 3._o according_a to_o this_o circle_n the_o whole_a heaven_n yea_o the_o whole_a world_n be_v divide_v into_o twelve_o sign_n whereof_o it_o come_v that_o because_o of_o this_o circle_n aswell_o the_o fix_a as_o the_o wander_a star_n which_o we_o call_v planet_n yea_o and_o those_o star_n also_o that_o appear_v of_o a_o sudden_a as_o blaze_a star_n or_o comet_n and_o other_o meteor_n be_v say_v to_o be_v in_o this_o or_o that_o sign_n and_o that_o three_o manner_n of_o way_n first_o to_o be_v in_o a_o sign_n be_v to_o be_v under_o some_o one_o of_o the_o 12._o part_n of_o the_o ecliptic_a thus_o the_o star_n which_o be_v under_o the_o ecliptic_a but_o especial_o the_o sun_n which_o run_v always_o under_o it_o be_v say_v to_o be_v in_o the_o sign_n second_o because_o the_o zodiac_n have_v latitude_n those_o star_n be_v say_v to_o be_v in_o a_o sign_n which_o although_o they_o be_v beside_o the_o ecliptic_a yet_o be_v under_o the_o zodiac_n and_o so_o any_o of_o the_o other_o planet_n which_o for_o the_o most_o part_n wander_v beside_o the_o ecliptic_a may_v be_v say_v to_o be_v in_o some_o sign_n three_o if_o we_o understand_v six_o great_a circle_n to_o be_v draw_v by_o the_o beginning_n of_o the_o twelve_o sign_n and_o by_o the_o pole_n of_o the_o ecliptic_a by_o these_o circle_v the_o whole_a heaven_n or_o rather_o the_o whole_a world_n be_v divide_v into_o twelve_o part_n which_o with_o a_o general_a name_n be_v call_v sign_n thus_o all_o the_o star_n aswell_o fix_v as_o planet_n and_o comet_n which_o be_v without_o the_o zodiac_n in_o any_o of_o these_o part_n may_v be_v say_v to_o be_v in_o some_o sign_n 4._o in_o this_o circle_n be_v note_v the_o degree_n of_o the_o sign_n with_o which_o the_o star_n do_v rise_v and_o set_v as_o well_o in_o a_o right_a as_o in_o a_o oblique_a sphere_n for_o because_o this_o circle_n be_v the_o chief_a all_o celestial_a appearance_n or_o at_o least_o the_o most_o part_n of_o they_o be_v refer_v unto_o it_o and_o not_o unto_o the_o equinoctial_a but_o the_o equinoctial_a measure_v the_o time_n of_o their_o rise_n and_o setting_n 5._o the_o obliquity_n of_o the_o ecliptic_a be_v the_o cause_n of_o the_o inequality_n aswell_o of_o natural_a day_n in_o both_o sphere_n as_o of_o artificial_a day_n in_o a_o oblique_a sphere_n for_o see_v it_o be_v move_v unequal_o because_o it_o be_v move_v upon_o other_o pole_n than_o his_o own_o the_o sun_n which_o be_v the_o author_n and_o maker_n of_o time_n move_v under_o it_o must_v needs_o make_v unequal_a day_n 6._o the_o chief_a time_n be_v define_v by_o this_o circle_n as_o the_o time_n of_o a_o year_n by_o the_o motion_n of_o the_o sun_n the_o time_n of_o a_o month_n by_o the_o motion_n of_o the_o moon_n through_o the_o whole_a compass_n of_o this_o circle_n also_o the_o four_o quarter_n of_o the_o year_n spring_n summer_n autumn_n and_o winter_n whereto_o may_v be_v add_v plato_n his_o great_a year_n which_o be_v the_o time_n wherein_o the_o fix_a star_n make_v one_o revolution_n about_o the_o axtree_n and_o pole_n of_o the_o zodiac_n if_o god_n will_v have_v the_o world_n to_o last_v so_o long_o 7._o the_o ecliptic_a line_n show_v the_o place_n and_o time_n of_o the_o eclipse_n for_o the_o sun_n and_o moon_n be_v eclipse_v only_o under_o it_o or_o near_o unto_o it_o 8._o as_o the_o description_n of_o the_o tropic_n depend_v on_o the_o obliquity_n of_o the_o ecliptic_a so_o the_o polar_n circle_n be_v describe_v by_o the_o pole_n thereof_o 9_o hereof_o it_o come_v that_o by_o reason_n of_o the_o same_o obliquity_n the_o zone_n and_o climate_n be_v set_v forth_o and_o bound_v 10._o this_o circle_n be_v of_o especial_a use_n in_o astrology_n for_o it_o distinguish_v the_o point_n of_o the_o 12._o house_n and_o in_o it_o the_o aspect_n and_o configuration_n of_o the_o planet_n be_v observe_v the_o chief_a judgement_n aswell_o in_o cast_v figure_n as_o in_o revolution_n and_o direction_n be_v take_v from_o this_o circle_n chap._n x._o the_o description_n of_o the_o two_o colour_n the_o two_o circle_n cross_v each_o other_o at_o right_a angle_n in_o the_o pole_n of_o the_o sphere_n be_v call_v the_o colour_n whereof_o the_o one_o that_o pass_v by_o the_o common_a meeting_n of_o the_o ecliptic_a and_o equinoctial_a be_v call_v colurus_n aequinoctiorum_fw-la that_o be_v the_o equinoctial_a colour_n or_o the_o colour_n of_o equal_a day_n and_o night_n the_o other_o pass_v by_o the_o pole_n of_o the_o ecliptic_a and_o the_o solstitial_a point_n be_v call_v colurus_n solstitiorum_fw-la the_o solstitial_a colour_n or_o colour_n of_o the_o sunne-standing_n use_v common_a to_o both_o colour_n 1._o by_o mean_n of_o these_o two_o colour_n all_o the_o movable_a circle_n of_o the_o material_a sphere_n be_v frame_v together_o that_o so_o they_o may_v be_v turn_v about_o like_v as_o the_o whole_a heaven_n be_v move_v 2._o the_o pole_n be_v fasten_v in_o the_o common_a meeting_n of_o these_o two_o circle_n and_o the_o pole_n be_v also_o show_v by_o the_o same_o common_a meeting_n 3._o they_o show_v the_o four_o principal_a point_n of_o the_o ecliptic_a that_o be_v the_o two_o equinoctial_a and_o the_o two_o solstitial_a point_n 4._o these_o circle_n show_v those_o point_n of_o the_o ecliptic_a wherein_o the_o sun_n be_v either_o equal_o distant_a from_o both_o pole_n of_o the_o sphere_n or_o come_v near_a to_o either_o of_o they_o in_o which_o point_v the_o sun_n make_v the_o day_n long_a or_o short_a or_o of_o a_o mean_a length_n between_o both_o these_o in_o a_o oblique_a sphere_n 5._o they_o divide_v the_o ecliptic_a into_o four_o quarter_n in_o which_o the_o sun_n make_v four_o quarter_n of_o the_o year_n the_o spring_n the_o summer_n autumn_n and_o winter_n 6._o they_o divide_v the_o ecliptic_a and_o equinoctial_a into_o such_o four_o quarter_n as_o in_o a_o right_a sphere_n do_v rise_v together_o in_o equal_a time_n chap._n xi_o use_v of_o the_o equinoctial_a colour_n 1._o the_o section_n of_o this_o circle_n with_o the_o ecliptic_a show_v the_o equinoctial_a point_n wherein_o the_o equinoctial_a and_o the_o ecliptic_a do_v divide_v and_o cross_v each_o other_o in_o which_o point_v the_o sun_n make_v equality_n of_o day_n and_o night_n throughout_o the_o whole_a world_n whereof_o this_o circle_n be_v also_o call_v colurus_n aequinoctiorum_fw-la that_o be_v the_o colour_n of_o equal_a day_n and_o night_n or_o the_o equinoctial_a colour_n 2._o it_o devide_v the_o ecliptic_a into_o the_o north_n and_o south_n half_n 3._o it_o devide_v the_o sign_n wherein_o the_o sun_n make_v the_o day_n long_o than_o the_o night_n from_o those_o sign_n wherein_o the_o day_n be_v make_v short_a than_o the_o night_n 4._o it_o show_v which_o half_n of_o the_o ecliptic_a and_o equator_fw-la do_v arise_v together_o in_o equal_a time_n in_o a_o oblique_a sphere_n 5._o it_o show_v the_o two_o high_a sunne-standing_n in_o a_o right_a sphere_n in_o the_o time_n of_o which_o sunne-standing_n the_o sun_n pass_v by_o the_o zenith_n chap._n xii_o use_v of_o the_o solstitial_a colour_n 1._o the_o common_a meeting_n of_o this_o circle_n with_o the_o ecliptic_a show_v the_o solstitial_a or_o tropical_a point_n in_o which_o point_v the_o sun_n seem_v to_o stand_v and_o then_o return_v back_o again_o for_o which_o cause_n this_o circle_n be_v call_v the_o colour_n of_o the_o sun-standing_n these_o point_n be_v call_v tropical_a which_o be_v as_o much_o to_o say_v as_o turne-point_n or_o point_n of_o return_n because_o that_o when_o the_o sun_n go_v always_o under_o the_o ecliptic_a come_v to_o these_o point_n which_o be_v further_a distant_a from_o the_o equinoctial_a circle_n it_o return_v again_o towards_o the_o same_o circle_n but_o they_o be_v call_v solstitial_a or_o sun-ding_a point_n because_o that_o while_o the_o sun_n be_v about_o those_o
when_o he_o be_v in_o aries_n or_o libra_n prop._n xxxiii_o to_o find_v by_o the_o sphere_n how_o much_o the_o natural_a day_n be_v long_o at_o one_o time_n of_o the_o year_n then_o at_o another_o for_o this_o purpose_n it_o will_v be_v best_a to_o take_v a_o good_a number_n of_o day_n together_o as_o for_o example_n take_v the_o whole_a month_n of_o december_n and_o the_o whole_a month_n of_o march_n both_o which_o month_n consist_v of_o the_o same_o number_n of_o 31._o natural_a day_n find_v the_o place_n of_o the_o sun_n for_o the_o beginning_n and_o end_v of_o both_o month_n which_o you_o may_v find_v by_o the_o second_o proposition_n to_o be_v for_o the_o begin_n of_o march_n this_o present_a year_n 1600._o about_o 20._o degree_n and_o 13._o minute_n of_o pisces_fw-la and_o for_o the_o end_n about_o 20._o degr_n 48._o minute_n of_o aries_n also_o for_o the_o begin_n of_o december_n the_o same_o year_n 18._o degr_n 46._o minute_n of_o s●gitarie_a and_o for_o the_o end_n 20._o degree_n 24._o minute_n of_o capricorn_n then_o seek_v out_o the_o right_a ascension_n of_o the_o same_o place_n of_o the_o sun_n for_o the_o beginning_n and_o end_n of_o both_o those_o month_n by_o the_o four_o proposition_n and_o the_o difference_n of_o ascension_n answerable_a to_o the_o motion_n of_o the_o sun_n in_o each_o month_n by_o the_o six_o proposition_n which_o you_o may_v find_v by_o the_o sphere_n to_o be_v about_o 33._o degree_n 24_o minute_n for_o december_n and_o 28._o degree_n 39_o minute_n for_o march._n last_o find_v out_o the_o difference_n of_o these_o difference_n of_o ascension_n by_o substract_v the_o lesser_a out_o of_o the_o great_a which_o in_o this_o example_n be_v 4._o degree_n 45._o minute_n which_o resolve_v into_o minute_n of_o a_o hour_n by_o take_v for_o every_o degree_n 4._o minute_n of_o a_o hour_n and_o for_o every_o 15._o minute_n of_o a_o degree_n one_o minute_n of_o a_o hour_n shall_v amount_v to_o 19_o minute_n of_o a_o hour_n that_o be_v a_o quarter_n of_o a_o hour_n and_o 4._o minute_n and_o so_o much_o be_v the_o month_n of_o december_n long_a than_o the_o month_n of_o march_n notwithstanding_o both_o of_o they_o consist_v of_o the_o same_o number_n of_o 31._o natural_a day_n the_o three_o part._n of_o the_o orb_n whereof_o the_o sphere_n of_o the_o sun_n and_o moon_n have_v be_v imagine_v to_o be_v make_v and_o of_o their_o motion_n and_o use_v chap._n i._o of_o the_o orb_n whereof_o the_o sphere_n of_o the_o sun_n be_v make_v within_o the_o sphere_n or_o orb_n contain_v all_o the_o circle_n that_o we_o have_v hitherto_o speak_v of_o and_o represent_v unto_o we_o the_o primum_fw-la mobile_a that_o be_v the_o first_o and_o high_a movable_a heaven_n that_o have_v be_v imagine_v by_o the_o astronomer_n to_o show_v the_o reason_n of_o that_o daily_a motion_n which_o appear_v to_o be_v in_o all_o the_o heaven_n and_o of_o all_o the_o apparence_n that_o follow_v thereupon_o be_v include_v the_o sphere_n and_o orb_n of_o the_o sun_n and_o moon_n the_o sphere_n of_o the_o sun_n contain_v three_o orb_n the_o uppermost_a of_o they_o which_o in_o this_o sphere_n be_v signify_v by_o the_o yellow_a circle_n that_o come_v next_o within_o the_o compass_n of_o the_o zodiac_n be_v call_v deferens_fw-la apogaeum_fw-la solis_fw-la that_o be_v the_o orb_n which_o carry_v about_o that_o point_n wherein_o the_o sun_n be_v further_a distant_a from_o the_o earth_n next_o within_o this_o orb_n be_v place_v the_o eccentrick_a carry_v about_o the_o body_n of_o the_o sun_n which_o in_o this_o sphere_n be_v represent_v by_o the_o green_a colour_a circle_n that_o come_v next_o under_o the_o deferens_fw-la apogaeum_fw-la again_o within_o this_o eccentrick_a be_v include_v the_o three_o orb_n of_o the_o sphere_n of_o the_o sun_n call_v deferens_fw-la perigaeum_n solis_fw-la that_o be_v the_o orb_n carry_v about_o that_o point_n wherein_o the_o sun_n be_v near_a to_o the_o earth_n this_o be_v the_o nethermost_a of_o the_o three_o orb_n of_o the_o sun_n and_o in_o this_o sphere_n be_v represent_v unto_o you_o by_o the_o yellow_a colour_a circle_n next_o under_o the_o sun_n eccentricke_a chap._n ii_o of_o the_o uppermost_a and_o nethermost_a orb_n of_o the_o sphere_n of_o the_o sun_n more_o particular_o in_o the_o uppermost_a and_o nethermost_a of_o these_o three_o orb_n there_o be_v 4._o point_n especial_o to_o be_v consider_v that_o be_v the_o point_n where_o they_o be_v narrow_a and_o where_o they_o be_v broad_a and_o where_o they_o be_v of_o a_o mean_a breadth_n betwixt_o the_o narrow_a and_o broad_a for_o at_o the_o narrow_a part_n of_o the_o uppermost_a orb_n where_o you_o may_v see_v write_v aux_fw-fr solis_fw-la and_o the_o broad_a part_n of_o the_o nethermost_a orb_n be_v the_o place_n of_o the_o sun_n apogaeum_n so_o that_o whensoever_o the_o sun_n come_v there_o he_o be_v further_a distant_a from_o the_o earth_n as_o you_o may_v easy_o try_v if_o with_o a_o pair_n of_o compass_n or_o otherwise_o you_o take_v the_o distance_n betwixt_o the_o earth_n and_o the_o sun_n be_v bring_v about_o to_o that_o place_n and_o compare_v the_o same_o with_o the_o distance_n that_o the_o sun_n have_v from_o the_o earth_n in_o other_o place_n this_o point_n be_v call_v aux_fw-fr solis_fw-la and_o longitude_n longior_fw-la that_o be_v the_o point_n of_o the_o sun_n further_a distance_n from_o the_o earth_n but_o under_o the_o broad_a part_n of_o the_o uppermost_a and_o uttermost_a orb_n where_o you_o see_v print_v perigaeum_n and_o right_a above_o the_o narrow_a part_n of_o the_o nethermost_a orb_n be_v the_o place_n where_o the_o sun_n come_v near_a to_o the_o earth_n as_o you_o may_v easy_o find_v with_o your_o compass_n or_o otherwise_o in_o like_a sort_n as_o before_o be_v show_v the_o point_n where_o the_o sun_n come_v near_a to_o the_o earth_n be_v call_v oppositum_fw-la a●gis_fw-la and_o longitudo_fw-la propior_fw-la that_o be_v the_o point_n opposite_a to_o the_o apogaeum_n and_o the_o near_a distance_n and_o at_o those_o part_n of_o this_o orb_n which_o be_v in_o the_o midst_n between_o the_o former_a the_o sun_n have_v a_o mean_a distance_n from_o the_o earth_n a_o mean_a i_o say_v between_o the_o least_o and_o great_a distance_n the_o very_a point_n wherein_o this_o mean_a or_o middle_a distance_n happen_v be_v show_v by_o the_o point_n that_o be_v just_a in_o the_o midst_n between_o the_o short_a line_n ab_fw-la and_o ik_fw-mi which_o be_v draw_v overthwart_o on_o either_o side_n of_o this_o orb_n these_o point_n be_v call_v longitudines_fw-la media_fw-la that_o be_v the_o mean_a distance_n of_o the_o sun_n because_o the_o sun_n come_v to_o these_o point_n have_v a_o mean_a distance_n between_o the_o least_o and_o the_o great_a about_o these_o point_n also_o the_o true_a motion_n of_o the_o sun_n be_v as_o it_o be_v in_o a_o mean_a between_o the_o slow_a which_o happen_v the_o sun_n be_v about_o the_o apogaeum_n and_o the_o swift_a which_o happen_v about_o his_o perigaeum_n moreover_o the_o line_n a_o and_o k_o show_v the_o place_n wherein_o there_o be_v the_o great_a prosthaphaerisis_n or_o equation_n of_o the_o sun_n that_o be_v the_o great_a difference_n between_o the_o true_a and_o middle_a or_o mean_a place_n of_o the_o sun_n last_o the_o distance_n between_o the_o line_n i_o and_o k_o or_o a_o and_o b_o show_v how_o much_o the_o eccentricitie_n of_o the_o sun_n eccentricke_a be_v that_o be_v how_o far_o the_o centre_n of_o the_o eccentricke_a be_v distant_a from_o the_o centre_n of_o earth_n chap._n iii_o to_o find_v how_o much_o the_o sun_n be_v near_a or_o further_o from_o the_o earth_n at_o one_o time_n then_o at_o another_o by_o mean_n of_o this_o circle_n you_o may_v easy_o find_v with_o your_o compass_n how_o much_o the_o sun_n be_v near_a to_o or_o further_o from_o the_o earth_n at_o one_o time_n then_o at_o another_o for_o have_v set_v one_o foot_n of_o the_o compass_n upon_o the_o utmost_a edge_n of_o the_o deferens_fw-la apogaeum_n under_o the_o place_n of_o the_o sun_n in_o the_o zodiac_n find_v by_o the_o second_o prop._n stretch_v out_o the_o other_o foot_n to_o the_o innermost_a edge_n of_o the_o same_o orb_n for_o then_o if_o you_o set_v one_o foot_n of_o your_o compass_n upon_o the_o utmost_a edge_n of_o this_o orb_n at_o the_o apogaeum_n the_o other_o foot_n turn_v inward_o towards_o the_o centre_n of_o the_o sphere_n will_v show_v you_o how_o much_o the_o sun_n be_v near_a to_o the_o earth_n at_o that_o time_n then_o when_o he_o be_v in_o his_o apogaeum_n for_o so_o much_o as_o that_o foot_n reach_v within_o the_o inner_a edge_n of_o the_o orb_n so_o much_o be_v the_o sun_n near_o likewise_o if_o you_o set_v one_o foot_n of_o your_o compass_n upon_o the_o
gemini_fw-la and_o that_o eclipse_n which_o shall_v be_v the_o next_o year_n after_o near_a the_o same_o intersection_n the_o 19_o of_o november_n in_o the_o morning_n shall_v be_v about_o the_o 6._o degree_n and_o 40._o minute_n of_o gemini_fw-la etc._n etc._n all_o this_o remove_n of_o the_o eclipse_n backward_o come_v to_o pass_v by_o reason_n of_o the_o motion_n of_o this_o orb_n carry_v the_o dragon_n head_n and_o tail_n contrary_a to_o the_o course_n and_o order_n of_o the_o sign_n this_o orb_n continue_v always_o right_a under_o tail_n and_o even_o with_o the_o orb_n of_o the_o sphere_n of_o the_o sun_n which_o abide_v always_o in_o all_o part_n just_a under_o the_o ecliptic_a line_n and_o have_v his_o centre_n agree_v and_o all_o one_o with_o the_o centre_n of_o the_o world_n and_o of_o the_o ecliptic_n and_o therefore_o the_o pole_n and_o axtree_n about_o which_o this_o orb_n be_v turn_v agree_v just_o with_o the_o axtree_n of_o the_o ecliptic_a the_o rest_n of_o the_o orb_n of_o the_o moon_n orb_n that_o be_v contain_v within_o this_o have_v all_o their_o plain_n agree_v in_o one_o and_o lie_v even_o one_o with_o another_o but_o the_o one_o half_a of_o all_o their_o plain_n arise_v above_o the_o plain_n of_o the_o former_a orb_n and_o of_o the_o ecliptic_a towards_o the_o north_n pole_n of_o the_o zodiac_n and_o the_o other_o half_o descend_v beneath_o the_o plain_n of_o the_o ecliptic_n towards_o the_o south_n pole_n even_o as_o the_o one_o half_a of_o the_o zodiac_n arise_v above_o the_o equinoctial_a circle_n towards_o the_o north_n and_o the_o other_o half_o descend_v towards_o the_o south_n and_o as_o the_o angle_n of_o intersection_n or_o obliquity_n of_o the_o ecliptic_n with_o the_o equinoctial_a circle_n be_v 23._o degr_n and_o a_o half_a or_o little_o more_o so_o the_o angle_n of_o intersection_n or_o obliquity_n of_o the_o plain_n of_o these_o orb_n of_o the_o moon_n from_o the_o plain_a of_o the_o ecliptic_a and_o of_o the_o former_a orb_n carry_v the_o dragon_n head_n and_o tail_n be_v 5._o degree_n or_o according_a to_o tig●●_n brahe_n his_o observation_n 5._o degr_n and_o a_o quarter_n almost_o sometime_o and_o sometime_o less_o than_o 5._o degr_n that_o point_n or_o intersection_n of_o these_o orb_n with_o the_o former_a from_o which_o they_o begin_v to_o arise_v about_o the_o plain_n of_o the_o ecliptic_n towards_o the_o north_n proceed_v east-ward_n be_v call_v the_o dragon_n head_n and_o be_v signify_v by_o this_o character_n ☊_o and_o the_o other_o point_n or_o intersection_n diametral_o opposite_a unto_o this_o be_v call_v the_o dragon_n tail_n which_o be_v also_o signify_v by_o the_o former_a character_n turn_v up_o side_n down_o after_o this_o manner_n ☋_o the_o two_o point_n of_o these_o orb_n that_o be_v further_a distant_a from_o the_o plain_a of_o the_o 〈◊〉_d be_v call_v the_o bound_n or_o limit_n of_o the_o moon_n latitude_n and_o they_o be_v 90._o deg_n from_o the_o dragon_n head_n and_o tail_n and_o 5._o deg_n and_o a_o quarter_n almost_o from_o the_o plain_n of_o the_o ecliptic_a according_a to_o the_o obliquity_n or_o great_a declination_n of_o the_o plain_n of_o these_o orb_n from_o the_o plain_n of_o the_o ecliptic_n of_o these_o two_o point_n that_o which_o be_v in_o the_o north_n side_n of_o the_o ecliptic_n be_v call_v the_o north_n limit_n or_o bind_v of_o the_o moon_n latitude_n and_o contrariwise_o the_o other_o point_n opposite_a to_o this_o on_o the_o south_n side_n of_o the_o ecliptic_a be_v call_v the_o south_n limit_v of_o the_o moon_n latitude_n and_o when_o the_o moon_n come_v to_o either_o of_o these_o two_o point_n she_o have_v her_o great_a latitude_n chap._n x._o of_o the_o orb_n carry_v the_o moon_n apogaeum_n and_o perigaeum_n next_o within_o the_o orb_n carry_v the_o dragon_n head_n and_o tail_n be_v contain_v the_o orb_n call_v deferens_fw-la apogaeum_n lunae_fw-la which_o be_v the_o point_n wherein_o the_o moon_n be_v further_a distant_a from_o the_o earth_n and_o under_o this_o orb_n be_v place_v the_o moon_n eccentrick_a which_o be_v also_o call_v deferens_fw-la epiculum_fw-la lunae_fw-la that_o be_v the_o orb_n carry_v the_o moon_n epicycle_n again_o within_o this_o eccentrick_a of_o the_o moon_n be_v contain_v the_o least_o and_o low_a orb_n of_o all_o that_o be_v in_o this_o sphere_n which_o they_o call_v diferens_n perigaeum_n lunae_fw-la that_o be_v the_o orb_n carry_v the_o moon_n perigaeum_n which_o be_v the_o point_n wherein_o the_o moon_n come_v near_a to_o the_o earth_n the_o uppermost_a and_o nethermost_a of_o these_o three_o orb_n that_o be_v to_o say_v the_o orb_n carry_v the_o moon_n apogaeum_n and_o perigaeum_n both_o which_o orb_n in_o this_o sphere_n be_v colour_v with_o blue_a be_v always_o place_v in_o such_o sort_n that_o the_o nar●●west_a part_n of_o the_o one_o be_v continual_o answerable_a to_o the_o broad_a part_n of_o the_o other_o whereby_o it_o come_v to_o pass_v that_o the_o sphere_n of_o the_o moon_n be_v make_v concentricall_a that_o be_v to_o say_v to_o have_v the_o same_o centre_n with_o the_o world_n which_o also_o be_v one_o especial_a use_n why_o these_o orb_n be_v divide_v another_o use_n of_o these_o orb_n be_v to_o show_v the_o reason_n of_o the_o motion_n of_o the_o moon_n apogaeum_n and_o perigaeum_n therefore_o both_o these_o orb_n be_v move_v together_o with_o one_o motion_n equal_o about_o the_o centre_n of_o the_o world_n in_o the_o same_o time_n from_o the_o east_n westward_n in_o the_o space_n of_o 32._o day_n 3._o hour_n and_o 5._o minute_n almost_o so_o move_v in_o one_o day_n 11._o deg_n 12._o min._n and_o 1._o three_o part_n almost_o the_o axtree_n about_o which_o these_o orb_n be_v move_v equal_o pass_v through_o the_o centre_n of_o the_o world_n and_o of_o the_o ecliptic_n but_o the_o pole_n of_o these_o orb_n differ_v from_o the_o pole_n of_o the_o ecliptic_a and_o of_o the_o orb_n carry_v the_o dragon_n head_n and_o tail_n by_o the_o space_n of_o 5._o degr_n and_o a_o quarter_n or_o thereabouts_o which_o pole_n be_v carry_v about_o the_o pole_n of_o the_o orb_n carry_v the_o dragon_n head_n and_o tail_n with_o the_o motion_n of_o the_o same_o orb_n in_o the_o space_n of_o 19_o year_n almost_o whereby_o it_o come_v to_o pass_v that_o the_o pole_n of_o the_o orb_n carry_v the_o apogaeum_n and_o perigaeum_n of_o the_o moon_n describe_v certain_a little_a circle_n about_o the_o pole_n of_o the_o orb_n that_o carry_v the_o dragon_n head_n and_o tail_n even_o as_o the_o arctic_a and_o antarctick_a circle_n in_o the_o ordinary_a sphere_n be_v describe_v by_o the_o motion_n of_o the_o pole_n of_o the_o ecliptic_a carry_v about_o daily_o with_o the_o motion_n of_o the_o first_o and_o high_a movable_a sphere_n in_o the_o space_n of_o 24._o hour_n almost_o chap._n xi_o of_o the_o eccentricke_a of_o the_o moon_n the_o eccentrick_a of_o the_o moon_n contain_v between_o the_o two_o former_a orb_n and_o colour_a with_o a_o sad_a yellow_a colour_n in_o this_o sphere_n be_v move_v equal_o about_o the_o centre_n of_o the_o same_o orb_n from_o the_o west_n towards_o the_o east_n finish_v his_o motion_n under_o the_o zodiac_n in_o the_o space_n of_o 27._o day_n and_o 8._o hour_n almost_o and_o with_o this_o motion_n it_o carry_v about_o the_o moon_n epicycle_n equal_o under_o the_o zodiac_n therefore_o the_o motion_n of_o this_o orb_n about_o his_o own_o centre_n must_v needs_o be_v unequal_a that_o be_v to_o say_v swift_a in_o those_o part_n that_o be_v about_o the_o apogaeum_n and_o slow_a in_o the_o low_a part_n about_o the_o perigaeum_n because_o that_o great_a arch_n of_o the_o eccentrick_a do_v answer_n to_o equal_a arch_n of_o the_o zodiac_n about_o the_o apogaeum_n then_o about_o the_o perigaeum_n of_o the_o eccentrick_a the_o axtree_n about_o which_o this_o orb_n be_v move_v be_v always_o in_o all_o place_n equidistant_a from_o the_o axtree_n of_o the_o orb_n carry_v the_o apogaeum_n of_o the_o moon_n and_o the_o pole_n of_o the_o axtree_n of_o the_o moon_n eccentrick_a be_v fasten_v in_o the_o orb_n carry_v the_o moon_n apogaeum_n equidistant_o from_o the_o pole_n of_o the_o same_o orb_n therefore_o these_o pole_n together_o with_o the_o whole_a axtree_n of_o the_o eccentrick_a be_v carry_v and_o equal_o move_v about_o the_o pole_n and_o axtree_n of_o the_o orb_n carry_v the_o apogaeum_n from_o the_o east_n towards_o the_o west_n with_o this_o motion_n therefore_o the_o pole_n and_o centre_n of_o the_o eccentrick_a describe_v certain_a little_a circle_n of_o equal_a bigness_n about_o the_o pole_n and_o centre_n of_o the_o orb_n carry_v the_o apogaeum_n from_o the_o east_n westward_n and_o therefore_o also_o the_o apogaeum_n of_o the_o eccentrick_a be_v move_v about_o equal_o under_o the_o ecliptic_n contrary_a to_o the_o