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book_n author_n know_v write_v 2,987 5 5.2886 4 true
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ID Title Author Corrected Date of Publication (TCP Date of Publication) STC Words Pages
A61244 Mathematical collections and translations ... by Thomas Salusbury, Esq. Salusbury, Thomas. 1661 (1661) Wing S517; ESTC R19153 646,791 680

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inquisitor_n philosopher_n he_o write_v back_o unto_o his_o friend_n that_o he_o will_v notwithstanding_o with_o all_o expedition_n procure_v the_o same_o for_o that_o if_o no_o other_o obstacle_n shall_v interpose_v he_o will_v not_o much_o scruple_n to_o change_v the_o doctrine_n of_o aristotle_n and_o with_o other_o exposition_n and_o other_o text_n to_o maintain_v the_o contrary_a opinion_n which_o yet_o shall_v be_v also_o agreeable_a to_o the_o sense_n of_o aristotle_n sagr._fw-la oh_o most_o profound_a doctor_n this_o that_o can_v command_v i_o that_o i_o stir_v not_o a_o step_n from_o aristotle_n but_o will_v himself_o lead_v he_o by_o the_o nose_n and_o make_v he_o speak_v as_o he_o please_v see_v how_o much_o it_o import_v to_o learn_v to_o take_v time_n by_o the_o foretop_n nor_o be_v it_o seasonable_a to_o have_v to_o do_v with_o hercules_n while_o he_o be_v enrage_v and_o
seem_v very_o reasonable_a that_o substance_n that_o under_o small_a bulk_n contain_v much_o matter_n shall_v have_v narrow_a place_n assign_v they_o leave_v the_o more_o spacious_a to_o the_o more_o ra●ified_v and_o there_o be_v dead_a of_o hunger_n and_o resolve_v into_o earth_n will_v form_v a_o new_a little_a globe_n with_o that_o little_a water_n which_o at_o that_o time_n be_v among_o the_o cloud_n it_o may_v be_v also_o that_o those_o matter_n as_o not_o behold_v the_o light_n will_v not_o perceive_v the_o earth_n departure_n but_o like_o blind_a thing_n will_v descend_v according_a to_o their_o usual_a custom_n to_o the_o centre_n whither_o they_o will_v now_o go_v if_o that_o globe_n do_v not_o hinder_v they_o and_o last_o that_o i_o may_v give_v this_o philosopher_n a_o less_o irresolute_a answer_n i_o do_v tell_v he_o that_o i_o know_v as_o much_o of_o what_o will_v follow_v upon_o the_o annihilation_n of_o the_o terrestrial_a globe_n as_o he_o will_v have_v do_v that_o be_v 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press_v and_o violent_o rest_v itself_o only_o upon_o that_o air_n in_o case_n its_o hardness_n can_v not_o be_v overcome_v and_o break_v by_o its_o gravity_n but_o loose_a stone_n i_o believe_v will_v descend_v to_o the_o centre_n and_o not_o swim_v above_o in_o the_o air_n nor_o may_v it_o be_v say_v that_o they_o move_v not_o to_o their_o whole_a though_o they_o move_v whither_o all_o the_o part_n of_o the_o whole_a will_v transfer_v themselves_o if_o all_o impediment_n be_v remove_v simp_n that_o which_o remain_v be_v a_o certain_a error_n which_o he_o observe_v in_o a_o disciple_n of_o copernicus_n who_o make_v the_o earth_n to_o move_v with_o a_o annual_a motion_n and_o a_o diurnal_a in_o the_o same_o manner_n as_o the_o cartwheel_n move_v upon_o the_o circle_n of_o the_o earth_n and_o in_o itself_o do_v constitute_v the_o terrestrial_a globe_n too_o great_a or_o the_o great_a orb_n too_o little_a for_o that_o 365_o revolution_n of_o the_o aequinoctial_a be_v less_o by_o far_o 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this_o tractate_n do_v not_o name_v he_o but_o the_o error_n of_o this_o book_n be_v certain_a and_o unpardonable_a whether_o that_o follower_n of_o copernicus_n err_v or_o not_o err_v for_o that_o your_o author_n pass_v by_o so_o material_a a_o error_n without_o either_o detect_n or_o correct_v it_o but_o let_v he_o be_v forgive_v this_o fault_n as_o a_o error_n rather_o of_o inadvertencie_n than_o of_o any_o thing_n else_o farthermore_o be_v it_o not_o that_o i_o be_o already_o weary_v and_o tire_v with_o talk_v and_o spend_v so_o much_o time_n with_o very_o little_a profit_n in_o these_o frivolous_a jangle_n and_o altercation_n i_o can_v show_v that_o it_o be_v not_o impossible_a for_o a_o circle_n though_o no_o big_a than_o a_o cartwheel_n whatsoever_o with_o make_v not_o 365_o but_o less_o than_o 20_o revolution_n to_o describe_v and_o measure_v the_o circumference_n not_o only_o of_o the_o grand_a orb_n but_o of_o one_o a_o thousand_o time_n great_a and_o this_o i_o s●y_v to_o 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may_v charge_v kepler_n with_o gross_a ignorance_n but_o the_o imposture_n be_v so_o very_o dull_a and_o obvion_n that_o he_o can_v not_o with_o all_o his_o craft_n alter_v the_o opinion_n which_o kepler_n have_v beget_v of_o his_o doctrine_n in_o the_o mind_n of_o all_o the_o learned_a as_o in_o the_o next_o place_n to_o the_o instance_n against_o the_o perpetual_a motion_n of_o the_o earth_n take_v from_o the_o impossibility_n of_o its_o move_a long_o without_o weariness_n in_o regard_n that_o live_a creature_n themselves_o which_o yet_o move_v natural_o and_o from_o a_o intern_a principle_n do_v grow_v weary_a and_o have_v need_n of_o rest_n to_o relax_v and_o refresh_v their_o member_n sagr._fw-la methinks_v i_o hear_v kepler_n answer_v he_o to_o that_o that_o there_o be_v some_o kind_n of_o animal_n which_o refresh_v themselves_o after_o weariness_n by_o roll_a on_o the_o earth_n and_o that_o therefore_o there_o be_v no_o need_n to_o fear_v that_o the_o terrestrial_a globe_n 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the_o orb_n be_v the_o cause_n of_o the_o tardity_n in_o their_o conversion_n 331_o astronomer_n perhaps_o have_v not_o know_v what_o appearance_n ought_v to_o follow_v upon_o the_o annual_a motion_n of_o the_o earth_n 338_o astronomer_n have_v omit_v to_o instance_n what_o alteration_n those_o be_v that_o may_v be_v derive_v from_o the_o annual_a motion_n of_o the_o earth_n do_v thereby_o testify_v that_o they_o never_o right_o understand_v the_o same_o 343_o astronomical_a astronomical_a observation_n wrest_v by_o anti-tycho_n to_o his_o own_o purpose_n 39_o astronomical_a instrument_n be_v very_a subject_n to_o error_n 262_o astronomy_n astronomy_n restore_v by_o copernicus_n upon_o the_o supposition_n of_o ptolemy_n 308_o many_o thing_n may_v remain_v as_o yet_o unobserved_a in_o astronomy_n 415_o aucupatorian_n a_o aucupatorian_a problem_n for_o shoot_v of_o bird_n fly_v 157_o axiom_n or_o axiom_n in_o the_o axiom_n frustra_fw-la fit_a per_fw-la plura_fw-la etc._n etc._n the_o 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the_o separate_a part_n will_v follow_v that_o mass_n 221_o pensile_a body_n every_o pensile_a body_n carry_v round_o in_o the_o circumference_n of_o a_o circle_n acquire_v of_o itself_o a_o motion_n in_o itself_o contrary_a to_o the_o same_o 362_o celestial_a body_n neither_o heavy_a nor_o light_a according_a to_o aristotle_n 23_o celestial_a body_n be_v generable_a and_o corruptible_a because_o they_o be_v ingenerable_a and_o incorruptible_a 29_o among_o celest._n body_n there_o be_v no_o contrariety_n 29_o celestial_a body_n touch_v but_o be_v not_o touch_v by_o the_o element_n 30_o rarity_n and_o density_n in_o celestial_a body_n different_a from_o rarity_n and_o density_n in_o the_o element_n 30_o celestial_a body_n design_v to_o serve_v the_o earth_n need_v no_o more_o but_o motion_n and_o light_n 45_o celestial_a body_n want_v a_o interchangeable_a operation_n on_o each_o other_o 46_o celestial_a body_n alterable_a in_o their_o extern_a part_n 46_o perfect_a sphericity_n why_o 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why_o 232_o buonarruotti_n buonarruotti_n a_o statuary_n of_o admirable_a ingenuity_n 86_o c_o canon_n a_o shameful_a error_n in_o the_o argument_n take_v from_o the_o canon-bullet_n fall_v from_o the_o moon_n concave_a 197_o a_o exact_a computation_n of_o the_o fall_n of_o the_o canon-bullet_n from_o the_o moon_n concave_a to_o the_o centre_n of_o the_o earth_n 198_o celestial_a celestial_a substance_n that_o be_v unalterable_a and_o elementary_a that_o be_v alterable_a necessary_a in_o the_o opinion_n of_o aristotle_n 2_o centre_n the_o sun_n more_o probable_o in_o the_o centre_n of_o the_o universe_n than_o the_o earth_n 22_o natural_a inclination_n of_o all_o the_o globe_n of_o the_o world_n to_o go_v to_o their_o centre_n 22_o grave_a body_n may_v more_o rational_o be_v affirm_v to_o tend_v towards_o the_o centre_n of_o the_o earth_n than_o of_o the_o universe_n 25_o chemist_n chemist_n interpret_v the_o fable_n of_o poet_n to_o be_v secret_n for_o make_v of_o gold_n 93_o circle_n and_o circular_a it_o be_v not_o impossible_a with_o the_o circumference_n of_o a_o small_a circle_n few_o time_n revolve_v to_o measure_v and_o describe_v a_o line_n big_a than_o any_o great_a circle_n whatsoever_o 222_o the_o circular_a line_n perfect_a according_a to_o aristotle_n and_o the_o right_n imperfect_a and_o why_o 9_o claramontius_n the_o paralogism_n of_o claramontius_n 241_o the_o argument_n of_o claramontius_n recoil_v upon_o himself_o 245_o the_o method_n observe_v by_o claramontius_n in_o consuting_a astronomer_n and_o by_o salviatus_n in_o refute_v he_o 253_o cloud_n cloud_n no_o less_o apt_a than_o the_o moon_n to_o be_v illuminate_v by_o the_o sun_n 73_o conclusion_n and_o conclusion_n the_o certainty_n of_o the_o conclusion_n help_v by_o a_o resolutive_a method_n to_o find_v the_o demonstration_n 37_o the_o book_n of_o conclusio●s_n frequent_o mention_v be_v write_v by_o christopher_n scheiner_n a_o jesuit_n 195_o &_o 323._o contrary_n contrary_n that_o corrupt_v reside_v not_o in_o the_o same_o body_n that_o corrupt_v 30_o copernican_n answer_n to_o the_o three_o first_o objection_n against_o the_o copernican_n system_fw-la 303_o the_o copernican_n system_fw-la difficul_fw-la to_o be_v understand_v but_o easy_a to_o be_v effect_v 354_o a_o plain_a scheme_n represent_v the_o copernican_n systeme_n and_o its_o consequence_n 354_o the_o proscribe_v of_o the_o copernican_n doctrine_n after_o so_o long_a a_o toleration_n and_o now_o that_o it_o be_v more_o than_o ever_o follow_v study_v and_o confirm_v will_v be_v a_o affront_n to_o truth_n 444_o the_o copern_n system_fw-la admirable_o agree_v with_o the_o miracle_n of_o joshuah_n in_o the_o literal_a sense_n 456_o if_o divine_v will_v admit_v of_o the_o copernican_n system_n they_o may_v soon_o find_v out_o exposition_n for_o all_o scripture_n that_o seem_v to_o make_v against_o it_o 459_o the_o copernican_n system_v reject_v by_o many_o out_o of_o a_o devout_a respect_n to_o scripture_n authority_n 461_o the_o copernican_n system_v more_o plain_o assert_v in_o scripture_n than_o the_o ptolomaick_a 469_o copernican_n copernican_n be_v
not_o move_v through_o ignorance_n of_o the_o argument_n on_o the_o adverse_a part_n 110_o copernican_n be_v all_o first_o against_o that_o opinion_n but_o the_o peripatetic_n be_v never_o on_o the_o other_o side_n 110_o copernican_n too_o free_o admit_v certain_a proposition_n for_o true_a which_o be_v doubtful_a 159_o he_o that_o will_v be_v a_o copernican_n must_v deny_v his_o sense_n 228_o a_o great_a mathematician_n make_v a_o copernican_n by_o look_v into_o that_o doctrine_n with_o a_o purpose_n to_o confute_v it_o 443_o copernicus_n copernicus_n esteem_v the_o earth_n a_o globe_n like_v to_o a_o planet_n 1_o objection_n of_o two_o modern_a author_n scheiner_n and_o claramontius_n against_o copernicus_n 195_o copernicus_n his_o opinion_n overthrow_v the_o criterium_fw-la of_o philosopher_n 223_o a_o gross_a error_n in_o the_o opposer_n of_o copernicus_n and_o wherein_o it_o appear_v 234_o 235_o &_o 236_o a_o subtle_a and_o withal_o simple_a argument_n against_o copernicus_n 234_o copernicus_n his_o opponent_n have_v but_o little_o study_v he_o as_o appear_v by_o another_o gross_a error_n 235_o it_o be_v question_v whither_o he_o understand_v the_o three_o motion_n assign_v to_o the_o earth_n by_o copern_n 236_o copernicus_n erroneous_o assign_v the_o same_o operation_n to_o different_a nature_n 238_o a_o declaration_n of_o the_o improbability_n of_o copernicus_n his_o opinion_n 301_o reason_n and_o discourse_n in_o copernicus_n and_o aristarchus_n prevail_v over_o sense_n 301_o copernicus_n speak_v nothing_o of_o the_o small_a variation_n of_o bigness_n in_o venus_n and_o mars_n 302_o copernicus_n persuade_v by_o reason_n contrary_a to_o sensible_a experiment_n 306_o copernicus_n restore_v astronomy_n upon_o the_o supposition_n of_o ptolemy_n 308_o what_o move_v copernicus_n to_o establish_v his_o systeme_n 308_o it_o be_v a_o great_a argument_n in_o favour_n of_o copernicus_n that_o he_o obviate_v the_o station_n and_o retrogradation_n of_o the_o motion_n of_o the_o planet_n 309_o instance_n ironical_o propound_v by_o scheiner_n against_o copernicus_n 323_o copernicus_n understand_v not_o some_o thing_n for_o want_n of_o instrument_n 338_o the_o grand_a difficulty_n in_o copernicus_n his_o doctrine_n be_v that_o which_o concern_v the_o phaenomena_n of_o the_o sun_n and_o fix_a star_n 343_o copernicus_n the_o restorer_n of_o the_o pythagorean_n hypothesis_n and_o the_o occasion_n of_o it_o 429_o copernicus_n found_v not_o his_o doctrine_n on_o reason_n depend_v on_o scripture_n wherein_o he_o may_v have_v mistake_v their_o sense_n but_o upon_o natural_a conclusion_n and_o astronomical_a and_o geometrical_a demonstration_n 431_o corruptible_a and_o corruptibility_n the_o perfection_n of_o figure_n operate_v in_o corruptible_a body_n but_o not_o in_o eternal_a 69_o the_o disparager_n of_o corruptibility_n ought_v to_o be_v turn_v into_o statua_n 37_o corruptibility_n admit_v of_o more_o and_o less_o so_o do_v not_o incorruptibility_n 69_o council_n the_o council_n refuse_v to_o impose_v natural_a conclusion_n as_o matter_n of_o faith_n 450_o d_o diamond_n diamond_n ground_n to_o divers_a side_n and_o why_o 63_o didacus_n didacus_n à_fw-la stunica_fw-la reconcile_v text_n of_o scripture_n with_o the_o copernican_n hypothesis_n 468_o definition_n definition_n contain_v virtual_o all_o the_o passion_n of_o the_o thing_n define_v 87_o e_o earth_n the_o earth_n spherical_a by_o the_o conspiration_n of_o its_o part_n to_o go_v to_o its_o centre_n 21_o it_o be_v easy_a to_o prove_v the_o earth_n to_o move_v than_o that_o corruptibility_n be_v make_v by_o contrary_n 27_o the_o earth_n very_o noble_a by_o reason_n of_o the_o mutation_n make_v therein_o 45_o the_o earth_n unprofitable_a and_o full_a of_o idleness_n its_o alteration_n be_v take_v away_o 45_o the_o earth_n more_o noble_a than_o gold_n and_o jewel_n 45_o the_o celestial_a body_n design_v to_o serve_v the_o earth_n need_v no_o more_o but_o motion_n and_o light_n 45_o the_o generation_n and_o mutation_n that_o be_v in_o the_o earth_n be_v all_o for_o the_o good_a of_o man._n 47_o from_o the_o earth_n we_o see_v more_o than_o half_a the_o lunar_a globe_n 51_o seven_o resemblance_n between_o the_o earth_n and_o moon_n 48_o to_o 53_o the_o earth_n unable_a to_o reflect_v the_o sun_n ray_n 54_o the_o earth_n may_v reciprocal_o operate_v on_o celestial_a body_n with_o its_o light_n 80_o affinity_n between_o the_o earth_n and_o moon_n by_o reason_n of_o their_o vicinity_n 81_o the_o motion_n of_o the_o earth_n imperceptible_a to_o its_o inhabitant_n 97_o the_o earth_n can_v have_v no_o other_o motion_n than_o those_o which_o to_o we_o appear_v common_a to_o all_o the_o rest_n of_o the_o universe_n the_o earth_n except_v 97_o the_o diurnal_a motion_n seem_v common_a to_o all_o the_o universe_n the_o earth_n only_o except_v 97_o aristotle_n and_o ptolemy_n argue_v against_o the_o earth_n diurnal_a motion_n 97_o the_o diurnal_a motion_n of_o the_o earth_n vide_fw-la diurnal_a motion_n seven_o argument_n to_o prove_v the_o diurnal_a motion_n on_o to_o belong_v to_o the_o earth_n 99_o to_o 103_o the_o earth_n a_o pendent_a body_n and_o equilibrate_v in_o a_o fluid_fw-la medium_fw-la seem_v unable_a to_o resist_v the_o rapture_n of_o the_o diurnal_a motion_n 103_o two_o kind_n of_o argument_n against_o the_o earth_n motion_n 108_o argument_n of_o aristotle_n ptolemy_n tycho_n and_o other_o person_n against_o the_o earth_n motion_n 107_o &_o 108_o the_o first_o argument_n against_o the_o earth_n motion_n take_v from_o grave_a body_n fall_v from_o on_o high_a to_o the_o ground_n 108_o which_o argument_n be_v confirm_v by_o the_o experiment_n of_o a_o body_n let_v fall_v from_o the_o round-top_n of_o a_o ship_n mast._n 108_o the_o second_o argument_n take_v from_o a_o project_n shoot_v very_o high_a 108_o the_o three_o argument_n take_v from_o the_o shot_n of_o a_o canon_n towards_o the_o east_n and_o towards_o the_o west_n 108_o this_o argument_n be_v confirm_v by_o two_o shot_n towards_o the_o north_n and_o south_n and_o two_o other_o towards_o the_o 〈…〉_z west_n 109_o the_o four_o argument_n take_v from_o the_o cloud_n and_o from_o bird_n 113_o a_o five_o argument_n take_v from_o the_o air_n which_o we_o feel_v beat_v upon_o we_o when_o we_o run_v a_o horse_n at_o full_a speed_n 114_o a_o six_o argument_n take_v from_o the_o whirl_n of_o circular_a body_n which_o have_v a_o faculty_n to_o extrude_v and_o dissipate_v 114_o the_o answer_n to_o aristotle_n first_o argument_n 115_o the_o answer_n to_o the_o second_o argument_n 117_o the_o answer_n to_o the_o three_o argument_n 120_o to_o 150_o a_o instance_n of_o the_o diurnal_a motion_n of_o the_o earth_n take_v from_o the_o shot_n of_o a_o piece_n of_o ordinance_n perpendicular_o and_o the_o answer_n to_o the_o same_o show_v the_o equivoke_v 153_o 154_o the_o answer_n to_o the_o argument_n of_o the_o shot_n of_o canon_n make_v towards_o the_o north_n and_o south_n 158_o the_o answer_n to_o the_o argument_n take_v from_o the_o shot_n at_o point_n blank_a towards_o the_o east_n and_o west_n 159_o the_o answer_n to_o the_o argument_n of_o the_o fly_n of_o bird_n contrary_a to_o the_o motion_n of_o the_o earth_n 165_o a_o experiment_n by_o which_o alone_o be_v show_v the_o nullity_n of_o all_o the_o argument_n produce_v against_o the_o motion_n of_o the_o earth_n 165_o the_o stupidity_n of_o some_o that_o think_v the_o earth_n begin_v to_o move_v when_o pythagoras_n begin_v to_o affirm_v that_o it_o do_v so_o 167_o a_o geometrical_a demonstration_n to_o prove_v the_o impossibility_n of_o extrusion_n by_o mean_n of_o the_o earth_n vertigo_n in_o answer_n to_o the_o six_o argument_n 176_o grant_v the_o diurnal_a vertigo_n of_o the_o earth_n and_o that_o by_o some_o sudden_a stop_n or_o obstacle_n it_o be_v arrest_v house_n mountain_n themselves_o and_o perhaps_o the_o whole_a globe_n will_v be_v shake_v in_o piece_n 190_o other_o argument_n of_o two_o modern_a author_n scheiner_n and._n claramontius_n against_o the_o copernican_n hypothesis_n of_o the_o earth_n motion_n 195_o the_o first_o objection_n of_o the_o modern_a author_n scheiner_n in_o his_o book_n of_o conclusion_n 195_o the_o argument_n of_o claramontius_n against_o the_o earth_n motion_n take_v from_o thing_n fall_v perpendicular_o another_o way_n answer_v 223_o the_o earth_n motion_n collect_v from_o the_o star_n 229_o argumeut_n against_o the_o earth_n motion_n take_v ex_fw-la rerum_fw-la natura_fw-la 230_o a_o simple_a body_n as_o the_o earth_n can_v move_v with_o three_o several_a motion_n 231_o the_o earth_n can_v move_v with_o any_o of_o the_o motion_n assign_v it_o by_o copernicus_n 231_o answer_n to_o the_o argument_n against_o the_o earth_n motion_n token_n ex_fw-la rerum_fw-la natura_fw-la 231_o four_o axiom_n against_o the_o motion_n of_o the_o earth_n 230_o to_o 232_o one_o only_a principle_n may_v cause_v a_o plurality_n of_o motion_n in_o the_o earth_n 233_o the_o same_o argument_n against_o the_o plurality_n of_o motion_n in_o the_o
while_n to_o another_o and_o that_o there_o be_v a_o great_a difference_n between_o command_v a_o methametitian_n or_o a_o philosopher_n and_o the_o dispose_n of_o a_o lawyer_n or_o a_o merchant_n and_o that_o the_o demonstrate_v conclusion_n touch_v the_o thing_n of_o nature_n and_o of_o the_o heaven_n can_v be_v change_v with_o the_o same_o facility_n as_o the_o opinion_n be_v touch_v what_o be_v lawful_a or_o not_o in_o a_o contract_n bargain_n or_o bill_n of_o exchange_n this_o difference_n be_v well_o understand_v by_o the_o learned_a and_o holy_a father_n as_o their_o have_v be_v at_o great_a pain_n to_o confute_v many_o argument_n or_o to_o say_v better_o many_o philosophical_a fallacy_n do_v prove_v unto_o we_o and_o as_o may_v express_o be_v read_v in_o some_o of_o they_o and_o particular_o we_o have_v in_o s._n augustine_n the_o follow_a word_n terreamur_fw-la this_o be_v to_o be_v hold_v for_o a_o undoubted_a truth_n that_o we_o may_v be_v confident_a that_o whatever_o the_o 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revolve_v axis_n in_o itself_o so_o that_o in_o the_o same_o manner_n that_o the_o motion_n of_o the_o heart_n of_o a_o animal_n cease_v all_o the_o other_o motion_n of_o its_o member_n will_v cease_v so_o the_o conversion_n of_o the_o sun_n cease_v 〈◊〉_d conversion_n of_o all_o the_o planet_n will_v stand_v still_o and_o though_o i_o can_v produce_v the_o testimony_n of_o many_o grave_a writer_n to_o prove_v the_o admirable_a power_n and_o influence_n of_o the_o sun_n i_o will_v content_v myself_o with_o one_o sole_a place_n of_o holy_a dionysius_n areopagita_n in_o his_o book_n de_fw-fr divinis_fw-la nominibus_fw-la who_o thus_o write_v of_o the_o sun_n dispersa_fw-la his_o light_n gather_v and_o convert_v all_o thing_n to_o himself_o which_o be_v see_v move_v illustrate_v wax_v hot_a and_o in_o a_o word_n those_o thing_n which_o be_v preserve_v by_o his_o splendour_n wherefore_o the_o sun_n be_v call_v 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d for_o that_o he_o collect_v and_o gather_v together_o all_o thing_n disperse_v and_o a_o little_a after_o of_o the_o sun_n again_o he_o add_v etc._n if_o this_o sun_n which_o we_o see_v as_o touch_v the_o essence_n and_o quality_n of_o those_o thing_n which_o fall_v within_o our_o sense_n be_v very_o many_o and_o different_a yet_o if_o he_o who_o be_v one_o and_o equal_o bestow_v his_o light_n do_v renew_v nourish_v defend_v perfect_a divide_v conjoin_v cherish_v make_v fruitful_a increase_n change_n fix_v produce_v move_v and_o fashion_v all_o live_a creature_n and_o every_o thing_n in_o this_o universe_n at_o this_o pleasure_n be_v partaker_n of_o one_o and_o the_o same_o sun_n and_o the_o cause_n of_o many_o thing_n which_o participate_v of_o he_o be_v equal_o auticipate_v in_o he_o certain_o by_o great_a reason_n etc._n etc._n the_o sun_n therefore_o be_v the_o fountain_n of_o light_n and_o principle_n of_o motion_n god_n intend_v that_o at_o the_o command_n of_o joshua_n all_o the_o world_n be_v systeme_n shall_v continue_v many_o hour_n in_o the_o same_o state_n it_o suffice_v to_o make_v the_o sun_n stand_v still_o upon_o who_o stay_n all_o the_o other_o conversion_n cease_v the_o earth_n the_o moon_n the_o sun_n do_v abide_v in_o the_o same_o constitution_n as_o before_o as_o likewise_o all_o the_o other_o planet_n nor_o in_o all_o that_o time_n do_v the_o day_n decline_v towards_o night_n but_o it_o be_v miraculous_o prolong_v and_o in_o this_o manner_n upon_o the_o stand_n still_o of_o the_o sun_n without_o alter_v or_o in_o the_o least_o disturb_v the_o other_o aspect_n and_o mutual_a position_n of_o the_o star_n the_o day_n may_v be_v lengthen_v on_o earth_n which_o exact_o agree_v with_o the_o litteral_n sense_n of_o the_o sacred_a text._n but_o that_o of_o which_o if_o i_o be_v not_o mistake_v we_o be_v to_o make_v no_o small_a account_n be_v that_o by_o help_n of_o this_o copernican_n hypothesis_n we_o have_v the_o litteral_n apart_a and_o natural_a sense_n of_o another_o particular_a that_o we_o read_v of_o in_o the_o same_o miracle_n which_o be_v that_o the_o sun_n stand_v still_o in_o medio_fw-la caeli_fw-la upon_o which_o passage_n grave_n divine_v raise_v many_o question_n in_o regard_n it_o seem_v very_o probable_a that_o when_o joshuah_n desire_v the_o lengthen_v of_o the_o day_n the_o sun_n be_v near_o set_v and_o not_o in_o the_o meridian_n for_o if_o it_o have_v be_v in_o the_o meridian_n it_o be_v then_o about_o the_o summer_n solstice_n and_o consequent_o the_o day_n be_v at_o the_o long_a it_o do_v not_o seem_v likely_a that_o it_o be_v necessary_a to_o pray_v for_o the_o lengthen_v of_o the_o day_n to_o prosecute_v victory_n in_o a_o battle_n the_o space_n of_o seven_o hour_n and_o more_o which_o remain_v to_o night_n be_v sufficient_a for_o that_o purpose_n upon_o which_o grave_a divine_n have_v be_v induce_v to_o think_v that_o the_o sun_n be_v near_o set_v and_o so_o the_o word_n themselves_o seem_v to_o sound_v say_v ne_o movearis_fw-la sol_fw-la ne_fw-la movearis_fw-la for_o if_o it_o have_v be_v in_o the_o meridian_n either_o it_o have_v be_v needless_a to_o have_v ask_v a_o mircale_n or_o it_o will_v have_v be_v sufficient_a to_o have_v only_o pray_v for_o some_o retardment_n of_o this_o opinion_n be_v cajetan_a to_o which_o subscribe_v magaglianes_n confirm_v it_o by_o say_v that_o joshua_n have_v that_o very_a day_n do_v so_o many_o other_o thing_n before_o his_o command_v the_o sun_n as_o be_v not_o possible_o to_o be_v dispatch_v in_o half_a a_o day_n whereupon_o they_o be_v force_v to_o read_v the_o word_n in_o medio_fw-la coeli_fw-la to_o confess_v the_o truth_n with_o a_o little_a harshness_n say_v that_o they_o import_v no_o more_o than_o this_o that_o the_o sun_n stand_v still_o be_v in_o our_o hemisphere_n loco_fw-la that_o be_v above_o the_o horizon_n but_o if_o i_o do_v not_o err_v we_o shall_v avoid_v that_o and_o all_o other_o harsh_a exposition_n if_o according_a to_o the_o copernican_n systeme_n we_o place_v the_o sun_n in_o the_o midst_n that_o be_v in_o the_o centre_n of_o the_o celestial_a orb_n and_o of_o the_o planetary_a conversion_n as_o it_o be_v most_o requisite_a to_o do_v for_o suppose_v any_o hour_n of_o the_o day_n either_o noon_n or_o any_o other_o as_o you_o shall_v please_v near_o to_o the_o evening_n the_o day_n be_v lengthen_v and_o all_o the_o celestial_a revolution_n stay_v by_o the_o sun_n stand_v still_o in_o the_o midst_n that_o be_v in_o the_o centre_n of_o heaven_n where_o it_o reside_v a_o sense_n so_o much_o the_o more_o accommodate_v to_o the_o letter_n beside_o what_o have_v be_v say_v already_o in_o that_o if_o the_o text_n have_v desire_v to_o have_v affirm_v the_o sun_n rest_v to_o have_v be_v cause_v at_o noonday_n the_o proper_a expression_n of_o it_o have_v be_v to_o say_v it_o stand_v still_o at_o noonday_n or_o in_o the_o meridian_n circle_n and_o not_o in_o the_o midst_n of_o heaven_n in_o regard_n that_o the_o true_a and_o only_o middle_a of_o a_o spherical_a body_n as_o be_v heaven_n be_v the_o centre_n again_o as_o to_o other_o place_n of_o scripture_n which_o seem_v contrary_a to_o this_o position_n i_o do_v not_o doubt_v but_o that_o if_o it_o be_v acknowledge_v for_o true_a and_o demonstrate_v those_o very_a divine_n who_o so_o long_o as_o they_o repute_v it_o false_a hold_v those_o place_n incapable_a of_o exposition_n that_o agree_v with_o it_o will_v find_v such_o interpretation_n for_o they_o as_o shall_v very_o well_o suit_n therewith_o and_o especial_o if_o to_o the_o knowledge_n of_o divine_a learning_n they_o will_v but_o add_v some_o knowledge_n of_o the_o astronomical_a science_n and_o as_o at_o present_a whilst_o they_o deem_v it_o false_a they_o think_v they_o meet_v in_o scripture_n only_o with_o such_o place_n as_o make_v against_o it_o if_o they_o shall_v but_o once_o have_v entertain_v
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 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 ●_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 so●_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 bre●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 motion_n be_v in_o natural_a thing_n be_v so_o manifest_a that_o the_o prince_n of_o peripatetic_n pronounce_v that_o in_o his_o school_n now_o much_o use_v sentence_n ignorato_fw-la motu_fw-la ignoratur_fw-la natura_fw-la thence_o it_o be_v that_o true_a philosopher_n have_v so_o travail_v in_o the_o contemplation_n of_o the_o celestial_a motion_n and_o in_o the_o speculation_n of_o the_o motion_n of_o animal_n that_o they_o have_v arrive_v to_o a_o wonderful_a height_n and_o sublimity_n of_o understanding_n under_o the_o same_o science_n of_o motion_n be_v comprehend_v all_o that_o which_o be_v write_v by_o mechanitian_n concern_v engine_n move_v of_o themselves_o machines_n move_a by_o the_o force_n of_o air_n and_o those_o which_o serve_v to_o move_v weight_n and_o immense_a magnitude_n with_o small_a force_n there_o appertain_v to_o the_o science_n of_o motion_n all_o that_o which_o have_v be_v write_v of_o the_o alteration_n not_o only_o of_o body_n but_o of_o our_o mind_n also_o 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 may_v have_v occasion_n to_o discuss_v more_o exact_o than_o hitherto_o have_v be_v do_v so_o necessary_a and_o profitable_a a_o matter_n and_o to_o supply_v also_o my_o defect_n in_o this_o short_a and_o difficult_a tractate_n difficult_a i_o say_v for_o the_o truth_n be_v these_o knowledge_n though_o of_o thing_n next_o our_o sense_n be_v sometime_o more_o abstruse_a and_o hide_a than_o the_o knowledge_n of_o thing_n more_o remote_a and_o much_o better_a and_o with_o great_a exquisitness_n be_v know_v the_o motion_n of_o the_o planet_n and_o period_n of_o the_o star_n than_o those_o of_o river_n and_o sea_n as_o that_o singular_a light_n of_o philosophy_n of_o our_o time_n and_o my_o master_n signore_v galileo_n galilei_n wise_o observe_v in_o his_o book_n concern_v the_o solar_a spot_n and_o to_o proceed_v with_o a_o due_a order_n in_o science_n i_o will_v take_v some_o supposition_n and_o cognition_n sufficient_o clear_a from_o which_o i_o will_v afterward_o proceed_v to_o the_o deduce_v of_o the_o principal_a conclusion_n but_o to_o the_o end_n that_o what_o i_o have_v write_v at_o the_o end_n of_o this_o discourse_n in_o a_o demonstrative_a and_o geometrical_a method_n may_v also_o be_v understand_v of_o those_o which_o never_o have_v apply_v their_o thought_n to_o the_o study_n of_o geometry_n i_o have_v endeavour_v to_o explain_v my_o conceit_n by_o a_o example_n and_o with_o the_o consideration_n of_o the_o natural_a thing_n themselves_o must_v after_o the_o same_o order_n in_o which_o i_o begin_v to_o doubt_v in_o this_o matter_n and_o have_v place_v this_o particular_a treatise_n here_o in_o the_o beginning_n advert_v nevertheless_o that_o
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
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 6●_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
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 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the_o moon_n to_o be_v illuminate_v by_o the_o sun_n a_o wall_n illuminate_v by_o the_o sun_n compare_v to_o the_o moon_n shine_v no_o less_o than_o it_o the_o three_o reflection_n of_o a_o wall_n illuminate_v more_o than_o the_o first_o of_o the_o moon_n the_o light_n of_o the_o moon_n weak_a than_o that_o of_o the_o twilight_n lum_n nous_fw-fr body_n appear_v the_o bright_a in_o a_o obscurer_n ambient_fw-la ambient_fw-la by_o the_o moon_n two_o quadrature_n you_o be_v to_o understand_v its_o first_o and_o last_o quarter_n as_o astrologer_n call_v they_o the_o secondary_a light_n of_o the_o moon_n cause_v by_o the_o sun_n according_a to_o some_o some_o tendono_fw-it le_fw-mi parete_fw-la all_o common_a it_o be_v all_o one_o whether_o opinion_n be_v new_a to_o man_n or_o man_n new_a to_o opinion_n opinion_n contestare_fw-la false_o render_v in_o the_o latin_a translation_n contentare_fw-la the_o secondary_a light_n of_o the_o mo●n_n appear_v in_o form_n of_o a_o ring_n that_o be_v to_o 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fiorentini_n weariness_n more_o to_o be_v fear_v in_o the_o starry_a sphere_n than_o in_o the_o terrestrial_a globe_n some_o in_o argue_v first_o fix_n in_o their_o mind_n the_o conclusion_n believe_v by_o they_o and_o then_o adapt_v their_o reason_n to_o that_o the_o motion_n of_o the_o water_n in_o ebb_v and_o flow_v not_o interrupt_v by_o rest_n rest_n pertiche_a venetiani_n venetiani_n pertiche_a venetiani_n venetiani_n 〈◊〉_d 〈◊〉_d he_o take_v 〈◊〉_d firmament_n 〈◊〉_d the_o s●arry_a sphere_n and_o not_o as_o we_o vulgar_o receive_v the_o word_n the_o method_n observe_v by_o clar._n in_o confute_v the_o astronomer_n and_o by_o salviatus_n in_o confute_v he_o the_o great_a and_o least_o elevation_n of_o the_o new_a star_n differ_v not_o from_o each_o other_o more_o than_o the_o polar_n altitude_n the_o say_a star_n be_v in_o the_o firmnment_n firmnment_n 〈◊〉_d astronomical_a instrument_n be_v very_a subject_n to_o error_n error_n here_o the_o latin_a version_n be_v erroneous_a make_v it_o a_o forty_o part_n of_o etc._n etc._n etc._n traguardi_fw-it in_o have_v not_o be_v hitherto_o prove_v by_o any_o whether_o the_o world_n be_v finite_a or_o infinite_a the_o demonstration_n of_o aristotle_n to_o prove_v that_o the_o universe_n be_v finite_a be_v all_o nullify_v by_o deny_v it_o to_o be_v movable_a aristotle_n make_v that_o point_n to_o be_v the_o centre_n of_o the_o universe_n about_o which_o all_o the_o celestial_a sphere_n do_v revolve_v a_o question_n be_v put_v in_o case_n that_o if_o aristotle_n be_v force_v to_o receive_v one_o of_o two_o proposition_n that_o make_v against_o his_o doctrine_n which_o he_o will_v admit_v it_o be_v more_o rational_a that_o the_o orb_n contain_v and_o the_o part_n contain_v do_v move_v all_o about_o one_o centre_n than_o u●on_o divers_a if_o the_o centre_n of_o the_o world_n be_v the_o 〈…〉_z that_o about_o which_o the_o planet_n move_v the_o sun_n and_o not_o the_o earth_n be_v place_v in_o it_o observation_n from_o whence_o 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big_a than_o the_o whole_a grand_a orb._n tycho_n his_o argument_n ground_v upon_o a_o false_a hypothesis_n
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