Selected quad for the lemma: diversity_n

Word A Word B Word C Word D Occurrence Frequency Band MI MI Band Prominent
diversity_n fix_a motion_n star_n 398 5 11.2433 5 true
View all documents for the selected quad

Text snippets containing the quad

ID Title Author Corrected Date of Publication (TCP Date of Publication) STC Words Pages
A61244 Mathematical collections and translations ... by Thomas Salusbury, Esq. Salusbury, Thomas. 1661 (1661) Wing S517; ESTC R19153 646,791 680

There are 6 snippets containing the selected quad. | View original text

altogether_o ignorant_a of_o their_o whole_a business_n and_o concern_v but_o if_o he_o shall_v say_v that_o they_o do_v operate_v and_o that_o they_o be_v direct_v to_o this_o end_n he_o do_v affirm_v the_o same_o thing_n which_o a_o little_a before_o he_o deny_v and_o praise_v that_o which_o even_o now_o he_o condemn_v in_o that_o he_o say_v that_o the_o celestial_a body_n situate_v so_o far_o remote_a as_o that_o they_o appear_v very_o small_a can_v have_v any_o influence_n at_o all_o upon_o the_o earth_n but_o good_a sir_n in_o the_o starry_a sphere_n pre-established_n at_o its_o present_a distance_n and_o which_o you_o do_v acknowledge_v to_o be_v in_o your_o judgement_n well_o proportion_v to_o have_v a_o influence_n upon_o these_o terrene_a body_n many_o star_n appear_v very_o small_a and_o a_o hundred_o time_n as_o many_o more_o be_v whole_o invisible_a unto_o we_o which_o be_v a_o appear_v yet_o less_o than_o very_o small_a therefore_o it_o be_v necessary_a that_o contradict_v yourself_o you_o do_v now_o deny_v their_o operation_n upon_o the_o earth_n or_o else_o that_o still_o contradict_v yourself_o you_o grant_v that_o their_o appear_v very_o small_a do_v not_o in_o the_o least_o lessen_v their_o influence_n or_o else_o that_o and_o this_o shall_v be_v a_o more_o sincere_a and_o modest_a concession_n you_o acknowledge_v and_o free_o confess_v that_o our_o pass_a judgement_n upon_o their_o magnitude_n and_o distance_n be_v a_o vanity_n not_o to_o say_v presumption_n or_o rashness_n simp_n truth_n be_v i_o myself_o do_v also_o in_o read_v this_o passage_n perceive_v the_o manifest_a contradiction_n in_o say_v that_o the_o star_n if_o one_o may_v so_o speak_v of_o copernicus_n appear_v so_o very_o small_a can_v not_o operate_v on_o the_o earth_n and_o not_o perceive_v that_o he_o have_v grant_v a_o influence_n upon_o the_o earth_n to_o those_o of_o ptolemy_n and_o his_o sectator_n which_o appear_v not_o only_o very_o small_a but_o be_v for_o the_o most_o part_n very_o invisible_a salv_n but_o i_o proceed_v to_o another_o consideration_n what_o be_v the_o reason_n do_v he_o say_v why_o the_o star_n appear_v so_o little_a be_v it_o haply_o because_o they_o seem_v so_o to_o we_o demonstrate_v do_v not_o he_o know_v that_o this_o come_v from_o the_o instrument_n that_o we_o employ_v in_o behold_v they_o to_o wit_n from_o our_o eye_n and_o that_o this_o be_v true_a by_o change_a instrument_n we_o shall_v see_v they_o big_a and_o big_a as_o much_o as_o we_o will_n and_o who_o know_v but_o that_o to_o the_o earth_n which_o behold_v they_o without_o eye_n they_o may_v not_o show_v very_o great_a and_o such_o as_o in_o reality_n they_o be_v but_o it_o be_v time_n that_o omit_v these_o trifle_n we_o come_v to_o thing_n of_o more_o moment_n and_o therefore_o i_o have_v already_o demonstrate_v these_o two_o thing_n first_o how_o far_o off_o the_o firmament_n ought_v to_o be_v place_v to_o make_v that_o the_o grand_a orb_n cause_v no_o great_a difference_n than_o that_o which_o the_o terrestrial_a orb_n occasion_v in_o the_o remoteness_n of_o the_o sun_n and_o next_o how_o likewise_o to_o make_v that_o a_o star_n of_o the_o firmament_n appear_v to_o we_o of_o the_o same_o bigness_n as_o now_o we_o see_v it_o it_o be_v not_o necessary_a to_o suppose_v it_o big_a than_o the_o sun_n i_o will_v know_v whether_o tycho_n or_o any_o of_o his_o adherent_n have_v ever_o attempt_v to_o find_v out_o by_o any_o mean_n whether_o any_o appearance_n be_v to_o be_v discover_v in_o the_o starry_a sphere_n upon_o which_o one_o may_v the_o more_o resolute_o deny_v or_o admit_v the_o annual_a motion_n of_o the_o earth_n sagr._fw-la i_o will_v answer_v for_o they_o that_o there_o be_v not_o no_o nor_o be_v there_o any_o need_n there_o shall_v m●tion_n see_v that_o it_o be_v copernicus_n himself_o that_o say_v that_o no_o such_o diversity_n be_v there_o and_o they_o argue_v ad_fw-la hominem_fw-la admit_v he_o the_o same_o and_o upon_o this_o assumption_n they_o demonstrate_v the_o improbability_n that_o follow_v thereupon_o namely_o that_o it_o will_v be_v necessary_a to_o make_v the_o sphere_n so_o immense_a that_o a_o fix_a star_n to_o appear_v unto_o we_o as_o great_a as_o it_o now_o seem_v aught_o of_o necessity_n to_o be_v of_o so_o immense_a a_o magnitude_n as_o that_o it_o will_v exceed_v the_o bigness_n of_o the_o whole_a grand_a orb_n a_o thing_n which_o notwithstanding_o as_o they_o say_v be_v altogether_o incredible_a salv_n i_o be_o of_o the_o same_o judgement_n and_o very_o believe_v that_o they_o argue_v contra_fw-la hominem_fw-la study_v more_o to_o defend_v another_o man_n than_o desire_v to_o come_v to_o the_o knowledge_n of_o the_o truth_n and_o i_o do_v not_o only_o believe_v earth_n that_o none_o of_o they_o ever_o apply_v themselves_o to_o make_v any_o such_o observation_n but_o i_o be_o also_o uncertain_a whether_o any_o of_o they_o do_v know_v what_o alteration_n the_o earth_n annual_a motion_n ought_v to_o produce_v in_o the_o fix_a star_n in_o case_n the_o starry_a sphere_n be_v not_o so_o far_o distant_a as_o that_o in_o they_o the_o say_a diversity_n by_o reason_n of_o its_o minuity_n disappeareth_a for_o their_o surcease_n that_o inquisition_n and_o refer_v themselves_o to_o the_o mere_a assertion_n of_o copernicus_n may_v very_o well_o serve_v to_o convict_v a_o man_n but_o not_o to_o acquit_v he_o of_o the_o fact_n instrument_n for_o its_o possible_a that_o such_o a_o diversity_n may_v be_v and_o yet_o not_o have_v be_v seek_v for_o or_o that_o either_o by_o reason_n of_o its_o minuity_n or_o for_o want_n of_o exact_a instrument_n it_o be_v not_o discover_v by_o copernicus_n for_o though_o it_o be_v so_o this_o will_v not_o be_v the_o first_o thing_n that_o he_o either_o for_o want_v of_o instrument_n or_o for_o some_o other_o defect_n have_v not_o know_v and_o yet_o he_o proceed_v upon_o other_o solid_a and_o rational_a conjecture_n affirm_v that_o which_o the_o thing_n by_o he_o not_o discover_v do_v seem_v to_o contradict_v for_o as_o have_v be_v say_v already_o without_o the_o telescope_n neither_o can_v mars_n be_v discern_v to_o increase_v 60._o time_n nor_o venus_n 40._o more_o in_o that_o than_o in_o this_o position_n yea_o their_o difference_n appear_v much_o less_o than_o real_o they_o be_v and_o yet_o nevertheless_o it_o be_v certain_o discover_v at_o length_n that_o those_o mutation_n be_v the_o same_o to_o a_o hair_n that_o the_o copernican_n systeme_n require_v pole_n now_o it_o will_v be_v very_o well_o if_o with_o the_o great_a accurateness_n possible_a one_o shall_v inquire_v whether_o such_o a_o mutation_n as_o aught_o to_o be_v discoverable_a in_o the_o fix_a star_n suppose_v the_o annual_a motion_n of_o the_o earth_n will_v be_v observe_v real_o and_o in_o effect_n a_o thing_n which_o i_o very_o believe_v have_v never_o as_o yet_o be_v do_v by_o any_o do_v say_v i_o no_o nor_o haply_o as_o i_o say_v before_o by_o many_o well_o understand_v how_o it_o ought_v to_o be_v do_v nor_o speak_v i_o this_o at_o random_n for_o i_o have_v heretofore_o see_v a_o certain_a manuscript_n of_o one_o of_o these_o anti-copernicans_a which_o say_v that_o there_o will_v necessary_o follow_v in_o case_n that_o opinion_n be_v true_a a_o continual_a rise_n and_o fall_v of_o the_o pole_n from_o six_o month_n to_o six_o month_n according_a as_o the_o earth_n in_o such_o a_o time_n by_o such_o a_o space_n as_o be_v the_o diameter_n of_o the_o grand_a orb_n retire_v one_o while_o towards_o the_o north_n and_o another_o while_n towards_o the_o south_n and_o yet_o it_o seem_v to_o he_o reasonable_a yea_o necessary_a that_o we_o follow_v the_o earth_n when_o we_o be_v towards_o the_o north_n shall_v have_v the_o pole_n more_o elevate_v than_o when_o we_o be_v towards_o the_o south_n in_o this_o very_a error_n do_v one_o fall_n that_o be_v otherwise_o a_o very_a skilful_a mathematician_n &_o a_o follower_n of_o copernic_n as_o tycho_n relate_v in_o his_o rothmannus_n progymnasma_n pag._n 684._o which_o say_v that_o he_o have_v observe_v the_o polar_a altitude_n to_o vary_v and_o to_o differ_v in_o summer_n from_o what_o it_o be_v in_o winter_n and_o because_o tycho_n deny_v the_o merit_n of_o the_o cause_n but_o find_v no_o fault_n with_o the_o method_n of_o it_o that_o be_v deny_v that_o there_o be_v any_o mutation_n to_o be_v see_v in_o the_o altitude_n of_o the_o pole_n but_o do_v not_o blame_v the_o inquisition_n for_o not_o be_v adapt_v to_o the_o find_n of_o what_o be_v seek_v he_o thereby_o show_v that_o he_o also_o esteeem_v the_o polar_a altitude_n vary_v or_o not_o vary_v every_o six_o month_n to_o be_v a_o good_a testimony_n to_o disprove_v or_o infer_v the_o annual_a motion_n of_o the_o earth_n simp_n in_o truth_n salviatus_n my_o opinion_n also_o tell_v i_o
because_o the_o angle_n f_o be_v acute_a by_o reason_n that_o its_o base_a ab_fw-la be_v less_o than_o the_o diameter_n dc_o of_o the_o semicircle_n dfc_fw-mi it_o shall_v be_v place_v in_o the_o great_a portion_n of_o the_o circumscribe_v circle_n cut_v by_o the_o base_a ab_fw-la and_o because_o the_o say_v ab_fw-la be_v divide_v in_o the_o midst_n and_o at_o right_a angle_n by_o fg_n the_o centre_n of_o the_o circumscribe_v circle_n shall_v be_v in_o the_o line_n fg_v which_o let_v be_v the_o point_n i_o and_o because_o that_o of_o such_o line_n as_o be_v draw_v from_o the_o point_n g_o which_o be_v not_o the_o centre_n unto_o the_o circumference_n of_o the_o circumscribe_v circle_n the_o big_a be_v that_o which_o pass_v by_o the_o centre_n gf_n shall_v be_v big_a than_o any_o other_o that_o be_v draw_v from_o the_o point_n g_o to_o the_o circumference_n of_o the_o say_a circle_n and_o therefore_o that_o circumference_n will_v cut_v the_o line_n gh_o which_o be_v equal_a to_o the_o line_n gf_n and_o cut_v gh_a it_o will_v also_o cut_v ah_o let_v it_o cut_v it_o in_o l_o and_o conjoin_v the_o line_n lb_n these_o two_o angle_n therefore_o afb_n and_o alb_n shall_v be_v equal_a as_o be_v in_o the_o same_o portion_n of_o the_o circle_n circumscribe_v but_o alb_n external_a be_v big_a than_o the_o internal_a h_n therefore_o the_o angle_n f_o be_v big_a than_o the_o angle_n h._n and_o by_o the_o same_o method_n we_o may_v demonstrate_v the_o angle_n h_n to_o be_v big_a than_o the_o angle_n e_o because_o that_o of_o the_o circle_n describe_v about_o the_o triangle_n ahb_n the_o centre_n be_v in_o the_o perpendicular_a gf_n to_o which_o the_o line_n gh_n be_v near_a than_o the_o line_n ge_n and_o therefore_o the_o circumference_n of_o it_o cut_v ge_n and_o also_o ae_n whereupon_o the_o proposition_n be_v manifest_a we_o will_v conclude_v from_o hence_o that_o the_o difference_n of_o appearance_n which_o with_o the_o proper_a term_n of_o art_n we_o may_v call_v the_o parallax_n of_o the_o fix_a star_n be_v great_a or_o less_o according_a as_o the_o star_n observe_v be_v more_o or_o less_o adjacent_a to_o the_o pole_n of_o the_o ecliptic_a so_o that_o in_o conclusion_n of_o those_o star_n that_o be_v in_o the_o ecliptic_a itself_o the_o say_a diversity_n be_v reduce_v to_o nothing_o in_o the_o next_o place_n orb._n as_o to_o the_o earth_n accession_n by_o that_o motion_n to_o or_o recession_n from_o the_o star_n it_o appear_v to_o and_o recede_v from_o those_o that_o be_v in_o the_o ecliptic_a the_o quantity_n of_o the_o whole_a diameter_n of_o the_o grand_a orb_n as_o we_o do_v see_v even_o now_o but_o that_o accession_n or_o recession_n to_o or_o from_o the_o star_n about_o the_o pole_n of_o the_o ecliptic_a be_v almost_o nothing_o and_o in_o go_v to_o and_o from_o other_o this_o difference_n grow_v great_a according_a as_o they_o be_v near_o to_o the_o ecliptic_a we_o may_v remote_a in_o the_o three_o place_n know_v that_o the_o say_a difference_n of_o aspect_n grow_v great_a or_o lesser_a according_a as_o the_o star_n observe_v shall_v be_v near_o to_o we_o or_o far_o from_o we_o for_o if_o we_o draw_v another_o meridian_n less_o distant_a from_o the_o earth_n as_o for_o example_n this_o dfi_n in_fw-la fig._n 7._o a_o star_n place_v in_o f_o and_o see_v by_o the_o same_o ray_n afe_n the_o earth_n be_v in_o a_o will_v in_o case_n it_o shall_v be_v observe_v from_o the_o earth_n in_o b_o appear_v according_a to_o the_o ray_n bf_n and_o will_v make_v the_o angle_n of_o difference_n namely_o bfa_n big_a than_o the_o former_a aeb_fw-mi be_v the_o exterior_a angle_n of_o the_o triangle_n bfe_n sagr._fw-la with_o great_a delight_n and_o also_o benefit_n have_v i_o hear_v your_o discourse_n earth_n and_o that_o i_o may_v be_v certain_a whether_o i_o have_v right_o understand_v the_o same_o i_o shall_v give_v you_o the_o sum_n of_o the_o conclusion_n in_o a_o few_o word_n as_o i_o take_v it_o you_o have_v explain_v to_o we_o the_o different_a appearance_n that_o by_o mean_n of_o the_o earth_n annual_a motion_n may_v be_v by_o we_o observe_v in_o the_o fix_a star_n to_o be_v of_o two_o kind_n the_o one_o be_v that_o of_o their_o apparent_a magnitude_n vary_v according_a as_o we_o transport_v by_o the_o earth_n approach_n or_o recede_v from_o the_o same_o the_o other_o which_o likewise_o depend_v on_o the_o same_o accession_n and_o recession_n their_o appear_v unto_o we_o in_o the_o same_o meridian_n one_o while_n more_o elevate_v and_o another_o while_n less_o moreover_o you_o tell_v we_o and_o i_o understand_v it_o very_o well_o that_o the_o one_o and_o other_o of_o these_o mutation_n be_v not_o make_v alike_o in_o all_o the_o star_n but_o in_o some_o great_a and_o in_o other_o lesser_a and_o in_o other_o not_o at_o all_o the_o accession_n and_o recession_n whereby_o the_o same_o star_n ought_v to_o appear_v one_o while_o big_a and_o another_o while_n lesser_a be_v insensible_a and_o almost_o nothing_o in_o the_o star_n near_o unto_o the_o pole_n of_o the_o ecliptic_a but_o be_v great_a in_o the_o star_n place_v in_o the_o ecliptic_a itself_o and_o indifferent_a in_o the_o intermediate_v the_o contrary_a happen_v in_o the_o other_o difference_n that_o be_v the_o elevation_n or_o depression_n of_o the_o star_n place_v in_o the_o ecliptic_a be_v nothing_o at_o all_o great_a in_o those_o near_a to_o the_o pole_n of_o the_o say_v ecliptic_a and_o indifferent_a in_o the_o intermediate_v beside_o both_o these_o difference_n be_v more_o sensible_a in_o the_o star_n near_o to_o we_o in_o the_o more_o remote_a less_o sensible_a and_o in_o those_o that_o be_v very_o far_o distant_a whole_o disappear_v this_o be_v as_o to_o what_o concern_v myself_o it_o remain_v now_o as_o i_o conceive_v that_o something_o be_v say_v for_o the_o satisfaction_n of_o simplicius_n who_o as_o i_o believe_v will_v not_o easy_o be_v make_v to_o overpass_v those_o difference_n as_o insensible_a that_o be_v derive_v from_o a_o motion_n of_o the_o earth_n so_o vast_a and_o from_o a_o mutation_n that_o transport_v the_o earth_n into_o place_n twice_o as_o far_o distant_a from_o we_o as_o the_o sun_n simp_n truth_n be_v to_o speak_v free_o i_o be_o very_o loath_a to_o confess_v that_o the_o distance_n of_o the_o fix_a star_n ought_v to_o be_v such_o that_o in_o they_o the_o forementioned_a difference_n shall_v be_v whole_o imperceptible_a salv_n do_v not_o throw_v yourself_o into_o absolute_a despair_n simplicius_n for_o there_o may_v perhaps_o yet_o some_o qualification_n be_v find_v for_o your_o difficulty_n and_o first_o that_o the_o apparent_a magnitude_n of_o the_o star_n be_v not_o see_v to_o make_v any_o sensible_a alteration_n ought_v not_o to_o be_v judge_v by_o you_o a_o thing_n improbable_a in_o regard_n you_o see_v the_o guess_n of_o man_n in_o this_o particular_a to_o be_v so_o gross_o erroneous_a especial_o in_o look_v upon_o splendid_a object_n and_o you_o yourself_o behold_v v._n g._n a_o light_a torch_n at_o the_o distance_n of_o 200_o pace_n imperceptible_a if_o it_o approach_v near_o to_o you_o 3._o or_o 4._o yard_n do_v you_o think_v that_o it_o will_v show_v any_o whit_n increase_v in_o magnitude_n i_o for_o my_o part_n shall_v not_o perceive_v it_o certain_o although_o it_o shall_v approach_v 20._o or_o 30._o yard_n near_o nay_o it_o have_v sometime_o happen_v that_o in_o see_v such_o a_o light_n at_o that_o distance_n i_o know_v not_o how_o to_o resolve_v whether_o it_o come_v towards_o i_o or_o retreat_v from_o i_o when_o as_o it_o do_v in_o reality_n approach_v near_o to_o i_o but_o what_o need_v i_o speak_v of_o this_o if_o the_o self_n same_o accession_n and_o recession_n i_o speak_v of_o a_o distance_n twice_o as_o great_a as_o that_o from_o the_o sun_n to_o we_o in_o the_o star_n of_o saturn_n be_v almost_o total_o imperceptible_a and_o in_o jupiter_n not_o very_o observable_a what_o shall_v we_o think_v of_o the_o fix_a star_n which_o i_o believe_v you_o will_v not_o scruple_n to_o place_n twice_o as_o far_o off_o as_o saturn_n in_o mars_n which_o for_o that_o it_o be_v near_o to_o we_o simp_n pray_v sir_n put_v yourself_o to_o no_o far_a trouble_n in_o this_o particular_a for_o i_o already_o conceive_v that_o what_o have_v be_v speak_v touch_v the_o unaltered_a apparent_a magnitude_n of_o the_o fix_a star_n may_v very_o well_o come_v to_o pass_v but_o what_o shall_v we_o say_v of_o the_o other_o difficulty_n that_o proceed_v from_o not_o perceive_v any_o variation_n in_o the_o mutation_n of_o aspect_n salv_n we_o will_v say_v that_o which_o peradventure_o may_v satisfy_v you_o also_o in_o this_o particular_a and_o to_o make_v short_a will_v you_o not_o be_v satisfy_v if_o there_o shall_v be_v discover_v in_o the_o star_n
peculiar_a to_o the_o perfect_a sphere_n only_o but_o belong_v to_o all_o curve_v figure_n 185_o in_o a_o movable_a sphere_n it_o seem_v more_o reasonable_a that_o its_o centre_n be_v stable_n than_o any_o of_o its_o part_n 300_o sphere_n of_o activity_n the_o sphere_n of_o activity_n great_a in_o celestial_a body_n than_o in_o elimentary_n 59_o starry_a sphere_n weariness_n more_o to_o be_v fear_v in_o the_o starry_a sphere_n than_o in_o the_o terrestrial_a globe_n 245_o by_o the_o proportion_n of_o jupiter_n and_o of_o mars_n the_o starry_a sphere_n be_v find_v to_o be_v yet_o more_o remote_a 331_o vanity_n of_o those_o man_n discourse_n who_o argue_v the_o starry_a sphere_n to_o be_v too_o vast_a in_o the_o copernican_n hypothesis_n 335_o the_o whole_a starry_a sphere_n behold_v from_o a_o great_a distance_n may_v appear_v as_o small_a as_o one_o single_a star_n 335_o spherical_a the_o spherical_a figure_n be_v easy_a to_o be_v make_v than_o any_o other_o 186_o spherical_a figure_n of_o sundry_a magnitude_n may_v be_v make_v with_o one_o sole_a instrument_n 187_o spirit_n the_o spirit_n have_v no_o intent_n to_o teach_v we_o whether_o the_o earth_n move_v or_o stand_v still_o as_o nothing_o concern_v our_o salvation_n 436_o solar_a spot_n spot_n generate_v and_o dissolve_v in_o the_o face_n of_o the_o sun_n 38_o sundry_a opinion_n touch_v the_o solar_a spot_n 39_o a_o argument_n that_o necessary_o prove_v the_o solar_a spot_n to_o generate_v and_o dissolve_v 40_o a_o conclusive_a demonstration_n to_o prove_v that_o the_o spot_n be_v contiguous_a to_o the_o body_n of_o the_o sun_n 41_o the_o motion_n of_o the_o spot_n towards_o the_o circumcumference_n of_o the_o sun_n appear_v slow_a 41_o the_o figure_n of_o the_o spot_n towards_o the_o circumference_n of_o the_o sun_n discus_fw-la appear_v narrow_a and_o why_o 41_o the_o solar_a spot_n be_v not_o spherical_a but_o flat_o like_o thin_a plate_n 41_o the_o history_n of_o the_o proceed_n of_o the_o academian_n for_o a_o long_a time_n about_o the_o observation_n of_o the_o solar_a spot_n 312_o a_o conceit_n that_o sudden_o come_v into_o the_o mind_n of_o our_o academian_n concern_v the_o great_a consequence_n that_o follow_v upon_o the_o motion_n of_o the_o solar_a spot_n 314_o extravagant_a mutation_n to_o be_v observe_v in_o the_o motion_n of_o the_o solar_a spot_n foresee_v by_o the_o academic_a in_o case_n the_o earth_n have_v the_o annual_a motion_n 314_o the_o first_o accident_n to_o be_v observe_v in_o the_o motion_n of_o the_o solar_a spot_n and_o consequent_o all_o the_o rest_n explain_v 315_o the_o event_n be_v observe_v be_v answerable_a to_o the_o prediction_n touch_v these_o spot_n 318_o though_o the_o annual_a motion_n assign_v to_o the_o earth_n answer_v to_o the_o phaenomena_n of_o the_o solar_a spot_n yet_o do_v it_o not_o follow_v by_o conversion_n that_o from_o the_o phaenomena_n of_o the_o spot_n one_o may_v infer_v the_o annual_a motion_n to_o belong_v to_o the_o earth_n 319_o the_o pure_a peripatetic_a philosopher_n will_v laugh_v at_o the_o spot_n and_o their_o phaenomena_n as_o the_o illusion_n of_o the_o crystal_n in_o the_o telescope_n 319_o the_o solar_a spot_n of_o galileo_n 494_o star_n and_o star_n the_o star_n infinite_o surpass_v the_o rest_n of_o heaven_n in_o density_n 30_o it_o be_v no_o less_o impossible_a for_o a_o star_n to_o corrupt_v than_o the_o whole_a terrestrial_a globe_n 37_o new_a star_n discover_v in_o heaven_n 38_o the_o small_a body_n of_o a_o star_n fringe_v about_o with_o ray_n appear_v very_o much_o big_a than_o plain_a naked_a and_o in_o its_o native_a clarity_n 61_o a_o easy_a experiment_n that_o show_v the_o increase_n in_o the_o star_n by_o mean_n of_o the_o adventitious_a ray_n 305_o a_o star_n of_o the_o six_o magnitude_n suppose_v by_o tycho_n and_o scheiner_n a_o hundred_o and_o six_o million_o of_o time_n big_a than_o needs_o 326_o a_o common_a error_n of_o all_o astronomer_n touch_v the_o magnitude_n of_o the_o star_n 326_o venus_n render_v the_o error_n of_o astronomer_n in_o determine_v the_o magnitude_n of_o star_n inexcusable_a 326_o a_o way_n to_o measure_v the_o the_o apparent_a diameter_n of_o a_o star_n 327_o by_o deprive_v heaven_n of_o some_o star_n one_o may_v come_v to_o know_v what_o influence_n it_o have_v upon_o we_o 334_o enquiry_n be_v make_v what_o mutation_n and_o in_o what_o star_n be_v to_o be_v make_v by_o mean_n of_o the_o annual_a motion_n of_o the_o earth_n 342_o the_o star_n near_o to_o we_o make_v great_a diversity_n than_o the_o more_o remote_a 349_o fix_a star_n great_a disparity_n among_o the_o motion_n of_o the_o particular_a fix_a star_n if_o their_o sphere_n be_v movable_a 102_o the_o motion_n of_o the_o fix_a star_n will_v accelerate_v and_o retard_v in_o several_a time_n if_o the_o starry_a be_v movable_a 102_o the_o probable_a situation_n of_o the_o fix_a star_n 299_o suppose_v the_o annual_a motion_n of_o the_o earth_n it_o follow_v that_o one_o fix_a star_n be_v big_a than_o the_o whole_a grand_a orb_n 324_o the_o apparent_a diversity_n of_o motion_n in_o the_o planet_n be_v insensible_a in_o the_o fix_a star_n 325_o suppose_v that_o a_o fix_a star_n of_o the_o first_o magnitude_n be_v no_o big_a than_o the_o sun_n the_o diversity_n which_o be_v so_o great_a in_o the_o planet_n be_v almost_o insensible_a in_o the_o fix_a star_n 325_o the_o diameter_n of_o a_o fix_a star_n of_o the_o first_o magnitude_n and_o one_o of_o the_o six_o 325_o the_o distance_n of_o a_o fix_a star_n of_o the_o first_o magnitude_n the_o star_n be_v suppose_v to_o be_v equal_a to_o the_o sun_n 326_o in_o the_o fix_a star_n the_o diversity_n of_o aspect_n cause_v by_o the_o grand_a orb_n be_v little_o more_o than_o that_o cause_v by_o the_o earth_n in_o the_o sun_n 326_o the_o computation_n of_o the_o magnitude_n of_o the_o fix_a star_n in_o respect_n of_o the_o grand_a orb_n 326_o the_o apparent_a diameter_n of_o a_o fix_a star_n of_o the_o first_o magnitude_n not_o more_o than_o five_o second_o 328_o by_o another_o supposition_n take_v from_o astronomer_n the_o distance_n of_o the_o fix_a star_n be_v calculate_v to_o be_v 10800_o semidiameter_n of_o the_o great_a orb_n 331_o the_o place_n assign_v to_o a_o fix_a star_n be_v much_o less_o than_o that_o of_o planet_n 335_o the_o mutation_n of_o the_o fix_a star_n ought_v to_o be_v in_o some_o great_a in_o other_o lesser_a and_o in_o other_o nothing_o at_o all_o 343_o the_o grand_a difficulty_n in_o copernicus_n his_o doctrine_n be_v that_o which_o concern_v the_o phaenomena_n of_o the_o sun_n and_o fix_v star_n 343_o the_o fix_a star_n in_o the_o ecliptic_a never_o elevate_v nor_o descend_v on_o account_n of_o the_o annual_a motion_n but_o yet_o approach_n and_o recede_v 345_o the_o fix_a star_n without_o the_o ecliptic_a elevate_v more_o or_o less_o according_a to_o their_o distance_n from_o the_o ecliptic_a 347_o the_o epilogue_n to_o the_o phaenomena_n of_o the_o fix_a star_n cause_v by_o the_o annual_a motion_n of_o the_o earth_n 349_o a_o place_n accommodate_v for_o the_o observation_n of_o the_o fix_a star_n as_o to_o what_o concern_v the_o annual_a motion_n of_o the_o earth_n 352_o new_a star_n the_o great_a and_o least_o elevation_n of_o the_o new_a star_n differ_v not_o from_o each_o other_o more_o than_o the_o polar_a altitude_n the_o say_a star_n be_v in_o the_o firmament_n 255_o steel_n steel_n burnish_v behold_v from_o one_o place_n appear_v very_o bright_a and_o from_o another_o very_o obscure_a 64_o stone_n the_o stone_n fall_v from_o the_o mast_n of_o a_o ship_n light_n in_o the_o same_o place_n whether_o the_o ship_n move_v or_o stand_v still_o 126_o strength_n the_o strength_n diminish_v not_o be_v it_o not_o employ_v 244_o sun_n the_o sun_n more_o probable_o in_o the_o centre_n of_o the_o universe_n than_o the_o earth_n 21_o observation_n from_o whence_o it_o be_v collect_v that_o the_o sun_n and_o not_o the_o earth_n be_v in_o the_o centre_n of_o the_o celestial_a revolution_n 295_o the_o sun_n and_o moon_n increase_v little_a by_o irradiation_n 305_o the_o sun_n itself_o testify_v the_o annual_a motion_n to_o belong_v to_o the_o earth_n 312_o if_o the_o earth_n be_v immovable_a in_o the_o centre_n of_o the_o zodiac_n there_o must_v be_v ascribe_v to_o the_o sun_n four_o several_a motion_n as_o be_v declare_v at_o length_n 320_o the_o distance_n of_o the_o sun_n contain_v twelve_o hundred_o and_o eight_o semidiameter_n of_o the_o earth_n 325_o the_o diameter_n of_o the_o sun_n half_a a_o degree_n 325_o the_o apparent_a diameter_n of_o the_o sun_n how_o much_o it_o be_v big_a than_o that_o of_o a_o fix_v star_n 325_o a_o example_n of_o god_n care_n of_o mankind_n take_v from_o the_o sun_n 333_o a_o exquisite_a observation_n of_o the_o approach_n and_o departure_n of_o
litigious_a lawyer_n that_o be_v extertain_v in_o a_o ill_a cause_n keep_v close_o to_o s●me_v ex●ression_n fall_v from_o the_o adverse_a party_n at_o unaware_o unaware_o or_o progression_n the_o apparent_a diversity_n of_o motion_n in_o the_o planet_n be_v insensible_a in_o the_o fix_a star_n suppose_v that_o a_o fix_a star_n of_o the_o six_o magnitude_n be_v no_o big_a than_o the_o sun_n the_o diversity_n which_o be_v so_o great_a in_o the_o planet_n in_o the_o fix_a star_n be_v almost_o insensible_a the_o distance_n of_o the_o sun_n contain_v 1208_o semid_n of_o the_o earth_n earth_n the_o diameter_n of_o the_o sun_n half_o a_o degree_n the_o diameter_n of_o a_o fix_a star_n of_o the_o first_o magnitude_n and_o of_o one_o of_o the_o six_o the_o apparent_a diameter_n of_o the_o sun_n how_o much_o it_o be_v big_a than_o that_o of_o a_o fix_a star_n the_o distance_n of_o a_o fix_a star_n of_o the_o six_o magnitude_n how_o much_o it_o be_v the_o star_n be_v suppose_v to_o be_v equal_a to_o the_o sun_n in_o the_o fix_a star_n the_o diversity_n of_o aspect_n cause_v by_o the_o grand_a orb_n be_v little_o more_o than_o that_o cause_v by_o the_o earth_n in_o the_o sun_n a_o star_n of_o the_o six_o magnitude_n suppose_v by_o tycho_n and_o the_o author_n of_o the_o book_n of_o conclusion_n a_o hundred_o and_o six_o million_o of_o time_n big_a than_o needs_o the_o computation_n of_o the_o magnitude_n of_o the_o fix_a star_n in_o respect_n to_o the_o grand_a orb._n a_o common_a error_n of_o all_o the_o astronomer_n touch_v the_o magnitude_n of_o the_o star_n venus_n render_v the_o error_n of_o astronomer_n in_o determine_v the_o magnitude_n of_o star_n inexcusable_a a_o way_n to_o measure_v the_o apparent_a diameter_n of_o a_o star_n star_n render_v in_o latin_a corum_n that_o be_v to_o say_v northwest_n northwest_n i_o e._n be_v subtend_v by_o the_o diameter_n of_o a_o fix_a star_n of_o the_o first_o magnitude_n not_o more_o than_o five_o sec._n min._n the_o circle_n of_o the_o pupil_n of_o the_o eye_n enlarge_v and_o contract_v contract_v panicum_fw-la a_o small_a grain_n like_o to_o mill_n i_o take_v it_o to_o be_v the_o same_o with_o that_o call_v bird_n seed_n seed_n strisce_n how_o to_o find_v the_o distance_n of_o the_o ray_n concourse_n from_o the_o pupil_n all_o astronomer_n agree_v that_o the_o great_a magnitude_n of_o the_o orb_n be_v the_o cause_n of_o the_o tardity_n of_o the_o conversion_n by_o another_o supposition_n take_v from_o astronomer_n the_o distance_n of_o the_o fix_a star_n be_v calculate_v to_o be_v 10800_o semidiameter_n of_o the_o grand_a orb._n by_o the_o proportion_n of_o jupiter_n and_o of_o mars_n the_o starry_a sphere_n be_v find_v to_o be_v yet_o more_o remo●e_a imme●se_a magnitude_n and_o number_n be_v incomprehensible_a by_o our_o understanding_n god_n &_o nature_n do_v employ_v themselves_o in_o care_v for_o man_n as_o if_o they_o mind_v nothing_o else_o a_o example_n of_o god_n care_n of_o mankind_n take_v from_o the_o sun_n it_o be_v great_a rashness_n to_o censure_v that_o to_o be_v superfluous_a in_o h●ll_a verse_n which_o we_o do_v not_o perceive_v to_o be_v make_v for_o we_o by_o deprive_v heaven_n of_o some_o star_n one_o may_v come_v to_o know_v what_o influence_n it_o have_v upon_o we_o many_o thing_n may_v be_v in_o heaven_n that_o be_v invisible_a to_o we_o great_a small_a immense_a etc._n etc._n be_v relative_a term_n vanity_n of_o those_o man_n discourse_n who_o judge_v the_o starry_a sphere_n too_o vast_a in_o the_o copernican_n hypothesis_n hypothesis_n spelloncola_n which_o be_v here_o put_v for_o the_o lest_o of_o fish_n the_o space_n assign_v to_o a_o fix_a star_n be_v much_o less_o than_o that_o of_o a_o planet_n a_o star_n be_v call_v in_o respect_n of_o the_o space_n that_o environ_n it_o the_o whole_a starry_a sphere_n behold_v from_o a_o great_a distance_n may_v appear_v as_o small_a as_o one_o single_a star_n instance_n of_o the_o author_n of_o the_o conclusion_n by_o way_n of_o interogation_n interogation_n or_o gulf_n answer_n to_o the_o interrogatory_n of_o the_o say_a author_n the_o author_n of_o the_o conclusion_n confound_v and_o contradict_v himself_o in_o his_o interrogation_n interrogatory_n put_v to_o the_o author_n of_o the_o conclusion_n by_o which_o the_o weakness_n of_o he_o be_v make_v appear_v that_o remote_a object_n appear_v so_o small_a be_v the_o defect_n of_o the_o eye_n as_o be_v demonstrate_v tycho_n nor_o his_o follower_n ever_o attempt_v to_o see_v whether_o there_o be_v any_o appearance_n in_o the_o firmament_n for_o or_o against_o the_o annual_a m●tion_n astronomer_n perhaps_o have_v not_o know_v what_o appearance_n ought_v to_o follow_v upon_o the_o annual_a motion_n of_o the_o earth_n copernicus_n understand_v not_o some_o thing_n for_o want_n of_o instrument_n tycho_n and_o other_o argue_v against_o the_o annual_a motion_n from_o the_o invariable_a elevation_n of_o the_o pole_n pole_n christophorus_n rothmannus_n motion_n 〈◊〉_d it_o be_v common_a be_v as_o if_o it_o never_o be_v a_o example_n fit_v to_o prove_v that_o the_o altitude_n of_o the_o pole_n ought_v not_o to_o vary_v by_o mean_n of_o the_o earth_n annual_a motion_n motion_n corsia_n the_o bank_n or_o bench_n on_o which_o slave_n sit_v in_o a_o galley_n upon_o the_o annual_a motion_n of_o the_o earth_n alteration_n may_v ensue_v in_o some_o fix_a star_n not_o in_o the_o pole_n the_o equivoke_v of_o those_o who_o believe_v that_o in_o the_o annual_a motion_n great_a mutation_n be_v to_o be_v make_v about_o the_o elevation_n of_o a_o fix_a star_n be_v confute_v the_o right_a line_n and_o circumference_n of_o a_o infinite_a circle_n be_v the_o same_o thing_n enquiry_n be_v make_v what_o mutation_n &_o in_o what_o star_n be_v to_o be_v discover_v by_o mean_n of_o the_o annual_a motion_n of_o the_o earth_n astronomer_n have_v omit_v to_o instance_n what_o alteration_n those_o be_v that_o may_v be_v derive_v from_o the_o annual_a motion_n of_o the_o earth_n do_v thereby_o testify_v that_o they_o never_o right_o understand_v the_o same_o the_o mutation_n of_o the_o fix_a star_n ought_v to_o be_v in_o some_o great_a in_o other_o lesser_a and_o in_o other_o nothing_o at_o all_o all_o bandola_n that_o end_n of_o a_o skeen_n wherewith_o housewife_n fasten_v their_o hanke_n of_o yarn_n thread_n or_o silk_n the_o grand_a difficulty_n in_o copernicus_n his_o doctrine_n be_v that_o which_o concern_v the_o phaenomena_n of_o the_o sun_n and_o fix_a star_n star_n pettine_n it_o be_v the_o stay_n in_o a_o weavet_v loom_n that_o permit_v no_o knot_n or_o snarl_v to_o pass_v it_o call_v by_o they_o the_o comb_n of_o the_o loom_n aristotle_n argument_n against_o the_o ancient_n who_o hold_v that_o the_o earth_n be_v a_o planet_n the_o annual_a motion_n make_v by_o the_o centre_n of_o the_o earth_n under_o the_o ecliptic_a and_o the_o diurnal_a motion_n make_v by_o the_o earth_n about_o its_o own_o centre_n the_o axis_fw-la of_o the_o earth_n continue_v always_o parallel_v to_o itself_o and_o describe_v a_o cylindraical_a superficies_n incline_v to_o the_o grand_a orb._n the_o orb_n of_o the_o earth_n never_o incline_v but_o be_v immutable_o the_o same_o the_o fix_a star_n place_v in_o the_o ecliptic_a never_o elevate_v nor_o descend_v on_o account_n of_o the_o annual_a motion_n but_o yet_o approach_n and_o recede_v objection_n against_o the_o earth_n annual_a motion_n take_v from_o the_o fix_a star_n place_v in_o the_o ecliptic_a ecliptic_a or_o will_v prove_v of_o good_a alloy_n the_o station_n direction_n and_o retrogradation_n of_o the_o planet_n be_v know_v in_o relation_n to_o the_o fix_a star_n an_fw-mi indice_fw-la be_v the_o fix_a star_n like_o to_o that_o which_o be_v 〈◊〉_d in_o the_o planet_n be_v a_o argument_n of_o the_o earth_n annual_a motion_n the_o fix_a star_n without_o the_o ecliptic_a elevate_v and_o descend_v more_o or_o less_o according_a to_o their_o distance_n from_o the_o say_v ecliptic_a ecliptic_a i_o e._n of_o the_o ecliptic_a the_o earth_n approach_v or_o recede_v from_o the_o fix_a star_n of_o the_o ecliptic_a the_o quantity_n of_o the_o diameter_n of_o the_o grand_a orb._n the_o star_n near_o to_o we_o make_v great_a difference_n than_o the_o more_o remote_a the_o epilogue_n of_o the_o phaenomena_n of_o the_o fix_a star_n cause_v by_o the_o annual_a motion_n of_o the_o earth_n in_o object_n far_o remote_a and_o luminous_a a_o small_a approach_n or_o recession_n be_v imperceptible_a if_o in_o the_o fix_a star_n one_o shall_v discover_v any_o annual_a mutation_n the_o motion_n of_o the_o earth_n will_v be_v undeniable_a it_o be_v prove_v what_o small_a credit_n be_v to_o be_v give_v to_o astronomical_a instrument_n in_o minute_n observation_n observation_n braccia_n italian_n italian_n or_o mi●_n ptolemy_n do_v not_o trust_v to_o a_o instrument_n make_v by_o archimedes_n instrument_n
to_o put_v any_o falsehood_n upon_o you_o as_o it_o may_v have_v happen_v if_o the_o objection_n by_o i_o disguise_v and_o by_o you_o overlookt_a have_v be_v the_o same_o in_o effect_n as_o it_o seem_v to_o be_v in_o appearance_n that_o be_v real_o valid_a and_o conclusive_a but_o it_o be_v not_o so_o nay_o i_o rather_o suspect_v that_o to_o try_v i_o you_o make_v as_o if_o you_o do_v not_o see_v its_o nullity_n but_o i_o will_v herein_o be_v too_o hard_a for_o you_o and_o force_v from_o your_o tongue_n that_o which_o you_o will_v so_o artificial_o conceal_v and_o therefore_o tell_v i_o what_o that_o thing_n shall_v be_v whereby_o you_o come_v to_o know_v the_o station_n and_o retrogradation_n of_o the_o planet_n which_o be_v derive_v from_o the_o annual_a motion_n and_o which_o be_v so_o great_a that_o at_o least_o some_o footstep_n of_o such_o a_o effect_n ought_v to_o appear_v in_o the_o star_n of_o the_o ecliptic_a sagr._fw-la this_o demand_n of_o you_o contain_v two_o question_n to_o which_o it_o be_v necessary_a that_o i_o make_v reply_n the_o first_o relate_v to_o the_o imputation_n which_o you_o lay_v upon_o i_o of_o a_o dissembler_n the_o other_o concern_v that_o which_o may_v appear_v in_o the_o star_n etc._n etc._n as_o to_o the_o first_o i_o will_v say_v with_o your_o permission_n that_o it_o be_v not_o true_a that_o i_o have_v dissemble_v my_o know_v the_o nullity_n of_o that_o objection_n and_o to_o assure_v you_o of_o the_o same_o i_o now_o tell_v you_o that_o i_o very_o well_o understand_v the_o nullity_n thereof_o salv_n but_o yet_o i_o do_v not_o understand_v how_o it_o can_v be_v that_o you_o speak_v not_o friendly_a when_o you_o say_v you_o do_v not_o know_v that_o same_o fallacy_n which_o you_o now_o confess_v that_o you_o know_v very_o well_o sagr._fw-la the_o very_a confession_n of_o know_v it_o may_v assure_v you_o that_o i_o do_v not_o dissemble_v when_o i_o say_v that_o i_o do_v not_o understand_v it_o for_o if_o i_o have_v have_v a_o mind_n and_o will_v dissemble_v who_o can_v hinder_v i_o from_o continue_v in_o the_o same_o simulation_n and_o deny_v still_o that_o i_o understand_v the_o fallacy_n i_o say_v therefore_o that_o i_o understand_v not_o the_o same_o at_o that_o time_n but_o that_o i_o do_v now_o at_o this_o present_a apprehend_v it_o for_o that_o you_o have_v prompt_v my_o intellect_n first_o by_o tell_v i_o resolute_o that_o it_o be_v null_a and_o then_o by_o beginning_n to_o question_v i_o so_o at_o large_a what_o thing_n that_o may_v be_v whereby_o i_o may_v come_v to_o know_v the_o station_n and_o retrogradation_n of_o the_o planet_n star_n and_o because_o this_o be_v know_v by_o compare_v they_o with_o the_o fix_a star_n in_o relation_n to_o which_o they_o be_v see_v to_o vary_v their_o motion_n one_o while_o towards_o the_o west_n and_o another_o towards_o the_o east_n and_o sometime_o to_o abide_v immovable_a and_o because_o there_o be_v not_o any_o thing_n above_o the_o starry_a sphere_n immense_o more_o remote_a from_o we_o and_o visible_a unto_o we_o wherewith_o we_o may_v compare_v our_o fix_a star_n therefore_o we_o can_v discover_v in_o the_o fix_a star_n any_o footstep_n of_o what_o appear_v to_o we_o in_o the_o planet_n this_o i_o believe_v be_v the_o substance_n of_o that_o which_o you_o will_v force_v from_o i_o salv_n it_o be_v so_o motion_n with_o the_o addition_n moreover_o of_o your_o admirable_a ingenuity_n and_o if_o with_o half_a a_o word_n i_o do_v open_v your_o eye_n you_o by_o the_o like_a have_v remember_v i_o that_o it_o be_v not_o altogether_o impossible_a but_o that_o sometime_o or_o other_o something_o observable_a may_v be_v find_v among_o the_o fix_a star_n by_o which_o it_o may_v be_v gather_v wherein_o the_o annual_a conversion_n reside_v so_o as_o that_o they_o also_o no_o less_o than_o the_o planet_n and_o sun_n itself_o may_v appear_v in_o judgement_n to_o bear_v witness_n of_o that_o motion_n in_o favour_n of_o the_o earth_n for_o i_o do_v not_o think_v that_o the_o sta●s_n be_v spread_v in_o a_o spherical_a superficies_n equal_o remote_a from_o a_o common_a centre_n but_o hold_v that_o their_o distance_n from_o we_o be_v so_o various_a that_o some_o of_o they_o may_v be_v twice_o and_o thrice_o as_o remote_a as_o other_o so_o that_o if_o with_o the_o telescope_n one_o shall_v observe_v a_o very_a small_a star_n near_o to_o one_o of_o the_o big_a and_o which_o therefore_o be_v very_o exceed_o high_a it_o may_v happen_v that_o some_o sensible_a mutation_n may_v fall_v out_o between_o they_o correspondent_a to_o that_o of_o the_o superior_a planet_n and_o so_o much_o shall_v serve_v to_o have_v speak_v at_o this_o time_n touch_v the_o star_n place_v in_o the_o ecliptic_a ecliptic_a let_v we_o now_o come_v to_o the_o fix_a star_n place_v out_o of_o the_o ecliptic_a and_o let_v we_o suppose_v a_o great_a circle_n erect_v upon_o i._n e._n at_o right_a angle_n to_o the_o plane_n of_o the_o ecliptic_a same_o and_o let_v it_o for_o example_n be_v a_o circle_n that_o in_o the_o starry_a sphere_n answer_v to_o the_o solstitial_a colour_n and_o let_v we_o mark_v it_o ceh_n in_fw-la fig._n 8._o which_o shall_v happen_v to_o be_v withal_o a_o meridian_n and_o in_o it_o we_o will_v take_v a_o star_n without_o the_o ecliptic_a which_o let_v be_v e._n now_o this_o star_n will_v indeed_o vary_v its_o elevation_n upon_o the_o earth_n motion_n for_o from_o the_o earth_n in_o a_o it_o shall_v be_v see_v according_a to_o the_o ray_n ae_n with_o the_o elevation_n of_o the_o angle_n eac_n but_o from_o the_o earth_n place_v in_o b_o it_o shall_v be_v see_v according_a to_o the_o ray_n be_v with_o the_o elevation_n of_o the_o angle_n ebc_n big_a than_o the_o other_o eac_n that_o be_v extern_a and_o this_o intern_a and_o opposite_a in_o the_o triangle_n eab_n the_o distance_n therefore_o of_o the_o star_n e_o from_o the_o ecliptic_a shall_v appear_v change_v and_o likewise_o its_o altitude_n in_o the_o meridian_n shall_v become_v great_a in_o the_o position_n b_o than_o in_o the_o place_n a_o according_a as_o the_o angle_n ebc_n exceed_v the_o angle_n eac_n which_o excess_n be_v the_o quantity_n of_o the_o angle_n aeb_fw-mi for_o in_o the_o triangle_n eab_n the_o side_n ab_fw-la be_v continue_v to_o c_o the_o exterior_a angle_n ebc_n as_o be_v equal_a to_o the_o two_o interior_a and_o opposite_a e_o and_o a_o exceed_v the_o say_a angle_n a_o by_o the_o quantity_n of_o the_o angle_n e._n and_o if_o we_o shall_v take_v another_o star_n in_o the_o same_o meridian_n more_o remote_a from_o the_o ecliptic_a as_o for_o instance_n the_o star_n h_n the_o diversity_n in_o it_o shall_v be_v great_a by_o be_v observe_v from_o the_o two_o station_n a_o and_o b_o according_a as_o the_o angle_n ahb_n be_v great_a than_o the_o other_o e_o which_o angle_n shall_v increase_v continual_o according_a as_o the_o observe_a star_n shall_v be_v far_o and_o far_o from_o the_o ecliptic_a till_o that_o at_o last_o the_o great_a mutation_n will_v appear_v in_o that_o star_n that_o shall_v be_v place_v in_o the_o very_a pole_n of_o the_o ecliptic_a as_o for_o a_o full_a understanding_n thereof_o we_o thus_o demonstrate_v suppose_v the_o diameter_n of_o the_o grand_a orb_n to_o be_v ab_fw-la who_o centre_n in_o the_o same_o figure_n be_v g_o and_o let_v it_o be_v suppose_v to_o be_v continue_v out_o as_o far_o as_o the_o starry_a sphere_n in_o the_o point_n d_o and_o c_o and_o from_o the_o centre_n g_o let_v there_o be_v erect_v the_o axis_n of_o the_o ecliptic_a gf_n prolong_v till_o it_o arrive_v at_o the_o say_a sphere_n in_o which_o a_o meridian_n dfc_n be_v suppose_v to_o be_v describe_v that_o shall_v be_v perpendicular_a to_o the_o plane_n of_o the_o ecliptic_a and_o in_o the_o arch_a fc_n any_o point_v h_n and_o e_o be_v imagine_v to_o be_v take_v as_o place_n of_o fix_a star_n let_v the_o line_n favorina_n fb_n ah_o hg_n hb_n ae_n ge_n be_v be_v conjoin_v and_o let_v the_o angle_n of_o difference_n or_o if_o you_o will_v the_o parallax_n of_o the_o star_n place_v in_o the_o pole_n f_o be_v afb_n and_o let_v that_o of_o the_o star_n place_v in_o h_n be_v the_o angle_n ahb_n and_o let_v that_o of_o the_o star_n in_o e_o be_v the_o angle_n aeb_fw-mi i_o say_v that_o the_o angle_n of_o difference_n of_o the_o polar_a star_n f_o be_v the_o great_a and_o that_o of_o the_o rest_n those_o that_o be_v near_o to_o the_o great_a be_v big_a than_o the_o more_o remote_a that_o be_v to_o say_v that_o the_o angle_n f_o be_v big_a than_o the_o angle_n h_n and_o this_o big_a than_o the_o angle_n e._n now_o about_o the_o triangle_n fab_n let_v we_o suppose_v a_o circle_n to_o be_v describe_v and_o
fiorentini_n weariness_n more_o to_o be_v fear_v in_o the_o starry_a sphere_n than_o in_o the_o terrestrial_a globe_n some_o in_o argue_v first_o fix_n in_o their_o mind_n the_o conclusion_n believe_v by_o they_o and_o then_o adapt_v their_o reason_n to_o that_o the_o motion_n of_o the_o water_n in_o ebb_v and_o flow_v not_o interrupt_v by_o rest_n rest_n pertiche_a venetiani_n venetiani_n pertiche_a venetiani_n venetiani_n 〈◊〉_d 〈◊〉_d he_o take_v 〈◊〉_d firmament_n 〈◊〉_d the_o s●arry_a sphere_n and_o not_o as_o we_o vulgar_o receive_v the_o word_n the_o method_n observe_v by_o clar._n in_o confute_v the_o astronomer_n and_o by_o salviatus_n in_o confute_v he_o the_o great_a and_o least_o elevation_n of_o the_o new_a star_n differ_v not_o from_o each_o other_o more_o than_o the_o polar_n altitude_n the_o say_a star_n be_v in_o the_o firmnment_n firmnment_n 〈◊〉_d astronomical_a instrument_n be_v very_a subject_n to_o error_n error_n here_o the_o latin_a version_n be_v erroneous_a make_v it_o a_o forty_o part_n of_o etc._n etc._n etc._n traguardi_fw-it in_o have_v not_o be_v hitherto_o prove_v by_o any_o whether_o the_o world_n be_v finite_a or_o infinite_a the_o demonstration_n of_o aristotle_n to_o prove_v that_o the_o universe_n be_v finite_a be_v all_o nullify_v by_o deny_v it_o to_o be_v movable_a aristotle_n make_v that_o point_n to_o be_v the_o centre_n of_o the_o universe_n about_o which_o all_o the_o celestial_a sphere_n do_v revolve_v a_o question_n be_v put_v in_o case_n that_o if_o aristotle_n be_v force_v to_o receive_v one_o of_o two_o proposition_n that_o make_v against_o his_o doctrine_n which_o he_o will_v admit_v it_o be_v more_o rational_a that_o the_o orb_n contain_v and_o the_o part_n contain_v do_v move_v all_o about_o one_o centre_n than_o u●on_o divers_a if_o the_o centre_n of_o the_o world_n be_v the_o 〈…〉_z that_o about_o which_o the_o planet_n move_v the_o sun_n and_o not_o the_o earth_n be_v place_v in_o it_o observation_n from_o whence_o it_o be_v collect_v that_o the_o sun_n and_o not_o the_o earth_n be_v in_o the_o centre_n of_o the_o celestial_a revolution_n the_o mutation_n of_o figure_n in_o venus_n argue_v its_o motion_n to_o be_v about_o the_o sun_n the_o moon_n can_v separate_v from_o the_o earth_n the_o annual_a motion_n of_o the_o earth_n mix_v with_o the_o motion_n of_o the_o other_o planet_n produce_v extravagant_a appearance_n the_o systeme_n of_o the_o universe_n design_v from_o the_o appearance_n venus_n very_a great_a towards_o the_o respective_a conjunction_n and_o very_o small_a towards_o the_o maintine_n venus_n necessary_o prove_v to_o move_v about_o the_o sun_n the_o revolution_n of_o mercury_n conclude_v to_o be_v about_o the_o sun_n within_o the_o orb_n of_o venus_n mars_n necessary_o include_v within_o its_o orb_n the_o earth_n and_o also_o the_o sun_n mars_n at_o its_o opposition_n to_o the_o sun_n show_v to_o be_v sixty_o time_n big_a than_o towards_o the_o conjunction_n jupiter_n and_o saturn_n do_v likewise_o encompass_v the_o earth_n and_o the_o sun_n the_o approximation_n and_o recession_n of_o the_o three_o superior_a planet_n import_v double_a the_o sun_n distance_n the_o difference_n of_o the_o apparent_a magnitude_n less_o in_o saturn_n than_o in_o jupiter_n and●_n jupiter_n than_o in_o mars_n and_o why_o the_o moon_n orb_n inviron_v the_o earth_n but_o not_o the_o sun_n the_o probable_a situation_n of_o the_o fix_a star_n which_o ought_v to_o be_v account_v the_o sphere_n of_o the_o universe_n rest_v the_o annual_a motion_n and_o the_o diurnal_a aught_o to_o be_v distribute_v betwixt_o the_o sun_n earth_n and_o firmament_n in_o a_o movable_a sphere_n it_o seem_v more_o reasonable_a that_o its_o centre_n be_v stable_n than_o any_o other_o of_o its_o part_n grant_v to_o the_o earth_n the_o annual_a it_o must_v of_o necessity_n also_o have_v the_o diurnal_a motion_n assign_v to_o it_o discourse_n more_o than_o childish_a serve_v to_o keep_v fool_n in_o the_o opinion_n of_o the_o earth_n stability_n a_o declaration_n of_o the_o improbability_n of_o copernicus_n his_o opinion_n reason_n and_o discourse_n in_o aristarcus_n and_o copernicus_n prevail_v over_o manifest_a sense_n mars_n make_v a_o hot_a assault_n upon_o the_o copernican_a systeme_n the_o phaenomena_n of_o venus_n appear_v contrary_a to_o the_o systeme_n of_o copernicus_n another_o difficulty_n raise_v by_o venus_n against_o copernicus_n venus_n according_a to_o copernicus_n either_o lucid_n in_o itself_o or_o else_o of_o a_o transparent_a substance_n copernicus_n speak_v nothing_o of_o the_o small_a variation_n of_o bigness_n in_o venus_n and_o in_o mars_n the_o moon_n much_o disturb_v the_o order_n of_o the_o other_o planet_n answer_n to_o the_o three_o first_o objection_n against_o the_o copernican_n systeme_n the_o reason_n whence_o it_o happen_v that_o venus_n and_o mars_n do_v not_o appear_v to_o vary_v magnitude_n so_o much_o as_o be_v requisite_a the_o operation_n of_o the_o telescope_n account_v fallacy_n by_o the_o peripatetic_n shine_v object_n seem_v environ_v with_o adventitious_a ray_n the_o reason_n why_o luminous_a body_n appear_v enlarge_v much_o the_o more_o by_o how_o much_o they_o be_v lesser_a superficial_a figure_n increase_a proportion_n double_a to_o their_o line_n object_n the_o more_o vigorous_a they_o be_v in_o light_n the_o more_o they_o do_v seem_v to_o increase_v a_o easy_a experiment_n that_o show_v the_o increase_n in_o the_o star_n by_o mean_n of_o the_o adventitious_a ray_n jupiter_n augment_v less_o than_o the_o dog-star_n the_o sun_n and_o moon_n increase_v little_a it_o be_v see_v by_o manifest_a experience_n that_o the_o more_o splendid_a body_n do_v much_o more_o irradiate_a than_o the_o less_o lucid_a the_o telescope_n be_v the_o best_a mean_n to_o take_v away_o the_o irradiation_n of_o the_o star_n another_o second_o reason_n of_o the_o small_a apparent_a increase_n of_o venus_n copernicus_n persuade_v by_o reason_n contrary_a to_o sensible_a experiment_n mercury_n admit_v not_o of_o clear_a observation_n the_o difficulty_n remove_v that_o arise_v from_o the_o earth_n move_v about_o the_o sun_n not_o solitary_o but_o in_o consort_n with_o the_o moon_n the_o medicean_n star_n area_n it_o be_v four_o moon_n about_o jupiter_n the_o principal_a scope_n of_o astronomer_n be_v to_o give_v a_o reason_n of_o appearance_n copernicus_n restore_v astronomy_n upon_o the_o supposition_n of_o ptolemy_n what_o move_v copernicus_n to_o establish_v his_o systeme_n inconvenience_n that_o be_v in_o the_o systeme_n of_o ptolemy_n the_o annual_a motion_n of_o the_o earth_n most_o apt_a to_o render_v a_o reason_n of_o the_o exorbitance_n of_o the_o five_o planet_n the_o sun_n itself_o testify_v the_o annual_a motion_n to_o belong_v to_o the_o earth_n the_o lyncaean_a academic_a the_o first_o discoverer_n of_o the_o solar_a spot_n and_o all_o the_o other_o celestial_a novelty_n the_o history_n of_o the_o proceed_n of_o the_o academian_n for_o a_o long_a time_n about_o the_o observation_n of_o the_o solar_a spot_n spot_n duumviro_fw-la duumviro_fw-la this_o author_n true_a name_n be_v christopher_n scheinerus_n a_o jesuit_n and_o his_o book_n here_o mean_v be_v entitle_v apelles_n post_fw-la tabulam_fw-la tabulam_fw-la la_fw-fr mia_fw-la villa_n dell_fw-it s●lue_n a_o conceit_n that_o come_v sudden_o into_o the_o mind_n of_o the_o academian_n lyncaeus_n concern_v the_o great_a consequence_n that_o follow_v upon_o the_o motion_n of_o the_o solar_a spot_n extravagant_a mutation_n to_o be_v observe_v in_o the_o motion_n of_o the_o spot_n foresee_v by_o the_o academic_a in_o case_n the_o earth_n have_v the_o annual_a motion_n the_o first_o accident_n to_o be_v observe_v in_o the_o motion_n of_o the_o solar_a spot_n and_o consequent_o all_o the_o rest_n explain_v the_o event_n be_v observe_v be_v answerable_a to_o the_o prediction_n though_o the_o annual_a motion_n assign_v to_o the_o earth_n answerth_n to_o the_o phaenomena_n of_o the_o solar_n spot_n yet_o do_v it_o not_o follow_v by_o conversion_n that_o from_o the_o phaenomena_n of_o the_o spot_v one_o may_v infer_v the_o annual_a motion_n to_o belong_v to_o the_o earth_n the_o pure_a peripatetic_a philosopher_n will_v laugh_v at_o the_o spot_n and_o their_o phaenomena_n as_o illusion_n of_o the_o crystal_n in_o the_o telescope_n if_o the_o earth_n be_v immovable_a in_o the_o centre_n of_o the_o zodiac_n there_o must_v be_v ascribe_v to_o the_o sun_n four_o several_a motion_n as_o be_v declare_v at_o length_n length_n i_o shall_v have_v tell_v you_o that_o the_o true_a name_n of_o this_o conceal_a author_n be_v christopher_n scheinerus_n and_o its_o title_n disquisitiones_fw-la mathematica_fw-la mathematica_fw-la i_o e._n the_o ecliptic_a instance_n of_o a_o certain_a book_n ironical_o propound_v against_o copernicus_n suppose_v the_o annual_a motion_n to_o belong_v to_o the_o earth_n it_o follow_v that_o one_o fix_v star_n be_v big_a than_o the_o whole_a grand_a orb._n tycho_n his_o argument_n ground_v upon_o a_o false_a hypothesis_n