Selected quad for the lemma: law_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
law_n	king_n	know_v	power_n	6,767	5	5.0443	4	false

Text snippets containing the quad

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

many_o handful_n of_o earth_n will_v almost_o make_v a_o mountain_n and_o therefore_o we_o may_v easy_o believe_v that_o so_o great_a a_o multitude_n in_o so_o long_a a_o space_n as_o their_o bondage_n last_v for_o above_o four_o hundred_o year_n may_v well_o enough_o accomplish_v such_o vast_a design_n in_o the_o build_n of_o solomon_n temple_n there_o be_v threescore_o and_o ten_o thousand_o that_o bare_a burden_n and_o fourscore_o thousand_o hewer_n in_o the_o mountain_n 1_o king_n 5.15_o the_o ephesian_a temple_n be_v build_v by_o all_o asia_n join_v together_o the_o 127_o pillar_n be_v make_v by_o so_o many_o king_n according_a to_o their_o several_a succession_n the_o whole_a work_n be_v not_o finish_v under_o the_o space_n of_o two_o hundred_o and_o fifteen_o year_n whereas_o the_o transplace_n of_o that_o obelisk_n at_o rome_n by_o sixtus_n the_o five_o speak_v of_o before_o be_v do_v in_o some_o few_o day_n by_o five_o or_o six_o hundred_o man_n and_o as_o the_o work_n be_v much_o less_o than_o many_o other_o record_v by_o antiquity_n so_o the_o mean_n by_o which_o it_o be_v wrought_v be_v yet_o far_o less_o in_o this_o respect_n then_o what_o be_v relate_v of_o they_o 2._o the_o abundance_n of_o wealth_n which_o be_v then_o ingross_v in_o the_o possession_n of_o some_o few_o particular_a person_n be_v now_o diffuse_v among_o a_o far_o great_a number_n there_o be_v now_o a_o great_a equality_n among_o mankind_n and_o the_o flourish_a of_o art_n and_o science_n have_v so_o stir_v up_o the_o spark_n of_o man_n natural_a nobility_n and_o make_v they_o of_o such_o active_a and_o industrious_a spirit_n as_o to_o free_v themselves_o in_o a_o great_a measure_n from_o that_o slavery_n which_o those_o former_a and_o wild_a nation_n be_v subject_v unto_o in_o build_v one_o of_o the_o pyramid_n there_o be_v expend_v for_o the_o maintenance_n of_o the_o labourer_n with_o radish_n and_o onion_n no_o less_o than_o eighteen_o hundred_o talent_n which_o be_v reckon_v to_o amount_v unto_o 1880000_o crown_n or_o thereabouts_o and_o consider_v the_o cheapness_n of_o these_o thing_n in_o those_o time_n and_o place_n so_o much_o money_n may_v go_v far_o than_o a_o sum_n ten_o time_n great_a can_v do_v in_o the_o maintenance_n of_o so_o many_o now_o in_o solomon_n temple_n we_o know_v how_o the_o extraordinary_a riches_n of_o that_o king_n the_o general_a flourish_a of_o the_o whole_a state_n and_o the_o liberality_n of_o the_o people_n do_v joint_o concur_v to_o the_o build_n of_o the_o temple_n 6._o pecuniarum_fw-la copia_fw-la &_o populi_fw-la largitas_fw-la majora_fw-la dictu_fw-la conabatur_fw-la say_v josephus_n the_o rhodian_a colossus_n be_v report_v to_o have_v cost_v three_o hundred_o talent_n the_o make_n and_o so_o be_v all_o those_o other_o famous_a monument_n of_o proportionable_a expense_n pancirollus_n speak_v of_o those_o theater_n that_o be_v erect_v at_o the_o charge_n of_o some_o private_a roman_a citizen_n say_v thus_o 18._o nostro_fw-la hoc_fw-la saeculo_fw-la vel_fw-la rex_fw-la satis_fw-la haberet_fw-la quod_fw-la ageret_fw-la aedificio_fw-la ejusmodi_fw-la erigendo_fw-la and_o a_o little_a after_o upon_o the_o like_a occasion_n res_fw-la mehercule_fw-la miraculosa_fw-la quae_fw-la nostris_fw-la temporibus_fw-la vix_fw-la à_fw-la potentissimo_fw-la aliquo_fw-la rege_fw-la possit_fw-la exhiberi_fw-la 3._o add_v unto_o the_o two_o former_a consideration_n that_o exact_a care_n and_o indefatigable_a industry_n which_o they_o bestow_v in_o the_o raise_n of_o those_o structure_n these_o be_v the_o chief_a and_o only_a design_n on_o which_o many_o of_o they_o do_v employ_v all_o their_o best_a thought_n and_o utmost_a endeavour_n cleopes_n a_o egyptian_a king_n be_v report_v to_o have_v be_v so_o desirous_a to_o finish_v one_o of_o the_o pyramid_n that_o have_v spend_v all_o about_o it_o he_o be_v worth_a or_o can_v possible_o procure_v he_o be_v force_v at_o last_o to_o prostitute_v his_o own_o daughter_n for_o necessary_a maintenance_n and_o we_o read_v of_o ramise_n another_o king_n of_o egypt_n 9_o how_o that_o he_o be_v so_o careful_a to_o erect_v a_o obelisk_n about_o w_z ch_z he_o have_v employ_v 20000_o man_n that_o when_o he_o fear_v lest_o through_o the_o negligence_n of_o the_o artificer_n or_o weakness_n of_o the_o engine_n the_o stone_n may_v fall_v and_o break_v he_o tie_v his_o own_o son_n to_o the_o top_n of_o it_o that_o so_o the_o care_n of_o his_o safety_n may_v make_v the_o workman_n more_o circumspect_a in_o their_o business_n and_o what_o strange_a matter_n may_v be_v effect_v by_o the_o mere_a diligence_n and_o labour_n of_o great_a multitude_n we_o may_v easy_o discern_v from_o the_o wild_a indian_n who_o have_v not_o the_o art_n or_o advantage_n of_o engine_n do_v yet_o by_o their_o unwearied_a industry_n remove_v stone_n of_o a_o incredible_a greatness_n acosta_n relate_v that_o he_o himself_o measure_v one_o at_o tiaguanaco_n 14._o which_o be_v thirty_o eight_o foot_n long_o eighteen_o broad_a and_o six_o thick_a and_o he_o affirm_v that_o in_o their_o stately_a aedifices_fw-la there_o be_v many_o other_o of_o much_o vast_a magnitude_n from_o all_o which_o consideration_n it_o may_v appear_v that_o the_o strangeness_n of_o those_o ancient_a monument_n above_o any_o that_o be_v now_o effect_v do_v not_o necessary_o infer_v any_o defect_n of_o art_n in_o these_o late_a age_n and_o i_o conceive_v it_o be_v as_o easy_a to_o demonstrate_v the_o mechanical_a art_n in_o these_o time_n to_o be_v so_o far_o beyond_o the_o knowledge_n of_o former_a age_n that_o have_v we_o but_o the_o same_o mean_n as_o the_o ancient_n have_v we_o may_v effect_v far_o great_a matter_n than_o any_o they_o attempt_v and_o that_o too_o in_o a_o short_a space_n and_o with_o less_o labour_n cap._n xii_o concern_v the_o force_n of_o the_o mechanic_n faculty_n particular_o the_o balance_n and_o leaver_n how_o they_o may_v be_v contrive_v to_o move_v the_o whole_a world_n or_o any_o other_o conceivable_a weight_n all_o these_o magnificent_a work_n of_o the_o ancient_n before_o specify_v be_v scarce_o considerable_a in_o respect_n of_o art_n if_o we_o compare_v they_o with_o the_o famous_a speech_n and_o act_n of_o archimedes_n of_o who_o it_o be_v report_v that_o he_o be_v frequent_o wont_n to_o say_v how_o that_o he_o can_v move_v datum_n pondus_fw-la cum_fw-la datâ_fw-la potentiâ_fw-la the_o great_a conceivable_a weight_n with_o the_o least_o conceivable_a power_n and_o that_o if_o he_o do_v but_o know_v where_o to_o stand_v and_o fasten_v his_o instrument_n he_o can_v move_v the_o world_n all_o this_o great_a globe_n of_o sea_n and_o land_n which_o promise_n though_o they_o be_v altogether_o above_o the_o vulgar_a apprehension_n or_o belief_n yet_o because_o his_o act_n be_v somewhat_o answerable_a thereunto_o therefore_o the_o king_n of_o syracuse_n do_v enact_v a_o law_n whereby_o every_o man_n be_v bind_v to_o believe_v what_o ever_o archimedes_n will_v affirm_v it_o be_v easy_a to_o demonstrate_v the_o geometrical_a truth_n of_o those_o strange_a assertion_n by_o examine_v they_o according_a to_o each_o of_o the_o forename_a mechanic_n faculty_n every_o one_o of_o which_o be_v of_o infinite_a power_n under_o this_o latter_a faculty_n i_o do_v before_o mention_v that_o engine_n by_o which_o archemedes_n draw_v up_o the_o roman_a ship_n 6._o at_o the_o siege_n of_o syracuse_n this_o be_v usual_o style_v tollenon_fw-mi be_v of_o the_o same_o form_n with_o that_o which_o be_v common_o use_v by_o brewer_n and_o dyer_n for_o the_o draw_v of_o water_n it_o consist_v of_o two_o post_n the_o one_o fasten_v perpendicular_o in_o the_o ground_n the_o other_o be_v joint_v on_o cross_a to_o the_o top_n of_o it_o at_o the_o end_n he_o fasten_v a_o strong_a hook_n or_o grapple_v of_o iron_n which_o be_v let_v over_o the_o wall_n to_o the_o river_n he_o will_v thereby_o take_v hold_n of_o the_o ship_n as_o they_o pass_v under_o and_o afterward_o by_o apply_v some_o weight_n or_o perhaps_o the_o force_n of_o screwes_n to_o the_o other_o end_n he_o will_v thereby_o lift_v they_o into_o the_o open_a air_n where_o have_v swinge_v they_o up_o and_o down_o till_o he_o have_v shake_v out_o the_o man_n and_o good_n that_o be_v in_o they_o he_o will_v then_o dash_v the_o vessel_n against_o the_o rock_n or_o drown_v they_o in_o their_o sudden_a fall_n insomuch_o that_o marcellus_n the_o roman_a general_n be_v wont_a to_o say_v life_n 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d that_o archimedes_n make_v use_v of_o his_o ship_n in_o stead_n of_o bucket_n to_o draw_v water_n with_o this_o faculty_n will_v be_v of_o the_o same_o force_n not_o only_a when_o it_o be_v continue_v in_o one_o but_o also_o when_o it_o be_v multiply_v in_o divers_a instrument_n as_o may_v be_v conceive_v in_o this_o other_o form_n which_o i_o do_v not_o mention_v as_o if_o it_o can_v be_v serviceable_a for_o any_o motion_n since_o the_o

mechanical_a practice_n that_o he_o rather_o think_v it_o to_o be_v thereby_o adorn_v as_o with_o curious_a variety_n and_o to_o be_v exalt_v unto_o its_o natural_a end_n and_o whereas_o the_o mathematician_n of_o those_o former_a age_n do_v possess_v all_o their_o learning_n as_o covetous_a man_n do_v their_o wealth_n only_o in_o thought_n and_o notion_n the_o judicious_a aristotle_n like_o a_o wise_a steward_n do_v lay_v it_o out_o to_o particular_a use_n and_o improvement_n right_o prefer_v the_o reality_n and_o substance_n of_o public_a benefit_n before_o the_o shadow_n of_o some_o retire_a speculation_n or_o vulgar_a opinion_n since_o he_o there_o have_v be_v divers_a other_o author_n who_o have_v be_v eminent_a for_o their_o write_n of_o this_o nature_n such_o be_v hero_n alexandrinus_n hero_n mechanicus_fw-la pappus_n alexandrinus_n proclus_n mathematicus_fw-la vitruvius_n guidus_fw-la vbaldus_n henricus_n monantholius_n galileus_n guevara_n mersennus_n bettinus_n etc._n etc._n beside_o many_o other_o that_o have_v treat_v large_o of_o several_a engine_n as_o augustine_n ramelli_n vittorio_n zoncha_n jacobus_n bessonius_fw-la vegetius_n lipsius_n most_o of_o which_o author_n i_o have_v peruse_v and_o shall_v willing_o acknowledge_v myself_o a_o debtor_n to_o they_o for_o many_o thing_n in_o this_o follow_a discourse_n cap._n ii_o concern_v the_o name_n of_o this_o art_n that_o it_o may_v proper_o be_v style_v liberal_a the_o subject_n and_o nature_n of_o it_o the_o word_n mechanic_n be_v think_v to_o be_v derive_v 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 3_o multum_fw-la ascendere_fw-la pertingere_fw-la intimate_v the_o efficacy_n and_o force_n of_o such_o invention_n understanding_n or_o else_o 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d say_v eustathius_n quia_fw-la hiscere_fw-la non_fw-la sinit_fw-la because_o these_o art_n be_v so_o full_a of_o pleasant_a variety_n that_o they_o admit_v not_o either_o of_o sloth_n or_o weariness_n according_a to_o ordinary_a signification_n the_o word_n be_v use_v in_o opposition_n to_o the_o liberal_a art_n whereas_o in_o propriety_n of_o speech_n those_o employment_n alone_o may_v be_v style_v illiberal_a which_o require_v only_o some_o bodily_a exercise_n as_o manufacture_n trade_n etc._n etc._n and_o on_o the_o contrary_a that_o discipline_n which_o discover_v the_o general_a cause_n effect_n and_o property_n of_o thing_n may_v true_o be_v esteem_v as_o a_o species_n of_o philosophy_n but_o here_o it_o shall_v be_v note_v that_o this_o art_n be_v usual_o distinguish_v into_o a_o twofold_a kind_n 1._o rational_a 8._o 2._o cheirurgicall_a the_o rational_a be_v that_o which_o treat_v of_o those_o principle_n and_o fundamental_a notion_n which_o may_v concern_v these_o mechanical_a practice_n the_o cheirurgicall_a or_o manual_a do_v refer_v to_o the_o make_n of_o these_o instrument_n and_o the_o exercise_v of_o such_o particular_a experiment_n as_o in_o the_o work_n of_o architecture_n fortification_n and_o the_o like_a the_o first_o of_o these_o be_v the_o subject_n of_o this_o discourse_n and_o may_v proper_o be_v style_v liberal_a as_o just_o deserve_v the_o prosecution_n of_o a_o ingenuous_a mind_n for_o if_o we_o consider_v it_o according_a to_o its_o birth_n and_o original_n we_o shall_v find_v it_o to_o spring_v from_o honourable_a parentage_n be_v produce_v by_o geometry_n on_o the_o one_o side_n and_o natural_a philosophy_n on_o the_o other_o if_o according_a to_o its_o use_n and_o benefit_n we_o may_v then_o discern_v that_o to_o this_o shall_v be_v refer_v all_o those_o art_n and_o profession_n so_o necessary_a for_o humane_a society_n whereby_o nature_n be_v not_o only_o direct_v in_o her_o usual_a course_n but_o sometime_o also_o command_v against_o she_o own_o law_n the_o particular_n that_o concern_v architecture_n navigation_n husbandry_n military_a affair_n etc._n etc._n be_v most_o of_o they_o reducible_a to_o this_o art_n both_o for_o their_o invention_n and_o use_n those_o other_o discipline_n of_o logic_n rhetoric_n etc._n etc._n do_v not_o more_o protect_v and_o adorn_v the_o mind_n than_o these_o mechanical_a power_n do_v the_o body_n and_o therefore_o be_v they_o well_o worthy_a to_o be_v entertain_v with_o great_a industry_n and_o respect_n than_o they_o common_o meet_v with_o in_o these_o time_n wherein_o there_o be_v very_o many_o that_o pretend_v to_o be_v master_n in_o all_o the_o liberal_a art_n who_o scarce_o understand_v any_o thing_n in_o these_o particular_n the_o subject_n of_o this_o art_n be_v concern_v the_o heaviness_n of_o several_a body_n or_o the_o proportion_n that_o be_v require_v betwixt_o any_o weight_n in_o relation_n to_o the_o power_n which_o may_v be_v able_a to_o move_v it_o and_o so_o it_o refer_v likewise_o to_o violent_a and_o artificial_a motion_n as_o philosophy_n do_v to_o that_o which_o be_v natural_a the_o proper_a end_n for_o which_o this_o art_n be_v intend_v be_v to_o teach_v how_o by_o understand_v the_o true_a difference_n betwixt_o the_o weight_n and_o the_o power_n a_o man_n may_v add_v such_o a_o fit_a supplement_n to_o the_o strength_n of_o the_o power_n that_o it_o shall_v be_v able_a to_o move_v any_o conceivable_a weight_n though_o it_o shall_v never_o so_o much_o exceed_v that_o force_n which_o the_o power_n be_v natural_o endow_v with_o the_o art_n itself_o may_v be_v thus_o describe_v to_o be_v a_o mathematical_a discipline_n which_o by_o the_o help_n of_o geometrical_a principle_n do_v teach_v to_o contrive_v several_a weight_n and_o power_n unto_o any_o kind_n either_o of_o motion_n or_o rest_n according_a as_o the_o artificer_n shall_v determine_v if_o it_o be_v doubt_v how_o this_o may_v be_v esteem_v a_o species_n of_o mathematics_n gravitatis_fw-la when_o as_o it_o treat_v of_o weight_n and_o not_o of_o quantity_n for_o satisfaction_n to_o this_o there_o be_v two_o particular_n considerable_a 1._o mathematics_n in_o its_o latitude_n be_v usual_o divide_v into_o pure_a and_o mix_v and_o though_o the_o pure_a do_v handle_v only_o abstract_a quantity_n in_o the_o general_a as_o geometry_n arithmetic_n yet_o that_o which_o be_v mix_v do_v consider_v the_o quantity_n of_o some_o particular_a determinate_a subject_n so_o astronomy_n handle_v the_o quantity_n of_o heavenly_a motion_n music_n of_o sound_n and_o mechanic_n of_o weight_n &_o power_n 2._o heaviness_n or_o weight_n be_v not_o here_o consider_v as_o be_v such_o a_o natural_a quality_n whereby_o condense_a body_n do_v of_o themselves_o tend_v downward_o but_o rather_o as_o be_v a_o affection_n whereby_o they_o may_v be_v measure_v and_o in_o this_o sense_n aristotle_n himself_o refer_v it_o among_o the_o other_o species_n of_o quantity_n 2._o as_o have_v the_o same_o proper_a essence_n which_o be_v to_o be_v compound_v of_o integrall_a part_n so_o a_o pound_n do_v consist_v of_o ounce_n dram_n scruple_n whence_o it_o be_v evident_a that_o there_o be_v not_o any_o such_o repugnancy_n in_o the_o subject_n of_o this_o art_n as_o may_v hinder_v it_o from_o be_v a_o true_a species_n of_o mathematics_n cap._n iii_o of_o the_o first_o mechanical_a faculty_n the_o balance_n the_o mechanical_a faculty_n by_o which_o the_o experiment_n of_o this_o nature_n must_v be_v contrive_v be_v usual_o reckon_v to_o be_v these_o six_o 1._o libra_n 1._o the_o balance_n 2._o vectis_fw-la 2._o the_o leaver_n 3._o axis_n in_o peritrochio_n 3._o the_o wheel_n 4._o trochlea_n 4._o the_o pulley_n 5._o cuneus_n 5._o the_o wedge_n 6._o cochlea_n 6._o the_o screw_n unto_o some_o of_o which_o the_o force_n of_o all_o mechanical_a invention_n must_v necessary_o be_v reduce_v i_o shall_v speak_v of_o they_o several_o and_o in_o this_o order_n first_o concern_v the_o balance_n this_o &_o the_o leaver_n be_v usual_o confound_v together_o as_o be_v but_o one_o faculty_n because_o the_o general_a ground_n &_o proportion_n of_o either_o force_n be_v so_o exact_o the_o same_o but_o for_o better_a distinction_n &_o more_o clear_a discovery_n of_o their_o nature_n i_o shall_v treat_v of_o they_o several_o the_o first_o invention_n of_o the_o balance_n be_v common_o attribute_v to_o astrea_n who_o be_v therefore_o deify_v for_o the_o goddess_n of_o justice_n and_o that_o instrument_n itself_o advance_v among_o the_o celestial_a sign_n the_o particular_n concern_v it_o be_v so_o common_o know_v and_o of_o such_o easy_a experiment_n that_o they_o will_v not_o need_v any_o large_a explication_n the_o chief_a end_n and_o purpose_n of_o it_o be_v for_o the_o distinction_n of_o several_a ponderosity_n for_o the_o understanding_n of_o which_o we_o must_v note_v that_o if_o the_o length_n of_o the_o side_n in_o the_o balance_n and_o the_o weight_n at_o the_o end_n of_o they_o be_v both_o mutual_o equal_a than_o the_o beam_n will_v be_v in_o a_o horizontall_a situation_n but_o on_o the_o contrary_a if_o either_o the_o weight_n alone_o be_v equal_a and_o not_o their_o distance_n or_o the_o distance_n alone_o and_o not_o the_o weight_n than_o the_o beam_n will_v according_o decline_v as_o in_o this_o