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Word A Word B Word C Word D Occurrence Frequency Band MI MI Band Prominent
earth_n north_n pole_n south_n 3,753 5 10.5697 5 false
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ID Title Author Corrected Date of Publication (TCP Date of Publication) STC Words Pages
A48262 Mathematicall recreations. Or, A collection of many problemes, extracted out of the ancient and modern philosophers as secrets and experiments in arithmetick, geometry, cosmographie, horologiographie, astronomie, navigation, musick, opticks, architecture, statick, mechanicks, chemistry, water-works, fire-works, &c. Not vulgarly manifest till now. Written first in Greeke and Latin, lately compi'ld in French, by Henry Van Etten, and now in English, with the examinations and augmentations of divers modern mathematicians whereunto is added the description and use of the generall horologicall ring: and the double horizontall diall. Invented and written by William Oughtred.; Récréation mathématique. English. Oughtred, William, 1575-1660. aut 1653 (1653) Wing L1790; ESTC R217635 140,825 339

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this_o problem_n be_v resolve_v so_o that_o a_o finger_n or_o player_n upon_o a_o instrument_n be_v near_o a_o echo_n which_o answer_v his_o voice_n or_o instrument_n and_o if_o the_o echo_n answer_v but_o once_o at_o a_o time_n he_o may_v make_v a_o double_a if_o twice_o than_o a_o triple_a if_o three_o time_n than_o a_o harmony_n of_o four_o part_n for_o it_o must_v be_v such_o a_o one_o that_o be_v able_a to_o exercise_v both_o tune_n and_o note_n as_o occasion_n require_v as_o when_o he_o begin_v ut_fw-la before_o the_o echo_n answer_n he_o may_v begin_v sol_fw-mi and_o pronounce_v it_o in_o the_o same_o tune_n that_o ●he_v echo_n answer_v by_o which_o mean_v you_o ●ave_n a_o five_o agreeable_a consort_n of_o music_n then_o in_o the_o same_o time_n that_o the_o echo_n follow_v to_o sound_v the_o second_o note_n sol_fw-mi he_o may_v sound_v forth_o another_o sol_fw-mi high_o or_o low_o to_o make_v a_o eight_o the_o most_o perfect_a consort_n of_o music_n and_o so_o of_o other_o if_o 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between_o his_o leg_n and_o place_v one_o foot_n of_o this_o compass_n in_o the_o centre_n of_o the_o oval_n and_o guide_v the_o thread_n by_o the_o other_o foot_n of_o the_o compass_n and_o so_o carry_v it_o about_o the_o spring_n will_v help_v to_o describe_v and_o draw_v the_o oval_a form_n but_o in_o stead_n of_o the_o compass_n it_o may_v be_v do_v with_o one_o hand_n only_o as_o in_o the_o figure_n may_v appear_v problem_n lv._o of_o a_o pu●se_n difficult_a to_o be_v open_v it_o be_v make_v to_o shut_v and_o open_v with_o ring_n first_o at_o each_o side_n there_o be_v a_o strap_n or_o string_n as_o ab_fw-la and_o cd_o at_o the_o end_n of_o which_o be_v 2_o ring_n b_o &_o d_o and_o the_o string_n cd_o pass_v through_o the_o ring_n b_o so_fw-mi that_o it_o may_v not_o come_v out_o again_o or_o be_v part_v one_o from_o another_o and_o so_o that_o the_o ring_n b_o may_v slide_v up_o and_o down_o upon_o the_o string_n cd_o then_o over_o the_o purse_n there_o be_v a_o piece_n of_o 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string_n dc_o by_o this_o way_n the_o purse_n will_v be_v open_v problem_n lvi_o whether_o it_o be_v more_o hard_a and_o admirable_a without_o compass_n to_o make_v a_o perfect_a circle_n or_o be_v make_v to_o find_v out_o the_o centre_n of_o it_o it_o be_v say_v that_o upon_o a_o time_n past_a two_o mathematician_n meet_v and_o they_o will_v make_v trial_n of_o their_o industry_n the_o one_o make_v instant_o a_o perfect_a circle_n without_o compass_n and_o the_o other_o immediate_o point_v out_o the_o centre_n thereof_o with_o the_o point_n of_o a_o needle_n now_o which_o be_v the_o chief_a action_n it_o seem_v the_o first_o for_o to_o draw_v the_o most_o noble_a figure_n upon_o a_o plain_a table_n without_o other_o help_n than_o the_o hand_n and_o the_o mind_n be_v full_a of_o admiration_n to_o find_v the_o centre_n be_v but_o to_o find_v out_o only_o one_o point_n but_o to_o draw_v a_o round_a there_o must_v be_v almost_o infinite_a point_n equidistant_a from_o the_o centre_n or_o middle_n that_o in_o conclusion_n it_o be_v both_o the_o circle_n and_o the_o centre_n together_o but_o contrary_o it_o may_v seem_v that_o to_o find_v the_o centre_n be_v more_o difficult_a for_o what_o attention_n vivacity_n and_o subtlety_n must_v there_o be_v in_o the_o spirit_n in_o the_o eye_n in_o the_o hand_n which_o will_v choose_v the_o true_a point_n among_o a_o thousand_o other_o point_n he_o that_o make_v a_o circle_n keep_v always_o the_o same_o distance_n and_o be_v guide_v by_o a_o half_a distance_n to_o finish_v the_o rest_n but_o he_o that_o must_v find_v the_o centre_n must_v in_o the_o
his_o most_o glorious_a beauty_n this_o glass_n have_v also_o a_o most_o excellent_a use_n in_o observe_v the_o body_n of_o the_o moon_n in_o time_n of_o eclipse_n for_o it_o augment_v it_o manifold_a and_o most_o manifest_o show_v the_o true_a form_n of_o the_o cloudy_a substance_n in_o the_o sun_n and_o by_o it_o be_v see_v when_o the_o shadow_n of_o the_o earth_n begin_v to_o eclipse_v the_o moon_n &_o when_o total_o she_o be_v over_o shadow_a beside_o the_o celestial_a use_n which_o be_v make_v of_o this_o glass_n it_o have_v another_o noble_a property_n it_o far_o exceed_v the_o ordinary_a perspective_n glass_n which_o be_v use_v to_o see_v thing_n remote_a upon_o the_o earth_n for_o as_o this_o glass_n reach_v up_o to_o the_o heaven_n and_o excel_v they_o there_o in_o his_o performance_n so_o on_o the_o earth_n it_o claim_v preeminency_n for_o the_o object_n which_o be_v far_a remote_a and_o most_o obscure_a be_v see_v plain_a than_o those_o which_o be_v near_o at_o hand_n scorn_v as_o it_o be_v all_o small_a and_o trivial_a service_n as_o leave_v they_o to_o a_o inferior_a help_n great_a use_n may_v be_v make_v of_o this_o glass_n in_o discover_v of_o ship_n army_n etc._n etc._n now_o the_o apparel_n or_o part_n of_o this_o instrument_n or_o glass_n be_v very_o mean_a or_o simple_a which_o make_v it_o the_o more_o admirable_a see_v it_o perform_v such_o great_a service_n have_v but_o a_o convex_a glass_n thick_a in_o the_o middle_n to_o unite_v and_o amass_n the_o ray_n and_o make_v the_o object_n the_o great_a to_o the_o augment_v the_o visual_a angle_n as_o also_o a_o pipe_n or_o trunk_n to_o amass_o the_o species_n and_o hinder_v the_o greatness_n of_o the_o light_n which_o be_v about_o it_o to_o see_v well_o the_o object_n must_v be_v well_o enlighten_v and_o the_o eye_n in_o obscurity_n then_o there_o be_v adjoin_v unto_o it_o a_o glass_n of_o a_o short_a sight_n to_o distinguish_v the_o ray_n which_o the_o other_o will_v make_v more_o confuse_v if_o alone_a as_o for_o the_o proportion_n of_o those_o glass_n to_o the_o trunk_n though_o there_o be_v certain_a rule_n to_o make_v they_o yet_o it_o be_v often_o by_o hazard_n that_o there_o be_v make_v a_o excellent_a one_o there_o be_v so_o many_o difficulty_n in_o the_o action_n therefore_o many_o aught_o to_o be_v try_v see_v that_o exact_a proportion_n in_o geometrical_a calculation_n can_v serve_v for_o diversity_n of_o sight_n in_o the_o observation_n problem_n lxvii_o of_o the_o adamant_n or_o magnes_n and_o the_o needle_n touch_v therewith_o who_o will_v believe_v if_o he_o see_v not_o with_o his_o eye_n that_o a_o needle_n of_o steel_n be_v once_o touch_v with_o the_o magnes_fw-la turn_v not_o once_o not_o a_o year_n but_o as_o long_o as_o the_o world_n last_v his_o end_n towards_o the_o north_n and_o south_n yea_o though_o one_o remove_v it_o and_o turn_v it_o from_o his_o position_n it_o will_v come_v again_o to_o his_o point_n of_o north_n and_o south_n who_o will_v have_v ever_o think_v that_o a_o brute_n stone_n black_a and_o ill_o form_v touch_v a_o ring_n of_o iron_n shall_v hang_v it_o in_o the_o air_n and_o that_o ring_v support_v a_o second_o that_o to_o support_v a_o three_o and_o so_o unto_o 10_o 12_o or_o more_o according_a to_o the_o strength_n of_o the_o magnes_fw-la make_v as_o it_o be_v a_o chain_n without_o a_o line_n without_o soulder_v together_o or_o without_o any_o other_o thing_n to_o support_v they_o only_o but_o a_o most_o occult_a and_o hide_a virtue_n yet_o most_o evident_a in_o this_o effect_n which_o penetrate_v insensible_o from_o the_o first_o to_o the_o second_o from_o the_o second_o to_o the_o three_o etc._n etc._n what_o be_v there_o in_o the_o world_n that_o be_v more_o capable_a to_o cast_v a_o deep_a astonishment_n in_o our_o mind_n than_o a_o great_a massy_a substance_n of_o iron_n to_o hang_v in_o the_o air_n in_o the_o midst_n of_o a_o build_n without_o any_o thing_n in_o the_o world_n touch_v it_o only_o but_o the_o air_n as_o some_o history_n assure_v we_o that_o by_o the_o aid_n of_o a_o magnes_n or_o adamant_n place_v at_o the_o roof_n of_o one_o of_o the_o turkish_a synagogue_n in_o mecca_n the_o sepulchre_n of_o that_o infamous_a mah●met_n rest_v suspend_v in_o the_o air_n and_o pliny_n in_o his_o natural_a history_n write_v that_o the_o architect_n or_o democrates_n do_v begin_v to_o vault_v the_o temple_n of_o assign_v in_o alexandria_n with_o store_n of_o magnes_fw-la to_o produce_v the_o like_a deceit_n to_o hang_v the_o sepulchre_n of_o that_o goddess_n likewise_o in_o the_o air_n i_o shall_v pass_v the_o bound_n of_o my_o counterpoise_n if_o i_o shall_v divulge_v all_o the_o secret_n of_o this_o stone_n and_o shall_v expose_v myself_o to_o the_o laughter_n of_o the_o world_n if_o i_o shall_v brag_v to_o show_v other_o the_o cause_n how_o this_o appear_v than_o in_o its_o own_o natural_a sympathy_n for_o why_o be_v it_o that_o a_o magnes_fw-la with_o one_o end_n will_v cast_v the_o iron_n away_o &_o attract_v it_o with_o the_o other_o from_o whence_o come_v it_o that_o all_o the_o magnes_fw-la be_v not_o proper_a to_o give_v a_o true_a touch_n to_o the_o needle_n but_o only_o in_o the_o two_o pole_n of_o the_o stone_n which_o be_v know_v by_o hang_v the_o stone_n by_o a_o thread_n in_o the_o air_n until_o it_o be_v quiet_a or_o place_v upon_o a_o piece_n of_o cork_n in_o a_o dish_n of_o water_n or_o upon_o some_o thin_a board_n for_o the_o pole_n of_o the_o stone_n will_v then_o turn_v towards_o the_o pole_n of_o the_o world_n and_o point_n out_o the_o north_n and_o south_n and_o so_o show_v by_o which_o of_o these_o end_v the_o needle_n be_v to_o be_v touch_v from_o whence_o come_v it_o that_o there_o be_v a_o variation_n in_o the_o needle_n and_o point_v not_o out_o true_o the_o north_n and_o south_n of_o the_o world_n but_o only_o in_o some_o place_n of_o the_o earth_n how_o be_v it_o that_o the_o needle_n make_v with_o peg_n and_o enclose_a within_o two_o 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