Selected quad for the lemma: heaven_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
heaven_n	east_n	motion_n	west_n	1,864	5	9.5519	5	false

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A16236	The theoriques of the seuen planets shewing all their diuerse motions, and all other accidents, called passions, thereunto belonging. Now more plainly set forth in our mother tongue by M. Blundeuile, than euer they haue been heretofore in any other tongue whatsoeuer, and that with such pleasant demonstratiue figures, as euery man that hath any skill in arithmeticke, may easily vnderstand the same. ... VVhereunto is added by the said Master Blundeuile, a breefe extract by him made, of Maginus his Theoriques, for the better vnderstanding of the Prutenicall tables, to calculate thereby the diuerse motions of the seuen planets. There is also hereto added, The making, description, and vse, of two most ingenious and necessarie instruments for sea-men ... First inuented by M. Doctor Gilbert ... and now here plainely set downe in our mother tongue by Master Blundeuile.	Blundeville, Thomas, fl. 1561.; Magini, Giovanni Antonio, 1555-1617. aut; Gilbert, William, 1540-1603. Making, description and use of two most ingenious and necessarie instruments for seamen. aut; Wright, Edward, 1540-1603. aut	1602 (1602)	STC 3160; ESTC S117447	145,552	301

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

the_o ecliptic_a of_o the_o say_v ten_o heaven_n must_v needs_o alter_v be_v sometime_o far_o from_o the_o mean_a ecliptic_a and_o sometime_o near_o unto_o it_o and_o sometime_o unite_v therewith_o but_o the_o great_a distance_n that_o can_v be_v betwixt_o the_o two_o eclipticke_n be_v i12·_v according_a to_o the_o great_a distance_n which_o be_v betwixt_o the_o pole_n of_o the_o ecliptic_a &_o the_o pole_n of_o the_o first_o moovable_a for_o the_o pole_n of_o the_o ecliptic_a of_o the_o ten_o heaven_n can_v never_o exceed_v i12·_v and_o the_o ecliptic_a of_o this_o ten_o heaven_n be_v call_v the_o true_a ecliptic_a who_o pole_n do_v differ_v from_o the_o pole_n of_o the_o mean_a ecliptic_a i12·_n as_o have_v be_v say_v before_o 3._o and_o such_o distance_n be_v call_v the_o equation_n of_o the_o obliquity_n of_o the_o ecliptic_a which_o the_o former_a figure_n do_v plain_o demonstrate_v for_o the_o letter_n a_o be_v suppose_v to_o be_v the_o pole_n of_o the_o mean_a ecliptic_a and_o h_n the_o pole_n of_o the_o true_a ecliptic_a and_o this_o equation_n of_o the_o obliquity_n be_v to_o be_v find_v in_o the_o 16_o cannon_n of_o the_o prutenicall_a table_n by_o help_n of_o which_o equation_n or_o prosthapherisis_n you_o may_v find_v at_o any_o time_n the_o obliquity_n of_o the_o true_a ecliptic_a as_o be_v teach_v in_o the_o 13_o precept_n of_o the_o say_a table_n but_o now_o because_o the_o say_a prosthapherisis_n can_v be_v find_v but_o by_o the_o anomalia_fw-la of_o the_o obliquity_n you_o be_v to_o know_v first_o what_o that_o anomalia_fw-la be_v which_o the_o foresay_a figure_n do_v also_o show_v in_o which_o figure_n you_o must_v suppose_v the_o right_a line_n a_o e_o to_o be_v the_o diameter_n of_o the_o second_o lesser_o circle_n the_o one_o end_n whereof_o be_v always_o fix_v in_o the_o point_n a_o and_o the_o other_o end_n mark_v with_o e_o by_o the_o motion_n of_o the_o ten_o heaven_n describe_v the_o great_a circle_n c_o e_o g._n 4._o and_o this_o circle_n be_v call_v the_o circle_n of_o anomalia_fw-la of_o the_o obliquity_n of_o the_o true_a ecliptic_a 5._o and_o the_o arch_n or_o portion_n of_o this_o circle_n mark_v with_o the_o letter_n c_o e_o be_v the_o anomalia_fw-la of_o the_o obliquity_n of_o the_o true_a ecliptic_a the_o motion_n of_o which_o anomalia_fw-la you_o shall_v find_v at_o any_o time_n by_o the_o prutenicall_a table_n in_o the_o 14_o cannon_n under_o the_o title_n anomalia_fw-la aequinoctiorum_fw-la in_o such_o order_n as_o the_o eight_o precept_n teach_v chap._n iii_o of_o the_o nine_o heaven_n the_o nine_o heaven_n be_v a_o sphere_n situate_v next_o and_o immediate_o under_o the_o ten_o heaven_n the_o motion_n of_o which_o nine_o sphere_n be_v from_o north_n to_o south_n upon_o his_o proper_a pole_n which_o be_v fix_v in_o the_o two_o aequinoctial_a point_n call_v the_o true_a aequinoctial_a point_n of_o the_o ten_o heaven_n about_o which_o pole_n he_o make_v his_o revolution_n in_o 1717_o egyptian_a year_n and_o 5_o day_n in_o this_o sphere_n be_v imagine_v certain_a circle_n both_o great_a and_o lesser_a to_o be_v draw_v as_o in_o the_o former_a two_o heaven_n but_o the_o great_a circle_n whereof_o we_o shall_v have_v most_o use_v be_v these_o that_o be_v the_o ecliptic_a and_o the_o aequinoctial_a 2._o the_o ecliptic_a of_o this_o nine_o sphere_n be_v always_o in_o the_o plane_n of_o the_o ecliptic_a of_o the_o ten_o sphere_n and_o therefore_o do_v not_o differ_v from_o the_o true_a ecliptic_a because_o it_o never_o swerve_v from_o the_o same_o but_o the_o aequinoctial_a line_n of_o this_o nine_o sphere_n be_v movable_a according_a as_o the_o two_o aequinoctial_a point_n in_o which_o it_o cross_v the_o true_a ecliptic_a be_v moovable_a be_v carry_v both_o backward_a and_o forward_o and_o sometime_o be_v conjoin_v together_o with_o the_o aequinoctial_a point_n of_o the_o ten_o heaven_n and_o sometime_o again_o be_v remoove_v from_o the_o say_v true_a aequinoctial_a point_n of_o the_o ten_o sphere_n and_o the_o great_a distance_n that_o the_o say_v two_o point_n can_v have_v from_o the_o aequinoctial_a point_n of_o the_o ten_o sphere_n be_v 1_o degree_n i12·_fw-la ii22·_fw-la iii30·_fw-la in_o which_o the_o point_n a_o signify_v the_o vernal_a aequinoctial_a point_n as_o well_o of_o the_o ten_o heaven_n as_o of_o the_o first_o movable_a which_o point_n we_o will_v hereafter_o call_v the_o true_a vernal_a aequinox_n in_o which_o point_n one_o of_o the_o pole_n of_o the_o nine_o sphere_n be_v suppose_v to_o be_v fix_v and_o the_o other_o pole_n be_v in_o the_o opposite_a point_n which_o be_v the_o true_a autumnal_a aequinoctial_a point_n now_o upon_o the_o centre_n a_o imagine_v a_o little_a circle_n to_o be_v draw_v who_o semidiameter_n be_v a_o b_o contain_v in_o length_n upon_o the_o superficies_n of_o the_o say_v nine_o sphere_n i●5·_fw-la ii41·_fw-la iii15·_fw-la and_o in_o the_o same_o convex_a superficies_n imagine_v a_o second_o little_a circle_n to_o be_v draw_v equal_a unto_o the_o former_a the_o centre_n of_o which_o second_o circle_n be_v in_o the_o circumference_n of_o the_o first_o little_a circle_n viz._n in_o the_o point_n c_o the_o semidiameter_n whereof_o be_v c_o d_o contain_v in_o length_n i35·_fw-la ii41·_fw-la ii15·_fw-la so_o shall_v the_o whole_a diameter_n a_o d_o contain_v in_o length_n 1_o degree_n i11·_fw-la ii22·_fw-la iii30·_fw-la and_o suppose_v the_o right_a line_n k_o g_z to_o be_v the_o true_a ecliptic_a and_o the_o right_n overthwart_a line_n i_o f_o to_o be_v the_o equinoctial_a line_n of_o the_o ten_o heaven_n and_o also_o of_o the_o first_o movable_a now_o the_o circumference_n of_o the_o second_o little_a circle_n will_v cross_v the_o true_a ecliptic_a k_o g_o in_o some_o one_o point_n or_o other_o as_o in_o the_o point_n e_o which_o point_n of_o intersection_n wheresoever_o it_o happen_v to_o be_v be_v the_o place_n of_o the_o vernal_a aequinoctial_a point_n of_o the_o nine_o sphere_n which_o vernal_a aequinoctial_a point_n we_o will_v henceforth_o call_v the_o mean_a equinox_n as_o the_o point_n a_o be_v the_o true_a equinox_n so_o that_o hereby_o you_o may_v perceive_v that_o the_o mean_a equinox_n be_v nothing_o else_o but_o that_o point_n in_o which_o the_o aequinoctial_a line_n of_o the_o nine_o sphere_n cross_v the_o ecliptic_a line_n of_o the_o say_v nine_o sphere_n or_o true_a ecliptic_a 3._o the_o prosthapheresis_fw-la of_o the_o equinox_n be_v the_o distance_n which_o be_v betwixt_o the_o true_a and_o mean_a equinox_n as_o be_v the_o line_n a_o e_o and_o this_o prosthapheresis_fw-la you_o shall_v find_v in_o the_o 16_o cannon_n under_o the_o title_n praecessionis_fw-la aequinoctiorum_fw-la the_o manner_n of_o find_v whereof_o be_v teach_v in_o the_o 10_o precept_n but_o because_o the_o say_v prosthapheresis_fw-la can_v be_v find_v but_o by_o help_n of_o the_o anomalia_fw-la of_o the_o equinox_n 4._o i_o will_v therefore_o show_v what_o the_o say_v anomalia_fw-la of_o the_o equinox_n be_v for_o the_o understanding_n whereof_o resort_n to_o the_o former_a figure_n in_o which_o you_o see_v how_o the_o tip_n or_o extreme_a point_n of_o the_o diameter_n of_o the_o second_o circle_n viz._n the_o point_n d_o describe_v by_o his_o motion_n that_o be_v by_o the_o motion_n of_o the_o nine_o sphere_n the_o circle_n d_o f_o g_o h_o i_o k_n l_o which_o circle_n be_v call_v the_o circle_n of_o anomalia_fw-la wherein_o the_o motion_n of_o the_o anomalia_fw-la be_v always_o reckon_v and_o the_o distance_n betwixt_o the_o point_n l_o and_o the_o point_n d_o be_v the_o anomalia_fw-la of_o the_o equinox_n itself_o and_o be_v always_o double_a unto_o the_o anomalia_fw-la of_o the_o obliquity_n of_o the_o true_a ecliptic_a and_o therefore_o we_o use_v to_o do_v no_o more_o but_o to_o double_v the_o anomalia_fw-la of_o the_o say_a obliquity_n otherwise_o call_v the_o simple_a anomalia_fw-la which_o be_v to_o be_v find_v by_o the_o 14_o cannon_n under_o the_o title_n anomalia_fw-la aequinoctiorum_fw-la in_o such_o order_n as_o the_o eight_o precept_n teach_v chap._n four_o of_o the_o eight_o heaven_n 1._o the_o eight_o heaven_n be_v situate_v under_o the_o nine_o heaven_n and_o move_v from_o west_n to_o east_n contrary_a to_o the_o motion_n of_o the_o first_o moovable_a upon_o the_o pole_n of_o the_o true_a ecliptic_a make_v his_o revolution_n in_o 25816_o egyptian_a year_n and_o depend_v whole_o upon_o the_o mean_a equinox_n 2._o in_o this_o sphere_n be_v imagine_v also_o a_o aequinoctial_a and_o a_o ecliptic_a line_n and_o the_o ecliptic_a line_n of_o this_o heaven_n be_v always_o in_o the_o same_o plane_n with_o the_o ecliptic_a of_o the_o 9_o and_o 10_o heaven_n and_o swerve_v not_o from_o the_o true_a ecliptic_a at_o all_o but_o the_o aequinoctial_a point_n of_o this_o sphere_n do_v move_v from_o the_o true_a equinox_n sometime_o forward_o and_o sometime_o time_n backward_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

which_o be_v set_v down_o in_o the_o heaven_n of_o saturn_n but_o only_o in_o the_o time_n of_o their_o motion_n &_o in_o the_o quantity_n of_o some_o arch_n for_o the_o deferent_n of_o the_o auge_n and_o opposite_a auge_n in_o the_o heaven_n of_o jupiter_n do_v make_v their_o revolution_n in_o 109756_o egyptian_a year_n and_o the_o excentrique_fw-la of_o this_o heaven_n make_v his_o revolution_n in_o 11_o egyptian_a year_n 318_o day_n and_o one_o hour_n almost_o and_o the_o excentricity_n of_o the_o excentrique_fw-la of_o jupiter_n be_v 2_o degree_n i45·_n and_o the_o excentricity_n of_o the_o circle_n equant_fw-la be_v 5_o degree_n i30·_v the_o epicicle_n of_o this_o heaven_n make_v his_o revolution_n in_o 398_o day_n 21_o hour_n i13·_fw-la ii15·_fw-la iii●●°_n and_o the_o daily_a motion_n thereof_o be_v i54·_fw-la ii9·_fw-la iii4·_fw-la the_o great_a equation_n of_o the_o centre_n which_o belong_v unto_o jupiter_n be_v 5_o degree_n i13·_fw-la ii59·_fw-la and_o that_o be_v when_o the_o centre_n of_o the_o epicicle_n be_v distant_a from_o the_o true_a auge_n of_o the_o excentrique_fw-la 93_o degree_n whether_o it_o be_v according_a or_o contrary_a to_o the_o succession_n of_o the_o sign_n and_o the_o great_a equation_n of_o the_o argument_n when_o the_o centre_n of_o the_o epicicle_n be_v in_o the_o auge_n of_o the_o excentrique_fw-la be_v 10_o degree_n i30·_fw-la ii9·_fw-la and_o then_o the_o distance_n of_o the_o planet_n from_o the_o true_a auge_n of_o his_o epicicle_n be_v 100_o degree_n i30_n almost_o and_o the_o great_a equation_n of_o the_o say_a argument_n when_o the_o epicicle_n be_v in_o the_o opposite_a auge_n of_o the_o excentrique_fw-la be_v 11_o degree_n i31·_a ii2●°_n &_o then_o the_o planet_n be_v distant_a from_o the_o true_a auge_n of_o the_o epicicle_n 102_o degree_n almost_o the_o equal_a or_o mean_a move_n of_o jupiters_n longitude_n from_o the_o first_o star_n of_o the_o ram_n horn_n be_v daily_o i4·_fw-la ii59·_fw-la iii8·_fw-la and_o the_o yearly_a motion_n thereof_o be_v 30_o degree_n i19·_a ii4●°_n iii6·_fw-la &_o make_v one_o entire_a revolution_n in_o 11_o egyptian_a year_n 214_o day_n 21_o hour_n i16·_fw-la ii24·_fw-la the_o rest_n of_o the_o line_n and_o arch_n belong_v to_o this_o planet_n be_v define_v in_o the_o former_a five_o chapter_n and_o the_o find_n of_o all_o such_o thing_n as_o be_v needful_a for_o that_o purpose_n be_v set_v down_o in_o the_o say_v five_o chapter_n differ_v nothing_o from_o the_o manner_n which_o be_v therein_o show_v except_o it_o be_v in_o the_o number_n of_o the_o cannon_n which_o for_o saturn_n be_v the_o 19_o and_o for_o this_o planet_n it_o be_v the_o 20_o cannon_n chap._n vii_o of_o the_o five_o heaven_n or_o heaven_n of_o mars_n the_o five_o heaven_n belong_v to_o mars_n have_v like_o number_n of_o orb_n as_o have_v the_o heaven_n of_o saturn_n and_o the_o say_a orb_n be_v place_v even_o as_o they_o be_v in_o saturn_n and_o therefore_o i_o shall_v not_o need_v to_o make_v any_o particular_a relation_n of_o the_o orb_n or_o line_n of_o this_o sphere_n but_o to_o refer_v you_o to_o the_o five_o chapter_n show_v only_o here_o the_o difference_n of_o the_o motion_n the_o deferent_n of_o the_o auge_n in_o the_o heaven_n of_o mars_n do_v make_v their_o revolution_n in_o 45088_o egyptian_a year_n so_o as_o their_o daily_a motion_n be_v iii4·_v iiii43·_n and_o their_o yearly_a motion_n be_v ii28·_fw-la iii44·_fw-la iiii37·_fw-la the_o excentrique_fw-la of_o this_o heaven_n make_v his_o revolution_n in_o one_o year_n and_o 322_o day_n almost_o so_o as_o his_o daily_a motion_n be_v i31·_fw-la ii26·_fw-la iii26·_fw-la iiii15·_fw-la and_o the_o yearly_a motion_n thereof_o be_v 191_o degree_n i15·_fw-la ii49·_fw-la iii44·_fw-la iiii3·_fw-la the_o epicicle_n of_o this_o heaven_n make_v his_o revolution_n in_o 2_o year_n 49_o day_n 19_o hour_n i43·_n and_o the_o daily_a motion_n thereof_o be_v i27·_fw-la ii41·_fw-la iii40·_fw-la and_o his_o yearly_a motion_n be_v 168_o degree_n i2●°_n ii30·_fw-la iii42·_fw-la the_o great_a equation_n of_o the_o centre_n belong_v unto_o mars_n be_v 11_o degree_n i5·_fw-la ii59·_fw-la and_o that_o be_v when_o the_o centre_n of_o his_o epicicle_n be_v distant_a from_o the_o true_a auge_n of_o the_o excentrique_fw-la 95_o degree_n and_o i30·_n be_v it_o according_a or_o contrary_a to_o the_o succession_n of_o the_o sign_n the_o great_a equation_n of_o the_o argument_n when_o the_o centre_n of_o the_o epicicle_n be_v in_o the_o auge_n of_o the_o excentrique_fw-la be_v 36_o degree_n i54·_fw-la ii18·_fw-la and_o then_o the_o distance_n of_o the_o planet_n from_o the_o true_a auge_n of_o his_o epicicle_n be_v 127_o degree_n almost_o and_o the_o great_a equation_n of_o the_o argument_n when_o the_o centre_n of_o the_o epicicle_n be_v in_o the_o opposite_a auge_n of_o his_o excentrique_fw-la be_v 46_o degree_n i38·_fw-la ii4·_fw-la and_o that_o be_v when_o the_o planet_n be_v distant_a from_o the_o auge_n of_o the_o epicicle_n 137_o deg_fw-la the_o mean_a move_n of_o the_o longitude_n of_o mars_n be_v every_o day_n i31·_fw-la ii26·_fw-la iii31·_fw-la and_o the_o yearly_a motion_n thereof_o be_v 191_o i16·_fw-la ii18·_fw-la iii29·_fw-la and_o make_v one_o entire_a revolution_n in_o one_o year_n 321_o day_n 23_o hour_n i32·_v all_o other_o line_n and_o arch_n belong_v to_o mars_n be_v define_v in_o the_o five_o chapter_n and_o the_o cannon_n serve_v for_o the_o find_n of_o they_o and_o their_o place_n be_v the_o 21_o cannon_n in_o number_n chap._n viii_o of_o the_o four_o heaven_n or_o heaven_n of_o the_o sun_n the_o next_o heaven_n under_o that_o of_o mars_n be_v the_o heaven_n of_o the_o sun_n and_o have_v his_o proper_a and_o peculiar_a motion_n from_o west_n to_o east_n this_o heaven_n consist_v of_o five_o orb_n whereof_o two_o be_v call_v the_o deferent_n of_o the_o mean_a auge_n of_o the_o sun_n excentrique_fw-la the_o other_o two_o orb_n be_v call_v the_o deferent_n of_o the_o true_a auge_n 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