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yet_o have_v so_o full_o and_o plain_o handle_v the_o whole_a doctrine_n that_o i_o may_v affirm_v his_o work_n to_o be_v every_o way_n absolute_a it_o must_v be_v confess_v the_o demonstration_n of_o the_o second_o proposition_n of_o the_o second_o book_n do_v not_o well_o please_v the_o author_n and_o have_v he_o live_v he_o will_v have_v supply_v that_o defect_n but_o be_v prevent_v by_o death_n the_o reader_n must_v content_v himself_o with_o the_o mechanical_a proof_n that_o he_o give_v you_o of_o the_o truth_n of_o so_o excellent_a a_o conclusion_n §_o the_o other_o particular_a that_o i_o be_o to_o offer_v be_v that_o out_o of_o my_o desire_n to_o contribute_v what_o lie_v in_o i_o to_o the_o complete_n of_o this_o piece_n for_o english_a practice_n i_o have_v exee_v my_o promise_n not_o only_o in_o give_v you_o the_o second_o and_o follow_a book_n which_o be_v not_o extant_a at_o the_o time_n of_o tender_v my_o overture_n but_o also_o in_o that_o i_o have_v add_v â—_o map_n 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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and_o in_o sum_n this_o ample_a matter_n of_o motion_n be_v so_o extend_v and_o dilate_a that_o there_o be_v few_o thing_n which_o fall_v under_o man_n notice_n which_o be_v not_o conjoin_v with_o motion_n or_o at_o least_o depend_v thereupon_o or_o to_o the_o knowledge_n thereof_o direct_v and_o of_o almost_o every_o of_o they_o there_o have_v be_v write_v and_o compose_v by_o sublime_a wit_n learned_a treatise_n and_o instruction_n and_o because_o that_o in_o the_o year_n pass_v i_o have_v occasion_n by_o order_n of_o our_o lord_n pope_n vrban_n 8._o to_o apply_v my_o thought_n to_o the_o motion_n of_o the_o water_n of_o river_n a_o matter_n difficult_a most_o important_a and_o little_o handle_v by_o other_o have_v concern_v the_o same_o observe_v some_o particular_n not_o well_o observe_v or_o consider_v till_o now_o but_o of_o great_a moment_n both_o in_o public_a and_o private_a affair_n i_o have_v think_v good_a to_o publish_v they_o to_o the_o end_n that_o ingenious_a spirit_n 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in_o the_o low_a part_n namely_o below_o the_o breach_n there_o be_v beget_v in_o the_o channel_n of_o the_o river_n a_o certain_a ridge_n or_o shelf_n that_o be_v the_o bottom_n of_o the_o river_n be_v raise_v as_o be_v sufficient_o manifest_a by_o experience_n and_o thus_o just_a in_o the_o same_o manner_n cut_v the_o bank_n at_o bondeno_n there_o be_v at_o it_o be_v a_o breach_n make_v from_o which_o follow_v the_o rise_n in_o the_o low_a part_n of_o the_o main_a po_n be_v past_o the_o mouth_n of_o pamaro_n which_o thing_n how_o pernicious_a it_o be_v let_v any_o one_o judge_n that_o understand_v these_o matter_n and_o therefore_o both_o for_o the_o small_a benefit_n and_o so_o many_o harm_n that_o ensue_v from_o maintain_v this_o diversion_n i_o shall_v think_v it_o be_v more_o sound_a advice_n to_o keep_v that_o bank_n always_o whole_a at_o bondeno_n or_o in_o any_o other_o convenient_a place_n and_o not_o to_o permit_v that_o the_o water_n of_o the_o grand_a po_n shall_v ever_o come_v near_o to_o ferara_n corollary_n fourteen_o in_o the_o grand_a river_n which_o fall_v into_o the_o sea_n as_o here_o in_o italy_n po_n adige_n artesia_n and_o arno_n which_o be_v arm_v with_o bank_n against_o their_o excrescency_n it_o be_v observe_v that_o far_o from_o the_o sea_n they_o need_v bank_n of_o a_o notable_a height_n which_o height_n go_v afterward_o by_o degree_n diminish_v the_o more_o it_o approach_v to_o the_o seacoast_n in_o such_o sort_n that_o the_o po_n distant_a from_o the_o sea_n about_o fifty_o or_o sixty_o mile_n at_o ferara_n shall_v have_v bank_n that_o be_v above_o twenty_o foot_n high_o than_o the_o ordinary_a water-mark_n but_o ten_o or_o twelve_o mile_n from_o the_o sea_n the_o bank_n be_v not_o twelve_o foot_n high_o than_o the_o say_v ordinary_a water-mark_n though_o the_o breadth_n of_o the_o river_n be_v the_o same_o so_o that_o the_o excrescence_n of_o the_o same_o innundation_n happen_v to_o be_v far_o great_a in_o measure_n remote_a from_o the_o sea_n then_o near_o and_o yet_o it_o shall_v seem_v that_o the_o same_o quantity_n of_o water_n pass_v by_o every_o place_n the_o river_n shall_v need_v to_o have_v the_o same_o altitude_n of_o bank_n in_o all_o place_n but_o we_o by_o our_o principle_n and_o fundamental_o may_v be_v able_a to_o render_v the_o reason_n of_o that_o effect_n and_o say_v that_o that_o excess_n of_o quantity_n of_o water_n above_o the_o ordinary_a water_n go_v always_o acquire_v great_a velocity_n the_o near_a it_o approach_v the_o sea_n and_o therefore_o decrease_v in_o measure_n and_o consequent_o in_o height_n and_o this_o perhaps_o may_v have_v be_v the_o cause_n in_o great_a part_n why_o the_o tiber_n in_o the_o innundation_n anno_fw-la 1578._o issue_v not_o forth_o of_o its_o channel_n below_o rome_n towards_o the_o sea_n corollary_n xv._n from_o the_o same_o doctrine_n may_v be_v render_v a_o most_o manifest_a reason_n why_o the_o fall_a water_n go_v lessen_v in_o their_o descent_n so_o that_o the_o same_o fall_a water_n measure_v at_o the_o begin_n of_o its_o fall_n be_v great_a and_o big_a and_o afterward_o by_o degree_n lessen_v in_o measure_n the_o more_o it_o be_v remote_a from_o the_o begin_n of_o the_o fall_n which_o depend_v on_o no_o other_o than_o on_o the_o acquisition_n which_o it_o successive_o make_v of_o great_a velocity_n it_o be_v a_o most_o familiar_a conclusion_n among_o philosopher_n that_o grave_a body_n fall_v the_o more_o they_o remove_v from_o the_o begin_n of_o their_o motion_n the_o more_o they_o acquire_v of_o swiftness_n and_o therefore_o the_o water_n as_o a_o grave_a body_n falling_z gradual_o velocitates_fw-la and_o therefore_o decrease_v in_o measure_n and_o lessen_v corollary_n xvi_o and_o on_o the_o contrary_a the_o spirting_n of_o a_o fountain_n of_o water_n which_o spring_n on_o high_a work_v a_o contrary_a effect_n namely_o in_o the_o beginning_n they_o be_v small_a and_o afterward_o become_v great_a and_o big_a and_o the_o reason_n be_v most_o manifest_a because_o in_o the_o beginning_n they_o be_v very_o swift_a and_o afterward_o gradual_o relent_v their_o impetuosity_n and_o motion_n so_o that_o in_o the_o begin_n of_o the_o excursion_n that_o they_o make_v they_o ought_v to_o be_v small_a and_o afterward_o to_o grow_v big_a as_o in_o the_o effect_n be_v see_v appendix_n i._o into_o the_o error_n of_o not_o consider_v how_o much_o the_o different_a velocity_n of_o the_o same_o run_a water_n in_o several_a place_n of_o its_o current_n be_v able_a to_o change_v the_o measure_n of_o the_o same_o water_n and_o to_o make_v it_o great_a or_o less_o i_o think_v if_o i_o be_v not_o deceive_v that_o ginlio_n frontino_n a_o noble_a ancient_a writer_n may_v have_v fall_v in_o the_o second_o book_n which_o he_o write_v of_o the_o aqueduct_n of_o the_o city_n of_o rome_n whilst_o find_v the_o measure_n of_o the_o water_n water_n commentariis_fw-la less_o than_o it_o be_v in_o erogatione_fw-la 1263._o quinary_n he_o think_v that_o so_o much_o difference_n may_v proceed_v from_o the_o negligence_n of_o the_o measure_n and_o when_o afterward_o with_o his_o own_o industry_n he_o measure_v the_o same_o water_n at_o the_o begin_n of_o the_o aqueduct_n find_v it_o near_o 10000_o quinary_n big_a than_o it_o be_v in_o commentariis_fw-la he_o judge_v that_o the_o overplus_n be_v imbezile_v by_o minister_n and_o partaker_n which_o in_o part_n may_v be_v so_o for_o it_o be_v but_o too_o true_a that_o the_o public_a be_v almost_o always_o defraud_v yet_o nevertheless_o i_o very_o believe_v withal_o that_o beside_o the_o fraud_n of_o these_o officer_n the_o velocity_n of_o the_o water_n in_o the_o place_n wherein_o frontino_n measure_v it_o may_v be_v different_a from_o those_o velocity_n which_o be_v find_v in_o other_o place_n before_o measure_v by_o other_o and_o therefore_o the_o measure_n of_o the_o water_n may_v yea_o ought_v necessary_o to_o be_v different_a it_o have_v be_v by_o we_o demonstrate_v that_o the_o measure_n of_o the_o same_o run_a water_n have_v reciprocal_a proportion_n to_o their_o velocity_n which_o frontino_n not_o well_o consider_v and_o find_v the_o water_n in_o commentariis_fw-la 12755._o quinary_n in_o erogatione_fw-la 14018_o and_o in_o his_o own_o measure_n ad_fw-la capita_fw-la ductuum_fw-la at_o the_o head_n of_o the_o fountain_n 22755._o quinary_n or_o thereabouts_o he_o think_v that_o in_o all_o these_o place_n there_o past_a different_a quantity_n of_o water_n namely_o great_a at_o the_o fountain_n head_n than_o that_o which_o be_v in_o erogatione_fw-la and_o this_o he_o judge_v great_a than_o that_o which_o be_v in_o commentariis_fw-la appendix_n ii_o a_o like_a mistake_n chance_v late_o in_o the_o aqueduct_v of_o acqua-paola_n which_o water_n shall_v be_v 2000_o inch_n and_o so_o many_o effective_o aught_o to_o be_v allow_v and_o it_o have_v be_v give_v in_o so_o to_o be_v by_o the_o signor_n of_o bracciano_n to_o the_o apostolic-chamber_n and_o there_o be_v a_o measure_n thereof_o make_v at_o the_o begin_n of_o the_o aqueduct_v which_o measure_n prove_v afterward_o much_o less_o and_o short_a consider_v and_o take_v in_o rome_n and_o thence_o follow_v discontent_n and_o great_a disorder_n and_o all_o because_o this_o property_n of_o running-water_n of_o increase_v in_o measure_n where_o the_o velocity_n decrease_v and_o of_o diminish_v in_o measure_n where_o the_o velocity_n augment_v be_v not_o look_v into_o appendix_n iii_o a_o like_a error_n in_o my_o judgement_n have_v be_v commit_v by_o all_o those_o learned_a man_n which_o to_o prevent_v the_o diversion_n of_o the_o reno_n of_o bologna_n into_o po_n by_o the_o channel_n through_o which_o it_o at_o present_a run_v judge_v that_o the_o reno_n be_v in_o its_o great_a excrescence_n about_o 2000_o foot_n and_o the_o po_n be_v near_o 1000_o foot_n broad_a they_o judge_v i_o say_v that_o let_v the_o reno_n into_o po_n it_o will_v have_v raise_v the_o water_n of_o po_n two_o foot_n from_o which_o rise_n they_o conclude_v afterward_o most_o exorbitant_a disorder_n either_o of_o extraordinary_a inundation_n or_o else_o of_o immense_a and_o intolerable_a expense_n to_o the_o people_n in_o raise_v the_o bank_n of_o po_n and_o reno_n and_o with_o such_o like_a weakness_n often_o vain_o disturb_v the_o mind_n of_o the_o person_n concern_v but_o now_o from_o the_o thing_n demonstrare_v it_o be_v manifest_a that_o the_o measure_n of_o the_o reno_n in_o reno_n will_v be_v different_a from_o the_o measure_n of_o reno_n in_o po_n in_o case_n that_o the_o velocity_n of_o the_o reno_n in_o po_n shall_v differ_v from_o the_o velocity_n of_o reno_n in_o reno_n as_o be_v more_o exact_o determine_v in_o the_o four_o proposition_n appendix_n iu._n no_o less_o likewise_o be_v those_o ingeneer_n and_o artist_n deceive_v that_o have_v affirm_v that_o let_v the_o reno_n into_o po_n there_o will_v be_v