Selected quad for the lemma: end_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
end_n	distance_n	draw_v	line_n	2,601	5	9.5414	5	true

Text snippets containing the quad

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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&_o a_o line_n strike_v perpendicular_a upon_o it_o apply_v the_o straight_a edge_n unto_o the_o wall_n at_o what_o time_n the_o sun_n shine_v upon_o it_o hold_v the_o board_n parallel_n to_o the_o horizon_n set_v the_o dyal_a thereon_o and_o move_v it_o gentle_o every_o way_n until_o the_o same_o hour_n and_o minute_n be_v show_v in_o both_o dial_n and_o so_o let_v it_o stand_v then_o if_o the_o dyal_a have_v one_o of_o the_o side_n parallel_v to_o the_o meridian_n strike_v a_o line_n along_o that_o side_n upon_o the_o board_n cross_v the_o perpendicular_a or_o else_o with_o a_o bodkin_n make_v a_o point_n upon_o the_o board_n at_o each_o end_n of_o the_o meridian_n and_o take_v away_o the_o instrument_n from_o the_o board_n and_o the_o board_n from_o the_o wall_n lay_v a_o ruler_n to_o those_o two_o point_n and_o draw_v a_o line_n cross_v the_o perpendicular_a for_o the_o angle_n which_o that_o line_n make_v with_o the_o perpendicular_a be_v the_o angle_n of_o the_o decli●nation_n 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as_o they_o will_v be_v if_o there_o be_v a_o liquid_a substance_n in_o the_o glass_n hence_o they_o have_v a_o assure_a proof_n to_o conclude_v that_o the_o hollow_v of_o the_o glass_n be_v total_o empty_a problem_n xl._o if_o any_o one_o shall_v hold_v in_o each_o hand_n as_o many_o piece_n of_o money_n as_o in_o the_o other_o how_o to_o find_v how_o much_o there_o be_v bid_v he_o that_o hold_v the_o money_n that_o he_o put_v out_o of_o one_o hand_n into_o the_o other_o what_o number_n you_o think_v convenient_a provide_v that_o it_o may_v be_v do_v this_o do_v bid_v he_o that_o out_o of_o the_o hand_n that_o he_o put_v the_o other_o number_n into_o that_o he_o take_v out_o of_o it_o as_o many_o as_o remain_v in_o the_o other_o hand_n and_o put_v it_o into_o that_o hand_n for_o then_o be_v assure_v that_o in_o the_o hand_n which_o be_v put_v the_o first_o take_v away_o there_o will_v be_v find_v just_o the_o double_a of_o the_o number_n take_v away_o at_o the_o first_o example_n 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because_o the_o mark_n c_o be_v see_v at_o d_o move_z the_o musket_n to_o and_o fro_o until_o it_o do_v agree_v with_o the_o line_n of_o reflection_n mb_n which_o suppose_v at_o li_n so_o shall_v it_o be_v true_o place_v and_o give_v fire_n to_o the_o musket_n it_o shall_v not_o fail_v to_o strike_v the_o say_a mark_n at_o c._n problem_n lxxx_o how_o to_o make_v a_o image_n to_o be_v see_v hang_v in_o the_o air_n have_v his_o head_n downward_o take_v two_o glass_n and_o place_v they_o at_o right_a angle_n one_o unto_o the_o other_o as_o admit_v ab_fw-la and_o cb_n of_o which_o admit_v cb_n ho●izontall_a and_o let_v the_o eye_n be_v at_o h_n and_o the_o object_n or_o image_n to_o be_v de_fw-fr so_o d_o will_v be_v reflect_v at_o f_o so_o to_o n_o so_o to_o he_o then_o at_o g_z so_o to_o ●_o and_o then_o to_o h_n and_o by_o a_o double_a reflection_n ed_z will_v seem_v in_o qr_n the_o high_a point_n d_o in_o r_o and_o the_o point_n l_o in_o q_n inverse_v as_o be_v say_v take_v d_o for_o the_o head_n and_o e_z for_o the_o foot_n so_o it_o will_v be_v a_o man_n inverse_v which_o will_v seem_v to_o be_v fly_v in_o the_o air_n if_o the_o image_n have_v wing_n unto_o it_o and_o have_v secret_o 〈◊〉_d motion_n and_o if_o the_o glass_n be_v big_a enough_o to_o receive_v many_o reflection_n it_o will_v deceive_v the_o sight_n the_o more_o by_o admire_v the_o change_n of_o colour_n that_o will_v be_v see_v by_o that_o motion_n problem_n lxxxi_o how_o to_o make_v a_o company_n of_o representative_a soldier_n seem_v to_o be_v a_o regiment_n or_o how_o few_o in_o number_n may_v be_v multiply_v to_o seem_v to_o be_v many_o in_o number_n to_o make_v the_o experiment_n upon_o man_n there_o must_v be_v prepare_v two_o great_a glass_n but_o in_o stead_n of_o it_o we_o will_v suppose_v two_o lesser_a as_o gh_v and_o fi_n one_o place_v right_o against_o another_o perpendicular_a to_o the_o horizon_n upon_o a_o plain_a level_n table_n between_o which_o glass_n let_v there_o be_v range_v 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border_n and_o at_o the_o top_n of_o the_o style_n to_o have_v a_o fan_n to_o show_v which_o way_n the_o wind_n blow_v this_o be_v very_o pleasant_a and_o useful_a of_o the_o dial_n upon_o the_o finger_n and_o the_o hand_n be_v it_o nor_o a_o commodity_n very_o agreeable_a when_o one_o be_v in_o the_o fie●d_n or_o in_o some_o vil●age_n without_o any_o other_o dial_n to_o see_v only_o by_o the_o hand_n what_o of_o the_o clock_n it_o be_v which_o give_v it_o very_o near_o and_o may_v be_v practise_v by_o the_o left_a hand_n in_o this_o manner_n take_v a_o straw_n or_o like_a thing_n of_o the_o length_n of_o the_o index_n or_o the_o second_o finger_n hold_v this_o straw_n very_o right_o between_v the_o thumb_n and_o the_o forefinger_n then_o stretch_v forth_o the_o hand_n and_o turn_v your_o back_n and_o the_o palm_n of_o your_o hand_n towards_o the_o sun_n so_o that_o the_o shadow_n of_o the_o muscle_n which_o be_v under_o the_o thumb_n touch_v the_o line_n of_o life_n which_o be_v 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pliny_n assure_v we_o in_o his_o 26_o book_n and_o 8_o chap._n that_o the_o emperor_n augustus_n have_v accommodate_v in_o the_o field_n of_o mars_n a_o obeliske_n of_o this_o height_n he_o make_v about_o it_o a_o pavement_n and_o by_o the_o industry_n of_o man●lius_n the_o mathematician_n there_o be_v enchace_v mark_n of_o copper_n upon_o the_o pavement_n and_o place_v also_o a_o apple_n of_o gold_n upon_o the_o top_n of_o the_o say_a obeliske_n to_o know_v the_o hour_n and_o the_o course_n of_o the_o sun_n with_o the_o increase_n and_o decrease_v of_o day_n by_o the_o same_o shadow_n and_o in_o the_o same_o manner_n do_v some_o by_o the_o shadow_n of_o their_o head_n or_o other_o style_n make_v the_o like_a experiment_n in_o astronomy_n of_o dial_n with_a glass_n pt●lomie_n w●ites_v as_o cardanus_n report_v that_o long_o ago_o there_o be_v glass_n which_o serve_v for_o dial_n and_o present_v the_o face_n of_o the_o beholder_n as_o many_o time_n as_o the_o hour_n ought_v to_o be_v twice_o if_o it_o be_v 2_o of_o the_o clock_n 9_o if_o it_o be_v 9_o etc._n etc._n but_o this_o be_v think_v to_o be_v do_v by_o the_o help_n of_o water_n and_o not_o by_o glass_n which_o do_v leak_n by_o little_a and_o little_a out_o of_o the_o vessel_n discover_v anon_o one_o glass_n than_o anon_o two_o glass_n than_o 3_o 4_o 5_o glass_n etc._n etc._n to_o show_v so_o many_o face_n as_o there_o be_v hour_n which_o be_v only_o by_o leak_a of_o water_n of_o a_o dial_n which_o have_v a_o glass_n in_o the_o place_n of_o the_o style_n what_o will_v you_o say_v of_o the_o invention_n of_o mathematician_n which_o find_v out_o daily_o so_o many_o fine_a and_o curious_a novelty_n they_o have_v now_o a_o way_n to_o make_v dial_n upon_o the_o wainscot_n or_o ceiling_n of_o a_o chamber_n and_o there_o where_o the_o sun_n can_v never_o shine_v or_o the_o beam_n of_o the_o sun_n can_v direct_o strike_v and_o this_o be_v do_v in_o place_v of_o a_o little_a glass_n in_o the_o place_n of_o the_o 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circuit_n of_o the_o earth_n be_v 21600_o mile_n from_o the_o centre_n of_o the_o earth_n to_o the_o moon_n there_o be_v near_o 56_o semidiameter_n of_o the_o earth_n which_o be_v about_o 192416_o mile_n unto_o the_o sun_n there_o be_v 1142_o semidiameter_n of_o the_o earth_n that_o be_v in_o mile_n 3924912_o from_o the_o starry_a firmament_n to_o the_o centre_n of_o the_o earth_n there_o be_v 14000_o semidiameter_n that_o be_v 48184000_o mile_n according_a to_o the_o opinion_n and_o observation_n of_o that_o learned_a tycho_n brahe_n from_o these_o measure_n one_o may_v collect_v by_o arithmetical_a supputation_n many_o pleasant_a proposition_n in_o this_o manner_n first_o if_o you_o imagine_v there_o be_v a_o hole_n through_o the_o earth_n and_o that_o a_o millstone_n shall_v be_v let_v fall_v down_o into_o this_o hole_n and_o to_o move_v a_o mile_n in_o each_o minute_n of_o time_n it_o will_v be_v more_o than_o two_o day_n and_o a_o half_a before_o it_o will_v come_v to_o the_o 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