Selected quad for the lemma: hand_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
hand_n	call_v	left_a	right_a	6,194	5	6.0677	4	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

mark_v upon_o the_o zodiac_n with_o b_o c_o be_v great_a than_o the_o equation_n of_o the_o epicicle_n be_v in_o h_n by_o twenty_o such_o minute_n which_o excess_n be_v mark_v with_o the_o letter_n a_o c_o upon_o the_o zodiac_n again_o when_o the_o centre_n of_o the_o epicicle_n be_v in_o the_o point_n l_o then_z as_o the_o diameter_n m_o l_o be_v lesser_a than_o the_o diameter_n m_o h_n by_o i40·_n so_o be_v the_o equation_n of_o the_o epicicle_n mark_v with_o b_o c_o great_a than_o the_o equation_n of_o the_o epicicle_n be_v in_o h_n by_o i40·_n which_o excess_n be_v also_o mark_v on_o the_o zodiac_n with_o the_o letter_n a_o c._n and_o to_o speak_v brief_o the_o further_a that_o the_o centre_n of_o the_o epicicle_n be_v distant_a from_o the_o auge_n h_n the_o short_a be_v the_o diameter_n or_o right_a line_n draw_v from_o the_o centre_n m_o to_o the_o centre_n of_o the_o epicicle_n and_o thereby_o the_o equation_n of_o the_o epicicle_n be_v the_o great_a now_o though_o these_o proportional_a minute_n may_v be_v describe_v another_o way_n that_o be_v by_o devide_v the_o overplus_n or_o excess_n whereby_o the_o arch_n of_o the_o great_a equation_n do_v exceed_v the_o arch_n of_o the_o least_o equation_n into_o sixty_o minute_n and_o thereby_o to_o know_v the_o diversity_n of_o every_o equation_n in_o what_o place_n soever_o of_o the_o excentrique_fw-la the_o centre_n of_o the_o epicicle_n be_v find_v to_o be_v be_v out_o of_o the_o auge_n yet_o i_o omit_v to_o speak_v thereof_o because_o the_o other_o way_n before_o set_v down_o be_v the_o easy_a of_o the_o two_o and_o be_v only_o the_o way_n whereby_o the_o table_n of_o calculate_v the_o say_a equation_n be_v make_v the_o four_o intention_n show_v the_o twofold_a latitude_n of_o the_o moon_n and_o of_o the_o head_n and_o tail_n of_o the_o dragon_n the_o latitude_n of_o the_o moon_n be_v none_o other_o thing_n but_o her_o distance_n from_o the_o ecliptic_a line_n which_o distance_n be_v never_o above_o five_o degree_n and_o her_o latitude_n be_v twofold_a that_o be_v northern_a and_o southern_a for_o the_o deferent_a of_o the_o moon_n in_o the_o space_n of_o one_o month_n cut_v the_o ecliptic_a in_o two_o place_n right_o opposite_a one_o to_o another_o and_o thereby_o the_o one_o half_a of_o her_o deferent_a incline_v towards_o the_o north_n and_o the_o other_o half_o thereof_o incline_v towards_o the_o south_n and_o those_o two_o section_n be_v call_v the_o two_o nodes_fw-la the_o one_o ascendent_a which_o be_v the_o begin_n of_o the_o moon_n depart_v &_o ascend_v from_o the_o ecliptic_a towards_o the_o north_n and_o the_o other_o node_n be_v call_v the_o node_n descendent_a from_o which_o node_n the_o moon_n descend_v towards_o the_o south_n and_o as_o the_o ecliptic_a or_o way_n of_o the_o sun_n be_v divide_v into_o four_o part_n by_o the_o four_o principal_a point_n that_o be_v the_o two_o equinoctial_a point_n and_o the_o two_o solsticiall_a point_n even_o so_o the_o deferent_a of_o the_o moon_n be_v divide_v into_o four_o quarter_n by_o the_o two_o aforesaid_a nodes_fw-la and_o by_o the_o two_o limit_n of_o her_o great_a latitude_n and_o as_o the_o node_n ascendent_a show_v the_o east_n and_o the_o node_n descendent_a the_o west_n so_o of_o the_o two_o limit_n the_o one_o show_v when_o the_o moon_n be_v far_a north_n and_o the_o other_o show_v when_o she_o be_v further_a south_n as_o you_o may_v plain_o see_v by_o the_o figure_n next_o follow_v ¶_o the_o seven_o figure_n belong_v to_o the_o theoric_n of_o the_o moon_n the_o outermost_a circle_n of_o this_o figure_n draw_v upon_o the_o centre_n a_o signify_v the_o zodiac_n have_v the_o character_n of_o the_o twelve_o sign_n describe_v therein_o and_o be_v mark_v with_o the_o letter_n c_o m_o n_o e_o d_o within_o which_o circle_n be_v draw_v two_o other_o circle_n cross_v one_o another_o in_o two_o point_n opposite_a whereof_o that_o which_o be_v draw_v upon_o the_o centre_n b_o and_o be_v mark_v with_o the_o letter_n f_o i_o h_o g_o be_v the_o excentrique_fw-la or_o deferent_a carry_v the_o epicicle_n of_o the_o moon_n and_o the_o other_o circle_n draw_v upon_o the_o centre_n a_o and_o mark_v with_o the_o letter_n k_o i_o l_o g_o signify_v the_o ecliptic_n or_o way_n of_o the_o sun_n and_o these_o two_o circle_n be_v equal_a because_o their_o semidiameter_n be_v equal_a cross_v one_o another_o in_o two_o point_n opposite_a whereof_o that_o intersection_n which_o be_v on_o the_o right_a hand_n be_v call_v the_o node_n ascendent_a or_o head_n of_o the_o dragon_n figure_v thus_o ☊_o and_o that_o on_o the_o left_a hand_n be_v call_v the_o node_n decendent_a or_o tail_n of_o the_o dragon_n figure_v thus_o ☋_o and_o the_o limit_n be_v mark_v with_o the_o two_o letter_n f_o h_n whereof_o the_o letter_n f_o signify_v the_o north_n limit_n and_o h_n the_o south_n limit_n and_o you_o have_v to_o note_v that_o the_o head_n of_o the_o dragon_n have_v two_o motion_n or_o move_n the_o one_o mean_v and_o the_o other_o true_a his_o mean_a move_n be_v a_o arch_n of_o the_o zodiac_n extend_v from_o the_o begin_n of_o aries_n mark_v in_o the_o former_a figure_n with_o the_o letter_n c_o contrary_a to_o the_o succession_n of_o the_o sign_n by_o the_o move_n of_o the_o orbe_fw-la equant_fw-la unto_o the_o letter_n d_o show_v the_o place_n of_o the_o head_n of_o the_o dragon_n in_o the_o zodiac_n whereunto_o the_o line_n a_o g_o do_v point_n which_o arch_n be_v mark_v with_o the_o letter_n c_o d._n again_o his_o true_a move_n be_v a_o arch_n of_o the_o zodiac_n extend_v according_a to_o the_o succession_n of_o the_o sign_n from_o the_o begin_n of_o aries_n unto_o the_o head_n of_o the_o dragon_n and_o this_o arch_n be_v mark_v with_o the_o letter_n c_o m_o n_o e_o d_o which_o two_o arch_n be_v add_v together_o do_v make_v up_o the_o whole_a zodiac_n and_o the_o selfsame_o mooving_n be_v also_o incident_a to_o the_o other_o three_o point_n that_o be_v to_o the_o tail_n of_o the_o dragon_n and_o to_o the_o two_o limit_n ¶_o of_o the_o inequality_n of_o the_o moon_n latitude_n both_o mean_a and_o true_a what_o be_v the_o inequality_n or_o anomaly_n of_o her_o latitude_n it_o be_v a_o arch_n of_o the_o zodiac_n extend_v according_a to_o the_o succession_n of_o the_o sign_n from_o the_o dragon_n head_n unto_o the_o place_n of_o the_o moon_n which_o if_o it_o be_v she_o mean_a place_n than_o such_o arch_n be_v call_v the_o mean_a inequality_n of_o her_o latitude_n but_o if_o it_o be_v the_o true_a place_n of_o the_o moon_n than_o that_o arch_n be_v call_v the_o true_a inequality_n of_o her_o latitude_n how_o to_o know_v her_o mean_a and_o true_a place_n have_v be_v show_v before_o but_o you_o have_v to_o note_v that_o though_o the_o follower_n of_o alphonsus_n do_v make_v this_o arch_n of_o latitude_n to_o begin_v at_o the_o dragon_n head_n even_o as_o the_o ecliptic_a be_v say_v to_o begin_v at_o the_o vernal_a equinoctial_a point_n yet_o ptolomey_n and_o copernicus_n and_o also_o the_o prutenicall_a table_n do_v make_v the_o say_a arch_n to_o begin_v at_o the_o north_n limit_n of_o the_o moon_n latitude_n and_o so_o to_o extend_v according_a to_o the_o succession_n of_o the_o sign_n by_o help_n of_o which_o arch_n the_o latitude_n of_o the_o moon_n be_v always_o to_o be_v find_v in_o the_o say_a table_n ❧_o the_o theoric_n of_o the_o three_o superior_a planet_n that_o be_v saturn_n jupiter_n and_o mars_n why_o be_v these_o three_o call_v the_o superior_a planet_n because_o they_o be_v place_v above_o the_o sun_n even_o as_o the_o other_o three_o planet_n that_o be_v venus_n mercury_n and_o the_o moon_n be_v call_v the_o inferior_a planet_n because_o they_o be_v place_v under_o the_o sun_n who_o be_v chief_a governor_n of_o they_o all_o the_o theoric_n of_o which_o three_o superior_a planet_n we_o think_v it_o best_o here_o to_o describe_v next_o after_o the_o moon_n because_o that_o though_o they_o be_v subject_a to_o more_o diversity_n of_o move_n than_o either_o the_o sun_n or_o moon_n yet_o to_o few_o than_o venus_n or_o mercury_n why_o be_v these_o three_o planet_n join_v together_o all_o in_o one_o theoric_n because_o in_o the_o quality_n of_o their_o mooving_n as_o well_o according_a to_o longitude_n as_o latitude_n they_o be_v like_a differ_v only_o in_o quantity_n and_o their_o orb_n have_v like_o uniformity_n and_o therefore_o may_v be_v very_o well_o describe_v in_o oneself_o theoric_n the_o first_o intention_n show_v how_o many_o orb_n do_v belong_v to_o the_o theoric_n of_o every_o one_o of_o these_o planet_n viz._n four_o orb_n and_o one_o circle_n that_o be_v the_o excentrique_fw-la carry_v the_o epicicle_n than_o the_o two_o deferent_n of_o the_o

the_o three_o line_n ai_fw-fr ak_v and_o chm_n be_v all_o one_o the_o mean_a move_n of_o the_o planet_n or_o of_o his_o epicicle_n be_v a_o arch_n of_o the_o zodiac_n extend_v from_o the_o vernal_a aequinoctial_a point_n according_a to_o the_o succession_n of_o the_o sign_n unto_o the_o line_n of_o the_o mean_a move_n of_o the_o planet_n or_o epicicle_n mark_v in_o the_o say_a figure_n with_o the_o letter_n n_o f_o i_o proceed_v towards_o the_o left_a hand_n the_o true_a move_n of_o the_o epicicle_n be_v a_o arch_n of_o the_o zodiac_n extend_v according_a to_o the_o succession_n of_o the_o sign_n from_o the_o say_v aequinoctial_a point_n to_o the_o line_n of_o the_o true_a move_n of_o the_o epicicle_n mark_v with_o the_o letter_n n_o f_o k._n but_o the_o true_a move_n of_o the_o planet_n be_v a_o arch_n of_o the_o zodiac_n extend_v in_o like_a manner_n from_o the_o aequinoctial_a point_n to_o the_o line_n of_o the_o true_a move_n of_o the_o planet_n mark_v in_o the_o say_a figure_n with_o the_o letter_n n_o f_o l._n and_o remember_v that_o the_o letter_n n_n always_o signify_v the_o vernal_a aequinoctial_a point_n whereto_o be_v set_v the_o character_n of_o aries_n of_o the_o inequality_n of_o the_o excentrique_fw-la both_o mean_a and_o true_a the_o mean_a inequality_n of_o the_o excentrique_fw-la be_v a_o arch_n of_o the_o zodiac_n extend_v according_a to_o the_o succession_n of_o the_o sign_n from_o the_o line_n of_o the_o auge_n of_o the_o excentrique_fw-la unto_o the_o line_n of_o the_o mean_a move_n of_o the_o planet_n or_o epicicle_n which_o inequality_n the_o follower_n of_o alphonsus_n do_v call_v centrum_fw-la medium_n mark_v on_o the_o left_a hand_n of_o the_o foresay_a figure_n with_o the_o letter_n f_o i._n but_o the_o true_a inequality_n of_o the_o excentrique_fw-la be_v a_o arch_n of_o the_o zodiac_n extend_v according_a to_o the_o succession_n of_o the_o sign_n from_o the_o line_n of_o the_o auge_n of_o the_o excentrique_fw-la unto_o the_o line_n of_o the_o true_a move_n of_o the_o epicicle_n which_o arch_n be_v mark_v on_o the_o left_a hand_n in_o the_o say_a figure_n with_o the_o letter_n f_o k._n what_o be_v the_o equaction_n of_o the_o excentrique_fw-la it_o be_v a_o arch_n of_o the_o excentrique_fw-la contain_v betwixt_o the_o line_n of_o the_o mean_a move_a and_o the_o line_n of_o the_o true_a move_n of_o the_o epicicle_n and_o be_v mark_v on_o both_o side_n of_o the_o foresay_a figure_n with_o the_o letter_n i_o k._n what_o be_v the_o equation_n of_o the_o centre_n in_o the_o epicicle_n it_o be_v a_o arch_n of_o the_o epicicle_n contain_v betwixt_o the_o mean_a and_o true_a auge_n of_o the_o epicicle_n and_o be_v mark_v on_o both_o hand_n of_o the_o say_a figure_n with_o the_o letter_n v_o m._n but_o this_o arch_n be_v no_o arch_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 and_o it_o be_v great_a when_o the_o centre_n of_o the_o epicicle_n be_v in_o any_o of_o the_o two_o mean_a longitude_n and_o you_o have_v to_o note_v that_o the_o equation_n of_o the_o centre_n in_o the_o excentrique_fw-la and_o the_o equation_n of_o the_o centre_n in_o the_o epicicle_n be_v always_o like_a moreover_o while_o the_o epicicle_n descend_v in_o the_o one_o half_a of_o the_o excentrique_fw-la from_o the_o auge_n of_o the_o excentrique_fw-la mark_v with_o d_o towards_o the_o opposite_a auge_n thereof_o mark_v with_o e_o this_o equation_n be_v take_v away_o from_o the_o mean_a inequality_n of_o the_o excentrique_fw-la and_o be_v add_v to_o the_o mean_a argument_n which_o be_v here_o by_o and_o by_o define_v so_o as_o it_o may_v make_v thereby_o and_o in_o that_o place_n as_o well_o the_o equated_a inequality_n of_o the_o excentrique_fw-la as_o the_o equated_a argument_n but_o while_o the_o epicicle_n ascend_v in_o the_o other_o half_n of_o the_o excentrique_fw-la it_o be_v clean_o contrary_a for_o when_o the_o right_a line_n ahv_n in_o the_o foresay_a second_o figure_n fall_v into_o the_o two_o parallel_n a_o i_o and_o c_o h_o m_o it_o make_v the_o two_o angle_n i_o a_o h_n and_o m_o h_n v_n to_o be_v equal_a and_o to_o the_o two_o equal_a angle_n do_v belong_v two_o like_a arch_n represent_v in_o the_o say_a figure_n by_o the_o letter_n i_o k_o and_o five_o m_n which_o arch_n or_o equation_n be_v not_o to_o be_v add_v or_o subtract_v both_o together_o but_o when_o the_o one_o be_v add_v the_o other_o be_v always_o to_o be_v take_v away_o because_o the_o one_o cleave_v to_o the_o end_n and_o the_o other_o to_o the_o begin_n of_o their_o circle_n tend_v towards_o oneself_o part_n what_o be_v the_o mean_a and_o true_a argument_n the_o mean_a argument_n be_v a_o arch_n of_o the_o epicicle_n contain_v betwixt_o the_o mean_a auge_n thereof_o and_o the_o body_n of_o the_o planet_n to_o be_v count_v towards_o that_o part_n whereinto_o to_o the_o epicicle_n be_v move_v which_o arch_n be_v represent_v in_o the_o say_v second_o figure_n by_o the_o letter_n m_o l._n and_o the_o true_a argument_n be_v a_o arch_n of_o the_o epicicle_n contain_v betwixt_o the_o true_a auge_n of_o the_o epicicle_n and_o the_o body_n of_o the_o planet_n mark_v in_o the_o foresay_a figure_n with_o the_o letter_n v_o l._n what_o be_v the_o equation_n of_o the_o epicicle_n or_o of_o the_o argument_n it_o be_v a_o arch_n of_o the_o zodiac_n contain_v betwixt_o the_o line_n of_o the_o true_a move_n of_o the_o epicicle_n and_o the_o line_n of_o the_o true_a move_n of_o the_o planet_n mark_v in_o the_o foresay_a second_o figure_n with_o the_o letter_n k_o l_o and_o this_o arch_n be_v no_o arch_n when_o the_o planet_n be_v either_o in_o the_o true_a auge_n or_o in_o the_o true_a opposite_a auge_n of_o the_o epicicle_n and_o it_o be_v great_a when_o the_o planet_n be_v in_o the_o line_n which_o be_v draw_v from_o the_o centre_n of_o the_o world_n touch_v in_o one_o point_n the_o outside_n of_o the_o epicicle_n which_o line_n be_v mark_v in_o the_o foresay_a second_o figure_n on_o the_o left_a hand_n thereof_o with_o the_o letter_n a_o l_o and_o on_o the_o right_a hand_n with_o the_o letter_n a_o i._o and_o note_n that_o when_o the_o planet_n be_v in_o the_o first_o half_n of_o the_o epicicle_n descend_v from_o the_o true_a auge_n to_o the_o opposite_a auge_n it_o add_v this_o equation_n to_o the_o true_a move_n of_o the_o epicicle_n but_o in_o the_o other_o half_n of_o the_o epicicle_n it_o take_v so_o much_o away_o but_o now_o for_o the_o better_a understanding_n of_o the_o equation_n both_o least_o and_o great_a of_o all_o the_o three_o superior_a planet_n and_o of_o all_o the_o other_o term_n belong_v to_o the_o say_v three_o planet_n it_o shall_v be_v necessary_a to_o set_v down_o this_o other_o figure_n here_o follow_v ¶_o the_o four_o figure_n belong_v to_o the_o theoriques_n of_o the_o three_o upper_a planet_n this_o figure_n differ_v not_o much_o from_o the_o sixth_o figure_n belong_v to_o the_o theoric_n of_o the_o moon_n before_o set_v down_o for_o the_o outermost_a circle_n of_o this_o figure_n signify_v as_o well_o here_o as_o there_o the_o zodiac_n who_o centre_n be_v mark_v with_o the_o letter_n a_o and_o the_o inner_a black_a circle_n signify_v the_o excentrique_fw-la carry_v the_o epicicle_n of_o any_o of_o the_o three_o upper_a planet_n who_o centre_n be_v mark_v with_o the_o letter_n b_o and_o above_o that_o centre_n be_v place_v the_o centre_n of_o the_o circle_n equant_fw-la mark_v with_o the_o letter_n c._n but_o the_o circle_n itself_o can_v fit_o be_v make_v here_o because_o it_o must_v be_v equal_a in_o every_o respect_n to_o the_o excentrique_fw-la as_o have_v be_v say_v before_o and_o each_o one_o of_o the_o five_o little_a circle_n place_v upon_o the_o excentrique_fw-la do_v signify_v the_o epicicle_n whereto_o the_o body_n of_o any_o of_o the_o three_o planet_n be_v fix_v and_o the_o 7_o half_a circle_n make_v 6_o space_n every_o space_n contain_v ten_o minute_n as_o well_o above_o as_o beneath_o the_o centre_n a_o do_v show_v the_o proportional_a minute_n which_o be_v partly_o describe_v before_o in_o the_o sixth_o figure_n of_o the_o moon_n and_o shall_v be_v more_o full_o again_o describe_v here_o now_o as_o touch_v the_o rest_n of_o the_o letter_n place_v as_o well_o within_o the_o figure_n as_o round_o about_o the_o same_o we_o come_v now_o to_o show_v their_o signification_n for_o the_o letter_n e_o f_o g_o h_n do_v signify_v the_o excentrique_fw-la who_o auge_n be_v mark_v with_o the_o letter_n e_o and_o his_o opposite_a auge_n with_o the_o letter_n g._n a_o description_n of_o the_o mean_a longitude_n moreover_o there_o be_v a_o point_n in_o the_o midst_n betwixt_o the_o centre_n a_o and_o the_o centre_n b_o

true_a opposite_a auge_n of_o the_o epicicle_n in_o all_o the_o five_o planet_n save_v in_o mercury_n the_o second_o cause_n may_v be_v the_o diverse_a magnitude_n of_o the_o epicicle_n be_v compare_v to_o his_o eccentric_a for_o the_o stationall_a point_n of_o a_o great_a epicicle_n do_v approach_v nigh_a unto_o the_o opposite_a auge_n than_o the_o stationall_a point_n of_o a_o lesser_a epicicle_n do_v the_o three_o cause_n be_v the_o periodicall_a slowness_n or_o swiftness_n of_o the_o epicicle_n be_v compare_v to_o the_o periodicall_a move_n of_o his_o excentrique_fw-la for_o the_o slow_a revolution_n of_o the_o epicicle_n make_v the_o stationall_a point_n to_o be_v nigh_o to_o the_o opposite_a auge_n of_o the_o epicicle_n and_o thereby_o as_o well_o the_o arch_n of_o progression_n as_o of_o retrogradation_n do_v increase_v and_o decrease_v four_o the_o diversity_n of_o their_o excentricity_n may_v cause_v the_o stationall_a point_n to_o alter_v in_o their_o distance_n from_o the_o opposite_a auge_n of_o the_o epicicle_n wherefore_o be_v the_o moon_n and_o sun_n exempt_v from_o these_o passion_n the_o sun_n have_v no_o epicicle_n and_o though_o the_o moon_n have_v a_o epicicle_n yet_o she_o be_v neither_o say_v to_o be_v stationarie_a nor_o retrograde_a by_o mean_n of_o the_o swiftness_n of_o the_o centre_n of_o her_o epicicle_n which_o make_v every_o day_n a_o great_a arch_n of_o the_o zodiac_n according_a ●n_o the_o succession_n of_o the_o sign_n than_o she_o can_v go_v backward_o because_o her_o epicicle_n be_v both_o small_a and_o slow_a in_o her_o gate_n and_o though_o saturn_n have_v a_o very_a small_a epicicle_n yet_o the_o swiftness_n thereof_o do_v supply_v that_o want_n and_o thereby_o he_o be_v both_o stationarie_n and_o retrograde_a and_o so_o be_v the_o other_o four_o planet_n viz._n jupiter_n mars_n venus_n and_o mercury_n when_o be_v the_o planet_n say_v to_o be_v swift_a slow_a or_o in_o a_o mean_a they_o be_v say_v to_o be_v swift_a when_o their_o true_a move_n be_v quick_a according_a to_o the_o succession_n of_o the_o sign_n than_o their_o mean_a move_n be_v and_o they_o be_v say_v to_o be_v slow_a when_o their_o true_a move_n be_v slow_a according_a to_o the_o succession_n of_o the_o sign_n than_o their_o mean_a move_n be_v and_o they_o be_v say_v to_o be_v in_o a_o mean_a when_o their_o true_a move_n according_a to_o the_o succession_n of_o the_o sign_n be_v equal_a unto_o their_o mean_a move_n when_o be_v planet_n say_v to_o be_v increase_v or_o deminish_v in_o number_n they_o be_v increase_v when_o the_o line_n of_o the_o true_a move_n go_v according_a to_o the_o succession_n of_o the_o sign_n before_o the_o line_n of_o their_o mean_a move_n and_o they_o be_v say_v to_o be_v deminish_v in_o number_n when_o the_o line_n of_o their_o true_a move_n do_v follow_v after_o the_o line_n of_o their_o mean_a move_n when_o be_v any_o planet_n say_v to_o be_v ascendent_a or_o descendent_a he_o be_v say_v to_o be_v ascendent_a while_o he_o ascend_v from_o the_o opposite_a auge_n of_o his_o epicicle_n to_o the_o auge_n thereof_o and_o he_o be_v say_v to_o be_v descendent_a while_o he_o descend_v in_o the_o other_o half_n of_o the_o epicicle_n from_o the_o auge_n to_o the_o opposite_a auge_n of_o his_o say_a epicicle_n the_o second_o general_a kind_n of_o passion_n rise_v of_o the_o comparison_n make_v by_o compare_v the_o move_n of_o every_o planet_n one_o to_o another_o comprehend_v the_o five_o aspect_n of_o the_o planet_n which_o be_v these_o here_o follow_v that_o be_v to_o say_v their_o conjunction_n their_o sextile_a aspect_n their_o quadrile_a aspect_n their_o trine_n aspect_n and_o their_o opposition_n who_o character_n be_v here_o set_v down_o together_o with_o the_o definition_n of_o every_o such_o aspect_n 1._o the_o conjunction_n mark_v thus_o ●_o be_v when_o two_o planet_n be_v both_o in_o oneself_o sign_n and_o in_o oneself_o degree_n which_o aspect_n in_o greek_a be_v call_v synodos_n 2._o the_o sextile_a aspect_n mark_v thus_o *_o be_v when_o two_o planet_n be_v distant_a one_o from_o another_o by_o a_o sixth_o part_n of_o the_o zodiac_n that_o be_v to_o say_v by_o two_o whole_a sign_n or_o 60_o degree_n which_o aspect_n be_v call_v in_o greek_a exagon●s_n 3._o the_o quadrile_a aspect_n mark_v thus_o ●_o be_v when_o two_o planet_n be_v distant_a the_o one_o from_o the_o other_o three_o whole_a sign_n or_o 90_o degree_n of_o the_o zodiac_n and_o be_v call_v in_o greek_a tetragonos_n 4._o the_o trine_n aspect_n mark_v thus_o ●_o be_v when_o two_o planet_n be_v distant_a the_o one_o from_o the_o other_o by_o four_o whole_a sign_n or_o 120_o degree_n of_o the_o zodiac_n and_o be_v call_v in_o greek_a trigonos_n 5._o the_o opposition_n mark_v thus_o ☍_o be_v when_o two_o planet_n be_v right_o opposite_a the_o one_o to_o the_o other_o and_o be_v distant_a the_o one_o from_o the_o other_o by_o six_o whole_a sign_n or_o 180_o degree_n of_o the_o zodiac_n and_o be_v call_v in_o greek_a diametros_fw-la that_o be_v to_o say_v a_o diametrall_a aspect_n as_o when_o one_o be_v right_a against_o another_o in_o a_o right_a line_n but_o you_o have_v to_o understand_v that_o ptolomey_n comprehend_v as_o well_o the_o opposition_n as_o conjunction_n of_o any_o two_o planet_n but_o especial_o of_o the_o sun_n and_o moon_n under_o this_o greek_a name_n syzigias_n and_o you_o have_v to_o note_v that_o three_o of_o these_o aspect_n that_o be_v the_o sextile_n quadrile_a and_o trine_n aspect_n be_v say_v to_o be_v double_a because_o they_o look_v two_o manner_n of_o way_n that_o be_v towards_o the_o left_a hand_n call_v the_o sinister_a aspect_n and_o towards_o the_o right_a hand_n call_v the_o dexter_a aspect_n the_o direction_n of_o the_o sinister_a aspect_n be_v according_a to_o the_o succession_n of_o the_o twelve_o sign_n which_o succession_n begin_v at_o aries_n and_o so_o proceed_v forward_o to_o taurus_n gemini_fw-la and_o cancer_n and_o so_o forth_o to_o the_o last_o point_n of_o pisces_fw-la but_o the_o direction_n of_o the_o dexter_a aspect_n be_v contrary_a to_o the_o succession_n of_o the_o sign_n look_v backward_o from_o aries_n towards_o pisces_fw-la aquarius_n capricornus_fw-la and_o so_o forth_o to_o the_o last_o point_n of_o taurus_n as_o for_o example_n if_o one_o planet_n be_v in_o the_o begin_n of_o aries_n and_o another_o in_o the_o begin_n of_o gemini_fw-la those_o two_o planet_n do_v look_v one_o to_o another_o with_o a_o sinister_a sextile_a aspect_n but_o if_o the_o one_o planet_n be_v in_o aries_n as_o before_o and_o the_o other_o in_o aquarius_n than_o they_o look_v one_o to_o another_o with_o a_o dexter_a sextile_a aspect_n as_o you_o may_v see_v by_o this_o figure_n follow_v which_o do_v plain_o show_v as_o well_o those_o aspect_n as_o all_o the_o other_o aspect_n before_o mention_v it_o show_v also_o with_o what_o aspect_n every_o one_o of_o the_o twelve_o sign_n do_v regard_v one_o another_o ¶_o the_o figure_n of_o aspect_n but_o you_o have_v to_o understand_v that_o all_o the_o planet_n do_v not_o regard_v or_o behold_v one_o another_o with_o all_o the_o foresay_a five_o aspect_n for_o though_o the_o three_o upper_a planet_n and_o the_o moon_n may_v behold_v one_o another_o or_o any_o of_o the_o rest_n with_o every_o one_o of_o the_o say_v five_o aspect_n yet_o venus_n and_o mercury_n can_v so_o do_v for_o venus_n be_v never_o distant_a from_o the_o sun_n above_o 48_o degree_n nor_o mercury_n above_o 29_o degree_n and_o yet_o they_o may_v be_v distant_a one_o from_o another_o by_o a_o sextile_a aspect_n and_o of_o the_o foresay_a aspect_n some_o be_v say_v to_o be_v mean_a and_o some_o to_o be_v true_a and_o special_o their_o conjunction_n and_o opposition_n whereof_o the_o astronomer_n do_v not_o make_v any_o great_a account_n but_o only_o of_o the_o conjunction_n and_o opposition_n belong_v to_o the_o sun_n and_o moon_n which_o two_o planet_n the_o astronomer_n do_v call_v in_o latin_a luminaria_fw-la that_o be_v to_o say_v the_o two_o chief_a light_n the_o knowledge_n of_o who_o mean_a and_o true_a conjunction_n and_o opposition_n be_v necessary_a for_o the_o better_a understanding_n of_o their_o eclipse_n when_o be_v their_o conjunction_n and_o opposition_n say_v to_o be_v mean_a or_o true_a they_o be_v say_v to_o be_v mean_a when_o the_o two_o line_n of_o both_o their_o mean_a move_n do_v meet_v in_o oneself_o point_n of_o the_o zodiac_n and_o do_v make_v oneself_o line_n and_o they_o be_v say_v to_o be_v true_a when_o the_o two_o line_n of_o their_o true_a mooving_n do_v meet_v and_o make_v both_o ownself_o line_n in_o oneself_o degree_n of_o the_o zodiac_n and_o their_o opposition_n be_v either_o mean_a or_o true_a according_a as_o the_o say_a line_n do_v meet_v in_o the_o opposite_a point_n of_o the_o zodiac_n

of_o the_o epicicle_n which_o be_v contrary_a to_o the_o succession_n of_o the_o sign_n but_o in_o respect_n of_o the_o motion_n of_o the_o excentrique_fw-la which_o be_v always_o according_a to_o the_o succession_n of_o the_o sign_n the_o two_o point_n m_n and_o five_o do_v follow_v the_o touch-point_n p_o as_o you_o may_v easy_o perceive_v by_o the_o former_a figure_n last_o set_v down_o for_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 mark_v with_o d_o or_o in_o the_o opposite_a auge_n of_o the_o same_o mark_v with_o g_o the_o three_o foresay_a point_n be_v all_o join_v together_o in_o oneself_o line_n but_o when_o the_o epicicle_n descend_v from_o d_o to_z e_z then_z p_o v_n and_o m_o be_v separate_v and_o p_o go_v before_o five_o and_o m_o and_o the_o letter_n v_o be_v the_o true_a auge_n of_o the_o epicicle_n be_v in_o the_o midst_n betwixt_o p_o and_o m._n and_o such_o digression_n or_o separation_n be_v encrase_v by_o little_a and_o littl●_n until_o the_o centre_n of_o the_o epicicle_n do_v come_v to_o the_o letter_n f_o for_o from_o thence_o they_o begin_v again_o to_o approach_v and_o to_o grow_v nigh_a together_o until_o they_o fall_v into_o the_o point_n g_o whereas_o they_o join_v again_o and_o be_v all_o one_o but_o the_o contrary_n happen_v when_o those_o point_n be_v in_o the_o other_o ascend_v half_o of_o the_o excentrique_fw-la for_o then_o m_n and_o five_o do_v go_v before_o p_o proceed_v according_a to_o the_o succession_n of_o the_o sign_n 4_o four_o the_o move_a of_o the_o epicicle_n be_v swift_a in_o the_o upper_a part_n of_o the_o excentrique_fw-la than_o in_o the_o nether_a part_n thereof_o for_o there_o the_o mean_a auge_n of_o the_o epicicle_n proceed_v contrary_a to_o the_o succession_n of_o the_o ●ignes_n that_o be_v to_o say_v towards_o that_o part_n into_o the_o which_o the_o epicicle_n be_v move_v but_o the_o contrary_n happen_v in_o the_o low_a part_n of_o the_o excentrique_fw-la and_o you_o have_v to_o note_v that_o the_o touch-point_n p_o be_v the_o measure_n of_o the_o digression_n or_o separation_n of_o both_o the_o auge_n of_o the_o epicicle_n as_o well_o true_a as_o mean_v because_o the_o touch-point_n do_v at_o no_o time_n wander_v from_o his_o place_n but_o remain_v immoovable_a the_o demonstration_n of_o this_o four_o conclusion_n be_v plain_o set_v forth_o in_o the_o former_a second_o figure_n of_o the_o moon_n whereby_o you_o may_v perceive_v that_o when_o the_o epicicle_n be_v come_v to_o the_o letter_n h_n nigh_o unto_o the_o mean_a longitude_n of_o the_o excentrique_fw-la whereas_o the_o distance_n of_o the_o foresay_a point_n m_o v_n and_o p_o be_v always_o great_a then_o immediate_o both_o the_o auge_n m_n and_o five_o begin_v again_o to_o approach_v unto_o the_o touch-point_n p_o wherefore_o m_n proceed_v towards_o p_o contrary_a to_o the_o succession_n of_o the_o sign_n until_o it_o meet_v with_o p_o in_o the_o auge_n of_o the_o excentrique_fw-la mark_v with_o the_o letter_n d._n and_o from_o thence_o m_n depart_v again_o from_o p_o contrary_a to_o the_o succession_n of_o the_o sign_n until_o it_o arrive_v to_o the_o other_o mean_a longitude_n of_o the_o excentrique_fw-la whereas_o it_o be_v further_a distant_a from_o p._n and_o by_o reason_n that_o the_o epicicle_n be_v also_o move_v into_o that_o part_n it_o fall_v out_o that_o the_o two_o mooving_n meet_v in_o oneself_o part_n the_o move_a of_o the_o moon_n in_o the_o epicicle_n or_o rather_o the_o epicicle_n itself_o by_o follow_v the_o wander_a mean_a auge_n be_v swift_a in_o his_o gate_n but_o contrariwise_o in_o the_o nether_a part_n of_o the_o excentrique_fw-la from_o the_o place_n nigh_o unto_o f_o whereas_o the_o distance_n of_o m_o p_o be_v great_a unto_o the_o other_o place_n of_o the_o great_a distance_n of_o the_o say_a point_n nigh_o unto_o h_n the_o mean_a auge_n of_o the_o epicicle_n be_v move_v according_a to_o the_o succession_n of_o the_o sign_n and_o there_o according_a to_o the_o quantity_n of_o his_o move_n it_o take_v so_o much_o away_o from_o the_o swiftness_n of_o the_o epicicle_n as_o thereby_o the_o epicicle_n in_o that_o place_n be_v much_o more_o slow_a in_o his_o gate_n how_o be_v the_o circle_n equant_fw-la of_o the_o moon_n move_v which_o be_v otherwise_o call_v the_o circle_n of_o the_o two_o nodes_fw-la or_o intersection_n signify_v the_o head_n and_o tail_n of_o the_o dragon_n this_o circle_n be_v equal_o move_v contrary_a to_o the_o succession_n of_o the_o sign_n about_o the_o centre_n and_o pole_n of_o the_o ecliptic_a make_v his_o revolution_n almost_o in_o 19_o year_n and_o by_o the_o move_n of_o this_o circle_n the_o pole_n of_o the_o deferent_n of_o the_o auge_n be_v carry_v about_o the_o pole_n of_o the_o ecliptic_n and_o the_o daily_a move_n of_o this_o orb_n under_o the_o ecliptic_n be_v but_o i3·_fw-la ii10·_fw-la iii38·_fw-la iiii23·_fw-la and_o v._o 24·_n so_o as_o it_o make_v his_o whole_a revolution_n in_o 6798_o day_n that_o be_v to_o say_v in_o 18_o egyptian_a year_n 228_o day_n 3_o hour_n i49·_fw-la ii40·_fw-la and_o iii16·_v of_o a_o hour_n how_o be_v the_o move_n or_o depart_v of_o the_o moon_n from_o these_o intersection_n call_v it_o be_v call_v the_o move_n or_o rather_o the_o anomaly_n of_o the_o moon_n latitude_n and_o the_o moon_n or_o rather_o the_o centre_n of_o her_o epicicle_n make_v one_o return_n to_o these_o intersection_n in_o 27_o day_n and_o 5_o hour_n for_o in_o that_o time_n the_o moon_n accomplish_v all_o the_o variety_n and_o change_n of_o her_o latitude_n both_o north_n and_o south_n and_o in_o one_o day_n she_o be_v separate_v from_o these_o intersection_n 13_o degree_n i1●°_n ii45·_fw-la iii39·_fw-la iiii30·_fw-la and_o u46·_fw-la and_o make_v her_o return_n to_o the_o say_a intersection_n in_o 27_o day_n 5_o hour_n and_o ii36·_v of_o a_o hour_n you_o say_v before_o that_o the_o motion_n of_o all_o the_o other_o planet_n be_v govern_v by_o the_o sun_n tell_v therefore_o in_o what_o move_v of_o any_o orb_n belong_v to_o the_o sphere_n of_o the_o moon_n there_o appear_v any_o harmony_n or_o agreement_n of_o the_o moon_n with_o the_o sun_n their_o harmony_n consist_v in_o the_o move_n of_o the_o deferent_n of_o the_o auge_n of_o the_o moon_n and_o in_o those_o thing_n which_o depend_v of_o those_o deferent_n for_o the_o deferent_n of_o the_o moon_n auge_n do_v keep_v such_o proportion_n with_o the_o excentrique_fw-la of_o the_o moon_n as_o look_v how_o much_o the_o line_n of_o her_o mean_a move_n by_o the_o move_n of_o the_o eccentric_a be_v move_v forward_o from_o the_o line_n of_o the_o mean_a move_n of_o the_o sun_n according_a to_o the_o succession_n of_o the_o sign_n begin_v at_o the_o conjunction_n or_o opposition_n of_o the_o say_a line_n of_o the_o mean_a move_n as_o well_o of_o the_o sun_n as_o of_o the_o moon_n so_o much_o do_v those_o deferent_n carry_v backward_o the_o auge_n of_o the_o excentrique_fw-la from_o the_o same_o line_n of_o the_o mean_a move_n of_o the_o sun_n contrary_a to_o the_o succession_n of_o the_o sign_n as_o you_o shall_v more_o easy_o perceive_v by_o this_o figure_n or_o instrument_n next_o follow_v use_v by_o reinholdus_n in_o his_o commentary_n make_v upon_o the_o theoriqe_n of_o purbachius_n the_o description_n and_o use_n whereof_o here_o follow_v ¶_o the_o three_o figure_n belong_v to_o the_o theoric_n of_o the_o moon_n this_o figure_n consist_v of_o certain_a orb_n and_o circle_n whereof_o some_o be_v moovable_a and_o some_o immovable_a the_o first_o low_a and_o great_a immovable_a circle_n be_v divide_v into_o 180_o part_n every_o one_o contain_v two_o degree_n which_o make_v in_o all_o 360_o degree_n signify_v the_o zodiac_n and_o the_o limb_n of_o this_o circle_n be_v divide_v into_o two_o space_n in_o the_o outermost_a whereof_o be_v set_v down_o the_o character_n of_o the_o twelve_o sign_n and_o in_o the_o innermost_a space_n be_v first_o set_v down_o above_o on_o the_o left_a hand_n nine_o little_a star_n each_o one_o represent_v the_o body_n of_o the_o sun_n and_o right_a under_o they_o be_v set_v down_o the_o first_o five_o aspect_n the_o first_o whereof_o stand_v right_o under_o the_o letter_n a_o signify_v the_o conjunction_n of_o the_o sun_n and_o moon_n mark_v thus_o ☌_o and_o next_o to_o that_o on_o the_o left_a hand_n be_v the_o sextile_a aspect_n mark_v thus_o ⚹_o and_o then_o the_o quadrat_fw-la aspect_n mark_v thus_o □_o and_o next_o to_o that_o the_o trine_n aspect_n mark_v thus_o △_o and_o then_o the_o opposition_n mark_v thus_o ☍_o and_o these_o be_v call_v the_o first_o aspect_n because_o they_o go_v before_o the_o full_a of_o the_o moon_n and_o then_o follow_v again_o the_o trine_n aspect_n the_o quadrat_fw-la the_o sextile_a aspect_n

a_o right_a line_n through_o the_o centre_n of_o the_o equant_fw-la so_o as_o it_o may_v cut_v the_o line_n of_o the_o auge_n with_o right_a angle_n it_o will_v divide_v the_o circle_n equant_fw-la into_o two_o equal_a semicircle_n but_o it_o will_v divide_v the_o excentrique_fw-la into_o two_o unequal_a portion_n whereof_o the_o uppermost_a be_v the_o lesser_a and_o the_o nethermost_a the_o great_a and_o since_o the_o move_n of_o the_o excentrique_fw-la be_v equal_a about_o the_o centre_n of_o the_o equant_fw-la and_o that_o these_o unequal_a portion_n of_o the_o excentrique_fw-la do_v turn_n about_o the_o say_a centre_n in_o equal_a time_n it_o must_v needs_o move_v more_o slow_o above_o and_o more_o quick_o beneath_o how_o be_v the_o deferent_n of_o the_o auge_n move_v they_o be_v move_v according_a to_o the_o succession_n of_o the_o sign_n about_o the_o centre_n and_o pole_n of_o the_o ecliptic_a by_o virtue_n of_o the_o eight_o sphere_n &_o according_a to_o alphonsus_n do_v make_v their_o whole_a revolution_n in_o 49000_o year_n by_o which_o move_v they_o put_v forward_o by_o little_a and_o little_a the_o auge_n of_o the_o excentriques_n how_o and_o in_o what_o manner_n be_v the_o epicicle_n of_o these_o planet_n move_v they_o be_v move_v in_o their_o upper_a part_n according_a to_o the_o succession_n of_o the_o sign_n and_o in_o their_o nether_a part_n contrary_a to_o the_o succession_n of_o the_o sign_n which_o be_v clean_o contrary_a to_o the_o move_n of_o the_o moon_n epicicle_n before_o declare_v and_o every_o one_o of_o these_o epicicle_n be_v equal_o move_v from_o his_o mean_a auge_n upon_o his_o own_o proper_a axletree_n which_o be_v also_o movable_a stand_v upon_o the_o plane_n of_o the_o excentrique_fw-la oblique_o or_o slopewise_o and_o not_o perpendicular_o and_o the_o epicicle_n of_o saturn_n and_o jupiter_n do_v go_v about_o in_o the_o space_n of_o one_o year_n and_o a_o few_o day_n more_o but_o the_o epicicle_n of_o mars_n go_v about_o in_o a_o little_a more_o than_o two_o year_n and_o by_o this_o move_n every_o epicicle_n carry_v about_o with_o he_o the_o body_n of_o his_o proper_a planet_n what_o be_v the_o daily_a move_n and_o also_o the_o periodicall_a revolution_n of_o every_o one_o of_o these_o epicicle_n the_o daily_a move_n of_o the_o epicicle_n of_o saturn_n be_v i57·_fw-la ii7·_fw-la ii●4·_fw-la iii4·_fw-la u22·_fw-la and_o that_o of_o jupiter_n be_v i54·_fw-la ii9·_fw-la iii3·_fw-la iiii●7·_fw-la u31·_fw-la and_o that_o of_o mars_n be_v i27·_fw-la ii41·_fw-la iii40·_fw-la iiii23·_fw-la u19·_fw-la so_o as_o the_o epicicle_n of_o saturn_n make_v one_o period_n in_o 378_o day_n which_o be_v one_o year_n 13_o day_n and_o 6_o hour_n i24·_fw-la ii57·_fw-la iii26·_fw-la and_o the_o epicicle_n of_o jupiter_n make_v one_o period_n in_o 398_o day_n which_o be_v one_o year_n 33_o day_n and_o 21_o hour_n i13·_fw-la ii15·_fw-la iii33·_fw-la and_o the_o epicicle_n of_o mars_n make_v one_o period_n in_o 779_o day_n which_o be_v two_o year_n 49_o day_n 22_o hour_n i28·_fw-la i●9·_fw-la iii49·_fw-la how_o be_v the_o mean_a auge_n of_o every_o one_o of_o these_o epicicle_n describe_v by_o a_o right_a line_n draw_v from_o the_o centre_n of_o the_o circle_n equant_fw-la through_o the_o centre_n of_o the_o epicicle_n even_o to_o the_o circumference_n thereof_o make_v there_o a_o point_n mark_v in_o the_o figure_n next_o follow_v with_o the_o letter_n m_o which_o be_v further_a distant_a from_o the_o centre_n of_o the_o equant_fw-la and_o the_o centre_n of_o the_o equant_fw-la govern_v the_o move_n as_o well_o of_o the_o epicicle_n as_o of_o the_o excentrique_fw-la as_o you_o may_v plain_o see_v by_o this_o figure_n follow_v ¶_o the_o second_o figure_n belong_v to_o the_o theoric_n of_o the_o three_o superior_a planet_n this_o figure_n consist_v of_o diverse_a circle_n and_o centre_n line_n and_o point_n whereof_o the_o outermost_a circle_n signify_v the_o zodiac_n who_o centre_n be_v mark_v with_o the_o letter_n a_o and_o of_o the_o two_o great_a circle_n draw_v within_o that_o cut_v one_o another_o in_o two_o point_n opposite_a the_o one_o be_v the_o circle_n equant_fw-la who_o centre_n be_v mark_v with_o the_o letter_n c_o and_o the_o other_o be_v the_o excentrique_fw-la who_o centre_n be_v mark_v with_o the_o letter_n b_o and_o the_o auge_n of_o the_o excentrique_fw-la be_v mark_v with_o the_o letter_n d_o and_o the_o opposite_a auge_n thereof_o be_v mark_v with_o the_o letter_n e_o and_o the_o four_o lesser_a circle_n place_v upon_o the_o excentrique_fw-la be_v epicicle_n whereof_o two_o have_v their_o centre_n mark_v with_o the_o letter_n h_n as_o well_o on_o the_o right_a hand_n as_o on_o the_o left_a hand_n of_o the_o figure_n for_o the_o right_a line_n c_o h_o m_o do_v point_v to_o the_o mean_a auge_n of_o the_o epicicle_n mark_v with_o the_o letter_n m_o on_o both_o side_n of_o the_o figure_n and_o the_o right_a line_n a_o h_n v_n do_v point_n to_o the_o true_a auge_n of_o the_o epicicle_n mark_v likewise_o on_o both_o side_n of_o the_o figure_n with_o the_o letter_n v_n and_o the_o right_a line_n b_o h_o p_o show_v the_o touch-point_n mark_v also_o on_o both_o side_n of_o the_o figure_n with_o the_o letter_n p_o which_o be_v always_o in_o the_o midst_n betwixt_o the_o mean_a and_o true_a auge_n of_o the_o epicicle_n be_v out_o of_o the_o line_n of_o the_o auge_n now_o what_o the_o other_o letter_n set_v down_o in_o the_o outside_n of_o this_o figure_n do_v signify_v shall_v be_v show_v when_o we_o come_v to_o describe_v the_o point_n line_n and_o arch_n belong_v to_o this_o theoric_n what_o conclusion_n do_v follow_v upon_o this_o inequality_n of_o the_o epicicle_n 1._o these_o four_o first_o the_o move_n of_o the_o planet_n to_o any_o other_o point_n in_o the_o circumference_n of_o the_o epicicle_n than_o to_o the_o mean_a auge_n of_o the_o epicicle_n and_o to_o the_o opposite_a auge_n be_v unequal_a 2._o second_o when_o the_o centre_n of_o the_o epicicle_n be_v either_o in_o the_o auge_n or_o opposite_a auge_n of_o the_o excentrique_fw-la than_o the_o three_o point_n that_o be_v the_o mean_a auge_n the_o true_a auge_n and_o the_o touch-point_n be_v all_o unite_a and_o do_v meet_v in_o oneself_o line_n but_o be_v out_o of_o the_o line_n of_o the_o auge_n they_o be_v so_o sever_v as_o the_o touch-point_n be_v in_o the_o midst_n betwixt_o the_o mean_a and_o true_a auge_n of_o the_o epicicle_n because_o that_o the_o centre_n of_o the_o excentrique_fw-la be_v in_o the_o midst_n betwixt_o the_o centre_n of_o the_o equant_fw-la and_o the_o centre_n of_o the_o ecliptic_a 3._o three_o in_o the_o descend_v half_o of_o the_o excentrique_fw-la from_o the_o auge_n towards_o the_o opposite_a auge_n thereof_o that_o be_v from_o d_o to_z e_z the_o mean_a auge_n of_o the_o epicicle_n mark_v with_o m_n go_v before_o the_o touch-point_n mark_v with_o p_o according_a to_o the_o succession_n of_o the_o sign_n and_o the_o true_a auge_n of_o the_o epicicle_n follow_v the_o say_a touch-point_n according_a to_o the_o succession_n of_o the_o sign_n but_o in_o the_o other_o ascend_v half_o of_o the_o excentrique_fw-la the_o true_a auge_n of_o the_o epicicle_n be_v out_o of_o the_o line_n of_o the_o auge_n of_o the_o excentrique_fw-la always_o incline_v from_o the_o touch-point_n towards_o the_o auge_n of_o the_o excentrique_fw-la and_o the_o mean_a auge_n of_o the_o epicicle_n incline_v towards_o the_o opposite_a auge_n of_o the_o excentrique_fw-la 4._o four_o in_o the_o upper_a part_n of_o the_o excentrique_fw-la the_o move_n of_o the_o planet_n be_v swift_a than_o in_o the_o low_a part_n of_o the_o excentrique_fw-la because_o that_o the_o mean_a auge_n of_o the_o epicicle_n go_v in_o the_o upper_a part_n of_o the_o excentrique_fw-la according_a to_o the_o succession_n of_o the_o signes●_n but_o in_o the_o other_o nether_a half_n of_o the_o excentrique_fw-la the_o move_n of_o the_o planet_n be_v slow_a go_v there_o contrary_a to_o the_o succession_n of_o the_o sign_n what_o harmony_n be_v there_o betwixt_o the_o move_n of_o the_o sun_n and_o the_o move_n of_o the_o three_o superior_a planet_n and_o whereof_o depend_v such_o harmony_n it_o chief_o depend_v upon_o the_o periodical_a revolution_n and_o move_n of_o their_o epicicle_n for_o it_o be_v well_o know_v by_o good_a observation_n that_o in_o every_o mean_a conjunction_n of_o the_o sun_n with_o any_o of_o the_o say_v three_o planet_n the_o planet_n itself_o be_v in_o the_o mean_a auge_n of_o his_o epicicle_n and_o in_o every_o mean_a opposition_n of_o the_o sun_n with_o any_o of_o the_o say_v three_o planet_n the_o planet_n itself_o be_v in_o the_o mean_a opposite_a auge_n of_o his_o epicicle_n and_o in_o any_o other_o place_n look_v how_o much_o the_o mean_a place_n of_o the_o sun_n be_v distant_a from_o the_o mean_a 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

and_o the_o conjunction_n which_o be_v call_v the_o second_o aspect_n because_o they_o chance_v after_o the_o full._n and_o the_o first_o conjunction_n be_v place_v right_o under_o the_o letter_n a_o which_o stand_v in_o the_o very_a top_n of_o the_o figure_n in_o the_o outermost_a space_n of_o the_o limb_n signify_v the_o beginning_n of_o aries_n moreover_o in_o the_o innermost_a space_n of_o the_o limb_n be_v set_v down_o these_o letter_n viz._n brcqdpeofngmh_o which_o letter_n do_v serve_v to_o show_v the_o motion_n as_o well_o of_o the_o excentrique_fw-la as_o of_o the_o auge_n of_o the_o moon_n and_o next_o to_o the_o foresay_a zodiac_n be_v place_v 2_o movable_a black_a orb_n which_o be_v the_o deferent_n of_o the_o moon_n auge_n &_o opposite_a auge_n signify_v by_o the_o 2_o little_a tape_n fasten_v to_o the_o uppermost_a black_a orb_n whereof_o the_o one_o tape_n be_v mark_v with_o the_o letter_n x_o signify_v the_o moon_n auge_n &_o the_o other_o tape_n be_v unmask_v signify_v her_o opposite_a auge_n next_o betwixt_o the_o faid_n two_o black_a orb_n be_v a_o movable_a white_a orb_n signify_v the_o excentrique_fw-la or_o deferent_a of_o the_o moon_n epicicle_n to_o which_o be_v put_v a_o little_a tape_n to_o show_v the_o place_n of_o the_o centre_n of_o the_o epicicle_n which_o centre_n be_v mark_v with_o the_o letter_n y_fw-fr and_o in_o the_o circumference_n of_o the_o say_a epicicle_n be_v fix_v the_o body_n of_o the_o moon_n and_o within_o the_o orb_n excentrique_fw-la be_v another_o immoovable_a white_a orb_n or_o roundel_n the_o centre_n whereof_o be_v the_o centre_n of_o the_o world_n mark_v with_o the_o letter_n t_o about_o which_o be_v a_o little_a circle_n describe_v by_o the_o centre_n of_o the_o excentrique_fw-la of_o the_o moon_n by_o turn_v round_o about_o the_o centre_n of_o the_o world_n which_o centre_n of_o the_o excentrique_fw-la be_v mark_v with_o the_o letter_n s_o and_o the_o opposite_a point_n to_o that_o be_v mark_v with_o the_o letter_n v_n and_o the_o circumference_n of_o the_o say_v little_a circle_n be_v divide_v into_o nine_o equal_a part_n mark_v with_o arithmetical_a figure_n as_o 1._o 2._o 3._o and_o so_o forth_o to_o nine_o to_o show_v the_o place_n of_o the_o centre_n of_o the_o excentrique_fw-la mark_v with_o s_n in_o every_o aspect_n for_o the_o centre_n of_o the_o moon_n epicicle_n be_v in_o conjunction_n with_o the_o sun_n the_o centre_n s_n be_v find_v to_o be_v in_o the_o upper_a point_n of_o the_o little_a circle_n mark_v with_o the_o figure_n 1_o and_o be_v in_o the_o first_o sextile_a aspect_n the_o centre_n s_n be_v in_o the_o point_n mark_v with_o the_o figure_n 2_o and_o so_o proceed_v from_o point_n to_o point_n according_a to_o the_o order_n of_o the_o nine_o aspect_n before_o set_v down_o the_o use_n of_o this_o figure_n or_o instrument_n be_v plain_o show_v by_o this_o one_o example_n here_o follow_v svppose_v therefore_o the_o conjunction_n of_o the_o sun_n and_o moon_n to_o be_v under_o the_o letter_n a._n wherefore_o you_o must_v place_n in_o oneself_o line_n both_o the_o auge_n of_o the_o excentrique_fw-la mark_v with_o the_o letter_n x_o and_o also_o the_o centre_n of_o the_o epicicle_n mark_v with_o the_o letter_n y_fw-fr right_a under_o the_o letter_n a._n and_o because_o the_o centre_n of_o the_o epicicle_n do_v move_v towards_o the_o left_a hand_n according_a to_o the_o succession_n of_o the_o sign_n and_o that_o the_o auge_n of_o the_o moon_n do_v move_v towards_o the_o right_a hand_n contrary_a to_o the_o succession_n of_o the_o sign_n you_o must_v bring_v the_o centre_n y_fw-fr to_o the_o letter_n b_o for_o there_o will_v his_o place_n be_v within_o four_o day_n next_o after_o the_o conjunction_n and_o there_o have_v stay_v the_o centre_n y_fw-fr turn_v the_o auge_n x_o towards_o the_o right_a hand_n even_o to_o the_o letter_n m_o &_o stay_v it_o there_o so_o shall_v you_o find_v the_o mid_n body_n of_o the_o sun_n who_o then_o follow_v the_o moon_n to_o be_v in_o the_o midst_n betwixt_o the_o two_o letter_n b_o and_o m_o right_a over_o the_o sextile_a aspect_n and_o at_o that_o time_n the_o moon_n be_v say_v to_o be_v in_o a_o sextile_a aspect_n to_o the_o sun_n for_o than_o she_o be_v nigh_o to_o the_o mean_a longitude_n signify_v here_o in_o this_o figure_n by_o a_o white_a right_a line_n always_o cross_v the_o line_n of_o the_o auge_n which_o be_v also_o white_a in_o the_o centre_n of_o the_o world_n with_o right_a angle_n and_o the_o shape_n of_o the_o moon_n light_n be_v then_o horn_a like_o a_o sycle_n call_v in_o greek_a minoide_n and_o in_o latin_a falcata_fw-la but_o at_o the_o seven_o day_n after_o the_o conjunction_n her_o light_n will_v increase_v somewhat_o more_o wherefore_o by_o turn_v the_o centre_n y_fw-fr to_o the_o letter_n c_o and_o the_o auge_n x_o to_o the_o letter_n n_n you_o shall_v find_v the_o centre_n of_o the_o sun_n to_o be_v in_o the_o very_a midst_n betwixt_o those_o two_o letter_n right_a over_o the_o quadrat_fw-la aspect_n and_o the_o moon_n to_o be_v right_a in_o the_o opposite_a auge_n and_o thereby_o to_o be_v in_o a_o quadrat_fw-la aspect_n to_o the_o sun_n at_o which_o time_n the_o shape_n of_o her_o light_n be_v say_v to_o be_v half_v which_o may_v be_v call_v the_o half_a moon_n in_o greek_a diochotomos_n and_o in_o latin_a dimidia_fw-la or_o dimidiata_fw-la but_o the_o eleven_o day_n after_o the_o conjunction_n she_o will_v seem_v round_o body_v though_o not_o at_o the_o full_a wherefore_o you_o must_v bring_v the_o centre_n y_fw-fr to_o the_o letter_n d_o and_o the_o auge_n x_o to_o the_o letter_n o_o so_o shall_v you_o find_v the_o centre_n of_o the_o sun_n to_o be_v in_o the_o midst_n betwixt_o those_o two_o letter_n right_a over_o the_o mark_n of_o the_o trine_n aspect_n for_o then_o the_o moon_n be_v again_o in_o the_o mean_a longitude_n be_v say_v to_o be_v in_o a_o trine_n aspect_n to_o the_o sun_n and_o the_o shape_n of_o her_o light_n be_v round_o like_o a_o bowl_n and_o may_v be_v call_v the_o whole_a moon_n though_o not_o the_o full_a moon_n and_o in_o greek_a it_o be_v call_v a●●phichyrtos_n in_o latin_a utrinque_fw-la gibbosa_fw-la again_o when_o the_o moon_n be_v fifteen_o day_n old_a then_o bring_v both_o the_o centre_n y_fw-fr and_o also_o the_o auge_n x_o to_o the_o letter_n e_o for_o than_o you_o shall_v find_v the_o sun_n to_o be_v right_a over_o the_o mark_n of_o opposition_n so_o as_o the_o moon_n be_v then_o opposite_a to_o the_o sun_n and_o then_o she_o be_v at_o the_o full_a call_v in_o latin_a pleni_fw-la lunium_fw-la and_o in_o greek_a panselmos_n but_o the_o nineteenth_o day_n of_o her_o age_n the_o centre_n y_fw-fr will_v be_v in_o the_o letter_n f_o and_o the_o auge_n x_o in_o the_o letter_n h_n and_o then_o the_o moon_n be_v the_o three_o time_n in_o the_o mean_a longitude_n and_o then_o she_o be_v again_o in_o a_o trine_n aspect_n to_o the_o sun_n as_o she_o be_v before_o at_o the_o eleven_o of_o her_o age_n and_o when_o the_o moon_n be_v two_o and_o twenty_o day_n old_a than_o the_o centre_n y_fw-fr shall_v be_v in_o g_o and_o the_o auge_n x_o in_o q_o and_o then_o the_o moon_n shall_v be_v again_o in_o a_o quadrat_fw-la aspect_n to_o the_o sun_n as_o she_o be_v before_o when_o she_o be_v seven_o day_n old_a and_o when_o she_o be_v six_o and_o twenty_o day_n old_a than_o the_o centre_n y_fw-fr shall_v be_v in_o h_n and_o the_o auge_n x_o in_o r_n and_o then_o the_o moon_n be_v the_o four_o time_n in_o the_o mean_a longitude_n shall_v be_v in_o a_o sextile_a aspect_n as_o she_o be_v before_o be_v but_o four_o day_n old_a and_o when_o she_o shall_v be_v thirty_o day_n old_a than_o the_o centre_n y_fw-fr and_o the_o auge_n x_o shall_v meet_v together_o under_o a_o and_o so_o the_o moon_n shall_v be_v again_o in_o conjunction_n with_o the_o sun_n all_o which_o thing_n be_v brief_o set_v down_o by_o reinholdus_n in_o this_o table_n follow_v consist_v of_o seven_o collum_n in_o the_o first_o whereof_o be_v set_v down_o the_o day_n of_o the_o moon_n age_n during_o her_o increase_n that_o be_v to_o say_v from_o the_o conjunction_n to_o the_o full_a contain_v fifteen_o day_n descend_v downward_o in_o the_o second_o collum_n be_v set_v the_o first_o five_o aspect_n and_o in_o the_o three_o collum_n the_o place_n or_o point_n of_o the_o excentrique_fw-la in_o the_o four_o collum_n the_o name_n of_o the_o moon_n diverse_a shape_n of_o light_n serve_v as_o well_o to_o her_o increase_n as_o decrease_v in_o the_o five_o collum_n be_v set_v again_o the_o place_n of_o the_o excentrique_fw-la in_o the_o sixth_o collum_n the_o second_o aspect_n like_v to_o the_o first_o and_o in_o the_o last_o

the_o planet_n so_o much_o be_v the_o planet_n itself_o distant_a from_o the_o mean_a auge_n of_o the_o epicicle_n as_o you_o shall_v easy_o perceive_v by_o this_o figure_n follow_v what_o mean_a conjunction_n or_o opposition_n be_v shall_v be_v declare_v hereafter_o in_o the_o second_o book_n treat_v of_o the_o passion_n of_o the_o planet_n ¶_o the_o three_o figure_n belong_v to_o the_o theoric_n of_o the_o three_o superior_a planet_n this_o figure_n as_o you_o see_v consist_v of_o two_o several_a circle_n whereof_o the_o lesser_a circle_n which_o stand_v above_o signify_v the_o epicicle_n carry_v the_o planet_n who_o centre_n be_v mark_v with_o the_o letter_n b._n and_o the_o great_a circle_n beneath_o be_v the_o deferent_a of_o the_o sun_n in_o each_o of_o which_o circle_n be_v set_v down_o the_o character_n of_o the_o five_o aspect_n whereof_o in_o both_o circle_n that_o of_o the_o conjunction_n be_v place_v above_o and_o that_o of_o the_o opposition_n beneath_o and_o on_o each_o hand_n on_o both_o side_n be_v place_v the_o character_n of_o the_o other_o three_o aspect_n that_o be_v the_o sextile_n the_o quadrat_fw-la and_o the_o trine_n aspect_n the_o letter_n set_v down_o on_o both_o side_n of_o either_o circle_n do_v serve_v to_o show_v the_o point_n of_o move_v as_o well_o of_o the_o sun_n in_o his_o deferent_a as_o of_o the_o planet_n in_o his_o epicicle_n for_o when_o the_o sun_n by_o his_o mean_a move_n be_v in_o the_o point_n c_o of_o his_o deferent_a and_o the_o planet_n in_o the_o mean_a auge_n of_o his_o epicicle_n mark_v with_o d_o then_o be_v both_o their_o mean_a move_n join_v in_o oneself_o line_n and_o so_o be_v in_o a_o conjunction_n and_o as_o the_o sun_n depart_v from_o thence_o to_o the_o point_n e_o set_v down_o on_o the_o left_a hand_n of_o his_o deferent_a have_v go_v a_o sixth_o part_n of_o his_o deferent_a and_o thereby_o be_v in_o the_o first_o sextile_a aspect_n so_o the_o planet_n depart_v from_o the_o mean_a auge_n of_o his_o epicicle_n and_o come_v to_o the_o point_n f_o have_v go_v also_o a_o sixth_o part_n of_o his_o epicicle_n and_o be_v thereby_o in_o the_o first_o sextile_a aspect_n and_o when_o the_o sun_n come_v to_o the_o point_n g_o and_o the_o planet_n to_o the_o point_n h_n than_o they_o be_v both_o in_o a_o quadrat_fw-la aspect_n and_o when_o the_o sun_n come_v to_o the_o point_n i_o and_o the_o planet_n to_o the_o point_n k_o then_o be_v they_o both_o in_o a_o trine_n aspect_n and_o when_o the_o sun_n be_v in_o the_o point_n l_o and_o the_o planet_n in_o the_o point_n m_o then_z they_o be_v just_o opposite_a one_o to_o another_o be_v both_o in_o oneself_o line_n and_o in_o depart_v from_o thence_o they_o observe_v like_o order_n in_o go_v through_o the_o other_o half_n of_o their_o circle_n until_o they_o come_v again_o to_o be_v in_o a_o conjunction_n as_o the_o letter_n n_n p_o r_o on_o the_o right_a hand_n be_v the_o half_a of_o the_o sun_n deferent_a and_o the_o letter_n o_o q_o s_o on_o the_o right_a hand_n be_v the_o half_a of_o the_o epicicle_n do_v show_v of_o this_o harmony_n do_v follow_v three_o conclusion_n 1._o first_o one_o period_n of_o the_o epicicle_n be_v just_o accomplish_v in_o so_o much_o time_n as_o pass_v betwixt_o two_o conjunction_n of_o the_o sun_n and_o of_o the_o planet_n 2._o second_o look_v how_o many_o degree_n the_o sun_n by_o his_o mean_a move_n be_v distant_a from_o the_o mean_a move_n of_o the_o planet_n so_o much_o do_v the_o planet_n depart_v from_o the_o mean_a auge_n of_o his_o epicicle_n and_o therefore_o the_o mean_a move_n of_o the_o centre_n of_o the_o epicicle_n and_o the_o mean_a move_n of_o the_o planet_n in_o his_o epicicle_n be_v join_v together_o be_v equal_a to_o the_o mean_a move_n of_o the_o sun_n 3._o three_o of_o this_o way_n may_v be_v gather_v that_o the_o epicicle_n and_o the_o excentrique_fw-la as_o touch_v their_o swiftness_n and_o slowness_n of_o gate_n in_o make_v their_o periodicall_a revolution_n be_v clean_o contrary_a one_o to_o another_o for_o in_o those_o place_n whereas_o the_o move_n of_o the_o excentrique_fw-la be_v slow_a there_o the_o move_n of_o the_o epicicle_n be_v swift_a and_o yet_o their_o move_n being_n all_o join_v together_o be_v equal_a to_o the_o move_n of_o the_o sun_n what_o measure_n do_v ptolomey_n appoint_v to_o every_o one_o of_o their_o orb_n their_o measure_n do_v depend_v of_o the_o semidiameter_n of_o the_o excentrique_fw-la which_o be_v suppose_v to_o contain_v 60_o part_n or_o degree_n and_o of_o such_o like_a part_n the_o excentricity_n of_o the_o excentrique_fw-la of_o saturn_n contain_v 3_o degree_n i25·_n and_o that_o of_o jupiter_n 2_o degree_n i45·_n and_o that_o of_o mars_n 6_o degree_n i0·_v again_o the_o excentricity_n of_o the_o equant_fw-la of_o saturn_n contain_v 6_o degree_n i50·_n and_o that_o of_o jupiter_n contain_v 5_o degree_n i30·_n and_o that_o of_o mars_n 12_o degree_n i0·_n and_o the_o semidiameter_n of_o the_o epicicle_n of_o saturn_n contain_v 6_o degree_n i30·_n and_o that_o of_o jupiter_n 11_o degree_n i30·_n and_o that_o of_o mars_n 39_o degree_n i30·_n and_o the_o least_o altitude_n from_o the_o earth_n of_o saturn_n be_v 50_o degree_n i5·_n and_o that_o of_o jupiter_n be_v 45_o degree_n i45·_n and_o that_o of_o mars_n be_v 14_o degree_n i30·_n and_o the_o great_a altitude_n from_o the_o earth_n of_o saturn_n be_v 69_o degree_n i55·_n and_o that_o of_o jupiter_n be_v 74_o degree_n i●15_n and_o that_o of_o mars_n be_v 105_o degree_n i30_n the_o three_o intention_n show_v what_o point_n line_n and_o arche_n be_v necessary_a to_o be_v know_v in_o the_o theoriques_n of_o the_o three_o upper_a planet_n which_o be_v these_o here_o follow_v 1._o first_o the_o auge_n and_o opposite_a auge_n as_o well_o of_o the_o excentrique_fw-la as_o of_o the_o circle_n equant_fw-la 2._o the_o line_n of_o the_o mean_a and_o true_a move_n of_o the_o epicicle_n and_o of_o the_o planet_n 3._o the_o mean_a and_o true_a move_n of_o the_o epicicle_n and_o of_o the_o planet_n 4._o the_o inequality_n or_o centre_n of_o the_o excentrique_fw-la both_o mean_a and_o true_a 5._o the_o mean_a and_o true_a auge_n of_o the_o epicicle_n 6._o the_o equation_n of_o the_o excentrique_fw-la or_o of_o the_o centre_n as_o well_o in_o the_o excentrique_fw-la as_o in_o the_o epicicle_n 7._o the_o inequality_n of_o commutation_n or_o argument_n both_o mean_a and_o true_a 8._o the_o equation_n of_o the_o argument_n 9_o the_o mean_a longitude_n 10._o the_o excess_n of_o the_o long_a longitude_n 11._o the_o excess_n of_o the_o nigh_a longitude_n 12._o the_o proportional_a minute_n both_o nigh_o and_o more_o remote_a 13._o the_o diameter_n of_o the_o auge_n 14._o the_o diameter_n of_o the_o mean_a longitude_n in_o the_o epicicle_n 15._o the_o upper_a and_o nether_a half_n of_o the_o epicicle_n 16._o the_o oriental_a and_o occidental_a half_n of_o the_o epicicle_n the_o description_n of_o all_o which_o thing_n do_v here_o follow_v but_o first_o as_o touch_v the_o auge_n and_o opposite_a auge_n as_o well_o of_o the_o excentrique_fw-la as_o of_o the_o equant_fw-la they_o be_v already_o before_o describe_v the_o line_n of_o the_o mean_a move_n of_o the_o planet_n or_o of_o his_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 to_o the_o zodiac_n and_o be_v a_o parallel_n or_o equal_o distant_a to_o another_o line_n draw_v from_o the_o centre_n of_o the_o equant_fw-la and_o pass_v through_o the_o centre_n of_o the_o epicicle_n of_o which_o two_o line_n the_o first_o be_v mark_v in_o the_o second_o figure_n on_o the_o right_a hand_n thereof_o with_o the_o letter_n a_o i_o and_o the_o other_o line_n be_v mark_v on_o the_o same_o hand_n with_o the_o letter_n c_o h._n but_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 through_o the_o centre_n of_o the_o epicicle_n even_o to_o the_o zodiac_n represent_v on_o both_o hand_n of_o the_o say_a figure_n with_o the_o letter_n a_o k._n now_o the_o line_n of_o the_o true_a move_n of_o the_o planet_n be_v a_o right_a line_n draw_v from_o the_o centre_n of_o the_o world_n through_o the_o body_n of_o the_o planet_n unto_o the_o zodiac_n signify_v by_o the_o letter_n a_o l_o set_v down_o on_o both_o side_n of_o the_o say_v second_o figure_n but_o if_o the_o planet_n be_v either_o in_o the_o true_a auge_n or_o opposite_a auge_n of_o the_o epicicle_n than_o the_o two_o line_n ak_v and_o all_o be_v unite_v but_o if_o the_o centre_n of_o the_o epicicle_n be_v either_o in_o the_o auge_n or_o opposite_a auge_n of_o the_o excentrique_fw-la that_o be_v either_o in_o d_o or_o e_o than_o

mark_v with_o the_o letter_n i_o through_o which_o point_n be_v draw_v a_o right_a line_n mark_v with_o the_o letter_n f_o i_o h_n which_o fall_v perpendicular_o upon_o the_o line_n e_o a_o g_o cross_v the_o same_o in_o the_o point_n i_o with_o right_a angle_n and_o thereby_o show_v the_o two_o mean_a longitude_n in_o the_o excentrique_fw-la mark_v with_o the_o letter_n f_o h_n in_o which_o two_o place_n the_o centre_n of_o the_o epicicle_n be_v always_o equal_o distant_a as_o well_o from_o the_o centre_n b_o as_o from_o the_o centre_n a._n and_o therefore_o those_o two_o point_n do_v show_v the_o mean_a longitude_n and_o when_o the_o centre_n of_o the_o epicicle_n come_v to_o any_o of_o those_o two_o point_n than_o the_o great_a equation_n of_o the_o excentrique_fw-la of_o saturn_n be_v 6_o degree_n i30·_fw-la ii30·_fw-la and_o that_o of_o jupiter_n be_v 5_o degree_n i14·_n and_o that_o of_o mars_n be_v 11_o degree_n i6·_v but_o 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 mark_v with_o e_o than_o the_o arch_n q_o r_n show_v the_o great_a equation_n for_o saturn_n to_o be_v 5_o degree_n i55·_fw-la ii33·_fw-la and_o for_o jupiter_n 10_o degree_n i30·_fw-la ii15·_fw-la and_o for_o mars_n 36_o degree_n i54·_fw-la ii20·_fw-la and_o when_o the_o centre_n of_o the_o epicicle_n be_v in_o the_o opposite_a auge_n of_o the_o excentrique_fw-la mark_v with_o g_o than_o the_o arch_a qt_n show_v the_o great_a equation_n for_o saturn_n to_o be_v 6_o degree_n i38·_fw-la ii40·_fw-la and_o for_o jupiter_n 11_o degree_n i31·_fw-la ii30·_fw-la and_o for_o mars_n 46_o degree_n i38·_fw-la ii15·_fw-la what_o be_v the_o excess_n of_o the_o long_o and_o nigh_a longitude_n before_o i_o define_v what_o they_o be_v it_o shall_v not_o be_v amiss_o to_o advertise_v you_o that_o both_o ptolomey_n purbachius_n and_o the_o follower_n of_o alphonsus_n in_o count_v or_o measure_v the_o equation_n of_o the_o epicicle_n of_o the_o moon_n or_o of_o the_o argument_n as_o they_o term_v it_o they_o have_v regard_v only_o to_o the_o excess_n of_o the_o long_o and_o short_a diameter_n of_o the_o auge_n of_o the_o excentrique_fw-la which_o excess_n they_o call_v the_o diversity_n of_o the_o diameter_n which_o be_v plain_o describe_v before_o in_o the_o sixth_o figure_n belong_v to_o the_o theoric_n of_o the_o moon_n and_o therefore_o resort_v thereunto_o that_o you_o may_v the_o better_o bear_v it_o in_o mind_n but_o in_o the_o other_o planet_n they_o make_v two_o excess_n whereof_o they_o call_v the_o one_o the_o excess_n of_o the_o long_a longitude_n and_o the_o other_o the_o excess_n of_o the_o nigh_a longitude_n the_o excess_n of_o the_o long_a longitude_n be_v a_o arch_n of_o the_o zodiac_n show_v the_o equation_n of_o the_o epicicle_n when_o the_o centre_n thereof_o be_v in_o any_o of_o the_o two_o mean_a longitude_n mark_v in_o the_o excentrique_fw-la on_o the_o right_a hand_n with_o the_o letter_n h_n and_o on_o the_o left_a hand_n with_o the_o letter_n f_o for_o then_o the_o foresay_a arch_n of_o the_o zodiac_n be_v great_a than_o that_o which_o show_v the_o equation_n of_o the_o epicicle_n his_o centre_n be_v in_o the_o auge_n of_o the_o excentrique_fw-la mark_v with_o e._n but_o when_o the_o centre_n of_o the_o epicicle_n be_v in_o the_o opposite_a auge_n of_o the_o excentrique_fw-la than_o the_o foresay_a arch_n of_o the_o zodiac_n which_o be_v right_a against_o the_o mean_a longitude_n mark_v with_o h_n be_v lesser_a than_o the_o arch_n of_o the_o zodiac_n which_o represent_v the_o equation_n of_o the_o epicicle_n his_o centre_n be_v in_o the_o say_v opposite_a auge_n of_o the_o excentrique_fw-la and_o therefore_o be_v call_v the_o excess_n of_o the_o nigh_a longitude_n and_o of_o these_o two_o excess_n do_v rise_v two_o sort_n of_o proportional_a minute_n that_o be_v the_o long_o and_o the_o nigh_a all_o which_o thing_n you_o shall_v better_o understand_v by_o help_n of_o the_o last_o four_o figure_n in_o which_o figure_n the_o arch_n mark_v with_o the_o letter_n q_o r_n s_o on_o the_o right_a hand_n of_o the_o say_a figure_n be_v the_o arch_n of_o the_o zodiac_n represent_v the_o equation_n of_o the_o epicicle_n when_o his_o centre_n be_v in_o the_o point_n h_n signify_v the_o mean_a longitude_n of_o the_o excentrique_fw-la which_o arch_n be_v great_a than_o the_o arch_n mark_v with_o q_o r_n in_o the_o top_n of_o the_o figure_n show_v the_o equation_n of_o the_o epicicle_n when_o his_o centre_n be_v in_o the_o auge_n of_o the_o excentrique_fw-la mark_v with_o e_o by_z so_o much_o as_o that_o little_a portion_n of_o the_o zodiac_n mark_v on_o the_o right_a hand_n of_o the_o figure_n with_o the_o letter_n r_o s_n do_v show_v as_o you_o may_v easy_o try_v with_o your_o compass_n and_o the_o say_a arch_n q_o r_o s_o be_v lesser_a than_o the_o arch_n q_o t_o stand_v in_o the_o low_a part_n of_o the_o figure_n whereas_o the_o centre_n of_o the_o epicicle_n be_v in_o the_o opposite_a auge_n of_o the_o excentrique_fw-la mark_v with_o the_o letter_n g_o by_z so_o much_o as_o the_o letter_n s_o t_n on_o the_o right_a hand_n do_v show_v so_o as_o in_o this_o figure_n the_o letter_n r_o s_n on_o the_o right_a hand_n do_v show_v the_o excess_n of_o the_o long_a longitude_n and_o the_o letter_n s_o t_n on_o the_o same_o hand_n do_v show_v the_o excess_n of_o the_o nigh_a longitude_n of_o which_o two_o excess_n do_v spring_v the_o two_o kind_n of_o proportional_a minute_n before_o mention_v which_o do_v serve_v to_o show_v how_o much_o every_o equation_n of_o the_o epicicle_n be_v great_a or_o lesser_a than_o another_o when_o the_o centre_n of_o the_o epicicle_n be_v in_o any_o other_o place_n of_o the_o excentrique_fw-la and_o be_v clean_o out_o of_o the_o auge_n or_o opposite_a auge_n and_o also_o out_o of_o the_o mean_a longitude_n of_o the_o excentrique_fw-la and_o as_o in_o the_o sixth_o figure_n of_o the_o moon_n the_o equation_n of_o the_o epicicle_n in_o every_o place_n of_o the_o excentrique_fw-la his_o centre_n be_v neither_o in_o the_o auge_n nor_o in_o the_o opposite_a auge_n of_o the_o excentrique_fw-la be_v know_v by_o the_o proportional_a minute_n for_o that_o as_o well_o the_o excess_n of_o the_o long_a as_o the_o excess_n of_o the_o short_a diameter_n of_o the_o auge_n of_o the_o excentrique_fw-la be_v each_o of_o they_o there_o divide_v into_o sixty_o minute_n so_o here_o likewise_o the_o say_v proportional_a minute_n be_v find_v out_o by_o devide_v the_o difference_n or_o overplus_n that_o be_v betwixt_o the_o diameter_n of_o the_o mean_a longitude_n and_o the_o long_a diameter_n of_o the_o auge_n of_o the_o excentrique_fw-la into_o 60_o minute_n and_o also_o by_o devide_v into_o 60_o minute_n the_o overplus_n or_o difference_n that_o be_v betwixt_o the_o diameter_n of_o the_o mean_a longitude_n and_o the_o short_a diameter_n of_o the_o auge_n of_o the_o excentrique_fw-la as_o you_o may_v plain_o perceive_v by_o the_o last_o four_o figure_n wherein_o as_o the_o line_n a_o e_z signify_v the_o long_a diameter_n of_o the_o auge_n of_o the_o excentrique_fw-la exceed_v in_o length_n the_o diameter_n of_o the_o mean_a longitude_n mark_v on_o the_o right_a hand_n with_o a_o h_n and_o on_o the_o left_a hand_n with_o a_o f_o by_o a_o three_o part_n and_o somewhat_o more_o which_o excess_n or_o overplus_n be_v divide_v into_o 60_o minute_n even_o so_o the_o difference_n or_o overplus_n whereby_o the_o diameter_n a_o h_n or_o a_o f_o exceed_v the_o short_a diameter_n of_o the_o auge_n of_o the_o excentrique_fw-la mark_v with_o the_o letter_n a_o g_o be_v also_o divide_v into_o 60_o minute_n of_o which_o the_o first_o i60·_n be_v call_v the_o long_a proportional_a minute_n and_o the_o last_o i60·_n be_v call_v the_o nigh_a proportional_a minute_n because_o they_o be_v nigh_o to_o the_o centre_n of_o the_o earth_n and_o according_a as_o any_o other_o right_a line_n draw_v from_o a_o the_o centre_n of_o the_o world_n to_o the_o centre_n of_o the_o epicicle_n be_v in_o any_o other_o place_n of_o the_o excentrique_fw-la out_o of_o the_o auge_n or_o opposite_a auge_n of_o the_o excentrique_fw-la or_o out_o of_o the_o mean_a longitude_n be_v long_a or_o short_a so_o do_v the_o equation_n of_o the_o epicicle_n increase_v or_o decrease_v for_o as_o by_o suppose_v the_o centre_n of_o the_o epicicle_n to_o be_v in_o the_o point_n k_o of_o the_o excentrique_fw-la you_o shall_v find_v the_o right_a line_n a_o k_o to_o be_v long_o 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 in_o k_o mark_v with_o q_o s_o be_v lesser_a than_o the_o equation_n of_o the_o epicicle_n in_o the_o point_n h_n mark_v also_o with_o queen_n s_n by_o 40_o of_o such_o

e_o begin_v to_o account_v from_o f_o to_o e_z which_o be_v the_o arch_n of_o the_o say_a quadrant_n which_o i_o will_v call_v from_o henceforth_o the_o inner_a quadrant_n by_o help_n whereof_o you_o have_v to_o divide_v as_o well_o the_o middle_a quadrant_n mark_v with_o l_o n_o as_o the_o outwardmost_a quadrant_n mark_v with_o m_o h_n as_o the_o figure_n show_v and_o the_o two_o last_o quadrant_n do_v contain_v each_o of_o they_o 19_o circular_a line_n of_o division_n make_v 18_o space_n every_o space_n contain_v five_o degree_n and_o be_v to_o be_v draw_v in_o such_o order_n as_o follow_v first_o you_o have_v to_o draw_v a_o right_a line_n parallel_n to_o c_o e_o beginning_n at_o f_o and_o so_o proceed_v forward_o towards_o your_o right_a hand_n in_o some_o sufficient_a length_n for_o the_o long_o the_o better_a to_o serve_v your_o purpose_n then_o take_v with_o your_o compass_n the_o distance_n betwixt_o c_z and_o f_o and_o apply_v that_o distance_n to_o the_o say_v right_a parallel_n line_n by_o put_v the_o one_o foot_n of_o your_o compass_n in_o f_o and_o the_o other_o at_o the_o end_n of_o that_o distance_n mark_v that_o point_n with_o the_o letter_n l_o then_o by_o set_v the_o firm_a foot_n of_o your_o compass_n in_o c_o and_o by_o extend_v the_o other_o foot_n to_o l_o draw_v a_o portion_n of_o a_o circle_n somewhat_o more_o than_o a_o quadrant_n towards_o your_o left_a hand_n and_o mark_v the_o end_n of_o that_o arch_n with_o the_o letter_n n_n which_o arch_n be_v to_o be_v divide_v into_o 90_o equal_a part_n or_o degree_n by_o help_n of_o 19_o circular_a line_n of_o division_n to_o be_v draw_v as_o follow_v first_o set_v the_o firm_a foot_n of_o your_o compass_n in_o f_o and_o with_o the_o other_o foot_n extend_v to_o the_o centre_n c_o draw_v a_o circle_n from_o c_o to_o l_o and_o that_o shall_v be_v the_o first_o circle_n of_o division_n show_v that_o the_o point_n l_o be_v the_o first_o point_n from_o whence_o you_o have_v to_o account_v the_o 90_o degree_n of_o the_o middle_a quadrant_n proceed_v upward_o by_o five_o and_o five_o until_o you_o come_v to_o 90._o then_o to_o draw_v the_o rest_n of_o the_o circle_n of_o division_n belong_v to_o the_o say_v middle_a quadrant_n you_o have_v no_o more_o to_o do_v but_o to_o remove_v the_o firm_a foot_n of_o your_o compass_n to_o every_o five_o degree_n of_o the_o first_o and_o inner_a quadrant_n and_o always_o to_o extend_v the_o other_o foot_n to_o the_o centre_n c_o so_fw-mi shall_v you_o just_o divide_v the_o arch_n of_o the_o middle_a quadrant_n into_o 90_o degree_n now_o to_o draw_v the_o arch_n of_o the_o outwardmost_a quadrant_n mark_v with_o m_o h_n you_o must_v do_v thus_o first_o take_v with_o your_o compass_n the_o distance_n betwixt_o the_o letter_n l_o and_z the_o centre_n c_o and_o apply_v that_o distance_n to_o the_o quarter_n of_o the_o first_o whole_a circle_n on_o the_o left_a hand_n mark_v with_o the_o letter_n f_o k_o which_o you_o shall_v find_v to_o be_v all_o one_o then_o by_o set_v the_o one_o foot_n of_o your_o compass_n in_o f_o and_o by_o extend_v the_o other_o foot_n to_o the_o end_n of_o that_o distance_n upon_o the_o right_a parallel_n line_n before_o draw_v and_o mark_v with_o the_o letter_n f_o l_o mark_v that_o point_n or_o end_n of_o distance_n with_o the_o letter_n m_o as_o you_o see_v in_o the_o foresay_a figure_n then_o set_v the_o firm_a foot_n of_o your_o compass_n in_o the_o centre_n c_o and_o by_o extend_v the_o other_o foot_n to_o the_o point_n m_o draw_v a_o portion_n of_o a_o circle_n somewhat_o more_o than_o a_o quadrant_n towards_o your_o left_a hand_n and_o mark_v the_o end_n thereof_o with_o the_o letter_n h_n which_o shall_v be_v the_o arch_n of_o the_o outwardmost_a quadrant_n and_o must_v be_v divide_v into_o 90_o equal_a part_n or_o degree_n by_o help_n of_o 19_o circle_n of_o division_n to_o be_v draw_v as_o follow_v first_o by_o set_v the_o firm_a foot_n of_o your_o compass_n in_o f_o and_o the_o other_o in_o k_o draw_v a_o circle_n from_o k_o to_o m_n from_o which_o point_n you_o must_v begin_v to_o account_v the_o 90_o degree_n of_o that_o arch_n and_o so_o to_o proceed_v towards_o your_o left_a hand_n from_o 5_o to_z 5_o until_o you_o come_v to_o 90_o which_o division_n be_v to_o be_v make_v by_o remove_v the_o firm_a foot_n of_o your_o compass_n to_o every_o five_o point_n of_o division_n contain_v in_o the_o arch_n of_o the_o first_o inner_a quadrant_n mark_v with_o the_o letter_n f_o e_z extend_v always_o the_o other_o movable_a foot_n to_o the_o letter_n k_o and_o so_o to_o draw_v all_o the_o circle_n of_o division_n belong_v to_o the_o outwardmost_a quadrant_n that_o do_v you_o have_v to_o draw_v the_o spirall_n line_n which_o can_v be_v right_o do_v until_o you_o have_v divide_v every_o one_o of_o the_o circle_n of_o division_n belong_v to_o the_o outwardmost_a quadrant_n each_o one_o into_o 90_o part_n or_o degree_n begin_v your_o account_n at_o every_o five_o degree_n of_o the_o arch_n of_o the_o same_o outwardmost_a quadrant_n and_o so_o to_o proceed_v from_o 5_o to_o 5_o until_o you_o come_v to_o the_o letter_n k_o whereas_o the_o 90_o degree_n of_o every_o such_o circle_n end_v how_o to_o draw_v the_o spirall_n line_n you_o see_v that_o in_o the_o foresay_a figure_n the_o spirall_n line_n begin_v at_o the_o point_n l_o and_o end_v at_o the_o centre_n of_o the_o first_o whole_a circle_n mark_v with_o c_o as_o the_o first_o circle_n of_o division_n belong_v to_o the_o middle_a quadrant_n draw_v from_o c_o to_o l_o do_v plain_o show_v but_o because_o the_o say_a spirall_n line_n be_v to_o be_v draw_v so_o as_o it_o may_v contain_v 18_o several_a portion_n you_o have_v to_o draw_v the_o first_o portion_n thereof_o thus_o first_o divide_v the_o second_o circular_a line_n of_o division_n belong_v to_o the_o outwardmost_a quadrant_n into_o 90_o equal_a part_n or_o degree_n proceed_v from_o the_o five_o point_n of_o the_o say_v second_o line_n of_o division_n unto_o k_o whereas_o be_v set_v down_o the_o 90_o degree_n serve_v to_o all_o the_o 19_o circle_n of_o division_n belong_v to_o the_o say_v outwardmost_a quadrant_n which_o be_v to_o be_v do_v by_o devide_v the_o say_v second_o line_n first_o into_o three_o equal_a part_n and_o every_o one_o of_o those_o part_n again_o into_o three_o then_o last_o of_o all_o every_o one_o of_o they_o into_o two_o part_n every_o part_n whereof_o shall_v contain_v five_o degree_n and_o after_o this_o manner_n be_v to_o be_v divide_v every_o one_o of_o the_o 19_o line_n of_o division_n belong_v to_o the_o say_v outwardmost_a quadrant_n that_o do_v take_v with_o your_o compass_n the_o first_o five_o part_n of_o that_o second_o circle_n be_v so_o divide_v and_o there_o make_v a_o prick_n at_o which_o prick_n lay_v the_o one_o end_n of_o your_o ruler_n and_o lay_v the_o other_o end_n thereof_o at_o the_o first_o five_o degree_n of_o the_o inner_a quadrant_n and_o so_o draw_v a_o dead_a right_a line_n which_o will_v cut_v the_o second_o line_n of_o division_n belong_v to_o the_o middle_a quadrant_n and_o there_o make_v a_o prick_n from_o which_o prick_n to_o the_o letter_n l_o you_o have_v to_o draw_v the_o first_o portion_n of_o the_o spirall_n line_n now_o to_o draw_v the_o second_o portion_n of_o the_o say_a spirall_n line_n you_o must_v resort_v to_o the_o three_o circular_a line_n of_o division_n belong_v to_o the_o outwardmost_a quadrant_n and_o have_v divide_v that_o line_n into_o 90_o equal_a part_n or_o degree_n as_o you_o do_v before_o the_o second_o line_n and_o take_v thereof_o with_o your_o compass_n ten_o degree_n there_o make_v a_o prick_n to_o which_o prick_n lie_v the_o one_o end_n of_o your_o ruler_n and_o the_o other_o end_n to_o the_o ten_o degree_n of_o the_o inner_a quadrant_n and_o draw_v a_o dead_a right_a line_n which_o will_v cut_v the_o three_o circular_a line_n serve_v to_o the_o middle_a quadrant_n and_o there_o make_v the_o second_o prick_n from_o which_o prick_n you_o have_v to_o draw_v the_o second_o portion_n of_o the_o spirall_n line_n so_o as_o it_o may_v join_v with_o the_o first_o portion_n then_o to_o draw_v the_o three_o portion_n of_o the_o spirall_n line_n you_o must_v proceed_v to_o the_o four_o circular_a line_n of_o division_n belong_v to_o the_o outwardmost_a quadrant_n and_o divide_v that_o into_o 90_o degree_n as_o you_o do_v before_o whereof_o you_o must_v take_v 15_o degree_n and_o there_o make_v a_o prick_n to_o which_o prick_n you_o must_v lay_v the_o one_o end_n of_o your_o ruler_n and_o the_o other_o end_n to_o the_o 15_o degree_n of_o the_o inner_a quadrant_n and_o have_v draw_v a_o right_a dead_a line_n

you_o shall_v find_v that_o it_o will_v cut_v the_o four_o circular_a line_n belong_v to_o the_o middle_a quadrant_n and_o there_o make_v a_o prick_n from_o which_o prick_n you_o have_v to_o draw_v the_o three_o portion_n of_o the_o spirall_n line_n so_o as_o it_o may_v join_v to_o the_o end_n of_o the_o second_o portion_n thereof_o now_o to_o find_v out_o the_o rest_n of_o the_o 18_o portion_n of_o the_o spirall_n line_n you_o must_v observe_v the_o self_n same_o order_n of_o work_v which_o you_o do_v before_o in_o find_v out_o the_o first_o three_o portion_n thus_o have_v plain_o describe_v unto_o you_o the_o make_n of_o the_o immovable_a part_n or_o mater_n of_o the_o say_a instrument_n i_o will_v now_o show_v you_o how_o to_o make_v the_o moovable_a part_n which_o as_o i_o say_v before_o be_v none_o other_o thing_n but_o a_o quadrant_n have_v a_o index_n with_o a_o fiducial_a line_n answerable_a in_o all_o respect_n to_o the_o first_o inner_a quadrant_n differ_v only_o in_o letter_n for_o whereas_o the_o inner_a quadrant_n be_v mark_v with_o the_o letter_n f_o c_o e_o this_o for_o difference_n sake_n and_o for_o the_o right_n place_v the_o same_o upon_o the_o mater_n be_v mark_v with_o the_o letter_n a_o b_o g._n for_o when_o you_o come_v to_o use_v this_o instrument_n you_o must_v place_v the_o angle_n a_o of_o the_o moovable_a quadrant_n upon_o the_o centre_n c_o of_o the_o inner_a quadrant_n there_o to_o be_v fasten_v with_o a_o pin_n so_o as_o the_o moovable_a quadrant_n may_v turn_v round_o about_o upon_o the_o mater_n the_o description_n of_o the_o say_a instrument_n the_o outward_a broad_a hoop_n or_o circle_n of_o this_o instrument_n will_v be_v of_o fine_a latton_n or_o brass_n contain_v in_o breadth_n about_o a_o inch_n and_o a_o half_a and_o in_o thickness_n almost_o a_o quarter_n of_o a_o inch_n and_o the_o whole_a diameter_n thereof_o will_v be_v about_o five_o inch_n and_o in_o the_o very_a midst_n of_o the_o inside_n of_o the_o broad_a circle_n be_v trace_v a_o middle_a circle_n which_o be_v divide_v into_o four_o quarter_n every_o quarter_n contain_v 90_o degree_n whereof_o no_o more_o be_v grave_v with_o numeral_a figure_n but_o the_o two_o nether_a quarter_n the_o one_o on_o the_o right_a hand_n and_o the_o other_o on_o the_o left_a hand_n and_o the_o 90_o degree_n be_v place_v at_o the_o nether_a end_n whereas_o both_o those_o quarter_n do_v meet_v and_o at_o the_o upper_a end_n of_o the_o broad_a circle_n be_v to_o be_v place_v a_o ringle_n to_o hold_v the_o instrument_n thereby_o when_o you_o will_v use_v the_o same_o now_o overthwart_a the_o say_v broad_a circle_n be_v fasten_v in_o the_o very_a midst_n of_o the_o two_o outside_n thereof_o two_o thin_a plate_n of_o latton_n signify_v the_o horizon_n bear_v in_o breadth_n about_o a_o quarter_n of_o a_o inch_n the_o one_o plate_n on_o the_o one_o side_n of_o the_o broad_a circle_n and_o the_o other_o plate_n on_o the_o other_o side_n of_o the_o say_a circle_n stand_v right_a and_o just_a one_o against_o another_o of_o which_o two_o plate_n each_o one_o be_v bore_v in_o the_o very_a midst_n on_o the_o inside_n with_o a_o little_a hole_n so_o as_o into_o those_o two_o hole_n may_v be_v put_v a_o axletree_n of_o iron_n which_o axletree_n must_v be_v big_a in_o the_o very_a midst_n to_o the_o intent_n that_o the_o needle_n be_v wrought_v into_o the_o axletree_n may_v hang_v just_a in_o the_o midst_n of_o the_o say_a axletree_n which_o needle_n will_v be_v small_a at_o the_o one_o end_n than_o at_o the_o other_o for_o the_o small_a and_o sharp_a end_n thereof_o be_v touch_v with_o a_o perfect_a stone_n do_v always_o show_v the_o magnetical_a declination_n of_o the_o place_n whereas_o you_o make_v your_o trial_n and_o the_o needle_n itself_o will_v be_v in_o length_n almost_o equal_a to_o the_o whole_a diameter_n of_o the_o broad_a circle_n yet_o so_o as_o it_o may_v easy_o play_v and_o turn_v up_o and_o down_o without_o touch_v the_o same_o these_o part_n be_v fit_o and_o artificial_o set_v together_o you_o have_v to_o cover_v the_o two_o outside_n of_o the_o instrument_n each_o of_o they_o with_o a_o round_a and_o clear_a glass_n that_o through_o they_o you_o may_v always_o see_v upon_o what_o degree_n the_o sharp_a point_n of_o the_o needle_n fall_v after_o it_o remain_v steadie_a without_o move_v which_o glass_n serve_v to_o keep_v the_o needle_n from_o wind_n and_o dust_n will_v be_v so_o fasten_v to_o the_o outwardmost_a edge_n of_o the_o broad_a circle_n as_o they_o may_v stand_v sure_a and_o not_o fall_v away_o the_o use_n of_o the_o say_v two_o instrument_n first_o to_o find_v out_o by_o this_o instrument_n the_o declination_n of_o the_o needle_n under_o the_o horizon_n upon_o the_o land_n you_o must_v resort_v into_o a_o place_n void_a of_o wind_n or_o if_o you_o will_v try_v it_o upon_o the_o sea_n i_o think_v it_o best_o to_o go_v to_o that_o place_n or_o coubbard_n of_o the_o ship_n wherein_o the_o mariner_n compass_n be_v wont_a to_o stand_v and_o there_o steady_o to_o hold_v the_o instrument_n hang_v upon_o your_o right_n or_o left_a thumb_n so_o as_o it_o may_v hang_v right_a north_n and_o south_n according_a as_o the_o mariner_n compass_n do_v direct_v you_o or_o else_o by_o help_n of_o some_o little_a dial_n who_o needle_n be_v touch_v with_o a_o perfect_a stone_n and_o when_o you_o see_v that_o the_o needle_n stand_v still_o mark_v well_o upon_o what_o degree_n in_o the_o middle_a line_n of_o the_o broad_a circle_n it_o fall_v for_o that_o shall_v be_v the_o degree_n of_o declination_n for_o that_o place_n and_o have_v find_v the_o degree_n of_o declination_n take_v into_o your_o hand_n the_o instrument_n of_o latitude_n make_v of_o brass_n or_o pasteboard_n in_o such_o form_n as_o you_o see_v set_v down_o on_o the_o right_a hand_n of_o the_o first_o figure_n demonstrative_a which_o instrument_n of_o latitude_n consist_v as_o i_o have_v say_v before_o of_o two_o part_n the_o one_o unmoovable_a call_v the_o mater_n and_o the_o other_o movable_a in_o the_o mater_n be_v describe_v a_o quadrant_n divide_v into_o 90_o degree_n which_o be_v the_o degree_n of_o latitude_n and_o also_o the_o spirall_n line_n and_o the_o moovable_a part_n contain_v a_o just_a quadrant_n divide_v also_o into_o 90_o degree_n which_o be_v the_o degree_n of_o declination_n together_o with_o his_o index_n have_v a_o fiducial_a line_n to_o show_v the_o latitude_n and_o this_o moovable_a part_n when_o you_o come_v to_o use_v it_o must_v be_v place_v upon_o the_o mater_n so_o as_o the_o angle_n a_o of_o the_o moovable_a part_n must_v be_v fasten_v with_o a_o pin_n upon_o the_o centre_n or_o angle_n of_o the_o mater_n mark_v with_o the_o letter_n c_o in_o such_o sort_n as_o the_o moovable_a quadrant_n may_v turn_v round_o about_o upon_o the_o mater_n that_o do_v seek_v out_o in_o the_o arch_n of_o the_o movable_a quadrant_n the_o degree_n of_o declination_n before_o find_v by_o the_o instrument_n of_o declination_n and_o lay_v that_o degree_n just_a upon_o the_o spirall_n line_n describe_v in_o the_o mater_fw-la and_o hold_v it_o fast_o there_o with_o your_o thumb_n look_v at_o that_o very_a instant_n upon_o what_o degree_n of_o latitude_n the_o index_n with_o his_o fiducial_a line_n fall_v for_o that_o shall_v be_v the_o latitude_n of_o that_o place_n as_o for_o example_n m._n doctor_n gilbert_n have_v find_v by_o the_o instrument_n of_o declination_n as_o he_o write_v to_o i_o the_o declination_n at_o london_n to_o be_v 72_o degree_n then_o by_o apply_v the_o same_o to_o the_o instrument_n of_o latitude_n in_o such_o order_n as_o be_v before_o teach_v he_o find_v the_o latitude_n of_o london_n to_o be_v 51_o degree_n 32_o minute_n and_o i_o prove_v the_o same_o at_o my_o own_o house_n at_o newton_n flotman_n not_o distant_a above_o four_o mile_n southward_o from_o norwich_n i_o find_v the_o declination_n of_o the_o needle_n to_o be_v 73_o degree_n and_o a_o little_a more_o and_o thereby_o i_o find_v our_o latitude_n here_o to_o be_v 52_o degree_n or_o thereabouts_o both_o these_o instrument_n i_o receive_v not_o long_o since_o from_o my_o dear_a friend_n m._n doctor_n gilbert_n for_o the_o which_o i_o most_o hearty_o thank_v he_o the_o invention_n of_o which_o instrument_n deserve_v more_o worthy_a commendation_n and_o praise_n than_o i_o be_o able_a any_o way_n to_o yield_v hope_v that_o all_o seaman_n will_v be_v as_o thankful_a to_o he_o as_o i_o be_o in_o heart_n and_o good_a will_n for_o who_o profit_n there_o be_v never_o invent_v from_o the_o beginning_n of_o the_o world_n two_o such_o noble_a and_o necessary_a instrument_n as_o these_o be_v and_o therefore_o worthy_a to_o be_v esteem_v of_o all_o man_n according_o by_o