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end_n north_n point_n west_n 1,518 5 9.4299 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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one_o and_o the_o same_o position_n for_o as_o you_o come_v unto_o they_o apply_v one_o end_n of_o the_o magnes_fw-la near_o unto_o they_o the_o north_n of_o the_o one_o will_v abhor_v the_o north_n of_o the_o other_o but_o the_o north_n of_o the_o one_o will_v always_o approach_v to_o the_o south_n of_o the_o other_o and_o the_o same_o affection_n be_v in_o the_o stone_n themselves_o for_o the_o find_n of_o the_o pole_n of_o the_o magnes_fw-la it_o may_v be_v do_v by_o hold_v a_o small_a needle_n between_o your_o finger_n soft_o and_o so_o move_v it_o from_o part_n to_o part_v over_o the_o stone_n until_o it_o be_v hold_v perpendicular_a for_o that_o shall_v be_v one_o of_o the_o pole_n of_o the_o stone_n which_o you_o may_v mark_v out_o in_o like_a manner_n find_v out_o the_o other_o pole_n now_o to_o find_v out_o which_o of_o those_o pole_n be_v north_n or_o south_n place_v a_o needle_n be_v touch_v with_o one_o of_o the_o pole_n upon_o a_o smooth_a convex_a body_n as_o the_o nail_n of_o one_o finger_n or_o such_o like_a and_o mark_v which_o way_n the_o end_n of_o the_o needle_n that_o be_v touch_v turn_v if_o to_o the_o south_n than_o the_o point_n that_o touch_v it_o be_v the_o south-pole_n etc._n etc._n and_o it_o be_v most_o certain_a and_o according_a to_o reason_n and_o experience_n that_o if_o it_o be_v suspend_v in_o aequilibrio_fw-la in_o the_o air_n or_o support_v upon_o the_o water_n it_o will_v turn_v contrary_a to_o the_o needle_n that_o touch_v it_o for_o then_o the_o pole_n that_o be_v mark_v for_o the_o south_n shall_v turn_v to_o the_o north_n etc._n etc._n problem_n lxviii_o of_o the_o property_n of_o aeolipile_n or_o bowel_n to_o blow_v the_o fire_n these_o be_v concave_a vessel_n of_o brass_n or_o copper_n or_o other_o material_a which_o may_v endure_v the_o fire_n have_v a_o small_a hole_n very_o narrow_a by_o which_o it_o be_v fill_v with_o water_n then_o place_v it_o to_o the_o fire_n before_o it_o be_v hot_a there_o be_v no_o effect_n see_v but_o assoon_o as_o the_o heat_n do_v penetrate_v it_o the_o water_n begin_v to_o rarefie_v &_o issue_v forth_o with_o a_o hideous_a and_o marvellous_a force_n it_o be_v pleasure_n to_o see_v how_o it_o blow_v the_o fire_n with_o great_a noise_n now_o touch_v the_o form_n of_o these_o vessel_n they_o be_v not_o make_v of_o one_o like_o fashion_n some_o make_v they_o like_o a_o bowl_n some_o like_o a_o head_n paint_v represent_v the_o wind_n some_o make_v they_o like_o a_o pear_n as_o though_o one_o will_v put_v it_o to_o roast_v at_o the_o fire_n when_o one_o will_v have_v it_o to_o blow_v for_o the_o tail_n of_o it_o be_v hollow_v in_o form_n of_o a_o funnel_n have_v at_o the_o top_n a_o very_a little_a hole_n no_o great_a than_o the_o head_n of_o a_o pin_n some_o do_v accustom_v to_o put_v within_o the_o aeolipile_n a_o crooked_a funnel_n of_o many_o folding_n to_o the_o end_n that_o the_o wind_n that_o impetuous_o roll_n to_o and_o fro_o within_o may_v imitate_v the_o noise_n of_o thunder_n other_o content_v themselves_o with_o a_o simple_a funnel_n place_v right_o upward_a somewhat_o wide_a at_o the_o top_n than_o elsewhere_o like_o a_o cone_n who_o basis_n be_v the_o mouth_n of_o the_o funnel_n and_o there_o may_v be_v place_v a_o bowl_n of_o iron_n or_o brass_n which_o by_o the_o vapour_n that_o be_v cast_v out_o will_v cause_v it_o to_o leap_v up_o and_o dance_v over_o the_o mouth_n of_o the_o aeolipile_n last_o some_o apply_v near_o to_o the_o hole_n small_a windmill_n or_o such_o like_a which_o easy_o turn_v by_o reason_n of_o the_o vapour_n or_o by_o help_n of_o two_o or_o more_o bow_v funnel_n a_o bowl_n may_v be_v make_v to_o turne●_n these_o aeolipile_n be_v of_o excellent_a use_n for_o the_o melt_a of_o metal_n and_o such_o like_a now_o it_o be_v cunning_a and_o subtlety_n to_o fill_v one_o of_o these_o aeolipile_n with_o water_n at_o so_o little_a a_o hole_n and_o therefore_o require_v the_o knowledge_n of_o a_o philosopher_n to_o find_v it_o out_o and_o the_o way_n be_v thus_o heat_v the_o aeolipile_n be_v empty_a and_o the_o air_n which_o be_v within_o it_o will_v become_v extreme_o rarefy_v then_o be_v thus_o hot_a throw_v it_o into_o water_n and_o the_o air_n will_v begin_v to_o be_v condense_v by_o which_o mean_v it_o will_v occupy_v less_o room_n therefore_o the_o water_n will_v immediate_o enter_v in_o at_o the_o hole_n to_o avoid_v vacuity_n thus_o you_o have_v some_o practical_a speculation_n upon_o the_o aeolipile_n problem_n lxix_o of_o the_o thermometer_n or_o a_o instrument_n to_o measure_v the_o degree_n of_o heat_n and_o cold_a in_o the_o air_n this_o instrument_n be_v like_o a_o cylindricall_a pipe_n of_o glass_n which_o have_v a_o little_a ball_n or_o bowl_n at_o the_o top_n the_o small_a end_n of_o which_o be_v place_v into_o a_o vessel_n of_o water_n below_o as_o by_o the_o figure_n may_v be_v see_v then_o put_v some_o colour_a liquor_n into_o the_o cylindricall_a glass_n as_o blue_a red_a yellow_a green_a or_o such_o like_a such_o as_o be_v not_o thick_a this_o be_v do_v the_o use_n may_v be_v thus_o those_o that_o will_v determine_v this_o change_n by_o number_n and_o degree_n may_v draw_v a_o line_n upon_o the_o cylinder_n of_o the_o thermometer_n and_o divide_v it_o into_o 4_o degree_n according_a to_o the_o ancient_a philosopher_n or_o into_o 4_o degree_n according_a to_o the_o physician_n divide_v each_o of_o these_o 8_o into_o 8_o other_o to_o have_v in_o all_o 64_o division_n &_o by_o this_o way_n they_o may_v not_o only_o distinguish_v upon_o what_o degree_n the_o water_n ascend_v in_o the_o morning_n at_o midday_n &_o at_o any_o other_o hour_n but_o also_o one_o may_v know_v how_o much_o one_o day_n be_v hot_a or_o cold_a than_o another_o by_o mark_v how_o many_o degree_n the_o water_n ascend_v or_o descend_v one_o may_v compare_v the_o hot_a and_o cold_a day_n in_o a_o whole_a year_n together_o with_o these_o of_o another_o year_n again_o one_o may_v know_v how_o much_o hot_a one_o room_n be_v than_o another_o by_o which_o also_o one_o may_v keep_v a_o chamber_n a_o furnace_n a_o stove_n etc._n etc._n always_o in_o a_o equality_n of_o heat_n by_o make_v the_o water_n of_o the_o thermometer_n rest_v always_o upon_o one_o &_o the_o same_o degree_n in_o brief_a one_o may_v judge_v in_o some_o measure_n the_o burn_a of_o fever_n and_o near_o unto_o what_o extension_n the_o air_n can_v be_v rarefy_v by_o the_o great_a heat_n many_o make_v use_v of_o these_o glass_n to_o judge_v of_o the_o weather_n for_o it_o be_v observe_v that_o if_o the_o water_n fall_v in_o 3_o or_o 4_o hour_n a_o degree_n or_o thereabouts_o that_o rain_n ensue_v and_o the_o water_n will_v stand_v at_o that_o stay_n until_o the_o weather_n change_n mark_v the_o water_n at_o your_o go_v to_o bed_n for_o if_o in_o the_o morning_n it_o have_v descend_v rain_n follow_v but_o if_o it_o be_v mount_v high_a it_o argue_v fair_a weather_n so_o in_o very_o cold_a weather_n if_o it_o fall_v sudden_o it_o be_v snow_n or_o some_o sleekey_n weather_n that_o wiil_n ensue_v problem_n lxx_o of_o the_o proportion_n of_o humane_a body_n of_o statue_n of_o colossus_n or_o huge_a image_n and_o of_o monstrous_a giant_n pythagoras_n have_v reason_n to_o say_v that_o man_n be_v the_o measure_n of_o all_o thing_n first_o because_o he_o be_v the_o most_o perfect_a among_o all_o bodily_a creature_n &_o according_a to_o the_o maxim_n of_o philosopher_n that_o which_o be_v most_o perfect_a and_o the_o first_o in_o rank_n measure_v all_o the_o rest_n second_o because_o in_o effect_v the_o ordinary_a measure_n of_o a_o foot_n the_o inch_n the_o cubit_n the_o pace_n have_v take_v their_o name_n and_o greatness_n from_o humane_a body_n three_o because_o the_o symmetry_n and_o concordancie_n of_o the_o part_n be_v so_o admirable_a that_o all_o work_n which_o be_v well_o proportionable_a as_o namely_o the_o build_n of_o temple_n of_o ship_n of_o pillar_n and_o such_o like_a piece_n of_o architecture_n be_v in_o some_o measure_n fashion_v and_o compose_v after_o his_o proportion_n and_o we_o know_v that_o the_o ark_n of_o noah_n build_v by_o the_o commandment_n of_o god_n be_v in_o length_n 300_o cubit_n in_o breadth_n 50_o cubit_n in_o height_n or_o depth_n 30_o cubit_n so_o that_o the_o length_n contain_v the_o breadth_n 6_o time_n and_o 10_o time_n the_o depth_n now_o a_o man_n be_v measure_v you_o will_v find_v he_o to_o have_v the_o same_o proportion_n in_o length_n breadth_n and_o depth_n vilalpandus_n treat_v of_o the_o temple_n of_o solomon_n that_o chieftain_n of_o work_n be_v modulate_v all_o of_o good_a architecture_n and_o curious_o to_o be_v observe_v in_o many_o