Selected quad for the lemma: reason_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
reason_n	angle_n	equal_a	line_n	4,117	5	11.1250	5	true

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A93028	The anatomy of Urania practica or, a short mathematicall discourse; laying open the errors and impertinencies delivered in a treatise lately published by Mr. Vincent Wing, and Mr. William Leybourne, under the title of Urania practica. By Jeremy Shakerley philomath.	Shakerley, Jeremy, fl. 1651.	1649 (1649)	Wing S2911; Thomason E1366_1; ESTC R209254	23,878	48

motion_n of_o mars_n to_o these_o reason_n i_o may_v add_v also_o the_o continue_a observation_n of_o tycho_n in_o eclipse_n which_o clear_a the_o moon_n of_o any_o secondary_a inequality_n at_o the_o time_n of_o defect_n which_o be_v the_o true_a not_o mean_a syzigia_n of_o the_o luminary_n but_o to_o this_o i_o can_v impute_v any_o great_a force_n the_o difference_n be_v so_o little_a as_o it_o be_v hardly_o to_o be_v distinguish_v from_o those_o many_o irregularity_n which_o attend_v on_o the_o propinquity_n of_o the_o moon_n to_o the_o earth_n and_o of_o we_o in_o these_o northern_a region_n by_o reason_n of_o the_o great_a obliquity_n of_o our_o sphere_n more_o perceive_v nor_o can_v we_o as_o yet_o think_v the_o manifold_a motion_n of_o this_o inconstant_a torrella_n so_o thorough_o know_v as_o we_o can_v for_o the_o present_a build_v any_o certainty_n hereon_o i_o doubt_v not_o but_o that_o astronomia_fw-la brittannica_fw-la now_o by_o the_o blessing_n of_o god_n almost_o bring_v to_o perfection_n will_v short_o take_v away_o many_o doubt_n herein_o which_o have_v hithereto_o puzzle_v divers_a artist_n and_o i_o doubt_v not_o but_o i_o shall_v discover_v some_o thing_n concern_v the_o moon_n motion_n which_o may_v be_v useful_a for_o astronomer_n in_o this_o subject_n and_o more_o rational_a than_o those_o impertinency_n our_o author_n have_v here_o deliver_v for_o they_o be_v out_o of_o all_o possibility_n of_o be_v excuse_v that_o in_o such_o a_o clear_a sunshine_n will_v impudent_o adventure_v to_o set_v out_o their_o dim_a lantern_n for_o a_o guide_n to_o the_o young_a practitioner_n through_o these_o mysterious_a labyrinth_n especial_o such_o a_o worthy_a luminary_n as_o kepler_n have_v long_o since_o put_v all_o out_o of_o doubt_n and_o teach_v truth_n to_o move_v in_o she_o own_o orb_n not_o impedit_v by_o the_o adventitious_a remora_n of_o humane_a fancy_n chap._n vi_o a_o demonstrative_a examination_n of_o our_o author_n table_n of_o eclipse_n we_o now_o come_v to_o the_o touch_n stone_n of_o our_o author_n judgement_n and_o will_v by_o god_n help_n lay_v open_a those_o many_o absurdity_n which_o will_v follow_v shall_v we_o admit_v of_o our_o author_n table_n this_o speculation_n be_v not_o ordinary_a for_o obvious_a to_o every_o young_a practitioner_n yea_o the_o intricacy_n hereof_o have_v entangle_v many_o profounder_n artist_n than_o either_o master_n wing_n master_n l●y●ourn_n or_o myself_o few_o of_o those_o many_o author_n ●_o ch_o to_o this_o day_n have_v appear_v the_o public_a champion_n of_o urania_n have_v have_v a_o full_a knowledge_n hereof_o except_v kepler_n the_o late_a ballialdus_fw-la and_o the_o noble_a genius_n of_o our_o worthy_a countryman_n master_n jeremy_n horrox_n 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d from_o who_o remains_o i_o have_v gather_v the_o most_o of_o what_o i_o shall_v write_v in_o this_o chapter_n those_o who_o have_v presume_v of_o their_o own_o sufficiency_n to_o be_v able_a to_o demonstrate_v those_o dimension_n which_o be_v requisite_a for_o the_o calculation_n of_o eclipse_n have_v use_v thereto_o a_o diagram_n say_v to_o be_v invent_v by_o hipparchus_n which_o they_o have_v several_o comment_v on_o among_o the_o rest_n the_o late_a famous_a lansberge_n have_v in_o his_o uranometrie_n make_v a_o large_a discourse_n thereof_o but_o so_o simple_o as_o he_o may_v be_v ashamed_a to_o spend_v those_o brast_n upon_o so_o insufficient_a a_o piece_n yet_o have_v his_o great_a fault_n be_v that_o he_o have_v not_o fit_v his_o number_n to_o those_o theorem_n or_o element_n in_o his_o uranometrie_n as_o by_o he_o that_o will_v compare_v his_o number_n with_o the_o follow_a diagram_n may_v be_v see_v but_o the_o like_a can_v so_o well_o be_v say_v of_o copernicus_n tycho_n longomontanus_n etc._n etc._n by_o who_o it_o be_v likely_a this_o demonstrative_a way_n be_v rather_o omit_v than_o not_o conceive_v for_o they_o perceive_v their_o observation_n not_o to_o answer_v full_o the_o rigid_a theorem_n hereof_o take_v more_o care_n to_o satisfy_v their_o observation_n than_o demonstration_n but_o the_o great_a cause_n of_o this_o difference_n be_v the_o inconstancy_n of_o physical_a cause_n which_o still_o interpose_v themselves_o they_o be_v not_o altogether_o to_o be_v excuse_v as_o not_o profess_v to_o deliver_v the_o accidental_a inconstancy_n of_o the_o phaenomena_n but_o the_o true_a and_o demonstrative_a principle_n of_o art_n but_o the_o divine_a kepler_n both_o understand_v the_o excellency_n of_o this_o diagram_n and_o have_v fit_v the_o precept_n of_o his_o rudolphine_n table_n hereto_o he_o mention_n oft_o a_o book_n of_o his_o own_o entitle_v hipparchus_n wherein_o the_o demonstration_n hereof_o be_v contain_v the_o book_n i_o have_v not_o see_v perhaps_o it_o be_v not_o yet_o publish_v i_o shall_v only_o at_o this_o time_n touch_v some_o few_o thing_n herein_o that_o concern_v my_o present_a purpose_n refer_v the_o reader_n for_o the_o rest_n to_o astronomia_fw-la brittannica_fw-la where_o it_o be_v full_o demonstrate_v and_o the_o manifold_a use_n thereof_o declare_v in_o the_o diagram_n annex_v let_v a_o be_v the_o centre_n of_o the_o sun_n c_o of_o the_o perigaean_a shadow_n h_n of_o the_o apogaean_a shadow_n b_o of_o the_o earth_n so_o be_v the_o apparent_a semidiameter_n of_o the_o sun_n abe_n of_o the_o perigaean_a shadow_n cbp_n of_o the_o apogaean_a shadow_n hbn_n the_o vertex_fw-la of_o the_o conical_a shadow_n d_o the_o semiangle_n thereof_o bdg_n the_o axis_fw-la bd_o let_v the_o line_n gf_n pk_v no_o be_v parallel_n to_o da_fw-la the_o semidiameter_n of_o the_o earth_n bg_n the_o centre_n of_o the_o moon_n l_o the_o semidiameter_n of_o the_o moon_n in_o the_o change_n lbm_n the_o horizontal_n paralax_n of_o the_o sun_n bag_n of_o the_o moon_n blg_n whence_o we_o thus_o proceed_v i._o the_o semiangle_n of_o the_o cone_n of_o the_o shadow_n be_v always_o less_o than_o the_o sun_n be_v apparent_a semidiameter_n and_o the_o difference_n of_o these_o be_v the_o sun_n be_v horizontall_a paralax_n the_o former_a part_n be_v prove_v from_o a_o opticall_a principle_n idem_fw-la objectum_fw-la quo_fw-la proprius_fw-la cerniter_fw-la eo_fw-la majus_fw-la apparet_fw-la so_o that_o the_o semidiameter_n of_o the_o sun_n be_v behold_v from_o b_o appear_v great_a than_o if_o it_o be_v behold_v from_o d_o in_o regard_n b_o be_v near_o the_o object_n then_o d._n the_o sun_n semidiameter_n apparent_a be_v abe_n age_n the_o sun_n be_v horizontall_a paralax_n be_v bag_n gaf_n now_o in_o regard_n the_o two_o line_n ad_fw-la and_z fg_n be_v parallel_n it_o be_v necessary_a that_o ade_n shall_v be_v equal_a to_o fge_v therefore_o age-fge-agf-bag_n the_o sun_n be_v horizontall_a paralax_n ii_o the_o semiangle_n of_o the_o cone_n of_o the_o shadow_n be_v equal_a to_o the_o difference_n of_o the_o moon_n be_v horizontall_a paralax_n and_o the_o semidiameter_n of_o the_o shadow_n let_v we_o take_v the_o moon_n in_o her_o apogaeum_n and_o opposition_n to_o the_o sun_n her_o horizontall_a paralax_n be_v bhg_v whereto_o bng_n be_v equal_a the_o semidiamiter_n apparent_a of_o the_o shadow_n hbn_n now_o bng_v hbn_n onp_v which_o by_o reason_n of_o the_o paralellisme_n of_o the_o line_n no_o and_z da_z be_v equal_a to_o the_o angle_n ade_n which_o be_v the_o semiangle_n of_o the_o cone_n of_o the_o shadow_n if_o we_o take_v also_o the_o moon_n in_o her_o perigaeum_n her_o horizontall_a paralax_n be_v bcg_n whereto_o bpg_n be_v equal_a the_o apparent_a semidiameter_n of_o the_o shadow_n be_v cbp_v now_o bpg_n bpk_v kpg_n which_o by_o reason_n of_o the_o paralellism_n of_o the_o line_n pk_v and_o dam_fw-la be_v equal_a to_o the_o angle_n ade_n the_o semiangle_n of_o the_o cone_n of_o the_o shadow_n nor_o need_v any_o one_o think_v our_o demonstration_n invalid_a or_o insufficient_a for_o that_o we_o have_v assume_v the_o angle_n bcg_n and_o bpg_n to_o be_v equal_a whereas_o indeed_o they_o be_v not_o 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d precise_o so_o for_o i_o shall_v show_v how_o inconsiderable_a a_o difference_n this_o be_v and_o how_o far_o it_o avoid_v our_o observation_n for_o if_o we_o take_v the_o angle_n ade_n or_o which_o be_v the_o same_o kpg_n to_o be_v 12_o min._n o_o sec_fw-la which_o follow_v from_o our_o author_n number_n for_o by_o the_o first_o theorem_a age_n 15_o min._n o_o sec_fw-la agf_n 3_o min._n o_o sec_fw-la fge_n ade_n 12_o min._n o_o sec_fw-la the_o natural_a tangent_fw-la thereof_o be_v 349067_o kg_n we_o shall_v also_o from_o our_o author_n table_n take_v the_o apparent_a semidiameter_n of_o the_o shadow_n cbp_n or_o bpk_v to_o be_v 47_o min._n o_o sec_fw-la which_o be_v the_o great_a they_o set_v down_o it_o be_v tangent_fw-la be_v bk_n 1367260._o the_o sum_n of_o the_o angle_n be_v bpg_n 59_o min._n o_o sec_fw-la the_o sum_n of_o the_o tangent_n be_v bg_n 1716327._o whereto_o answer_v the_o angle_n bcg_n 58_o min._n 59_o sec_fw-la 50_o

the_o year_n of_o our_o lord_n be_v only_o of_o all_o the_o follow_a centenaries_n to_o be_v bissextile_a the_o rest_n of_o the_o centenaries_n only_o common_a year_n of_o 365._o day_n whereby_o it_o fall_v out_o the_o gregorian_a account_n every_o 400._o year_n gain_v three_o day_n of_o what_o the_o julian_n lose_v the_o difference_n of_o the_o two_o account_n in_o some_o succeed_a centenaries_n we_o have_v here_o exhibit_v in_o this_o table_n  _fw-fr an._n don_n ad_fw-la da_fw-mi anno_fw-la domini_fw-la add_v day_n anno_fw-la dom_n ad_fw-la da._n from_o the_o 5._o of_o october_n 1582._o 10._o  _fw-fr from_o the_o 24_o of_o february_n 1700._o 11._o 2500._o 17._o 3300_o 23_o 1800._o 12._o 2600._o 18._o 3400_o 24_o 1900._o 13._o 2700._o 19_o 3500_o 25_o 2100._o 14._o 2900._o 20._o 3700_o 26_o 2200._o 15._o 3000._o 21._o 3800_o 27_o 2300._o 16._o 3100._o 22._o 3900_o 28_o thus_o by_o omit_v the_o intercalation_n in_o these_o year_n the_o dominical_a letter_n and_o epact_n which_o depend_v on_o the_o number_n of_o day_n in_o each_o year_n come_v to_o be_v change_v and_o by_o reason_n of_o the_o former_a the_o number_n of_o direction_n and_o consequent_o the_o movable_a feast_n can_v by_o my_o author_n rule_n be_v true_o perpetual_o gather_v all_o which_o with_o some_o other_o inconvenience_n have_v be_v here_o more_o full_o insist_v on_o if_o we_o have_v not_o think_v this_o that_o have_v be_v say_v sufficient_a for_o the_o ingenious_a whereby_o to_o correct_v and_o amend_v these_o imperfection_n and_o that_o origanus_n in_o the_o first_o part_n of_o his_o introduction_n to_o his_o ephemerides_n have_v save_v our_o pen_n that_o labour_n which_o haste_v to_o discovery_n of_o further_a concernment_n chap._n iii_o the_o inequality_n of_o the_o precession_n of_o the_o equinoctial_a point_n examine_v what_o may_v be_v happy_a to_o urania_n and_o grateful_a to_o her_o true_a and_o legitimate_a favourite_n we_o now_o adventure_v upon_o the_o sun_n and_o moon_n motion_n a_o large_a current_n of_o consideration_n do_v charge_v we_o and_o we_o be_v likely_a to_o have_v more_o matter_n than_o convenience_n to_o prosecute_v it_o yet_o shall_v my_o unwillingness_n to_o trouble_v the_o reader_n with_o more_o than_o be_v needful_a for_o our_o present_a purpose_n and_o my_o hope_n of_o a_o future_a fit_a opportunity_n to_o dilate_v my_o conceit_n upon_o this_o subject_n prevail_v with_o the_o urgency_n of_o the_o matter_n and_o confine_v my_o discourse_n to_o its_o intend_a limit_n the_o first_o occasion_n that_o invite_v our_o pen_n to_o consider_v hereof_o be_v give_v by_o our_o author_n pag._n 52._o where_o mention_n be_v make_v of_o a_o mean_a and_o true_a equinox_n in_o these_o word_n so_o shall_v you_o have_v the_o true_a motion_n of_o the_o sun_n ab_fw-la aequinoctio_fw-la vero_fw-la for_o in_o these_o table_n the_o sun_n be_v mean_a motion_n be_v reckon_v from_o the_o true_a equinox_n and_o not_o from_o the_o mean_v whereby_o we_o may_v gather_v that_o our_o author_n admit_v of_o a_o inequality_n of_o the_o precession_n of_o the_o equinoctial_a point_n the_o manner_n whereof_o with_o the_o cause_n of_o its_o admission_n into_o astronomy_n and_o last_o the_o validity_n thereof_o because_o none_o of_o these_o be_v by_o our_o author_n so_o much_o as_o touch_v it_o will_v not_o be_v inconvenient_a here_o in_o as_o brief_a a_o way_n as_o may_v be_v to_o deliver_v after_o that_o noble_a dane_n tycho_n brahe_n have_v to_o the_o glory_n of_o art_n and_o joy_n of_o artist_n with_o incredible_a pain_n and_o diligence_n perfect_v that_o elaborate_a table_n of_o the_o fix_a star_n and_o rectify_v it_o to_o his_o own_o time_n a_o further_a and_o necessary_a care_n of_o perpetuate_a it_o induce_v he_o to_o consider_v what_o help_n may_v be_v draw_v from_o ancient_a observation_n to_o this_o purpose_n and_o perceive_v by_o those_o account_n that_o be_v take_v of_o their_o place_n first_o by_o hipparchus_n afterward_o by_o ptolomey_n albategnius_n arzabel_n copernicus_n and_o some_o other_o that_o they_o have_v not_o only_a motion_n but_o unequal_a motion_n and_o inconstancy_n in_o their_o latitude_n in_o several_a age_n he_o be_v force_v to_o devise_v some_o way_n whereby_o these_o motion_n may_v be_v regulate_v to_o prove_v consentaneous_a to_o the_o observation_n of_o all_o age_n the_o theory_n of_o this_o inequality_n be_v according_a to_o the_o famous_a astronomer_n chr._n s._n longomontanus_n in_o this_o manner_n longomontanus_n theric_n lib._n 1._o let_v a_o be_v the_o pole_n of_o tke_v ecliptic_a bc_n that_o part_n of_o the_o arctic_a circle_n of_o the_o ecliptic_a which_o the_o pole_n of_o the_o earth_n in_o b_o have_v run_v by_o its_o equal_a motion_n upon_o the_o centre_n of_o the_o ecliptic_a since_o the_o creation_n this_o arch_a measure_n also_o the_o precession_n of_o the_o equinox_n and_o progressive_a motion_n of_o the_o fix_a star_n basilius_n be_v 23._o degr_n 42._o min_fw-mi the_o zodiac_n mean_v obliquity_n dge_v the_o small_a circle_n regulate_v the_o obliquity_n of_o the_o zodiac_n ad_fw-la it_o radius_fw-la 10._o min._n 53._o sec_fw-la by_o which_o it_o appear_v both_o how_o the_o zodiac_n change_v its_o obliquity_n and_o also_o how_o the_o equinoctial_a point_n and_o consequent_o every_o several_a point_n in_o the_o zodiac_n do_v inequal_o anticipate_v for_o when_o the_o pole_n of_o the_o aequator_fw-la which_o be_v carry_v in_o the_o circle_n edg_n be_v at_o e_o or_o g_o the_o obliquity_n be_v in_o its_o mean_a deviation_n and_o be_v equal_a to_o ab_fw-la 23._o degr_n 42._o min._n but_o the_o equation_n of_o the_o equinox_n be_v the_o great_a gba_n 27._o min._n 5._o sec_fw-la and_o be_v to_o be_v substract_v at_o g_o add_v at_o e_o wnen_n the_o pole_n of_o the_o aequator_fw-la be_v at_o d_o the_o obliquity_n be_v least_o and_o be_v equal_a to_o db_v 23._o degr_n 31._o min._n 7._o sec_fw-la but_o when_o the_o pole_n of_o the_o aequator_fw-la be_v at_o f_o the_o obliquity_n b_o f_o be_v great_a and_o be_v 23._o degr_n 52._o min._n 53._o sec_fw-la and_o in_o both_o these_o case_n there_o be_v no_o aequation_n of_o the_o equinox_n by_o reason_n of_o the_o coincidence_n of_o the_o line_n basilius_n and_o bg_n this_o be_v the_o artifice_n longomontanus_n have_v use_v to_o satisfy_v appearance_n with_o which_o if_o we_o shall_v phiscally_a consider_v i_o doubt_v we_o shall_v find_v it_o more_o ingenuous_a than_o true_a for_o it_o be_v scarce_o tolerable_a for_o any_o astronomer_n to_o devise_v circle_n and_o imaginary_a motion_n where_o with_o to_o fill_v the_o heaven_n and_o withdraw_v the_o eye_n of_o man_n from_o a_o perfect_a consideration_n of_o the_o wisdom_n and_o power_n of_o his_o creator_n which_o best_o appear_v in_o the_o simplicity_n and_o uniformity_n of_o these_o celestial_a essence_n yet_o may_v this_o hypothesis_n have_v be_v allow_v yea_o high_o commend_v if_o any_o good_a to_o astronomy_n have_v come_v thereby_o more_o than_o a_o needless_a multiplication_n of_o uncertainty_n we_o will_v consider_v in_o a_o few_o word_n the_o validity_n and_o necessity_n of_o this_o hypothesis_n to_o perform_v what_o it_o promise_v of_o the_o necessity_n hereof_o ancient_a observation_n can_v give_v we_o no_o certainty_n for_o from_o proclus_n to_o our_o time_n for_o above_o a_o thousand_o year_n the_o aequinoctial_a point_n have_v make_v a_o certain_a and_o equal_a precession_n agreeable_a to_o that_o rule_n of_o motion_n which_o timocharis_n and_o hipparchus_n observe_v above_o 1800._o year_n ago_o if_o we_o only_o except_o ptolomey_n therefore_o if_o any_o circulation_n more_o than_o annual_a and_o diurnal_a if_o those_o be_v to_o be_v admit_v have_v befall_v to_o the_o pole_n of_o the_o aequator_fw-la whereby_o it_o have_v be_v so_o enormious_o remove_v from_o its_o situation_n it_o be_v betwixt_o the_o time_n of_o hipparchus_n and_o ptolomey_n in_o the_o space_n of_o less_o than_o three_o hundred_o year_n and_o be_v again_o restore_v in_o the_o time_n betwixt_o ptolomey_n and_o preclus_fw-la in_o other_o three_o hundred_o year_n wherefore_o without_o injury_n we_o may_v doubt_v of_o the_o certainty_n of_o ptolemy_n observation_n and_o the_o rather_o for_o that_o he_o himself_o seem_v to_o imply_v as_o much_o by_o these_o word_n non_fw-fr in_o tropicis_fw-la tantum_fw-la observation_n bus_fw-la sed_fw-la &_o in_o aequinoctiabus_n error_n accidere_fw-la poorest_n qui_fw-la ad_fw-la quartam_fw-la unius_fw-la diei_fw-la partem_fw-la se_fw-la extendat_fw-la quod_fw-la si_fw-la ●nim_fw-la in_o 3600_o tantum_fw-la particula_fw-la as_o if_o that_o be_v little_a or_o nothing_o aequatoris_fw-la situs_fw-la aut_fw-la instrumentis_fw-la divisio_fw-la arecta_fw-la raratione_fw-la deficiat_fw-la illam_fw-la in_o latitudine_fw-la sive_fw-la decliatione_fw-la ac_fw-la ☉_o ad_fw-la aequatorem_fw-la accessu_fw-la ad_fw-la aequabit_fw-la quarta_fw-la circiter_fw-la unius_fw-la gradus_fw-la pars_fw-la in_o zodiaco_n &_o longitudine_fw-la etc._n etc._n praeterquam_fw-la quod_fw-la &_o majus_fw-la erratum_fw-la esse_fw-la

author_n prescription_n for_o the_o use_n of_o they_o we_o will_v here_o brief_o deliver_v our_o author_n have_v in_o the_o table_n of_o the_o sun_n equation_n follow_v the_o theory_n of_o longomontanus_n or_o some_o equivolent_a thereto_o for_o there_o be_v divers_a only_o a_o little_a though_o almost_o insensible_o increase_v the_o eccentricity_n of_o the_o sun_n make_v the_o proportion_n of_o the_o radius_fw-la of_o the_o sun_n orb_n to_o the_o radius_fw-la of_o his_o epicycle_n as_o be_v 100000._o to_o 3577._o to_o which_o eccentricity_n in_o that_o hypothesis_n their_o equation_n of_o the_o sun_n agree_v but_o for_o what_o reason_n they_o have_v make_v this_o change_n themselves_o do_v not_o show_v nor_o can_v i_o conjecture_v in_o the_o table_n of_o the_o moon_n equation_n they_o have_v follow_v argol_n a_o man_n very_o laborious_a in_o calculation_n but_o one_o who_o have_v not_o to_o my_o knowledge_n give_v any_o reason_n for_o what_o he_o have_v do_v he_o have_v omit_v the_o variation_n of_o the_o moon_n induce_v thereto_o as_o he_o say_v by_o observation_n i_o will_v not_o question_v his_o do_n because_o i_o know_v not_o what_o observation_n he_o use_v but_o certain_o if_o there_o have_v not_o be_v a_o necessity_n for_o it_o tycho_n have_v never_o retain_v it_o into_o the_o theory_n of_o the_o moon_n nor_o have_v it_o be_v confirm_v by_o the_o after_o do_n of_o i_o ongemontanus_fw-la kepler_n and_o the_o industrious_a and_o expert_a bullialdus_n especial_o it_o cause_v so_o great_a a_o difference_n in_o the_o moon_n place_n extend_v itself_o to_o 40_o min._n 30_o sec_fw-la according_a to_o tycho_n but_o according_a to_o kepler_n a_o four_o part_n more_o and_o although_o keplers_n variation_n may_v be_v just_o think_v too_o big_a notwithstanding_o he_o seem_v to_o deduce_v it_o from_o physical_a and_o archetypicall_a demonstration_n which_o he_o so_o much_o affect_v yet_o in_o a_o mathematical_a eye_n which_o attend_v preciseness_n the_o variation_n be_v not_o altogether_o contemptible_a in_o the_o latitude_n of_o the_o moon_n our_o author_n have_v mere_o follow_v lansberge_n and_o together_o with_o he_o reject_v the_o inequality_n of_o motion_n in_o the_o moon_n nodes_fw-la of_o which_o i_o will_v nor_o dispute_v the_o demonstration_n thereof_o depend_v upon_o such_o dubious_a principle_n as_o author_n be_v not_o satisfy_v thereof_o tycho_n make_v the_o period_n of_o this_o inequality_n menstrual_a with_o who_o herein_o argol_n and_o bullialdus_n also_o agree_v kepler_n annual_a yet_o all_o since_o tycho_n admit_v thereof_o except_v only_a lansherg_n of_o who_o corruption_n and_o depravation_n of_o ancient_a observation_n so_o wrest_v they_o to_o his_o purpose_n he_o that_o be_v not_o satisfy_v may_v find_v he_o sufficient_o characterise_v by_o phocylides_n in_o his_o forementioned_a book_n thus_o from_o the_o fragment_n of_o break_a author_n have_v our_o author_n patch_v up_o their_o table_n of_o the_o luminary_n motion_n which_o however_o they_o will_v be_v sufficient_a to_o represent_v celestial_a observation_n i_o much_o doubt_n and_o be_o fearful_a that_o our_o author_n have_v do_v the_o divine_a urania_n wrong_v in_o attire_v her_o simple_a excellence_n in_o such_o a_o particoloured_a vesture_n chap._n v._o whether_o the_o second_o inequality_n of_o the_o moon_n have_v dependence_n of_o the_o sun_n mean_a or_o true_a and_o apparent_a place_n by_o the_o quality_n of_o that_o table_n of_o the_o moon_n equation_n our_o author_n have_v set_v down_o occasion_n be_v give_v i_o to_o imagine_v they_o have_v therein_o follow_v a_o theory_n equivolent_a to_o that_o of_o copernicus_n viz_o a_o double_a epicycle_n the_o circumference_n of_o the_o one_o carry_v the_o centre_n of_o the_o other_o yet_o however_o the_o two_o inequality_n which_o be_v by_o copernicus_n attribute_v to_o these_o epicycle_n be_v here_o by_o our_o author_n digest_v into_o one_o table_n which_o without_o question_n be_v of_o great_a concernment_n to_o he_o that_o desire_v speediness_n in_o calculation_n if_o the_o artist_n can_v be_v assure_v of_o its_o exactness_n and_o agreement_n with_o the_o heaven_n and_o those_o legitimate_a and_o physical_a theory_n which_o may_v be_v thence_o deduce_v but_o whereas_o it_o appear_v by_o the_o precept_n which_o guide_v we_o to_o the_o use_n of_o this_o table_n that_o the_o mean_a distance_n of_o the_o luminary_n be_v one_o of_o the_o step_n whereby_o we_o attain_v the_o moon_n equation_n we_o may_v and_o not_o without_o just_a cause_n suspect_v it_o of_o error_n it_o be_v true_a that_o in_o those_o theory_n of_o the_o planet_n which_o be_v use_v before_o tycho_n have_v happy_o confute_v the_o solidity_n of_o celestial_a orb_n there_o may_v be_v some_o appearance_n of_o reason_n why_o the_o centre_n of_o those_o solid_a sphere_n rather_o than_o the_o centre_n of_o the_o eccentricke_a circle_n shall_v regulate_v those_o other_o inequality_n which_o depend_v thereon_o they_o be_v suppose_v in_o that_o age_n not_o imaginary_a but_o real_a point_n and_o therefore_o sufficient_a whereon_o to_o build_v a_o connexion_n of_o mosion_n but_o after_o that_o tycho_n have_v by_o the_o help_n of_o his_o exact_a instrument_n find_v the_o existence_n of_o temporary_a and_o fade_a light_n within_o that_o circuit_n which_o be_v suppose_v to_o be_v free_a from_o generation_n and_o corruption_n and_o thereby_o solid_o refute_v the_o solidity_n of_o those_o orb_n and_o sphere_n so_o laborious_o demonstrate_v by_o ptolemie_n proclus_n peurbachius_n and_o other_o this_o disclosure_n give_v the_o mind_n liberty_n to_o think_v of_o more_o rational_a way_n then_o the_o old_a multiplicity_n of_o circle_n and_o motion_n whereby_o to_o salve_v celestial_a appearance_n and_o hereby_o it_o come_v to_o be_v know_v that_o the_o cause_n of_o motion_n be_v mere_o physical_a and_o dapend_v not_o upon_o the_o variety_n of_o orb_n but_o follow_v that_o simple_a and_o uniform_a course_n nature_n have_v assign_v they_o and_o respect_v not_o those_o imaginary_a centre_n which_o prudent_a antiquity_n have_v for_o want_v of_o other_o help_v devise_v for_o they_o but_o the_o very_a body_n of_o the_o sun_n the_o fountain_n of_o motion_n and_o common_a node_n of_o all_o their_o orbs._n why_o then_o the_o moon_n which_o though_o a_o secondary_a planet_n yet_o have_v relation_n to_o the_o sun_n course_n shall_v receive_v the_o law_n of_o her_o extra-sysygiall_a inaequality_n from_o the_o sun_n mean_a motion_n i_o can_v see_v these_o reason_n will_v evince_v she_o contrary_a 1._o the_o mean_a motion_n of_o the_o sun_n as_o also_o of_o any_o other_o planet_n be_v not_o in_o nature_n but_o only_o devise_v to_o regulate_v those_o exorbitance_n and_o deviation_n from_o equality_n to_o which_o their_o apparent_a motion_n be_v subject_a 2._o observation_n testify_v that_o the_o long_a line_n of_o every_o primary_n theory_n which_o exact_o bisect_v the_o orb_n into_o two_o semicircle_n equal_a in_o the_o quantity_n and_o celerity_n of_o the_o same_o part_n pass_v by_o the_o centre_n of_o the_o sun_n in_o which_o the_o aphelian_a line_n of_o the_o primary_n planet_n concur_v 3._o the_o orbite_n of_o every_o primary_n planet_n be_v intersect_v by_o the_o ecliptic_a in_o place_n opposite_a by_o the_o centre_n of_o the_o sun_n and_o not_o by_o any_o point_n without_o it_o 4._o the_o fountain_n of_o motion_n and_o the_o general_a antecedent_n to_o the_o particular_a relative_a inequality_n of_o the_o planet_n ought_v rather_o to_o be_v in_o the_o most_o excellent_a body_n than_o any_o where_n without_o it_o for_o these_o reason_n first_o because_o the_o move_a force_n can_v reside_v in_o any_o mathematical_a point_n such_o as_o this_o be_v imagine_v to_o be_v but_o require_v a_o body_n the_o more_o full_o to_o exercise_v his_o operate_a power_n second_o it_o be_v most_o cnnsentaneous_a to_o reason_n that_o the_o move_a force_n shall_v be_v in_o the_o centre_n of_o the_o world_n where_o it_o be_v evident_a the_o sun_n be_v there_o be_v rest_n in_o the_o superficies_n or_o sphere_n of_o the_o fix_a star_n and_o motion_n in_o the_o intermediate_v place_n 5._o the_o cause_n why_o copernius_n and_o tycho_n suppose_v the_o two_o centre_n viz._n of_o the_o orb_n and_o of_o the_o eccentrick_a to_o be_v different_a thing_n in_o themselves_o be_v not_o sufficient_o mathematical_a they_o be_v draw_v hereto_o by_o the_o desire_n of_o make_v their_o hypothesis_n equivalent_a to_o those_o of_o ptolemy_n but_o it_o be_v not_o necessary_a to_o follow_v the_o step_n of_o ptolemy_n so_o diligent_o for_o ptolemy_n make_v not_o every_o part_n of_o his_o hypothesis_n from_o observation_n but_o ground_v many_o thing_n upon_o a_o fore-conceived_n opinion_n that_o the_o motion_n of_o the_o planet_n be_v equal_a through_o every_o portion_n of_o their_o own_o circle_n which_o observation_n do_v sufficient_o evince_v to_o be_v untrue_a as_o may_v appear_v by_o famous_a kepler_n in_o his_o learned_a commentary_n of_o the_o