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Word A Word B Word C Word D Occurrence Frequency Band MI MI Band Prominent
cause_n believe_v reason_n see_v 1,394 5 3.2017 3 false
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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

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of_o the_o ebb_a and_o flow_v you_o must_v find_v and_o give_v we_o some_o reason_n why_o it_o do_v in_o the_o self_n same_o place_n run_v one_o while_n one_o way_n and_o another_o while_o another_o effect_n that_o be_v contrary_a &_o irregular_a can_v never_o be_v deduce_v from_o any_o uniform_a and_o constant_a cause_n and_o this_o argument_n that_o overthrow_v the_o hypothesis_n of_o the_o motion_n contribute_v to_o the_o sea_n from_o the_o heaven_n diurnal_a motion_n do_v also_o confute_v that_o position_n of_o those_o who_o will_v admit_v the_o sole_a diurnal_a motion_n of_o the_o earth_n and_o believe_v that_o they_o be_v able_a with_o that_o alone_a to_o give_v a_o reason_n of_o the_o flux_n and_o reflux_n of_o which_o effect_n since_o it_o be_v irregular_a the_o cause_n must_v of_o necessity_n be_v irregular_a and_o alterable_a simp_n i_o have_v nothing_o to_o reply_v neither_o of_o my_o own_o by_o reason_n of_o the_o weakness_n of_o my_o understanding_n nor_o of_o that_o of_o other_o for_o that_o the_o opinion_n be_v so_o new_a but_o i_o can_v believe_v that_o if_o it_o be_v spread_v among_o the_o school_n there_o will_v not_o want_v philosopher_n able_a to_o oppose_v it_o sagr._fw-la expect_v such_o a_o occasion_n and_o we_o in_o the_o mean_a time_n if_o it_o seem_v good_a to_o salviatus_n will_v proceed_v forward_o salv_n all_o that_o which_o have_v be_v say_v hitherto_o pertain_v to_o the_o diurnal_a period_n of_o the_o ebb_a and_o flow_v of_o which_o we_o have_v in_o the_o first_o place_n demonstrate_v in_o general_a the_o primary_n and_o universal_a cause_n without_o which_o no_o such_o effect_n will_v follow_v afterwards_o pass_v to_o the_o particular_a accident_n various_a and_o in_o a_o certain_a sort_n irregular_a that_o be_v observe_v therein_o we_o have_v handle_v the_o secondary_a and_o concommitant_a cause_n upon_o which_o they_o depend_v now_o follow_v the_o two_o other_o period_n monthly_o and_o annual_a which_o do_v not_o bring_v with_o 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be_v a_o little_o great_a mathematician_n and_o particular_o well_o ground_v in_o geometry_n the_o practice_n whereof_o will_v have_v render_v he_o less_o resolute_a in_o accept_v those_o reason_n for_o true_a demonstration_n which_o he_o produce_v for_o true_a cause_n of_o the_o true_a conclusion_n observe_v by_o himself_o which_o reason_n free_o speak_v do_v not_o knit_v and_o bind_v so_o fast_o as_o those_o undoubted_o aught_o to_o do_v in_o that_o of_o natural_a necessary_a and_o last_a conclusion_n may_v be_v allege_v and_o i_o doubt_v not_o but_o that_o in_o process_n of_o time_n this_o new_a science_n will_v be_v perfect_v with_o new_a observation_n and_o which_o be_v more_o with_o true_a and_o necessary_a demonstration_n admire_v nor_o ought_v the_o glory_n of_o the_o first_o inventor_n to_o be_v thereby_o diminish_v nor_o do_v i_o less_o esteem_n but_o rather_o more_o admire_v the_o inventor_n of_o the_o harp_n although_o it_o may_v be_v suppose_v that_o the_o instrument_n 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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 heavy_a and_o that_o light_a but_o by_o your_o own_o confession_n levity_n and_o gravity_n follow_v as_o consequent_n of_o rarity_n and_o density_n therefore_o rarity_n and_o density_n shall_v be_v contrary_n density_n the_o which_o condition_n or_o affection_n be_v so_o ample_o find_v in_o celestial_a body_n that_o you_o esteem_v the_o star_n to_o be_v only_o more_o dense_a part_n of_o their_o heaven_n and_o if_o this_o be_v so_o it_o follow_v that_o the_o density_n of_o the_o star_n exceed_v that_o of_o the_o rest_n of_o heaven_n by_o almost_o infinite_a degree_n which_o be_v manifest_a in_o that_o heaven_n be_v infinite_o transparent_a and_o the_o star_n extreme_o opacous_a and_o for_o that_o there_o be_v there_o above_o no_o other_o quality_n but_o more_o and_o less_o density_n and_o rarity_n which_o may_v be_v cause_n of_o the_o great_a or_o less_o transparency_n there_o be_v then_o such_o contrariety_n between_o the_o celestial_a body_n it_o be_v necessary_a that_o they_o also_o 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not_o to_o have_v stay_v at_o the_o simple_a motion_n sursum_fw-la and_o deorsùm_fw-la for_o i_o assure_v you_o that_o to_o the_o make_n of_o body_n heavy_a or_o light_a whereby_o they_o come_v to_o be_v move_v with_o contrary_a motion_n any_o kind_n of_o density_n and_o rarity_n suffice_v whether_o it_o proceed_v from_o heat_n and_o cold_a or_o what_o else_o you_o please_v for_o heat_n and_o cold_a have_v nothing_o to_o do_v in_o this_o affair_n and_o you_o shall_v upon_o experiment_n find_v that_o a_o red_a iron_n which_o you_o must_v grant_v to_o have_v heat_n weigh_v as_o much_o and_o move_v in_o the_o same_o manner_n as_o when_o it_o be_v cold_a but_o to_o overpass_v this_o also_o how_o know_v you_o but_o that_o celestial_a rarity_n and_o density_n depend_v on_o heat_n and_o cold_a simpl._n i_o know_v it_o because_o those_o quality_n be_v not_o among_o celestial_a body_n which_o be_v neither_o hot_a nor_o cold_a salv_n i_o see_v we_o be_v again_o go_v about_o to_o engulph_n ourselves_o in_o a_o bottomless_a ocean_n where_o there_o be_v no_o get_n to_o shore_n for_o this_o be_v a_o navigation_n without_o compass_n star_n or_o rudder_n so_o that_o it_o will_v follow_v either_o that_o we_o be_v force_v to_o pass_v from_o shelf_n to_o shelf_n or_o run_v on_o ground_n or_o to_o sail_v continual_o in_o danger_n of_o be_v lose_v therefore_o if_o according_a to_o your_o advice_n we_o shall_v proceed_v in_o our_o main_a design_n we_o must_v of_o necessity_n for_o the_o present_a overpass_v this_o general_a consideration_n whether_o direct_a motion_n be_v necessary_a in_o nature_n and_o agree_v with_o some_o body_n and_o come_v to_o the_o particular_a demonstration_n observation_n and_o experiment_n propound_v in_o the_o first_o place_n all_o those_o that_o have_v be_v hitherto_o allege_v by_o aristotle_n ptolomey_n and_o other_o to_o prove_v the_o stability_n of_o the_o earth_n endeavour_v in_o the_o next_o place_n to_o answer_v they_o and_o produce_v in_o the_o last_o place_n those_z by_o which_o other_o may_v be_v persuade_v that_o the_o earth_n be_v no_o less_o than_o the_o moon_n or_o any_o other_o planet_n to_o be_v number_v among_o natural_a body_n that_o move_v circular_o sagr._fw-la i_o shall_v the_o more_o willing_o incline_v to_o this_o in_o that_o i_o be_o better_a satisfy_v with_o your_o architectonical_a and_o general_a discourse_n than_o with_o that_o of_o aristotle_n for_o you_o convince_v i_o without_o the_o least_o scruple_n and_o the_o other_o at_o every_o step_n cross_v my_o way_n with_o some_o block_n and_o i_o see_v no_o reason_n why_o simplicius_n shall_v not_o be_v present_o satisfy_v with_o the_o argument_n you_o allege_v to_o prove_v that_o there_o can_v be_v no_o such_o thing_n in_o nature_n as_o a_o motion_n by_o a_o right_a line_n if_o we_o do_v but_o presuppose_v that_o the_o part_n of_o the_o universe_n be_v dispose_v in_o a_o excellent_a constitution_n and_o perfect_a order_n salv_n stay_v a_o little_a good_a 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the_o sun_n it_o will_v never_o behold_v the_o earth_n of_o which_o the_o dark_a part_n will_v be_v continual_o turn_v towards_o the_o moon_n and_o therefore_o invisible_a but_o when_o the_o moon_n be_v in_o quadrature_n of_o the_o sun_n that_o half_a of_o the_o terrestrial_a hemisphere_n expose_v to_o the_o sight_n of_o the_o moon_n which_o be_v towards_o the_o sun_n be_v luminous_a and_o the_o other_o towards_o the_o contrary_n be_v obscure_a and_o therefore_o the_o illuminate_v part_n of_o the_o earth_n will_v represent_v itself_o to_o the_o moon_n in_o a_o semicircular_a figure_n sagr._fw-la i_o clear_o perceive_v all_o this_o and_o understand_v very_o well_o that_o the_o moon_n depart_v from_o its_o opposition_n to_o the_o sun_n where_o it_o see_v no_o part_n of_o the_o illumination_n of_o the_o terrestrial_a superficies_n and_o approach_a day_n by_o day_n near_o the_o sun_n she_o begin_v by_o little_a and_o little_a to_o discover_v some_o part_n of_o the_o face_n of_o the_o 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grant_v you_o four_o or_o six_o month_n time_n to_o think_v of_o a_o answer_n as_o to_o i_o it_o seem_v that_o one_o principle_n only_o may_v cause_v a_o plurality_n of_o motion_n in_o the_o terrestrial_a globe_n earth_n just_a in_o the_o same_o manner_n that_o as_o i_o tell_v you_o before_o one_o only_a principle_n with_o the_o help_n of_o various_a instrument_n produce_v sundry_a and_o divers_a motion_n in_o live_a creature_n and_o as_o to_o the_o flexure_n there_o be_v no_o need_n of_o they_o the_o motion_n be_v of_o the_o whole_a and_o not_o of_o some_o particular_a part_n and_o because_o they_o be_v to_o be_v circular_a the_o mere_a spherical_a figure_n be_v the_o most_o perfect_a articulation_n or_o flection_n that_o can_v be_v desire_v simp_n the_o most_o that_o aught_o to_o be_v grant_v upon_o this_o will_v be_v that_o it_o may_v hold_v true_a in_o one_o single_a motion_n but_o in_o three_o different_a motion_n in_o my_o opinion_n and_o that_o of_o the_o author_n it_o be_v 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actuate_v it_o at_o the_o same_o instant_n with_o different_a and_o as_o it_o be_v of_o contrary_a motion_n i_o can_v believe_v that_o any_o one_o will_v say_v such_o a_o thing_n unless_o he_o have_v undertake_v to_o maintain_v this_o position_n right_a or_o wrong_n salv_n stay_v a_o little_a and_o find_v i_o out_o this_o place_n in_o the_o book_n fingamus_fw-la modo_fw-la cum_fw-la copernico_n terram_fw-la aliqua_fw-la suâ_fw-la vi_fw-la &_o ab_fw-la indito_fw-la principio_fw-la impelli_fw-la ab_fw-la occasu_fw-la ad_fw-la ortum_fw-la in_o eclipticae_fw-la plano_fw-la tum_fw-la rursus_fw-la revolvi_fw-la ab_fw-la indito_fw-la etiam_fw-la principio_fw-la circa_fw-la suimet_fw-la centrum_fw-la ab_fw-la ortu_fw-la in_o occasum_fw-la copernicus_n tertio_fw-la deflecti_fw-la rursus_fw-la suopte_a nutu_fw-la à_fw-la septentrione_fw-la in_o austrum_fw-la &_o vicissim_fw-la i_o have_v think_v simplicius_n that_o you_o may_v have_v err_v in_o recite_v the_o word_n of_o the_o author_n but_o 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〈…〉_z that_o in_o case_n that_o motion_n shall_v not_o belong_v to_o the_o star_n it_o will_v be_v necessary_a to_o confess_v that_o the_o horizon_n with_o a_o contrary_a motion_n will_v go_v down_o and_o that_o consequent_o the_o earth_n will_v reoolve_v in_o itself_o a_o contrary_a way_n to_o that_o wherewith_o the_o star_n seem_v to_o move_v that_o be_v from_o west_n to_o east_n which_o be_v according_a to_o the_o order_n of_o the_o sign_n of_o the_o zodiac_n as_o in_o the_o next_o place_n to_o the_o other_o motion_n the_o sun_n be_v fix_v in_o the_o centre_n of_o the_o zodiac_n and_o the_o earth_n movable_a about_o its_o circumference_n to_o make_v the_o sun_n seem_v unto_o we_o to_o move_v about_o the_o say_a zodiac_n according_a to_o the_o order_n of_o the_o sign_n it_o be_v necessary_a that_o the_o earth_n move_v according_a to_o the_o same_o order_n to_o the_o end_n that_o the_o sun_n may_v seem_v to_o we_o to_o possess_v always_o that_o degree_n in_o the_o zodiac_n that_o be_v 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therefore_o be_v 25._o time_n so_o much_o and_o last_o the_o four_o inch_n of_o hair_n or_o fringe_n add_v to_o a_o small_a circle_n of_o a_o inch_n in_o diameter_n the_o same_o will_v be_v increase_v 81._o time_n and_o so_o continual_o the_o augmentation_n be_v make_v with_o a_o proportion_n great_a and_o great_a according_a as_o the_o real_a object_n that_o increase_v be_v lesser_a and_o lesser_a sagr._fw-la the_o doubt_n which_o puzzle_v simplicius_n never_o trouble_v i_o but_o certain_a other_o thing_n indeed_o there_o be_v of_o which_o i_o desire_v a_o more_o distinct_a understanding_n and_o in_o particular_a i_o will_v know_v upon_o what_o ground_n you_o affirm_v that_o the_o say_a agrandizement_n be_v always_o equal_a in_o all_o visible_a object_n increase_v salv_n i_o have_v already_o declare_v the_o same_o in_o part_n when_o i_o say_v that_o only_o lucid_a object_n so_o increase_v and_o not_o the_o obscure_a now_o i_o add_v what_o remain_v that_o of_o the_o resplendent_a 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capillitious_a border_n star_n the_o telescope_n be_v the_o best_a and_o only_o mean_v which_o enlarge_n its_o discus_fw-la nine_o hundred_o or_o a_o thousand_o time_n make_v it_o to_o be_v see_v naked_a and_o terminate_v as_o that_o of_o the_o moon_n venus_n and_o different_a from_o itself_o in_o the_o two_o position_n according_a to_o its_o due_a proportion_n to_o a_o hair_n again_o as_o to_o venus_n that_o in_o its_o vespertine_n conjunction_n when_o it_o be_v below_o the_o sun_n aught_o to_o show_v almost_o forty_o time_n big_a than_o in_o the_o other_o matutine_v conjunction_n and_o yet_o do_v not_o appear_v so_o much_o as_o double_v it_o happen_v beside_o the_o effect_n of_o the_o irradiation_n that_o it_o be_v horn_v and_o its_o crescent_o beside_o that_o they_o be_v sharp_a they_o do_v receive_v the_o sun_n light_n oblique_o and_o therefore_o emit_v but_o a_o faint_a splendour_n so_o that_o as_o be_v little_a and_o weak_a its_o irradiation_n become_v the_o less_o ample_a and_o 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that_o which_o carry_v it_o round_o and_o to_o the_o vessel_n in_o which_o it_o be_v transport_v and_o then_o we_o add_v to_o this_o simple_a and_o natural_a accident_n the_o magnetic_a virtue_n whereby_o the_o self_n terrestrial_a globe_n may_v so_o much_o the_o more_o constant_o keep_v it_o immutable_a sagr._fw-la now_o i_o remember_v the_o whole_a business_n and_o that_o which_o then_o come_v into_o my_o mind_n &_o which_o i_o will_v have_v intimate_v be_v a_o certain_a consideration_n touch_v the_o scruple_n and_o objection_n of_o simplicius_n which_o he_o propound_v against_o the_o mobility_n of_o the_o earth_n take_v from_o the_o multiplicity_n of_o motion_n magnet_n impossible_a to_o be_v assign_v to_o a_o simple_a body_n of_o which_o but_o one_o sole_a and_o simple_a motion_n according_a to_o the_o doctrine_n of_o aristotle_n can_v be_v natural_a and_o that_o which_o i_o will_v have_v propose_v to_o consideration_n be_v the_o magnet_n to_o which_o we_o manifest_o see_v three_o 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the_o isle_n of_o corsica_n and_o sardinnia_n and_o in_o the_o strand_n of_o rome_n and_o leghorn_n where_o it_o exceed_v not_o half_a a_o foot_n we_o shall_v understand_v also_o why_o on_o the_o contrary_a where_o the_o rise_n and_o fall_n be_v small_a the_o course_n and_o recourse_n be_v great_a i_o say_v it_o be_v a_o easy_a thing_n to_o understand_v the_o cause_n of_o these_o accident_n see_v that_o we_o meet_v with_o many_o manifest_a occurrence_n of_o the_o same_o nature_n in_o every_o kind_n of_o vessel_n by_o we_o artificial_o compose_v in_o which_o the_o same_o effect_n be_v observe_v natural_o to_o follow_v upon_o our_o move_n it_o uneven_o that_o be_v one_o while_o fast_o and_o another_o while_n flower_n moreover_o large_a consider_v in_o the_o five_o place_n that_o the_o same_o quantity_n of_o water_n be_v move_v though_o but_o gentle_o in_o a_o spacious_a channel_n come_v afterward_o to_o go_v through_o a_o narrow_a passage_n will_v of_o necessity_n run_v with_o great_a 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follower_n never_o attempt_v to_o see_v whether_o there_o be_v any_o phaenomena_n in_o the_o firmament_n for_o or_o against_o the_o annual_a motion_n 337_o 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 338_o five_o velocity_n vniform_a velocity_n suitable_a with_o circular_a motion_n 12_o nature_n do_v not_o immediate_o confer_v a_o determinate_a degree_n of_o velocity_n although_o she_o can_v 12_o the_o velocity_n by_o the_o incline_a plane_n equal_a to_o the_o velocity_n by_o the_o perpendicular_a and_o the_o motion_n by_o the_o perpendicular_a swift_o than_o by_o the_o incline_a plane_n 14_o velocity_n be_v say_v to_o be_v equal_a when_o the_o space_n pass_v be_v proportionate_a to_o their_o time_n 15_o the_o great_a velocity_n exact_o compensate_v the_o great_a gravity_n 192_o venus_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 295_o venus_n very_o great_a towards_o the_o vespertine_n conjunction_n and_o very_o small_a towards_o the_o matutine_v 297_o venus_n necessary_o prove_v to_o move_v about_o the_o sun_n 298_o the_o phaenomena_n of_o venus_n appear_v contrary_a to_o the_o system_fw-la of_o copernicus_n 302_o another_o difficulty_n raise_v by_o venus_n against_o copernicus_n 302_o venus_n according_a to_o copernicus_n either_o lucid_n in_o itself_o or_o a_o transparent_a substance_n 302_o the_o reason_n why_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 303_o a_o second_o reason_n of_o the_o small_a apparent_a increase_n of_o venus_n 306_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 327_o vessel_n of_o the_o motion_n of_o water_n in_o a_o vessel_n vide_fw-la water_n understand_v etc._n etc._n man_n understand_v very_o much_o intensive_a but_o little_a extensive_a 86_o humane_a uuderstanding_n operate_v by_o ratiocination_n 87_o universe_n the_o constitution_n of_o the_o uuiverse_n be_v one_o of_o the_o noble_a problem_n a_o man_n can_v study_v 187_o the_o centre_n of_o the_o universe_n according_a to_o aristotle_n be_v that_o polnt_n about_o which_o the_o celestial_a sphere_n do_v revolve_v 294_o which_o ought_v to_o be_v account_v the_o sphere_n of_o the_o universe_n 299_o it_o be_v a_o great_a rashness_n to_o censure_v that_o to_o be_v superfluous_a in_o the_o universe_n which_o we_o do_v not_o perceive_v to_o be_v make_v for_o we_o 334_o vurstitius_n christianus_n vurstitius_n read_v certain_a lecture_n touch_v the_o opinion_n of_o copernicus_n and_o what_o happen_v thereupon_o 110_o w_n water_n he_o that_o have_v not_o hear_v of_o the_o element_n of_o water_n can_v never_o fancy_v to_o himself_o ship_n and_o fish_n 47_o a_o experiment_n to_o prove_v the_o reflection_n of_o water_n less_o bright_a than_o that_o of_o the_o land_n 81_o the_o motion_n of_o the_o water_n in_o ebb_a and_o flow_v not_o interrupt_v by_o rest._n 251_o the_o vain_a argumentation_n of_o some_o to_o prove_v the_o element_n of_o water_n to_o be_v of_o a_o spherical_a superficies_n 377_o the_o progressive_a and_o uneven_a motion_n make_v the_o water_n in_o a_o vessel_n to_o run_v to_o and_o fro_o 387_o the_o several_a motion_n in_o the_o contain_v vessel_n may_v make_v the_o contain_v water_n to_o rise_v and_o fall_v 387_o the_o water_n raise_v in_o one_o end_n of_o the_o vessel_n return_v itself_o to_o aequilibrium_fw-la 391_o in_o the_o short_a vessel_n the_o undulation_n of_o water_n be_v more_o frequent_a 391_o the_o great_a profundity_n make_v the_o undulation_n of_o water_n the_o more_o frequent_a 391_o why_o in_o narrow_a place_n the_o course_n of_o the_o water_n be_v swift_a than_o in_o large_a 396_o the_o cause_n why_o in_o some_o narrow_a channel_n we_o see_v the_o sea_n water_n run_v always_o one_o way_n 398_o the_o water_n more_o apt_a to_o conserve_v a_o impetus_fw-la conceive_v then_o the_o air._n 400_o the_o motion_n of_o the_o water_n depend_v on_o the_o motion_n of_o heaven_n 404_o weight_n it_o be_v questionable_a whether_o descend_v weight_n move_v in_o a_o right_a line_n 21_o west_n the_o course_n to_o the_o west_n india_n easy_a the_o return_n difficult_a 402_o wind_n constant_n gale_n of_o wind_n within_o the_o tropic_n blow_v towards_o the_o west_n 402_o wind_n from_o the_o land_n make_v rough_a the_o sea_n 402_o wisdom_n divine_a divine_a wisdom_n infinite_o infinite_a 85_o the_o discourse_n which_o humane_a reason_n make_v in_o time_n the_o divine_a wisdom_n resolve_v in_o a_o moment_n that_o be_v have_v they_o always_o present_a 87_o wit._n the_o wit_n of_o man_n admirable_o acute_a 87_o the_o pusilanimity_n of_o popular_a wit_n 364_o poetic_a wit_n of_o two_o kind_n 384_o world_n world_n vide_fw-la universe_n the_o world_n part_n be_v according_a to_o aristotle_n two_o celestial_a and_o elementary_a contrary_a to_o each_o other_o 6_o the_o world_n
suppose_v by_o the_o author_n galileo_n to_o be_v perfect_o ordinate_a 10_o the_o sensible_a world_n 96_o it_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 293_o if_o the_o centre_n of_o the_o world_n be_v the_o same_o with_o 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 295_o write_v some_o write_v what_o they_o understand_v not_o and_o therefore_o understand_v not_o what_o they_o write_v 63_o the_o invention_n of_o write_v stupendous_a above_o all_o other_o 88_o young_a year_n the_o year_n beginning_n and_o end_v which_o ptolemy_n and_o his_o follower_n can_v never_o positive_o assign_v be_v exact_o determine_v by_o the_o copernican_n hypothesis_n 469_o the_o end_n of_o the_o table_n the_o ancient_n and_o modern_a doctrine_n of_o holy_a father_n and_o judicious_a divine_n concern_v the_o rash_a citation_n of_o the_o testimony_n of_o sacred_a scripture_n in_o conclusion_n mere_o natural_a and_o that_o may_v be_v prove_v by_o sensible_a experiment_n and_o necessary_a demonstration_n write_a some_o year_n since_o to_o gratify_v the_o most_o serene_a christina_n lotharinga_n arch-duchess_n of_o tuscany_n by_o galileo_n galilaei_n a_o gentleman_n of_o florence_n and_o chief_a philosopher_n and_o mathematician_n to_o his_o most_o serene_a highness_n the_o grand_a duke_n and_o now_o render_v into_o english_a from_o the_o italian_a by_o thomas_n salusbury_n naturam_fw-la rerum_fw-la invenire_fw-la difficile_fw-la &_o ubi_fw-la inveneris_fw-la indicare_fw-la in_o vulgus_fw-la nefas_fw-la plato_n london_n print_v by_o william_n leybourn_n 1661._o to_o her_o most_o serene_a highness_n the_o grand_fw-mi duchess_n mother_n some_o year_n since_o as_o your_o most_o serene_a highness_n well_o know_v i_o do_v discover_v many_o particular_n in_o heaven_n that_o have_v be_v unseen_a and_o unheard_a of_o until_o this_o our_o age_n which_o as_o well_o for_o their_o novelty_n as_o for_o certain_a consequence_n which_o depend_v upon_o they_o clash_v with_o some_o physical_a proposition_n common_o receive_v by_o the_o school_n do_v stir_v up_o against_o i_o no_o small_a number_n of_o such_o as_o profess_v the_o vulgar_a philosophy_n in_o the_o university_n as_o if_o i_o have_v with_o my_o own_o hand_n new_o place_v these_o thing_n in_o heaven_n to_o obscure_v and_o disturb_v nature_n and_o the_o science_n who_o forget_v that_o the_o multitude_n of_o truth_n contribute_v and_o concur_v to_o the_o investigation_n augmentation_n and_o establishment_n of_o the_o art_n and_o not_o to_o their_o diminution_n and_o destruction_n and_o at_o the_o same_o time_n show_v themselves_o more_o affectionate_a to_o their_o own_o opinion_n than_o to_o truth_n go_v about_o to_o deny_v and_o to_o disprove_v those_o novelty_n of_o which_o their_o very_a sense_n have_v they_o but_o please_v to_o have_v intents_o behold_v they_o will_v have_v render_v they_o thorough_o assure_v and_o to_o this_o purpose_n they_o allege_v sundry_a thing_n and_o publish_v certain_a paper_n fraught_v with_o vain_a discourse_n and_o which_o be_v a_o more_o gross_a error_n interweave_v with_o the_o attestation_n of_o the_o sacred_a scripture_n take_v from_o place_n by_o they_o not_o right_o understand_v and_o which_o do_v not_o any_o thing_n concern_v the_o point_n for_o which_o they_o be_v produce_v into_o which_o error_n perhaps_o they_o will_v not_o have_v run_v if_o they_o have_v but_o be_v advertise_v of_o a_o most_o profitable_a document_n which_o s._n augustine_n give_v we_o concern_v our_o proceed_n wary_o in_o make_v positive_a determination_n in_o point_n that_o be_v obscure_a and_o hard_a to_o be_v understand_v by_o the_o mere_a help_n of_o ratiocination_n where_o treat_v as_o we_o of_o a_o certain_a natural_a conclusion_n concern_v celestial_a body_n he_o thus_o write_v oderimus_fw-la but_o now_o have_v evermore_o a_o respect_n to_o the_o moderation_n of_o pious_a gravity_n we_o ought_v to_o believe_v nothing_o unadvised_o in_o a_o doubtful_a point_n lest_o we_o conceive_v a_o prejudice_n against_o that_o in_o favour_n to_o our_o error_n which_o truth_n hereafter_o may_v discover_v to_o be_v no_o wise_a contrary_n to_o the_o sacred_a book_n either_o of_o the_o old_a or_o new_a testament_n it_o have_v since_o come_v to_o pass_v that_o time_n have_v by_o degree_n discover_v to_o every_o one_o the_o truth_n before_o by_o i_o indicate_v and_o together_o with_o the_o truth_n of_o the_o fact_n a_o discovery_n have_v be_v make_v of_o the_o difference_n of_o humour_n between_o those_o who_o simple_o and_o without_o passion_n do_v refuse_v to_o admit_v such_o like_a phaenomena_n for_o true_a and_o those_o who_o to_o their_o incredulity_n have_v add_v some_o discompose_v affection_n fine_a for_o as_o those_o who_o be_v better_o ground_v in_o the_o science_n of_o astronomy_n and_o natural_a philosophy_n become_v satisfy_v upon_o my_o first_o intimation_n of_o the_o news_n so_o all_o those_o who_o stand_v not_o in_o the_o negative_a or_o in_o doubt_n for_o any_o other_o reason_n but_o because_o it_o be_v a_o unlookt-for-novelty_n and_o because_o they_o have_v not_o a_o occasion_n of_o see_v a_o sensible_a experiment_n thereof_o do_v by_o degree_n come_v to_o satisfy_v themselves_o but_o those_o who_o beside_o the_o love_n they_o bear_v to_o to_o their_o first_o error_n have_v i_o know_v not_o what_o imaginary_a interess_n to_o render_v they_o disaffect_v not_o so_o much_o towards_o the_o thing_n as_o towards_o the_o author_n of_o they_o not_o be_v able_a any_o long_o to_o deny_v they_o conceal_v themselves_o under_o a_o obstinate_a silence_n and_o be_v exasperate_v more_o than_o ever_o by_o that_o whereby_o those_o other_o be_v satisfy_v and_o convince_v they_o divert_v their_o thought_n to_o other_o project_n and_o seek_v to_o prejudice_v i_o some_o other_o way_n of_o who_o i_o profess_v that_o i_o will_v make_v no_o more_o account_n than_o i_o have_v do_v of_o those_o who_o heretofore_o have_v contradict_v i_o at_o who_o i_o always_o laugh_v as_o be_v assure_v of_o the_o issue_n that_o the_o business_n be_v to_o have_v but_o that_o i_o see_v that_o those_o new_a calumny_n and_o persecution_n do_v not_o determine_v in_o our_o great_a or_o lesser_a learning_n in_o which_o i_o will_v scarce_o pretend_v to_o any_o thing_n but_o extend_v so_o far_o as_o to_o attempt_v to_o asperse_v i_o with_o crime_n which_o ought_v to_o be_v and_o be_v more_o abhor_v by_o i_o than_o death_n itself_o nor_o ought_v i_o to_o content_v myself_o that_o they_o be_v know_v to_o be_v unjust_a by_o those_o only_o who_o know_v i_o and_o they_o but_o by_o all_o man_n whatsoever_o they_o persist_v therefore_o in_o their_o first_o resolution_n of_o ruine_v i_o and_o whatsoever_o be_v i_o by_o all_o imaginable_a way_n and_o know_v how_o that_o i_o in_o my_o study_n of_o astronomy_n and_o philosophy_n hold_v as_o to_o the_o world_n be_v systeme_n that_o the_o sun_n without_o change_a place_n be_v situate_a in_o the_o centre_n of_o the_o conversion_n of_o the_o celestial_a orb_n and_o that_o the_o earth_n convertible_a about_o its_o own_o axis_n move_v itself_o about_o the_o sun_n and_o moreover_o understanding_n that_o i_o proceed_v to_o maintain_v this_o position_n not_o only_o by_o refute_v the_o reason_n of_o ptolemy_n and_o aristotle_n but_o by_o produce_v many_o on_o the_o contrary_a and_o in_o particular_a some_o physical_a pertain_v to_o natural_a effect_n the_o cause_n of_o which_o perhaps_o can_v be_v by_o no_o other_o way_n assign_v and_o other_o astronomical_a depend_v upon_o many_o circumstance_n and_o encounter_n of_o new_a discovery_n in_o heaven_n which_o manifest_o confute_v the_o ptolomaick_a systeme_n and_o admirable_o agree_v with_o and_o confirm_v this_o other_o hypothesis_n and_o possible_o be_v ashamed_a to_o see_v the_o know_a truth_n of_o other_o position_n by_o i_o assert_v different_a from_o those_o that_o have_v be_v common_o receive_v and_o therefore_o distrust_v their_o defence_n so_o long_o as_o they_o shall_v continue_v in_o the_o field_n of_o philosophy_n for_o th●se_a respect_n i_o say_v they_o have_v resolve_v to_o try_v whether_o they_o can_v make_v a_o shield_n for_o the_o fallacy_n of_o their_o argument_n of_o the_o mantle_n of_o a_o feign_a religion_n and_o of_o the_o authority_n of_o the_o sacred_a scripture_n apply_v by_o they_o with_o little_a judgement_n to_o the_o confutation_n of_o such_o reason_n of_o i_o as_o they_o have_v neither_o understand_v nor_o so_o much_o as_o hear_v and_o first_o they_o have_v endeavour_v as_o much_o as_o in_o they_o lay_v to_o divulge_v a_o opiniou_n through_o the_o universe_n that_o those_o proposition_n be_v contrary_a to_o the_o holy_a letter_n and_o consequent_o damnable_a and_o heretical_a and_o thereupon_o perceive_v that_o for_o the_o most_o part_n the_o inclination_n of_o man_n nature_n be_v more_o prone_a to_o embrace_v those_o erterprise_n whereby_o his_o neighbour_n may_v
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 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strange_a and_o unlikely_a to_o many_o other_o the_o point_n be_v that_o i_o say_v that_o by_o raise_v the_o level_n of_o fiume_n morto_fw-la one_o half_a brace_n only_o at_o its_o mouth_n it_o will_v penipenitrate_v into_o serchio_n far_a than_o it_o will_v into_o the_o sea_n it_o shall_v cause_v the_o water_n to_o rise_v three_o or_o perhaps_o more_o brace_n upon_o the_o field_n towards_o pisa_n and_o still_o more_o by_o degree_n as_o they_o shall_v recede_v far_o from_o the_o seaside_n and_o thus_o there_o will_v follow_v very_o great_a inundation_n and_o considerable_a mischief_n and_o to_o know_v that_o this_o be_v true_a you_o be_v to_o take_v notice_n of_o a_o accident_n which_o i_o give_v warning_n of_o in_o my_o discourse_n of_o the_o measure_n of_o run_v water_n where_o also_o i_o give_v the_o reason_n thereof_o 1._o coral_n 14._o the_o accident_n be_v this_o that_o there_o come_v a_o land-flood_n for_o example_n into_o arno_n which_o make_v it_o to_o rise_v above_o its_o 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the_o seaside_n by_o fall_v into_o serchio_n for_o although_o the_o rise_n of_o fiume_n morto_fw-la by_o be_v to_o disgorge_v its_o water_n into_o serchio_n towards_o the_o sea_n be_v only_o a_o quarter_n of_o a_o brace_n we_o may_v very_o well_o be_v sure_a that_o far_o from_o the_o sea_n about_o pisa_n and_o upon_o those_o field_n the_o rise_n shall_v be_v much_o great_a and_o shall_v become_v two_o or_o three_o brace_n and_o because_o the_o country_n lie_v low_a that_o same_o ●ise_v will_v cause_v a_o continual_a innundation_n of_o the_o plain_n like_a as_o it_o do_v before_o i_o cause_v the_o mouth_n to_o be_v open_v into_o the_o sea_n and_o therefore_o i_o conclude_v that_o the_o mouth_n of_o fiume_n morto_fw-la aught_o by_o no_o mean_n to_o be_v open_v into_o serchio_n but_o aught_o to_o be_v continue_v into_o the_o sea_n use_v all_o diligence_n to_o keep_v it_o open_v after_o the_o manner_n aforesaid_a so_o soon_o as_o ever_o the_o wind_n shall_v be_v lay_v and_o if_o they_o shall_v do_v otherwise_o i_o confident_o affirm_v that_o there_o will_v daily_o follow_v great_a damage_n not_o only_o in_o the_o plain_n but_o also_o in_o the_o wholesomeness_n of_o the_o air_n as_o have_v be_v see_v in_o time_n past_a and_o again_o it_o ought_v with_o all_o care_n to_o be_v procure_v that_o no_o water_n do_v by_o any_o mean_v run_v or_o fall_v from_o the_o trench_n of_o libra_n into_o the_o plain_a of_o pisa_n for_o these_o water_n be_v to_o discharge_v into_o fiume_n morto_fw-la they_o maintain_v it_o much_o high_a than_o be_v imagine_v according_a to_o that_o which_o i_o have_v demonstrate_v in_o my_o consideration_n upon_o the_o state_n of_o the_o lake_n of_o venice_n i_o have_v say_v but_o little_a but_o i_o speak_v to_o you_o who_o understand_v much_o and_o i_o submit_v all_o to_o the_o most_o refine_a judgement_n of_o our_o most_o serene_a prince_n leopold_n who_o hand_n i_o beseech_v you_o in_o all_o humility_n to_o kiss_v in_o my_o name_n and_o implore_v the_o continuance_n of_o his_o princely_a favour_n to_o i_o and_o so_o desire_v your_o prayer_n to_o god_n for_o i_o i_o take_v my_o leave_n rome_n 1_o feb._n 1642._o your_o most_o affectionate_a servant_n d._n benedetto_n castelli_n the_o answer_n to_o a_o letter_n write_v by_o bartolotti_n touch_v the_o difficultye_n observe_v the_o former_a part_n of_o the_o letter_n be_v omit_v and_o the_o discourse_n begin_v at_o the_o first_o head_n and_o first_o i_o say_v whereas_o i_o suppose_v that_o the_o level_n of_o the_o serchio_n be_v high_a than_o that_o of_o fiume_n morto_fw-la this_o be_v most_o true_a at_o such_o time_n as_o the_o water_n of_o fiume_n morto_fw-la be_v discharge_v into_o the_o sea_n but_o i_o do_v never_o say_v that_o thing_n can_v never_o be_v bring_v to_o that_o pass_n as_o that_o the_o level_n of_o fiume_n morto_fw-it shall_v be_v high_o than_o serchio_n and_o so_o i_o grant_v that_o it_o will_v follow_v that_o the_o water_n of_o fiume_n morto_fw-it shall_v go_v 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always_o find_v his_o clemency_n and_o nobleness_n of_o mind_n but_o if_o i_o be_v to_o put_v in_o my_o vote_n upon_o this_o business_n i_o will_v say_v that_o the_o point_n of_o spear_n and_o the_o mouth_n of_o gun_n the_o yelp_a of_o dog_n the_o wilynesse_n of_o huntsman_n who_o run_v thorough_a and_o narrow_o search_v all_o those_o wood_n thicket_n and_o heathe_n be_v the_o true_a destroyer_n of_o buck_n and_o boar_n and_o not_o a_o little_a salt-water_n which_o settle_v at_o last_o in_o some_o low_a place_n and_o spread_v not_o very_o far_o yet_o nevertheless_o i_o will_v not_o enter_v upon_o any_o such_o point_n but_o confine_v myself_o sole_o to_o the_o business_n before_o i_o 5._o that_o experiment_n of_o join_v together_o the_o water_n
height_n within_o pisa_n six_o or_o seven_o brace_n that_o this_o height_n of_o the_o same_o flood_n become_v still_o lesser_a the_o near_o we_o approach_v to_o the_o seacoast_n nor_o shall_v the_o say_a river_n be_v raise_v hardly_o half_a a_o brace_n whereupon_o it_o necessry_o follow_v that_o if_o i_o shall_v return_v to_o the_o seaside_n and_o not_o know_v any_o think_v of_o that_o which_o happen_v at_o pisa_n and_o see_v the_o river_n arno_n raise_v by_o a_o land-flood_n half_a a_o brace_n i_o may_v confident_o affirm_v the_o say_a river_n to_o be_v raise_v in_o pisa_n those_o six_o or_o seven_o brace_n etc._n etc._n from_o such_o like_a accident_n i_o conclude_v in_o the_o same_o letter_n that_o it_o be_v necessary_a to_o make_v great_a account_n of_o every_o little_a rise_n that_o fiume_n morto_fw-it shall_v make_v towards_o the_o sea_n now_o come_v bartolotti_n and_o perhaps_o because_o i_o know_v not_o how_o to_o express_v myself_o better_a understand_v not_o my_o 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