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Word A Word B Word C Word D Occurrence Frequency Band MI MI Band Prominent
water_n air_n body_n element_n 5,315 5 9.9100 5 false
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ID Title Author Corrected Date of Publication (TCP Date of Publication) STC Words Pages
A66047 Mathematicall magick, or, The vvonders that may be performed by mechanicall geometry in two books, concerning mechanicall povvers, motions, being one of the most easie, pleasant, usefull (and yet most neglected) part of mathematicks, not before treated of in this language / by I.W. ... Wilkins, John, 1614-1672. 1648 (1648) Wing W2199; ESTC R227427 93,737 280

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invention_n and_o yet_o this_o will_v not_o perhaps_o seem_v so_o very_o difficult_a to_o any_o one_o who_o have_v but_o diligent_o observe_v the_o flight_n of_o some_o other_o bird_n particular_o of_o a_o kite_n how_o he_o will_v swim_v up_o and_o down_o in_o the_o air_n sometime_o at_o a_o great_a height_n and_o present_o again_o lower_v guide_v himself_o by_o his_o train_n with_o his_o wing_n extend_v without_o any_o sensible_a motion_n of_o they_o and_o all_o this_o when_o there_o be_v only_o some_o gentle_a breath_n of_o air_n stir_v without_o the_o help_n of_o any_o strong_a forcible_a wind_n now_o i_o say_v if_o that_o fowl_n which_o be_v none_o of_o the_o light_a can_v so_o very_o easy_o move_v itself_o up_o and_o down_o in_o the_o air_n without_o so_o much_o as_o stir_v the_o wing_n of_o it_o certain_o then_o it_o be_v not_o improbable_a but_o that_o when_o all_o the_o due_a proportion_n in_o such_o a_o engine_n be_v find_v out_o and_o when_o man_n by_o long_a practice_n 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follow_a diagram_n suppose_v a_o equal_a weight_n at_o c_o unto_o that_o at_o b_o which_o point_n be_v both_o equal_o distant_a from_o the_o centre_n a_o it_o be_v evident_a that_o then_o the_o beam_n bf_n will_v hang_v horizontal_o but_o if_o the_o weight_n suppose_v at_o c_o be_v unequal_a to_o that_o at_o b_o or_o if_o there_o be_v a_o equal_a weight_n at_o de_fw-fr or_o any_o of_o the_o other_o unequal_a distance_n the_o beam_n must_v then_o necessary_o decline_v with_o this_o kind_n of_o balance_n it_o be_v usual_a by_o the_o help_n only_o of_o one_o weight_n 1._o to_o measure_v sundry_a different_a gravity_n whether_o more_a or_o less_o then_o that_o by_o which_o they_o be_v measure_v as_o by_o the_o example_n here_o describe_v a_o man_n may_v with_o one_o pound_n alone_o weigh_v any_o other_o body_n within_o ten_o pound_n because_o the_o heaviness_n of_o any_o weight_n do_v increase_v proportionable_o to_o its_o distance_n from_o the_o centre_n thus_o one_o pound_n at_o d_o 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the_o centre_n or_o scabellum_fw-la prop_n at_o the_o point_n c_o the_o weight_n to_o be_v sustain_v d_o the_o power_n that_o do_v uphold_v it_o e._n now_o the_o meaning_n of_o the_o foresay_a principle_n do_v import_v thus_o much_o that_o the_o power_n at_o e_o must_v bear_v the_o same_o proportion_n to_o the_o weight_n d_o as_o the_o distance_n ca_n do_v to_o the_o other_o cb_n which_o because_o it_o be_v octuple_a in_o the_o present_a example_n therefore_o it_o will_v follow_v that_o one_o pound_n at_o b_o or_o e_z will_v equiponderate_v to_o eight_o pound_n at_o a_o or_o d_o as_o be_v express_v in_o the_o figure_n the_o ground_n of_o which_o maxim_n be_v this_o because_o the_o point_n c_o be_v suppose_v to_o be_v the_o centre_n of_o gravity_n on_o either_o side_n of_o which_o the_o part_n be_v of_o equal_a weight_n thus_o also_o must_v it_o be_v if_o we_o suppose_v the_o power_n to_o be_v place_v betwixt_o the_o fulciment_n and_o the_o weight_n as_o in_o this_o example_n where_o 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external_a inanimate_a agent_n whence_o these_o 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d be_v easy_o distinguishable_a into_o two_o sort_n 1._o those_o that_o be_v move_v by_o something_o which_o be_v extrinsecall_v unto_o their_o own_o frame_n as_o mill_n by_o water_n or_o wind_n 2._o those_o that_o receive_v their_o motion_n from_o something_o that_o do_v belong_v to_o the_o frame_n itself_o as_o clock_n watch_n by_o weight_n spring_n or_o the_o like_a of_o both_o which_o sort_n there_o have_v be_v many_o excellent_a invention_n in_o the_o recital_n of_o they_o i_o shall_v insist_v chief_o on_o such_o as_o be_v most_o eminent_a for_o their_o rarity_n and_o subtlety_n among_o the_o 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d that_o receive_v their_o motion_n from_o some_o external_a agent_n those_o of_o more_o common_a use_n be_v mils_n and_o first_o the_o water-mil_n which_o be_v think_v to_o be_v before_o the_o other_o though_o neither_o the_o first_o author_n nor_o so_o much_o as_o the_o time_n wherein_o they_o be_v invent_v be_v full_o know_v and_o therefore_o polydore_n virgil_n refer_v they_o among_o other_o fatherless_a invention_n 10._o pliny_n indeed_o do_v mention_v they_o as_o be_v common_o use_v in_o his_o time_n and_o yet_o other_o affirm_v that_o bellisarius_fw-la in_o the_o reign_n of_o justinian_n do_v first_o invent_v they_o 22._o whence_o pancirollus_n conclude_v that_o it_o be_v likely_a their_o use_n be_v for_o some_o space_n intermit_v and_o be_v afterward_o renew_v again_o they_o be_v then_o think_v to_o be_v first_o discover_v however_o it_o be_v certain_a that_o this_o invention_n have_v much_o abridge_v and_o advantage_v the_o labour_n of_o man_n who_o be_v before_o condemn_v unto_o this_o slavery_n as_o now_o unto_o the_o galley_n pistrinum_fw-la and_o as_o the_o force_n of_o water_n have_v be_v useful_a for_o this_o so_o likewise_o may_v it_o be_v contrive_v to_o divers_a other_o purpose_n herein_o do_v the_o skill_n of_o a_o artificer_n chief_o consist_v in_o the_o application_n of_o these_o common_a motion_n unto_o various_a and_o beneficial_a end_n make_v they_o serviceable_a not_o only_o for_o the_o grind_n of_o corn_n but_o for_o the_o prepare_n of_o iron_n or_o other_o oar_n the_o make_n of_o paper_n the_o elevate_n of_o water_n or_o the_o like_a to_o this_o purpose_n also_o be_v the_o mill_n that_o be_v drive_v by_o wind_n which_o be_v so_o much_o more_o convenient_a than_o the_o other_o by_o how_o much_o their_o situation_n may_v be_v more_o easy_a and_o common_a the_o motion_n of_o these_o may_v likewise_o be_v accommodate_v to_o as_o various_a use_n as_o the_o other_o there_o be_v scarce_o any_o labour_n to_o the_o performance_n of_o which_o a_o ingenious_a artificer_n can_v apply_v they_o to_o the_o saw_v of_o timber_n the_o plow_a of_o land_n or_o any_o other_o the_o like_a service_n which_o can_v be_v dispatch_v the_o ordinary_a way_n without_o much_o toil_n and_o tediousness_n and_o it_o be_v a_o wonderful_a thing_n to_o consider_v how_o much_o man_n labour_n may_v be_v ease_v and_o contract_v in_o sundry_a particular_n if_o such_o as_o be_v well_o skill_v in_o the_o prinple_n and_o practice_n of_o these_o mechanical_a experiment_n will_v but_o thorough_o apply_v their_o study_n unto_o the_o enlargement_n of_o such_o invention_n there_o be_v some_o other_o motion_n by_o wind_n or_o air_n which_o though_o they_o be_v not_o so_o common_a as_o the_o other_o yet_o may_v prove_v of_o excellent_a curiosity_n and_o singular_a use_n such_o be_v that_o musical_a instrument_n invent_v by_o cornelius_n dreble_a ernestum_fw-la which_o be_v set_v in_o the_o sunshine_n will_v of_o itself_o render_v a_o soft_a and_o pleasant_a harmony_n but_o be_v remove_v into_o the_o shade_n it_o will_v present_o become_v silent_a the_o reason_n of_o it_o be_v this_o the_o warmth_n of_o the_o sun_n work_v upon_o some_o moisture_n within_o it_o and_o rarify_n the_o inward_a air_n unto_o so_o great_a a_o extension_n that_o it_o must_v needs_o seek_v for_o vent_v or_o issue_n do_v thereby_o give_v several_a motion_n unto_o the_o instrument_n somewhat_o of_o this_o nature_n be_v the_o aeolipile_n which_o be_v concave_a vessel_n consist_v of_o some_o such_o material_a as_o may_v endure_v the_o fire_n have_v a_o small_a hole_n at_o which_o they_o be_v fill_v with_o water_n and_o out_o of_o which_o when_o the_o vessel_n be_v heat_v the_o air_n do_v issue_n forth_o with_o a_o strong_a and_o last_a violence_n these_o be_v frequent_o use_v for_o the_o exciting_a and_o contract_a of_o heat_n in_o the_o melt_a of_o glass_n or_o metal_n they_o may_v also_o be_v contrive_v to_o be_v serviceable_a for_o sundry_a other_o pleasant_a use_n as_o for_o the_o move_n of_o sail_n in_o a_o chimney_n corner_n the_o motion_n of_o which_o sail_n may_v be_v apply_v to_o the_o turn_n of_o a_o spit_n or_o the_o like_a but_o there_o be_v a_o better_a invention_n to_o this_o purpose_n mention_v in_o cardan_n 58._o whereby_o a_o spit_n may_v be_v turn_v without_o the_o help_n of_o weight_n by_o the_o motion_n of_o the_o air_n that_o ascend_v the_o chimney_n and_o it_o may_v be_v useful_a for_o the_o roast_n of_o many_o or_o great_a joint_n for_o as_o the_o fire_n must_v be_v increase_v according_a to_o the_o quantity_n of_o meat_n so_o the_o force_n of_o the_o instrument_n will_v be_v augment_v proportionable_o to_o the_o fire_n in_o which_o contrivance_n there_o be_v these_o convenience_n above_o the_o jack_n of_o ordinary_a use_n 1._o it_o make_v little_a or_o no_o noise_n in_o the_o motion_n 2._o it_o need_v no_o wind_v up_o but_o will_v constant_o move_v of_o itself_o while_o there_o be_v any_o fire_n to_o rarify_v the_o air_n 3._o it_o be_v much_o cheap_a than_o the_o other_o instrument_n that_o be_v common_o use_v to_o this_o purpose_n there_o be_v require_v unto_o it_o only_o a_o pair_n of_o sail_n which_o must_v be_v place_v in_o that_o part_n of_o the_o chimney_n where_o it_o begin_v to_o be_v straighten_v and_o one_o wheel_n to_o the_o axis_fw-la of_o which_o the_o spit_n line_n must_v be_v fasten_v according_a to_o this_o follow_a diagram_n the_o motion_n of_o these_o sail_n may_v likewise_o be_v serviceable_a for_o sundry_a other_o purpose_n beside_o the_o turn_n of_o a_o spit_n for_o the_o chime_a of_o bell_n or_o other_o musical_a device_n and_o there_o can_v be_v any_o more_o pleasant_a contrivance_n for_o continual_a &_o cheap_a music_n it_o may_v be_v useful_a also_o for_o the_o reel_a of_o yarn_n the_o rock_n of_o a_o cradle_n with_o divers_a the_o like_a domestic_a occasion_n for_o as_o be_v say_v before_o any_o constant_a motion_n be_v give_v it_o be_v easy_a for_o a_o ingenious_a artificer_n to_o apply_v it_o unto_o various_a service_n these_o sail_n will_v always_o move_v both_o day_n and_o night_n if_o there_o be_v but_o any_o fire_n under_o they_o and_o sometime_o though_o there_o be_v none_o for_o if_o the_o air_n without_o be_v much_o cold_a than_o that_o within_o the_o room_n then_o must_v this_o which_o be_v more_o warm_a and_o rarify_v natural_o ascend_v through_o the_o chimney_n to_o give_v place_n unto_o the_o more_o condense_a and_o heavy_a which_o do_v usual_o blow_v in_o at_o every_o chink_n or_o cranny_n as_o experience_n show_v unto_o this_o kind_n of_o motion_n may_v be_v reduce_v all_o those_o representation_n of_o live_a creature_n whether_o bird_n or_o beast_n invent_v by_o ctesibius_n which_o be_v for_o the_o most_o part_n perform_v by_o the_o motion_n of_o air_n be_v force_v up_o either_o by_o rarefaction_n with_o fire_n or_o else_o by_o compression_n through_o the_o fall_n of_o some_o heavy_a body_n as_o water_n which_o by_o possess_v the_o place_n of_o the_o air_n do_v thereby_o drive_v it_o to_o seek_v for_o some_o other_o vent_n i_o can_v here_o omit_v though_o it_o be_v not_o altogether_o so_o pertinent_a to_o mention_v that_o late_a ingenious_a invention_n of_o the_o winde-gun_n which_o be_v charge_v by_o the_o forcible_a compression_n of_o air_n be_v inject_v through_o a_o syringe_n the_o strife_n and_o distension_n of_o the_o imprison_a air_n serve_v by_o the_o help_n of_o little_a fall_n or_o shut_v within_o to_o stop_v and_o keep_v close_o the_o vent_n by_o which_o it_o be_v admit_v the_o force_n of_o it_o in_o the_o discharge_n be_v almost_o equal_a to_o our_o powder-gun_n i_o have_v find_v upon_o frequent_a trial_n say_v mersennus_n that_o a_o leaden_a bullet_n shoot_v from_o one_o of_o these_o gun_n against_o a_o stone_n wall_n 32._o the_o space_n of_o 24_o pace_n from_o it_o will_v be_v beat_v into_o a_o thin_a plate_n it_o will_v be_v a_o considerable_a addition_n to_o this_o experiment_n which_o the_o same_o author_n mention_n a_o little_a after_o whereby_o he_o will_v make_v the_o same_o charge_n of_o air_n to_o serve_v for_o the_o discharge_n of_o
but_o fly_v in_o a_o swift_a ship_n as_o diodorus_n relate_v the_o historical_a truth_n too_o on_o which_o that_o fiction_n be_v ground_v cap._n vii_o concern_v the_o art_n of_o fly_v the_o several_a way_n whereby_o this_o have_v be_v or_o may_v be_v attempt_v i_o have_v former_o in_o two_o other_o 4._o discourse_n mention_v the_o possibility_n of_o this_o art_n of_o fly_v and_o intimate_v a_o further_a inquiry_n into_o it_o which_o be_v a_o kind_n of_o engagement_n to_o some_o full_a disquisition_n and_o conjecture_n to_o that_o purpose_n there_o be_v four_o several_a way_n whereby_o this_o fly_a in_o the_o air_n have_v be_v or_o may_v be_v attempt_v two_o of_o they_o by_o the_o strength_n of_o other_o thing_n and_o two_o of_o they_o by_o our_o own_o strength_n 1._o by_o spirit_n or_o angel_n 2._o by_o the_o help_n of_o fowl_n 3._o by_o wing_n fasten_v immediate_o to_o the_o body_n 4._o by_o a_o fly_a chariot_n 1._o for_o the_o first_o we_o read_v of_o divers_a that_o have_v pass_v swift_o in_o the_o air_n 4._o by_o the_o help_n of_o spirit_n and_o angel_n whether_o good_a angel_n as_o 2.11_o elias_n be_v carry_v unto_o heaven_n in_o a_o fiery_a chariot_n as_o 39_o philip_n be_v convey_v to_o azotus_n and_o habbacuck_n from_o jewry_n to_o babylon_n and_o back_o again_o immediate_o or_o by_o evil_a angel_n as_o our_o saviour_n be_v carry_v by_o the_o devil_n to_o the_o top_n of_o a_o high_a mountain_n 4._o and_o to_o the_o pinnacle_n of_o the_o temple_n thus_o witch_n be_v common_o relate_v to_o pass_v unto_o their_o usual_a meeting_n in_o some_o remote_a place_n lamus_n and_o as_o they_o do_v sell_v wind_n unto_o mariner_n so_o likewise_o be_v they_o sometime_o hire_v to_o carry_v man_n speedy_o through_o the_o open_a air_n 26._o acosta_n affirm_v that_o such_o kind_n of_o passage_n be_v usual_a among_o divers_a sorcerer_n with_o the_o indian_n at_o this_o day_n so_o kepler_n in_o his_o astronomical_a dream_n do_v fancy_v a_o witch_n to_o be_v convey_v unto_o the_o moon_n by_o her_o familiar_a simon_n magus_n be_v so_o eminent_a for_o miraculous_a sorcery_n that_o all_o the_o people_n in_o samaria_n from_o the_o least_o to_o the_o great_a 8.10_o do_v esteem_v he_o as_o the_o great_a power_n of_o god_n and_o so_o famous_a be_v he_o at_o rome_n 2._o that_o the_o emperor_n erect_v a_o statue_n to_o he_o with_o this_o inscription_n simoni_n deo_fw-la sancto_fw-la it_o be_v story_v of_o this_o magician_n omisisset_fw-la that_o have_v challenge_v saint_n peter_n to_o do_v miracle_n with_o he_o he_o attempt_v to_o fly_v from_o the_o capitol_n to_o the_o aventine_n hill_n but_o when_o he_o be_v in_o the_o midst_n of_o the_o way_n saint_n peter_n prayer_n do_v overcome_v his_o sorcery_n and_o violent_o bring_v he_o to_o the_o ground_n in_o which_o fall_n have_v break_v his_o thigh_n within_o a_o while_n after_o he_o die_v but_o none_o of_o all_o these_o relation_n may_v conduce_v to_o the_o discovery_n of_o this_o experiment_n as_o it_o be_v here_o inquire_v after_o upon_o natural_a &_o artificial_a ground_n 2._o there_o be_v other_o who_o have_v conjecture_v a_o possibility_n of_o be_v convey_v through_o the_o air_n by_o the_o help_n of_o fowl_n to_o which_o purpose_n that_o fiction_n of_o the_o ganza_n be_v the_o most_o pleasant_a and_o probable_a they_o be_v suppose_v to_o be_v great_a fowl_n of_o a_o strong_a last_a flight_n and_o easy_o tamable_a divers_a of_o which_o may_v be_v so_o bring_v up_o as_o to_o join_v together_o in_o carry_v the_o weight_n of_o a_o man_n so_o as_o each_o of_o they_o shall_v partake_v his_o proportionable_a share_n of_o the_o burden_n and_o the_o person_n that_o be_v carry_v may_v by_o certain_a reins_o direct_a and_o steer_v they_o in_o their_o course_n however_o this_o may_v seem_v a_o strange_a proposal_n yet_o it_o be_v not_o certain_o more_o improbable_a than_o many_o other_o art_n wherein_o the_o industry_n of_o ingenious_a man_n have_v instruct_v these_o brute_n creature_n and_o i_o be_o very_o confident_a that_o one_o who_o genius_n do_v enable_v he_o for_o such_o kind_n of_o experiment_n upon_o leisure_n and_o the_o advantage_n of_o such_o help_n as_o be_v requisite_a for_o various_a and_o frequent_a trial_n may_v effect_v some_o strange_a thing_n by_o this_o kind_n of_o enquiry_n it_o be_v report_v as_o a_o custom_n among_o the_o leucatians_n that_o they_o be_v wont_n upon_o a_o superstition_n to_o precipitate_v a_o man_n from_o some_o high_a cliff_n into_o the_o sea_n tie_v about_o he_o with_o string_n at_o some_o distance_n many_o great_a fowl_n and_o fix_v unto_o his_o body_n divers_a feather_n spread_v to_o break_v the_o fall_n which_o say_v the_o learned_a bacon_n 886._o if_o it_o be_v diligent_o and_o exact_o contrive_v will_v be_v able_a to_o hold_v up_o and_o carry_v any_o proportionable_a weight_n and_o therefore_o he_o advise_v other_o to_o think_v further_o upon_o this_o experiment_n as_o give_v some_o light_n to_o the_o invention_n of_o the_o art_n of_o fly_v 3._o it_o be_v the_o more_o obvious_a and_o common_a opinion_n that_o this_o may_v be_v effect_v by_o wing_n fasten_v immediate_o to_o the_o body_n this_o come_n near_o to_o the_o imitation_n of_o nature_n which_o shall_v be_v observe_v in_o such_o attempt_n as_o these_o this_o be_v that_o way_n which_o fredericus_fw-la hermannus_n in_o his_o little_a discourse_n de_fw-fr arte_fw-la volandi_fw-la do_v only_o mention_v and_o insist_v upon_o bladuds_o and_o if_o we_o may_v trust_v credible_a story_n it_o have_v be_v frequent_o attempt_v not_o without_o some_o success_n it_o be_v relate_v of_o a_o certain_a english_a munk_n call_v elmerus_n resolut_a about_o the_o confessor_n time_n that_o he_o do_v by_o such_o wing_n fly_v from_o a_o tower_n above_o a_o furlong_n and_o so_o another_o from_o saint_n mark_v steeple_n in_o venice_n another_o at_o norinberge_n and_o busbequius_fw-la speak_v of_o a_o turk_n in_o constantinople_n who_o attempt_v something_o this_o way_n 3._o m._n burton_n mention_v this_o quotation_n do_v believe_v that_o some_o new-fangled_a wit_n it_o be_v his_o cynical_a phrase_n will_v some_o time_n or_o other_o find_v out_o this_o art_n though_o the_o truth_n be_v most_o of_o these_o artist_n do_v unfotunate_o miscarry_v by_o fall_v down_o and_o break_v their_o arm_n or_o leg_n yet_o that_o may_v be_v impute_v to_o their_o want_n of_o experience_n and_o too_o much_o fear_n which_o must_v needs_o possess_v man_n in_o such_o dangerous_a and_o strange_a attempt_n those_o thing_n that_o seem_v very_o difficult_a and_o fearful_a at_o the_o first_o may_v grow_v very_o facile_a after_o frequent_a trial_n and_o exercise_n and_o therefore_o he_o that_o will_v effect_v any_o thing_n in_o this_o kind_n must_v be_v bring_v up_o to_o the_o constant_a practice_n of_o it_o from_o his_o youth_n try_v first_o only_o to_o use_v his_o wing_n in_o run_v on_o the_o ground_n as_o a_o ostrich_n or_o tame_a goose_n will_v do_v touch_v the_o earth_n with_o his_o toe_n and_o so_o by_o degree_n learn_v to_o rise_v high_o till_o he_o shall_v attain_v unto_o skill_n and_o confidence_n i_o have_v hear_v it_o from_o credible_a testimony_n that_o one_o of_o our_o own_o nation_n have_v proceed_v so_o far_o in_o this_o experiment_n that_o he_o be_v able_a by_o the_o help_n of_o wing_n in_o such_o a_o run_a pace_n to_o step_v constant_o ten_o yard_n at_o a_o time_n it_o be_v not_o more_o incredible_a that_o frequent_a practice_n and_o custom_n shall_v enable_v a_o man_n for_o this_o then_o for_o many_o other_o thing_n which_o we_o see_v confirm_v by_o experience_n what_o strange_a agility_n &_o activeness_n do_v our_o common_a tumbler_n &_o dancer_n on_o the_o rope_n attain_v to_o by_o continual_a exercise_n 1._o it_o be_v relate_v of_o certain_a indian_n that_o they_o be_v able_a when_o a_o horse_n be_v run_v in_o his_o full_a career_n to_o stand_v upright_o on_o his_o back_n to_o turn_v themselves_o round_o to_o leap_v down_o gather_v up_o any_o thing_n from_o the_o ground_n &_o immediate_o to_o leap_v up_o again_o to_o shoot_v exact_o at_o any_o mark_n the_o horse_n not_o intermit_a his_o course_n and_o so_o upon_o two_o horse_n together_o the_o man_n set_v one_o of_o his_o foot_n upon_o each_o of_o they_o these_o thing_n may_v seem_v impossible_a to_o other_o and_o it_o will_v be_v very_o dangerous_a for_o any_o one_o to_o attempt_v they_o who_o have_v not_o first_o gradual_o attain_v to_o these_o art_n by_o long_a practice_n and_o trial_n and_o why_o may_v not_o such_o practice_n enable_v he_o as_o well_o for_o this_o other_o experiment_n as_o for_o these_o thing_n there_o be_v other_o who_o have_v invent_v way_n to_o walk_v upon_o the_o water_n as_o regular_o and_o firm_o as_o upon_o the_o land_n there_o be_v some_o so_o accustom_a to_o this_o element_n
at_o f_o yet_o will_v it_o still_o retain_v the_o same_o weight_n which_o it_o have_v at_o c_o because_o these_o plummet_n as_o be_v the_o nature_n of_o all_o heavy_a body_n do_v tend_v downward_o by_o a_o straight_a line_n so_o that_o their_o several_a gravity_n be_v to_o be_v measure_v by_o that_o part_n of_o the_o horizontall_a semidiameter_n which_o be_v direct_o either_o below_o or_o above_o they_o thus_o when_o the_o plummet_n c_o shall_v be_v move_v either_o to_o g_z or_o h_n it_o will_v lose_v ●_o of_o it_o be_v former_a heaviness_n and_o be_v equal_o ponderous_a as_o if_o it_o be_v place_v in_o the_o balance_n at_o the_o number_n 3_o and_o if_o we_o suppose_v it_o to_o be_v situate_v at_o i_o or_o k_o than_o the_o weight_n of_o it_o will_v lie_v whole_o upon_o the_o centre_n and_o not_o at_o all_o conduce_v to_o the_o motion_n of_o the_o wheel_n on_o either_o side_n so_o that_o the_o straight_a line_n which_o pass_v through_o the_o division_n of_o the_o diameter_n may_v serve_v to_o measure_v the_o heaviness_n of_o any_o weight_n in_o its_o several_a situation_n these_o thing_n thorough_o consider_v it_o seem_v very_o possible_a and_o easy_a for_o a_o man_n to_o contrive_v the_o plummet_n of_o a_o wheel_n that_o they_o may_v be_v always_o heavy_a in_o their_o fall_n then_o in_o their_o ascent_n and_o so_o consequent_o that_o they_o shall_v give_v a_o perpetual_a motion_n to_o the_o wheel_n itself_o since_o it_o be_v impossible_a for_o that_o to_o remain_v unmoved_a as_o long_o as_o one_o side_n in_o it_o be_v heavy_a than_o the_o other_o for_o the_o performance_n of_o this_o the_o weight_n must_v be_v so_o order_v 1._o that_o in_o their_o descent_n they_o may_v fall_v from_o the_o centre_n and_o in_o their_o ascent_n may_v rise_v near_o to_o it_o 2._o that_o the_o fall_n of_o each_o plummet_n may_v begin_v the_o motion_n of_o that_o which_o shall_v succeed_v it_o as_o in_o this_o follow_a diagram_n where_o there_o be_v 16_o plummet_n 8_o in_o the_o inward_a circle_n and_o as_o many_o in_o the_o outward_a the_o inequality_n be_v to_o arise_v from_o their_o situation_n it_o be_v therefore_o most_o convenient_a that_o the_o number_n of_o they_o be_v even_o the_o eight_o inward_a plummet_n be_v suppose_v to_o be_v in_o themselves_o so_o much_o heavy_a than_o the_o other_o that_o in_o the_o wheel_n they_o may_v be_v of_o equal_a weight_n with_o those_o above_o they_o and_o then_o the_o fall_n of_o these_o will_v be_v of_o sufficient_a force_n to_o bring_v down_o the_o other_o for_o example_n if_o the_o outward_a be_v each_o of_o they_o 4_o ounce_n than_o the_o inward_a must_v be_v 5_o because_o the_o outward_a be_v distant_a from_o the_o centre_n 5_o of_o those_o part_n whereof_o the_o inward_a be_v but_o 4._o each_o pair_n of_o these_o weight_n shall_v be_v join_v together_o by_o a_o little_a string_n or_o chain_n which_o must_v be_v fasten_v about_o the_o middle_n betwixt_o the_o bullet_n and_o the_o centre_n of_o that_o plummet_n which_o be_v to_o fall_v first_o and_o at_o the_o top_n of_o the_o other_o when_o these_o bullet_n in_o their_o descent_n be_v at_o their_o far_a distance_n from_o the_o centre_n of_o the_o wheel_n then_o shall_v they_o be_v stop_v and_o rest_n on_o the_o pin_n place_v to_o that_o purpose_n and_o so_o in_o their_o rise_n there_o must_v be_v other_o pin_n to_o keep_v they_o in_o a_o convenient_a posture_n and_o distance_n from_o the_o centre_n lest_o approach_v too_o near_o unto_o it_o they_o thereby_o become_v unfit_a to_o fall_v when_o they_o shall_v come_v to_o the_o top_n of_o the_o descend_a side_n this_o may_v be_v otherwise_o contrive_v with_o some_o different_a circumstance_n but_o they_o will_v all_o redound_v to_o the_o same_o effect_n by_o such_o a_o engine_n it_o seem_v very_o probable_a that_o a_o man_n may_v produce_v a_o perpetual_a motion_n the_o distance_n of_o the_o plummet_n from_o the_o centre_n increase_v their_o weight_n on_o one_o side_n and_o their_o be_v tie_v to_o one_o another_o cause_v a_o constant_a succession_n in_o their_o fall_n but_o now_o upon_o experience_n i_o have_v find_v this_o to_o be_v fallacious_a &_o the_o reason_n may_v sufficient_o appear_v by_o a_o calculation_n of_o the_o heaviness_n of_o each_o plummet_n according_a to_o its_o several_a situation_n which_o may_v easy_o be_v do_v by_o those_o perpendicular_o that_o cut_v the_o diameter_n as_o be_v before_o explain_v and_o be_v here_o express_v in_o five_o of_o the_o plummet_n on_o the_o descend_a side_n from_o such_o a_o calculation_n it_o will_v be_v evident_a that_o both_o the_o side_n of_o this_o wheel_n will_v equiponderate_v and_o so_o consequent_o that_o the_o suppose_a inequality_n whence_o the_o motion_n shall_v proceed_v be_v but_o imaginary_a and_o groundless_a on_o the_o descend_a side_n the_o heaviness_n of_o each_o plummet_n may_v be_v measure_v according_a to_o these_o number_n suppose_v the_o diameter_n of_o the_o wheel_n to_o be_v divide_v into_o twenty_o part_n and_o each_o of_o those_o subdivide_v into_o four_o the_o outward_a plummet_n 7_o 0_o 10_o 0_o 7_o 0_o the_o sum_n 24._o the_o inward_a plummet_n 1_o 0_o 7_o 2_o 7_o 2_o 3_o 0_o the_o sum_n 19_o on_o the_o ascend_a side_n the_o weight_n be_v to_o be_v reckon_v according_a to_o these_o degree_n the_o outward_a 1_o 3_o 7_o 2_o 9_o 0_o 5_o 3_o 0_o 0_o the_o sum_n 24._o the_o inward_a 4_o 1_o 7_o 0_o 5_o 2_o 2_o 1_o the_o sum_n 19_o the_o sum_n of_o which_o last_o number_n be_v equal_a with_o the_o former_a and_o therefore_o both_o the_o side_n of_o such_o a_o wheel_n in_o this_o situation_n will_v equiponderate_v if_o it_o be_v object_v that_o the_o plummet_n a_o shall_v be_v contrive_v to_o pull_v down_o the_o other_o at_o b_o and_o then_o the_o descend_a side_n will_v be_v heavy_a than_o the_o other_o for_o answer_v to_o this_o it_o be_v considerable_a 1._o that_o these_o bullet_n towards_o the_o top_n of_o the_o wheel_n can_v descend_v till_o they_o come_v to_o a_o certain_a kind_n of_o inclination_n 2._o that_o any_o low_a bullet_n hang_v upon_o the_o other_o above_o it_o to_o pull_v it_o down_o must_v be_v conceive_v as_o if_o the_o weight_n of_o it_o be_v in_o that_o point_n where_o its_o string_n touch_v the_o upper_a at_o which_o point_n this_o bullet_n will_v be_v of_o less_o heaviness_n in_o respect_n of_o the_o wheel_n then_o if_o it_o do_v rest_n in_o its_o own_o place_n so_o that_o both_o the_o side_n of_o it_o in_o any_o kind_n of_o situation_n may_v equiponderate_v cap._n xv._n of_o compose_v a_o perpetuaell_a motion_n by_o fluid_a weight_n concern_v archimedes_n his_o water-screw_a the_o great_a probability_n of_o accomplish_v this_o inquiry_n by_o the_o help_n of_o that_o with_o the_o fallibleness_n of_o it_o upon_o experiment_n that_o which_o i_o shall_v mention_v as_o the_o last_o way_n for_o the_o trial_n of_o this_o experiment_n be_v by_o contrive_v it_o in_o some_o water_n instrument_n which_o may_v seem_v altogether_o as_o probable_a and_o easy_a as_o any_o of_o the_o rest_n because_o that_o element_n by_o reason_n of_o its_o fluid_a and_o subtle_a nature_n whereby_o of_o its_o own_o accord_n it_o search_v out_o the_o low_a and_o more_o narrow_a passage_n may_v be_v most_o pliable_a to_o the_o mind_n of_o the_o artificer_n now_o the_o usual_a mean_n for_o the_o ascent_n of_o water_n be_v either_o by_o sucker_n or_o force_n or_o something_o equivalent_a thereunto_o neither_o of_o which_o may_v be_v convenient_o apply_v unto_o such_o a_o work_n as_o this_o because_o there_o be_v require_v unto_o each_o of_o they_o so_o much_o or_o more_o strength_n as_o may_v be_v answerable_a to_o the_o full_a weight_n of_o the_o water_n that_o be_v to_o be_v draw_v up_o and_o then_o beside_o they_o move_v for_o the_o most_o part_n by_o fit_n and_o snatch_v so_o that_o it_o be_v not_o easy_o conceivable_a how_o they_o shall_v conduce_v unto_o such_o a_o motion_n which_o by_o reason_n of_o its_o perpetuity_n must_v be_v regular_a and_o equal_a but_o among_o all_o other_o way_n to_o this_o purpose_n that_o invention_n of_o archimedes_n be_v incomparable_o the_o best_a which_o be_v usual_o call_v cochlea_n or_o the_o water-screw_a be_v frame_v by_o the_o helicall_a revolution_n of_o a_o cavity_n about_o a_o cylinder_n we_o have_v not_o any_o discourse_n from_o the_o author_n himself_o concern_v it_o nor_o be_v it_o certain_a whether_o he_o ever_o write_v any_o thing_n to_o this_o purpose_n but_o if_o he_o do_v yet_o as_o the_o injury_n of_o time_n have_v deprive_v we_o of_o many_o other_o his_o excellent_a work_n so_o likewise_o of_o this_o among_o the_o rest_n athenaeus_n speak_v of_o that_o great_a ship_n build_v by_o hiero_n 5._o in_o the_o frame_n of_o which_o there_o be_v