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centre_n or_o pole_n they_o make_v their_o regular_a move_n and_o first_o how_o and_o in_o what_o manner_n the_o excentrique_fw-la of_o the_o moon_n carry_v the_o epicicle_n be_v move_v the_o excentrique_fw-la of_o the_o moon_n be_v equal_o move_v about_o the_o centre_n of_o the_o world_n according_a to_o the_o succession_n of_o the_o sign_n and_o about_o his_o own_o pole_n which_o be_v distant_a on_o both_o side_n from_o the_o pole_n of_o the_o ecliptic_a five_o degree_n make_v his_o revolution_n in_o the_o space_n of_o one_o month_n and_o by_o this_o move_n it_o carry_v about_o the_o centre_n of_o the_o epicicle_n equal_o through_o the_o zodiac_n and_o the_o daily_a move_n of_o this_o excentrique_fw-la or_o of_o the_o centre_n of_o the_o epicicle_n under_o the_o zodiac_n be_v 13_o degree_n i10·_fw-la ii35·_fw-la iii1·_fw-la iiii7·_fw-la v._o 22·_fw-la so_o as_o his_o whole_a revolution_n be_v make_v in_o 27_o day_n seven_o hour_n i43·_fw-la ii5·_fw-la iii8·_fw-la and_o so_o much_o 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centre_n of_o the_o excentrique_fw-la to_o describe_v a_o little_a circle_n about_o the_o centre_n of_o the_o world_n who_o semidiameter_n be_v equal_a to_o the_o excentricity_n which_o little_a circle_n you_o may_v see_v in_o the_o first_o figure_n of_o the_o moon_n theoric_n mark_v with_o the_o letter_n b._n h_n enuiron_v the_o centre_n of_o the_o zodiac_n mark_v with_o the_o letter_n a._n and_o the_o daily_a move_n of_o these_o deferent_n of_o the_o auge_n contrary_a to_o the_o succession_n of_o the_o sign_n be_v eleven_o degree_n i12·_fw-la ii18·_fw-la iii21·_fw-la iiii52·_fw-la v._o 33·_fw-la make_v one_o whole_a revolution_n in_o 32_o day_n three_o hour_n i4·_fw-la ii38·_fw-la iiiâ—°_n how_o and_o in_o what_o manner_n be_v the_o epicicle_n move_v or_o turn_v about_o this_o epicicle_n be_v place_v in_o the_o excentrique_fw-la and_o elevate_v above_o the_o centre_n of_o the_o zodiac_n be_v move_v in_o the_o upper_a part_n of_o the_o excentrique_fw-la contrary_a to_o the_o 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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 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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 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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 âš¹_o and_o then_o the_o quadrat_fw-la aspect_n mark_v thus_o â–¡_o and_o next_o to_o that_o the_o trine_n aspect_n mark_v thus_o â–³_o and_o then_o the_o opposition_n mark_v thus_o â˜_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
collum_n the_o day_n of_o the_o moon_n age_n after_o the_o full_a during_o her_o decrease_n or_o wane_n that_o be_v from_z 15_o to_o 30_o ascend_v upward_o the_o table_n follow_v in_o the_o next_o page_n a_o table_n show_v the_o divers_a shape_v of_o the_o moon_n 1._o 2._o 3._o 4._o 5._o 6._o 7._o the_o day_n or_o age_n of_o the_o moon_n the_o first_o five_o aspect_n of_o the_o moon_n the_o place_n of_o the_o excentrique_fw-la the_o diverse_a shape_n and_o name_n of_o the_o light_n of_o the_o moon_n the_o place_n of_o the_o excentrique_fw-la the_o second_o five_o aspect_n of_o the_o moon_n the_o date_n 1._o ☌_o in_o the_o auge_n coniunctio_fw-la the_o new_a moon_n in_o the_o auge_n ☌_o 30._o 4._o âš¹_o in_o the_o mean_a longitude_n of_o the_o excentrique_fw-la falcata_fw-la the_o horn_a moon_n in_o the_o mean_a longitude_n of_o the_o excentrique_fw-la âš¹_o 26._o 7._o â–¡_o in_o the_o opposite_a auge_n demidiata_n the_o half_a moon_n in_o the_o opposite_a auge_n â–¡_o 22._o 11._o â–³_o in_o the_o mean_a longitude_n of_o the_o excentrique_fw-la vtrinquegihbosa_n almost_o round_o in_o the_o mean_a longitude_n of_o the_o excentrique_fw-la â–³_o 19_o 15._o â˜_o in_o the_o auge_n pleni_fw-la lunius_fw-la the_o full_a moon_n in_o the_o auge_n opposition_n 15._o how_o be_v this_o digression_n or_o depart_v of_o the_o moon_n from_o the_o sun_n call_v it_o be_v common_o call_v the_o longitude_n or_o move_v of_o the_o moon_n from_o the_o sun_n and_o the_o moon_n return_v again_o to_o the_o sun_n or_o rather_o overtake_v he_o in_o 29_o day_n and_o one_o half_a day_n in_o which_o time_n she_o accomplish_v all_o her_o diverse_a illumination_n or_o shape_n of_o light_n that_o be_v to_o say_v she_o sustain_v all_o her_o aspect_n to_o the_o sun_n and_o show_v to_o the_o earth_n all_o the_o diversity_n of_o her_o light_n and_o appearance_n and_o this_o month_n be_v call_v the_o month_n sinodicall_a for_o there_o be_v two_o kind_n of_o lunar_a month_n the_o one_o periodicall_a in_o 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conjunction_n or_o opposition_n be_v say_v to_o be_v when_o the_o centre_n of_o the_o moon_n epicicle_n be_v either_o in_o conjunction_n or_o in_o opposition_n to_o the_o centre_n of_o the_o sun_n the_o centre_n of_o the_o epicicle_n be_v find_v to_o be_v in_o the_o auge_n of_o the_o excentrique_fw-la but_o in_o every_o quadrat_fw-la aspect_n 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 second_o by_o this_o mean_n in_o every_o conjunction_n and_o opposition_n as_o well_o the_o excentrique_fw-la as_o the_o epicicle_n be_v most_o swift_a in_o their_o motion_n but_o in_o the_o quarter_n they_o be_v slow_a because_o their_o anomaly_n or_o inequality_n be_v thereby_o alter_v as_o have_v be_v say_v a_o little_a before_o three_o the_o moon_n in_o one_o sinodicall_a month_n pass_v twice_o through_o the_o orbe_fw-la excentrique_fw-la four_o the_o centre_n of_o her_o epicicle_n in_o one_o synodical_a month_n describe_v about_o the_o centre_n of_o the_o world_n a_o certain_a ovale_n figure_n like_v to_o this_o here_o follow_v ¶_o the_o four_o figure_n belong_v to_o the_o theoric_n of_o the_o moon_n in_o which_o figure_n the_o letter_n a_o signify_v the_o centre_n of_o the_o world_n or_o of_o the_o whole_a sphere_n of_o the_o moon_n and_o therefore_o at_o the_o new_a moon_n the_o centre_n of_o the_o excentrique_fw-la be_v in_o b_o which_o centre_n b_o by_o turn_v round_o about_o the_o centre_n a_o describe_v a_o little_a circle_n in_o the_o midst_n of_o this_o figure_n mark_v with_o the_o letter_n dfnkmor_n and_o the_o four_o little_a circle_n place_v upon_o the_o ovale_n circle_n do_v signify_v the_o epicicle_n of_o the_o moon_n the_o four_o centre_n whereof_o be_v mark_v with_o these_o four_o letter_n cipe_fw-la and_o the_o letter_n c_o signify_v here_o also_o the_o auge_n of_o the_o excentrique_fw-la and_o so_o do_v the_o letter_n p_o but_o the_o letter_n je_n do_v each_o of_o they_o signify_v the_o opposite_a point_n of_o the_o auge_n moreover_o the_o line_n ac_fw-la signify_v here_o the_o line_n of_o the_o mean_a move_n of_o the_o sun_n from_o which_o line_n when_o the_o centre_n b_o depart_v towards_o the_o right_a hand_n and_o come_v to_o the_o point_n d_o which_o be_v in_o the_o little_a circle_n than_o the_o centre_n of_o the_o epicicle_n mark_v with_o c_o descend_v on_o the_o left_a hand_n to_o the_o point_n e_o which_o be_v in_o the_o ovale_fw-mi circle_n and_o then_o the_o angle_n bad_a and_o bae_n be_v equal_a through_o the_o equality_n of_o their_o move_n likewise_o when_o the_o centre_n of_o the_o excentrique_fw-la come_v to_o the_o point_n in_o the_o little_a circle_n mark_v with_o f_o the_o centre_n of_o the_o epicicle_n be_v in_o the_o point_n g._n and_o when_o the_o centre_n of_o the_o excentrique_fw-la fall_v into_o the_o point_n h_n and_o there_o have_v describe_v a_o quarter_n of_o the_o little_a circle_n than_o the_o centre_n of_o the_o epicicle_n have_v likewise_o make_v a_o quarter_n of_o the_o zodiac_n which_o be_v 90_o degree_n count_v from_o the_o line_n of_o the_o mean_a move_n of_o the_o sun_n whereof_o such_o distance_n of_o the_o moon_n from_o the_o sun_n be_v call_v a_o quarter_n and_o be_v find_v to_o be_v in_o the_o point_n 1_o be_v then_o in_o the_o opposite_a auge_n of_o the_o excentrique_fw-la and_o so_o the_o moon_n give_v light_a with_o half_a her_o body_n and_o be_v then_o nigh_a to_o the_o earth_n again_o when_o the_o centre_n of_o the_o excentrique_fw-la come_v down_o into_o k_o than_o the_o centre_n of_o the_o epicicle_n depart_v from_o the_o earth_n come_v to_o the_o point_n l_o and_o when_o the_o centre_n of_o the_o excentrique_fw-la come_v to_o the_o point_n m_o then_z the_o centre_n of_o the_o epicicle_n be_v in_o the_o point_n n._n last_o when_o the_o centre_n of_o the_o excentrique_fw-la fall_v into_o o_o the_o centre_n of_o the_o epicicle_n shall_v be_v in_o p_o so_o as_o open_v shall_v be_v both_o in_o one_o right_a line_n and_o thereby_o the_o centre_n of_o the_o epicicle_n and_o the_o centre_n of_o the_o excentrique_fw-la shall_v be_v distant_a from_o the_o sun_n half_o a_o circle_n which_o be_v a_o hundred_o and_o eighty_o degree_n and_o then_o the_o moon_n shine_v with_o her_o whole_a body_n be_v opposite_a to_o the_o sun_n and_o look_v what_o course_n the_o epicicle_n have_v keep_v in_o the_o first_o half_a of_o the_o ovale_n circle_n during_o the_o moon_n increase_n the_o like_a course_n it_o observe_v in_o the_o other_o half_n of_o the_o say_a circle_n while_o the_o moon_n decrease_v how_o be_v the_o orb_n belong_v to_o the_o sphere_n of_o the_o moon_n to_o be_v measure_v as_o the_o line_n of_o the_o auge_n mark_v with_o the_o letter_n ac_fw-la or_o ap_n in_o the_o former_a four_o figure_n contain_v 60_o degree_n or_o part_n even_o so_o the_o opposite_a auge_n mark_v with_o the_o letter_n ai_fw-fr or_o aq_n contain_v according_a to_o ptolomey_n of_o the_o like_a degree_n or_o part_n 39_o degree_n and_o i22·_n and_o the_o semidiameter_n of_o the_o excentrique_fw-la contain_v 49_o degree_n i41·_n and_o the_o excentricity_n ab_fw-la contain_v 10_o degree_n i19·_n and_o the_o semidiameter_n of_o the_o epicicle_n contain_v 5_o degree_n i13·_v but_o if_o the_o degree_n be_v such_o as_o the_o semidiameter_n of_o the_o earth_n contain_v but_o one_o degree_n or_o one_o part_n thereof_o than_o he_o proove_v by_o demonstration_n that_o the_o line_n of_o the_o auge_n contain_v but_o 59_o such_o degree_n and_o the_o line_n of_o the_o opposite_a auge_n to_o contain_v no_o more_o but_o 38_o degree_n and_o i43·_n and_o the_o semidiameter_n of_o the_o excentrique_fw-la to_o contain_v 48_o degree_n i51·_fw-la ii30·_fw-la and_o the_o excentricity_n to_o contain_v 10_o degree_n iâ—â—°_n ii30·_a and_o the_o semidiameter_n of_o the_o epicicle_n to_o
that_o diameter_n which_o be_v a_o parallel_n to_o a_o right_a line_n draw_v through_o both_o the_o nodes_fw-la which_o the_o former_a seven_o figure_n plain_o show_v for_o when_o the_o epicicle_n be_v either_o in_o m_n or_o in_o o_o than_o the_o diameter_n of_o inclination_n mark_v with_o i_o l_o be_v parallel_n to_o the_o line_n g_o f_o n_o draw_v through_o the_o two_o limit_n and_o also_o through_o the_o centre_n f._n but_o when_o the_o epicicle_n be_v in_o g_z or_o n_z than_o the_o diameter_n h_o k_n look_v upward_o be_v all_o one_o with_o the_o line_n g_o f_o n._n again_o the_o epicicle_n be_v in_o m_n and_o o_o such_o declination_n be_v make_v upon_o the_o overthwart_a diameter_n h_n k_o which_o then_o be_v all_o one_o with_o the_o line_n draw_v through_o the_o nodes_fw-la mark_v with_o the_o letter_n o_o f_o m_o but_o the_o epicicle_n be_v in_o g_z or_o n_z the_o same_o inclination_n be_v make_v upon_o the_o diameter_n i_o l_o be_v parallel_n to_o the_o line_n o_o f_o m_o so_z 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to_o the_o sphere_n of_o mercury_n to_o be_v measure_v of_o such_o like_a part_n as_o the_o semidiameter_n of_o the_o excentrique_fw-la mark_v with_o the_o letter_n d_o a_o or_o with_o p_o h_n in_o the_o former_a figure_n contain_v 60_o part_n the_o excentricity_n of_o the_o equant_fw-la mark_v in_o the_o say_a figure_n with_o the_o letter_n c_o d_o contain_v according_a to_o ptolomey_n three_o part_n and_o the_o great_a excentricity_n of_o the_o excentrique_fw-la mark_v with_o the_o letter_n c_o f_o contain_v 9_o such_o part_n and_o the_o line_n of_o the_o auge_n mark_v with_o c_o n_o contain_v 69_o such_o part_n or_o degree_n and_o the_o line_n of_o the_o opposite_a auge_n mark_v with_o c_o q_o such_o as_o it_o be_v then_o contain_v 51_o degree_n but_o when_o the_o centre_n of_o the_o epicicle_n be_v in_o the_o very_a opposite_a auge_n itself_o mark_v with_o d_o than_o the_o line_n of_o the_o say_v opposite_a auge_n mark_v with_o c_o b_o contain_v 57_o part_n but_o the_o line_n of_o the_o nigh_a approach_n mark_v on_o the_o left_a side_n of_o the_o former_a figure_n with_o c_o h_n and_o on_o the_o right_a side_n with_o c_o k_o be_v say_v to_o contain_v 55_o degree_n and_o i3°_n and_o so_o the_o semidiameter_n of_o the_o epicicle_n contain_v 22_o degree_n and_o i30°_n hereof_o it_o follow_v that_o the_o great_a distance_n of_o mercury_n be_v place_v in_o the_o auge_n of_o his_o excentrique_fw-la and_o of_o his_o epicicle_n contain_v 91_o degree_n and_o i30°_n and_o if_o his_o excentricity_n do_v continue_v always_o fix_v and_o unmoovable_a the_o altitude_n of_o mercury_n be_v in_o the_o opposite_a auge_n of_o those_o orb_n shall_v be_v 28_o degree_n and_o i30°_n and_o though_o that_o mercury_n himself_o with_o his_o body_n do_v never_o descend_v so_o far_o for_o such_o cause_n as_o be_v before_o declare_v yet_o it_o be_v necessary_a that_o this_o capacity_n be_v attribute_v to_o his_o orb_n and_o when_o mercury_n be_v in_o any_o of_o the_o point_n of_o nigh_a approach_n than_o his_o least_o altitude_n be_v 33_o degree_n and_o i4°_n the_o three_o intention_n show_v what_o point_n line_n and_o arch_n be_v meet_v to_o be_v know_v in_o the_o theoric_n of_o mercury_n in_o all_o these_o thing_n mercury_n agree_v with_o venus_n and_o with_o the_o three_o upper_a planet_n which_o be_v already_o set_v down_o in_o those_o theoriques_n need_v not_o here_o again_o to_o be_v rehearse_v &_o therefore_o resort_v to_o the_o three_o intention_n as_o well_o of_o the_o three_o upper_a planet_n as_o to_o that_o of_o venus_n in_o the_o table_n as_o well_o of_o ptolomey_n as_o in_o those_o of_o alphonsus_n and_o of_o their_o follower_n the_o equation_n of_o the_o argument_n be_v count_v at_o that_o place_n of_o the_o excentrique_fw-la in_o which_o the_o distance_n of_o the_o centre_n of_o the_o epicicle_n from_o the_o earth_n be_v equal_a unto_o the_o semidiameter_n of_o the_o excentrique_fw-la and_o to_o these_o equation_n may_v be_v add_v the_o excess_n of_o the_o long_a longitude_n and_o also_o the_o excess_n of_o the_o nigh_a longitude_n not_o that_o when_o the_o planet_n be_v in_o the_o very_a opposite_a auge_n but_o when_o he_o be_v in_o any_o of_o the_o two_o point_n of_o nigh_a approach_n to_o these_o equation_n also_o may_v be_v refer_v the_o proportional_a minute_n both_o long_o and_o nigh_o the_o equation_n of_o the_o parallax_n or_o of_o the_o epicicle_n which_o be_v set_v down_o in_o the_o prutenicall_a table_n do_v appertain_v to_o the_o auge_n of_o the_o equant_fw-la but_o the_o excess_n do_v belong_v to_o the_o point_n of_o next_o approach_n mark_v in_o the_o second_o figure_n with_o the_o letter_n h_o k._n what_o this_o word_n parallax_n do_v signify_v shall_v be_v declare_v hereafter_o and_o you_o have_v to_o understand_v that_o the_o great_a equation_n of_o the_o centre_n contain_v 3_o
of_o the_o sun_n moreover_o the_o vespertine_n go_v down_o of_o any_o star_n be_v say_v to_o be_v true_a when_o it_o go_v down_o together_o with_o the_o sun_n at_o oneself_o instant_a and_o such_o vespertine_n go_v down_o be_v say_v to_o be_v apparent_a when_o the_o star_n at_o the_o go_v down_o of_o the_o sun_n be_v hide_v which_o a_o little_a before_o may_v have_v be_v see_v and_o so_o continue_v hide_v until_o the_o morning_n until_o it_o may_v get_v from_o under_o the_o beam_n of_o the_o sun_n out_o of_o this_o difference_n of_o rise_v and_o go_v down_o of_o the_o planet_n may_v be_v gather_v these_o 6_o rule_n here_o follow_v 1._o first_o that_o the_o three_o upper_a planet_n the_o moon_n and_o also_o the_o fix_a star_n be_v subject_a to_o the_o true_a rise_n &_o set_v as_o well_o matutine_v as_o vespertine_n but_o neither_o the_o apparent_a rise_a vespertine_n nor_o the_o apparent_a set_n matutine_v do_v belong_v to_o any_o of_o they_o but_o only_o to_o the_o moon_n which_o notwithstanding_o suffer_v neither_o the_o apparent_a rise_n matutine_v nor_o the_o apparent_a rise_a vespertine_n 2._o second_o though_o venus_n and_o mercury_n be_v subject_a to_o the_o apparent_a rise_n and_o set_v as_o well_o matutine_v as_o vespertine_n yet_o they_o can_v have_v the_o true_a matutine_v set_v or_o the_o true_a vespertine_n rise_v 3._o three_o of_o all_o the_o fix_a star_n and_o of_o the_o three_o upper_a planet_n their_o true_a rise_n and_o set_v matutine_v be_v before_o their_o apparent_a rise_n and_o set_v matutine_v but_o their_o true_a vespertine_n rise_v and_o set_v be_v after_o their_o apparent_a rise_n and_o set_v 4._o four_o in_o the_o two_o inferior_a planet_n that_o be_v venus_n and_o mercury_n their_o apparent_a matutine_v and_o vespertine_n rise_v be_v after_o their_o true_a matutine_v and_o vespertine_n set_v but_o their_o apparent_a matutine_v and_o vespertine_n set_v be_v before_o their_o true_a matutine_v and_o vespertine_n rise_v 5._o five_o the_o apparent_a matutine_v rise_v of_o the_o moon_n do_v follow_v her_o true_a matutine_v rise_v and_o contrary_a her_o apparent_a matutine_v set_v do_v go_v before_o her_o true_a matutine_v set_v 6._o six_o it_o be_v meet_v that_o there_o be_v some_o distance_n of_o space_n betwixt_o any_o star_n and_o the_o sun_n whereby_o they_o shall_v either_o appear_v to_o be_v out_o of_o the_o beam_n of_o the_o sun_n or_o else_o to_o be_v hide_v under_o the_o sun_n and_o this_o distance_n be_v not_o of_o like_a quantity_n in_o every_o star_n but_o vari_v according_a to_o the_o greatness_n or_o littleness_n of_o the_o star_n for_o the_o great_a and_o more_o lightsome_a that_o the_o star_n be_v the_o lesser_a time_n it_o stay_v under_o the_o beam_n of_o the_o sun_n and_o the_o limit_n of_o the_o quantity_n of_o distance_n that_o do_v belong_v to_o every_o star_n as_o well_o to_o the_o fix_a star_n as_o to_o the_o planet_n be_v to_o be_v find_v in_o a_o great_a circle_n pass_v both_o through_o the_o body_n of_o the_o sun_n and_o also_o through_o the_o pole_n of_o the_o horizon_n for_o to_o every_o limit_n the_o astronomer_n do_v appoint_v his_o proper_a arch_n of_o quantity_n call_v of_o they_o the_o arch_n of_o vision_n define_v what_o that_o arch_n be_v the_o arch_n of_o vision_n be_v that_o portion_n of_o the_o vertical_a circle_n that_o be_v comprehend_v betwixt_o the_o horizon_n and_o the_o sun_n at_o such_o time_n as_o the_o star_n first_o begin_v to_o appear_v or_o else_o cease_v to_o be_v see_v which_o arch_n of_o vision_n in_o fix_a star_n be_v great_a or_o lesser_a according_a to_o the_o magnitude_n of_o the_o say_a star_n for_o to_o those_o star_n that_o be_v of_o the_o first_o bigness_n they_o make_v the_o arch_n of_o vision_n to_o contain_v 12_o degree_n and_o to_o those_o of_o the_o second_o bigness_n 13_o degree_n and_o to_o those_o of_o the_o three_o bigness_n 14_o degree_n and_o to_o those_o of_o the_o four_o bigness_n 15_o degree_n and_o to_o those_o of_o the_o five_o bigness_n 16_o degree_n and_o to_o those_o of_o the_o sixth_o bigness_n 17_o degree_n and_o to_o the_o least_o fix_a star_n of_o all_o they_o appoint_v 18_o degree_n which_o 18_o degree_n be_v the_o beginning_n as_o well_o of_o the_o day_n light_n in_o the_o morning_n as_o of_o the_o twilight_n in_o the_o evening_n for_o when_o the_o sun_n be_v depart_v from_o the_o horizon_n 18_o degree_n either_o upward_a or_o downward_o it_o begin_v to_o wax_v day_n light_n in_o the_o morning_n or_o twilight_n in_o the_o evening_n now_o as_o touch_v the_o quantity_n of_o the_o say_a arch_n of_o vision_n belong_v to_o every_o one_o of_o the_o five_o planet_n they_o appoint_v to_o saturn_n 11_o degree_n to_o jupiter_n 10_o degree_n to_o mars_n 11_o degree_n ½_n to_o venus_n 5_o degree_n and_o to_o mercury_n 10_o degree_n so_o as_o by_o know_v the_o degree_n of_o the_o ecliptic_a wherewith_o any_o star_n rise_v or_o go_v down_o and_o also_o the_o arch_n of_o vision_n together_o with_o the_o angle_n of_o section_n whereas_o the_o ecliptic_a and_o horizon_n do_v cross_v one_o another_o in_o oneself_o part_n you_o shall_v know_v what_o time_n the_o star_n spend_v in_o his_o rise_n or_o set_v and_o for_o the_o better_a understanding_n of_o the_o say_a arch_n of_o vision_n maginus_fw-la set_v down_o this_o figure_n here_o follow_v together_o with_o the_o description_n thereof_o by_o help_n of_o certain_a letter_n therein_o contain_v ¶_o the_o figure_n show_v the_o arch_n of_o vision_n this_o figure_n as_o you_o see_v consist_v of_o two_o whole_a circle_n be_v of_o like_a greatness_n and_o also_o it_o contain_v the_o portion_n of_o a_o great_a circle_n the_o whole_a circle_n mark_v with_o g_o e_o c_o signify_v the_o horizon_n who_o pole_n or_o zenith_n be_v mark_v with_o the_o letter_n a_o and_o the_o other_o whole_a circle_n mark_v with_o the_o letter_n f_o e_o d_o signify_v the_o ecliptic_a who_o pole_n be_v mark_v with_o the_o letter_n b_o and_o the_o letter_n d_o show_v the_o place_n of_o the_o sun_n be_v hide_v beneath_o the_o horizon_n and_o imagine_v the_o place_n of_o the_o star_n his_o appear_a or_o depart_v to_o be_v in_o c_o in_o the_o very_a horizon_n itself_o now_o the_o portion_n of_o the_o great_a circle_n draw_v through_o the_o vertical_a point_n of_o the_o horizon_n and_o also_o through_o the_o body_n of_o the_o sun_n be_v mark_v with_o the_o letter_n a_o c_o d._n and_o the_o arch_n c_o d_o be_v the_o arch_n of_o vision_n but_o now_o you_o have_v to_o understand_v that_o the_o moon_n observe_v not_o like_a law_n or_o order_n of_o hiâ—_n appear_v after_o that_o she_o have_v be_v in_o conjunction_n with_o the_o sun_n for_o though_o the_o ancient_a astronomer_n as_o theon_n alexandrinus_n alfraganius_fw-la albategnus_fw-la and_o other_o do_v appoint_v to_o her_o arch_n of_o vision_n twelve_o degree_n of_o the_o aequinoctial_a yet_o that_o be_v not_o always_o certain_a but_o sometime_o more_o and_o sometime_o less_o since_o the_o moon_n do_v show_v herself_o sometime_o soon_o an_o sometime_o late_a after_o her_o conjunction_n with_o the_o sun_n and_o that_o for_o three_o cause_n or_o respect_n first_o by_o reason_n of_o the_o inclination_n of_o the_o zodiac_n to_o the_o horizon_n for_o while_o she_o be_v in_o the_o ascend_a half_a of_o the_o zodiac_n which_o be_v from_o the_o begin_n of_o capricorn_n to_o the_o end_n of_o gemini_fw-la which_o be_v the_o half_a of_o long_a descension_n she_o appear_v soon_o above_o the_o horizon_n than_o when_o she_o be_v in_o the_o other_o half_n of_o short_a descension_n which_o be_v from_o cancer_n to_o capricorn_n because_o the_o moon_n go_v down_o late_a and_o not_o before_o that_o the_o sun_n be_v deep_o hide_v under_o the_o horizon_n make_v thereby_o a_o great_a twilight_n the_o second_o cause_n be_v the_o latitude_n of_o the_o moon_n from_o the_o ecliptic_a for_o the_o more_o north_n latitude_n she_o have_v the_o more_o slow_o she_o go_v down_o and_o thereby_o be_v the_o soon_o see_v and_o special_o to_o those_o that_o dwell_v betwixt_o the_o tropic_n of_o cancer_n and_o the_o circle_n arctic_a the_o three_o cause_n be_v the_o swiftness_n of_o her_o true_a move_n for_o in_o her_o swift_a move_n she_o be_v soon_o see_v than_o in_o her_o slow_a move_n and_o when_o all_o those_o three_o cause_n do_v concur_v it_o be_v possible_a that_o she_o may_v be_v see_v the_o selfsame_o day_n that_o the_o change_n be_v albeit_o that_o seldom_o chance_v and_o that_o only_a in_o those_o place_n who_o latitude_n be_v very_o far_o northern_a but_o if_o two_o of_o the_o foresay_a cause_n do_v concur_v than_o she_o may_v be_v see_v the_o next_o day_n after_o her_o conjunction_n with_o the_o sun_n if_o there_o be_v no_o
same_o be_v show_v in_o the_o 33_o precept_n 7._o the_o orbe_fw-la excentrique_fw-la be_v a_o orb_n of_o one_o equal_a thickness_n compass_v the_o centre_n of_o the_o world_n in_o which_o excentrique_fw-la the_o epicicle_n be_v always_o carry_v and_o make_v his_o revolution_n in_o 29_o egyptian_a year_n 183_o day_n and_o almost_o 5_o hour_n the_o diurnal_a motion_n thereof_o be_v i2·_fw-la ii0·_fw-la iii21·_fw-la iiii16·_fw-la almost_o 8._o the_o centre_n of_o the_o excentrique_fw-la mark_v with_o b_o be_v a_o point_n in_o the_o middle_n of_o the_o excentrique_fw-la from_o which_o all_o right_a line_n that_o be_v draw_v unto_o the_o concavitie_n of_o the_o excentrique_fw-la be_v equal_a 9_o the_o distance_n betwixt_o which_o centre_n and_o the_o centre_n of_o the_o world_n be_v call_v the_o excentricity_n of_o the_o excentrique_fw-la and_o the_o distance_n betwixt_o the_o two_o say_a centre_n that_o be_v of_o the_o world_n and_o of_o the_o excentrique_fw-la be_v 3_o degree_n i25·_n 10._o the_o circle_n equant_fw-la be_v a_o circle_n describe_v upon_o the_o point_n c_o in_o the_o plane_n of_o the_o excentrique_fw-la in_o regard_n of_o the_o centre_n whereof_o the_o motion_n as_o well_o of_o the_o excentrique_fw-la as_o of_o the_o epicicle_n be_v regular_a and_o equal_a and_o this_o circle_n be_v sometime_o call_v the_o circle_n of_o equality_n sometime_o the_o equator_fw-la and_o other_o time_n the_o excentricall_a equator_fw-la the_o distance_n of_o the_o centre_n whereof_o be_v from_o the_o centre_n of_o the_o excentrique_fw-la 3_o degree_n i25·_n and_o from_o the_o centre_n of_o the_o world_n 6_o degree_n i50·_n and_o this_o distance_n from_o the_o centre_n of_o the_o world_n be_v call_v the_o excentricity_n of_o the_o circle_n equant_fw-la 11._o the_o epicicle_n be_v a_o little_a orb_n who_o centre_n be_v mark_v with_o the_o letter_n e_o which_o the_o excentrique_fw-la carry_v about_o which_o epicicle_n notwithstanding_o have_v his_o proper_a motion_n for_o the_o high_a part_n thereof_o have_v his_o move_a according_a to_o the_o succession_n of_o the_o sign_n and_o the_o low_a part_n contrary_a to_o the_o succession_n of_o the_o sign_n the_o daily_a motion_n of_o the_o epicycle_n about_o his_o own_o centre_n be_v i57·_fw-la ii7·_fw-la iii44·_fw-la and_o make_v one_o entâ—e_fw-fr revolution_n in_o 378_o day_n 21_o hour_n i36·_fw-la 12._o but_o because_o that_o the_o account_v of_o the_o motion_n by_o the_o circle_n equant_fw-la be_v troublesome_a therefore_o the_o astronomer_n do_v use_v to_o reckon_v the_o fame_n upon_o the_o ecliptic_a by_o impose_v a_o line_n to_o be_v draw_v from_o the_o centre_n of_o the_o world_n unto_o the_o ecliptic_a in_o such_o sort_n as_o the_o same_o may_v be_v parallel_n unto_o the_o line_n before_o draw_v as_o in_o the_o foresay_a figure_n the_o line_n a_o g_z be_v parallel_n unto_o the_o line_n c_o e_o be_v call_v the_o line_n oâ—_n the_o mean_a move_n of_o the_o epicicle_n or_o of_o the_o planet_n 13._o the_o mean_a anomalia_fw-la of_o the_o excentrique_fw-la be_v a_o arch_n of_o the_o ecliptic_a begin_v at_o the_o line_n of_o the_o auge_n and_o so_o proceed_v according_a to_o the_o succession_n of_o the_o sign_n until_o at_o end_n at_o the_o line_n of_o the_o mean_a move_n as_o in_o the_o foresay_a figure_n the_o line_n a_o f_o be_v the_o line_n of_o the_o auge_n and_o a_o g_o be_v the_o line_n of_o the_o mean_a move_n now_o the_o arch_n of_o the_o ecliptic_a which_o be_v comprehend_v betwixt_o the_o two_o line_n a_o f_o and_o a_o g_o that_o be_v to_o say_v the_o arch_n f_o g_z be_v call_v the_o mean_a anomalia_fw-la of_o the_o excentrique_fw-la and_o of_o some_o it_o be_v call_v the_o mean_a or_o equal_a centre_n 14._o but_o if_o the_o say_a arch_n be_v reckon_v from_o the_o first_o star_n of_o the_o ram_n horn_n unto_o the_o line_n of_o the_o mean_a move_n mark_v with_o a_o g_o than_o the_o say_a arch_n be_v call_v the_o equal_a motion_n of_o longitude_n which_o you_o may_v find_v by_o the_o table_n at_o any_o time_n suppose_v by_o the_o 13_o and_o 14_o cannon_n in_o the_o column_n who_o title_n be_v longitudinis_fw-la saturni_n in_o such_o order_n as_o be_v show_v in_o the_o eight_o precept_n the_o equal_a or_o mean_a move_n of_o the_o longitude_n of_o saturn_n be_v daily_o i2·_fw-la ii0·_fw-la iii27·_fw-la iiii18·_fw-la and_o the_o yearly_a motion_n thereof_o be_v 12_o degree_n i12·_fw-la ii46·_fw-la iii4·_fw-la and_o the_o whole_a revolution_n be_v in_o 29_o egyptian_a year_n 174_o day_n 4_o hour_n i58·_fw-la ii24·_fw-la for_o in_o that_o time_n it_o return_v to_o the_o first_o star_n of_o the_o ram_n horn_n 15._o the_o line_n of_o the_o true_a move_n of_o the_o epicicle_n be_v a_o right_a line_n draw_v from_o the_o centre_n of_o the_o world_n pass_v through_o the_o centre_n of_o the_o epicicle_n unto_o the_o ecliptic_a as_o in_o the_o foresay_a figure_n the_o right_a line_n a_o e_o l_o be_v call_v the_o line_n of_o the_o true_a motion_n of_o the_o epicicle_n 16._o the_o true_a or_o coequated_a anomalia_fw-la of_o the_o excentrique_fw-la which_o be_v call_v by_o the_o alphonsine_n the_o true_a centre_n be_v a_o arch_n of_o the_o ecliptic_a begin_v at_o the_o place_n of_o the_o auge_n of_o the_o excentrique_fw-la and_o end_v at_o the_o true_a place_n of_o the_o centre_n of_o the_o epicicle_n as_o in_o the_o foresay_a figure_n the_o arch_n f_o l_o be_v the_o true_a anomalia_fw-la of_o the_o excentrique_fw-la 17._o the_o true_a motion_n of_o the_o longitude_n of_o the_o epicicle_n be_v a_o arch_n of_o the_o ecliptic_a begin_v at_o the_o first_o star_n of_o the_o ram_n horn_n and_o end_v at_o the_o true_a place_n of_o the_o centre_n of_o the_o epicicle_n as_o in_o the_o foresay_a figure_n the_o arch_n from_o the_o ram_n horn_n mark_v with_o a_o little_a star_n in_o the_o ecliptic_a of_o the_o eight_o sphere_n to_o l_o be_v call_v the_o true_a move_n of_o the_o longitude_n of_o the_o epicicle_n 18._o the_o prosthapheresis_fw-la or_o equation_n of_o the_o centre_n be_v the_o difference_n betwixt_o the_o mean_a anomalia_fw-la and_o the_o coequated_a anomalia_fw-la of_o the_o excentrique_fw-la or_o the_o difference_n betwixt_o the_o equal_a move_n and_o the_o true_a move_n of_o longitude_n as_o the_o arch_n l_o g_o be_v call_v the_o equation_n of_o the_o centre_n and_o this_o equation_n be_v never_o great_a than_o 6_o degree_n i30·_fw-la ii30·_fw-la and_o be_v always_o great_a when_o the_o equal_a move_n of_o the_o centre_n of_o the_o epicicle_n from_o the_o auge_n of_o the_o excentrique_fw-la be_v 11_o sex_n 33_o degree_n whether_o the_o same_o be_v reckon_v according_a to_o the_o succession_n of_o the_o sign_n or_o contrary_a to_o the_o succession_n of_o the_o sign_n and_o from_o thence_o it_o decrease_v until_o the_o line_n of_o the_o say_v mean_a move_n come_v into_o the_o line_n of_o the_o opposite_a auge_n the_o find_n of_o which_o equation_n be_v teach_v in_o the_o 34_o precept_n by_o help_n of_o the_o 19_o cannon_n in_o the_o column_n who_o title_n be_v eccentrici_n and_o be_v to_o be_v add_v or_o subtract_v according_a as_o the_o word_n subtrahe_fw-la and_o add_v at_o the_o head_n or_o foot_n of_o the_o say_a column_n do_v show_v 19_o the_o two_o point_n in_o which_o the_o prosthapheresis_fw-la of_o the_o excentrique_fw-la be_v great_a be_v call_v the_o mean_a longitude_n of_o the_o excentrique_fw-la and_o these_o two_o point_n be_v show_v by_o a_o right_a line_n perpendicular_o draw_v upon_o the_o line_n of_o auge_n and_o pass_v through_o the_o middle_a space_n of_o the_o distance_n betwixt_o the_o centre_n of_o the_o world_n and_o the_o centre_n of_o the_o excentrique_fw-la as_o in_o the_o former_a figure_n in_o which_o the_o point_n a_o signify_v the_o centre_n of_o the_o world_n and_o the_o point_n b_o the_o centre_n of_o the_o excentrique_fw-la now_o if_o the_o space_n b_o at_fw-fr be_v divide_v into_o two_o equal_a part_n as_o in_o the_o point_n qui_fw-fr and_o through_o the_o same_o point_n q_o a_o right_a line_n be_v draw_v cross_v the_o line_n a_o f_o with_o right_a angle_n and_o be_v produce_v as_o well_o towards_o the_o right_a hand_n as_o towards_o the_o left_a unto_o the_o two_o point_n of_o the_o circumference_n of_o the_o excentrique_fw-la mark_v with_o the_o two_o letter_n t_n and_o v_n the_o say_v two_o point_n t_n and_o v_n be_v call_v the_o mean_a longitude_n of_o the_o excentrique_fw-la in_o which_o mean_a longitude_n the_o centre_n of_o the_o epicicle_n be_v when_o the_o equal_a motion_n of_o saturn_n longitude_n be_v 93_o degree_n or_o 267_o degree_n 20._o the_o mean_a auge_n of_o the_o epicicle_n be_v a_o point_n in_o the_o circumference_n of_o the_o epicicle_n which_o be_v further_a distant_a from_o the_o centre_n of_o the_o circle_n equant_fw-la and_o this_o point_n be_v find_v by_o draw_v a_o
from_o the_o true_a equinoctial_a point_n mark_v in_o the_o say_v ecliptic_a of_o the_o first_o movable_a with_o the_o letter_n d._n the_o deferent_n of_o the_o excentrique_fw-la do_v move_v regular_o about_o the_o centre_n of_o the_o little_a circle_n contrary_a to_o the_o succession_n of_o the_o sign_n as_o the_o orb_n of_o the_o anomalia_fw-la of_o the_o auge_n of_o the_o sun_n do_v move_v namely_o upon_o their_o proper_a pole_n and_o axletree_n and_o do_v make_v their_o revolution_n in_o 365_o day_n 6_o hour_n i33·_fw-la ii8·_fw-la and_o their_o daily_a motion_n be_v i59·_v ii8·_a iiiâ—°_n iiii52·_fw-la and_o the_o centre_n of_o the_o little_a circle_n be_v distant_a from_o the_o centre_n of_o the_o world_n 6_o degree_n and_o from_o the_o centre_n of_o the_o equant_fw-la 3_o degree_n such_o degree_n i_o mean_v as_o the_o semidiameter_n of_o the_o equant_fw-la contain_v 60_o degree_n by_o mean_n of_o which_o motion_n the_o excentricity_n of_o the_o planet_n change_v every_o day_n and_o be_v great_a when_o the_o centre_n of_o the_o excentrique_fw-la be_v in_o the_o auge_n of_o the_o little_a circle_n and_o the_o say_a excentricity_n be_v least_o when_o the_o centre_n of_o the_o say_v excentrique_fw-la be_v in_o the_o opposite_a auge_n of_o the_o say_v little_a circle_n and_o the_o say_a excentricity_n be_v mean_a when_o the_o centre_n of_o the_o centre_n of_o the_o excentrique_fw-la be_v in_o the_o middle_a point_n betwixt_o the_o auge_n and_o opposite_a auge_n of_o the_o say_v little_a circle_n all_o which_o thing_n be_v show_v in_o the_o 7_o 8_o and_o 9_o definition_n of_o the_o 8_o chapter_n the_o excentrique_fw-la have_v his_o proper_a motion_n upon_o his_o own_o pole_n which_o be_v also_o moovable_a and_o the_o motion_n thereof_o be_v according_a to_o the_o succession_n of_o the_o sign_n which_o motion_n although_o it_o be_v irregular_a and_o unequal_a in_o respect_n of_o the_o centre_n of_o the_o world_n yet_o be_v the_o same_o regular_a and_o equal_a in_o respect_n of_o the_o centre_n of_o the_o circle_n equant_fw-la and_o the_o daily_a motion_n be_v i59·_fw-la ii8·_fw-la iii1·_fw-la iiii52·_fw-la and_o make_v one_o entire_a revolution_n in_o 365_o day_n 6_o hour_n i33·_fw-la ii8·_fw-la and_o this_o motion_n be_v find_v by_o subtract_v the_o daily_a motion_n of_o the_o deferent_n of_o the_o auge_n of_o the_o equant_fw-la which_o be_v iii9·_v iiii31·_n out_o of_o the_o daily_a motion_n of_o the_o longitude_n of_o mercury_n which_o be_v i59·_fw-la ii8·_fw-la iii11·_fw-la iiii22·_fw-la for_o so_o the_o remainder_n will_v be_v i59·_fw-la ii8·_fw-la iii1·_fw-la iiii52·_fw-la which_o sum_n be_v the_o daily_a motion_n of_o the_o excentrique_fw-la count_v from_o the_o line_n of_o the_o auge_n of_o the_o equant_fw-la and_o you_o have_v to_o note_v that_o the_o motion_n of_o the_o longitude_n of_o mercury_n be_v equal_a unto_o the_o simple_a equal_a move_a of_o the_o sun_n so_o as_o when_o you_o be_v to_o find_v out_o the_o equal_a longitude_n of_o mercury_n you_o have_v to_o seek_v in_o the_o prutenical_a table_n the_o equal_a simple_a move_a of_o the_o sun_n for_o the_o time_n give_v and_o as_o for_o the_o move_n of_o the_o anomalia_fw-la of_o the_o excentrique_fw-la you_o be_v teach_v how_o to_o find_v the_o same_o at_o any_o time_n by_o the_o 8_o precept_n by_o help_n of_o the_o 13_o and_o 14_o cannon_n in_o the_o collum_n who_o title_n be_v apogei_fw-la mercurij_fw-la as_o for_o the_o true_a auge_n of_o the_o excentrique_fw-la the_o same_o be_v find_v as_o be_v show_v in_o the_o 15_o definition_n of_o the_o 8_o chap._n the_o epicicle_n of_o mercury_n have_v his_o proper_a motion_n upon_o his_o movable_a axletree_n and_o the_o daily_a motion_n thereof_o be_v 3_o degree_n i6·_fw-la ii24·_fw-la iii14·_fw-la iiii5·_fw-la u36·_fw-la and_o make_v one_o entire_a revolution_n in_o 115_o day_n 21_o hour_n i3·_fw-la ii26·_fw-la iii54·_fw-la and_o the_o semidiameter_n of_o the_o epicicle_n be_v 22_o degree_n i30·_v such_o degree_n 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in_o the_o opposite_a auge_n of_o the_o excentrique_fw-la then_o be_v the_o great_a equation_n of_o his_o argument_n 23_o degree_n iâ—1·_fw-la ii35·_fw-la now_o as_o for_o the_o point_n line_n and_o arch_n belong_v to_o the_o calculate_v of_o the_o motion_n of_o mercury_n because_o they_o do_v not_o differ_v from_o those_o which_o we_o have_v show_v in_o the_o 5_o chapter_n i_o therefore_o refer_v you_o to_o that_o chapter_n and_o as_o for_o the_o particular_a equation_n you_o shall_v find_v they_o set_v down_o in_o the_o 23_o cannon_n of_o the_o prutenicall_a table_n chap._n xi_o of_o the_o first_o heaven_n or_o heaven_n of_o the_o moon_n the_o last_o or_o low_a heaven_n be_v the_o heaven_n of_o the_o moon_n and_o it_o consist_v of_o four_o orb_n whereof_o the_o first_o be_v call_v the_o orb_n or_o circle_n of_o nodes_fw-la or_o the_o deferent_a of_o the_o head_n and_o tail_n of_o the_o dragon_n the_o next_o orb_n be_v call_v the_o deferent_a of_o the_o epicicle_n the_o three_o orb_n be_v call_v the_o first_o epicicle_n and_o the_o four_o be_v the_o second_o epicicle_n all_o which_o orb_n be_v set_v down_o in_o this_o figure_n follow_v ¶_o the_o first_o figure_n belong_v to_o the_o theoric_n of_o the_o moon_n you_o shall_v find_v the_o two_o epicicle_n of_o the_o moon_n more_o plain_o set_v down_o in_o the_o three_o figure_n here_o follow_v in_o the_o former_a figure_n the_o two_o outermost_a circle_n do_v signify_v the_o two_o ecliptic_o as_o in_o the_o heaven_n of_o mercury_n next_o unto_o they_o be_v another_o white_a circle_n in_o which_o be_v set_v the_o character_n of_o the_o head_n and_o tail_n of_o the_o dragon_n signify_v the_o deferent_a of_o the_o nodes_fw-la and_o in_o the_o middle_n thereof_o be_v the_o circumference_n of_o a_o circle_n in_o which_o the_o two_o nodes_fw-la do_v continual_o move_v next_o unto_o that_o be_v a_o great_a broad_a and_o black_a orb_n signify_v the_o deferent_a of_o the_o epicicle_n in_o which_o orb_n be_v a_o shadow_a 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describe_v the_o middle_a circle_n of_o the_o say_a orb_n this_o orb_n be_v concentricall_a that_o be_v have_v oneself_o centre_n with_o the_o zodiac_n and_o the_o motion_n of_o this_o orb_n be_v regular_a and_o equal_a in_o respect_n of_o the_o centre_n of_o the_o earth_n upon_o the_o axletree_n and_o pole_n of_o the_o zodiac_n contrary_a to_o the_o succession_n of_o the_o sign_n and_o the_o daily_a motion_n thereof_o be_v i3·_fw-la ii10·_fw-la iii47·_fw-la and_o in_o one_o year_n move_v 19_o degree_n i10·_a ii3â—°_n iii44·_fw-la and_o so_o make_v one_o entire_a revolution_n in_o 18_o egyptian_a year_n 223_o day_n 6_o hour_n i12·_n and_o by_o the_o violence_n or_o strength_n of_o his_o motion_n he_o carry_v the_o other_o orb_n round_o about_o with_o he_o 2._o the_o deferent_a of_o the_o epicicle_n be_v the_o foresay_a black_a orb_n in_o the_o theoric_n of_o
the_o moon_n in_o which_o the_o epicicle_n of_o the_o moon_n be_v carry_v continual_o about_o and_o this_o black_a orb_n have_v his_o own_o proper_a motion_n which_o be_v according_a to_o the_o succession_n of_o the_o sign_n and_o be_v regular_a in_o respect_n of_o the_o centre_n of_o the_o world_n mark_v with_o the_o letter_n a_o and_o move_v upon_o his_o own_o axletree_n which_o cut_v the_o axletree_n of_o the_o ecliptic_a in_o the_o point_n a_o the_o centre_n of_o the_o world_n and_o the_o pole_n thereof_o be_v always_o no_o more_o but_o five_o degree_n from_o the_o ecliptic_a whereby_o it_o happen_v that_o the_o plane_n of_o this_o orb_n cut_v the_o plane_n of_o the_o ecliptic_a in_o two_o point_n which_o be_v call_v the_o nodes_fw-la or_o the_o head_n and_o tail_n of_o the_o dragon_n for_o the_o understanding_n whereof_o i_o have_v set_v down_o this_o other_o figure_n next_o follow_v ¶_o the_o second_o figure_n belong_v to_o the_o theoric_n of_o the_o moon_n in_o which_o figure_n the_o circle_n f_o c_o e_o k_o signify_v the_o plane_n of_o the_o ecliptic_a and_o the_o centre_n thereof_o be_v mark_v with_o the_o point_n a_o and_o the_o circle_n f_o b_o e_o i_o signify_v the_o plane_n of_o the_o deferent_a of_o the_o epicicle_n in_o the_o circumference_n whereof_o be_v the_o centre_n of_o the_o first_o epicicle_n mark_v with_o the_o letter_n l_o and_o in_o the_o circumference_n thereof_o be_v the_o centre_n of_o the_o second_o epicicle_n mark_v with_o the_o letter_n m_o and_o in_o the_o circumference_n thereof_o be_v the_o character_n of_o the_o moon_n and_o the_o centre_n of_o the_o deferent_a of_o the_o epicicle_n be_v the_o same_o which_o the_o ecliptic_a have_v that_o be_v to_o say_v the_o centre_n a_o and_o this_o circle_n cross_v the_o ecliptic_a in_o two_o opposite_a point_n that_o be_v to_o say_v in_o the_o point_n f_o and_o e_o called_z the_o nodes_fw-la the_o one_o of_o which_o be_v call_v the_o head_n of_o the_o dragon_n mark_v with_o this_o character_n 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d and_o the_o other_o be_v call_v the_o tail_n of_o the_o dragon_n mark_v with_o this_o character_n 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d unto_o either_o of_o which_o two_o nodes_fw-la when_o the_o moon_n come_v than_o she_o be_v in_o the_o ecliptic_a and_o in_o her_o move_n from_o either_o of_o the_o say_v two_o nodes_fw-la she_o go_v further_a and_o further_o from_o the_o ecliptic_a until_o she_o come_v to_o one_o of_o the_o 2_o limit_n of_o her_o latitude_n either_o north_n or_o south_n 3._o whereof_o her_o north_n limit_n be_v mark_v in_o this_o figure_n with_o the_o letter_n b_o and_o her_o south_n limit_n with_o the_o letter_n l_o either_o of_o which_o limit_n be_v never_o more_o distant_a from_o the_o ecliptic_a than_o five_o degree_n but_o from_o the_o nodes_fw-la each_o limit_n be_v distant_a 90_o degree_n 4._o and_o hereby_o you_o may_v gather_v that_o the_o two_o nodes_fw-la be_v nothing_o else_o but_o two_o point_n in_o which_o the_o plane_n of_o the_o deferent_a of_o the_o epicicle_n do_v cross_v the_o plane_n of_o the_o ecliptic_a and_o the_o one_o of_o these_o nodes_fw-la be_v call_v the_o ascend_a node_n or_o head_n of_o the_o dragon_n and_o the_o other_o be_v call_v the_o descend_a node_n or_o the_o tail_n of_o the_o dragon_n 5._o the_o head_n of_o the_o dragon_n be_v that_o node_n unto_o which_o when_o the_o moon_n come_v she_o begin_v to_o go_v northward_o from_o the_o ecliptic_a and_o that_o node_n be_v mark_v with_o this_o character_n 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 6._o the_o tail_n of_o the_o dragon_n be_v that_o node_n unto_o which_o when_o the_o moon_n come_v she_o begin_v to_o go_v southward_o from_o the_o ecliptic_a which_o node_n be_v mark_v with_o this_o character_n 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 7._o the_o line_n of_o the_o mean_a or_o true_a move_n of_o the_o nodes_fw-la be_v a_o line_n draw_v from_o the_o centre_n of_o the_o world_n unto_o any_o of_o the_o say_v nodes_fw-la as_o in_o the_o former_a figure_n the_o line_n a_o f_o signify_v the_o line_n of_o the_o move_n of_o the_o head_n of_o the_o dragon_n and_o the_o line_n a_o e_o signify_v the_o line_n of_o the_o move_n of_o the_o tail_n of_o the_o dragon_n 8._o the_o mean_a move_n of_o the_o nodes_fw-la be_v a_o arch_n of_o the_o ecliptic_a begin_v at_o the_o first_o star_n of_o the_o ram_n home_n or_o at_o the_o first_o true_a vernal_a equinox_n and_o end_v at_o the_o line_n of_o the_o move_n of_o the_o node_n so_o as_o the_o say_a arch_n be_v reckon_v contrary_a to_o the_o succession_n of_o the_o sign_n 9_o the_o true_a move_n of_o the_o nodes_fw-la be_v a_o arch_n of_o the_o ecliptic_a begin_v at_o the_o first_o star_n of_o the_o ram_n horn_n if_o the_o same_o be_v reckon_v in_o the_o ecliptic_a of_o the_o eight_o heaven_n or_o at_o the_o true_a vernal_a equinox_n if_o the_o same_o be_v reckon_v in_o the_o ecliptic_a of_o the_o first_o movable_a and_o end_v at_o the_o line_n of_o the_o move_n of_o the_o node_n so_o as_o the_o say_a arch_n be_v number_v according_a to_o the_o succession_n of_o the_o sign_n 10._o the_o line_n of_o the_o mean_a move_n of_o the_o moon_n be_v a_o 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 first_o epicicle_n and_o so_o forth_o unto_o the_o ecliptic_a as_o for_o example_n in_o the_o first_o figure_n the_o right_a line_n a_o e_o b_o be_v the_o line_n of_o the_o mean_a move_n of_o the_o moon_n 11._o the_o place_n of_o the_o centre_n of_o the_o first_o epicicle_n in_o the_o ecliptic_a be_v that_o point_n in_o which_o the_o line_n of_o the_o mean_a move_n of_o the_o moon_n fall_v in_o the_o ecliptic_a as_o in_o the_o say_v first_o figure_n the_o point_n b_o in_o the_o ecliptic_a be_v the_o place_n of_o the_o centre_n of_o the_o first_o epicicle_n 12._o the_o mean_a simple_a move_n of_o the_o moon_n longitude_n be_v a_o arch_n of_o the_o ecliptic_a begin_v at_o the_o first_o star_n of_o the_o ram_n horn_n and_o end_v at_o the_o place_n of_o the_o centre_n of_o the_o first_o epicicle_n as_o in_o the_o say_v first_o figure_n the_o arch_a *_o h_o k_o be_v call_v the_o mean_a equal_a or_o simple_a move_n of_o the_o moon_n longitude_n and_o the_o daily_a move_n of_o this_o simple_a longitude_n be_v 13_o degree_n i10·_fw-la ii34·_fw-la iii53·_fw-la and_o according_a unto_o this_o motion_n the_o moon_n make_v her_o revolution_n in_o 27_o day_n 7_o hour_n i43·_fw-la ii7·_fw-la for_o in_o this_o time_n she_o return_v unto_o the_o first_o star_n of_o the_o ram_n horn_n and_o this_o be_v call_v the_o periodicall_a month_n as_o in_o the_o first_o figure_n the_o arch_a *_o h_o k_o be_v the_o equal_a simple_a move_a of_o the_o longitude_n of_o the_o moon_n 13._o but_o if_o the_o say_a motion_n do_v begin_v at_o the_o mean_a place_n of_o the_o sun_n that_o be_v at_o the_o line_n of_o the_o mean_a move_n of_o the_o sun_n then_o be_v it_o call_v the_o equal_a or_o mean_a longitude_n of_o the_o moon_n from_o the_o sun_n and_o then_o the_o daily_a motion_n be_v 12_o degree_n i11·_fw-la ii26·_fw-la iii41·_fw-la and_o according_a unto_o this_o the_o moon_n make_v her_o revolution_n in_o 29_o day_n 12_o hour_n i44·_fw-la ii3·_fw-la and_o the_o time_n of_o this_o revolution_n be_v call_v the_o synodical_a month_n so_o as_o if_o you_o subtract_v the_o equal_a simple_a move_n of_o the_o sun_n out_o of_o the_o equal_a simple_a move_n of_o the_o moon_n longitude_n the_o remainder_n will_v show_v the_o mean_a longitude_n of_o the_o moon_n from_o the_o sun_n as_o in_o the_o say_v first_o figure_n suppose_v the_o arch_a *_o h_o to_o be_v the_o equal_a simple_a move_a of_o the_o sun_n and_o the_o arch_a *_o h_o k_o to_o be_v the_o equal_a simple_a move_n of_o the_o moon_n longitude_n now_o if_o you_o subtract_v *_o h_o out_o of_o *_o h_o k_o the_o remainder_n will_v be_v h_o k_n and_o that_o be_v the_o mean_a longitude_n of_o the_o moon_n from_o the_o sun_n and_o the_o find_n of_o this_o at_o any_o time_n give_v be_v teach_v in_o the_o 8_o precept_n by_o help_n of_o the_o 13_o and_o 14_o cannon_n in_o the_o collume_n who_o title_n be_v longitudo_fw-la media_fw-la à _fw-la sole_fw-la 14._o and_o again_o sometime_o the_o mean_a move_n of_o the_o centre_n of_o the_o first_o epicicle_n or_o of_o the_o moon_n be_v account_v to_o begin_v at_o the_o north_n limit_n and_o then_o be_v it_o call_v by_o ptolomey_n and_o copernicus_n the_o mean_a motion_n of_o the_o latitude_n of_o the_o moon_n because_o that_o after_o the_o same_o be_v correct_v it_o show_v the_o true_a latitude_n of_o the_o moon_n &_o the_o find_n of_o this_o motion_n
at_o any_o time_n be_v to_o be_v find_v in_o such_o order_n as_o be_v show_v in_o the_o 8_o precept_n by_o help_n of_o the_o 13_o and_o 14_o cannon_n in_o the_o column_n who_o title_n be_v latitudinis_fw-la lunae_fw-la 15._o but_o alphonsus_n and_o his_o follower_n make_v the_o beginning_n of_o the_o say_a motion_n to_o be_v at_o the_o head_n of_o the_o dragon_n and_o be_v call_v by_o they_o the_o argument_n of_o the_o latitude_n of_o the_o moon_n and_o the_o daily_a motion_n of_o the_o moon_n latitude_n be_v 13_o degree_n i1â—°_n ii45·_fw-la iiiâ—9·_fw-la and_o according_a unto_o this_o motion_n she_o make_v her_o revolution_n in_o 27_o day_n 5_o hour_n i5·_fw-la ii36·_fw-la and_o the_o argument_n of_o the_o moon_n latitude_n be_v to_o be_v sound_a at_o any_o time_n give_v by_o add_v of_o 90_o degree_n unto_o the_o mean_a motion_n of_o her_o latitude_n the_o manner_n of_o the_o find_v whereof_o be_v show_v in_o the_o 14_o definition_n of_o this_o chapter_n 16._o and_o you_o have_v to_o note_v that_o according_a to_o the_o motion_n of_o the_o deferent_a of_o the_o epicicle_n the_o centre_n of_o the_o epicicle_n be_v imagine_v to_o describe_v a_o circle_n in_o the_o middle_n of_o the_o say_v deferent_a which_o circle_n be_v call_v the_o circle_n of_o the_o move_n of_o the_o centre_n and_o this_o circle_n be_v signify_v in_o the_o first_o figure_n by_o the_o white_a circle_n in_o the_o middle_n of_o the_o black_a deferent_a of_o the_o epicicle_n describe_v by_o the_o centre_n of_o the_o first_o epicicle_n 17._o the_o first_o epicicle_n be_v a_o orb_n in_o the_o theoric_n of_o the_o moon_n which_o continual_o carry_v about_o the_o second_o epicicle_n of_o the_o moon_n this_o orb_n have_v his_o own_o proper_a motion_n about_o his_o own_o pole_n and_o axletree_n which_o axletree_n be_v perpendicular_a unto_o the_o plane_n of_o the_o deferent_a of_o the_o epicicle_n and_o be_v parallel_v unto_o the_o say_a axletree_n of_o the_o say_v deferent_a whereby_o it_o come_v to_o pass_v that_o the_o plane_n of_o this_o first_o epicicle_n be_v always_o in_o the_o plane_n of_o his_o deferent_a and_o the_o motion_n of_o this_o epicicle_n be_v contrary_a to_o the_o succession_n of_o the_o sign_n and_o the_o daily_a motion_n thereof_o be_v 13_o degree_n i3·_fw-la ii53·_fw-la iii56·_fw-la and_o make_v one_o entire_a revolution_n in_o 27_o day_n and_o 13_o hour_n almost_o and_o the_o semidiameter_n of_o this_o epicicle_n be_v 6_o degree_n i35·_n whereof_o the_o semidiameter_n of_o the_o move_n of_o his_o centre_n contain_v 60._o 18._o the_o auge_n of_o the_o first_o epicicle_n be_v a_o point_n in_o the_o superficies_n thereof_o which_o be_v further_a distant_a from_o the_o centre_n of_o the_o earth_n and_o the_o opposite_a auge_n be_v that_o point_n which_o be_v near_a unto_o the_o centre_n of_o the_o earth_n and_o the_o auge_n and_o opposite_a auge_n be_v determine_v by_o a_o right_a line_n draw_v from_o the_o centre_n of_o the_o earth_n unto_o the_o circumference_n of_o the_o say_v first_o epicicle_n through_o the_o centre_n of_o the_o same_o as_o in_o the_o first_o figure_n the_o point_n b_o be_v the_o auge_n of_o the_o first_o epicicle_n and_o the_o point_n c_o the_o opposite_a auge_n thereof_o 19_o the_o mean_a anomalia_fw-la of_o the_o epicicle_n which_o be_v otherwise_o call_v the_o mean_a argument_n be_v a_o arch_n of_o the_o first_o epicicle_n contain_v the_o distance_n betwixt_o the_o centre_n of_o the_o second_o epicicle_n and_o the_o auge_n of_o the_o first_o epicicle_n and_o this_o be_v determine_v by_o a_o right_a line_n draw_v from_o the_o centre_n of_o the_o first_o epicicle_n unto_o the_o centre_n of_o the_o second_o epicicle_n as_o this_o figure_n next_o follow_v show_v ¶_o the_o three_o figure_n belong_v to_o the_o theoric_n of_o the_o moon_n in_o which_o figure_n the_o outermost_a circle_n represent_v the_o ecliptic_a and_o the_o lesser_a circle_n within_o that_o be_v a_o circle_n which_o the_o centre_n of_o the_o first_o epicicle_n be_v imagine_v to_o describe_v the_o semidiameter_n whereof_o be_v the_o line_n a_o e_o and_o the_o point_n e_o signify_v the_o centre_n of_o the_o first_o epicicle_n who_o semidiameter_n be_v the_o line_n e_o b_o and_o the_o point_n b_o be_v the_o auge_n and_o the_o point_n c_o the_o opposite_a auge_n thereof_o the_o point_n f_o signify_v the_o centre_n of_o the_o second_o epicicle_n and_o the_o arch_n b_o f_o be_v the_o mean_a anomalia_fw-la of_o the_o moon_n and_o this_o be_v call_v anomalia_fw-la motus_fw-la in_o the_o prutenicall_a table_n the_o find_v whereof_o be_v teach_v in_o the_o 8_o precept_n by_o help_n of_o the_o 13_o and_o 14_o cannon_n in_o the_o column_n who_o title_n be_v anomalia_fw-la lunae_fw-la 20._o the_o first_o epicicle_n be_v imagine_v to_o be_v divide_v into_o two_o part_n whereof_o the_o one_o part_n be_v call_v the_o high_a or_o upper_a part_n and_o the_o other_o be_v call_v the_o low_a part_n of_o the_o epicicle_n and_o these_o two_o part_n be_v show_v by_o two_o right_a line_n draw_v from_o the_o centre_n of_o the_o world_n mark_v with_o a_o so_o as_o they_o touch_v the_o say_v first_o epicicle_n on_o both_o side_n as_o in_o this_o present_a figure_n the_o two_o line_n a_o l_o and_o a_o m_o be_v draw_v from_o the_o centre_n a_o and_o do_v touch_v the_o first_o epicicle_n in_o the_o point_n l_o and_o m_o and_o that_o part_n of_o the_o epicicle_n which_o be_v above_o the_o point_n l_o and_o m_o mark_v with_o the_o letter_n l_o b_o f_o m_o be_v the_o high_a part_n but_o the_o other_o part_n viz._n l_o c_o m_o be_v the_o low_a part_n of_o the_o epicicle_n 21._o and_o the_o two_o point_n l_o and_o m_o be_v the_o touch-point_n of_o the_o first_o epicicle_n 22._o the_o second_o epicicle_n be_v a_o orb_n in_o the_o theoric_n of_o the_o moon_n in_o the_o circumference_n whereof_o the_o body_n of_o the_o moon_n be_v always_o carry_v about_o the_o plane_n of_o this_o epicicle_n be_v always_o in_o the_o plane_n of_o the_o first_o and_o the_o axletree_n thereof_o be_v perpendicular_a unto_o the_o plane_n of_o the_o first_o epicicle_n and_o therefore_o the_o axletree_n of_o the_o two_o epicicle_n and_o of_o the_o deferent_a of_o the_o first_o epicicle_n be_v parallel_n one_o to_o another_o and_o the_o move_n of_o this_o second_o epicicle_n be_v contrary_a unto_o the_o move_n of_o the_o first_o epicicle_n and_o the_o motion_n hereof_o begin_v at_o the_o auge_n of_o the_o second_o epicicle_n 23._o the_o auge_n of_o the_o second_o epicicle_n be_v that_o point_n in_o the_o circumference_n of_o the_o say_v second_o epicicle_n which_o be_v near_a unto_o the_o centre_n of_o the_o first_o epicicle_n and_o the_o opposite_a auge_n thereof_o be_v further_a from_o the_o centre_n of_o the_o say_a epicicle_n for_o these_o auge_n have_v respect_n to_o the_o centre_n of_o the_o first_o epicicle_n and_o not_o to_o the_o centre_n of_o the_o earth_n 24._o the_o anomalia_fw-la of_o the_o excentrique_fw-la which_o 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