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angle_n and_o to_o so_o speak_v excrescency_n will_v corrupt_v but_o if_o we_o proceed_v to_o a_o more_o inward_a consideration_n that_o in_o those_o part_n also_o towards_o the_o angle_n there_o be_v comprise_v other_o lesser_a ball_n of_o the_o same_o matter_n and_o therefore_o they_o also_o as_o be_v round_o must_v be_v also_o incorruptible_a and_o likewise_o in_o the_o remainder_n which_o environ_v these_o eight_o lesser_a sphere_n a_o man_n may_v understand_v that_o there_o be_v other_o so_o that_o in_o the_o end_n resolve_v the_o whole_a die_n into_o innumerable_a ball_n it_o must_v necessary_o be_v grant_v incorruptible_a and_o the_o same_o discourse_n and_o resolution_n may_v be_v make_v in_o all_o other_o figure_n salv_n your_o method_n in_o make_v the_o conclusion_n for_o if_o v._n g._n a_o round_a crystal_n be_v by_o reason_n of_o its_o figure_n incorruptible_a namely_o receive_v from_o thence_o a_o facu_o of_o resist_v all_o internal_a and_o external_a alteration_n we_o 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for_o a_o long_a tract_n or_o distance_n from_o west_n to_o east_n that_o be_v according_a to_o the_o course_n of_o the_o flux_n and_o reflux_n therefore_o in_o this_o the_o agitation_n be_v very_o great_a and_o will_v be_v much_o more_o violent_a between_o hercules_n pillar_n in_o case_n the_o straight_a of_o gibraltar_n do_v open_o less_o and_o those_o of_o the_o straight_a of_o magellanes_n be_v report_v to_o be_v extraordinary_a violent_a this_o be_v what_o for_o the_o present_a come_v into_o my_o mind_n to_o say_v unto_o you_o about_o the_o cause_n of_o this_o first_o period_n diurnal_a of_o the_o tide_n and_o its_o various_a accident_n touch_v which_o if_o you_o have_v any_o thing_n to_o offer_v you_o may_v let_v we_o hear_v it_o that_o so_o we_o may_v afterward_o proceed_v to_o the_o other_o two_o period_n monthly_a and_o annual_a simp_n in_o my_o opinion_n it_o can_v be_v deny_v but_o that_o your_o discourse_n carry_v with_o it_o much_o of_o probability_n argue_v as_o we_o 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that_o to_o we_o who_o absolute_o partake_v of_o of_o they_o the_o say_a exemption_n shall_v be_v sensible_a and_o manifest_a nay_o it_o happen_v quite_o contrary_a for_o if_o you_o well_o remember_v the_o cause_n of_o the_o ebb_a and_o flow_v of_o the_o water_n assign_v by_o we_o consist_v in_o the_o water_n not_o follow_v the_o unevennesse_n of_o the_o motion_n of_o its_o vessel_n but_o retain_v the_o impetus_fw-la conceive_v before_o without_o diminish_v or_o increase_v it_o according_a to_o the_o precise_a rate_n of_o its_o diminish_n or_o increase_v in_o its_o vessel_n because_o therefore_o that_o in_o the_o conservation_n and_o retention_n of_o the_o impetus_fw-la before_o conceive_a air._n the_o disobedience_n to_o a_o new_a augmentation_n or_o diminution_n of_o motion_n consist_v that_o movable_a that_o shall_v be_v most_o apt_a for_o such_o a_o retention_n shall_v be_v also_o most_o commodious_a to_o demonstrate_v the_o effect_n that_o follow_v in_o consequence_n of_o that_o retention_n now_o how_o much_o the_o water_n be_v dispose_v to_o maintain_v such_o a_o conceive_a agitation_n though_o the_o cause_n cease_v that_o impress_n the_o same_o the_o experience_n of_o the_o sea_n extreme_o disturb_v by_o impetuous_a wind_n show_v we_o the_o billow_n of_o which_o though_o the_o air_n be_v grow_v calm_a and_o the_o wind_n lay_v for_o a_o long_a time_n after_o continue_v in_o motion_n as_o the_o sacred_a poet_n pleasant_o sing_v qual_a l'alto_n egeo_fw-la etc._n etc._n and_o that_o long_o continue_v rough_a after_o a_o storm_n motion_n depend_v on_o the_o gravity_n of_o the_o water_n for_o as_o i_o have_v elsewhere_o say_v light_a body_n be_v much_o easy_a to_o be_v move_v than_o the_o more_o grave_n but_o yet_o be_v so_o much_o the_o less_o apt_a to_o conserve_v the_o motion_n impart_v when_o once_o the_o move_a cause_n cease_v whence_o it_o come_v that_o the_o air_n as_o be_v of_o itself_o very_o light_a and_o thin_a be_v easy_o move_v by_o any_o very_a 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upon_o a_o admirable_a experiment_n i_o will_v superabundant_o satisfy_v he_o and_o confirm_v to_o sagredus_fw-la the_o mobility_n of_o the_o earth_n i_o have_v tell_v you_o that_o the_o air_n and_o in_o particular_a that_o part_n of_o it_o which_o ascend_v not_o above_o the_o top_n of_o the_o high_a mountain_n be_v carry_v round_o by_o the_o uneven_a part_n of_o the_o earth_n surface_n from_o whence_o it_o shall_v seem_v that_o it_o must_v of_o consequence_n come_v to_o pass_v that_o in_o case_n the_o superficies_n of_o the_o earth_n be_v not_o uneven_a but_o smooth_a and_o plain_a no_o cause_n will_v remain_v for_o draw_v the_o air_n along_o with_o it_o or_o at_o least_o for_o revolve_v it_o with_o so_o much_o uniformity_n now_o the_o surface_n of_o this_o our_o globe_n be_v not_o all_o craggy_a and_o rugged_a but_o there_o be_v exceed_o great_a tract_n very_o even_o to_o wit_n the_o surface_n of_o very_o vast_a sea_n which_o be_v also_o far_o remote_a from_o the_o continuate_a ledge_n of_o mountain_n which_o environ_v it_o seem_v to_o have_v no_o faculty_n of_o carry_v the_o super-ambient_a air_n along_o therewith_o and_o not_o carry_v it_o about_o we_o may_v perceive_v what_o will_v of_o consequence_n ensue_v in_o those_o place_n simp_n i_o be_v about_o to_o propose_v the_o very_a same_o difficulty_n which_o i_o think_v be_v of_o great_a validity_n salv_n you_o say_v very_o well_o simplicius_n for_o from_o the_o not_o find_v in_o the_o air_n that_o which_o of_o consequence_n will_v follow_v do_v this_o our_o globe_n move_v round_o you_o argue_v its_o immoveablenesse_n but_o in_o case_n that_o this_o which_o you_o think_v aught_o of_o necessary_a consequence_n to_o be_v find_v be_v indeed_o by_o experience_n prove_v to_o be_v so_o will_v you_o accept_v it_o for_o a_o sufficient_a testimony_n and_o a_o argument_n for_o the_o mobility_n of_o
and_o continue_v to_o divert_v 17_o 100_o the_o height_n of_o the_o river_n abate_v likewise_o 1_o 10_o and_o so_o proceed_v to_o divert_v 15_o 100_o and_o then_o 13_o 100_o and_o then_o 11_o 100_o and_o then_o 9_o 100_o and_o then_o 7_o 100_o and_o then_o 5_o 100_o and_o then_o 3_o 106_o always_o by_o each_o of_o these_o diversion_n the_o height_n of_o the_o run_v water_n diminish_v the_o ten_o part_n although_o that_o the_o diversion_n be_v so_o unequal_a reflect_v i_o say_v upon_o this_o infallible_a truth_n i_o have_v have_v a_o conceit_n that_o though_o the_o reno_n and_o other_o river_n be_v divert_v from_o the_o valley_n and_o there_o be_v only_o leave_v the_o channel_n of_o navigation_n which_o be_v only_o the_o 1_o 20_o part_n of_o the_o whole_a water_n that_o fall_v into_o the_o valley_n yet_o nevertheless_o the_o water_n in_o those_o same_o valley_n will_v retain_v a_o ten_o part_n of_o that_o height_n that_o become_v conjoin_v by_o the_o concourse_n of_o all_o the_o river_n and_o therefore_o i_o shall_v think_v that_o it_o be_v the_o best_a resolution_n to_o maintain_v the_o channel_n of_o navigation_n if_o it_o be_v possible_a continuate_a unto_o the_o po_n of_o ferrara_n and_o from_o thence_o to_o carry_v it_o into_o the_o po_n of_o volano_n for_o beside_o that_o it_o will_v be_v of_o very_o great_a ease_n in_o the_o navigation_n of_o bologna_n and_o ferrara_n the_o say_a water_n will_v render_v the_o po_n of_o volano_n navigable_a as_o far_o as_o to_o the_o very_a wall_n of_o ferrara_n and_o consequent_o the_o navigation_n will_v be_v continuate_a from_o bologna_n to_o the_o seaside_n but_o to_o manage_v this_o enterprise_n well_o it_o be_v necessary_a to_o measure_v the_o quantity_n of_o the_o water_n that_o the_o river_n discharge_v into_o the_o valley_n and_o that_o which_o the_o channel_n of_o navigation_n carry_v in_o manner_n as_o i_o have_v demonstrate_v at_o the_o begin_n of_o this_o book_n for_o this_o once_o know_v we_o shall_v also_o come_v to_o know_v how_o profitable_a this_o diversion_n of_o the_o channel_n of_o navigation_n from_o the_o valley_n be_v like_a to_o prove_v which_o yet_o will_v still_o be_v unprofitable_a if_o so_o be_v that_o all_o the_o river_n that_o discharge_v their_o water_n into_o the_o valley_n shall_v not_o first_o be_v drain_v according_a to_o what_o have_v be_v above_o advertise_v abbot_n castelli_n in_o the_o present_a consideration_n refer_v himself_o to_o the_o relation_n of_o monsig_n corsini_n ground_v upon_o the_o observation_n and_o precept_n of_o the_o say_a abbot_n as_o be_v see_v in_o the_o present_a discourse_n i_o think_v it_o convenient_a for_o the_o complete_n of_o the_o work_n of_o our_o author_n upon_o these_o subject_n to_o insert_v it_o in_o this_o place_n a_o relation_n of_o the_o water_n in_o the_o territory_n of_o bologna_n and_o ferrara_n by_o the_o right_n honourable_a and_o illustrious_a monsignore_n corsini_n a_o native_a of_o tuscany_n superintendent_n of_o the_o general_n drain_v and_o precedent_n of_o romagna_n the_o rheno_n and_o other_o brook_n of_o romagna_n be_v by_o the_o advice_n of_o p._n agostino_n spernazzati_n the_o jesuit_n towards_o the_o latter_a end_n of_o the_o time_n of_o pope_n clement_n viii_o notwithstanding_o the_o opposition_n of_o the_o bolognesi_n and_o other_o concern_v therein_o divert_v from_o their_o channel_n for_o the_o more_o commodious_a cleanse_n of_o the_o po_n of_o ferrara_n and_o of_o its_o two_o branch_n of_o primaro_n and_o volano_n in_o order_n to_o the_o introduce_v the_o water_n of_o the_o main-po_n into_o they_o to_o the_o end_n that_o their_o wont_a torrent_n be_v restore_v they_o may_v carry_v the_o muddy-water_n thence_o into_o the_o sea_n and_o restore_v to_o the_o city_n the_o navigation_n which_o be_v last_o as_o be_v manifest_a by_o the_o brief_a of_o the_o say_a pope_n clement_n direct_v to_o the_o cardinal_n san_n clemence_n bear_v date_n the_o 22._o of_o august_n 1604._o the_o work_n of_o the_o say_v cleanse_v and_o introduce_v of_o the_o say_v po_n either_o as_o be_v such_o in_o itself_o or_o by_o the_o contention_n of_o the_o cardinal_n legate_n then_o in_o these_o part_n and_o the_o jarring_n that_o happen_v betwixt_o they_o prove_v so_o difficult_a that_o after_o the_o expense_n of_o vast_a sum_n in_o the_o space_n of_o 21._o year_n there_o have_v be_v nothing_o do_v save_o the_o render_n of_o it_o the_o more_o difficult_a to_o be_v effect_v interim_n the_o torrent_n with_o their_o water_n both_o muddy_a and_o clear_a have_v damage_v the_o ground_n lie_v on_o the_o right_a hand_n of_o the_o po_n of_o argenta_n and_o the_o rheno_n those_o on_o its_o bank_n of_o which_o i_o will_v speak_v in_o the_o first_o place_n as_o of_o that_o which_o be_v of_o great_a importance_n and_o from_o which_o the_o principal_a cause_n of_o the_o mischief_n that_o result_v from_o the_o rest_n do_v proceed_v this_o rheno_n have_v overflow_v the_o lordship_n tennency_n of_o sanmartina_n in_o circumference_n about_o fourteen_o mile_n give_v it_o before_o and_o part_n of_o that_o of_o cominale_n give_v it_o afterward_o as_o it_o be_v for_o a_o receptacle_n from_o whence_o have_v depose_v the_o matter_n of_o its_o muddiness_n it_o issue_v clear_a by_o the_o mouth_n of_o masi_fw-la and_o of_o lievaloro_n into_o the_o po_n of_o primaro_n and_o of_o volano_n do_v break_v down_o the_o encompass_v bank_n or_o dam_n towards_o s._n martino_n and_o that_o of_o its_o new_a channel_n on_o the_o right_a hand_n near_o to_o torre_n del_fw-it fondo_n by_o the_o breach_n on_o this_o side_n it_o stream_v out_o in_o great_a abundance_n from_o the_o upper_a part_n of_o cominale_n and_o in_o the_o part_n about_o raveda_n pioggio_n caprara_n ghiare_fw-it di_fw-it reno_n saint_n '_o agostino_n san_n prospero_n san_n vincenzo_n and_o other_o and_o make_v they_o to_o become_v incultivable_a it_o make_v also_o those_o place_n above_o but_o little_a fruitful_a by_o reason_n of_o the_o 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the_o price_n of_o thing_n incorruptibility_n esteem_v by_o the_o vulgar_a out_o of_o their_o fear_n of_o death_n the_o disparager_n of_o corruptibility_n deserve_v to_o be_v turn_v into_o statua_n the_o celestial_a body_n design_v to_o serve_v
though_o indeed_o they_o have_v a_o influence_n upon_o the_o element_n it_o be_v requisite_a if_o you_o will_v prove_v generation_n and_o corruption_n in_o celestial_a body_n that_o you_o show_v that_o there_o reside_v contrariety_n between_o they_o sagr._fw-la see_v how_o i_o will_v find_v those_o contrariety_n between_o they_o the_o first_o fountain_n from_o whence_o you_o derive_v the_o contrariety_n of_o the_o element_n be_v the_o contrariety_n of_o their_o motion_n upward_o and_o downward_o it_o therefore_o be_v necessary_a that_o those_o principle_n be_v in_o like_a manner_n contrary_n to_o each_o other_o quality_n upon_o which_o those_o motion_n depend_v and_o because_o that_o be_v movable_a upward_o by_o lightness_n and_o this_o downward_o by_o gravity_n it_o be_v necessary_a that_o lightness_n and_o gravity_n be_v contrary_a to_o each_o other_o no_o less_o be_v we_o to_o believe_v those_o other_o principle_n to_o be_v contrary_n which_o be_v the_o cause_n that_o this_o be_v 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the_o way_n yet_o nevertheless_o like_o a_o blind_a man_n i_o see_v not_o whether_o your_o clue_n lead_v i_o nor_o can_v i_o imagine_v where_o such_o a_o journey_n will_v end_v salv_n though_o there_o be_v a_o great_a difference_n between_o my_o slow_a pack_a philosophy_n and_o your_o more_o nimble_a reason_n yet_o nevertheless_o in_o this_o particular_a which_o we_o be_v now_o upon_o i_o do_v not_o much_o wonder_n if_o the_o apprehensivenesse_n of_o your_o wit_n be_v a_o little_a obscure_v by_o the_o dark_a and_o thick_a mist_n that_o hide_v the_o mark_n at_o which_o we_o aim_v and_o that_o which_o lessen_v my_o admiration_n be_v the_o remembrance_n of_o the_o many_o hour_n many_o day_n yea_o more_o many_o night_n that_o i_o have_v consume_v in_o this_o contemplation_n and_o of_o the_o many_o time_n that_o despair_v to_o bring_v it_o to_o a_o period_n i_o have_v for_o a_o encouragement_n of_o myself_o
double_a to_o their_o line_n 304_o flexure_n the_o necessity_n and_o use_n of_o flexure_n in_o animal_n for_o vary_v of_o their_o motion_n 232_o foscarini_n foscarini_n his_o reconcile_n of_o scripture_n text_n with_o the_o copernican_n hypothesis_n 473_o g_o generability_n generability_n and_o corruptibility_n be_v only_o among_o contrary_n according_a to_o arist._n 26_o generability_n and_o alterability_n be_v great_a perfection_n in_o mundane_a body_n than_o the_o contrary_a quality_n 44_o geometrical_a and_o geometry_n geometrical_a demonstration_n of_o the_o triple_a dimension_n 4_o geometrical_a exactness_n needless_a in_o physical_a proof_n 6_o aristotle_n tax_v plato_n for_o be_v too_o studious_a of_o geometry_n 334_o peripatetic_a philosopher_n condemn_v the_o study_n of_o geometry_n and_o why_o 461_o gilbert_n the_o magnetic_a philosophy_n of_o will-gilbert_n 364_o the_o method_n of_o gilbert_n in_o his_o philosophy_n 367_o globe_n our_o globe_n will_v have_v be_v call_v 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heaven_n that_o be_v invisible_a to_o we_o 334_o there_o be_v more_o document_n in_o the_o open_a book_n of_o heaven_n than_o vulgar_a wit_n be_v able_a to_o penetrate_v 444_o heaven_n and_o earth_n ever_o mutual_o oppose_v to_o each_o other_o 480_o which_o be_v real_o the_o great_a light_n in_o heaven_n and_o which_o the_o lesser_a 484_o heaven_n be_v not_o compose_v of_o a_o five_o essence_n differ_v from_o the_o matter_n of_o inferior_a body_n 494_o heaven_n be_v no_o solid_a or_o dense_n body_n but_o rare_a 494_o christ_n at_o his_o incarnation_n true_o descend_v from_o heaven_n and_o at_o his_o ascension_n true_o ascend_v into_o heaven_n 496_o of_o the_o first_o second_o and_o three_o heaven_n 497_o heaven_n in_o the_o sense_n of_o copernicus_n be_v the_o same_o with_o the_o most_o tenuous_a aether_n but_o different_a from_o paradise_n which_o excel_v all_o the_o heaven_n 499_o hell_n hell_n be_v in_o the_o centre_n of_o the_o earth_n not_o of_o the_o world_n 480_o helix_fw-la the_o helix_fw-la about_o the_o cylinder_n may_v be_v say_v to_o be_v a_o simple_a line_n 7_o hypothesis_n the_o true_a hypothesis_n may_v dispatch_v its_o revolution_n in_o a_o short_a time_n in_o lesser_a circle_n than_o in_o great_a the_o which_o be_v prove_v by_o two_o example_n 410_o i_o jest_v a_o jest_n put_v upon_o one_o that_o offer_v to_o sell_v a_o certain_a secret_n of_o hold_v correspondence_n at_o a_o thousand_o miles_n distance_n 79_o a_o jest_n of_o a_o certain_a statuary_n 94_o impossibility_n and_o impossibility_n nature_n attempt_v not_o impossibility_n 10_o to_o seek_v what_o will_v follow_v upon_o a_o impossibility_n be_v folly_n 22_o incorruptibility_n incorruptibility_n esteem_v by_o the_o vulgar_a out_o of_o their_o fear_n of_o death_n 45_o infinity_o of_o infinity_o the_o part_n be_v not_o one_o great_a than_o another_o although_o they_o be_v comparative_o unequal_a 106_o instrument_n and_o instrument_n instrument_n astronomical_a very_a subject_n to_o error_n 262_o copernicus_n understand_v not_o some_o thing_n for_o want_n of_o instrument_n 338_o a_o proof_n of_o the_o small_a credit_n that_o be_v to_o be_v give_v to_o astronomical_a instrument_n in_o minute_n observation_n 351_o ptolemy_n do_v not_o confide_v in_o a_o instrument_n make_v by_o archimedes_n 352_o instrument_n of_o tycho_n make_v with_o great_a expense_n 352_o what_o instrument_n be_v most_o apt_a for_o exact_a observation_n 352_o inventor_n the_o first_o inventor_n and_o observer_n of_o thing_n ought_v to_o be_v admire_v 370_o joshuah_n the_o miracle_n of_o joshuah_n in_o command_v the_o sun_n to_o stand_v still_o contradict_v the_o ptolomaick_a system_n 456_o joshuahs_n miracle_n admirable_o agree_v with_o the_o pythagorick_a systeme_n 457_o iron_n it_o be_v prove_v that_o iron_n consist_v of_o part_n more_o subtle_a pure_a and_o compact_a than_o the_o magnet_n 370_o jupiter_n jupiter_n and_o saturn_n do_v encompass_v the_o earth_n and_o the_o sun_n 258_o jupiter_n augment_v less_o by_o irradiation_n than_o the_o dog-star_n 305_o k_o kepler_n the_o argument_n of_o kepler_n in_o favour_n of_o copernicus_n 242_o a_o explanation_n of_o the_o true_a sense_n of_o kepler_n and_o his_o defence_n 243_o the_o feign_a answer_n of_o kepler_n couch_v in_o a_o artificial_a irony_n 244_o kepler_n be_v with_o respect_n blame_v 422_o kepler_n reconcile_n of_o scripture_n text_n which_o the_o copernican_n hypothesis_n 461_o know_v etc._n etc._n the_o have_v a_o perfect_a knowledge_n of_o nothing_o make_v some_o believe_v they_o understand_v all_o thing_n 84_o god_n manner_n of_o know_v different_a from_o that_o of_o man._n 87_o the_o great_a felicity_n for_o which_o they_o be_v to_o be_v envy_v who_o persuade_v themselves_o that_o they_o know_v every_o thing_n 164_o our_o knowledge_n be_v a_o kind_n of_o reminiscence_n according_a to_o plato_n 169_o l_o light_n light_o reflect_v from_o the_o earth_n into_o the_o moon_n 52_o the_o reflex_n light_n of_o uneven_a body_n be_v more_o universal_a than_o that_o of_o the_o smooth_a and_o why_o 62_o the_o more_o rough_a superficies_n make_v great_a reflection_n of_o light_n than_o the_o less_o rough_a 65_o perpendicular_a ray_n of_o light_n illuminate_v more_o than_o the_o oblique_a and_o why_o 65_o the_o more_o oblique_a ray_n of_o light_n illuminate_v less_o and_o why_o 65_o light_n or_o luminous_a body_n appear_v the_o bright_a in_o a_o obscure_a ambient_fw-la 74_o line_n 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 342_o lawyer_n contentious_a lawyer_n that_o be_v retain_v in_o a_o ill_a cause_n keep_v close_o to_o some_o expression_n fall_v from_o the_o adverse_a party_n at_o unaware_o 324_o looking-glass_n flat_a looking-glass_n cast_v forth_o their_o reflection_n towards_o but_o one_o place_n but_o the_o spherical_a every_o way_n 39_o lyncean_a the_o lyncean_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 312_o the_o history_n of_o his_o proceed_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 m_o magnet_n many_o property_n in_o the_o magnet_n 367_o the_o magnet_n arm_v take_v up_o more_o iron_n than_o when_o unarm_v 369_o the_o true_a cause_n of_o the_o multiplication_n of_o virtue_n in_o the_o magnet_n by_o mean_n of_o the_o arm_v 370_o a_o sensible_a proof_n of_o the_o impurity_n of_o the_o magnet_n 371_o the_o several_a natural_a motion_n of_o the_o magnet_n 374_o philosopher_n be_v force_v to_o confess_v that_o the_o magnet_n be_v compound_v of_o celestial_a substance_n and_o of_o elementary_a 375_o the_o error_n of_o those_o who_o call_v the_o magnet_n a_o mix_a body_n and_o the_o terrestrial_a globe_n a_o simple_a body_n 375_o a_o improbable_a effect_n admire_v by_o gilbertus_n in_o the_o magnet_n 376_o magnetic_a philosophy_n the_o magnetic_a philosophy_n of_o william_n gilbert_n 364_o magnitude_n the_o magnitude_n of_o the_o orb_n and_o the_o velocity_n of_o the_o motion_n of_o planet_n
move_v with_o a_o absolute_a motion_n but_o per_fw-la accidens_fw-la 491_o animal_n motion_n the_o diversity_n of_o the_o motion_n of_o animal_n depend_v on_o their_o flexure_n 232_o the_o flexure_n in_o animal_n be_v not_o make_v for_o vary_v of_o their_o motion_n 232_o the_o motion_n of_o animal_n be_v of_o one_o sort_n 232_o the_o motion_n of_o animal_n be_v all_o circular_a 233_o secondary_a motion_n of_o animal_n dependent_a on_o the_o first_o 233_o animal_n will_v not_o grow_v weary_a of_o their_o motion_n proceed_v as_o that_o which_o be_v assign_v to_o the_o terrestrial_a globe_n 244_o the_o cause_n of_o the_o weariness_n that_o attend_v the_o motion_n of_o animal_n 244_o the_o motion_n of_o a_o animal_n be_v rather_o to_o be_v call_v violent_a than_o natural_a 244_o annual_a motion_n the_o annual_a motion_n of_o the_o earth_n must_v cause_v a_o constant_a and_o strong_a wind_n 228_o the_o error_n of_o the_o antagonist_n of_o copernicus_n be_v manifest_a in_o that_o he_o 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ascribe_v to_o the_o part_n
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whatsoever_o in_o like_a manner_n will_v he_o have_v answer_v if_o any_o one_o have_v start_v a_o question_n about_o the_o sun_n mobility_n and_o the_o earth_n motion_n but_o god_n easy_o understand_v by_o joshuahs_n word_n what_o he_o ask_v for_o and_o by_o arrest_v the_o earth_n motion_n make_v the_o sun_n in_o his_o apprehension_n seem_v to_o stand_v still_o for_o the_o sum_n of_o joshuahs_n prayer_n amount_v to_o no_o more_o but_o this_o that_o it_o may_v thus_o appear_v to_o he_o let_v it_o in_o the_o mean_a time_n be_v what_o it_o will_v of_o itself_o for_o that_o it_o be_v so_o seem_v be_v not_o in_o vain_a and_o ridiculous_a but_o accompany_v with_o the_o desire_a effect_n but_o read_v the_o ten_o chap._n of_o my_o book_n that_o treat_v of_o the_o optic_a part_n of_o astronomy_n where_o thou_o shall_v find_v the_o reason_n why_o the_o sun_n do_v in_o this_o manner_n seem_v to_o all_o man_n think_v to_o
medium_n belong_v to_o heaven_n which_o be_v neither_o grave_a nor_o light_n for_o all_o this_o philosophy_n be_v now_o forsake_v and_o of_o itself_o grow_v into_o disesteem_n for_o though_o it_o be_v receive_v for_o a_o unquestionable_a truth_n in_o this_o new_a opinion_n that_o to_o a_o simple_a body_n appertain_v one_o only_a simple_a motion_n coelest_n yet_o it_o grant_v no_o motion_n but_o what_o be_v circular_a by_o which_o alone_o a_o simple_a body_n be_v conserve_v in_o its_o natural_a place_n and_o subsist_v in_o its_o unity_n body_n and_o be_v proper_o say_v to_o move_v in_o loco_fw-la in_o a_o place_n whereby_o it_o come_v to_o pass_v that_o a_o body_n for_o this_o reason_n do_v continue_v to_o move_v in_o itself_o or_o about_o its_o own_o axis_fw-la and_o although_o it_o have_v a_o motion_n yet_o it_o abide_v still_o in_o the_o same_o place_n as_o if_o it_o be_v perpetual_o immovable_a but_o right_a motion_n which_o be_v proper_o ad_fw-la locum_fw-la to_o a_o place_n can_v be_v ascribe_v only_o to_o those_o thing_n which_o be_v out_o of_o their_o natural_a place_n be_v far_o from_o union_n with_o one_o another_o and_o from_o unity_n with_o their_o whole_a yea_o that_o be_v separate_v and_o divide_v from_o it_o which_o be_v that_o it_o be_v contrary_a to_o the_o nature_n and_o form_n of_o the_o universe_n place_n it_o necessary_o follow_v that_o right_a motion_n do_v in_o short_a suit_n with_o those_o thing_n which_o be_v destitute_a of_o that_o perfection_n that_o according_a to_o their_o proper_a nature_n belong_v to_o they_o and_o which_o by_o this_o same_o right_a motion_n they_o labour_v to_o obtain_v until_o they_o be_v redintigrate_v with_o their_o whole_a and_o with_o one_o another_o and_o restore_v to_o their_o natural_a place_n in_o which_o at_o the_o length_n have_v obtain_v their_o perfection_n they_o settle_v and_o remain_v immovable_a simple_a therefore_o in_o right_a motion_n there_o can_v be_v no_o uniformity_n nor_o simplicity_n for_o that_o they_o vary_v by_o reason_n of_o the_o uncertain_a levity_n or_o gravity_n of_o their_o respective_a body_n for_o which_o cause_n they_o do_v not_o persevere_v in_o the_o same_o velocity_n or_o tardity_n to_o the_o end_n which_o they_o have_v in_o the_o beginning_n hence_o we_o see_v that_o those_o thing_n who_o weight_n make_v they_o tend_v downward_o do_v descend_v at_o first_o with_o a_o slow_a motion_n but_o afterward_o as_o they_o approach_v near_o and_o near_o to_o the_o centre_n they_o precipitate_v more_o and_o more_o swift_o and_o on_o the_o otherside_n those_o thing_n which_o by_o reason_n of_o their_o lightness_n be_v carry_v upward_o as_o this_o our_o terrestrial_a fire_n which_o be_v nothing_o else_o but_o a_o smoke_n that_o burn_v and_o be_v enkindle_v into_o a_o flame_n be_v no_o soon_o ascend_v on_o high_a but_o in_o almost_o the_o selfsame_a moment_n they_o fly_v and_o vanish_v out_o of_o sight_n by_o reason_n of_o the_o rare-faction_n and_o extension_n that_o they_o as_o soon_o as_o they_o acquire_v be_v free_v from_o those_o bond_n which_o violent_o and_o against_o their_o own_o nature_n keep_v they_o under_o circular_a and_o detain_v they_o here_o below_o for_o which_o reason_n it_o be_v very_o apparent_a that_o no_o right_a motion_n can_v be_v call_v simple_a not_o only_o in_o regard_n that_o as_o have_v be_v say_v it_o be_v not_o aequabilis_fw-la even_o and_o uniform_a but_o also_o because_o it_o be_v mix_v with_o the_o circular_a which_o lurk_v in_o the_o right_n by_o a_o occult_a consent_n scilicet_fw-la by_o reason_n of_o the_o natural_a affection_n of_o the_o part_n to_o conform_v unto_o their_o whole_a for_o when_o the_o whole_a move_v circular_o it_o be_v requisite_a likewith_o that_o the_o part_n to_o the_o end_n that_o they_o may_v be_v unite_v to_o their_o whole_a howbeit_o per_fw-la accidens_fw-la they_o be_v sometime_o move_v with_o a_o right_a motion_n do_v move_v though_o not_o so_o apparent_o with_o a_o circular_a motion_n as_o do_v their_o whole_a and_o thus_o at_o length_n we_o have_v envince_v that_o circular_a motion_n only_o be_v simple_a uniform_a and_o perpetual_a aequable_v and_o of_o the_o same_o tenor_n or_o rate_n for_o that_o it_o be_v never_o destitute_a of_o its_o intern_a cause_n whereas_o on_o the_o contrary_a right_a motion_n which_o pertain_v to_o thing_n both_o heavy_a and_o light_a have_v a_o cause_n that_o be_v imperfect_a and_o deficient_a yea_o that_o arise_v from_o defect_n itself_o and_o that_o tend_v to_o and_o seek_v after_o nothing_o else_o but_o the_o end_n and_o termination_n of_o itself_o in_o regard_n that_o grave_a and_o light_a body_n when_o once_o they_o have_v attain_v their_o proper_a and_o natural_a place_n do_v desist_v from_o that_o motion_n to_o which_o they_o be_v incite_v by_o levity_n and_o gravity_n part_n therefore_o since_o circular_a motion_n be_v proper_a to_o the_o whole_a and_o right_a motion_n to_o the_o part_n these_o difference_n be_v not_o right_o refer_v to_o motion_n so_o as_o to_o call_v one_o motion_n right_o another_o circular_a as_o if_o they_o be_v not_o consistent_a with_o one_o another_o body_n for_o they_o may_v be_v both_o together_o and_o that_o naturally_n in_o the_o same_o body_n no_o less_o than_o it_o be_v equal_o natural_a for_o a_o man_n to_o participate_v of_o sense_n and_o reason_n see_v that_o these_o difference_n be_v not_o direct_o opposite_a to_o one_o another_o hereupon_o rest_v and_o immobility_n only_o be_v oppose_v to_o motion_n and_o not_o one_o species_n of_o motion_n to_o another_o and_o for_o the_o other_o difference_n à _fw-la medio_fw-la ad_fw-la medium_n and_o circa_fw-la medium_n they_o be_v distinguish_v not_o real_o but_o only_o formal_o as_o the_o point_n line_n and_o superficies_n none_o of_o which_o can_v be_v without_o the_o other_o two_o or_o without_o a_o body_n hence_o it_o appear_v that_o in_o as_o much_o as_o this_o philosophy_n differ_v from_o that_o of_o aristotle_n so_o in_o like_a manner_n do_v this_o new_a cosmographical_a system_n vary_v from_o the_o common_a one_o that_o have_v be_v hitherto_o receive_v but_o this_o by_o the_o way_n upon_o occasion_n of_o explain_v the_o five_o maxim_n for_o as_o to_o the_o truth_n or_o falsehood_n of_o these_o forego_v position_n although_o i_o conceive_v they_o very_o probable_a i_o be_o resolve_v to_o determine_v nothing_o at_o present_a neither_o shall_v i_o make_v any_o far_a enquiry_n into_o they_o the_o six_o and_o last_o maxim_n be_v this_o every_o thing_n be_v simple_o denominate_v such_o as_o it_o be_v in_o comparison_n of_o all_o thing_n or_o of_o many_o thing_n which_o make_v the_o great_a number_n of_o that_o kind_n but_o not_o in_o respect_n of_o a_o few_o which_o make_v but_o the_o lesser_a part_n of_o they_o as_o for_o instance_n a_o vessel_n shall_v not_o be_v call_v absolute_o great_a because_o it_o be_v so_o whilst_o it_o be_v compare_v with_o two_o or_o three_o other_o but_o it_o shall_v be_v say_v to_o be_v great_a absolute_o and_o will_v be_v so_o if_o it_o exceed_v in_o magnitude_n all_o indivial_n or_o the_o great_a part_n of_o they_o nor_o again_o shall_v a_o man_n be_v say_v to_o be_v absolute_o big_a because_o he_o be_v big_a than_o a_o pigmy_n nor_o yet_o absolute_o little_a because_o less_o than_o a_o giant_n but_o he_o shall_v be_v term_v absolute_o big_a or_o little_a in_o comparison_n of_o the_o ordinary_a stature_n of_o the_o great_a part_n of_o men._n thus_o the_o earth_n can_v absolute_o be_v say_v to_o be_v high_a or_o low_a for_o that_o it_o be_v find_v to_o be_v so_o in_o respect_n of_o some_o small_a part_n of_o the_o universe_n nor_o again_o shall_v it_o be_v absolute_o affirm_v to_o be_v high_a be_v compare_v to_o the_o centre_n of_o the_o world_n or_o some_o few_o part_n of_o the_o universe_n more_o near_o to_o the_o say_a centre_n as_o be_v the_o sun_n mercury_n or_o venus_n but_o it_o shall_v receive_v its_o absolute_a denomination_n according_a as_o it_o shall_v be_v find_v to_o be_v in_o comparison_n of_o the_o great_a number_n of_o the_o sphere_n and_o body_n of_o the_o universe_n world_n the_o earth_n therefore_o in_o comparison_n of_o the_o whole_a circuit_n of_o the_o eight_o sphere_n which_o include_v all_o corporeal_a creature_n and_o in_o comparison_n of_o jupiter_n mars_n and_o saturn_n together_o with_o the_o moon_n and_o much_o more_o in_o comparison_n of_o other_o body_n if_o any_o such_o there_o be_v above_o the_o eight_o sphere_n and_o especial_o the_o empyrial_a heaven_n may_v be_v true_o say_v to_o be_v in_o the_o low_a place_n of_o the_o world_n and_o almost_o in_o the_o centre_n of_o it_o nor_o can_v it_o he_o say_v to_o be_v above_o any_o of_o they_o except_o the_o sun_n mercury_n and_o venus_n so_o that_o one_o may_v apply_v unto_o it_o the_o name_n of_o a_o infime_v and_o low_a but_o
by_o the_o addition_n of_o new_a water_n to_o that_o which_o it_o discharge_v after_o the_o increase_n be_v make_v proposition_n iu._n theor._n ii_o 54_o proportion_n of_o a_o river_n when_o highâ—â—_n to_o itself_o when_o low_o coral_n i._o 55_o q_o quantity_n of_o run_v water_n be_v never_o certain_a if_o with_o the_o vulgar_a way_n of_o measure_v they_o their_o velocity_n be_v not_o consider_v 32_o quantity_n of_o water_n which_o be_v discharge_v by_o a_o river_n answer_v in_o equality_n to_o the_o velocity_n and_o time_n in_o which_o they_o be_v discharge_v axiom_n i_o two_o iii_o 38_o quick-height_n of_o a_o river_n what_o it_o be_v definition_n v._n 48_o r_o reason_n of_o the_o proverb_n take_v heed_n of_o the_o still_a water_n coral_n vi_o 7_o reason_n of_o monsignore_n corsini_n against_o the_o diversion_n of_o reno_n into_o the_o po_n of_o volano_n 105_o reason_n of_o cardinal_n capponi_n and_o monsig_n corsini_n for_o the_o turn_n of_o reno_n into_o main_n po._n 106_o two_o objection_n on_o the_o contrary_a and_o answer_n to_o they_o 104_o &_o 105_o what_o ought_v to_o be_v the_o proportion_n of_o the_o height_n of_o reno_n in_o reno_n and_o of_o reno_n in_o po._n 110_o regulator_n what_o it_o be_v definition_n iu_o 48_o relation_n of_o the_o water_n of_o bologna_n and_o ferrara_n by_o monsignore_n corsini_n 100_o reno_n in_o the_o valley_n and_o its_o bad_a effect_n 100_o 101_o two_o way_n to_o divert_v it_o 103_o the_o facility_n and_o utility_n of_o those_o way_n ibid._n the_o difficulty_n object_v 104_o reply_n to_o bartolotti_n touch_v the_o danger_n of_o turn_a eiume_n morto_n into_o serchio_n 83_o retardment_n of_o the_o course_n of_o a_o river_n cause_v by_o its_o bank_n appendix_n vii_o 19_o rise_n make_v by_o floodgate_n but_o small_a appendix_n xiii_o 26_o river_n that_o be_v shallow_a swell_v much_o upon_o small_a shower_n such_o as_o be_v deep_o rise_v but_o little_a upon_o great_a flood_n corollary_n iii_o 6_o river_n the_o high_o they_o be_v the_o swift_a ibid._n rivers_z the_o high_o they_o be_v the_o less_o they_o increase_v upon_o flood_n 49_o river_n when_o they_o be_v to_o have_v equal_a and_o when_o like_a velocity_n ibid._n river_n in_o fall_v into_o the_o sea_n form_n a_o shelf_n of_o sand_n call_v cavallo_n 65_o five_o river_n to_o be_v divert_v from_o the_o lake_n of_o venice_n and_o the_o inconvenience_n that_o will_v ensue_v thereupon_o 74_o 75_o a_o river_n of_o quick-height_n and_o velocity_n in_o its_o regulator_n be_v give_v if_o the_o height_n be_v redouble_v by_o new_a water_n it_o redouble_v also_o in_o velocity_n proposition_n ii_o theorem_fw-la i_o 51_o keep_v the_o proportion_n of_o the_o height_n to_o the_o velocity_n corollary_n 52_o saint_n sand_n and_o mud_n that_o enter_v into_o the_o lake_n of_o venice_n and_o the_o way_n to_o examine_v it_o 76_o sea_n agitate_a and_o drive_v by_o the_o wind_n stop_v up_o the_o port_n 64_o 65_o section_n of_o a_o river_n what_o they_o be_v definition_n i._n 37_o section_n equal_o swift_a what_o they_o be_v definition_n ii_o ibid._n section_n of_o a_o river_n be_v give_v to_o conceive_v other_o equal_v to_o they_o of_o different_a breadth_n height_n and_o velocity_n petition_n 38_o section_n of_o the_o same_o river_n and_o their_o proportion_n to_o their_o velocity_n coral_n i._o 42_o section_n of_o a_o river_n discharge_v in_o any_o whatsoever_o place_n of_o the_o say_a river_n equal_a quantity_n of_o water_n in_o equal_a time_n proposition_n i._n 39_o sile_z river_n what_o mischief_n it_o threaten_v divert_v from_o the_o lake_n 74_o spirting_n of_o water_n grow_v big_a the_o high_o they_o go_v coral_n xvi_o 16_o stream_n of_o river_n how_o they_o increase_v and_o vary_v coral_n i._o 6_o stream_n retard_v and_o the_o effect_n thereof_o coral_n ix_o 8_o t_o table_n of_o the_o height_n addition_n and_o quantity_n of_o water_n and_o its_o use_n 56_o thrasimenus_n vide_fw-la lake_n time_n how_o it_o be_v measure_v in_o these_o operation_n of_o the_o water_n 49_o torrent_n increase_v at_o the_o increase_n of_o a_o river_n though_o they_o carry_v no_o more_o water_n than_o before_o coral_n iv._o 6_o torrent_n when_o they_o depose_v and_o carry_v away_o the_o sand._n coral_n v._o 7_o torrent_n and_o their_o effect_n in_o a_o river_n 6_o 7_o torrent_n that_o fall_v into_o the_o valley_n or_o into_o po_n of_o valano_n and_o their_o mischief_n prevent_v by_o the_o divert_v of_o reno_n into_o main_n po._n 100_o tiber_n and_o the_o cause_n of_o its_o inundation_n coral_n viii_o 8_o five_o valley_n of_o bologna_n and_o ferrara_n their_o inundation_n and_o disorder_n whence_o they_o proceed_v 97_o velocity_n of_o the_o water_n show_v by_o several_a example_n 3_o its_o proportion_n to_o the_o measure_n 5_o velocity_n equal_a what_o they_o be_v 47_o velocity_n like_a what_o they_o be_v 47_o 48_o velocity_n of_o water_n know_v how_o they_o help_v we_o in_o find_v the_o length_n 113_o a_o fable_n to_o explain_v the_o truth_n thereof_o ibid._n venice_n vide_fw-la lake_n use_v of_o the_o regulator_n in_o measure_v great_a river_n consideration_n i._n 60_o w_n water_n fall_v why_o they_o disgross_v coral_n xvi_o 16_o water_n how_o the_o length_n of_o they_o be_v measure_v 70_o water_n that_o be_v employ_v to_o flow_v ground_n how_o they_o be_v to_o be_v distribute_v 19_o 53_o 54_o water_n to_o be_v carry_v in_o pipe_n to_o serve_v aquaduct_n and_o conduit_n how_o they_o be_v to_o be_v measure_v 15_o 116_o way_n to_o know_v the_o rise_n of_o lake_n by_o raines_n 28_o way_n of_o the_o vulgar_a to_o measure_v the_o water_n of_o rivers_n 68_o wind_n gun_n and_o portable_a fountain_n of_o vincenzo_n vincenti_fw-la of_o urbino_n 11_o wind_n contrary_a retard_v and_o make_v river_n increase_v coral_n vii_o 8_o the_o end_n of_o the_o table_n of_o the_o second_o part_n of_o the_o first_o tome_n copernicus_n repute_v the_o earth_n a_o globe_n like_a to_o a_o planet_n celestial_a substance_n that_o be_v in_o alterable_a and_o elementary_a that_o be_v alterable_a be_v necessary_a in_o the_o opinion_n of_o aristotle_n aristotle_n make_v the_o world_n perfect_a because_o it_o have_v the_o threefold_a dimension_n aristotle_n demonstration_n to_o prove_v the_o dimension_n to_o be_v three_o and_o no_o more_o the_o number_n three_o celebrate_v among_o the_o pythagorian_n omne_fw-la totum_fw-la &_o perfectum_fw-la or_o solid_a plato_n hold_v that_o humane_a understanding_n partake_v of_o divinity_n because_o it_o understand_v number_n the_o mystery_n of_o pythagorick_a number_n fabulous_a de_fw-fr papyrio_fw-la pâ—aetextato_fw-la gellius_n 1._o 2._o 3._o a_o geometrical_a demonstration_n of_o the_o triple_a dimension_n in_o physical_a proof_n geometrical_a exactness_n be_v not_o necessary_a part_n of_o the_o world_n be_v two_o according_a to_o aristotle_n celestial_a and_o elementary_a contrary_n to_o one_o another_o local_a motion_n of_o three_o kind_n right_a circular_a &_o mix_v circular_a and_o straight_a motion_n be_v simple_a as_o proceed_v by_o simple_a line_n ad_fw-la medium_n à _fw-fr 〈◊〉_d &_o circa_fw-la medium_n the_o definition_n of_o nature_n either_o imperfect_a or_o unseasonable_a produce_v by_o aristotle_n the_o helix_fw-la about_o the_o cylinder_n may_v be_v say_v to_o be_v a_o simple_a line_n aristotle_n accommodate_v the_o rule_n of_o architecture_n to_o the_o frame_n of_o the_o world_n and_o not_o the_o frame_n to_o the_o rule_n right_o motion_n sometime_o simple_a and_o sometime_o mix_v according_a to_o arist._n the_o circular_a line_n perfect_a according_a to_o aristotle_n and_o but_o the_o right_n imperfect_a and_o why_o the_o world_n be_v suppose_v by_o the_o author_n to_o be_v perfect_o ordinate_a straight_o motion_n impossible_a in_o the_o world_n exact_o ordinate_a right_o motion_n nature_n infinite_a motion_n by_o a_o right_a line_n natural_o impossible_a nature_n attempt_v not_o thing_n impossible_a to_o be_v effect_v right_o motion_n may_v perhaps_o be_v in_o thâ—_n first_o chaos_n right_o motion_n be_v commodious_a to_o range_v in_o order_n thing_n out_o of_o order_n mundane_a body_n move_v in_o the_o begin_n in_o a_o right_a line_n and_o afterward_o circular_o according_a to_o plato_n plato_n thus_o do_v he_o covert_o and_o modest_o style_v himself_o throughout_o this_o work_n a_o movable_a be_v in_o a_o state_n of_o rest_n shall_v not_o move_v unless_o it_o have_v a_o inclination_n to_o some_o particular_a place_n the_o movable_a accelerate_v its_o motion_n go_v towards_o the_o place_n whither_o it_o have_v a_o inclination_n the_o movable_a pass_v from_o rest_n go_v through_o all_o the_o degree_n of_o tardity_n rest_v the_o infinite_a degree_n of_o tardity_n the_o movable_a do_v not_o accelerate_v save_v only_o as_o it_o approach_v near_a to_o we_o term_n nature_n to_o introduce_v in_o the_o movable_a a_o certain_a degree_n of_o velocity_n make_v it_o move_v in_o a_o right_a line_n vniform_a
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