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Word A Word B Word C Word D Occurrence Frequency Band MI MI Band Prominent
water_n air_n grain_n weigh_v 3,412 5 12.2613 5 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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that_o can_v be_v it_o will_v be_v necessary_a to_o say_v that_o such_o like_a effect_n depend_v on_o a_o intern_a principle_n against_o which_o position_n oboriuntur_fw-la difficillimae_fw-la immò_fw-la inextricabiles_fw-la quaestiones_fw-la secundae_fw-la of_o which_o sort_n be_v these_o that_o follow_v principium_fw-la illud_fw-la internum_fw-la vel_fw-la est_fw-la accidens_fw-la vel_fw-la substantia_fw-la si_fw-mi primum_fw-la quale_fw-la nam_fw-la illud_fw-la nam_fw-la qualitas_fw-la locomotiva_fw-la circum_fw-la hactenus_fw-la nulla_fw-la videtur_fw-la agni●a_fw-la in_o english_a thus_o contrary_a to_o which_o position_n there_o do_v arise_v most_o difficult_a yea_o inextricable_a second_a question_n such_o as_o these_o that_o intern_a principle_n be_v either_o a_o accident_n or_o a_o substance_n if_o the_o first_o what_o manner_n of_o accident_n be_v it_o for_o a_o locomotive_a quality_n about_o the_o centre_n seem_v to_o be_v hitherto_o acknowledge_v by_o none_o salv_n how_o 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the_o motion_n in_o the_o next_o place_n which_o can_v be_v common_a to_o thing_n alive_a and_o dead_a be_v those_o which_o depend_v on_o the_o soul_n but_o those_o which_o belong_v to_o the_o body_n in_o as_o much_o as_o it_o be_v elementary_a and_o consequent_o participate_v of_o the_o quality_n of_o the_o element_n why_o may_v not_o they_o be_v common_a as_o well_o to_o the_o dead_a corpse_n as_o to_o the_o live_a body_n and_o therefore_o if_o the_o circular_a motion_n be_v proper_a to_o the_o element_n it_o ought_v to_o be_v common_a to_o the_o mix_a body_n also_o sagr._fw-la it_o must_v needs_o be_v that_o this_o author_n hold_v that_o a_o dead_a cat_n fall_v from_o a_o window_n it_o be_v not_o possible_a that_o a_o live_v cat_n also_o can_v fall_v it_o not_o be_v a_o thing_n convenient_a that_o a_o carcase_n shall_v partake_v of_o the_o quality_n which_o suit_n with_o thing_n alive_a salv_n therefore_o the_o discourse_n of_o this_o author_n conclude_v nothing_o against_o one_o
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or_o in_o that_o manner_n there_o be_v no_o reason_n for_o which_o the_o fire_n by_o a_o simple_a contract_n to_o a_o superficies_n which_o you_o yourself_o grant_v to_o be_v smooth_a and_o terse_a shall_v be_v according_a to_o its_o whole_a depth_n carry_v round_o in_o a_o motion_n different_a from_o its_o natural_a inclination_n as_o have_v be_v defuse_o prove_v and_o with_o sensible_a reason_n demonstrate_v by_o cite_v il_fw-fr saggiatore_n beside_o the_o other_o improbability_n of_o the_o say_a motion_n transfuse_v itself_o from_o the_o subtle_a fire_n throughout_o the_o air_n much_o more_o dense_a and_o from_o that_o also_o again_o to_o the_o water_n but_o that_o a_o body_n of_o rugged_a and_o mountainous_a surface_n by_o revolve_v in_o itself_o shall_v carry_v with_o it_o the_o air_n contiguous_a to_o it_o and_o against_o which_o its_o promontary_n beat_v be_v not_o only_o probable_a but_o necessary_a and_o experience_n thereof_o may_v be_v daily_o see_v though_o without_o see_v it_o i_o believe_v that_o there_o be_v no_o judgement_n that_o doubt_v thereof_o as_o to_o the_o other_o part_n suppose_v that_o the_o motion_n of_o heaven_n do_v carry_v round_o the_o air_n and_o also_o the_o water_n yet_o will_v that_o motion_n for_o all_o that_o have_v nothing_o to_o do_v with_o the_o ebb_a and_o flow_v for_o be_v that_o from_o one_o only_a and_o uniform_a cause_n there_o can_v follow_v but_o one_o sole_a and_o uniform_a effect_n heaven_n that_o which_o shall_v be_v discover_v in_o the_o water_n will_v be_v a_o continuate_a and_o uniform_a course_n from_o east_n to_o west_n and_o in_o that_o a_o sea_n only_o which_o run_v compass_n environ_v the_o whole_a globe_n but_o in_o determinate_a sea_n such_o as_o be_v the_o mediterrane_n shut_v up_o in_o the_o east_n there_o can_v be_v no_o such_o motion_n for_o if_o its_o water_n may_v be_v drive_v by_o the_o course_n of_o heaven_n towards_o the_o west_n it_o will_v have_v be_v dry_a many_o age_n since_o beside_o that_o our_o water_n run_v not_o only_o towards_o the_o west_n but_o return_v backward_o towards_o the_o east_n and_o that_o in_o ordinal_n period_n and_o whereas_o you_o say_v by_o the_o example_n of_o river_n that_o though_o the_o course_n of_o the_o sea_n be_v original_o that_o only_o from_o east_n to_o west_n yet_o nevertheless_o the_o different_a position_n of_o the_o shore_n may_v make_v part_n of_o the_o water_n regurgitate_v and_o return_v backward_o i_o grant_v it_o you_o but_o it_o be_v necessary_a that_o you_o take_v notice_n my_o simplicius_n that_o where_o the_o water_n upon_o that_o account_n return_v backward_o it_o do_v so_o there_o perpetual_o and_o where_o it_o run_v straight_o forward_o it_o run_v there_o always_o in_o the_o same_o manner_n for_o so_o the_o example_n of_o the_o river_n show_v you_o but_o in_o the_o case_n
earth_n answer_v by_o example_n of_o the_o like_a motion_n in_o other_o celestial_a body_n 236_o a_o four_o argument_n of_o claramontius_n against_o the_o copernican_n hypothesis_n of_o the_o earth_n mobility_n 239_o from_o the_o earth_n obscurity_n and_o the_o splendour_n of_o the_o fix_a star_n it_o be_v argue_v that_o it_o be_v movable_a and_o they_o immovable_a 239_o a_o five_o argument_n of_o claramontius_n against_o the_o copernican_n hypothesis_n of_o the_o earth_n mobility_n 240_o another_o difference_n between_o the_o earth_n and_o celestial_a body_n take_v from_o purity_n and_o impurity_n 240_o it_o seem_v a_o solecism_n to_o affirm_v that_o the_o earth_n be_v not_o in_o heaven_n 241_o 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 300_o discourse_n more_o than_o childish_a that_o serve_v to_o keep_v fool_n in_o the_o opinion_n of_o the_o earth_n stability_n 301_o 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 307_o the_o axis_n 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 orb._n 344_o the_o orb_n of_o the_o earth_n never_o incline_v but_o be_v immutable_o the_o same_o 345_o 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 grand_a orb._n 349_o if_o in_o the_o fix_a star_n one_o shall_v discover_v any_o mutation_n the_o motion_n of_o the_o earth_n will_v be_v undeniable_a 351_o necessary_a proposition_n for_o the_o better_a conceive_n of_o the_o consequence_n of_o the_o earth_n motion_n 354_o a_o admirable_a accident_n depend_v on_o the_o not-inclining_a of_o the_o earth_n axis_n 358_o four_o several_a motion_n assign_v to_o the_o earth_n 362_o the_o three_o motion_n ascribe_v to_o the_o earth_n be_v rather_o a_o rest_a immovable_a 363_o a_o admirable_a intern_a virtue_n or_o faculty_n of_o the_o earth_n globe_n to_o behold_v always_o the_o same_o part_n of_o heaven_n 363_o nature_n as_o i●_n sport_n make_v the_o ebb_a and_o flow_v of_o the_o sea_n to_o prove_v the_o earth_n mobility_n 379_o all_o terrene_a effect_n indifferent_o confirm_v the_o motion_n or_o rest_n of_o the_o earth_n except_o the_o ebb_a and_o flow_v of_o the_o sea_n 380_o the_o cavity_n of_o the_o earth_n can_v approach_v or_o recede_v from_o the_o centre_n of_o the_o same_o 387_o the_o hypothesis_n of_o the_o earth_n mobility_n take_v in_o favour_n of_o the_o ebb_a and_o flow_v oppose_v 399_o the_o answer_n to_o those_o objection_n make_v against_o the_o earth_n motion_n 399_o the_o revolution_n of_o the_o earth_n confirm_v by_o a_o new_a argument_n take_v from_o the_o air_n 400_o the_o vaporous_a part_n of_o the_o earth_n partake_v of_o its_o motion_n 400_o another_o observation_n take_v from_o the_o air_n in_o confirmation_n of_o the_o motion_n of_o the_o earth_n 402_o a_o reason_n of_o the_o continual_a motion_n of_o the_o air_n and_o water_n may_v be_v give_v by_o make_v the_o earth_n movable_a rather_o than_o by_o make_v it_o immovable_a 405_o the_o earth_n mobility_n hold_v by_o sundry_a great_a philosopher_n among_o the_o ancient_n 437_o &_o 468_o the_o father_n agree_v not_o in_o expound_v the_o text_n of_o scripture_n that_o be_v allege_v against_o the_o earth_n mobility_n 450_o the_o earth_n mobility_n defend_v by_o many_o among_o the_o modern_a writer_n 478_o the_o earth_n shall_v stand_v still_o after_o the_o day_n of_o judgement_n 480_o the_o earth_n be_v another_o moon_n or_o star_n 486_o the_o earth_n several_a motion_n according_a to_o copernicus_n 491_o the_o earth_n secundum_fw-la totum_fw-la be_v immutable_a though_o not_o immovable_a 491_o the_o earth_n natural_a place_n 492_o the_o earth_n centre_n keep_v she_o in_o her_o natural_a place_n 493_o the_o earth_n in_o what_o sense_n it_o may_v absolute_o be_v say_v to_o be_v in_o the_o low_a part_n of_o the_o world_n 496_o ebb_a and_o ebb_n the_o first_o general_a conclusion_n of_o the_o impossibility_n of_o ebb_a and_o flow_v the_o immobility_n of_o the_o terrestrial_a globe_n be_v grant_v 380_o the_o period_n of_o ebb_n and_o flow_n diurnal_a monthly_a and_o annual_a 381_o variety_n that_o happen_v in_o the_o diurnal_a period_n of_o the_o ebb_n and_o flow_n 382_o the_o cause_n of_o ebb_n and_o flow_n allege_v by_o a_o modern_a philosopher_n 382_o the_o cause_n of_o the_o ebb_a and_o flow_v ascribe_v to_o the_o moon_n by_o a_o certain_a prelate_n 383_o the_o cause_n of_o the_o ebb_a etc._n etc._n refer_v by_o hyeronimus_n borrius_fw-la and_o other_o peripatetic_n to_o the_o temperate_a heat_n of_o the_o moon_n 383_o answer_n to_o the_o vanity_n allege_v as_o cause_n of_o the_o ebb_a and_o flow_v 383_o it_o be_v prove_v impossible_a that_o there_o shall_v natural_o be_v any_o ebb_a and_o flow_v the_o earth_n be_v immovable_a 386_o the_o most_o potent_a and_o primary_n cause_v of_o the_o ebb_a and_o flow_v 390_o sundry_a accident_n that_o happen_v in_o the_o ebb_n and_o flow_n 391_o reason_n renew_v of_o the_o particular_a accident_n observe_v in_o the_o ebb_n and_o flow_n 393_o second_o cause_n why_o in_o several_a sea_n and_o lake_n there_o be_v no_o ebb_n and_o flow_n 394_o the_o reason_n why_o the_o ebb_n and_o flow_n for_o the_o most_o part_n be_v every_o six_o hour_n 395_o the_o cause_n why_o some_o sea_n though_o very_o long_o suffer_v no_o ebb_a and_o flow_v 395_o ebb_n and_o flow_n why_o great_a in_o the_o extremity_n of_o gulf_n and_o least_o in_o the_o middle_a part_n 396_o a_o discussion_n of_o some_o more_o abstruse_a accident_n observe_v in_o the_o ebb_a and_o flow_v 396_o the_o ebb_a and_o flow_v may_v depend_v on_o the_o diurnal_a motion_n of_o heaven_n 404_o the_o ebb_a and_o flow_v can_v depend_v on_o the_o motion_n of_o heaven_n 405_o the_o cause_n of_o the_o period_n of_o the_o ebb_n and_o flow_n monthly_o and_o annual_a at_o large_a assign_v 407_o the_o monthly_a and_o annual_a alteration_n of_o the_o ebb_n and_o flow_n can_v depend_v on_o nothing_o save_v on_o the_o alteration_n of_o the_o addition_n and_o subtraction_n of_o the_o diurnal_a period_n from_o the_o annual_a 408_o three_o way_n of_o alter_v the_o proportion_n of_o the_o addition_n of_o the_o diurnal_a revolution_n to_o the_o annual_a motion_n of_o the_o ebb_a and_o flow_v 409_o ebb_n and_o flow_n be_v petty_a thing_n in_o comparison_n of_o the_o vastness_n of_o the_o sea_n and_o the_o velocity_n of_o the_o motion_n of_o the_o terrestrial_a globe_n 417_o effect_n and_o effect_n of_o a_o new_a effect_v its_o necessary_a that_o the_o cause_n be_v likewise_o new_a 370_o the_o knowledge_n of_o the_o effect_n contribute_v to_o the_o investigation_n of_o the_o cause_n 380_o true_a and_o natural_a effect_n follow_v without_o difficulty_n 387_o alteration_n in_o the_o effect_n argue_v alteration_n in_o the_o cause_n 407_o element_n and_o their_o motion_n vide_fw-la motion_n encyclopedia_n subtlety_n sufficient_o insipid_a ironical_o speak_v and_o take_v from_o a_o certain_a encyclopedia_n 153_o experiment_n sensible_n experiment_n be_v to_o be_v prefer_v before_o humane_a argumentation_n 21_o 33_o 42._o it_o be_v good_a to_o be_v very_o cautious_a in_o admit_v experiment_n for_o true_a to_o those_o that_o never_o try_v they_o 162_o experiment_n and_o argument_n against_o the_o earth_n motion_n seem_v so_o far_o conclude_v as_o they_o lie_v under_o equivoke_v 162_o the_o authority_n of_o sensible_a experiment_n and_o necessary_a demonstration_n in_o decide_v of_o physical_a controversy_n 436_o eye_n the_o circle_n of_o the_o pupil_n of_o the_o eye_n contract_v and_o enlarge_v 329_o how_o to_o find_v the_o distance_n of_o the_o ray_n concourse_n from_o the_o pupil_n of_o the_o eye_n 329_o f_o faith_n i'faith_o more_o infallible_a than_o either_o sense_n or_o reason_n 475_o fire_n fire_n move_v direct_o upward_o by_o nature_n and_o round_o about_o by_o participation_n according_a to_o aristotle_n 122_o it_o be_v improbable_a that_o the_o element_n of_o fire_n shall_v be_v carry_v round_o by_o the_o concave_n of_o the_o moon_n 405_o figure_n and_o figure_n figure_n be_v not_o the_o cause_n of_o incorruptibility_n but_o of_o long_a duration_n 66_o the_o perfection_n of_o figure_n appear_v in_o corruptible_a body_n but_o not_o in_o the_o eternal_a 69_o if_o the_o spherical_a figure_n confer_v eternity_n all_o thing_n will_v be_v eternal_a 69_o it_o be_v more_o difficult_a to_o find_v figure_n that_o touch_v in_o a_o part_n of_o their_o surface_n then_o in_o one_o sole_a point_n 185_o the_o circular_a figure_n place_v among_o the_o postulata_fw-la of_o mathematician_n 186_o irregular_a figure_n and_o form_n difficult_a to_o be_v introduce_v 187_o superficial_a figure_n increase_v in_o proportion_n
therefore_o neither_o the_o whole_a earth_n nor_o the_o whole_a water_n nor_o the_o whole_a air_n can_v secundum_fw-la totum_fw-la be_v drive_v or_o force_v out_o of_o their_o proper_a place_n site_z or_o systeme_n in_o the_o universe_n in_o respect_n of_o the_o order_n and_o disposition_n of_o other_o mundane_a body_n and_o thus_o there_o be_v no_o star_n though_o erratic_a orb_n or_o sphere_n that_o can_v desert_n its_o natural_a place_n although_o it_o may_v otherwise_o have_v some_o kind_n of_o motion_n therefore_o all_o thing_n how_o movable_a soever_o be_v notwithstanding_o say_v to_o be_v stable_n and_o immovable_a in_o their_o proper_a place_n according_a to_o the_o foresay_a sense_n i.e._n secundum_fw-la totum_fw-la for_o nothing_o hinder_v but_o that_o secundum_fw-la part_v they_o may_v some_o waymove_v which_o motion_n shall_v not_o be_v natural_a but_o violent_a therefore_o the_o earth_n although_o it_o shall_v be_v movable_a yet_o it_o may_v be_v say_v to_o be_v immovable_a according_a to_o the_o precedent_a maxim_n for_o that_o its_o neither_o move_v in_o a_o right_a motion_n nor_o out_o of_o the_o course_n assign_v it_o in_o its_o creation_n for_o the_o stand_a rule_n of_o its_o motion_n but_o keep_v within_o its_o own_o site_n be_v place_v in_o that_o which_o be_v call_v the_o grand_a orb_n earth_n above_o venus_n and_o beneath_o mars_n and_o be_v in_o the_o middle_n betwixt_o these_o which_o according_a to_o the_o common_a opinion_n be_v the_o sun_n place_n it_o equal_o and_o continual_o move_v about_o the_o sun_n and_o the_o two_o other_o intermediate_v planet_n namely_o venus_n and_o mercury_n and_o have_v the_o moon_n which_o be_v another_o earth_n body_n but_o aetherial_a as_o macrobius_n after_o some_o of_o the_o ancient_a philosopher_n will_v have_v it_o about_o itself_o from_o whence_o inasmuch_o as_o she_o persist_v uniform_o in_o her_o course_n and_o never_o at_o any_o time_n depart_v from_o it_o she_o may_v be_v say_v to_o be_v stable_n and_o immovable_a and_o in_o the_o same_o sense_n heaven_n likewise_o with_o all_o the_o element_n may_v be_v say_v to_o be_v immovable_a the_o five_o maxim_n follow_v be_v little_a different_a from_o the_o former_a among_o the_o thing_n create_v by_o god_n some_o be_v of_o such_o a_o nature_n that_o their_o part_n may_v be_v ab_fw-la inuicem_fw-la or_o by_o turn_n separate_v from_o themselves_o and_o disjoined_n from_o their_o whole_a other_o may_v not_o at_o least_o take_v collective_o now_o those_o be_v perishable_a but_o these_o perpetual_a the_o earth_n therefore_o since_o it_o be_v reckon_v among_o those_o thing_n that_o be_v permanent_a place_n as_o have_v be_v say_v already_o have_v its_o part_n not_o dissipable_a nor_o ab_fw-la inuicem_fw-la separable_a from_o its_o centre_n whereby_o its_o true_a and_o proper_a place_n be_v assign_v it_o and_o from_o its_o whole_a take_v collective_o because_o according_a to_o its_o whole_a it_o be_v always_o preserve_v compact_a unite_a and_o coherent_a in_o itself_o nor_o can_v its_o part_n be_v separate_v from_o the_o centre_n or_o from_o one_o another_o unless_o it_o may_v so_o fall_v out_o per_fw-la accidens_fw-la and_o violent_o in_o some_o of_o its_o part_n which_o afterward_o the_o obstacle_n be_v remove_v return_v to_o their_o natural_a station_n spontaneous_o and_o without_o any_o impulse_n in_o this_o sense_n therefore_o the_o earth_n be_v say_v to_o be_v immovable_a and_o immutable_a yea_o even_o the_o sea_n aire_n heaven_n and_o any_o other_o thing_n although_o otherwise_o movable_a so_o long_o as_o its_o part_n be_v not_o dissipable_a and_o separable_a may_v be_v say_v to_o be_v immovable_a at_o last_o take_v collective_o this_o principle_n or_o maxim_n differ_v from_o the_o precedent_n only_o in_o that_o this_o refer_v to_o the_o part_n in_o order_n to_o place_n and_o this_o in_o order_n to_o the_o whole_a from_o this_o speculation_n another_o secret_n be_v discover_v be_v for_o hence_o it_o be_v manifest_v wherein_o the_o proper_a and_o genuine_a formality_n of_o the_o gravity_n and_o levity_n of_o body_n consist_v a_o point_n which_o be_v not_o so_o clear_o hold_v forth_o nor_o so_o undeniable_o explain_v by_o the_o peripatetic_a philosophy_n gravity_n therefore_o be_v nothing_o else_o according_a to_o the_o principle_n of_o this_o new_a opinion_n than_o a_o certain_a power_n and_o appetite_n of_o the_o part_n to_o rejoin_v with_o their_o whole_a and_o there_o to_o rest_v as_o in_o their_o proper_a place_n which_o faculty_n or_o disposition_n be_v by_o divine_a providence_n bestow_v not_o only_o on_o the_o earth_n and_o terrene_a body_n levity_n but_o as_o be_v believe_v on_o celestial_a body_n also_o namely_o the_o sun_n moon_n and_o star_n all_o who_o part_n be_v by_o this_o impulsion_n connect_v and_o conserve_v together_o cleave_v close_o to_o each_o other_o and_o on_o all_o side_n press_v towards_o their_o centre_n until_o they_o come_v to_o rest_v there_o from_o which_o concourse_n and_o compression_n a_o spherical_a and_o orbicular_a figure_n of_o the_o celestial_a orb_n be_v produce_v wherein_o by_o this_o occult_a quality_n natural_o incident_a to_o each_o of_o they_o they_o of_o themselves_o subsist_v and_o be_v always_o preserve_v but_o levity_n be_v the_o extrusion_n and_o exclusion_n of_o a_o more_o tenuose_fw-la and_o thin_a body_n from_o the_o commerce_n of_o one_o more_o solid_a and_o dense_a levity_n that_o be_v heterogeneal_a to_o it_o by_o virtue_n of_o heat_n whereupon_o as_o the_o motion_n of_o grave_a body_n be_v compressive_a so_o the_o motion_n of_o light_a body_n be_v extensive_a for_o it_o be_v the_o propperty_n of_o heat_n to_o dilate_v and_o rarify_v those_o thing_n to_o which_o it_o do_v apply_v conjoin_v and_o communicate_v itself_o and_o for_o this_o reason_n we_o find_v levity_n and_o gravity_n not_o only_o in_o respect_n of_o this_o our_o terestrial_a globe_n and_o the_o body_n adjacent_a to_o it_o but_o also_o in_o respect_n of_o those_o body_n which_o be_v say_v to_o be_v in_o the_o heaven_n in_o which_o those_o part_n which_o by_o reason_n of_o their_o proclivity_n make_v towards_o their_o centre_n be_v grave_a and_o those_o that_o incline_v to_o the_o circumference_n light_n and_o so_o in_o the_o sun_n moon_n and_o star_n there_o be_v part_n as_o well_o grave_a as_o light_n body_n and_o consequent_o heaven_n itself_o that_o so_o noble_a body_n and_o of_o a_o five_o essence_n shall_v not_o be_v constitute_v of_o a_o matter_n different_a from_o that_o of_o the_o element_n be_v free_a from_o all_o mutation_n in_o its_o substance_n quantity_n and_o quality_n nor_o so_o admirable_a and_o excellent_a as_o aristotle_n will_v make_v we_o to_o believe_v rare_a nor_o yet_o a_o solid_a body_n and_o impermeable_a and_o much_o less_o as_o the_o generality_n of_o man_n very_o believe_v of_o a_o impenetrable_a and_o most_o obdurate_a density_n but_o in_o it_o as_o this_o opinion_n will_v have_v it_o comet_n may_v be_v generate_v and_o the_o sun_n itself_o as_o it_o be_v probable_a exhaling_a or_o attract_v sundry_a vapour_n to_o the_o surface_n of_o its_o body_n may_v perhaps_o produce_v those_o spot_n which_o be_v observe_v to_o be_v so_o various_a and_o irregular_a in_o its_o discus_fw-la of_o which_o galilaeus_fw-la in_o a_o particular_a solarj_n treatise_n have_v most_o excellent_o and_o most_o accurate_o speak_v insomuch_o that_o though_o it_o be_v not_o beside_o my_o present_a purpose_n yet_o it_o be_v convenient_a that_o i_o forbear_v to_o speak_v any_o thing_n touch_v those_o matter_n lest_o i_o shall_v seem_v to_o do_v that_o which_o he_o have_v do_v before_o i_o but_o now_o if_o there_o be_v find_v in_o the_o sacred_a scripture_n any_o authority_n contrary_a to_o these_o thing_n it_o may_v be_v salve_v by_o the_o foresay_a argument_n analogical_o apply_v and_o furthermore_o it_o may_v be_v say_v that_o that_o solidity_n be_v to_o be_v so_o understand_v as_o that_o it_o admit_v of_o no_o vacuum_n cleave_v or_o penetration_n from_o whence_o the_o least_o vacuity_n may_v proceed_v for_o the_o truth_n be_v as_o that_o can_v be_v admit_v in_o bodily_a creature_n so_o it_o be_v likewise_o repugnant_a to_o heaven_n itself_o be_v indeed_o a_o body_n of_o its_o own_o nature_n the_o most_o rare_a of_o all_o other_o 1._o and_o tenuose_fw-la beyond_o all_o humane_a conception_n and_o haply_o have_v the_o same_o proportion_n to_o the_o air_n as_o the_o air_n to_o the_o water_n it_o be_v clear_a also_o from_o these_o principle_n how_o false_a these_o word_n of_o aristotle_n be_v that_o of_o one_o simple_a body_n there_o be_v one_o simple_a motion_n and_o this_o be_v of_o two_o kind_n right_o and_o circular_a the_o right_o be_v twofold_a from_o the_o medium_n and_o to_o the_o medium_n the_o first_o of_o light_a body_n as_o the_o air_n and_o fire_n the_o second_o of_o grave_a body_n as_o the_o water_n and_o earth_n the_o circular_a which_o be_v about_o the_o
be_v therein_o altogether_o unconcern_v moreover_o in_o the_o four_o place_n we_o must_v note_v that_o it_o may_v so_o fall_v out_o that_o such_o a_o river_n not_o only_o be_v uninteress_v in_o the_o innundation_n though_o augment_v in_o measure_n but_o it_o may_v i_o say_v happen_v that_o it_o be_v instrumental_a to_o the_o asswage_a the_o innundation_n by_o augment_v in_o the_o measure_n of_o its_o own_o channel_n which_o matter_n be_v sufficient_o evident_a for_o if_o it_o be_v suppose_v that_o the_o river_n in_o the_o time_n of_o flood_n have_v not_o have_v of_o itself_o and_o from_o its_o proper_a spring_n more_o water_n than_o ordinary_a it_o be_v a_o thing_n certain_a that_o the_o water_n of_o tiber_n rise_v and_o increase_v also_o that_o river_n to_o level_v itself_o with_o the_o water_n of_o tiber_n will_v have_v retain_v some_o of_o its_o water_n in_o its_o own_o channel_n without_o discharge_v they_o into_o tiber_n or_o else_o will_v have_v ingorge_v and_o swallow_v if_o i_o may_v so_o say_v some_o of_o the_o water_n of_o tiber_n and_o in_o this_o case_n at_o the_o time_n of_o inundation_n less_o abundance_n of_o water_n will_v have_v come_v to_o rome_n and_o yet_o nevertheless_o the_o measure_n of_o that_o river_n will_v have_v be_v increase_v five_o fontana_n deceive_v himself_o when_o he_o conclude_v that_o to_o remove_v the_o inundation_n from_o rome_n it_o will_v be_v necessary_a to_o make_v two_o other_o channel_n of_o river_n that_o be_v as_o large_a as_o that_o which_o be_v the_o present_a one_o and_o that_o less_o will_v not_o suffice_v which_o i_o say_v be_v a_o fallacy_n and_o to_o convince_v he_o easy_o of_o his_o error_n it_o suffice_v to_o say_v that_o all_o the_o stream_n be_v pass_v under_o the_o bridge_n quattro-capi_a as_o he_o himself_o atte_v a_o channel_n will_v suffice_v only_o of_o the_o capacity_n of_o the_o say_a bridge_n provide_v that_o the_o water_n there_o may_v run_v with_o the_o same_o velocity_n as_o it_o do_v under_o the_o bridge_n at_o the_o time_n of_o inundation_n and_o on_o the_o contrary_a twenty_o current_n of_o capacity_n equal_a to_o the_o present_a one_o will_v not_o suffice_v if_o the_o water_n shall_v run_v with_o twenty_o time_n less_o velocity_n than_o it_o make_v at_o the_o time_n of_o the_o inundation_n six_o to_o i_o it_o seem_v a_o great_a weakness_n to_o say_v that_o there_o shall_v pass_v under_o the_o bridge_n quattro-capi_a a_o hundred_o fifty_o one_o ell_n of_o water_n compress_v for_o that_o i_o do_v not_o understand_v that_o water_n be_v like_o cotton_n or_o wool_n which_o matter_n may_v be_v press_v and_o tread_v as_o it_o happen_v also_o to_o the_o air_n which_o receive_v compression_n in_o such_o sort_n that_o after_o that_o in_o some_o certain_a place_n a_o quantity_n of_o air_n shall_v be_v reduce_v to_o its_o natural_a constitution_n and_o have_v take_v up_o all_o the_o say_a place_n yet_o nevertheless_o compress_v the_o first_o air_n with_o force_n and_o violence_n it_o be_v reduce_v into_o far_o less_o room_n and_o will_v admit_v four_o or_o six_o time_n as_o much_o air_n as_o before_z as_o be_v experimental_o engine_n see_v in_o the_o windgun_n invent_v in_o our_o day_n by_o m._n vincenzo_n vincenti_fw-la of_o urbin_n which_o property_n of_o the_o air_n of_o admit_v condensation_n be_v also_o see_v in_o the_o portable_a fountain_n of_o the_o same_o m._n vincenzo_n which_o fountain_n spurt_v the_o water_n on_o high_a by_o force_n of_o the_o air_n compress_v which_o whilst_o it_o seek_v to_o reduce_v its_o self_n to_o its_o natural_a constitution_n in_o the_o dilation_n cause_v that_o violence_n but_o the_o water_n can_v never_o for_o any_o thing_n i_o know_v crowd_n or_o press_v so_o as_o that_o if_o before_o the_o compression_n it_o hold_v or_o possess_v a_o place_n be_v in_o its_o natural_a constitution_n i_o believe_v not_o i_o say_v that_o it_o be_v possible_a by_o press_v and_o crowd_v to_o make_v it_o possess_v less_o room_n for_o if_o it_o be_v possible_a to_o compress_v the_o water_n and_o make_v it_o to_o occupy_v a_o less_o place_n it_o will_v thence_o follow_v that_o two_o vessel_n of_o equal_a measure_n but_o of_o unequal_a height_n shall_v be_v of_o unequal_a capacity_n and_o that_o shall_v hold_v more_o water_n which_o be_v high_a also_o a_o cylinder_n or_o other_o vessel_n more_o high_a than_o broad_a will_v contain_v more_o water_n erect_v than_o be_v lay_v along_o for_o that_o be_v erect_v the_o water_n put_v therein_o will_v be_v more_o press_v and_o crowd_v and_o therefore_o in_o our_o case_n according_a to_o our_o principle_n we_o will_v say_v that_o the_o water_n of_o that_o stream_n pass_v all_o under_o the_o say_a bridge_n quattro-capi_a for_o that_o be_v there_o most_o swift_a it_o ought_v of_o consequence_n to_o be_v less_o in_o measure_n and_o here_o one_o may_v see_v into_o how_o many_o error_n a_o man_n may_v run_v through_o ignorance_n of_o a_o true_a and_o real_a principle_n which_o once_o know_v and_o well_o understand_v take_v away_o all_o mist_n of_o doubt_v and_o easy_o resolve_v all_o difficulty_n corollary_n xii_o through_o the_o same_o inadvertency_n of_o not_o regard_v the_o variation_n of_o velocity_n in_o the_o same_o current_n there_o be_v commit_v by_o ingineer_n and_o learned_a man_n error_n of_o very_a great_a moment_n and_o i_o can_v thereof_o produce_v example_n but_o for_o good_a reason_n i_o pass_v they_o over_o in_o silence_n when_o they_o think_v and_o propose_v by_o derive_v new_a channel_n from_o great_a river_n to_o diminish_v the_o measure_n of_o the_o water_n in_o the_o river_n and_o to_o diminish_v it_o proportional_o according_a to_o the_o measure_n of_o the_o water_n which_o they_o make_v to_o pass_v through_o the_o channel_n as_o make_v v._n g._n a_o channel_n fifty_o foot_n broad_a in_o which_o the_o derive_v water_n be_v to_o run_v waste_n ten_o foot_n deep_a they_o think_v they_o have_v diminish_v the_o measure_n of_o the_o water_n in_o the_o river_n five_o hundred_o foot_n which_o thing_n do_v not_o indeed_o so_o fall_v out_o and_o the_o reason_n be_v plain_a for_o that_o the_o channel_n be_v derive_v the_o rest_n of_o the_o main_a river_n diminish_v in_o velocity_n and_o therefore_o retain_v a_o great_a measure_n than_o it_o have_v at_o first_o before_o the_o derivation_n of_o the_o channel_n and_o moreover_o if_o the_o channel_n be_v derive_v it_o shall_v not_o conserve_v the_o same_o velocity_n which_o it_o have_v at_o first_o in_o the_o main_a river_n but_o shall_v diminish_v it_o it_o will_v be_v necessary_a that_o it_o have_v a_o great_a measure_n than_o it_o have_v before_o in_o the_o river_n and_o therefore_o to_o account_v aright_o there_o shall_v not_o be_v so_o much_o water_n derive_v into_o the_o channel_n as_o shall_v diminish_v the_o river_n according_a to_o the_o quantity_n of_o the_o water_n in_o the_o channel_n as_o be_v pretend_v corollary_n xiii_o this_o same_o consideration_n give_v i_o occasion_n to_o discover_v a_o most_o ordinary_a error_n observe_v by_o i_o in_o the_o business_n of_o the_o water_n of_o ferara_n when_o i_o be_v in_o those_o part_n in_o service_n of_o the_o most_o reverend_a and_o illustrious_a monsignor_n corsini_n the_o sublime_a wit_n of_o who_o have_v be_v a_o very_a great_a help_n to_o i_o in_o these_o contemplation_n it_o be_v very_o true_a i_o have_v be_v much_o perplex_v whether_o i_o shall_v commit_v this_o particular_a to_o paper_n or_o pass_v it_o over_o in_o silence_n for_o that_o i_o have_v ever_o doubt_v that_o the_o opinion_n so_o common_a and_o moreover_o confirm_v with_o a_o most_o manifest_a experiment_n may_v not_o only_o make_v this_o my_o conjecture_n to_o be_v esteem_v far_o from_o true_a but_o also_o to_o discredit_v with_o the_o world_n the_o rest_n of_o this_o my_o treatise_n nevertheless_o i_o have_v at_o last_o resolve_v not_o to_o be_v want_v to_o myself_o and_o to_o truth_n in_o a_o matter_n of_o itself_o and_o for_o other_o consequence_n most_o important_a nor_o do_v it_o seem_v to_o i_o requisite_a in_o difficult_a matter_n such_o as_o these_o we_o have_v in_o hand_n to_o resign_v ourselves_o to_o the_o common_a opinion_n since_o it_o will_v be_v very_o strange_a if_o the_o multitude_n in_o such_o matter_n shall_v hit_v on_o the_o truth_n nor_o aught_o that_o to_o be_v hold_v difficult_a in_o which_o even_o the_o vulgar_a do_v know_v the_o truth_n and_o right_n beside_o that_o i_o hope_v morever_o to_o prove_v all_o in_o such_o sort_n that_o person_n of_o solid_a judgement_n shall_v rest_v full_o persuade_v so_o that_o they_o but_o keep_v in_o mind_n the_o principal_a ground_n and_o foundation_n of_o all_o this_o treatise_n and_o though_o that_o which_o i_o will_v propose_v be_v a_o particular_a as_o i_o have_v say_v pertain_v only_o to_o the_o interest_n of_o
bring_v such_o a_o drift_n of_o sand_n into_o the_o port_n that_o if_o it_o do_v not_o whole_o choke_v they_o up_o it_o shall_v render_v they_o at_o least_o unprofitable_a and_o impossible_a for_o bark_n and_o great_a vessel_n many_o other_o consideration_n may_v be_v propound_v concern_v these_o two_o head_n of_o the_o stoppage_n of_o the_o port_n and_o of_o the_o appearance_n of_o the_o ouze_n and_o mud_n in_o the_o lake_n but_o so_o much_o shall_v suffice_v we_o to_o have_v hint_v to_o make_v way_n for_o discourse_v of_o the_o operation_n about_o the_o oportune_a remedy_n yet_o before_o that_o i_o propound_v my_o opinion_n i_o say_v that_o i_o know_v very_o well_o that_o my_o proposal_n at_o first_o sight_n will_v seem_v absurd_a and_o inconvenient_a and_o therefore_o as_o such_o will_v perhaps_o be_v reject_v by_o the_o most_o and_o so_o much_o the_o rather_o for_o that_o it_o will_v prove_v direct_o contrary_a to_o what_o have_v hitherto_o be_v and_o as_o i_o hear_v be_v intend_v to_o be_v do_v and_o i_o be_o not_o so_o wed_v to_o my_o opinion_n but_o that_o i_o do_v consider_v what_o other_o may_v judge_v thereof_o but_o be_v it_o as_o it_o will_v i_o be_o oblige_v to_o speak_v my_o thought_n free_o and_o that_o be_v do_v i_o will_v leave_v it_o to_o wise_a man_n than_o my_o s●lf_n when_o they_o shall_v have_v well_o consider_v my_o reason_n to_o judge_v and_o deliberate_v of_o the_o quid_fw-la agendum_fw-la and_o if_o the_o sentence_n shall_v go_v against_o i_o i_o appeal_v to_o the_o most_o equitable_a and_o inexorable_a tribunal_n of_o nature_n who_o not_o care_v in_o the_o least_o to_o please_v either_o one_o party_n or_o another_o will_v be_v always_o a_o punctual_a and_o inviolable_a executrix_fw-la of_o her_o eternal_a decree_n against_o which_o neither_o humane_a deliberation_n nor_o our_o vain_a desire_n shall_v ever_o have_v power_n to_o rebel_v i_o add_v by_o word_n of_o mouth_n that_o which_o follow_v though_o your_o highness_n interest_n yourself_o in_o this_o noble_a college_n and_o cause_v it_o to_o be_v confirm_v in_o the_o authority_n senate_n by_o universal_a vote_n that_o the_o wind_n do_v not_o blow_v that_o the_o sea_n do_v not_o fluctuate_v that_o the_o river_n do_v not_o run_v yet_o shall_v the_o wind_n be_v always_o deaf_a the_o sea_n shall_v be_v constant_a in_o its_o inconstancy_n and_o the_o river_n most_o obstinate_a and_o these_o shall_v be_v my_o judge_n and_o to_o their_o determination_n i_o refer_v myself_o by_o what_o have_v be_v say_v in_o my_o opinion_n that_o be_v make_v very_o clear_a and_o manifest_a which_o in_o the_o begin_n of_o this_o discourse_n i_o glance_v at_o namely_o that_o the_o whole_a disorder_n although_o it_o be_v divide_v into_o two_o head_n into_o the_o discovery_n of_o the_o mud_n and_o of_o the_o stoppage_n port_n yet_o nevertheless_o by_o the_o application_n of_o one_o only_a remedy_n and_o that_o in_o my_o esteem_n very_o easy_a the_o whole_a shall_v be_v remove_v and_o 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in_o equal_a time_n but_o that_o one_o of_o they_o shall_v be_v four_o time_n more_o swift_a than_o the_o other_o the_o more_o slow_a shall_v of_o necessity_n be_v four_o time_n more_o large_a and_o because_o the_o same_o river_n in_o any_o part_n thereof_o always_o discharge_v the_o same_o quantity_n of_o water_n in_o equal_a time_n as_o be_v demonstrate_v in_o the_o first_o proposition_n of_o the_o first_o book_n book_n of_o the_o measure_n of_o run_v water_n but_o yet_o do_v not_o run_v throughout_o with_o the_o same_o velocity_n hence_o it_o be_v that_o the_o vulgar_a measure_n of_o the_o say_a river_n in_o divers_a part_n of_o its_o channel_n be_v always_o divers_a insomuch_o that_o if_o a_o river_n pass_v through_o its_o channel_n have_v such_o velocity_n that_o it_o run_v 100_o brace_n in_o the_o 1_o 1_o 60_o of_o a_o hour-and_a afterward_o the_o say_a river_n shall_v be_v reduce_v to_o so_o much_o tardity_n of_o motion_n as_o that_o in_o the_o same_o time_n it_o shall_v not_o 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this_o be_v as_o much_o as_o i_o shall_v offer_v for_o the_o present_a touch_v this_o weighty_a buisiness_n always_o submit_v myself_o to_o sound_a judgement_n of_o the_o abovesaid_a write_n i_o present_v a_o copy_n at_o venice_n at_o a_o full_a college_n in_o which_o i_o read_v it_o all_o and_o it_o be_v hearken_v to_o with_o very_o great_a attention_n and_o at_o last_o i_o present_v it_o to_o the_o duke_n and_o leave_v some_o copy_n thereof_o with_o sundry_a senator_n and_o go_v my_o way_n promise_v with_o all_o intenseness_n to_o apply_v my_o pain_n with_o reiterated_a study_n in_o the_o public_a service_n and_o if_o any_o other_o thing_n shall_v come_v into_o my_o mind_n i_o promise_v to_o declare_v they_o sincere_o and_o so_o take_v leave_v of_o his_o serenity_n and_o that_o noble_a council_n when_o i_o be_v return_v to_o rome_n this_o business_n night_n and_o day_n continual_o run_v in_o my_o mind_n i_o happen_v to_o think_v of_o another_o admirable_a and_o most_o important_a conceit_n which_o with_o effectual_a reason_n confirm_v by_o exact_a operation_n i_o with_o the_o divine_a assistance_n make_v clear_a and_o manifest_a and_o though_o the_o thing_n at_o first_o sight_n seem_v to_o i_o a_o most_o extravagant_a paradox_n yet_o notwithstanding_o have_v satisfy_v myself_o of_o the_o whole_a business_n i_o send_v it_o in_o write_v to_o the_o most_o illustrious_a and_o most_o noble_a signore_v gio._n basadonna_n who_o after_o he_o have_v well_o consider_v my_o paper_n carry_v it_o to_o the_o council_n and_o after_o that_o those_o lord_n have_v for_o many_o month_n mature_o consider_v thereon_o they_o in_o the_o end_n resolve_v to_o suspend_v the_o execution_n of_o the_o diversion_n which_o they_o have_v before_o consult_v to_o make_v of_o the_o river_n sile_z and_o of_o four_o other_o river_n which_o also_o fall_v into_o the_o lake_n a_o thing_n by_o i_o blame_v in_o this_o second_o paper_n as_o most_o prejudicial_a and_o harmful_a the_o writing_n speak_v as_o follow_v consideration_n concern_v the_o lake_n of_o venice_n consideration_n ii_o if_o the_o discourse_v well_o about_o the_o truth_n of_o thing_n most_o serene_a prince_n be_v as_o the_o carry_n of_o burden_n in_o which_o we_o see_v that_o a_o hundred_o horse_n carry_v a_o great_a weight_n than_o one_o horse_n only_o it_o will_v seem_v that_o one_o may_v make_v more_o account_n of_o the_o opinion_n of_o many_o man_n than_o of_o one_o alone_a but_o because_o that_o discourse_v more_o resemble_v run_v than_o carry_v burden_n in_o which_o we_o see_v that_o one_o barb_n alone_o run_v fast_a than_o a_o hundred_o heavy-heeled_a jade_n therefore_o i_o have_v ever_o more_o esteem_v one_o conclusion_n well_o manage_v and_o well_o consider_v by_o one_o understanding_n man_n although_o alone_o than_o the_o common_a and_o vulgar_a opinion_n especial_o when_o they_o concern_v abstruse_a and_o arduous_a point_n nay_o in_o such_o case_n the_o opinion_n mould_v and_o frame_v by_o the_o most_o ignorant_a and_o stupid_a vulgar_a have_v be_v ever_o suspect_v by_o i_o as_o false_a for_o that_o it_o will_v be_v a_o great_a wonder_n if_o in_o difficult_a matter_n a_o common_a capacity_n shall_v hit_v upon_o that_o which_o be_v handsome_a good_a and_o true_a hence_o i_o have_v and_o do_v hold_v in_o very_o great_a veneration_n the_o sum_n of_o the_o government_n of_o the_o most_o serene_a and_o eternal_a republic_n of_o venice_n which_o although_o as_o be_v in_o nature_n a_o commonwealth_n it_o ought_v to_o be_v govern_v by_o the_o great_a part_n yet_o nevertheless_o in_o arduous_a affair_n it_o be_v always_o direct_v by_o the_o grave_a judgement_n of_o few_o and_o not_o judge_v blind_o by_o the_o plebeian_n rout._n it_o be_v true_a that_o he_o that_o propound_v
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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certain_a fisherman_n confirm_v this_o and_o show_v he_o the_o sign_n of_o the_o rise_n of_o the_o water_n i_o grant_v it_o to_o be_v very_o true_a and_o i_o have_v see_v it_o with_o my_o own_o eye_n but_o this_o come_v to_o pass_v when_o the_o mouth_n of_o fiume_n morto_fw-la be_v stop_v up_o by_o the_o sea_n as_o i_o shall_v show_v by_o and_o by_o and_o this_o rise_n near_o the_o seaside_n be_v of_o no_o considerable_a prejudice_n to_o the_o field_n and_o this_o be_v as_o much_o as_o i_o find_v to_o be_v true_a in_o the_o assertion_n of_o signore_fw-la bartolotti_n without_o his_o confirm_v it_o by_o any_o other_o proof_n as_o indeed_o it_o need_v none_o that_o the_o level_n of_o fiume_n morto_fw-la rise_v in_o e_o and_o many_o mile_n far_a upward_o it_o rise_v much_o nor_o do_v i_o ever_o affirm_v the_o contrary_n 3._o concern_v the_o difficulty_n of_o open_v the_o mouth_n of_o fiume_n morto_fw-la into_o the_o sea_n that_o which_o ill_n castellano_n say_v be_v most_o certain_a namely_o that_o at_o the_o entrance_n upon_o the_o open_n of_o the_o mouth_n it_o be_v necessary_a to_o make_v a_o deep_a trench_n but_o i_o say_v that_o at_o that_o time_n it_o be_v difficult_a to_o open_v it_o unless_o upon_o great_a occasion_n for_o that_o the_o difficulty_n proceed_v from_o the_o water_n of_o fiume_n morto_fw-la be_v low_o and_o the_o field_n drain_v 4._o as_o to_o the_o particular_a of_o the_o cause_n that_o you_o tell_v i_o man_n press_v so_o much_o unto_o the_o most_o serene_a grand_a duke_n and_o to_o the_o prince_n i_o have_v not_o much_o to_o say_v because_o it_o be_v not_o my_o profession_n nor_o have_v i_o consider_v of_o the_o same_o yet_o i_o believe_v that_o when_o the_o prince_n and_o his_o highness_n see_v the_o benefit_n of_o his_o people_n and_o subject_n in_o one_o scale_n of_o the_o balance_n and_o the_o accommodation_n of_o huntsman_n in_o the_o other_o his_o highness_n will_v incline_v to_o the_o profit_n of_o his_o subject_n such_o have_v i_o 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
distend_v for_o to_o this_o instance_n we_o answer_v with_o that_o which_o we_o have_v give_v notice_n of_o in_o the_o first_o consideration_n touch_v the_o lake_n of_o venice_n treat_v of_o the_o abatement_n that_o be_v cause_v by_o the_o brent_n let_v into_o the_o lake_n and_o moreover_o if_o i_o shall_v add_v thereto_o that_o which_o i_o write_v in_o the_o second_o consideration_n it_o will_v be_v very_o apparent_a how_o great_o harmful_a and_o prejudicial_a these_o excursion_n of_o water_n from_o fiume_n sisto_n may_v be_v which_o be_v not_o keep_v under_o and_o confine_v within_o the_o river_n therefore_o proceed_v to_o the_o provision_n and_o operation_n that_o be_v to_o be_v account_v principal_a i_o reduce_v they_o to_o three_o head_n in_o the_o first_o place_n it_o be_v necessary_a to_o throw_v down_o those_o wear_v and_o to_o take_v the_o pisciaries_n quite_o away_o observe_v a_o maxim_n in_o my_o judgement_n infallible_a that_o fish_v and_o sow_v be_v two_o thing_n that_o 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fiume_n sisto_n on_o the_o left_a hand_n and_o to_o procure_v that_o those_o water_n may_v run_v in_o the_o channel_n and_o not_o break_v forth_o and_o it_o be_v to_o be_v note_v that_o it_o be_v not_o enough_o to_o do_v one_o or_o two_o of_o those_o thing_n but_o we_o be_v to_o put_v they_o all_o in_o execution_n for_o omit_v any_o thing_n the_o whole_a machine_n will_v be_v out_o of_o tune_n and_o spoil_v but_o proceed_v with_o due_a care_n you_o shall_v not_o only_a drain_n the_o pontine_n fen_n but_o by_o mean_n of_o this_o last_o particular_a the_o current_n of_o fiume_n sisto_n shall_v scour_v its_o own_o channel_n of_o its_o self_n even_o to_o the_o carry_v part_n of_o it_o away_o and_o haply_o with_o this_o abundance_n of_o water_n that_o it_o shall_v bear_v the_o mouth_n della_fw-it torre_n may_v be_v open_v and_o keep_v open_a into_o the_o sea_n and_o it_o will_v last_o of_o all_o be_v of_o admirable_a benefit_n to_o cleanse_v fiume_n sisto_n from_o many_o tree_n and_o bush_n wherewith_o it_o be_v overgrow_v and_o with_o this_o i_o conclude_v that_o the_o improvement_n or_o drain_n possible_a to_o be_v make_v consist_v in_o these_o three_o particular_n first_o in_o take_v away_o the_o fish_n wear_v leave_v the_o course_n of_o the_o water_n free_a second_o in_o keep_v the_o principal_a river_n clear_a from_o weed_n and_o plant_n three_o in_o keep_v the_o water_n of_o fiume_n sisto_n in_o its_o own_o channel_n all_o which_o be_v thing_n that_o may_v be_v do_v with_o very_o little_a charge_n and_o to_o the_o manifest_a benefit_n of_o the_o whole_a country_n and_o to_o the_o render_v the_o air_n wholesome_o in_o all_o those_o place_n adjoin_v to_o the_o pontine_n fen_n a_o consideration_n upon_o the_o draining_n of_o the_o territory_n of_o bologna_n ferrara_n and_o romagna_fw-la by_o d._n benedetto_n castelli_n abbot_n of_o s._n benedetto_n aloisio_n mathematician_n to_o p._n vrban_n viii_o and_o professor_n in_o the_o university_n of_o rome_n the_o weghty_a business_n of_o the_o draining_n of_o the_o territory_n of_o bologna_n ferrara_n and_o romagna_n have_v be_v punctual_o handle_v and_o declare_v in_o write_v from_o the_o excellent_a memory_n of_o the_o right_n honourable_a and_o noble_a monsignore_n corsini_n who_o be_v heretofore_o depute_a commissary_n general_n and_o visitor_n of_o those_o water_n i_o be_o not_o able_a to_o make_v such_o another_o discourse_n upon_o the_o same_o subject_a but_o will_v only_o say_v somewhat_o for_o far_a confirmation_n of_o that_o which_o i_o have_v say_v in_o this_o book_n upon_o the_o lake_n of_o venice_n upon_o the_o pontine_n fen_n and_o upon_o the_o draining_n of_o those_o plain_n of_o pisa_n lie_v between_o the_o river_n arno_n and_o serchio_n whereby_o it_o be_v manifest_a that_o in_o all_o the_o aforementioned_a case_n and_o in_o the_o present_a one_o that_o we_o be_v in_o hand_n with_o there_o have_v in_o time_n past_a very_o gross_a error_n be_v commit_v through_o the_o not_o have_v ever_o 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shall_v have_v understand_v what_o i_o have_v say_v and_o demonstrate_v concern_v the_o manner_n and_o proportion_n according_a to_o which_o the_o abatement_n and_o rise_n of_o running_n water_n proceed_v that_o be_v make_v by_o the_o diversion_n and_o introduction_n of_o water_n will_v apprehend_v that_o my_o conjecture_n be_v ground_v upon_o reason_n and_o although_o i_o descend_v not_o to_o the_o exactness_n of_o particular_n i_o will_v open_v the_o way_n to_o other_o who_o have_v observe_v the_o requisite_a rule_n of_o consider_v the_o quantity_n of_o the_o water_n that_o be_v introduce_v or_o that_o happen_v to_o be_v divert_v shall_v be_v able_a with_o punctuality_n to_o examine_v the_o whole_a business_n and_o then_o resolve_v on_o that_o which_o shall_v be_v expedient_a to_o be_v do_v reflect_v therefore_o upon_o the_o first_o proposition_n that_o the_o rise_n of_o a_o run_v water_n make_v by_o the_o accession_n of_o new_a water_n into_o the_o river_n be_v to_o one_o another_o 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tide_n oppose_v the_o answer_n to_o the_o objection_n make_v against_o the_o motion_n of_o the_o terrestrial_a globe_n globe_n corpulenta_n the_o water_n more_o apt_a to_o conserve_v a_o impetus_fw-la conceive_v than_o the_o air._n light_a body_n easy_a to_o be_v move_v than_o heavy_a but_o less_o apt_a to_o conserve_v the_o motion_n it_o be_v more_o rational_a that_o the_o air_n be_v commove_v by_o the_o rugged_a surface_n of_o the_o earth_n than_o by_o the_o celestial_a motion_n the_o revolution_n of_o the_o earth_n confirm_v by_o a_o new_a argument_n take_v from_o the_o air._n the_o vaporous_a part_n of_o the_o earth_n partake_v of_o its_o motion_n constant_n gale_n within_o the_o tropic_n blow_v towards_o the_o west_n the_o course_n to_o the_o west_n india_n easy_a the_o return_n difficult_a wind_n from_o land_n make_v rough_a the_o sea_n another_o observation_n take_v from_o the_o air_n in_o confirmation_n of_o the_o motion_n of_o the_o earth_n earth_n which_o wind_n with_o our_o 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2._o genesi_fw-la ad_fw-la literam_fw-la in_o fine_a fine_a si_fw-mi fortasscerunt_fw-la mataeologi_fw-la qui_fw-la cum_fw-la omnum_fw-la mathematicum_fw-la ignari_fw-la sint_fw-la tamen_fw-la de_fw-la ●is_fw-la judicium_fw-la assumunt_fw-la propter_fw-la aliquem_fw-la locum_fw-la scripturae_fw-la malè_fw-la ad_fw-la suum_fw-la propositum_fw-la detortum_fw-la ausi_fw-la fuerint_fw-la hoc_fw-la meum_fw-la institutum_fw-la repre●endere_fw-la ac_fw-la insectari_fw-la illos_fw-la nihil_fw-la moror_fw-la adeò_fw-la ut_fw-la etiam_fw-la illorum_fw-la judicium_fw-la tanquam_fw-la temerarium_fw-la contemnam_fw-la non_fw-la enim_fw-la obscurum_fw-la est_fw-la lactantium_fw-la celelebrem_fw-la alioqui_fw-la scriptorem_fw-la sed_fw-la mathematicum_fw-la parvum_fw-la admodum_fw-la pueriliter_fw-la de_fw-la forma_fw-la terrae_fw-la loqui_fw-la cum_fw-la deridet_fw-la eos_fw-la qui_fw-la terram_fw-la glob●_n formam_fw-la habere_fw-la prodiderunt_fw-la itaque_fw-la non_fw-la debet_fw-la mirum_fw-la videri_fw-la studiosis_fw-la si_fw-la qui_fw-la tale_n nos_fw-la etiam_fw-la ridebunt_fw-la mathemata_fw-la mathematicis_fw-la scribuntur_fw-la quibus_fw-la &_o high_a nostri_fw-la labores_fw-la si_fw-la i_o non_fw-la fallit_fw-la opinio_fw-la videbuntur_fw-la etiam_fw-la reipublicae_fw-la ecclesiasticae_fw-la conducere_fw-la aliquid_fw-la cujus_fw-la principatum_fw-la tua_fw-la sanctitas_fw-la nunc_fw-la ten●●_n ten●●_n not_o definimus_fw-la deum_fw-la primò_fw-la n●tura_fw-la cognoscendum_fw-la deinde_fw-la doctrina_fw-la recognescendum_fw-la natura_fw-la ex_fw-la operibus_fw-la doctrina_fw-la ex_fw-la p●aedicationibus_fw-la tertul._n adver_o martion_n lib._n 1._o cap._n 18._o 18._o quaeri_fw-la etiam_fw-la solet_fw-la quae_fw-la forma_fw-la &_o figura_fw-la caeli_fw-la credenda_fw-la sit_fw-la secundum_fw-la scripturas_fw-la nostras_fw-la multi_fw-la enim_fw-la multum_fw-la disputant_n de_fw-la iis_fw-la ribus_fw-la quas_fw-la majori_fw-la prudentia_fw-la nostri_fw-la autores_fw-la omiserunt_fw-la ad_fw-la beatam_fw-la vitam_fw-la non_fw-la profuturas_fw-la discentibus_fw-la &_o occupaente_n quod_fw-la prius_fw-la est_fw-la multum_fw-la prolixa●_n &_o rebus_fw-la salubribus_fw-la impendenda_fw-la temporum_fw-la spatiae_fw-la quid_fw-la enim_fw-la ad_fw-la ●e_n pertinet_fw-la utrum_fw-la caelum_fw-la sicut_fw-la sphaera_fw-la undique_fw-la concludat_fw-la terram_fw-la in_fw-la media_fw-la mundi_fw-la ●ole_fw-la libratam_fw-la a_o eam_fw-la ex_fw-la una_fw-la parte_fw-la desuper_fw-la velut_fw-la discus_fw-la operiat_fw-la sed_fw-la quia●_n de_fw-la fide_fw-la agitur_fw-la scripturarum_fw-la propter_fw-la illam_fw-la causam_fw-la quam_fw-la non_fw-la semel_fw-la commemoravimus_fw-la ne_fw-la scilicet_fw-la quisquam_fw-la eloquia_fw-la divina_fw-la non_fw-la intelligens_fw-la cum_fw-la de_fw-la his_fw-la rebus_fw-la tale_n aliquid_fw-la vel_fw-la invenerit_fw-la in_o libris_fw-la nostris_fw-la vel_fw-la ex_fw-la illis_fw-la audiverit_fw-la quod_fw-la perceptis_fw-la assertionibus_fw-la adversari_fw-la videatur_fw-la nullo_n modo_fw-la eye_v ceterus_fw-la utilia_fw-la monentibus_fw-la vel_fw-la narrantibus_fw-la vel_fw-la prae●●●ntiantibus_fw-la credat_fw-la breviter_fw-la discendum_fw-la est_fw-la de_fw-fr figura_fw-la caeli_fw-la hoc_fw-la scisse_fw-la autores_fw-la nostros_fw-la quod_fw-la veritas_fw-la habet_fw-la sed_fw-la spiritum_fw-la dei_fw-la qui_fw-la per_fw-la ipsos_fw-la loquebatur_fw-la noluisse_fw-la ista_fw-la docere_fw-la homines_fw-la nulli_fw-la ad_fw-la salutem_fw-la profutura_fw-la d._n august_n lib._n 2._o de_fw-fr gen._n ad_fw-la literam_fw-la cap._n 9_o idem_fw-la etiam_fw-la legitur_fw-la apud_fw-la petrum_fw-la lombardum_fw-la magistrum_fw-la sententiarum_fw-la sententiarum_fw-la de_fw-fr moiety_n etiam_fw-la caeli_fw-la nonnulli_fw-la fra●tres_fw-la quaestionem_fw-la movent_fw-la utrum_fw-la stet_fw-la a_o moveatur_fw-la quia●_n si_fw-fr ●●●vetur_fw-la inquiunt_fw-la quomodo_fw-la firmamentum_fw-la est_fw-la si_fw-mi autem_fw-la stat_fw-la quomodo_fw-la sydera_fw-la quae_fw-la in_o ipso_fw-la fixa_fw-la creduntur_fw-la ab_fw-la oriente_fw-la in_o occidentem_fw-la circumeunt_fw-la septentrionalibus_fw-la breviores_fw-la gyros_fw-la juxta_fw-la cardinem_fw-la peragentibus_fw-la ut_fw-la caelum_fw-la si_fw-la est_fw-la alius_fw-la nobis_fw-la occulius_fw-la cardo_n ex_fw-la alio_fw-la vertice_fw-la sicut_fw-la sphaera_fw-la si_fw-la autem_fw-la nullus_fw-la alius_fw-la cardo_n est_fw-la vel_fw-la uti_fw-la discus_fw-la rotari_fw-la videatur_fw-la quibus_fw-la respondeo_fw-la multum_fw-la subtilibus_fw-la &_o laboriosis_fw-la rationibus_fw-la ista_fw-la perquiri_fw-la ut_fw-la veer_fw-la percipiaetur_fw-la utrum_fw-la ita_fw-la a_o non_fw-la ita_fw-la sit_fw-la quibus_fw-la ineundis_fw-la atque_fw-la tractandis_fw-la nec_fw-la mihi_fw-la jam_fw-la tempus_fw-la est_fw-la nec_fw-la illis_fw-la esse_fw-la debet_fw-la quos_fw-la ad_fw-la salutem_fw-la svam_fw-la è_fw-la sanctae_fw-la