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permission_n of_o salviatus_n i_o will_v answer_v something_o to_o simplicius_n in_o regard_n he_o have_v address_v himself_o to_o i_o and_o i_o say_v that_o in_o his_o discourse_n there_o be_v somewhat_o good_a and_o somewhat_o bad_a good_a because_o it_o be_v almost_o all_o true_a bad_a because_o it_o do_v not_o agree_v with_o our_o case_n truth_n be_v that_o when_o that_o which_o carry_v the_o stone_n with_o velocity_n shall_v meet_v with_o a_o check_n that_o be_v immovable_a they_o shall_v fly_v out_o with_o great_a impetuosity_n the_o same_o effect_n follow_v in_o that_o case_n which_o we_o see_v daily_o to_o fall_v out_o in_o a_o boat_n that_o run_v a_o swift_a course_n run_v aground_n or_o meet_v with_o some_o sudden_a stop_n for_o all_o those_o in_o the_o boat_n be_v surprise_v piece_n stumble_v forward_o
do_v not_o oblige_v we_o to_o receive_v those_o precept_n which_o they_o have_v not_o so_o much_o as_o in_o their_o intention_n enjoin_v but_o if_o they_o do_v reflect_v and_o consider_v thereon_o they_o will_v long_o since_o have_v condemn_v it_o if_o they_o have_v judge_v it_o erroneous_a which_o we_o do_v not_o find_v that_o they_o have_v do_v nay_o after_o that_o some_o divine_n have_v begin_v to_o consider_v it_o we_o find_v that_o they_o have_v not_o deem_v it_o erroneous_a as_o we_o read_v in_o the_o commentary_n of_o didacus_n a_o stunica_fw-la upon_o job_n in_o cap._n 9_o v_o 6._o on_o the_o word_n qui_fw-la commovet_fw-la terram_fw-la de_fw-la loco_fw-la svo_fw-la etc._n etc._n where_o he_o at_o large_a discourse_v upon_o the_o copernican_n hypothesis_n and_o conclude_v that_o the_o mobility_n of_o the_o earth_n be_v not_o contrary_a to_o scripture_n withal_o i_o may_v just_o question_v the_o truth_n of_o that_o determination_n namely_o that_o the_o church_n enjoin_v we_o to_o hold_v such_o like_a natural_a conclusion_n as_o matter_n of_o faith_n only_o because_o they_o bear_v the_o stamp_n of_o a_o unanimous_a interpretation_n of_o all_o the_o father_n and_o i_o do_v suppose_v that_o it_o may_v possible_o be_v that_o those_o who_o hold_v in_o this_o manner_n may_v possible_o have_v go_v about_o in_o favour_n of_o their_o own_o opinion_n to_o have_v amplify_v the_o decretal_a of_o the_o council_n which_o i_o can_v find_v in_o this_o case_n to_o prohibit_v any_o other_o save_v only_o pervert_v to_o sense_n contrary_a to_o that_o of_o holy_a church_n or_o of_o the_o concurrent_a consent_n of_o father_n those_o place_n and_o those_o only_a that_o do_v pertain_v either_o to_o faith_n or_o manner_n or_o concern_v our_o edification_n in_o the_o doctrine_n of_o christianity_n and_o thus_o speak_v the_o council_n of_o trent_n 4._o sess._n 4._o but_o the_o mobility_n or_o stability_n of_o the_o earth_n or_o of_o the_o sun_n be_v not_o matter_n of_o faith_n nor_o 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to_o be_v busy_v in_o examine_v the_o truth_n thereof_o let_v your_o highness_n be_v please_v to_o hear_v once_o again_o what_o s._n augustine_n answer_v to_o to_o those_o brethren_n who_o put_v the_o question_n whether_o it_o be_v true_a that_o heaven_n move_v or_o stand_v still_o informari_fw-la to_o these_o i_o answer_v that_o point_n of_o this_o nature_n require_v a_o curious_a and_o profound_a examination_n that_o it_o may_v true_o appear_v whether_o they_o be_v true_a or_o false_a a_o work_n inconsistent_a with_o my_o leisure_n to_o undertake_v or_o go_v through_o with_o nor_o be_v it_o any_o way_n necessary_a for_o those_o who_o we_o desire_v to_o inform_v of_o thing_n that_o more_o near_o concern_v their_o own_o salvation_n and_o the_o church_n benefit_n but_o yet_o although_o in_o natural_a proposition_n we_o be_v to_o take_v the_o resolution_n of_o condemn_v or_o admit_v they_o from_o text_n of_o scripture_n unanimous_o expound_v in_o the_o same_o sense_n by_o all_o the_o father_n yet_o do_v i_o not_o see_v how_o this_o rule_n can_v hold_v in_o our_o case_n for_o that_o upon_o the_o same_o place_n we_o read_v several_a exposition_n in_o the_o father_n areop_n dionysius_n areopagita_n say_v that_o the_o primum_fw-la mobile_n and_o not_o the_o sun_n stand_v still_o saint_n augustine_n be_v of_o the_o same_o opinion_n substitisse_fw-la all_o the_o celestial_a body_n be_v immovable_a and_o with_o they_o concur_v abulensis_n but_o which_o be_v more_o among_o the_o jewish_a author_n who_o josephus_n applaud_v some_o have_v hold_v visumesse_n that_o the_o sun_n do_v not_o real_o stand_v still_o but_o seem_v so_o to_o do_v during_o the_o short_a time_n in_o which_o israel_n give_v the_o overthrow_n to_o their_o enemy_n so_o for_o the_o miracle_n in_o the_o time_n of_o hezekiah_n paulus_n burgensis_n be_v of_o opinion_n that_o it_o be_v not_o wrought_v on_o the_o sun_n but_o on_o the_o dial_n but_o that_o in_o short_a it_o be_v necessary_a to_o gloss_n and_o interpret_v the_o word_n of_o the_o text_n in_o joshua_n when_o ever_o the_o world_n systeme_n be_v in_o dispute_n 38._o i_o shall_v show_v anon_o now_o final_o grant_v to_o these_o gentleman_n more_o than_o they_o demand_v to_o wit_n that_o we_o be_v whole_o to_o acquiesce_v in_o the_o judgement_n of_o judicious_a divine_n and_o that_o in_o regard_n that_o such_o a_o particular_a disquisition_n be_v not_o find_v to_o have_v be_v make_v by_o the_o ancient_a father_n it_o may_v be_v undertake_v by_o the_o sage_n of_o our_o age_n who_o have_v first_o hear_v the_o experiment_n observation_n reason_n and_o demonstration_n of_o philosopher_n and_o astronomer_n on_o the_o one_o side_n and_o on_o the_o other_o see_v that_o the_o controversy_n be_v about_o natural_a problem_n and_o necessary_a dilemma_n and_o which_o can_v possible_o be_v otherwise_o than_o in_o one_o of_o the_o two_o manner_n in_o controversy_n they_o may_v with_o competent_a certainty_n determine_v what_o divine_a 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demonstration_n may_v in_o time_n to_o come_v evince_v the_o contrary_a of_o that_o which_o the_o naked_a sense_n of_o the_o word_n sound_v they_o have_v not_o only_o proceed_v with_o great_a circumspection_n but_o have_v leave_v the_o follow_a precept_n for_o the_o instruction_n of_o other_o seq_n in_o point_n obscure_a and_o remote_a from_o our_o sight_n if_o we_o come_v to_o read_v any_o thing_n out_o of_o sacred_a writ_n that_o with_o a_o salvo_n to_o the_o faith_n that_o we_o have_v imbue_v may_v correspond_v with_o several_a construction_n let_v we_o not_o so_o far_o throw_v ourselves_o upon_o any_o of_o they_o with_o a_o precipitous_a obstinacy_n as_o that_o if_o perhaps_o the_o truth_n be_v more_o diligent_o search_v into_o it_o shall_v just_o fall_v to_o the_o ground_n we_o may_v fall_v together_o with_o it_o and_o so_o show_v that_o we_o contend_v not_o for_o the_o sense_n of_o divine_a scripture_n but_o our_o own_o in_o that_o we_o
will_v have_v that_o which_o be_v our_o own_o to_o be_v the_o sense_n of_o scripture_n when_o as_o we_o shall_v rather_o desire_v the_o scripture_n meaning_n to_o be_v we_o he_o go_v on_o and_o a_o little_a after_o teach_v we_o that_o no_o proposition_n can_v be_v against_o the_o faith_n unless_o first_o it_o be_v demonstrate_v false_a say_v ibid._n it_o be_v not_o all_o the_o while_o contrary_a to_o faith_n until_o it_o be_v disprove_v by_o most_o certain_a truth_n which_o if_o it_o shall_v so_o be_v the_o holy_a scripture_n affirm_v it_o not_o but_o humane_a ignorance_n suppose_v it_o whereby_o we_o see_v that_o the_o sense_n which_o we_o impose_v on_o text_n of_o scripture_n will_v be_v false_a when_o ever_o they_o shall_v disagree_v with_o truth_n demonstrate_v and_o therefore_o we_o ought_v by_o help_n of_o demonstrate_v truth_n to_o seek_v the_o undoubted_a sense_n of_o scripture_n and_o not_o according_a to_o the_o sound_n of_o the_o word_n that_o may_v seem_v true_a to_o our_o 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stupendous_a city_n of_o venice_n where_o i_o converse_v with_o signore_v giovan_n francisco_n sagredo_n of_o a_o noble_a extraction_n and_o pierce_a wit_n there_o come_v thither_o from_o florence_n at_o the_o same_o time_n signore_v filippo_n salviati_n who_o least_o glory_n be_v the_o eminence_n of_o his_o blood_n and_o magnificence_n of_o his_o estate_n a_o sublime_a wit_n that_o feed_v not_o more_o hungerly_o upon_o any_o pleasure_n than_o on_o elevate_a speculation_n in_o the_o company_n of_o these_o two_o i_o often_o discourse_v of_o these_o matter_n before_o a_o certain_a peripatetic_a philosopher_n who_o seem_v to_o have_v no_o geat_a obstacle_n in_o understanding_n of_o the_o truth_n than_o the_o fame_n he_o have_v acquire_v by_o aristotelical_a interpretation_n now_o see_v that_o inexorable_a death_n have_v deprive_v venice_n and_o florence_n of_o those_o two_o great_a light_n in_o the_o very_a meridian_n of_o their_o year_n i_o do_v resolve_v as_o far_o as_o my_o poor_a 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condescend_v to_o the_o apprehension_n of_o the_o vulgar_a 432_o in_o dicuss_v of_o natural_a question_n we_o ought_v not_o to_o begin_v at_o scripture_n but_o at_o sensible_a experiment_n and_o necessary_a demonstration_n 433_o the_o intent_n of_o scripture_n be_v by_o its_o authority_n to_o recommend_v those_o truth_n to_o our_o belief_n which_o be_v un-intelligible_a can_v no_o other_o way_n be_v render_v credible_a 434_o scripture_n authority_n to_o be_v prefer_v even_o in_o natural_a controversy_n to_o such_o science_n as_o be_v not_o confine_v to_o a_o demonstrative_a method_n 434_o the_o penman_n of_o scripture_n though_o read_v in_o astronomy_n intentional_o forbear_v to_o teach_v we_o any_o thing_n of_o the_o nature_n of_o the_o star_n 435_o the_o spirit_n have_v no_o intent_n at_o the_o write_n of_o the_o scripture_n to_o teach_v we_o whether_o the_o earth_n move_v or_o stand_v still_o as_o nothing_o concern_v our_o salvation_n 436_o inconvenience_n that_o arise_v from_o 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for_o the_o reason_n allege_v admit_v in_o many_o place_n exposition_n far_o from_o the_o sense_n of_o the_o word_n and_o moreover_o we_o not_o be_v able_a to_o affirm_v that_o all_o interpreter_n speak_v by_o divine_a inspiration_n for_o if_o it_o be_v so_o then_o there_o will_v be_v no_o difference_n between_o they_o about_o the_o sense_n of_o the_o same_o place_n i_o shall_v think_v that_o it_o will_v be_v a_o act_n of_o great_a prudence_n to_o make_v it_o unlawful_a for_o any_o one_o to_o usurp_v text_n of_o scripture_n and_o as_o it_o be_v to_o force_v they_o to_o maintain_v this_o or_o that_o natural_a conclusion_n for_o truth_n of_o which_o sense_n &_o demonstrative_a and_o necessary_a reason_n may_v one_o time_n or_o other_o assure_v we_o the_o contrary_a for_o who_o will_v prescribe_v bound_n to_o the_o wit_n of_o man_n who_o will_v assert_v that_o all_o that_o be_v sensible_a and_o knowable_a in_o the_o world_n be_v already_o discover_v and_o know_v will_v not_o they_o that_o 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either_o in_o respect_n of_o the_o universe_n or_o only_o in_o respect_n of_o the_o earth_n and_o we_o if_o so_o be_v that_o the_o sun_n turn_v round_o according_a to_o the_o hypothesis_n of_o the_o common_a systeme_n do_v not_o cause_v the_o night_n and_o day_n but_o only_o to_o opacous_a body_n which_o be_v destitute_a of_o all_o other_o light_n but_o that_o of_o the_o sun_n whilst_o in_o their_o half_a part_n which_o be_v their_o hemisphere_n and_o no_o more_o for_o that_o the_o sun_n light_n pass_v over_o but_o one_o half_a of_o a_o opacous_a body_n unless_o a_o very_a small_a matter_n more_o in_o those_o of_o lesser_a bulk_n they_o be_v illuminate_v by_o the_o sun_n aspect_n the_o other_o half_o remain_v dark_a and_o tenebrose_fw-la by_o reason_n of_o a_o shadow_n proceed_v from_o its_o own_o body_n therefore_o the_o distinction_n of_o day_n by_o the_o light_n of_o heaven_n according_a to_o the_o description_n of_o they_o in_o the_o sacred_a scripture_n must_v not_o be_v understand_v absolute_o and_o secundum_fw-la se_fw-la and_o nature_n herself_o but_o in_o respect_n of_o the_o earth_n and_o of_o we_o its_o inhabitant_n and_o consequent_o secundum_fw-la nos_fw-la it_o be_v not_o therefore_o new_a nor_o unusual_a in_o sacred_a scripture_n to_o speak_v of_o thing_n secundum_fw-la nos_fw-la and_o only_o in_o respect_n of_o we_o and_o secundum_fw-la apparentiam_fw-la but_o not_o secundum_fw-la se_fw-la and_o rei_fw-la naturam_fw-la or_o absolute_o and_o simple_o and_o if_o any_o one_o will_v understand_v these_o day_n of_o sacred_a scripture_n not_o only_a secundum_fw-la nos_fw-la but_o also_o secundum_fw-la naturam_fw-la as_o circulation_n of_o celestial_a light_n return_v to_o the_o self_n same_o point_n from_o whence_o it_o do_v at_o first_o proceed_v so_o as_o that_o there_o need_v no_o respect_n to_o be_v have_v to_o night_n or_o to_o umbram_fw-la darkness_n for_o which_o sole_a reason_n we_o be_v fain_o to_o embrace_v the_o interpretation_n of_o sacred_a scripture_n secundum_fw-la nos_fw-la in_o opposition_n to_o this_o we_o may_v thus_o argue_v if_o the_o sacred_a scripture_n be_v understand_v to_o speak_v absolute_o of_o iterate_a and_o successive_a circulation_n of_o light_n and_o not_o respectu_fw-la nostri_fw-la as_o if_o these_o word_n evening_n and_o morning_n have_v never_o be_v insert_v which_o in_o their_o natural_a acceptation_n denote_v the_o sun_n habitude_n to_o we_o and_o to_o the_o earth_n for_o that_o the_o morning_n be_v that_o time_n when_o the_o sun_n begin_v to_o wax_v light_n and_o to_o rise_v above_o the_o horizon_n in_o the_o east_n and_o become_v visible_a in_o our_o hemisphere_n and_o evening_n be_v the_o time_n in_o which_o the_o sun_n decline_v in_o the_o west_n and_o approach_v with_o its_o light_n near_o to_o the_o other_o opposite_a horizon_n and_o hemisphere_n which_o be_v contiguous_a to_o this_o of_o we_o but_o the_o word_n day_n be_v a_o correlative_a to_o the_o word_n night_n from_o hence_o therefore_o it_o evident_o appear_v that_o these_o three_o word_n evening_n morning_n and_o day_n can_v be_v understand_v of_o a_o circulation_n of_o light_n secundum_fw-la se_fw-la and_o absolutè_fw-la but_o only_o secundum_fw-la nos_fw-la and_o respectu_fw-la nostri_fw-la and_o in_o that_o sense_n indeed_o the_o morning_n and_o evening_n do_v make_v the_o night_n and_o day_n in_o like_a manner_n gen._n 1._o 16._o it_o be_v say_v god_n make_v two_o great_a light_n the_o great_a light_n to_o rule_v the_o day_n and_o the_o lesser_a light_n to_o rule_v the_o night_n and_o the_o star_n where_o both_o in_o the_o proposition_n and_o in_o the_o specification_n of_o it_o thing_n be_v speak_v which_o be_v very_o disagree_v with_o celestial_a body_n therefore_o those_o word_n be_v in_o that_o place_n to_o be_v interpret_v according_a to_o the_o foresay_a rule_n namely_o according_a to_o the_o three_o and_o four_o so_o that_o they_o may_v be_v say_v to_o be_v understand_v according_a to_o the_o sense_n of_o the_o vulgar_a and_o the_o common_a way_n of_o speak_v which_o be_v all_o one_o as_o if_o we_o shall_v say_v secundum_fw-la apparentiam_fw-la and_o secundum_fw-la nos_fw-la vel_fw-la respectu_fw-la nostri_fw-la for_o first_o it_o be_v say_v in_o the_o proposition_n and_o god_n make_v two_o great_a light_n meaning_n by_o they_o the_o sun_n and_o moon_n whereas_o according_a to_o the_o truth_n of_o the_o matter_n these_o be_v not_o the_o great_a light_n for_o although_o the_o sun_n may_v be_v reckon_v among_o the_o great_a the_o moon_n may_v not_o be_v so_o unless_o in_o respect_n of_o we_o because_o among_o those_o that_o be_v absolute_o the_o great_a and_o a_o little_o lesser_a than_o the_o sun_n nay_o in_o a_o manner_n equal_a to_o it_o and_o far_o big_a than_o the_o moon_n heaven_n we_o may_v with_o great_a reason_n enumerate_v saturn_n or_o some_o of_o the_o fix_a star_n of_o the_o first_o
magnitude_n such_o as_o canopus_n otherwise_o call_v arcanar_n in_o the_o end_n of_o a_o river_n or_o the_o little_a dog_n in_o the_o mouth_n of_o the_o great_a dog_n or_o the_o foot_n of_o orion_n call_v rigel_n or_o his_o right_a shoulder_n or_o any_o other_o of_o that_o magnitude_n therefore_o the_o two_o great_a light_n be_v to_o be_v understand_v in_o respect_n of_o we_o and_o according_a to_o vulgar_a estimation_n and_o not_o according_a to_o the_o true_a and_o real_a existence_n of_o such_o body_n second_o in_o the_o specification_n of_o the_o proposition_n it_o be_v say_v the_o great_a light_n to_o rule_v the_o day_n hereby_o denote_v the_o sun_n in_o which_o the_o verbal_a sense_n of_o scripture_n agree_v with_o the_o truth_n of_o the_o thing_n for_o that_o the_o sun_n be_v the_o great_a of_o all_o luminary_n and_o globe_n but_o that_o which_o follow_v immediate_o after_o and_o the_o lesser_a light_n to_o rule_v the_o night_n mean_v the_o moon_n can_v be_v take_v in_o the_o true_a and_o real_a sense_n of_o the_o word_n for_o the_o moon_n be_v not_o the_o lesser_a light_n but_o mercury_n which_o be_v not_o only_o much_o lesser_a than_o the_o moon_n but_o also_o than_o any_o other_o star_n and_o if_o again_z it_o be_v say_v that_o the_o holy_a text_n do_v not_o speak_v of_o the_o star_n but_o only_o of_o the_o luminary_n for_o that_o present_o after_o they_o be_v mention_v apart_o and_o the_o star_n and_o that_o what_o we_o say_v be_v true_a touch_v the_o comparison_n of_o the_o star_n among_o themselves_o but_o not_o in_o respect_n of_o the_o luminary_n namely_o the_o sun_n and_o moon_n this_o reply_n do_v discover_v a_o man_n to_o be_v utter_o ignorant_a in_o these_o study_n and_o such_o who_o have_v not_o the_o least_o smattering_n in_o they_o do_v conceive_v a_o absurd_a and_o erroneous_a opinion_n of_o the_o celestial_a body_n for_o the_o moon_n and_o sun_n consider_v in_o themselves_o and_o as_o they_o appear_v to_o we_o if_o they_o shall_v be_v a_o far_o great_a distance_n from_o we_o than_o indeed_o they_o be_v will_v be_v no_o other_o nor_o will_v appear_v to_o we_o otherwise_o than_o star_n as_o the_o rest_n do_v in_o the_o firmament_n but_o great_a luminary_n they_o neither_o be_v thing_n nor_o seem_v to_o be_v save_v only_o in_o respect_n of_o we_o and_o so_o on_o the_o other_o side_n the_o star_n as_o to_o themselves_o be_v no_o other_o than_o so_o many_o sun_n and_o so_o many_o moon_n yet_o be_v so_o far_o remote_a from_o we_o that_o by_o reason_n of_o their_o distance_n they_o appear_v thus_o small_a and_o dim_a of_o light_n as_o we_o behold_v they_o for_o the_o great_a and_o lesser_a distance_n of_o heavenly_a body_n caeteris_fw-la paribus_fw-la do_v augment_v and_o diminish_v their_o appearance_n both_o as_o to_o magnitude_n and_o light_n and_o therefore_o the_o word_n which_o follow_v in_o that_o place_n of_o genesis_n and_o the_o star_n as_o distinguish_v the_o star_n from_o the_o sun_n and_o moon_n be_v to_o be_v take_v in_o no_o other_o acceptation_n than_o that_o which_o we_o have_v speak_v of_o namely_o according_a to_o the_o sense_n of_o the_o vulgar_a and_o the_o common_a manner_n of_o speech_n for_o indeed_o according_a to_o the_o truth_n of_o the_o matter_n all_o celestial_a body_n be_v shine_a globe_n be_v of_o a_o vast_a bigness_n to_o which_o if_o we_o shall_v be_v so_o near_o as_o we_o be_v to_o the_o moon_n they_o will_v seem_v to_o we_o of_o as_o great_a yea_o a_o great_a magnitude_n than_o the_o moon_n as_o likewise_o on_o the_o contrary_a if_o we_o be_v as_o far_o distant_a from_o the_o sun_n and_o moon_n as_o we_o be_v from_o they_o both_o moon_n and_o sun_n will_v show_v but_o as_o star_n to_o we_o and_o yet_o the_o splendour_n of_o the_o sun_n will_v doubtless_o be_v great_a intensiuè_n than_o that_o of_o any_o other_o star_n for_o although_o it_o shall_v be_v grant_v that_o some_o star_n as_o those_o of_o the_o fix_v that_o twinkle_n do_v shine_v of_o themselves_o and_o by_o their_o own_o nature_n as_o the_o sun_n that_o derive_v not_o its_o light_n from_o other_o which_o yet_o remain_v undecided_a and_o doubtful_a and_o borrow_v not_o their_o light_n from_o the_o sun_n nevertheless_o since_o the_o brightness_n of_o none_o of_o the_o star_n may_v be_v compare_v with_o the_o sun_n splendour_n which_o be_v create_v by_o god_n first_o and_o before_o all_o other_o luminary_n in_o the_o high_a kind_n of_o light_n it_o will_v therefore_o notwithstanding_o follow_v that_o none_o of_o those_o star_n although_o place_v in_o the_o same_o proximity_n to_o we_o with_o the_o sun_n and_o therefore_o appear_v to_o we_o of_o the_o same_o magnitude_n as_o the_o sun_n can_v bestow_v upon_o we_o so_o much_o light_n as_o we_o receive_v from_o the_o sun_n as_o on_o the_o contrary_a the_o sun_n at_o the_o same_o remoteness_n from_o we_o as_o they_o be_v will_v indeed_o as_o to_o its_o magnitude_n appear_v to_o we_o as_o one_o of_o those_o star_n but_o of_o a_o splendour_n much_o more_o intense_a than_o that_o of_o they_o so_o that_o star_n now_o the_o earth_n be_v nothing_o else_o but_o another_o moon_n or_o star_n and_o so_o will_v it_o appear_v to_o we_o if_o we_o shall_v behold_v it_o from_o a_o convenient_a distance_n on_o high_a and_o in_o it_o may_v be_v observe_v in_o that_o variety_n of_o light_n and_o darkness_n which_o the_o sun_n produce_v in_o it_o by_o make_v day_n and_o night_n the_o same_o difference_n of_o aspect_n that_o be_v see_v in_o the_o moon_n and_o such_o as_o be_v observe_v in_o tricorporate_a venus_n in_o like_a manner_n also_o it_o be_v very_o probable_a that_o the_o same_o may_v be_v discern_v in_o other_o planet_n which_o shine_v by_o no_o light_n of_o their_o own_o but_o by_o one_o borrow_v from_o the_o sun_n what_o ever_o therefore_o may_v touch_a these_o matter_n be_v deliver_v in_o the_o sacred_a leave_n or_o the_o common_a speech_n of_o man_n dissent_v from_o the_o real_a truth_n it_o ought_v as_o we_o have_v say_v before_o absolute_o to_o be_v receive_v and_o understand_v secundum_fw-la vulgi_fw-la sententiam_fw-la &_o communem_fw-la loquendi_fw-la &_o concipiendi_fw-la stylum_fw-la and_o so_o to_o return_v to_o our_o purpose_n if_o all_o this_o consider_v the_o pythagorean_n opinion_n be_v true_a it_o will_v be_v easy_a according_a to_o the_o same_o rule_n to_o reconcile_v the_o authority_n of_o sacred_a scripture_n with_o it_o however_o they_o seem_v to_o oppose_v it_o and_o in_o particular_a those_o of_o the_o first_o and_o second_o classis_fw-la scilicet_fw-la by_o my_o first_o maxim_n for_o that_o in_o those_o place_n the_o holy_a record_n speak_v according_a to_o our_o manner_n of_o understanding_n and_o according_a to_o that_o which_o appear_v in_o respect_n of_o we_o earth_n for_o thus_o it_o be_v with_o those_o body_n in_o comparison_n of_o we_o and_o as_o they_o be_v describe_v by_o the_o vulgar_a and_o common_a way_n of_o humane_a discourse_n so_o that_o the_o earth_n appear_v as_o if_o it_o be_v stand_v still_o and_o immovable_a and_o the_o sun_n as_o if_o it_o be_v circumambient_a about_o she_o and_o so_o the_o holy_a scripture_n be_v use_v in_o the_o commune_fw-la and_o vulgar_a way_n of_o speak_v because_o in_o respect_n of_o our_o sight_n the_o earth_n seem_v rather_o to_o stand_v fix_v in_o the_o centre_n and_o the_o sun_n to_o circumvolve_v about_o it_o than_o otherwise_o as_o it_o happen_v to_o those_o that_o be_v put_v off_o from_o the_o bank_n of_o a_o river_n to_o who_o the_o shore_n seem_v to_o move_v backward_o and_o go_v from_o they_o but_o they_o do_v not_o perceive_v which_o yet_o be_v the_o truth_n that_o they_o themselves_o go_v forward_o which_o fallacy_n of_o our_o sight_n be_v note_v and_o the_o reason_n thereof_o assign_v by_o the_o optic_n upon_o which_o as_o be_v strange_a to_o and_o beside_o my_o purpose_n i_o will_v not_o stay_v and_o on_o this_o account_n be_v aeneas_n bring_v in_o by_o virgil_n say_v provehimur_fw-la portu_fw-la terraeque_fw-la urbesque_fw-la recedunt_fw-la but_o it_o will_v not_o be_v amiss_o to_o consider_v why_o the_o sacred_a scripture_n do_v so_o studious_o comply_v with_o the_o opinion_n of_o the_o vulgar_a 3._o and_o why_o it_o do_v not_o rather_o accurate_o instruct_v man_n in_o the_o truth_n of_o the_o matter_n and_o the_o secret_n of_o nature_n the_o reason_n be_v first_o the_o benignity_n of_o divine_a wisdom_n whereby_o it_o sweet_o accomodate_v itself_o to_o all_o thing_n in_o proportion_n to_o their_o capacity_n and_o nature_n whence_o in_o natural_a science_n it_o use_v natural_a and_o necessary_a cause_n but_o in_o liberal_a art_n it_o work_v liberal_o upon_o generous_a person_n after_o a_o sublime_a and_o lofty_a manner_n upon_o the_o common_a people_n familiar_o and_o humble_o upon_o the_o skilful_a
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 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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
those_o channel_n for_o iustance_n which_o former_o be_v navigable_a unto_o the_o very_a wall_n of_o york_n and_o salisbury_n &c_n &c_n our_o port_n be_v choke_v and_o obstruct_v by_o shelf_n and_o setlement_n our_o fen_n do_v in_o a_o great_a part_n lie_v waste_n and_o unimproved_a now_o all_o these_o may_v be_v and_o as_o i_o find_v by_o the_o confession_n of_o some_o who_o practice_n upon_o the_o copy_n of_o the_o first_o book_n only_o of_o our_o author_n have_v get_v they_o both_o money_n and_o reputation_n in_o part_n have_v be_v remedy_v by_o the_o way_n and_o mean_n he_o here_o set_v down_o the_o truth_n be_v the_o argument_n have_v be_v pass_v over_o with_o a_o universal_a silence_n so_o that_o to_o this_o day_n i_o have_v not_o see_v any_o thing_n that_o have_v be_v write_v demonstrative_o and_o with_o mathematical_a certainty_n concern_v the_o same_o save_v only_o what_o this_o learned_a prelate_n have_v deliver_v of_o his_o own_o invention_n in_o these_o treatise_n who_o 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or_o plat_v of_o all_o the_o river_n lake_n fen_n etc._n etc._n mention_v through_o out_o the_o work_n and_o if_o i_o have_v not_o keep_v touch_n in_o point_n of_o time_n let_v it_o be_v consider_v that_o i_o be_o the_o translator_n and_o not_o the_o printer_n to_o conclude_v according_a to_o your_o acceptance_n of_o these_o my_o endeavour_n you_o may_v expect_v some_o other_o tract_n of_o no_o less_o profit_n and_o delight_n farewell_n t._n s._n errata_fw-la of_o the_o second_o part_n of_o the_o first_o tome_n in_o preface_n read_v ferdinando_n ii_o ibid._n l'aqua_fw-la page_z 2._o line_n 26_o for_o must_v read_v much_o p._n 3._o l._n 22_o r._n and_o let_v l._n 25._o r._n water_n from_o l._n 41._o r._n tappe_n as_o every_o where_o else_o page_n 4._o l._n 18._o r_o cord_n page_n 6._o l._n 9_o r._n acquire_v or_o page_n 9_o l._n 1._o r._n irreperable_a p._n 10._o l._n 13._o r._n dissimboguement_fw-fr for_o page_n 17._o r._n p._n 15._o p._n 15._o l._n 27_o r._n in_o l._n 36_o r._n be_v as_o l._n 38_o r._n panaro_n p._n 17._o l._n 12_o giulto_n l._n 17._o r._n measurer_n l._n 25_o r._n measure_v it_o r._n necessary_o p._n 23._o l._n 19_o r._n for_o help_n for_o page_n 31._o r._n p._n 32._o p._n 24._o l._n 14_o r._n to_o l._n 17_o r._n nam_o of_o the._n l._n 23_o r._n easy_a p._n 25._o l._n 38._o r._n cock_n p._n 29._o l._n 7._o r._n last_v p._n 31._o l._n 32._o r._n soâ—_n p._n 41._o l._n 20._o r._n to_o the_o line_n p._n 48._o l._n 19_o r._n us_o the_o *_o id_fw-la figure_n false_a p._n 52._o l._n 30_o and_o 31._o for_o theorem_fw-la r._n proposition_n p._n 53._o l._n 29._o r._n again_o p._n 57_o l._n 19_o r._n same_o if_o l._n 44._o r._n bodily_a p._n 58._o l._n 9_o r._n gather_v l._n 40._o omit_v p._n 60._o l._n 2._o omit_v if_o p._n 65._o l._n 1._o r._n tide_n deal_n p._n 66._o l._n 35._o r._n stoppage_n of_o p._n 68_o l._n 12_o for_o lord_n the_o r._n lord_n l._n ult_n for_o they_o r._n it_n p._n 69._o l._n 14._o r._n to_o one_o id_fw-la carry_v deal_n to_o p._n 71._o l._n 20_o r._n and_o that_o l._n 25_o r._n brace_n it_o l._n 29._o r._n brace_n l._n 44_o r_o the_o breâ—t_n p._n 72._o l._n 23._o r._n serene_a highness_n p._n 73._o l._n 24_o r._n deliberation_n l._n 26_o for_o sum_n r._n moddel_n l._n 40._o r._n month_n p._n 79._o l._n 18._o r._n that_o into_o p._n 82._o l._n 22._o deal_n p._n 85._o l._n 9_o 10._o deal_n a_o free_a drame_n p._n 88_o l._n 5._o r._n palm_n p._n 89._o l._n 8._o r._n prince_n p._n 92._o l._n 3._o r._n discourse_n p._n 93._o l._n 31._o r._n tautology_n p._n 94._o l._n 9_o r._n miracle_n p._n 97._o l._n 13._o r._n weighty_a p._n 101._o l._n 21._o r._n marrara_n p._n 107._o l._n 28_o r._n patrimony_n l._n 40_o r._n above_o p._n 111._o l._n 16._o r._n say_v for_o p._n 432._o r._n p._n 114._o p._n 114._o l._n 35._o r._n of_o 200._o l._n 41._o r._n close_v p._n 115._o l._n 29._o r._n constant_a of_o the_o mensuration_n of_o run_v water_n lib_fw-la i._o what_o and_o of_o how_o great_a moment_n the_o consideration_n of_o 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ferara_n yet_o nevertheless_o from_o this_o particular_a doctrine_n well_o understand_v good_a judgement_n may_v be_v make_v of_o other_o the_o like_a case_n in_o general_n i_o say_v then_o for_o great_a perspecuity_n and_o better_a understanding_n of_o the_o whole_a that_o about_o thirteen_o mile_n above_o ferara_n near_o to_o stellata_fw-la the_o main_a of_o po_n branch_a itself_o into_o two_o part_n with_o one_o of_o its_o arm_n it_o come_v close_o to_o ferara_n retain_v the_o name_n of_o the_o po_n of_o ferara_n and_o here_o again_o it_o divide_v itself_o into_o two_o other_o branch_n and_o that_o which_o continue_v on_o the_o right_a hand_n be_v call_v the_o po_n of_o argenta_n and_o of_o primaro_n and_o that_o on_o the_o leave_v the_o po_n of_o volana_n but_o for_o that_o the_o bed_n of_o the_o po_n of_o ferara_n be_v heretofore_o augment_v and_o raise_v it_o follow_v that_o it_o rest_v whole_o deprive_v of_o the_o water_n of_o the_o great_a po_n except_o in_o the_o time_n of_o 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many_o examine_v the_o matter_n narrow_o measure_v that_o body_n of_o water_n which_o run_v by_o the_o channel_n or_o bed_n of_o the_o po_n of_o ferara_n and_o make_v account_n that_o the_o body_n of_o the_o water_n of_o the_o great_a po_n be_v diminish_v the_o quantity_n of_o the_o body_n of_o the_o water_n which_o run_v by_o the_o po_n of_o ferara_n but_o if_o we_o well_o remember_v what_o have_v be_v say_v in_o the_o begin_n of_o the_o treatise_n and_o how_o much_o the_o variety_n of_o the_o velocity_n of_o the_o say_a water_n import_v and_o the_o knowledge_n of_o they_o be_v necessary_a to_o conclude_v the_o true_a quantity_n of_o the_o run_a water_n we_o shall_v find_v it_o manifest_v that_o the_o benefit_n of_o this_o vent_n be_v far_o less_o than_o it_o be_v general_o think_v and_o mereover_o we_o shall_v find_v if_o i_o deceive_v not_o myself_o that_o there_o follow_v from_o thence_o so_o many_o mischief_n that_o i_o can_v great_o incline_v to_o believe_v that_o it_o be_v more_o to_o the_o purpose_n whole_o to_o stop_v it_o up_o than_o to_o maintain_v it_o open_a yet_o i_o be_o not_o so_o wed_v to_o my_o opinion_n but_o that_o i_o be_o ready_a to_o change_v my_o judgement_n upon_o strength_n of_o better_a reason_n especial_o of_o one_o that_o shall_v have_v first_o well_o understand_v the_o beginning_n of_o this_o my_o discourse_n which_o i_o frequent_o inculcate_v because_o it_o be_v absolute_o impossible_a without_o this_o advertisement_n to_o treat_v of_o these_o matter_n and_o not_o commit_v very_o great_a error_n i_o propose_v therefore_o to_o consideration_n that_o although_o it_o be_v true_a that_o whilst_o the_o water_n of_o the_o main_a po_n be_v at_o its_o great_a height_n the_o bank_n and_o dam_n then_o cut_v of_o the_o po_n of_o ferara_n and_o the_o superior_a water_n have_v a_o very_a great_a fall_n into_o the_o channel_n of_o ferara_n they_o precipitate_v into_o the_o same_o with_o great_a violence_n and_o velocity_n and_o with_o the_o same_o in_o the_o beginning_n or_o little_o less_o they_o run_v towards_o the_o po_n of_o volana_n and_o of_o argenta_n on_o the_o sea_n coast_n yet_o after_o the_o space_n of_o some_o few_o hour_n the_o po_n of_o ferara_n be_v full_a and_o the_o superior_a water_n not_o find_v so_o great_a a_o diclivity_n there_o as_o they_o have_v at_o the_o begin_n of_o the_o cut_n they_o fall_v not_o into_o the_o same_o with_o the_o former_a velocity_n but_o with_o far_o less_o and_o thereby_o a_o great_a deal_n less_o water_n begin_v to_o issue_v from_o the_o great_a po_n and_o if_o we_o diligent_o compare_v the_o velocity_n at_o the_o first_o cut_v with_o the_o velocity_n of_o the_o water_n after_o the_o cut_v make_v and_o when_o the_o po_n of_o ferara_n shall_v be_v full_a of_o water_n we_o shall_v find_v perhaps_o that_o to_o be_v fifteen_o or_o twenty_o time_n great_a than_o this_o and_o consequent_o the_o water_n which_o issue_v from_o the_o great_a po_n that_o first_o impetuosity_n be_v past_a shall_v be_v only_o the_o fifteen_o or_o twenty_o part_n of_o that_o which_o issue_v at_o the_o beginning_n and_o therefore_o the_o water_n of_o the_o main_a po_n will_v return_v in_o a_o small_a time_n almost_o to_o the_o first_o height_n and_o here_o i_o will_v pray_v those_o who_o rest_v not_o whole_o satisfy_v with_o what_o have_v be_v say_v that_o for_o the_o love_n of_o truth_n and_o the_o common_a good_a they_o will_v please_v to_o make_v diligent_a observation_n whether_o in_o the_o time_n of_o great_a flood_n the_o say_a bank_n or_o dam_n at_o bondeno_n be_v cut_v and_o that_o in_o few_o hour_n the_o main_a po_n diminish_v as_o have_v be_v say_v about_o a_o foot_n in_o its_o height_n that_o they_o will_v observe_v i_o say_v whether_o a_o day_n or_o two_o be_v past_a the_o water_n of_o the_o main_a po_n return_v almost_o to_o their_o first_o height_n for_o if_o this_o shall_v follow_v it_o will_v be_v very_o clear_a that_o the_o benefit_n which_o result_v from_o this_o diversion_n or_o vent_n be_v not_o so_o great_a as_o be_v universal_o presume_v i_o say_v it_o be_v not_o so_o great_a as_o be_v presume_v because_o though_o it_o be_v grant_v for_o true_a that_o the_o water_n of_o the_o main_a po_n abate_v at_o the_o begin_n of_o the_o vent_n yet_o this_o benefit_n happen_v to_o be_v but_o temporary_a and_o for_o a_o few_o hour_n if_o the_o rise_n of_o po_n and_o the_o danger_n of_o break_v forth_o be_v of_o short_a duration_n as_o it_o ordinary_o befall_v in_o the_o overflowing_n of_o torrent_n in_o such_o a_o case_n the_o profit_n of_o the_o vent_n will_v be_v of_o some_o esteem_n but_o because_o the_o swell_n of_o po_n continue_v for_o thirty_o or_o sometime_o for_o forty_o day_n therefore_o the_o gain_n which_o result_v from_o the_o vent_n prove_v to_o be_v inconsiderable_a it_o remain_v now_o to_o consider_v the_o notable_a harm_n which_o follow_v the_o say_a sluice_n or_o vent_n that_o so_o reflection_n be_v make_v and_o the_o profit_n and_o the_o detriment_n compare_v one_o may_v right_o judge_v and_o choose_v that_o which_o shall_v be_v most_o convenient_a the_o first_o prejudice_n therefore_o which_o arise_v from_o this_o vent_n or_o sluice_n be_v that_o the_o channel_n of_o ferara_n primaro_n and_o volana_n fill_v with_o water_n all_o those_o part_n from_o bondeno_n to_o the_o sea_n side_n be_v alarm_v and_o endanger_v thereby_o second_o the_o water_n of_o the_o po_n of_o primaro_n have_v free_a ingress_n into_o the_o upper_a valley_n they_o fill_v they_o to_o the_o great_a damage_n of_o the_o field_n adjacent_a and_o obstruct_v the_o course_n of_o the_o ordinary_a trench_n in_o the_o same_o valley_n insomuch_o that_o all_o the_o care_n cost_n and_o labour_n about_o the_o drain_n and_o free_v the_o upper_a valley_n from_o water_n will_v also_o become_v vain_a and_o ineffectual_a three_o i_o consider_v that_o these_o water_n of_o the_o po_n of_o ferara_n be_v pass_v downward_o towards_o the_o sea_n at_o the_o time_n that_o the_o main_a po_n be_v in_o its_o great_a excrescence_n and_o height_n it_o be_v manifest_a by_o experience_n that_o when_o the_o great_a po_n diminish_v than_o these_o water_n pass_v by_o the_o po_n of_o ferara_n begin_v to_o retard_v in_o their_o course_n and_o final_o come_v to_o turn_v the_o current_n upward_o towards_o stellata_fw-la rest_v first_o in_o the_o intermediate_v time_n almost_o fix_v and_o stand_v and_o therefore_o depose_v the_o muddinesse_n they_o fill_v up_o the_o channel_n of_o the_o river_n or_o current_n of_o ferara_n four_o and_o last_o there_o follow_v from_o this_o same_o diversion_n another_o notable_a damage_n and_o it_o be_v like_a to_o that_o which_o follow_v the_o breach_n make_v by_o river_n near_o to_o which_o breach_n
no_o rise_n at_o all_o in_o the_o water_n of_o po_n for_o the_o truth_n be_v that_o let_v reno_n into_o po_n there_o will_v always_o be_v a_o rise_n but_o sometime_o great_a sometime_o less_o as_o the_o po_n shall_v have_v a_o swift_a or_o slow_a current_n so_o that_o if_o the_o po_n shall_v be_v constitute_v in_o a_o great_a velocity_n the_o rise_n will_v be_v very_o small_a and_o if_o the_o say_v po_n shall_v be_v slow_a in_o its_o course_n than_o the_o rise_n will_v be_v notable_a appendix_n v._n and_o here_o it_o will_v not_o be_v beside_o the_o purpose_n to_o advertise_v that_o the_o measure_n partment_n and_o distribution_n of_o the_o water_n of_o fountain_n can_v be_v make_v exact_o unless_o there_o be_v consider_v beside_o the_o measure_n the_o velocity_n also_o of_o the_o water_n which_o particular_a not_o be_v thorough_o observe_v be_v the_o cause_n of_o continual_a miscarriage_n in_o such_o like_a affair_n appendix_n vi._n like_a consideration_n ought_v to_o be_v have_v with_o the_o great_a diligence_n for_o that_o a_o error_n therein_o be_v more_o prejudicial_a i_o say_v aught_o to_o be_v have_v by_o those_o which_o part_n and_o divide_v water_n for_o the_o water_v of_o field_n as_o be_v do_v in_o the_o territory_n of_o brescia_n bergama_n crema_fw-la pavia_n lodigiano_n cremona_n and_o other_o place_n for_o if_o they_o have_v not_o regard_v to_o the_o most_o important_a point_n of_o the_o variation_n of_o the_o velocity_n of_o the_o water_n but_o only_o to_o the_o bare_a vulgar_a measure_n there_o will_v always_o very_o great_a disorder_n and_o prejudices_fw-la ensue_v to_o the_o person_n concern_v appendix_n vii_o it_o seem_v that_o one_o may_v observe_v that_o whilst_o the_o water_n run_v along_o a_o channel_n current_n or_o conduit_n its_o velocity_n be_v retard_v withhold_v and_o impede_v by_o its_o touch_v the_o bank_n or_o side_n of_o the_o say_a channel_n or_o current_n which_o as_o immovable_a not_o follow_v the_o motion_n of_o the_o water_n interrupt_v its_o velocity_n from_o which_o particular_a be_v true_a as_o i_o believe_v it_o to_o be_v most_o true_a and_o from_o our_o consideration_n we_o have_v a_o occasion_n of_o discover_v a_o very_a nice_a mistake_n into_o which_o those_o common_o fall_v who_o divide_v the_o water_n of_o fountain_n which_o division_n be_v wont_a to_o be_v by_o what_o i_o have_v see_v here_o in_o rome_n perform_v two_o way_n the_o first_o of_o which_o be_v with_o the_o measure_n of_o like_a figure_n as_o circle_n or_o square_n have_v cut_v through_o a_o plate_n of_o metal_n several_a circle_n or_o square_n one_o of_o half_a a_o inch_n another_o of_o one_o inch_n another_o of_o two_o of_o three_o of_o four_o etc._n etc._n with_o which_o they_o afterward_o adjust_a the_o cock_n to_o dispense_v the_o water_n the_o other_o manner_n of_o divide_v the_o water_n of_o fountain_n be_v with_o rectangle_n paralellogram_n of_o the_o same_o height_n but_o of_o different_a base_n in_o such_o sort_n likewise_o that_o one_o paralellogram_n be_v of_o half_a a_o inch_n another_o of_o one_o two_o three_o etc._n etc._n in_o which_o manner_n of_o measure_v and_o divide_v the_o water_n it_o shall_v seem_v that_o the_o cock_n be_v place_v in_o one_o and_o the_o same_o plain_a equidistant_a from_o the_o level_n or_o superior_a superficies_n of_o the_o water_n of_o the_o well_o and_o the_o say_a measure_n be_v most_o exact_o make_v the_o water_n ought_v consequent_o also_o to_o be_v equal_o divide_v and_o part_v according_a to_o the_o proportion_n of_o the_o measure_n but_o if_o we_o well_o consider_v every_o particular_a we_o shall_v find_v that_o the_o cock_n as_o they_o successive_o be_v great_a discharge_v always_o more_o water_n than_o the_o just_a quantity_n in_o comparison_n of_o the_o lesser_a that_o be_v to_o speak_v more_o proper_o the_o water_n which_o pass_v through_o the_o great_a cock_n have_v always_o a_o great_a proportion_n to_o that_o which_o pass_v through_o the_o lesser_a than_o the_o great_a cock_n have_v to_o the_o lesser_a all_o which_o i_o will_v declare_v by_o a_o example_n the_o like_a error_n occur_v also_o in_o the_o other_o manner_n of_o measure_v the_o water_n of_o a_o fountain_n as_o may_v easy_o be_v collect_v from_o what_o have_v be_v say_v and_o observe_v above_o appendix_n viii_o the_o same_o contemplation_n discover_v the_o error_n of_o those_o architect_n who_o be_v to_o erect_v a_o bridge_n of_o sundry_a arch_n over_o a_o river_n consider_v the_o ordinary_a breadth_n of_o the_o river_n which_o be_v v_o g._n forty_o fathom_n and_o the_o bridge_n be_v to_o consist_v of_o four_o arch_n it_o suffice_v they_o that_o the_o breadth_n of_o all_o the_o four_o arch_n take_v together_o be_v forty_o fathom_n not_o consider_v that_o in_o the_o ordinary_a channel_n of_o the_o river_n the_o water_n have_v only_o two_o impediment_n which_o retard_v its_o velocity_n namely_o the_o touch_v and_o glide_v along_o the_o two_o side_n or_o shore_n of_o the_o river_n but_o the_o same_o water_n in_o pass_v under_o the_o bridge_n in_o our_o case_n meet_v with_o eight_o of_o the_o same_o impediment_n bear_v and_o thrust_v upon_o two_o side_n of_o each_o arch_n to_o omit_v the_o impediment_n of_o the_o bottom_n for_o that_o it_o be_v the_o same_o in_o the_o river_n and_o under_o the_o bridge_n from_o which_o inadvertency_n sometime_o follow_v very_o great_a disorder_n as_o quotidian_a practice_n show_v we_o appendix_n ix_o it_o be_v also_o worthy_a to_o consider_v the_o great_a and_o admirable_a benefit_n that_o those_o field_n receive_v which_o be_v wont_a to_o drink_v up_o the_o rain-water_n with_o difficulty_n through_o the_o height_n of_o the_o water_n in_o the_o principal_a ditch_n in_o which_o case_n the_o careful_a husbandman_n cut_v away_o the_o reed_n and_o rush_n in_o the_o ditch_n through_o which_o the_o water_n pass_v whereupon_o may_v be_v present_o see_v so_o soon_o as_o the_o reed_n and_o rush_n be_v cut_v a_o notable_a ebb_n in_o the_o level_n of_o the_o water_n in_o the_o ditch_n insomuch_o that_o sometime_o it_o be_v observe_v that_o the_o water_n be_v abate_v after_o the_o say_v cut_v a_o three_o and_o more_o of_o what_o it_o be_v before_o the_o cut_n the_o which_o effect_v seem_o might_n depend_v on_o this_o that_o before_o those_o weed_n take_v up_o room_n in_o the_o ditch_n and_o for_o that_o cause_n the_o water_n keep_v a_o high_a level_n and_o the_o say_a plant_n be_v afterward_o cut_v and_o remove_v the_o water_n come_v to_o abate_v possess_v the_o place_n that_o before_o be_v occupy_v by_o the_o weed_n which_o opinion_n though_o probable_a and_o at_o first_o sight_n satisfactory_a be_v nevertheless_o insufficient_a to_o give_v the_o total_a reason_n of_o that_o notable_a abatement_n which_o have_v be_v speak_v of_o but_o it_o be_v necessary_a to_o have_v recourse_n to_o our_o consideration_n of_o the_o velocity_n in_o the_o course_n of_o the_o water_n the_o chief_a and_o true_a cause_n of_o the_o variation_n of_o the_o measure_n of_o the_o same_o running-waterâ—_a for_o that_o multitude_n of_o reed_n weed_n and_o plant_v disperse_v through_o the_o current_n of_o the_o ditch_n do_v chance_n notable_o to_o retard_v the_o course_n of_o the_o water_n and_o therefore_o the_o measure_n of_o the_o water_n increase_v and_o those_o impediment_n remove_v the_o same_o water_n gain_v velocity_n and_o therefore_o decrease_v in_o measure_n and_o consequent_o in_o height_n and_o perhaps_o this_o point_n well_o understand_v may_v be_v of_o great_a profit_n to_o the_o field_n adjacent_a to_o the_o pontine_n fen_n and_o i_o doubt_v not_o but_o if_o the_o river_n ninfa_n and_o the_o other_o principal_a brook_n of_o those_o territory_n be_v keep_v well_o cleanse_v from_o weed_n their_o water_n will_v be_v at_o a_o low_a level_n and_o consequent_o the_o drain_v of_o the_o field_n will_v run_v into_o they_o more_o ready_o it_o be_v always_o to_o be_v hold_v for_o undoubted_a that_o the_o measure_n of_o the_o water_n before_o the_o cleanse_n have_v the_o same_o proportion_n to_o the_o measure_n after_o cleanse_v that_o the_o velocity_n after_o the_o cleanse_n have_v to_o the_o velocity_n before_o the_o cleanse_n and_o be_v cause_v those_o weed_n be_v cleanse_v away_o the_o course_n of_o the_o water_n notable_o increase_v it_o be_v therefore_o necessary_a that_o the_o say_a water_n abate_v in_o measure_n and_o become_v low_o appendix_n x._o we_o have_v above_o observe_v some_o error_n that_o be_v commit_v in_o distribute_v the_o water_n of_o fountain_n and_o those_o that_o serve_v to_o water_n field_n it_o seem_v now_o fit_a by_o way_n of_o a_o close_a to_o this_o discourse_n to_o advertise_v by_o what_o mean_v these_o division_n may_v be_v make_v just_o and_o without_o error_n i_o therefore_o think_v that_o one_o might_n two_o several_a way_n exquisite_o divide_v
thing_n be_v pre-supposed_n we_o will_v lay_v down_o some_o familiar_a problem_n from_o which_o we_o shall_v pass_v to_o the_o notion_n and_o question_n more_o subtle_a and_o curious_a which_o will_v also_o prove_v profitable_a and_o not_o to_o be_v slight_v in_o this_o business_n of_o water_n proposition_n i._o problem_n 1._o a_o channel_n of_o running-water_n be_v give_v the_o breadth_n of_o which_o pass_v through_o a_o regulator_n be_v three_o palm_n and_o the_o height_n one_o palm_n little_o more_o or_o less_o to_o measure_v what_o water_n pass_v through_o the_o regulator_n in_o a_o time_n give_v first_o we_o be_v to_o dam_v up_o the_o channel_n so_o that_o there_o pass_v not_o any_o water_n below_o the_o dam_n then_o we_o must_v place_v in_o the_o side_n of_o the_o channel_n in_o the_o part_n above_o the_o regulator_n three_o or_o four_o or_o five_o bent-pipe_n or_o syphon_n according_a to_o the_o quantity_n of_o the_o water_n that_o run_v along_o the_o channel_n in_o such_o sort_n as_o that_o they_o may_v drink_v up_o or_o draw_v out_o of_o the_o channel_n all_o the_o water_n that_o the_o channel_n bear_v and_o then_o shall_v we_o know_v that_o the_o syphon_n drink_v up_o all_o the_o water_n when_o we_o see_v that_o the_o water_n at_o the_o dam_n do_v neither_o rise_n high_o nor_o abate_v but_o always_o keep_v in_o the_o same_o level_n these_o thing_n be_v prepare_v take_v the_o instrument_n to_o measure_v the_o time_n we_o will_v examine_v the_o quantity_n of_o the_o water_n that_o issue_v by_o one_o of_o those_o syphon_n in_o the_o space_n of_o twenty_o vibration_n and_o the_o like_a will_v we_o do_v one_o by_o one_o with_o the_o other_o syphon_n and_o then_o collect_v the_o whole_a sum_n we_o will_v say_v that_o so_o much_o be_v the_o water_n that_o pass_v and_o run_v through_o the_o regulator_n or_o channel_n the_o dam_n be_v take_v away_o in_o the_o space_n of_o twenty_o second_o minute_n of_o a_o hour_n and_o calculate_v we_o may_v easy_o reduce_v it_o to_o hour_n day_n month_n and_o year_n and_o it_o have_v fall_v to_o my_o turn_n to_o measure_v this_o way_n the_o water_n of_o mill_n and_o fountain_n and_o i_o have_v be_v well_o assure_v of_o its_o exactness_n by_o often_o repeat_v the_o same_o work_n consideration_n and_o this_o method_n must_v be_v make_v use_n of_o in_o measure_v the_o water_n that_o we_o be_v to_o bring_v into_o conduct_n and_o carry_v into_o city_n and_o castle_n for_o fountain_n and_o that_o we_o may_v be_v able_a afterward_o to_o divide_v and_o share_v they_o to_o particular_a person_n just_o which_o will_v prevent_v infinite_a suit_n and_o controversy_n that_o every_o day_n happen_v in_o these_o matter_n proposition_n ii_o theorem_fw-la i._o if_o a_o river_n move_v with_o such_o a_o certain_a velocity_n through_o its_o regulator_n shall_v have_v a_o give_v quick_a height_n and_o afterward_o by_o new_a water_n shall_v increase_v to_o be_v double_a it_o shall_v also_o increase_v double_a in_o velocity_n let_v the_o quick_a height_n of_o a_o river_n in_o the_o regulator_n abcd_n be_v the_o perpendicular_a fb_n and_o afterward_o by_o new_a water_n that_o be_v add_v to_o the_o river_n let_v the_o water_n be_v suppose_v to_o be_v raise_v to_o g_o so_o that_o gb_n may_v be_v double_a to_o ebb_v i_o say_v that_o all_o the_o water_n gc_n shall_v be_v double_a in_o velocity_n to_o that_o of_o aec_fw-la for_o the_o water_n gf_n have_v for_o its_o bed_n the_o bottom_n of_o equal_o incline_v as_o the_o bed_n bc_n and_o its_o quick_a height_n ge_n be_v equal_a to_o the_o quick_a height_n aec_fw-la and_o have_v the_o same_o breadth_n bc_n it_o shall_v have_v of_o itself_o a_o velocity_n equal_a to_o the_o velocity_n of_o the_o first_o water_n fc_n but_o because_o beside_o its_o own_o motion_n which_o be_v impart_v to_o it_o by_o the_o motion_n of_o the_o water_n aec_fw-la it_o have_v also_o over_o and_o above_o its_o own_o motion_n the_o motion_n of_o aec_fw-la and_o because_o the_o two_o water_n gc_a and_o aec_fw-la be_v alike_o in_o velocity_n by_o the_o three_o supposition_n therefore_o the_o whole_a water_n gc_n shall_v be_v double_a in_o velocity_n to_o the_o water_n aec_fw-la which_o be_v that_o which_o we_o be_v to_o demonstrate_v this_o demonstration_n be_v not_o here_o insert_v as_o perfect_a the_o author_n have_v by_o several_a letter_n to_o his_o friend_n confess_v himself_o unsatisfied_a therewith_o and_o that_o he_o intend_v not_o to_o publish_v the_o theorem_fw-la without_o a_o more_o solid_a demonstration_n which_o he_o be_v in_o hope_n to_o light_v upon_o but_o be_v overtake_v by_o death_n he_o can_v not_o give_v the_o finish_v touch_n either_o to_o this_o or_o to_o the_o rest_n of_o the_o second_o book_n in_o consideration_n of_o which_o it_o seem_v good_a to_o the_o publisher_n of_o the_o same_o rather_o to_o omit_v it_o than_o to_o do_v any_o thing_n contrary_a to_o the_o mind_n of_o the_o author_n and_o this_o he_o hint_n by_o way_n of_o advertisement_n to_o those_o that_o have_v manuscript_n copy_n of_o this_o book_n with_o the_o say_a demonstration_n for_o this_o time_n let_v the_o reader_n content_v himself_o with_o the_o knowledge_n of_o so_o ingenious_a and_o profitable_a a_o conclusion_n of_o the_o truth_n of_o which_o he_o may_v with_o small_a expense_n and_o much_o pleasure_n be_v assure_v by_o mean_n of_o the_o experiment_n to_o be_v make_v in_o the_o same_o manner_n with_o that_o which_o be_v lay_v down_o in_o the_o second_o corollary_n of_o the_o four_o theorem_fw-la of_o this_o with_o its_o table_n and_o the_o use_n thereof_o annex_v corollary_n hence_o it_o follow_v that_o when_o a_o river_n increase_v in_o quick_a height_n by_o the_o addition_n of_o new_a water_n it_o also_o increase_v in_o velocity_n so_o that_o the_o velocity_n have_v the_o same_o proportion_n to_o the_o velocity_n that_o the_o quick_a height_n have_v to_o the_o quick_a height_n as_o may_v be_v demonstrate_v in_o the_o same_o manner_n propos_fw-fr iii_o problem_n ii_o a_o channel_n of_o water_n be_v give_v who_o breadth_n exceed_v not_o twenty_o palm_n or_o thereabouts_o and_o who_o quick_a height_n be_v less_o than_o five_o palm_n to_o measure_v the_o quantity_n of_o the_o water_n that_o run_v through_o the_o channel_n in_o a_o time_n give_v place_v in_o the_o channel_n a_o regulator_n and_o observe_v the_o quick_a height_n in_o the_o say_a regulator_n then_o let_v the_o water_n be_v turn_v away_o from_o the_o channel_n by_o a_o chanellet_n of_o three_o or_o four_o palm_n in_o breadth_n or_o thereabouts_o and_o that_o be_v do_v measure_v the_o quantity_n of_o the_o water_n which_o pass_v through_o the_o say_a chanellet_n as_o have_v be_v teach_v in_o the_o second_o proposition_n and_o at_o the_o same_o time_n observe_v exact_o how_o much_o the_o quick_a height_n shall_v be_v abate_v in_o the_o great_a channel_n by_o mean_n of_o the_o diversion_n of_o the_o chanellet_n and_o all_o these_o particular_n be_v perform_v multiply_v the_o quick_a height_n of_o the_o great_a channel_n into_o itself_o and_o likewise_o multiply_v into_o itself_o the_o lesser_a height_n of_o the_o say_v big_a channel_n and_o the_o lesser_a square_a be_v take_v from_o the_o great_a the_o remainder_n shall_v have_v the_o same_o proportion_n to_o the_o whole_a great_a square_n as_o the_o water_n of_o the_o chanellet_n divert_v have_v to_o the_o water_n of_o the_o big_a channel_n and_o because_o the_o water_n of_o the_o chanellet_n be_v know_v by_o the_o method_n say_v down_o in_o the_o first_o theorem_n and_o the_o term_n of_o the_o theorem_fw-la be_v also_o know_v the_o quantity_n of_o the_o water_n which_o run_v through_o the_o big_a channel_n shall_v be_v also_o know_v by_o the_o golden_a rule_n which_o be_v that_o that_o be_v desire_v to_o be_v know_v we_o will_v explain_v the_o whole_a business_n by_o a_o example_n let_v a_o channel_n be_v for_o example_n 15_o palm_n broad_a its_o quick_a height_n before_o its_o diversion_n by_o the_o chanellet_n shall_v be_v suppose_v to_o be_v 24_o inch_n but_o after_o the_o diversion_n let_v the_o quick_a height_n of_o the_o channel_n be_v only_o 22_o inch_n therefore_o the_o great_a height_n to_o the_o lesser_a be_v as_o the_o number_n 11._o to_o 12._o but_o the_o square_n of_o 11._o be_v 121_o and_o the_o square_a of_o 12._o be_v 144_o the_o difference_n between_o the_o say_v lesser_a square_a and_o the_o great_a be_v 23._o therefore_o the_o divert_a water_n be_v to_o the_o whole_a water_n as_o 23._o to_o 144_o which_o be_v well_o near_o as_o 1_o to_o 6â—_n and_o that_o be_v the_o proportion_n that_o the_o quantity_n of_o the_o water_n which_o run_v through_o the_o chanellet_n shall_v have_v to_o all_o the_o water_n that_o run_v through_o the_o great_a channel_n now_o if_o we_o shall_v find_v by_o
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 run_v more_o than_o one_o brace_n it_o will_v be_v necessary_a that_o that_o same_o river_n shall_v become_v 100_o time_n big_a in_o that_o place_n where_o it_o be_v retard_v i_o mean_v 100_o time_n big_a than_o it_o be_v in_o the_o place_n where_o it_o be_v swift_a and_o let_v it_o be_v keep_v well_o in_o mind_n that_o this_o point_n right_o understand_v will_v clear_v the_o understanding_n to_o discover_v very_o many_o accident_n worthy_a to_o be_v know_v but_o for_o this_o time_n let_v it_o suffice_v that_o we_o have_v only_o declare_v that_o which_o make_v for_o our_o purpose_n refer_v apprehensive_a and_o studious_a wit_n to_o the_o perusal_n of_o my_o aforenamed_a treatise_n for_o therein_o he_o shall_v find_v profit_n and_o delight_n both_o together_o now_o apply_v all_o to_o our_o principal_a intent_n i_o say_v that_o by_o what_o have_v be_v declare_v it_o be_v manifest_a that_o if_o the_o brent_n be_v 40._o brace_n broad_a and_o 2_o 1_o 2_o high_a in_o some_o one_o part_n of_o its_o channel_n that_o afterward_o the_o same_o water_n of_o the_o brent_n fall_v into_o the_o lake_n and_o pass_v through_o the_o same_o to_o the_o sea_n it_o shall_v lose_v so_o much_o of_o its_o velocity_n that_o it_o shall_v run_v but_o one_o brace_n in_o the_o time_n wherein_o whilst_o it_o be_v in_o its_o channel_n at_o the_o place_n aforesaid_a it_o run_v 100_o brace_n it_o will_v be_v absolute_o necessary_a that_o increase_v in_o measure_n it_o shall_v become_v a_o hundred_o time_n deep_o thick_a and_o therefore_o if_o we_o shall_v suppose_v that_o the_o lake_n be_v 20000._o brace_n the_o brent_n that_o already_o have_v be_v suppose_v in_o its_o channel_n 100_o brace_n be_v bring_v into_o the_o lake_n shall_v be_v 100_o time_n 100_o brate_v that_o be_v shall_v be_v 10000_o brace_n in_o thickness_n and_o consequent_o shall_v be_v in_o height_n half_a a_o brace_n that_o be_v 100_o 200_o of_o a_o brace_n and_o not_o 1st_a 200_o of_o a_o brace_n as_o be_v conclude_v in_o the_o argument_n now_o one_o may_v see_v into_o what_o a_o gross_a error_n of_o 99_o in_o 100_o one_o may_v fall_v through_o the_o not_o well_o understand_v the_o true_a quantity_n of_o run_v water_n which_o be_v well_o understand_v do_v open_v a_o direct_a way_n to_o our_o judge_v aright_o in_o this_o most_o considerable_a affair_n and_o therefore_o admit_v that_o which_o have_v be_v demonstrate_v i_o say_v that_o i_o will_v if_o it_o do_v concern_v i_o great_o incline_v to_o consult_v upon_o the_o return_v of_o the_o brent_n again_o into_o the_o lake_n for_o it_o be_v most_o evident_a that_o the_o brent_n in_o the_o channel_n of_o its_o mouth_n be_v much_o swift_a than_o the_o brent_n be_v bring_v into_o the_o lake_n it_o will_v certain_o follow_v thereupon_o that_o the_o thickness_n of_o the_o water_n of_o brent_n in_o the_o lake_n shall_v be_v so_o much_o great_a than_o that_o of_o brent_n in_o brent_n by_o how_o much_o the_o bront_n in_o brent_n be_v swift_a than_o thh_n brent_n in_o the_o lake_n 1._o from_o which_o operation_n do_v follow_v in_o the_o first_o place_n that_o the_o lake_n be_v fill_v and_o increase_v by_o these_o water_n shall_v be_v more_o navigable_a and_o passable_a than_o at_o present_a we_o see_v it_o to_o be_v 2._o by_o the_o current_n of_o these_o water_n the_o channel_n will_v be_v scour_v and_o will_v be_v keep_v clean_o from_o time_n to_o time_n 3._o there_o will_v not_o appear_v at_o the_o time_n of_o low-water_n so_o many_o shelf_n and_o such_o heap_n of_o mud_n as_o do_v now_o appear_v 4._o the_o air_n will_v become_v more_o wholesome_a for_o that_o it_o shall_v not_o be_v so_o infect_v by_o putrid_a vapour_n exhale_v by_o the_o sun_n so_o long_o as_o the_o miry_a ouze_n shall_v be_v cover_v by_o the_o water_n 5._o last_o in_o the_o current_n of_o these_o advantageous_a water_n which_o must_v issue_v out_o of_o the_o lake_n into_o the_o sea_n beside_o those_o of_o the_o tide_n the_o port_n will_v be_v keep_v scour_v and_o clear_a and_o 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
by_o the_o addition_n of_o new_a water_n to_o that_o which_o it_o discharge_v after_o the_o increase_n be_v make_v proposition_n iu._n theor._n ii_o 54_o proportion_n of_o a_o river_n when_o highâ—â—_n to_o itself_o when_o low_o coral_n i._o 55_o q_o quantity_n of_o run_v water_n be_v never_o certain_a if_o with_o the_o vulgar_a way_n of_o measure_v they_o their_o velocity_n be_v not_o consider_v 32_o quantity_n of_o water_n which_o be_v discharge_v by_o a_o river_n answer_v in_o equality_n to_o the_o velocity_n and_o time_n in_o which_o they_o be_v discharge_v axiom_n i_o two_o iii_o 38_o quick-height_n of_o a_o river_n what_o it_o be_v definition_n v._n 48_o r_o reason_n of_o the_o proverb_n take_v heed_n of_o the_o still_a water_n coral_n vi_o 7_o reason_n of_o monsignore_n corsini_n against_o the_o diversion_n of_o reno_n into_o the_o po_n of_o volano_n 105_o reason_n of_o cardinal_n capponi_n and_o monsig_n corsini_n for_o the_o turn_n of_o reno_n into_o main_n po._n 106_o two_o objection_n on_o the_o contrary_a and_o answer_n to_o they_o 104_o &_o 105_o what_o ought_v to_o be_v the_o proportion_n of_o the_o height_n of_o reno_n in_o reno_n and_o of_o reno_n in_o po._n 110_o regulator_n what_o it_o be_v definition_n iu_o 48_o relation_n of_o the_o water_n of_o bologna_n and_o ferrara_n by_o monsignore_n corsini_n 100_o reno_n in_o the_o valley_n and_o its_o bad_a effect_n 100_o 101_o two_o way_n to_o divert_v it_o 103_o the_o facility_n and_o utility_n of_o those_o way_n ibid._n the_o difficulty_n object_v 104_o reply_n to_o bartolotti_n touch_v the_o danger_n of_o turn_a eiume_n morto_n into_o serchio_n 83_o retardment_n of_o the_o course_n of_o a_o river_n cause_v by_o its_o bank_n appendix_n vii_o 19_o rise_n make_v by_o floodgate_n but_o small_a appendix_n xiii_o 26_o river_n that_o be_v shallow_a swell_v much_o upon_o small_a shower_n such_o as_o be_v deep_o rise_v but_o little_a upon_o great_a flood_n corollary_n iii_o 6_o river_n the_o high_o they_o be_v the_o swift_a ibid._n rivers_z the_o high_o they_o be_v the_o less_o they_o increase_v upon_o flood_n 49_o river_n when_o they_o be_v to_o have_v equal_a and_o when_o like_a velocity_n ibid._n river_n in_o fall_v into_o the_o sea_n form_n a_o shelf_n of_o sand_n call_v cavallo_n 65_o five_o river_n to_o be_v divert_v from_o the_o lake_n of_o venice_n and_o the_o inconvenience_n that_o will_v ensue_v thereupon_o 74_o 75_o a_o river_n of_o quick-height_n and_o velocity_n in_o its_o regulator_n be_v give_v if_o the_o height_n be_v redouble_v by_o new_a water_n it_o redouble_v also_o in_o velocity_n proposition_n ii_o theorem_fw-la i_o 51_o keep_v the_o proportion_n of_o the_o height_n to_o the_o velocity_n corollary_n 52_o saint_n sand_n and_o mud_n that_o enter_v into_o the_o lake_n of_o venice_n and_o the_o way_n to_o examine_v it_o 76_o sea_n agitate_a and_o drive_v by_o the_o wind_n stop_v up_o the_o port_n 64_o 65_o section_n of_o a_o river_n what_o they_o be_v definition_n i._n 37_o section_n equal_o swift_a what_o they_o be_v definition_n ii_o ibid._n section_n of_o a_o river_n be_v give_v to_o conceive_v other_o equal_v to_o they_o of_o different_a breadth_n height_n and_o velocity_n petition_n 38_o section_n of_o the_o same_o river_n and_o their_o proportion_n to_o their_o velocity_n coral_n i._o 42_o section_n of_o a_o river_n discharge_v in_o any_o whatsoever_o place_n of_o the_o say_a river_n equal_a quantity_n of_o water_n in_o equal_a time_n proposition_n i._n 39_o sile_z river_n what_o mischief_n it_o threaten_v divert_v from_o the_o lake_n 74_o spirting_n of_o water_n grow_v big_a the_o high_o they_o go_v coral_n xvi_o 16_o stream_n of_o river_n how_o they_o increase_v and_o vary_v coral_n i._o 6_o stream_n retard_v and_o the_o effect_n thereof_o coral_n ix_o 8_o t_o table_n of_o the_o height_n addition_n and_o quantity_n of_o water_n and_o its_o use_n 56_o thrasimenus_n vide_fw-la lake_n time_n how_o it_o be_v measure_v in_o these_o operation_n of_o the_o water_n 49_o torrent_n increase_v at_o the_o increase_n of_o a_o river_n though_o they_o carry_v no_o more_o water_n than_o before_o coral_n iv._o 6_o torrent_n when_o they_o depose_v and_o carry_v away_o the_o sand._n coral_n v._o 7_o torrent_n and_o their_o effect_n in_o a_o river_n 6_o 7_o torrent_n that_o fall_v into_o the_o valley_n or_o into_o po_n of_o valano_n and_o their_o mischief_n prevent_v by_o the_o divert_v of_o reno_n into_o main_n po._n 100_o tiber_n and_o the_o cause_n of_o its_o inundation_n coral_n viii_o 8_o five_o valley_n of_o bologna_n and_o ferrara_n their_o inundation_n and_o disorder_n whence_o they_o proceed_v 97_o velocity_n of_o the_o water_n show_v by_o several_a example_n 3_o its_o proportion_n to_o the_o measure_n 5_o velocity_n equal_a what_o they_o be_v 47_o velocity_n like_a what_o they_o be_v 47_o 48_o velocity_n of_o water_n know_v how_o they_o help_v we_o in_o find_v the_o length_n 113_o a_o fable_n to_o explain_v the_o truth_n thereof_o ibid._n venice_n vide_fw-la lake_n use_v of_o the_o regulator_n in_o measure_v great_a river_n consideration_n i._n 60_o w_n water_n fall_v why_o they_o disgross_v coral_n xvi_o 16_o water_n how_o the_o length_n of_o they_o be_v measure_v 70_o water_n that_o be_v employ_v to_o flow_v ground_n how_o they_o be_v to_o be_v distribute_v 19_o 53_o 54_o water_n to_o be_v carry_v in_o pipe_n to_o serve_v aquaduct_n and_o conduit_n how_o they_o be_v to_o be_v measure_v 15_o 116_o way_n to_o know_v the_o rise_n of_o lake_n by_o raines_n 28_o way_n of_o the_o vulgar_a to_o measure_v the_o water_n of_o rivers_n 68_o wind_n gun_n and_o portable_a fountain_n of_o vincenzo_n vincenti_fw-la of_o urbino_n 11_o wind_n contrary_a retard_v and_o make_v river_n increase_v coral_n vii_o 8_o the_o end_n of_o the_o table_n of_o the_o second_o part_n of_o the_o first_o tome_n copernicus_n repute_v the_o earth_n a_o globe_n like_a to_o a_o planet_n celestial_a substance_n that_o be_v in_o alterable_a and_o elementary_a that_o be_v alterable_a be_v necessary_a in_o the_o opinion_n of_o aristotle_n aristotle_n make_v the_o world_n perfect_a because_o it_o have_v the_o threefold_a dimension_n aristotle_n demonstration_n to_o prove_v the_o dimension_n to_o be_v three_o and_o no_o more_o the_o number_n three_o celebrate_v among_o the_o pythagorian_n omne_fw-la totum_fw-la &_o perfectum_fw-la or_o solid_a plato_n hold_v that_o humane_a understanding_n partake_v of_o divinity_n because_o it_o understand_v number_n the_o mystery_n of_o pythagorick_a number_n fabulous_a de_fw-fr papyrio_fw-la pâ—aetextato_fw-la gellius_n 1._o 2._o 3._o a_o geometrical_a demonstration_n of_o the_o triple_a dimension_n in_o physical_a proof_n geometrical_a exactness_n be_v not_o necessary_a part_n of_o the_o world_n be_v two_o according_a to_o aristotle_n celestial_a and_o elementary_a contrary_n to_o one_o another_o local_a motion_n of_o three_o kind_n right_a circular_a &_o mix_v circular_a and_o straight_a motion_n be_v simple_a as_o proceed_v by_o simple_a line_n ad_fw-la medium_n à _fw-fr 〈◊〉_d &_o circa_fw-la medium_n the_o definition_n of_o nature_n either_o imperfect_a or_o unseasonable_a produce_v by_o aristotle_n the_o helix_fw-la about_o the_o cylinder_n may_v be_v say_v to_o be_v a_o simple_a line_n aristotle_n accommodate_v the_o rule_n of_o architecture_n to_o the_o frame_n of_o the_o world_n and_o not_o the_o frame_n to_o the_o rule_n right_o motion_n sometime_o simple_a and_o sometime_o mix_v according_a to_o arist._n the_o circular_a line_n perfect_a according_a to_o aristotle_n and_o but_o the_o right_n imperfect_a and_o why_o the_o world_n be_v suppose_v by_o the_o author_n to_o be_v perfect_o ordinate_a straight_o motion_n impossible_a in_o the_o world_n exact_o ordinate_a right_o motion_n nature_n infinite_a motion_n by_o a_o right_a line_n natural_o impossible_a nature_n attempt_v not_o thing_n impossible_a to_o be_v effect_v right_o motion_n may_v perhaps_o be_v in_o thâ—_n first_o chaos_n right_o motion_n be_v commodious_a to_o range_v in_o order_n thing_n out_o of_o order_n mundane_a body_n move_v in_o the_o begin_n in_o a_o right_a line_n and_o afterward_o circular_o according_a to_o plato_n plato_n thus_o do_v he_o covert_o and_o modest_o style_v himself_o throughout_o this_o work_n a_o movable_a be_v in_o a_o state_n of_o rest_n shall_v not_o move_v unless_o it_o have_v a_o inclination_n to_o some_o particular_a place_n the_o movable_a accelerate_v its_o motion_n go_v towards_o the_o place_n whither_o it_o have_v a_o inclination_n the_o movable_a pass_v from_o rest_n go_v through_o all_o the_o degree_n of_o tardity_n rest_v the_o infinite_a degree_n of_o tardity_n the_o movable_a do_v not_o accelerate_v save_v only_o as_o it_o approach_v near_a to_o we_o term_n nature_n to_o introduce_v in_o the_o movable_a a_o certain_a degree_n of_o velocity_n make_v it_o move_v in_o a_o right_a line_n vniform_a