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may_v absolute_o be_v say_v to_o be_v in_o the_o low_a part_n of_o the_o world_n 496_o ebb_a and_o ebb_n the_o first_o general_a conclusion_n of_o the_o impossibility_n of_o ebb_a and_o flow_v the_o immobility_n of_o the_o terrestrial_a globe_n be_v grant_v 380_o the_o period_n of_o ebb_n and_o flow_n diurnal_a monthly_a and_o annual_a 381_o variety_n that_o happen_v in_o the_o diurnal_a period_n of_o the_o ebb_n and_o flow_n 382_o the_o cause_n of_o ebb_n and_o flow_n allege_v by_o a_o modern_a philosopher_n 382_o the_o cause_n of_o the_o ebb_a and_o flow_v ascribe_v to_o the_o moon_n by_o a_o certain_a prelate_n 383_o the_o cause_n of_o the_o ebb_a etc._n etc._n refer_v by_o hyeronimus_n borrius_fw-la and_o other_o peripatetic_n to_o the_o temperate_a heat_n of_o the_o moon_n 383_o answer_n to_o the_o vanity_n allege_v as_o cause_n of_o the_o ebb_a and_o flow_v 383_o it_o be_v prove_v impossible_a that_o there_o shall_v natural_o be_v any_o ebb_a and_o flow_v the_o earth_n be_v immovable_a 386_o the_o most_o potent_a and_o primary_n cause_v of_o the_o ebb_a and_o flow_v 390_o sundry_a accident_n that_o happen_v in_o the_o ebb_n and_o flow_n 391_o reason_n renew_v of_o the_o particular_a accident_n observe_v in_o the_o ebb_n and_o flow_n 393_o second_o cause_n why_o in_o several_a sea_n and_o lake_n there_o be_v no_o ebb_n and_o flow_n 394_o the_o reason_n why_o the_o ebb_n and_o flow_n for_o the_o most_o part_n be_v every_o six_o hour_n 395_o the_o cause_n why_o some_o sea_n though_o very_o long_o suffer_v no_o ebb_a and_o flow_v 395_o ebb_n and_o flow_n why_o great_a in_o the_o extremity_n of_o gulf_n and_o least_o in_o the_o middle_a part_n 396_o a_o discussion_n of_o some_o more_o abstruse_a accident_n observe_v in_o the_o ebb_a and_o flow_v 396_o the_o ebb_a and_o flow_v may_v depend_v on_o the_o diurnal_a motion_n of_o heaven_n 404_o the_o ebb_a and_o flow_v can_v depend_v on_o the_o motion_n of_o heaven_n 405_o the_o cause_n of_o the_o period_n of_o the_o ebb_n and_o flow_n monthly_o and_o annual_a at_o large_a assign_v 407_o the_o monthly_a and_o annual_a alteration_n of_o the_o ebb_n and_o flow_n can_v depend_v on_o nothing_o save_v on_o the_o alteration_n of_o the_o addition_n and_o subtraction_n of_o the_o diurnal_a period_n from_o the_o annual_a 408_o three_o way_n of_o alter_v the_o proportion_n of_o the_o addition_n of_o the_o diurnal_a revolution_n to_o the_o annual_a motion_n of_o the_o ebb_a and_o flow_v 409_o ebb_n and_o flow_n be_v petty_a thing_n in_o comparison_n of_o the_o vastness_n of_o the_o sea_n and_o the_o velocity_n of_o the_o motion_n of_o the_o terrestrial_a globe_n 417_o effect_n and_o effect_n of_o a_o new_a effect_v its_o necessary_a that_o the_o cause_n be_v likewise_o new_a 370_o the_o knowledge_n of_o the_o effect_n contribute_v to_o the_o investigation_n of_o the_o cause_n 380_o true_a and_o natural_a effect_n follow_v without_o difficulty_n 387_o alteration_n in_o the_o effect_n argue_v alteration_n in_o the_o cause_n 407_o element_n and_o their_o motion_n vide_fw-la motion_n encyclopedia_n subtlety_n sufficient_o insipid_a ironical_o speak_v and_o take_v from_o a_o certain_a encyclopedia_n 153_o experiment_n sensible_n experiment_n be_v to_o be_v prefer_v before_o humane_a argumentation_n 21_o 33_o 42._o it_o be_v good_a to_o be_v very_o cautious_a in_o admit_v experiment_n for_o true_a to_o those_o that_o never_o try_v they_o 162_o experiment_n and_o argument_n against_o the_o earth_n motion_n seem_v so_o far_o conclude_v as_o they_o lie_v under_o equivoke_v 162_o the_o authority_n of_o sensible_a experiment_n and_o necessary_a demonstration_n in_o decide_v of_o physical_a controversy_n 436_o eye_n the_o circle_n of_o the_o pupil_n of_o the_o eye_n contract_v and_o enlarge_v 329_o how_o to_o find_v the_o distance_n of_o the_o ray_n concourse_n from_o the_o pupil_n of_o the_o eye_n 329_o f_o faith_n i'faith_o more_o infallible_a than_o either_o sense_n or_o reason_n 475_o fire_n fire_n move_v direct_o upward_o by_o nature_n and_o round_o about_o by_o participation_n according_a to_o aristotle_n 122_o it_o be_v improbable_a that_o the_o element_n of_o fire_n shall_v be_v carry_v round_o by_o the_o concave_n of_o the_o moon_n 405_o figure_n and_o figure_n figure_n be_v not_o the_o cause_n of_o incorruptibility_n but_o of_o long_a duration_n 66_o the_o perfection_n of_o figure_n appear_v in_o corruptible_a body_n but_o not_o in_o the_o eternal_a 69_o if_o the_o spherical_a figure_n confer_v eternity_n all_o thing_n will_v be_v eternal_a 69_o it_o be_v more_o difficult_a to_o find_v figure_n that_o touch_v in_o a_o part_n of_o their_o surface_n then_o in_o one_o sole_a point_n 185_o the_o circular_a figure_n place_v among_o the_o postulata_fw-la of_o mathematician_n 186_o irregular_a figure_n and_o form_n difficult_a to_o be_v introduce_v 187_o superficial_a figure_n increase_v in_o proportion_n
medium_n belong_v to_o heaven_n which_o be_v neither_o grave_a nor_o light_n for_o all_o this_o philosophy_n be_v now_o forsake_v and_o of_o itself_o grow_v into_o disesteem_n for_o though_o it_o be_v receive_v for_o a_o unquestionable_a truth_n in_o this_o new_a opinion_n that_o to_o a_o simple_a body_n appertain_v one_o only_a simple_a motion_n coelest_n yet_o it_o grant_v no_o motion_n but_o what_o be_v circular_a by_o which_o alone_o a_o simple_a body_n be_v conserve_v in_o its_o natural_a place_n and_o subsist_v in_o its_o unity_n body_n and_o be_v proper_o say_v to_o move_v in_o loco_fw-la in_o a_o place_n whereby_o it_o come_v to_o pass_v that_o a_o body_n for_o this_o reason_n do_v continue_v to_o move_v in_o itself_o or_o about_o its_o own_o axis_fw-la and_o although_o it_o have_v a_o motion_n yet_o it_o abide_v still_o in_o the_o same_o place_n as_o if_o it_o be_v perpetual_o immovable_a but_o right_a motion_n which_o be_v proper_o ad_fw-la locum_fw-la to_o a_o place_n can_v be_v ascribe_v only_o to_o those_o thing_n which_o be_v out_o of_o their_o natural_a place_n be_v far_o from_o union_n with_o one_o another_o and_o from_o unity_n with_o their_o whole_a yea_o that_o be_v separate_v and_o divide_v from_o it_o which_o be_v that_o it_o be_v contrary_a to_o the_o nature_n and_o form_n of_o the_o universe_n place_n it_o necessary_o follow_v that_o right_a motion_n do_v in_o short_a suit_n with_o those_o thing_n which_o be_v destitute_a of_o that_o perfection_n that_o according_a to_o their_o proper_a nature_n belong_v to_o they_o and_o which_o by_o this_o same_o right_a motion_n they_o labour_v to_o obtain_v until_o they_o be_v redintigrate_v with_o their_o whole_a and_o with_o one_o another_o and_o restore_v to_o their_o natural_a place_n in_o which_o at_o the_o length_n have_v obtain_v their_o perfection_n they_o settle_v and_o remain_v immovable_a simple_a therefore_o in_o right_a motion_n there_o can_v be_v no_o uniformity_n nor_o simplicity_n for_o that_o they_o vary_v by_o reason_n of_o the_o uncertain_a levity_n or_o gravity_n of_o their_o respective_a body_n for_o which_o cause_n they_o do_v not_o persevere_v in_o the_o same_o velocity_n or_o tardity_n to_o the_o end_n which_o they_o have_v in_o the_o beginning_n hence_o we_o see_v that_o those_o thing_n who_o weight_n make_v they_o tend_v downward_o do_v descend_v at_o first_o with_o a_o slow_a motion_n but_o afterward_o as_o they_o approach_v near_o and_o near_o to_o the_o centre_n they_o precipitate_v more_o and_o more_o swift_o and_o on_o the_o otherside_n those_o thing_n which_o by_o reason_n of_o their_o lightness_n be_v carry_v upward_o as_o this_o our_o terrestrial_a fire_n which_o be_v nothing_o else_o but_o a_o smoke_n that_o burn_v and_o be_v enkindle_v into_o a_o flame_n be_v no_o soon_o ascend_v on_o high_a but_o in_o almost_o the_o selfsame_a moment_n they_o fly_v and_o vanish_v out_o of_o sight_n by_o reason_n of_o the_o rare-faction_n and_o extension_n that_o they_o as_o soon_o as_o they_o acquire_v be_v free_v from_o those_o bond_n which_o violent_o and_o against_o their_o own_o nature_n keep_v they_o under_o circular_a and_o detain_v they_o here_o below_o for_o which_o reason_n it_o be_v very_o apparent_a that_o no_o right_a motion_n can_v be_v call_v simple_a not_o only_o in_o regard_n that_o as_o have_v be_v say_v it_o be_v not_o aequabilis_fw-la even_o and_o uniform_a but_o also_o because_o it_o be_v mix_v with_o the_o circular_a which_o lurk_v in_o the_o right_n by_o a_o occult_a consent_n scilicet_fw-la by_o reason_n of_o the_o natural_a affection_n of_o the_o part_n to_o conform_v unto_o their_o whole_a for_o when_o the_o whole_a move_v circular_o it_o be_v requisite_a likewith_o that_o the_o part_n to_o the_o end_n that_o they_o may_v be_v unite_v to_o their_o whole_a howbeit_o per_fw-la accidens_fw-la they_o be_v sometime_o move_v with_o a_o right_a motion_n do_v move_v though_o not_o so_o apparent_o with_o a_o circular_a motion_n as_o do_v their_o whole_a and_o thus_o at_o length_n we_o have_v envince_v that_o circular_a motion_n only_o be_v simple_a uniform_a and_o perpetual_a aequable_v and_o of_o the_o same_o tenor_n or_o rate_n for_o that_o it_o be_v never_o destitute_a of_o its_o intern_a cause_n whereas_o on_o the_o contrary_a right_a motion_n which_o pertain_v to_o thing_n both_o heavy_a and_o light_a have_v a_o cause_n that_o be_v imperfect_a and_o deficient_a yea_o that_o arise_v from_o defect_n itself_o and_o that_o tend_v to_o and_o seek_v after_o nothing_o else_o but_o the_o end_n and_o termination_n of_o itself_o in_o regard_n that_o grave_a and_o light_a body_n when_o once_o they_o have_v attain_v their_o proper_a and_o natural_a place_n do_v desist_v from_o that_o motion_n to_o which_o they_o be_v incite_v by_o levity_n and_o gravity_n part_n therefore_o since_o circular_a motion_n be_v proper_a to_o the_o whole_a and_o right_a motion_n to_o the_o part_n these_o difference_n be_v not_o right_o refer_v to_o motion_n so_o as_o to_o call_v one_o motion_n right_o another_o circular_a as_o if_o they_o be_v not_o consistent_a with_o one_o another_o body_n for_o they_o may_v be_v both_o together_o and_o that_o naturally_n in_o the_o same_o body_n no_o less_o than_o it_o be_v equal_o natural_a for_o a_o man_n to_o participate_v of_o sense_n and_o reason_n see_v that_o these_o difference_n be_v not_o direct_o opposite_a to_o one_o another_o hereupon_o rest_v and_o immobility_n only_o be_v oppose_v to_o motion_n and_o not_o one_o species_n of_o motion_n to_o another_o and_o for_o the_o other_o difference_n à _fw-la medio_fw-la ad_fw-la medium_n and_o circa_fw-la medium_n they_o be_v distinguish_v not_o real_o but_o only_o formal_o as_o the_o point_n line_n and_o superficies_n none_o of_o which_o can_v be_v without_o the_o other_o two_o or_o without_o a_o body_n hence_o it_o appear_v that_o in_o as_o much_o as_o this_o philosophy_n differ_v from_o that_o of_o aristotle_n so_o in_o like_a manner_n do_v this_o new_a cosmographical_a system_n vary_v from_o the_o common_a one_o that_o have_v be_v hitherto_o receive_v but_o this_o by_o the_o way_n upon_o occasion_n of_o explain_v the_o five_o maxim_n for_o as_o to_o the_o truth_n or_o falsehood_n of_o these_o forego_v position_n although_o i_o conceive_v they_o very_o probable_a i_o be_o resolve_v to_o determine_v nothing_o at_o present_a neither_o shall_v i_o make_v any_o far_a enquiry_n into_o they_o the_o six_o and_o last_o maxim_n be_v this_o every_o thing_n be_v simple_o denominate_v such_o as_o it_o be_v in_o comparison_n of_o all_o thing_n or_o of_o many_o thing_n which_o make_v the_o great_a number_n of_o that_o kind_n but_o not_o in_o respect_n of_o a_o few_o which_o make_v but_o the_o lesser_a part_n of_o they_o as_o for_o instance_n a_o vessel_n shall_v not_o be_v call_v absolute_o great_a because_o it_o be_v so_o whilst_o it_o be_v compare_v with_o two_o or_o three_o other_o but_o it_o shall_v be_v say_v to_o be_v great_a absolute_o and_o will_v be_v so_o if_o it_o exceed_v in_o magnitude_n all_o indivial_n or_o the_o great_a part_n of_o they_o nor_o again_o shall_v a_o man_n be_v say_v to_o be_v absolute_o big_a because_o he_o be_v big_a than_o a_o pigmy_n nor_o yet_o absolute_o little_a because_o less_o than_o a_o giant_n but_o he_o shall_v be_v term_v absolute_o big_a or_o little_a in_o comparison_n of_o the_o ordinary_a stature_n of_o the_o great_a part_n of_o men._n thus_o the_o earth_n can_v absolute_o be_v say_v to_o be_v high_a or_o low_a for_o that_o it_o be_v find_v to_o be_v so_o in_o respect_n of_o some_o small_a part_n of_o the_o universe_n nor_o again_o shall_v it_o be_v absolute_o affirm_v to_o be_v high_a be_v compare_v to_o the_o centre_n of_o the_o world_n or_o some_o few_o part_n of_o the_o universe_n more_o near_o to_o the_o say_a centre_n as_o be_v the_o sun_n mercury_n or_o venus_n but_o it_o shall_v receive_v its_o absolute_a denomination_n according_a as_o it_o shall_v be_v find_v to_o be_v in_o comparison_n of_o the_o great_a number_n of_o the_o sphere_n and_o body_n of_o the_o universe_n world_n the_o earth_n therefore_o in_o comparison_n of_o the_o whole_a circuit_n of_o the_o eight_o sphere_n which_o include_v all_o corporeal_a creature_n and_o in_o comparison_n of_o jupiter_n mars_n and_o saturn_n together_o with_o the_o moon_n and_o much_o more_o in_o comparison_n of_o other_o body_n if_o any_o such_o there_o be_v above_o the_o eight_o sphere_n and_o especial_o the_o empyrial_a heaven_n may_v be_v true_o say_v to_o be_v in_o the_o low_a place_n of_o the_o world_n and_o almost_o in_o the_o centre_n of_o it_o nor_o can_v it_o he_o say_v to_o be_v above_o any_o of_o they_o except_o the_o sun_n mercury_n and_o venus_n so_o that_o one_o may_v apply_v unto_o it_o the_o name_n of_o a_o infime_v and_o low_a but_o
in_o italian_a weight_n and_o measure_n and_o 100_o pound_n haverdupoise_v make_v 1â—1_n l._n florentine_n and_o 100_o englâ—â—_n 〈◊〉_d make_v 150â—_n 〈◊〉_d florent_fw-la so_o that_o the_o brace_n or_o yard_n of_o our_o author_n be_v 1_o 4_o of_o our_o yard_n yard_n the_o italian_a measure_n which_o i_o common_o translate_v yard_n yard_n the_o italian_a mâ—le_n be_v 〈◊〉_d of_o our_o mile_n the_o fall_a movable_n if_o it_o move_v with_o a_o degree_n of_o velocity_n acquire_v in_o a_o like_a time_n with_o a_o uniform_a motion_n it_o shall_v pass_v a_o space_n double_a to_o that_o pass_v with_o the_o accelerate_a motion_n the_o motion_n of_o grave_n penduli_fw-la may_v be_v perpetuate_v impediment_n be_v remove_v if_o the_o terrestrial_a globe_n be_v perforate_v a_o grave_a body_n descend_v by_o that_o bore_n will_v pass_v and_o ascend_v as_o far_o beyond_o the_o centre_n as_o it_o do_v descend_v the_o acceleration_n of_o grave_a body_n natural_o descendent_a increase_v from_o moment_n 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which_o carry_v grave_a project_n upward_o be_v no_o less_o natural_a to_o they_o than_o the_o gravity_n which_o move_v they_o downward_o contrary_a principle_n can_v natural_o reside_v in_o the_o same_o subject_n the_o natural_a motion_n change_v itself_o into_o that_o which_o be_v call_v preternatural_a and_o violent_a the_o propension_n of_o elementary_a body_n to_o follow_v the_o earth_n have_v a_o limit_a sphere_n of_o activity_n of_o the_o mix_a motion_n we_o see_v not_o the_o part_n that_o be_v circular_a because_o we_o partake_v thereof_o thing_n grave_a be_v before_o the_o centre_n of_o gravity_n the_o great_a maâ—_n of_o grave_a body_n be_v transfer_v cut_v of_o their_o place_n the_o separate_a part_n will_v follow_v that_o 〈◊〉_d it_o be_v not_o impossible_a with_o the_o circumference_n of_o a_o small_a 〈◊〉_d for_o time_n â—â—volved_v to_o measure_n and_o describâ—â—_n 〈…〉_z great_a circle_n whatsoever_o whatsoever_o goâ—dâ—_n la._n la._n the_o â—ame_n of_o the_o author_n be_v scipio_n claramontius_n the_o opinion_n of_o copernicus_n overthrow_v the_o criterium_fw-la of_o philosophy_n common_a motion_n be_v as_o if_o it_o never_o be_v the_o argument_n take_v from_o thing_n fall_v perpendicular_o another_o way_n confute_v where_o â—e_a motion_n of_o 〈◊〉_d body_n be_v collect_v the_o motion_n of_o the_o eye_n argue_v the_o motion_n of_o the_o obâ—ect_n look_v on_o a_o experiment_n that_o 〈◊〉_d how_o the_o common_a motion_n be_v imperceptible_a a_o ingenuous_a consideration_n about_o the_o possibility_n of_o use_v the_o telescope_n with_o as_o much_o facility_n on_o the_o round_a top_n of_o the_o mast_n of_o a_o ship_n as_o on_o the_o deck_n deck_n i_o deviate_v here_o from_o the_o strict_a sea_n diallect_v which_o denominate_v all_o distance_n by_o league_n different_a motion_n depend_v on_o the_o fluctuation_n of_o the_o ship_n ship_n greco_n which_o the_o latin_a translator_n according_a to_o his_o usual_a carelessness_n to_o call_v it_o no_o worse_o 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conclusive_a argument_n so_o do_v not_o the_o false_a false_a cinque_fw-fr 〈◊〉_d seâ—_n braccia_fw-it
though_o indeed_o they_o have_v a_o influence_n upon_o the_o element_n it_o be_v requisite_a if_o you_o will_v prove_v generation_n and_o corruption_n in_o celestial_a body_n that_o you_o show_v that_o there_o reside_v contrariety_n between_o they_o sagr._fw-la see_v how_o i_o will_v find_v those_o contrariety_n between_o they_o the_o first_o fountain_n from_o whence_o you_o derive_v the_o contrariety_n of_o the_o element_n be_v the_o contrariety_n of_o their_o motion_n upward_o and_o downward_o it_o therefore_o be_v necessary_a that_o those_o principle_n be_v in_o like_a manner_n contrary_n to_o each_o other_o quality_n upon_o which_o those_o motion_n depend_v and_o because_o that_o be_v movable_a upward_o by_o lightness_n and_o this_o downward_o by_o gravity_n it_o be_v necessary_a that_o lightness_n and_o gravity_n be_v contrary_a to_o each_o other_o no_o less_o be_v we_o to_o believe_v those_o other_o principle_n to_o be_v contrary_n which_o be_v the_o cause_n that_o this_o be_v 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be_v generable_a and_o corruptible_a in_o the_o same_o manner_n as_o the_o elementary_a body_n be_v or_o else_o that_o contrariety_n be_v not_o the_o cause_n of_o corruptibility_n element_n etc._n etc._n simpl._n there_o be_v no_o necessity_n either_o of_o one_o or_o the_o other_o for_o that_o density_n and_o rarity_n in_o celestial_a body_n be_v not_o contrary_n to_o each_o other_o as_o in_o elementary_a body_n for_o that_o they_o depend_v not_o on_o the_o primary_n quality_n cold_a and_o heat_n which_o be_v contrary_n but_o on_o the_o more_o or_o less_o matter_n in_o proportion_n to_o quantity_n now_o much_o and_o little_a speak_v only_o a_o relative_a opposition_n that_o be_v the_o least_o of_o opposition_n and_o which_o have_v nothing_o to_o do_v with_o generation_n and_o corruption_n sagr._fw-la therefore_o affirm_v that_o density_n and_o rarity_n which_o among_o the_o element_n shall_v be_v the_o cause_n of_o gravity_n and_o levity_n which_o may_v be_v the_o cause_n of_o 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the_o sun_n it_o will_v never_o behold_v the_o earth_n of_o which_o the_o dark_a part_n will_v be_v continual_o turn_v towards_o the_o moon_n and_o therefore_o invisible_a but_o when_o the_o moon_n be_v in_o quadrature_n of_o the_o sun_n that_o half_a of_o the_o terrestrial_a hemisphere_n expose_v to_o the_o sight_n of_o the_o moon_n which_o be_v towards_o the_o sun_n be_v luminous_a and_o the_o other_o towards_o the_o contrary_n be_v obscure_a and_o therefore_o the_o illuminate_v part_n of_o the_o earth_n will_v represent_v itself_o to_o the_o moon_n in_o a_o semicircular_a figure_n sagr._fw-la i_o clear_o perceive_v all_o this_o and_o understand_v very_o well_o that_o the_o moon_n depart_v from_o its_o opposition_n to_o the_o sun_n where_o it_o see_v no_o part_n of_o the_o illumination_n of_o the_o terrestrial_a superficies_n and_o approach_a day_n by_o day_n near_o the_o sun_n she_o begin_v by_o little_a and_o little_a to_o discover_v some_o part_n of_o the_o face_n of_o the_o 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angle_n and_o to_o so_o speak_v excrescency_n will_v corrupt_v but_o if_o we_o proceed_v to_o a_o more_o inward_a consideration_n that_o in_o those_o part_n also_o towards_o the_o angle_n there_o be_v comprise_v other_o lesser_a ball_n of_o the_o same_o matter_n and_o therefore_o they_o also_o as_o be_v round_o must_v be_v also_o incorruptible_a and_o likewise_o in_o the_o remainder_n which_o environ_v these_o eight_o lesser_a sphere_n a_o man_n may_v understand_v that_o there_o be_v other_o so_o that_o in_o the_o end_n resolve_v the_o whole_a die_n into_o innumerable_a ball_n it_o must_v necessary_o be_v grant_v incorruptible_a and_o the_o same_o discourse_n and_o resolution_n may_v be_v make_v in_o all_o other_o figure_n salv_n your_o method_n in_o make_v the_o conclusion_n for_o if_o v._n g._n a_o round_a crystal_n be_v by_o reason_n of_o its_o figure_n incorruptible_a namely_o receive_v from_o thence_o a_o facu_o of_o resist_v all_o internal_a and_o external_a alteration_n we_o 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in_o those_o that_o distend_v themselves_o for_o a_o great_a length_n from_o west_n to_o east_n namely_o according_a to_o the_o course_n of_o the_o motion_n of_o the_o terrestrial_a globe_n and_o as_o it_o be_v in_o a_o certain_a manner_n unthought_a of_o and_o without_o a_o precedent_n among_o the_o motion_n possible_a to_o be_v make_v by_o we_o so_o it_o be_v not_o hard_o for_o i_o to_o believe_v that_o effect_n may_v be_v derive_v from_o the_o same_o which_o be_v not_o to_o be_v imitate_v by_o our_o artificial_a experiment_n salv_n these_o thing_n be_v declare_v it_o be_v time_n that_o we_o proceed_v to_o examine_v the_o particular_a accident_n which_o together_o with_o their_o diversity_n be_v observe_v by_o experience_n in_o the_o ebb_a and_o flow_v of_o the_o water_n flow_n and_o first_o we_o need_v not_o think_v it_o hard_o to_o guess_v whence_o it_o happen_v that_o in_o lake_n pool_n and_o also_o in_o the_o lesser_a sea_n there_o be_v no_o notable_a flux_n and_o reflux_n the_o 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the_o isle_n of_o corsica_n and_o sardinnia_n and_o in_o the_o strand_n of_o rome_n and_o leghorn_n where_o it_o exceed_v not_o half_a a_o foot_n we_o shall_v understand_v also_o why_o on_o the_o contrary_a where_o the_o rise_n and_o fall_n be_v small_a the_o course_n and_o recourse_n be_v great_a i_o say_v it_o be_v a_o easy_a thing_n to_o understand_v the_o cause_n of_o these_o accident_n see_v that_o we_o meet_v with_o many_o manifest_a occurrence_n of_o the_o same_o nature_n in_o every_o kind_n of_o vessel_n by_o we_o artificial_o compose_v in_o which_o the_o same_o effect_n be_v observe_v natural_o to_o follow_v upon_o our_o move_n it_o uneven_o that_o be_v one_o while_o fast_o and_o another_o while_n flower_n moreover_o large_a consider_v in_o the_o five_o place_n that_o the_o same_o quantity_n of_o water_n be_v move_v though_o but_o gentle_o in_o a_o spacious_a channel_n come_v afterward_o to_o go_v through_o a_o narrow_a passage_n will_v of_o necessity_n run_v with_o great_a 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the_o say_a isle_n and_o the_o ethiopian_a coast._n and_o the_o current_n must_v needs_o be_v very_o great_a in_o the_o straits_n of_o megallanes_n which_o join_v together_o the_o vast_a ocean_n of_o ethiopia_n and_o deal_v zur_n call_v also_o the_o pacifick_n sea_n it_o follow_v now_o in_o the_o six_o place_n â—â—â—wing_v that_o to_o render_v a_o reason_n of_o some_o more_o abstruse_a and_o incredible_a accident_n which_o be_v observe_v upon_o this_o occasion_n we_o make_v a_o considerable_a reflection_n upon_o the_o two_o principal_a cause_n of_o ebbing_n and_o flow_n afterward_o compound_v and_o mix_v they_o together_o the_o first_o and_o simple_a of_o which_o be_v as_o have_v often_o be_v say_v the_o determinate_a acceleration_n and_o retardation_n of_o the_o part_n of_o the_o earth_n from_o whence_o the_o water_n have_v a_o determinate_a period_n put_v to_o their_o decursion_n towards_o the_o east_n and_o return_v towards_o the_o west_n in_o the_o time_n of_o twenty_o four_o hour_n the_o other_o be_v that_o which_o depend_v on_o the_o proper_a gravity_n of_o the_o water_n which_o be_v once_o commove_v by_o the_o primary_n cause_n seek_v in_o the_o next_o place_n to_o reduce_v itself_o to_o aequilibrium_fw-la with_o iterate_a reciprocation_n which_o be_v not_o determine_v by_o one_o sole_a and_o prefix_a time_n but_o have_v as_o many_o variety_n of_o time_n as_o be_v the_o different_a length_n and_o profundity_n of_o the_o receptacle_n and_o straits_n of_o sea_n and_o by_o what_o depend_v on_o this_o second_o principle_n they_o will_v ebb_v and_o flow_v some_o in_o one_o hour_n other_o in_o two_o in_o four_o in_o six_o in_o eight_o in_o ten_o etc._n etc._n now_o if_o we_o begin_v to_o put_v together_o the_o first_o cause_n which_o have_v its_o set_a period_n from_o twelve_o hour_n to_o twelve_o hour_n with_o some_o one_o of_o the_o secondary_a that_o have_v its_o period_n verb._n great_a from_o five_o hour_n to_o five_o hour_n it_o will_v come_v to_o pass_v 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the_o helix_fw-la about_o the_o cylinder_n may_v be_v say_v to_o be_v a_o simple_a line_n 7_o hypothesis_n the_o true_a hypothesis_n may_v dispatch_v its_o revolution_n in_o a_o short_a time_n in_o lesser_a circle_n than_o in_o great_a the_o which_o be_v prove_v by_o two_o example_n 410_o i_o jest_v a_o jest_n put_v upon_o one_o that_o offer_v to_o sell_v a_o certain_a secret_n of_o hold_v correspondence_n at_o a_o thousand_o miles_n distance_n 79_o a_o jest_n of_o a_o certain_a statuary_n 94_o impossibility_n and_o impossibility_n nature_n attempt_v not_o impossibility_n 10_o to_o seek_v what_o will_v follow_v upon_o a_o impossibility_n be_v folly_n 22_o incorruptibility_n incorruptibility_n esteem_v by_o the_o vulgar_a out_o of_o their_o fear_n of_o death_n 45_o infinity_o of_o infinity_o the_o part_n be_v not_o one_o great_a than_o another_o although_o they_o be_v comparative_o unequal_a 106_o instrument_n and_o instrument_n instrument_n astronomical_a very_a subject_n to_o error_n 262_o copernicus_n understand_v not_o some_o thing_n for_o want_n of_o instrument_n 338_o a_o proof_n of_o the_o small_a credit_n that_o be_v to_o be_v give_v to_o astronomical_a instrument_n in_o minute_n observation_n 351_o ptolemy_n do_v not_o confide_v in_o a_o instrument_n make_v by_o archimedes_n 352_o instrument_n of_o tycho_n make_v with_o great_a expense_n 352_o what_o instrument_n be_v most_o apt_a for_o exact_a observation_n 352_o inventor_n the_o first_o inventor_n and_o observer_n of_o thing_n ought_v to_o be_v admire_v 370_o joshuah_n the_o miracle_n of_o joshuah_n in_o command_v the_o sun_n to_o stand_v still_o contradict_v the_o ptolomaick_a system_n 456_o joshuahs_n miracle_n admirable_o agree_v with_o the_o pythagorick_a systeme_n 457_o iron_n it_o be_v prove_v that_o iron_n consist_v of_o part_n more_o subtle_a pure_a and_o compact_a than_o the_o magnet_n 370_o jupiter_n jupiter_n and_o saturn_n do_v encompass_v the_o earth_n and_o the_o sun_n 258_o jupiter_n augment_v less_o by_o irradiation_n than_o the_o dog-star_n 305_o k_o kepler_n the_o argument_n of_o kepler_n in_o favour_n of_o copernicus_n 242_o a_o explanation_n of_o the_o true_a sense_n of_o kepler_n and_o his_o defence_n 243_o the_o feign_a answer_n of_o kepler_n couch_v in_o a_o artificial_a irony_n 244_o kepler_n be_v with_o respect_n blame_v 422_o kepler_n reconcile_n of_o scripture_n text_n which_o the_o copernican_n hypothesis_n 461_o know_v etc._n etc._n the_o have_v a_o perfect_a knowledge_n of_o nothing_o make_v some_o believe_v they_o understand_v all_o thing_n 84_o god_n manner_n of_o know_v different_a from_o that_o of_o man._n 87_o the_o great_a felicity_n for_o which_o they_o be_v to_o be_v envy_v who_o persuade_v themselves_o that_o they_o know_v every_o thing_n 164_o our_o knowledge_n be_v a_o kind_n of_o reminiscence_n according_a to_o plato_n 169_o l_o light_n light_o reflect_v from_o the_o earth_n into_o the_o moon_n 52_o the_o reflex_n light_n of_o uneven_a body_n be_v more_o universal_a than_o that_o of_o the_o smooth_a and_o why_o 62_o the_o more_o rough_a superficies_n make_v great_a reflection_n of_o light_n than_o the_o less_o rough_a 65_o perpendicular_a ray_n of_o light_n illuminate_v more_o than_o the_o oblique_a and_o why_o 65_o the_o more_o oblique_a ray_n of_o light_n illuminate_v less_o and_o why_o 65_o light_n or_o luminous_a body_n appear_v the_o bright_a in_o a_o obscure_a ambient_fw-la 74_o line_n the_o right_a line_n and_o circumference_n of_o a_o infinite_a circle_n be_v the_o same_o thing_n 342_o lawyer_n contentious_a lawyer_n that_o be_v retain_v in_o a_o ill_a cause_n keep_v close_o to_o some_o expression_n fall_v from_o the_o adverse_a party_n at_o unaware_o 324_o looking-glass_n flat_a looking-glass_n cast_v forth_o their_o reflection_n towards_o but_o one_o place_n but_o the_o spherical_a every_o way_n 39_o lyncean_a the_o lyncean_a academic_a the_o first_o discoverer_n of_o the_o solar_a spot_n and_o all_o the_o other_o celestial_a novelty_n 312_o the_o history_n of_o his_o proceed_n for_o a_o long_a time_n about_o the_o observation_n of_o the_o solar_a spot_n 312_o m_o magnet_n many_o property_n in_o the_o magnet_n 367_o the_o magnet_n arm_v take_v up_o more_o iron_n than_o when_o unarm_v 369_o the_o true_a cause_n of_o the_o multiplication_n of_o virtue_n in_o the_o magnet_n by_o mean_n of_o the_o arm_v 370_o a_o sensible_a proof_n of_o the_o impurity_n of_o the_o magnet_n 371_o the_o several_a natural_a motion_n of_o the_o magnet_n 374_o philosopher_n be_v force_v to_o confess_v that_o the_o magnet_n be_v compound_v of_o celestial_a substance_n and_o of_o elementary_a 375_o the_o error_n of_o those_o who_o call_v the_o magnet_n a_o mix_a body_n and_o the_o terrestrial_a globe_n a_o simple_a body_n 375_o a_o improbable_a effect_n admire_v by_o gilbertus_n in_o the_o magnet_n 376_o magnetic_a philosophy_n the_o magnetic_a philosophy_n of_o william_n gilbert_n 364_o magnitude_n the_o magnitude_n of_o the_o orb_n and_o the_o velocity_n of_o the_o motion_n of_o planet_n
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
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
and_o continue_v to_o divert_v 17_o 100_o the_o height_n of_o the_o river_n abate_v likewise_o 1_o 10_o and_o so_o proceed_v to_o divert_v 15_o 100_o and_o then_o 13_o 100_o and_o then_o 11_o 100_o and_o then_o 9_o 100_o and_o then_o 7_o 100_o and_o then_o 5_o 100_o and_o then_o 3_o 106_o always_o by_o each_o of_o these_o diversion_n the_o height_n of_o the_o run_v water_n diminish_v the_o ten_o part_n although_o that_o the_o diversion_n be_v so_o unequal_a reflect_v i_o say_v upon_o this_o infallible_a truth_n i_o have_v have_v a_o conceit_n that_o though_o the_o reno_n and_o other_o river_n be_v divert_v from_o the_o valley_n and_o there_o be_v only_o leave_v the_o channel_n of_o navigation_n which_o be_v only_o the_o 1_o 20_o part_n of_o the_o whole_a water_n that_o fall_v into_o the_o valley_n yet_o nevertheless_o the_o water_n in_o those_o same_o valley_n will_v retain_v a_o ten_o part_n of_o that_o height_n that_o become_v conjoin_v by_o the_o concourse_n of_o all_o the_o river_n and_o therefore_o i_o shall_v think_v that_o it_o be_v the_o best_a resolution_n to_o maintain_v the_o channel_n of_o navigation_n if_o it_o be_v possible_a continuate_a unto_o the_o po_n of_o ferrara_n and_o from_o thence_o to_o carry_v it_o into_o the_o po_n of_o volano_n for_o beside_o that_o it_o will_v be_v of_o very_o great_a ease_n in_o the_o navigation_n of_o bologna_n and_o ferrara_n the_o say_a water_n will_v render_v the_o po_n of_o volano_n navigable_a as_o far_o as_o to_o the_o very_a wall_n of_o ferrara_n and_o consequent_o the_o navigation_n will_v be_v continuate_a from_o bologna_n to_o the_o seaside_n but_o to_o manage_v this_o enterprise_n well_o it_o be_v necessary_a to_o measure_v the_o quantity_n of_o the_o water_n that_o the_o river_n discharge_v into_o the_o valley_n and_o that_o which_o the_o channel_n of_o navigation_n carry_v in_o manner_n as_o i_o have_v demonstrate_v at_o the_o begin_n of_o this_o book_n for_o this_o once_o know_v we_o shall_v also_o come_v to_o know_v how_o profitable_a this_o diversion_n of_o the_o channel_n of_o navigation_n from_o the_o valley_n be_v like_a to_o prove_v which_o yet_o will_v still_o be_v unprofitable_a if_o so_o be_v that_o all_o the_o river_n that_o discharge_v their_o water_n into_o the_o valley_n shall_v not_o first_o be_v drain_v according_a to_o what_o have_v be_v above_o advertise_v abbot_n castelli_n in_o the_o present_a consideration_n refer_v himself_o to_o the_o relation_n of_o monsig_n corsini_n ground_v upon_o the_o observation_n and_o precept_n of_o the_o say_a abbot_n as_o be_v see_v in_o the_o present_a discourse_n i_o think_v it_o convenient_a for_o the_o complete_n of_o the_o work_n of_o our_o author_n upon_o these_o subject_n to_o insert_v it_o in_o this_o place_n a_o relation_n of_o the_o water_n in_o the_o territory_n of_o bologna_n and_o ferrara_n by_o the_o right_n honourable_a and_o illustrious_a monsignore_n corsini_n a_o native_a of_o tuscany_n superintendent_n of_o the_o general_n drain_v and_o precedent_n of_o romagna_n the_o rheno_n and_o other_o brook_n of_o romagna_n be_v by_o the_o advice_n of_o p._n agostino_n spernazzati_n the_o jesuit_n towards_o the_o latter_a end_n of_o the_o time_n of_o pope_n clement_n viii_o notwithstanding_o the_o opposition_n of_o the_o bolognesi_n and_o other_o concern_v therein_o divert_v from_o their_o channel_n for_o the_o more_o commodious_a cleanse_n of_o the_o po_n of_o ferrara_n and_o of_o its_o two_o branch_n of_o primaro_n and_o volano_n in_o order_n to_o the_o introduce_v the_o water_n of_o the_o main-po_n into_o they_o to_o the_o end_n that_o their_o wont_a torrent_n be_v restore_v they_o may_v carry_v the_o muddy-water_n thence_o into_o the_o sea_n and_o restore_v to_o the_o city_n the_o navigation_n which_o be_v last_o as_o be_v manifest_a by_o the_o brief_a of_o the_o say_a pope_n clement_n direct_v to_o the_o cardinal_n san_n clemence_n bear_v date_n the_o 22._o of_o august_n 1604._o the_o work_n of_o the_o say_v cleanse_v and_o introduce_v of_o the_o say_v po_n either_o as_o be_v such_o in_o itself_o or_o by_o the_o contention_n of_o the_o cardinal_n legate_n then_o in_o these_o part_n and_o the_o jarring_n that_o happen_v betwixt_o they_o prove_v so_o difficult_a that_o after_o the_o expense_n of_o vast_a sum_n in_o the_o space_n of_o 21._o year_n there_o have_v be_v nothing_o do_v save_o the_o render_n of_o it_o the_o more_o difficult_a to_o be_v effect_v interim_n the_o torrent_n with_o their_o water_n both_o muddy_a and_o clear_a have_v damage_v the_o ground_n lie_v on_o the_o right_a hand_n of_o the_o po_n of_o argenta_n and_o the_o rheno_n those_o on_o its_o bank_n of_o which_o i_o will_v speak_v in_o the_o first_o place_n as_o of_o that_o which_o be_v of_o great_a importance_n and_o from_o which_o the_o principal_a cause_n of_o the_o mischief_n that_o result_v from_o the_o rest_n do_v proceed_v this_o rheno_n have_v overflow_v the_o lordship_n tennency_n of_o sanmartina_n in_o circumference_n about_o fourteen_o mile_n give_v it_o before_o and_o part_n of_o that_o of_o cominale_n give_v it_o afterward_o as_o it_o be_v for_o a_o receptacle_n from_o whence_o have_v depose_v the_o matter_n of_o its_o muddiness_n it_o issue_v clear_a by_o the_o mouth_n of_o masi_fw-la and_o of_o lievaloro_n into_o the_o po_n of_o primaro_n and_o of_o volano_n do_v break_v down_o the_o encompass_v bank_n or_o dam_n towards_o s._n martino_n and_o that_o of_o its_o new_a channel_n on_o the_o right_a hand_n near_o to_o torre_n del_fw-it fondo_n by_o the_o breach_n on_o this_o side_n it_o stream_v out_o in_o great_a abundance_n from_o the_o upper_a part_n of_o cominale_n and_o in_o the_o part_n about_o raveda_n pioggio_n caprara_n ghiare_fw-it di_fw-it reno_n saint_n '_o agostino_n san_n prospero_n san_n vincenzo_n and_o other_o and_o make_v they_o to_o become_v incultivable_a it_o make_v also_o those_o place_n above_o but_o little_a fruitful_a by_o reason_n of_o the_o impediment_n that_o their_o drain_v receive_v find_v the_o conveyance_n call_v riolo_n and_o scorsuro_fw-la not_o only_o fill_v by_o la_fw-fr motta_n and_o la_fw-fr belletta_n but_o that_o they_o turn_v backward_o of_o themselves_o but_o by_o the_o mouth_n in_o the_o enclose_v bank_n or_o dam_n at_o borgo_n di_fw-mi s._n martino_n issue_v with_o violence_n it_o first_o give_v obstruction_n to_o the_o ancient_a navigation_n of_o la_fw-fr torre_n della_fw-it fossa_n and_o afterward_o to_o the_o modern_a of_o the_o mouth_n of_o masi_fw-la so_o that_o at_o present_a the_o commerce_n between_o bologna_n and_o ferrara_n be_v lose_v nor_o can_v it_o ever_o be_v in_o any_o durable_a way_n renew_v whilst_o that_o this_o exceed_v its_o due_a bound_n and_o what_o ever_o money_n shall_v be_v employ_v about_o the_o same_o shall_v be_v without_o any_o equivalent_a benefit_n and_o to_o the_o manifest_a and_o notable_a prejudice_n of_o the_o exchequer_n apostolic_a chamber_n thence_o pass_v into_o the_o valley_n of_o marzara_n it_o swell_v high_a not_o only_o by_o the_o rise_n of_o the_o water_n but_o by_o the_o raise_n of_o the_o bottom_n by_o reason_n of_o the_o matter_n sink_v thither_o after_o land-flood_n and_o dilate_v so_o that_o it_o cover_v all_o the_o meadow_n thereabouts_o nor_o do_v it_o receive_v with_o the_o wont_a facility_n the_o drain_v of_o the_o upper_a ground_n of_o which_o the_o next_o unto_o it_o lie_v under_o the_o water_n that_o return_v upward_o by_o the_o conveyance_n and_o the_o more_o remote_a not_o find_v a_o passage_n for_o rain-water_n that_o settle_v become_v either_o altogether_o unprofitable_a or_o little_a better_a from_o this_o valley_n by_o the_o trench_n or_o ditch_n of_o marzara_n or_o of_o la_fw-fr duca_n by_o la_fw-fr buova_n or_o mouth_n of_o castaldo_n de_fw-fr rossi_n and_o by_o the_o new_a passage_n it_o fall_v into_o the_o po_n of_o argenta_n which_o be_v to_o receive_v it_o clear_a that_o so_o it_o may_v sink_v far_o therein_o and_o receive_v it_o muddy_a because_o it_o have_v acquire_v a_o quick_a course_n there_o will_v arise_v a_o very_a contrary_a effect_n here_o therefore_o the_o superficies_n of_o the_o water_n keep_v high_a until_o it_o come_v to_o the_o sea_n hinder_v the_o valley_n of_o ravenna_n where_o the_o river_n senio_fw-la those_o of_o san_n bernardino_n where_fw-mi santerno_fw-la be_v turn_v those_o of_o buon_n '_o acquisto_fw-la and_o those_o of_o marmorto_n where_o the_o idice_n quaderna_n sellero_n fall_v in_o from_o swallow_v and_o take_v in_o their_o water_n by_o their_o usual_a in-lets_a yet_o many_o time_n as_o i_o myself_o have_v see_v in_o the_o visitation_n they_o drink_v they_o up_o plentiful_o whereupon_o be_v conjoin_v with_o the_o muddinesse_n of_o those_o river_n that_o fall_v into_o the_o same_o they_o swell_v and_o dilate_v and_o overflow_v some_o ground_n and_o deprive_v other_o of_o their_o drain_v in_o like_a manner_n
the_o earth_n need_v no_o more_o but_o motion_n and_o light_n celestial_a body_n want_v a_o interchangeable_a operation_n upon_o each_o other_o alterability_n etc._n etc._n be_v not_o in_o the_o whole_a terrestrial_a globe_n but_o in_o some_o of_o its_o part_n celestial_a body_n alterable_a in_o their_o outward_a part_n the_o generation_n &_o mutation_n happen_v in_o the_o earth_n be_v all_o for_o the_o good_a of_o man._n the_o moon_n have_v no_o generating_n of_o thing_n like_a as_o we_o have_v nor_o be_v it_o inhabit_v by_o man_n in_o the_o moon_n may_v be_v a_o generation_n of_o thing_n different_a from_o we_o he_o that_o have_v not_o hear_v of_o the_o element_n of_o water_n can_v never_o fancy_v to_o himself_o ship_n and_o fish_n there_o may_v be_v substance_n in_o the_o moon_n very_o different_a from_o we_o the_o first_o resemblance_n between_o the_o moon_n and_o earth_n which_o be_v that_o of_o figure_n be_v prove_v by_o the_o manner_n of_o be_v illuminate_v by_o the_o sun_n the_o second_o conformity_n be_v the_o moon_n be_v opacous_a as_o the_o earth_n 〈…〉_z moon_n be_v 〈◊〉_d and_o 〈…〉_z as_o the_o earth_n four_o the_o moon_n be_v distinguish_v into_o two_o different_a part_n for_o clarity_n and_o obscurity_n as_o the_o terrestrial_a globe_n into_o sea_n and_o land_n the_o surface_n of_o the_o sea_n will_v show_v at_o a_o distance_n more_o obscure_a than_o that_o of_o the_o earth_n five_o mutation_n of_o figure_n in_o the_o earth_n like_v to_o those_o of_o the_o moon_n and_o make_v with_o the_o same_o period_n all_o the_o earth_n see_v half_a only_o of_o the_o moon_n &_o the_o half_a only_o of_o the_o moon_n see_v all_o the_o earth_n from_o the_o earth_n we_o see_v more_o than_o half_a the_o lunar_a globe_n two_o spot_n in_o the_o moon_n by_o which_o it_o be_v perceive_v that_o she_o have_v respect_n to_o the_o centre_n of_o the_o earth_n in_o her_o motion_n six_o the_o earth_n and_o moon_n interchangeable_o do_v illuminate_v light_o reflect_v from_o the_o earth_n into_o the_o moon_n seven_o the_o earth_n and_o moon_n do_v mutual_o eclipse_v the_o second_o clarity_n of_o the_o moon_n esteem_v to_o be_v its_o native_a light_n the_o earth_n unable_a to_o reflect_v the_o sun_n ray_n the_o substance_n of_o the_o heaven_n impenetrable_a according_a to_o aristotle_n the_o substance_n of_o heaven_n intangible_a the_o superficies_n of_o the_o moon_n more_o sleek_a than_o any_o looking-glass_n the_o eminency_n and_o cavity_n in_o the_o moon_n be_v illusion_n of_o its_o opacous_a and_o perspicuous_a part_n part_n il_fw-fr saggiatore_n &_o lettere_n solari_n two_o treatise_n of_o galilaeus_fw-la it_o be_v prove_v at_o large_a that_o the_o moon_n surface_n be_v sharp_a flat_a looking-glass_n cast_v forth_o the_o reflection_n towards_o but_o one_o place_n but_o the_o spherical_a every_o way_n the_o sphere_n of_o activity_n great_a in_o the_o celestial_a body_n than_o in_o elementary_a the_o moon_n if_o it_o be_v smooth_a like_o a_o spherical_a glass_n will_v be_v invisible_a the_o small_a body_n of_o the_o star_n fringe_v round_o about_o with_o ray_n appear_v very_o much_o big_a than_o plain_a and_o naked_a and_o in_o its_o native_a clarity_n the_o reflex_n light_n of_o uneven_a body_n be_v more_o universal_a than_o that_o of_o the_o smooth_a &_o why_o the_o moon_n if_o it_o be_v smooth_a and_o sleâ—k_v will_v be_v invisible_a some_o write_v what_o they_o understand_v not_o and_o therefore_o understand_v not_o what_o they_o write_v diamond_n ground_n to_o divers_a side_n &_o why_o silver_n 〈◊〉_d wish_a appear_v maâ—e_n obscure_a 〈◊〉_d the_o not_o burnish_a &_o why_o burnish_a steel_n 〈◊〉_d from_o one_o 〈…〉_z very_o 〈…〉_z from_o 〈◊〉_d very_o obscure_a the_o more_o rough_a superficies_n make_v great_a reflection_n of_o light_n than_o the_o less_o rough_a perpendicular_a ray_n illuminate_v more_o than_o the_o oblique_a and_o why_o the_o more_o oblique_a ray_n illuminate_v less_o and_o why_o perfect_a 〈◊〉_d why_o ascribe_v be_v 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