Selected quad for the lemma: world_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
world_n	circle_n	pass_v	pole_n	1,949	5	11.4508	5	false

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

or_o that_o part_n of_o the_o zodiac_n the_o eclipse_n of_o the_o moon_n continue_v long_a or_o short_a time_n so_o as_o she_o abide_v under_o the_o shadow_n of_o the_o earth_n more_o one_o time_n than_o another_o all_o which_o thing_n be_v salve_v by_o suppose_v a_o excentricke_a be_v the_o deferent_a of_o the_o sun_n and_o the_o circle_n excentrique_fw-la ownself_o thing_n no_o for_o though_o they_o have_v both_o oneself_o centre_n call_v the_o centre_n of_o the_o excentrique_fw-la yet_o the_o circle_n excentricke_a be_v the_o circumference_n of_o a_o circle_n imagine_v to_o be_v in_o the_o middle_n of_o the_o deferent_a &_o be_v describe_v by_o the_o centre_n of_o the_o sun_n body_n devide_v the_o deferent_a into_o two_o equal_a part_n or_o hemisphere_n as_o you_o may_v see_v in_o the_o second_o figure_n next_o follow_v the_o second_o intention_n show_v what_o move_v these_o orb_n and_o circle_n before_o mention_v have_v and_o upon_o what_o pole_n and_o axletree_n they_o be_v turn_v about_o before_o i_o come_v to_o the_o declaration_n thereof_o it_o shall_v be_v necessary_a to_o set_v down_o one_o other_o figure_n contain_v the_o most_o part_n of_o such_o line_n point_n centre_n circle_n semicircle_n and_o arch_n as_o do_v belong_v to_o the_o theoric_n of_o the_o sun_n and_o to_o show_v what_o they_o signify_v i_o say_v here_o before_o the_o most_o part_n because_o both_o these_o &_o all_o the_o rest_n shall_v be_v more_o full_o declare_v when_o we_o come_v to_o the_o three_o intention_n who_o office_n be_v to_o show_v all_o such_o thing_n at_o the_o full_a ¶_o the_o second_o figure_n belong_v to_o the_o theoric_n of_o the_o sun_n in_o this_o figure_n the_o outermost_a white_a orb_n signify_v the_o zodiac_n in_o which_o be_v describe_v the_o character_n of_o the_o twelve_o sign_n and_o the_o next_o white_a orb_n within_o that_o be_v the_o deferent_a of_o the_o sun_n in_o which_o be_v a_o little_a circle_n represent_v the_o body_n of_o the_o sun_n who_o centre_n be_v mark_v with_o the_o letter_n h._n and_o the_o two_o black_a orb_n be_v the_o two_o deferent_n of_o the_o auge_n of_o the_o sun_n before_o describe_v and_o in_o the_o middle_n white_a rundle_n be_v set_v down_o the_o two_o centre_n before_o describe_v that_o be_v the_o centre_n of_o the_o world_n mark_v with_o the_o letter_n a._n and_o the_o centre_n of_o the_o deferent_a of_o the_o sun_n mark_v with_o the_o letter_n b._n moreover_o in_o this_o figure_n be_v draw_v certain_a right_a line_n whereof_o the_o long_a perpendicule_a line_n pass_v through_o both_o the_o foresay_a centre_n mark_v with_o the_o letter_n c._n d._n be_v call_v the_o line_n of_o the_o auge_n and_o the_o overthwart_a line_n pass_v through_o the_o centre_n of_o the_o world_n to_o the_o zodiac_n mark_v with_o the_o letter_n e._n f._n signify_v the_o axe_n tree_n of_o the_o zodiac_n who_o outermost_a end_n be_v the_o pole_n of_o the_o ecliptic_n then_o there_o be_v another_o overthwart_a right_a line_n parallel_n to_o the_o foresay_a line_n e._n f._n which_o pass_v through_o the_o centre_n excentrique_fw-la extend_v unto_o the_o deferent_a of_o the_o sun_n from_o the_o one_o side_n to_o the_o other_o side_n thereof_o who_o outermost_a end_n be_v the_o pole_n of_o the_o say_v deferent_a mark_v with_o the_o letter_n k._n l._n beside_o these_o three_o line_n there_o be_v three_o other_o line_n whereof_o that_o which_o pass_v from_o the_o centre_n of_o the_o world_n to_o the_o zodiac_n mark_v with_o the_o letter_n a._n g._n be_v call_v the_o line_n of_o the_o sun_n mean_v move_v then_o there_o be_v another_o line_n parallel_n to_o that_o which_o pass_v from_o the_o centre_n of_o the_o deferent_a to_o the_o centre_n or_o midst_n of_o the_o sun_n body_n mark_v with_o the_o letter_n b._n h._n and_o the_o three_o line_n pass_v from_o the_o centre_n of_o the_o world_n through_o the_o midst_n of_o the_o sun_n body_n even_o to_o the_o zodiac_n be_v call_v the_o line_n of_o the_o sun_n true_a move_n mark_v with_o the_o letter_n a._n h._n i._n there_o be_v also_o in_o this_o figure_n certain_a portion_n of_o circle_n call_v arch_n which_o have_v their_o proper_a signification_n as_o the_o arch_n of_o the_o zodiac_n contain_v betwixt_o the_o first_o point_n of_o aries_n and_o the_o line_n of_o the_o auge_n mark_v with_o the_o letter_n e._n c._n be_v call_v the_o auge_n of_o the_o sun_n in_o his_o second_o signification_n and_o the_o arch_n contain_v betwixt_o e._n and_o g._n be_v call_v the_o mean_a move_n of_o the_o sun_n and_o the_o arch_n contain_v betwixt_o e._n and_o i._o be_v call_v the_o true_a move_n of_o the_o sun_n and_o the_o arch_n contain_v betwixt_o g._n and_o i._o be_v call_v the_o equation_n of_o the_o sun_n and_o the_o arch_n contain_v betwixt_o the_o line_n of_o the_o mean_a move_n of_o the_o sun_n and_o the_o line_n of_o the_o auge_n mark_v with_o the_o letter_n c._n g._n be_v call_v of_o some_o argumentum_fw-la and_o of_o some_o anomalia_fw-la that_o be_v the_o inequality_n of_o the_o sun_n move_v all_o which_o arch_n shall_v be_v more_o full_o show_v and_o declare_v in_o the_o three_o figure_n next_o follow_v there_o be_v also_o in_o this_o figure_n three_o little_a semicircle_n whereof_o the_o two_o mark_v with_o the_o letter_n k._n p._n and_o l._n m._n do_v signify_v those_o circle_n which_o the_o pole_n of_o the_o excentrique_fw-la do_v describe_v by_o the_o move_n of_o the_o two_o deferent_n of_o the_o auge_n and_o the_o three_o semicircle_n mark_v with_o the_o letter_n b._n n._n signify_v that_o circle_n which_o the_o centre_n of_o the_o excentrique_fw-la describe_v by_o the_o move_n of_o the_o say_a deferent_n of_o the_o auge_n about_o the_o centre_n of_o the_o world_n the_o semidiameter_n of_o all_o which_o circle_n be_v equal_a do_v the_o theoric_n of_o the_o sun_n only_o consist_v of_o the_o three_o orb_n about_o mention_v that_o be_v of_o the_o deferent_a of_o the_o sun_n and_o of_o the_o two_o deferent_n of_o the_o auge_n though_o the_o ancient_a astronomer_n do_v appoint_v no_o more_o but_o those_o three_o yet_o copernicus_n have_v find_v by_o many_o observation_n make_v by_o himself_o and_o other_o since_o their_o time_n that_o the_o auge_n of_o the_o sun_n do_v move_v unequal_o and_o that_o the_o excentricity_n do_v alter_v he_o therefore_o to_o salve_v that_o appearance_n do_v add_v another_o orb_n call_v the_o excentor_n of_o the_o excentrique_fw-la which_o indeed_o be_v two_o shadow_v orb_n enclose_v one_o another_o like_o as_o the_o two_o black_a orb_n do_v the_o shape_n whereof_o you_o may_v see_v plain_o express_v in_o the_o sphere_n of_o mercury_n hereafter_o follow_v now_o show_v how_o the_o foresay_a three_o orb_n be_v move_v and_o first_o how_o the_o excentrique_fw-la of_o the_o sun_n be_v move_v and_o in_o what_o time_n he_o make_v his_o revolution_n the_o excentrique_fw-la or_o deferent_a of_o the_o sun_n be_v regular_o move_v upon_o his_o own_o centre_n according_a to_o the_o succession_n of_o the_o sign_n right_a under_o the_o ecliptic_n and_o make_v his_o revolution_n in_o the_o space_n of_o one_o whole_a year_n that_o be_v in_o 365_o day_n and_o almost_o six_o hour_n and_o by_o the_o revolution_n of_o this_o orb_n be_v describe_v or_o limit_v the_o sun_n year_n and_o you_o have_v to_o note_v that_o the_o table_n of_o alphonsus_n and_o the_o prutenicall_a table_n do_v in_o a_o manner_n agree_v touch_v the_o daily_a move_n of_o this_o orb_n which_o be_v i59·_fw-la ii8·_fw-la iii19·_fw-la iiii37·_fw-la and_o v._o 24·_n so_o as_o his_o yearly_a revolution_n contain_v 365_o day_n 5._o hour_n i49·_fw-la ii15·_fw-la iii46·_fw-la save_v that_o the_o table_n of_o alphonsus_n do_v fail_v in_o the_o daily_a move_n v._o 5·_v and_o thereby_o in_o the_o yearly_a revolution_n do_v exceed_v the_o prutenicall_a table_n by_o iii13·_n and_o so_o much_o be_v the_o equal_a tropical_a year_n according_a to_o copernicus_n count_v the_o same_o from_o the_o very_a equinoctial_a point_n but_o the_o daily_a move_n of_o the_o sun_n be_v count_v from_o the_o first_o star_n of_o the_o ram_n horn_n be_v i59·_fw-la ii8·_fw-la iii11·_fw-la iiii22·_fw-la v._o 10·_fw-la so_o as_o his_o yearly_a revolution_n contain_v 365_o day_n 6_o hour_n i9·_n and_o ii39·_fw-la and_o this_o be_v call_v the_o syderall_a year_n the_o pole_n of_o this_o orb_n do_v equal_o observe_v the_o pole_n of_o the_o ecliptic_n and_o therefore_o the_o centre_n of_o the_o sun_n body_n do_v never_o swerve_v from_o the_o ecliptic_a line_n why_o do_v not_o this_o orb_n also_o carry_v the_o sun_n equal_o about_o the_o centre_n of_o the_o world_n because_o that_o every_o circular_a move_n that_o be_v equal_a make_v in_o equal_a time_n in_o his_o circumference_n both_o equal_a arch_n and_o also_o equal_a

the_o ecliptic_a do_v cross_v or_o cut_v one_o another_o in_o the_o very_a centre_n of_o the_o world_n mark_v with_o d_o and_o because_o the_o auge_n of_o the_o three_o planet_n be_v all_o distant_a from_o the_o ecliptic_a towards_o the_o north_n therefore_o the_o centre_n of_o their_o excentriques_n must_v needs_o be_v also_o northerly_a and_o out_o of_o the_o centre_n of_o the_o ecliptic_a so_o as_o the_o centre_n of_o the_o excentrique_fw-la for_o saturn_n be_v to_o be_v find_v in_o the_o line_n a_o d_o and_o for_o mars_n in_o the_o line_n b_o d_o and_o for_o jupiter_n in_o the_o line_n e_o d._n and_o the_o auge_n of_o saturn_n be_v mark_v with_o a_o and_o that_o of_o mars_n with_o b_o and_o that_o of_o jupiter_n with_o e._n moreover_o the_o right_a line_n mark_v with_o the_o letter_n b_o f_o c_o g_o h_o represent_v the_o plane_n of_o the_o great_a circle_n pass_v as_o well_o through_o the_o pole_n of_o the_o ecliptic_a as_o also_o through_o that_o right_a line_n which_o pass_v through_o the_o centre_n of_o the_o world_n be_v erect_v with_o right_a angle_n upon_o the_o plane_n of_o the_o excentrique_fw-la for_o this_o plane_n of_o the_o great_a circle_n do_v divide_v the_o arch_n as_o well_o of_o the_o eccentric_a as_o also_o of_o the_o ecliptic_a two_o manner_n of_o way_n which_o arch_n be_v distinguish_v in_o this_o figure_n by_o the_o two_o usual_a character_n signify_v the_o two_o nodes_fw-la otherwise_o call_v the_o head_n and_o tail_n of_o the_o dragon_n and_o either_o of_o the_o two_o distance_n f_o b_o or_o g_o h_n show_v the_o great_a declination_n of_o the_o two_o plane_n and_o final_o the_o point_n b_o be_v the_o limit_n of_o the_o north_n latitude_n and_o g_o the_o limit_n of_o the_o south_n latitude_n of_o any_o of_o the_o three_o planet_n thus_o you_o may_v perceive_v that_o the_o auge_n of_o the_o excentrique_fw-la of_o mars_n be_v always_o in_o the_o north_n limit_n and_o his_o opposite_a auge_n in_o the_o south_n limit_n but_o the_o auge_n of_o jupiters_n excentrique_fw-la mark_v in_o the_o former_a figure_n with_o e_o go_v before_o the_o north_n limit_n b_o that_o be_v to_o say_v the_o centre_n of_o jupiters_n epicicle_n come_v to_o the_o auge_n of_o his_o excentrique_fw-la before_o that_o it_o arrive_v to_o the_o north_n limit_n and_o final_o the_o auge_n of_o saturn_n his_o excentrique_fw-la mark_v in_o the_o say_a figure_n with_o a_o follow_v after_o the_o north_n limit_n so_o as_o the_o centre_n of_o his_o epicicle_n arrive_v to_o the_o north_n limit_n before_o it_o come_v to_o the_o auge_n of_o his_o excentrique_fw-la and_o the_o follower_n of_o alphonsus_n do_v make_v the_o node_n ascendent_a of_o mars_n to_o be_v at_o this_o day_n in_o the_o sixteenth_o degree_n of_o taurus_n and_o his_o node_n descendent_a to_o be_v in_o the_o sixteenth_o degree_n of_o scorpio_n and_o the_o node_n ascendent_a of_o jupiter_n to_o be_v in_o the_o 14_o degree_n of_o cancer_n and_o his_o node_n descendent_a to_o be_v in_o the_o 14_o degree_n of_o capricorn_n and_o his_o north_n limit_v to_o be_v in_o the_o 14_o degree_n of_o libra_n and_o the_o node_n ascendent_a of_o saturn_n to_o be_v in_o the_o 24_o degree_n of_o cancer_n and_o his_o node_n descendent_a to_o be_v in_o the_o 24_o degree_n of_o capricorn_n because_o his_o north_n limit_n be_v in_o the_o 24_o degree_n of_o libra_n so_o as_o there_o be_v no_o great_a difference_n betwixt_o saturn_n and_o jupiter_n touch_v their_o limit_n and_o partly_o hereby_o and_o partly_o by_o that_o which_o follow_v hereafter_o it_o shall_v manifest_o appear_v that_o saturn_n while_o he_o pass_v through_o the_o one_o half_a of_o the_o zodiac_n count_v from_o the_o 24_o degree_n of_o cancer_n unto_o the_o 24_o degree_n of_o capricorn_n he_o have_v always_o north_n latitude_n and_o while_o he_o pass_v through_o the_o other_o half_n of_o the_o zodiac_n he_o have_v always_o south_n latitude_n wherefore_o consider_v that_o he_o make_v his_o whole_a revolution_n in_o thirty_o year_n he_o have_v continual_o during_o the_o space_n of_o 15_o year_n north_n latitude_n and_o during_o the_o other_o 15_o year_n south_n latitude_n and_o the_o like_a be_v to_o be_v judge_v of_o jupiter_n and_o mars_n according_a to_o the_o time_n of_o their_o entire_a revolution_n for_o jupiter_n make_v his_o revolution_n in_o 12_o year_n and_o mars_n in_o 2_o year_n but_o mestlyn_n follow_v copernicus_n set_v down_o the_o place_n of_o the_o north_n limit_n and_o node_n ascendent_a of_o every_o one_o of_o the_o three_o upper_a planet_n in_o this_o manner_n that_o be_v to_o say_v the_o north_n limit_n of_o ♄_o to_o be_v in_o these_o day_n in_o the_o 9_o degree_n i10°_n of_o m_o and_o that_o of_o ♃_o to_o be_v in_o the_o 26_o degree_n i40°_n of_o ♎_o and_o that_o of_o ♂_o to_o be_v in_o the_o 28_o degree_n i24°_n of_o ♎_o again_o the_o node_n ascendent_a of_o ♄_o to_o be_v in_o the_o 9_o degree_n i10°_n of_o ♌_o and_o that_o of_o ♃_o to_o be_v in_o the_o 26_o degree_n i40°_n of_o 69_o and_o that_o of_o ♂_o to_o be_v in_o the_o 28_o degree_n i24°_n of_o ♉_o and_o as_o for_o the_o south_n limit_n and_o the_o node_n descendent_a of_o every_o planet_n each_o one_o do_v occupy_v in_o the_o zodiac_n such_o degree_n and_o minute_n as_o be_v opposite_a to_o the_o place_n of_o the_o north_n limit_n and_o of_o the_o node_n ascendent_a of_o every_o one_o of_o the_o say_a planet_n before_o set_v down_o and_o mestlyn_n say_v that_o as_o the_o great_a latitude_n of_o the_o moon_n either_o north_n or_o south_n from_o the_o ecliptic_a be_v only_o five_o degree_n so_o he_o appoint_v to_o the_o great_a latitude_n of_o the_o excentrique_fw-la of_o ♄_o from_o the_o ecliptic_a but_o 2_o degree_n i30°_n and_o to_o that_o of_o ♃_o 1_o degree_n i30°_n and_o to_o that_o of_o ♂_o 1_o degree_n i0°_n now_o to_o show_v the_o second_o manner_n of_o latitude_n belong_v to_o the_o three_o upper_a planet_n cause_v by_o the_o incline_v of_o the_o true_a auge_n of_o the_o epicicle_n from_o the_o excentrique_fw-la i_o mind_v therein_o to_o follow_v mes●lyn_n who_o affirm_v that_o kind_n of_o latitude_n to_o be_v twofold_a whereof_o the_o one_o be_v call_v inclination_n and_o the_o other_o reflection_n neither_o of_o they_o be_v fix_v but_o mutable_a and_o yet_o proportionable_a to_o the_o period_n of_o their_o excentriques_n for_o the_o better_a understanding_n whereof_o he_o set_v down_o this_o figure_n follow_v ¶_o the_o sixth_o figure_n belong_v to_o the_o three_o upper_a planet_n in_o which_o figure_n the_o centre_n a_o be_v the_o centre_n of_o the_o world_n whereupon_o be_v draw_v the_o outermost_a circle_n signify_v the_o plane_n of_o the_o zodiac_n mark_v with_o the_o letter_n b_o c_o d_o e_o pass_v through_o the_o pole_n of_o the_o ecliptic_a mark_v with_o the_o letter_n c_o e._n then_o upon_o the_o centre_n f_o be_v draw_v another_o circle_n signify_v the_o plane_n of_o the_o excentrique_fw-la mark_v with_o the_o letter_n g_o h_n i_o k_o pass_v through_o the_o pole_n of_o the_o excentrique_fw-la mark_v with_o the_o letter_n m_o o_fw-fr and_o also_o through_o the_o north_n limit_n mark_v with_o l_o and_o through_o the_o south_n limit_n mark_v with_o n_n and_o the_o two_o little_a circle_n place_v upon_o the_o excentrique_fw-la each_o of_o they_o signify_v the_o epicicle_n and_o you_o have_v to_o note_v that_o the_o plane_n of_o the_o motion_n of_o the_o say_v excentrique_fw-la be_v signify_v here_o by_o the_o right_a line_n mark_v with_o the_o letter_n l_o f_o n_n which_o cut_v the_o ecliptic_a in_o the_o centre_n a_o so_o as_o when_o the_o centre_n of_o the_o epicicle_n be_v in_o l_o it_o have_v then_o his_o great_a north_n latitude_n likewise_o be_v in_o n_n it_o have_v his_o great_a south_n latitude_n and_o by_o this_o figure_n you_o may_v perceive_v that_o the_o one_o pole_n of_o the_o excentrique_fw-la be_v more_o distant_a from_o the_o pole_n of_o the_o ecliptic_a than_o the_o other_o for_o o_o be_v more_o distant_a from_o k_o than_o h_n 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this_o which_o have_v be_v and_o shall_v be_v say_v hereafter_o all_o those_o that_o do_v write_v of_o the_o theoriques_n do_v set_v down_o this_o figure_n here_o follow_v ¶_o the_o second_o figure_n belong_v to_o the_o theoric_n of_o mercury_n this_o figure_n as_o you_o see_v consist_v of_o diverse_a circle_n some_o great_a some_o lesser_a and_o of_o diverse_a right_a line_n some_o long_a some_o short_a and_o of_o the_o circular_a line_n there_o be_v one_o that_o have_v a_o shape_n ovale_n like_v to_o a_o egg_n and_o there_o be_v two_o other_o the_o one_o like_v to_o a_o half_a moon_n and_o the_o other_o like_a to_o a_o oyster_n shell_n or_o cockle_n shell_n all_o which_o thing_n whereto_o they_o serve_v and_o what_o they_o signify_v shall_v be_v here_o declare_v by_o help_n of_o the_o letter_n therein_o contain_v for_o the_o double_a round_o and_o great_a circle_n be_v divide_v into_o twelve_o equal_a part_n mark_v with_o arithmetical_a figure_n signify_v the_o circle_n equant_fw-la 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be_v in_o g_o and_o his_o opposite_a auge_n in_o l_o and_o if_o his_o centre_n be_v in_o o_o than_o his_o auge_n shall_v be_v in_o ay_o and_o his_o opposite_a auge_n in_o m_n and_o if_o his_o centre_n be_v in_o r_n than_o his_o auge_n will_v be_v in_o s_n and_o his_o opposite_a auge_n in_o t_n but_o if_o his_o centre_n be_v in_o five_o than_o his_o auge_n will_v be_v in_o x_o and_o his_o opposite_a auge_n in_o you_o so_o likewise_o if_o his_o centre_n be_v in_o z_o his_o auge_n will_v be_v in_o a_o and_o his_o opposite_a auge_n in_o d_o and_o if_o his_o centre_n be_v in_o c_o than_o his_o auge_n will_v be_v in_o b_o and_o his_o opposite_a auge_n in_o e._n and_o the_o outermost_a bound_n of_o the_o wander_n of_o the_o auge_n be_v the_o two_o letter_n g_z and_o i_o and_o the_o bound_n of_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 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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

even_o as_o the_o mean_a equinox_n of_o the_o nine_o sphere_n move_v 3._o this_o sphere_n be_v apparent_a to_o the_o eye_n by_o reason_n of_o the_o multitude_n of_o star_n which_o be_v therein_o the_o move_n of_o all_o which_o star_n and_o all_o other_o the_o inferior_a light_n be_v account_v or_o reckon_v from_o the_o first_o star_n of_o the_o ram_n horn_n as_o from_o a_o visible_a beginning_n although_o the_o same_o be_v unstable_a by_o reason_n of_o the_o changeable_a move_n of_o the_o precession_n of_o the_o mean_a vernal_a equinox_n as_o for_o example_n suppose_v in_o this_o figure_n the_o line_n k_o g_z to_o be_v the_o true_a ecliptic_a and_o i_o f_o to_o be_v the_o aequinoctial_a of_o the_o first_o moovable_a cross_v one_o another_o in_o the_o point_n a_o which_o represent_v the_o true_a equinox_n unto_o which_o point_n when_o the_o sun_n come_v it_o be_v equinox_n throughout_o all_o the_o world_n and_o suppose_v m_o to_o be_v the_o first_o star_n of_o the_o ram_n horn_n through_o which_o a_o right_a perpendicular_a line_n pass_v signify_v a_o great_a circle_n draw_v through_o the_o first_o star_n of_o the_o ram_n horn_n &_o also_o through_o the_o pole_n of_o the_o true_a ecliptic_a and_o suppose_v l_o h_n to_o be_v another_o great_a circle_n draw_v through_o the_o true_a aequinoctial_a point_n a_o and_o through_o the_o pole_n of_o the_o true_a ecliptic_a so_o shall_v m_n a_o be_v the_o true_a precession_n of_o the_o vernal_a equinox_n in_o like_a manner_n suppose_v the_o line_n d_o e_o to_o be_v another_o great_a circle_n pass_v through_o the_o point_n e_o signify_v the_o mean_a equinox_n and_o also_o through_o the_o pole_n of_o the_o true_a ecliptic_a so_o as_o the_o arch_n of_o the_o true_a ecliptic_a which_o be_v comprehend_v betwixt_o m_n and_o e_o be_v the_o mean_a precession_n of_o the_o vernal_a equinox_n and_o this_o mean_a precession_n be_v ready_o find_v by_o the_o 14_o cannon_n as_o the_o 8_o precept_n teach_v and_o the_o title_n thereof_o in_o the_o say_v 14_o cannon_n be_v praecessionis_fw-la aequinoctiorum_fw-la but_o the_o true_a precession_n be_v to_o be_v find_v by_o help_n of_o the_o prosthapheresis_fw-la which_o be_v define_v in_o the_o three_o definition_n of_o the_o three_o chapter_n and_o although_o that_o there_o be_v many_o other_o circle_v both_o great_a and_o little_a which_o the_o astronomer_n use_v as_o the_o circle_n of_o position_n azimuth_n and_o many_o other_o yet_o will_v i_o only_o speak_v of_o such_o circle_n arch_n and_o point_n in_o the_o heaven_n as_o be_v belong_v to_o our_o present_a purpose_n because_o i_o have_v speak_v of_o the_o other_o in_o my_o sphere_n show_v what_o be_v the_o longitude_n latitude_n and_o declination_n of_o any_o star_n or_o point_n in_o this_o heaven_n 5._o the_o longitude_n of_o any_o star_n be_v a_o arch_n of_o the_o ecliptic_a comprehend_v betwixt_o the_o true_a vernal_a equinox_n and_o the_o circle_n of_o latitude_n of_o the_o say_a star_n or_o point_n 6._o the_o circle_n of_o latitude_n be_v a_o great_a circle_n pass_v through_o the_o pole_n of_o the_o true_a ecliptic_a and_o the_o centre_n of_o the_o star_n of_o which_o circle_n that_o part_n which_o be_v betwixt_o the_o centre_n of_o the_o star_n and_o the_o true_a ecliptic_a be_v call_v the_o latitude_n of_o the_o star_n 7._o the_o circle_n of_o declination_n be_v a_o great_a circle_n pass_v through_o the_o pole_n of_o the_o world_n and_o through_o the_o centre_n of_o any_o star_n or_o other_o point_n in_o the_o firmament_n and_o that_o part_n of_o this_o circle_n which_o be_v contain_v betwixt_o the_o say_a star_n and_o the_o true_a aequinoctial_a line_n be_v call_v the_o declination_n of_o the_o star_n chap._n v._n of_o the_o seven_o heaven_n that_o be_v the_o heaven_n of_o saturn_n 1._o the_o seven_o heaven_n be_v situate_v next_o under_o the_o eight_o heaven_n or_o sphere_n and_o move_v from_o west_n to_o east_n and_o be_v only_o proper_a to_o saturn_n which_o be_v the_o high_a planet_n who_o orb_n and_o motion_n thereof_o this_o figure_n here_o follow_v do_v plain_o show_v ¶_o the_o first_o figure_n belong_v to_o the_o theoric_n of_o saturn_n together_o with_o the_o description_n thereof_o in_o this_o figure_n consist_v of_o certain_a circle_n &_o right_a line_n you_o see_v that_o the_o three_o outermost_a great_a circle_n draw_v upon_o the_o p●int_a a_o signify_v the_o centre_n of_o the_o world_n do_v enclose_v two_o w●●●te_n several_a space_n and_o in_o each_o space_n be_v set_v down_o the_o character_n of_o the_o 12_o sign_n of_o which_o two_o space_n the_o outermost_a represent_v the_o ecliptic_a both_o of_o the_o 10_o and_o 9_o heaven_n the_o beginning_n of_o which_o ecliptic_a be_v mark_v on_o the_o right_a hand_n with_o the_o letter_n d_o signify_v the_o true_a vernal_a equinox_n and_o the_o next_o space_n under_o that_o represent_v the_o ecliptic_a of_o the_o eight_o heaven_n who_o beginning_n be_v mark_v with_o a_o little_a star_n ●ignifying_v the_o first_o star_n of_o the_o ram_n horn_n 2._o and_o the_o two_o black_a orb_n do_v represent_v the_o deferent_n of_o the_o auge_n which_o auge_n be_v mark_v with_o the_o letter_n i_o &_o the_o opposite_a auge_n with_o the_o letter_n r_o which_o deferent_n do_v move_v regular_o and_o do_v make_v their_o revolution_n in_o 35333_o egyptian_a year_n and_o betwixt_o the_o two_o black_a orb_n be_v another_o white_a orb_n signify_v the_o orbe_fw-la excentrique_fw-la draw_v upon_o his_o own_o centre_n mark_v with_o the_o letter_n b_o in_o the_o midst_n of_o which_o broad_a white_a circle_n be_v another_o circle_n describe_v by_o the_o centre_n of_o the_o epicicle_n mark_v with_o the_o letter_n e_o upon_o which_o point_n e_z be_v draw_v a_o little_a circle_n signify_v the_o epicicle_n itself_o which_o carry_v the_o body_n of_o the_o planet_n in_o the_o circumference_n whereof_o be_v a_o little_a star_n represent_v the_o body_n of_o saturn_n you_o see_v also_o that_o there_o be_v another_o circle_n which_o cross_v the_o foresay_a middle_a circle_n of_o the_o excentrique_fw-la in_o two_o point_n opposite_a draw_v upon_o his_o own_o centre_n mark_v with_o c_o and_o be_v call_v the_o circle_n equant_fw-la the_o motion_n of_o which_o circle_n and_o also_o the_o signification_n of_o the_o right_a line_n and_o arch_n in_o this_o figure_n contain_v be_v by_o help_n of_o the_o letter_n hereafter_o declare_v for_o the_o right_a line_n which_o be_v draw_v from_o the_o point_n a_o unto_o the_o point_n i_o and_o so_o forth_o to_o the_o ecliptic_a be_v call_v the_o line_n of_o auge_n and_o the_o point_n or_o degree_n of_o the_o ecliptic_a into_o which_o the_o line_n of_o the_o auge_n fall_v be_v call_v the_o place_n of_o the_o auge_n which_o for_o example_n sake_n suppose_v to_o be_v in_o the_o first_o point_n of_o gemini_fw-la mark_v with_o the_o letter_n f._n and_o the_o arch_n comprehend_v betwixt_o the_o point_n f_o and_o the_o first_o star_n of_o the_o ram_n horn_n signify_v by_o the_o little_a star_n set_v down_o on_o the_o right_a hand_n in_o the_o true_a ecliptic_a be_v call_v the_o mean_a motion_n of_o the_o auge_n and_o the_o right_a line_n a_o b_o be_v call_v the_o excentricity_n of_o the_o excentrique_fw-la contain_v in_o length_n 3_o degree_n i25·_n and_o the_o right_a line_n a_o c_o be_v the_o excentricity_n of_o the_o circle_n equant_fw-la contain_v in_o length_n 6_o degree_n i50·_n 3._o the_o auge_n be_v that_o point_n in_o the_o superficies_n of_o the_o excentrique_fw-la which_o be_v further_a distant_a from_o the_o centre_n of_o the_o world_n mark_v with_o the_o letter_n 1._o but_o the_o opposite_a auge_n be_v that_o point_n in_o the_o superficies_n of_o the_o say_v excentrique_fw-la which_o be_v near_a unto_o the_o centre_n of_o the_o world_n mark_v with_o the_o letter_n r._n 4._o the_o place_n of_o each_o point_n be_v show_v by_o a_o right_a line_n draw_v through_o the_o centre_n of_o the_o world_n &_o also_o through_o the_o auge_n of_o the_o excentrique_fw-la unto_o the_o zodiac_n of_o the_o eight_o heaven_n mark_v with_o the_o character_n of_o the_o twelve_o sign_n and_o the_o line_n so_o draw_v be_v call_v the_o line_n of_o auge_n 5._o the_o mean_a motion_n of_o the_o auge_n be_v a_o arch_n of_o the_o ecliptic_a proceed_v from_o the_o first_o star_n of_o the_o ram_n horn_n unto_o the_o place_n of_o the_o auge_n and_o be_v find_v in_o such_o order_n as_o be_v show_v in_o the_o eight_o precept_n by_o help_n of_o the_o 13_o and_o 14_o cannon_n in_o that_o column_n who_o title_n be_v apogaea_n saturni_n 6._o but_o the_o true_a motion_n of_o the_o auge_n be_v a_o arch_n of_o the_o ecliptic_a begin_v at_o the_o true_a vernal_a equinox_n and_o end_v at_o the_o place_n of_o the_o auge_n the_o manner_n how_o to_o find_v the_o

centre_n of_o the_o excentrique_fw-la to_o describe_v a_o little_a circle_n about_o the_o centre_n of_o the_o world_n who_o semidiameter_n be_v equal_a to_o the_o excentricity_n which_o little_a circle_n you_o may_v see_v in_o the_o first_o figure_n of_o the_o moon_n theoric_n mark_v with_o the_o letter_n b._n h_n enuiron_v the_o centre_n of_o the_o zodiac_n mark_v with_o the_o letter_n a._n and_o the_o daily_a move_n of_o these_o deferent_n of_o the_o auge_n contrary_a to_o the_o succession_n of_o the_o sign_n be_v eleven_o degree_n i12·_fw-la ii18·_fw-la iii21·_fw-la iiii52·_fw-la v._o 33·_fw-la make_v one_o whole_a revolution_n in_o 32_o day_n three_o hour_n i4·_fw-la ii38·_fw-la iii●°_n how_o and_o in_o what_o manner_n be_v the_o epicicle_n move_v or_o turn_v about_o this_o epicicle_n be_v place_v in_o the_o excentrique_fw-la and_o elevate_v above_o the_o centre_n of_o the_o zodiac_n be_v move_v in_o the_o upper_a part_n of_o the_o excentrique_fw-la contrary_a to_o the_o succession_n of_o the_o sign_n and_o in_o the_o nether_a part_n of_o the_o say_v excentrique_fw-la according_a to_o the_o succession_n of_o the_o sign_n upon_o his_o proper_a axletree_n stand_v perpendicular_o upon_o the_o plane_n of_o the_o excentrique_fw-la and_o be_v move_v equal_o from_o the_o mean_a auge_n make_v his_o revolution_n in_o 27_o day_n and_o almost_o in_o 13_o hour_n by_o which_o move_v the_o body_n of_o the_o moon_n be_v carry_v round_o about_o the_o centre_n of_o the_o epicicle_n and_o the_o daily_a move_n of_o this_o epicicle_n from_o the_o mean_a auge_n be_v 13_o degree_n i3·_fw-la ii53·_fw-la iii56·_fw-la iiii23·_fw-la u●8·_fw-la so_o as_o it_o make_v his_o whole_a revolution_n in_o 27_o day_n 13_o hour_n i18·_fw-la ii34·_fw-la iii52·_fw-la but_o for_o the_o better_a understanding_n of_o the_o motion_n of_o the_o epicicle_n you_o have_v to_o note_v that_o there_o be_v three_o special_a point_n belong_v to_o the_o epicicle_n that_o be_v the_o mean_a auge_n the_o 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centre_n of_o the_o epicicle_n even_o to_o the_o circumference_n thereof_o mark_v in_o the_o figure_n follow_v with_o the_o letter_n p._n which_o point_n be_v call_v the_o point_n of_o concavitie_n because_o you_o must_v imagine_v that_o in_o the_o plane_n of_o the_o excentrique_fw-la there_o be_v a_o certain_a concavitie_n wherein_o the_o plane_n superficies_n of_o the_o epicicle_n be_v turn_v about_o which_o concavitie_n of_o itself_o be_v immovable_a because_o it_o be_v move_v only_o according_a unto_o the_o motion_n of_o the_o excentrique_fw-la to_o the_o plane_n of_o which_o excentrique_fw-la if_o you_o attribute_v so_o much_o thickness_n or_o depth_n towards_o the_o centre_n thereof_o as_o be_v the_o diameter_n of_o the_o epicicle_n it_o must_v needs_o fall_v out_o that_o the_o circumference_n of_o the_o epicicle_n will_v touch_v the_o concave_a superficies_n of_o the_o upper_a deferent_a of_o the_o auge_n in_o one_o only_a point_n and_o therefore_o this_o point_n of_o the_o 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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 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according_a to_o the_o succession_n of_o the_o sign_n moreover_o the_o excentricity_n of_o the_o moon_n in_o a_o whole_a period_n be_v never_o change_v but_o abide_v always_o one_o and_o the_o same_o but_o the_o excentricity_n of_o mercury_n be_v continual_o change_v again_o the_o moon_n in_o every_o her_o revolution_n fall_v twice_o into_o the_o auge_n and_o twice_o into_o the_o opposite_a auge_n by_o mean_n whereof_o she_o be_v twice_o further_a from_o the_o earth_n and_o twice_o nigh_a to_o the_o same_o and_o the_o limit_n of_o those_o distance_n be_v a_o just_a quarter_n of_o a_o circle_n one_o from_o another_o which_o be_v 90_o degree_n but_o mercury_n fall_v neither_o into_o the_o auge_n nor_o opposite_a auge_n but_o once_o only_o and_o he_o be_v further_a distant_a from_o the_o earth_n when_o he_o be_v in_o the_o auge_n but_o he_o be_v nigh_a to_o the_o earth_n twice_o not_o when_o he_o be_v in_o the_o opposite_a auge_n but_o in_o two_o place_n each_o of_o they_o be_v distant_a on_o either_o side_n from_o the_o auge_n the_o three_o part_n of_o a_o circle_n which_o be_v 120_o degree_n final_o the_o epicicle_n of_o the_o moon_n describe_v a_o figure_n more_o like_a to_o a_o figure_n lenticular_a than_o to_o a_o figure_n ovale_n and_o the_o epicicle_n of_o mercury_n describe_v a_o figure_n more_o ovale_n than_o otherwise_o the_o cause_n whereof_o be_v for_o that_o the_o centre_n of_o the_o moon_n equant_fw-la about_o which_o her_o excentrique_fw-la make_v his_o regular_a motion_n be_v also_o the_o centre_n of_o the_o little_a circle_n but_o the_o centre_n of_o mercury_n equant_fw-la be_v resident_a in_o the_o low_a part_n of_o the_o say_v little_a circle_n notwithstanding_o each_o figure_n be_v common_o call_v a_o ovale_n figure_n how_o and_o in_o

same_o be_v show_v in_o the_o 33_o precept_n 7._o the_o orbe_fw-la excentrique_fw-la be_v a_o orb_n of_o one_o equal_a thickness_n compass_v the_o centre_n of_o the_o world_n in_o which_o excentrique_fw-la the_o epicicle_n be_v always_o carry_v and_o make_v his_o revolution_n in_o 29_o egyptian_a year_n 183_o day_n and_o almost_o 5_o hour_n the_o diurnal_a motion_n thereof_o be_v i2·_fw-la ii0·_fw-la iii21·_fw-la iiii16·_fw-la almost_o 8._o the_o centre_n of_o the_o excentrique_fw-la mark_v with_o b_o be_v a_o point_n in_o the_o middle_n of_o the_o excentrique_fw-la from_o which_o all_o right_a line_n that_o be_v draw_v unto_o the_o concavitie_n of_o the_o excentrique_fw-la be_v equal_a 9_o the_o distance_n betwixt_o which_o centre_n and_o the_o centre_n of_o the_o world_n be_v call_v the_o excentricity_n of_o the_o excentrique_fw-la and_o the_o distance_n betwixt_o the_o two_o say_a centre_n that_o be_v of_o the_o world_n and_o of_o the_o excentrique_fw-la be_v 3_o degree_n i25·_n 10._o the_o circle_n equant_fw-la be_v a_o circle_n describe_v upon_o the_o point_n c_o in_o the_o plane_n of_o the_o excentrique_fw-la in_o regard_n of_o the_o centre_n whereof_o the_o motion_n as_o well_o of_o the_o excentrique_fw-la as_o of_o the_o epicicle_n be_v regular_a and_o equal_a and_o this_o circle_n be_v sometime_o call_v the_o circle_n of_o equality_n sometime_o the_o equator_fw-la and_o other_o time_n the_o excentricall_a equator_fw-la the_o distance_n of_o the_o centre_n whereof_o be_v from_o the_o centre_n of_o the_o excentrique_fw-la 3_o degree_n i25·_n and_o from_o the_o centre_n of_o the_o world_n 6_o degree_n i50·_n and_o this_o distance_n from_o the_o centre_n of_o the_o world_n be_v call_v the_o excentricity_n of_o the_o circle_n equant_fw-la 11._o the_o epicicle_n be_v a_o little_a orb_n who_o centre_n be_v mark_v with_o the_o letter_n e_o which_o the_o excentrique_fw-la carry_v about_o which_o epicicle_n notwithstanding_o have_v his_o proper_a motion_n for_o the_o high_a part_n thereof_o have_v his_o move_a according_a to_o the_o succession_n of_o the_o sign_n and_o the_o low_a part_n contrary_a to_o the_o succession_n of_o the_o sign_n the_o daily_a motion_n of_o the_o epicycle_n about_o his_o own_o centre_n be_v i57·_fw-la ii7·_fw-la iii44·_fw-la and_o make_v one_o ent●e_fw-fr revolution_n in_o 378_o day_n 21_o hour_n i36·_fw-la 12._o but_o because_o that_o the_o account_v of_o the_o motion_n by_o the_o circle_n equant_fw-la be_v troublesome_a therefore_o the_o astronomer_n do_v use_v to_o reckon_v the_o fame_n upon_o the_o ecliptic_a by_o impose_v a_o line_n to_o be_v draw_v from_o the_o centre_n of_o the_o world_n unto_o the_o ecliptic_a in_o such_o sort_n as_o the_o same_o may_v be_v parallel_n unto_o the_o line_n before_o draw_v as_o in_o the_o foresay_a figure_n the_o line_n a_o g_z be_v parallel_n unto_o the_o line_n c_o e_o be_v call_v the_o line_n o●_n the_o mean_a move_n of_o the_o epicicle_n or_o of_o the_o planet_n 13._o the_o mean_a anomalia_fw-la of_o the_o excentrique_fw-la be_v a_o arch_n of_o the_o ecliptic_a begin_v at_o the_o line_n of_o the_o auge_n and_o so_o proceed_v according_a to_o the_o succession_n of_o the_o sign_n until_o at_o end_n at_o the_o line_n of_o the_o mean_a move_n as_o in_o the_o foresay_a figure_n the_o line_n a_o f_o be_v the_o line_n of_o the_o auge_n and_o a_o g_o be_v the_o line_n of_o the_o mean_a move_n now_o the_o arch_n of_o the_o ecliptic_a which_o be_v comprehend_v betwixt_o the_o two_o line_n a_o f_o and_o a_o g_o that_o be_v to_o say_v the_o arch_n f_o g_z be_v call_v the_o mean_a anomalia_fw-la of_o the_o excentrique_fw-la and_o of_o some_o it_o be_v call_v the_o mean_a or_o equal_a centre_n 14._o but_o if_o the_o say_a arch_n be_v reckon_v from_o the_o first_o star_n of_o the_o ram_n horn_n unto_o the_o line_n of_o the_o mean_a move_n mark_v with_o a_o g_o than_o the_o say_a arch_n be_v call_v the_o equal_a motion_n of_o longitude_n which_o you_o may_v find_v by_o the_o table_n at_o any_o time_n suppose_v by_o the_o 13_o and_o 14_o cannon_n in_o the_o column_n who_o title_n be_v longitudinis_fw-la saturni_n in_o such_o order_n as_o be_v show_v in_o the_o eight_o precept_n the_o equal_a or_o mean_a move_n of_o the_o longitude_n of_o saturn_n be_v daily_o i2·_fw-la ii0·_fw-la iii27·_fw-la iiii18·_fw-la and_o the_o yearly_a motion_n thereof_o be_v 12_o degree_n i12·_fw-la ii46·_fw-la iii4·_fw-la and_o the_o whole_a revolution_n be_v in_o 29_o egyptian_a year_n 174_o day_n 4_o hour_n i58·_fw-la ii24·_fw-la for_o in_o that_o time_n it_o return_v to_o the_o first_o star_n of_o the_o ram_n horn_n 15._o the_o line_n of_o the_o true_a move_n of_o the_o epicicle_n be_v a_o right_a line_n draw_v from_o the_o centre_n of_o the_o world_n pass_v through_o the_o centre_n of_o the_o epicicle_n unto_o the_o ecliptic_a as_o in_o the_o foresay_a figure_n the_o right_a line_n a_o e_o l_o be_v call_v the_o line_n of_o the_o true_a motion_n of_o the_o epicicle_n 16._o the_o true_a or_o coequated_a anomalia_fw-la of_o the_o excentrique_fw-la which_o be_v call_v by_o the_o alphonsine_n the_o true_a centre_n be_v a_o arch_n of_o the_o ecliptic_a begin_v at_o the_o place_n of_o the_o auge_n of_o the_o excentrique_fw-la and_o end_v at_o the_o true_a place_n of_o the_o centre_n of_o the_o epicicle_n as_o in_o the_o foresay_a figure_n the_o arch_n f_o l_o be_v the_o true_a anomalia_fw-la of_o the_o excentrique_fw-la 17._o the_o true_a motion_n of_o the_o longitude_n of_o the_o epicicle_n be_v a_o arch_n of_o the_o ecliptic_a begin_v at_o the_o first_o star_n of_o the_o ram_n horn_n and_o end_v at_o the_o true_a place_n of_o the_o centre_n of_o the_o epicicle_n as_o in_o the_o foresay_a figure_n the_o arch_n from_o the_o ram_n horn_n mark_v with_o a_o little_a star_n in_o the_o ecliptic_a of_o the_o eight_o sphere_n to_o l_o be_v call_v the_o true_a move_n of_o the_o longitude_n of_o the_o epicicle_n 18._o the_o prosthapheresis_fw-la or_o equation_n of_o the_o centre_n be_v the_o difference_n betwixt_o the_o mean_a anomalia_fw-la and_o the_o coequated_a anomalia_fw-la of_o the_o excentrique_fw-la or_o the_o difference_n betwixt_o the_o equal_a move_n and_o the_o true_a move_n of_o longitude_n as_o the_o arch_n l_o g_o be_v call_v the_o equation_n of_o the_o centre_n and_o this_o equation_n be_v never_o great_a than_o 6_o degree_n i30·_fw-la ii30·_fw-la and_o be_v always_o great_a when_o the_o equal_a move_n of_o the_o centre_n of_o the_o epicicle_n from_o the_o auge_n of_o the_o excentrique_fw-la be_v 11_o sex_n 33_o degree_n whether_o the_o same_o be_v reckon_v according_a to_o the_o succession_n of_o the_o sign_n or_o contrary_a to_o the_o succession_n of_o the_o sign_n and_o from_o thence_o it_o decrease_v until_o the_o line_n of_o the_o say_v mean_a move_n come_v into_o the_o line_n of_o the_o opposite_a auge_n the_o find_n of_o which_o equation_n be_v teach_v in_o the_o 34_o precept_n by_o help_n of_o the_o 19_o cannon_n in_o the_o column_n who_o title_n be_v eccentrici_n and_o be_v to_o be_v add_v or_o subtract_v according_a as_o the_o word_n subtrahe_fw-la and_o add_v at_o the_o head_n or_o foot_n of_o the_o say_a column_n do_v show_v 19_o the_o two_o point_n in_o which_o the_o prosthapheresis_fw-la of_o the_o excentrique_fw-la be_v great_a be_v call_v the_o mean_a longitude_n of_o the_o excentrique_fw-la and_o these_o two_o point_n be_v show_v by_o a_o right_a line_n perpendicular_o draw_v upon_o the_o line_n of_o auge_n and_o pass_v through_o the_o middle_a space_n of_o the_o distance_n betwixt_o the_o centre_n of_o the_o world_n and_o the_o centre_n of_o the_o excentrique_fw-la as_o in_o the_o former_a figure_n in_o which_o the_o point_n a_o signify_v the_o centre_n of_o the_o world_n and_o the_o point_n b_o the_o centre_n of_o the_o excentrique_fw-la now_o if_o the_o space_n b_o at_fw-fr be_v divide_v into_o two_o equal_a part_n as_o in_o the_o point_n qui_fw-fr and_o through_o the_o same_o point_n q_o a_o right_a line_n be_v draw_v cross_v the_o line_n a_o f_o with_o right_a angle_n and_o be_v produce_v as_o well_o towards_o the_o right_a hand_n as_o towards_o the_o left_a unto_o the_o two_o point_n of_o the_o circumference_n of_o the_o excentrique_fw-la mark_v with_o the_o two_o letter_n t_n and_o v_n the_o say_v two_o point_n t_n and_o v_n be_v call_v the_o mean_a longitude_n of_o the_o excentrique_fw-la in_o which_o mean_a longitude_n the_o centre_n of_o the_o epicicle_n be_v when_o the_o equal_a motion_n of_o saturn_n longitude_n be_v 93_o degree_n or_o 267_o degree_n 20._o the_o mean_a auge_n of_o the_o epicicle_n be_v a_o point_n in_o the_o circumference_n of_o the_o epicicle_n which_o be_v further_a distant_a from_o the_o centre_n of_o the_o circle_n equant_fw-la and_o this_o point_n be_v find_v by_o draw_v a_o

which_o be_v set_v down_o in_o the_o heaven_n of_o saturn_n but_o only_o in_o the_o time_n of_o their_o motion_n &_o in_o the_o quantity_n of_o some_o arch_n for_o the_o deferent_n of_o the_o auge_n and_o opposite_a auge_n in_o the_o heaven_n of_o jupiter_n do_v make_v their_o revolution_n in_o 109756_o egyptian_a year_n and_o the_o excentrique_fw-la of_o this_o heaven_n make_v his_o revolution_n in_o 11_o egyptian_a year_n 318_o day_n and_o one_o hour_n almost_o and_o the_o excentricity_n of_o the_o excentrique_fw-la of_o jupiter_n be_v 2_o degree_n i45·_n and_o the_o excentricity_n of_o the_o circle_n equant_fw-la be_v 5_o degree_n i30·_v the_o epicicle_n of_o this_o heaven_n make_v his_o revolution_n in_o 398_o day_n 21_o hour_n i13·_fw-la ii15·_fw-la iii●●°_n and_o the_o daily_a motion_n thereof_o be_v i54·_fw-la ii9·_fw-la iii4·_fw-la the_o great_a equation_n of_o the_o centre_n which_o belong_v unto_o jupiter_n be_v 5_o degree_n i13·_fw-la ii59·_fw-la and_o that_o be_v when_o the_o centre_n of_o the_o epicicle_n be_v distant_a from_o the_o true_a auge_n of_o the_o excentrique_fw-la 93_o degree_n whether_o it_o be_v according_a or_o contrary_a to_o the_o succession_n of_o the_o sign_n and_o the_o great_a equation_n of_o the_o argument_n when_o the_o centre_n of_o the_o epicicle_n be_v in_o the_o auge_n of_o the_o excentrique_fw-la be_v 10_o degree_n i30·_fw-la ii9·_fw-la and_o then_o the_o distance_n of_o the_o planet_n from_o the_o true_a auge_n of_o his_o epicicle_n be_v 100_o degree_n i30_n almost_o and_o the_o great_a equation_n of_o the_o say_a argument_n when_o the_o epicicle_n be_v in_o the_o opposite_a auge_n of_o the_o excentrique_fw-la be_v 11_o degree_n i31·_a ii2●°_n &_o then_o the_o planet_n be_v distant_a from_o the_o true_a auge_n of_o the_o epicicle_n 102_o degree_n almost_o the_o equal_a or_o mean_a move_n of_o jupiters_n longitude_n from_o the_o first_o star_n of_o the_o ram_n horn_n be_v daily_o i4·_fw-la ii59·_fw-la iii8·_fw-la and_o the_o yearly_a motion_n thereof_o be_v 30_o degree_n i19·_a ii4●°_n iii6·_fw-la &_o make_v one_o entire_a revolution_n in_o 11_o egyptian_a year_n 214_o day_n 21_o hour_n i16·_fw-la ii24·_fw-la the_o rest_n of_o the_o line_n and_o arch_n belong_v to_o this_o planet_n be_v define_v in_o the_o former_a five_o chapter_n and_o the_o find_n of_o all_o such_o thing_n as_o be_v needful_a for_o that_o purpose_n be_v set_v down_o in_o the_o say_v five_o chapter_n differ_v nothing_o from_o the_o manner_n which_o be_v therein_o show_v except_o it_o be_v in_o the_o number_n of_o the_o cannon_n which_o for_o saturn_n be_v the_o 19_o and_o for_o this_o planet_n it_o be_v the_o 20_o cannon_n chap._n vii_o of_o the_o five_o heaven_n or_o heaven_n of_o mars_n the_o five_o heaven_n belong_v to_o mars_n have_v like_o number_n of_o orb_n as_o have_v the_o heaven_n of_o saturn_n and_o the_o say_a orb_n be_v place_v even_o as_o they_o be_v in_o saturn_n and_o therefore_o i_o shall_v not_o need_v to_o make_v any_o particular_a relation_n of_o the_o orb_n or_o line_n of_o this_o sphere_n but_o to_o refer_v you_o to_o the_o five_o chapter_n show_v only_o here_o the_o difference_n of_o the_o motion_n the_o deferent_n of_o the_o auge_n in_o the_o heaven_n of_o mars_n do_v make_v their_o revolution_n in_o 45088_o egyptian_a year_n so_o as_o their_o daily_a motion_n be_v iii4·_v iiii43·_n and_o their_o yearly_a motion_n be_v ii28·_fw-la iii44·_fw-la iiii37·_fw-la the_o excentrique_fw-la of_o this_o heaven_n make_v his_o revolution_n in_o one_o year_n and_o 322_o day_n almost_o so_o as_o his_o daily_a motion_n be_v i31·_fw-la ii26·_fw-la iii26·_fw-la iiii15·_fw-la and_o the_o yearly_a motion_n thereof_o be_v 191_o degree_n i15·_fw-la ii49·_fw-la iii44·_fw-la iiii3·_fw-la the_o epicicle_n of_o this_o heaven_n make_v his_o revolution_n in_o 2_o year_n 49_o day_n 19_o hour_n i43·_n and_o the_o daily_a motion_n thereof_o be_v i27·_fw-la ii41·_fw-la iii40·_fw-la and_o his_o yearly_a motion_n be_v 168_o degree_n i2●°_n ii30·_fw-la iii42·_fw-la the_o great_a equation_n of_o the_o centre_n belong_v unto_o mars_n be_v 11_o degree_n i5·_fw-la ii59·_fw-la and_o that_o be_v when_o the_o centre_n of_o his_o epicicle_n be_v distant_a from_o the_o true_a auge_n of_o the_o excentrique_fw-la 95_o degree_n and_o i30·_n be_v it_o according_a or_o contrary_a to_o the_o succession_n of_o the_o sign_n the_o great_a equation_n of_o the_o argument_n when_o the_o centre_n of_o the_o epicicle_n be_v in_o the_o auge_n of_o the_o excentrique_fw-la be_v 36_o degree_n i54·_fw-la ii18·_fw-la and_o then_o the_o distance_n of_o the_o planet_n from_o the_o true_a auge_n of_o his_o epicicle_n be_v 127_o degree_n almost_o and_o the_o great_a equation_n of_o the_o argument_n when_o the_o centre_n of_o the_o epicicle_n be_v in_o the_o opposite_a auge_n of_o his_o excentrique_fw-la be_v 46_o degree_n i38·_fw-la ii4·_fw-la and_o that_o be_v when_o the_o planet_n be_v distant_a from_o the_o auge_n of_o the_o epicicle_n 137_o deg_fw-la the_o mean_a move_n of_o the_o longitude_n of_o mars_n be_v every_o day_n i31·_fw-la ii26·_fw-la iii31·_fw-la and_o the_o yearly_a motion_n thereof_o be_v 191_o i16·_fw-la ii18·_fw-la iii29·_fw-la and_o make_v one_o entire_a revolution_n in_o one_o year_n 321_o day_n 23_o hour_n i32·_v all_o other_o line_n and_o arch_n belong_v to_o mars_n be_v define_v in_o the_o five_o chapter_n and_o the_o cannon_n serve_v for_o the_o find_n of_o they_o and_o their_o place_n be_v the_o 21_o cannon_n in_o number_n chap._n viii_o of_o the_o four_o heaven_n or_o heaven_n of_o the_o sun_n the_o next_o heaven_n under_o that_o of_o mars_n be_v the_o heaven_n of_o the_o sun_n and_o have_v his_o proper_a and_o peculiar_a motion_n from_o west_n to_o east_n this_o heaven_n consist_v of_o five_o orb_n whereof_o two_o be_v call_v the_o deferent_n of_o the_o mean_a auge_n of_o the_o sun_n excentrique_fw-la the_o other_o two_o orb_n be_v call_v the_o deferent_n of_o the_o true_a auge_n of_o his_o excentrique_fw-la or_o the_o orb_n of_o the_o anomalia_fw-la of_o the_o true_a auge_n and_o of_o the_o excentricity_n of_o the_o sun_n the_o five_o orb_n be_v call_v the_o deferent_a of_o the_o body_n of_o the_o sun_n all_o which_o you_o may_v evident_o see_v in_o the_o figure_n follow_v ¶_o the_o first_o figure_n belong_v to_o the_o theoric_n of_o the_o sun_n in_o which_o figure_n the_o outermost_a broad_a circle_n in_o which_o be_v set_v the_o character_n of_o the_o 12_o sign_n signify_v the_o ecliptic_a of_o the_o eight_o heaven_n the_o centre_n whereof_o be_v mark_v with_o the_o letter_n a_o which_o signify_v the_o centre_n of_o the_o world_n next_o unto_o this_o ecliptic_a be_v one_o of_o the_o deferent_n of_o the_o mean_a auge_n signify_v by_o the_o outermost_a black_a orb_n the_o centre_n of_o who_o convex_a superficies_n be_v the_o point_n a_o and_o the_o centre_n of_o his_o concave_a superficies_n be_v the_o point_n b_o the_o other_o deferent_a of_o the_o say_v 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centre_n of_o the_o first_o epicicle_n as_o in_o the_o say_v first_o figure_n the_o arch_a *_o h_o k_o be_v call_v the_o mean_a equal_a or_o simple_a move_n of_o the_o moon_n longitude_n and_o the_o daily_a move_n of_o this_o simple_a longitude_n be_v 13_o degree_n i10·_fw-la ii34·_fw-la iii53·_fw-la and_o according_a unto_o this_o motion_n the_o moon_n make_v her_o revolution_n in_o 27_o day_n 7_o hour_n i43·_fw-la ii7·_fw-la for_o in_o this_o time_n she_o return_v unto_o the_o first_o star_n of_o the_o ram_n horn_n and_o this_o be_v call_v the_o periodicall_a month_n as_o in_o the_o first_o figure_n the_o arch_a *_o h_o k_o be_v the_o equal_a simple_a move_a of_o the_o longitude_n of_o the_o moon_n 13._o but_o if_o the_o say_a motion_n do_v begin_v at_o the_o mean_a place_n of_o the_o sun_n that_o be_v at_o the_o line_n of_o the_o mean_a move_n of_o the_o sun_n then_o be_v it_o call_v the_o equal_a or_o mean_a longitude_n of_o the_o moon_n from_o the_o sun_n and_o then_o the_o 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the_o 8_o precept_n by_o help_n of_o the_o 13_o and_o 14_o cannon_n in_o the_o collume_n who_o title_n be_v longitudo_fw-la media_fw-la à_fw-la sole_fw-la 14._o and_o again_o sometime_o the_o mean_a move_n of_o the_o centre_n of_o the_o first_o epicicle_n or_o of_o the_o moon_n be_v account_v to_o begin_v at_o the_o north_n limit_n and_o then_o be_v it_o call_v by_o ptolomey_n and_o copernicus_n the_o mean_a motion_n of_o the_o latitude_n of_o the_o moon_n because_o that_o after_o the_o same_o be_v correct_v it_o show_v the_o true_a latitude_n of_o the_o moon_n &_o the_o find_n of_o this_o motion_n