Selected quad for the lemma: end_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
end_n	point_n	south_n	west_n	1,337	5	9.1289	5	false

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

here_o there_o must_v be_v find_v a_o number_n which_o multiply_v by_o 7_o and_o then_o divide_v by_o 2_o 3_o 4_o 5_o 6_o there_o may_v always_o remain_v a_o number_n less_o by_o 1_o than_o the_o divisor_n now_o the_o first_o number_n which_o arrive_v in_o this_o nature_n be_v 119_o unto_o which_o if_o 420_o be_v add_v make_v 539_o which_o also_o will_v do_v the_o same_o and_o so_o by_o add_v 420_o you_o may_v have_v other_o number_n to_o resolve_v this_o proposition_n problem_n xlviii_o how_o many_o sort_n of_o weight_n in_o the_o least_o manner_n must_v there_o be_v to_o weigh_v all_o sort_n of_o thing_n between_o 1_o pound_n and_o 40_o pound_n and_o so_o unto_o 121_o &_o 364_o pound_n to_o weigh_v thing_n between_v 1_o and_o 40_o take_v number_n in_o triple_a proportion_n so_o that_o their_o sum_n be_v equal_a or_o somewhat_o great_a than_o 40_o as_o be_v the_o number_n 1_o 3.9.27_o i_o say_v that_o with_o ●_o such_o weight_n the_o first_o be_v of_o 1_o pound_n the_o second_o be_v 3_o pound_n the_o three_o be_v 9_o pound_n and_o the_o four_o be_v 27_o any_o weight_n between_o 1_o and_o 40_o pound_n may_v be_v weigh_v as_o admit_v to_o weigh_v 21_o pound_n put_v unto_o the_o thing_n that_o be_v to_o be_v weigh_v the_o 9_o pound_n weight_n then_o in_o the_o other_o balance_n put_v 27_o pound_n and_o 3_o pound_n which_o do_v counterpoise_v 21_o pound_n and_o 9_o pound_n and_o if_o 20_o pound_n be_v to_o be_v weigh_v put_v to_o it_o in_o the_o balance_n 9_o and_o 1_o and_o in_o the_o other_o balance_n put_v 27_o and_o 3_o and_o so_o of_o other_o in_o the_o same_o manner_n take_v those_o 5_o weight_n 1_o 3_o 9_o 27_o 81_o you_o may_v weigh_v with_o they_o between_o 1_o pound_n and_o 121_o pound_n and_o take_v those_o 6_o weight_n as_o 1_o 3_o 9_o 2d_o 81_o 243_o you_o may_v weigh_v even_o from_o 1_o pound_n unto_o 364_o pound_n this_o depend_v upon_o the_o property_n of_o continue_a proportional_n the_o latter_a of_o which_o contain_v twice_o all_o the_o former_a 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the_o part_n of_o the_o humour_n or_o moisture_n that_o be_v more_o thin_a which_o do_v easy_o dissipate_v and_o evaporate_v which_o evaporation_n carry_v a_o part_n of_o the_o salt_n with_o it_o and_o because_o that_o solidation_n or_o condensation_n so_o that_o there_o be_v leave_v but_o a_o part_n of_o the_o nourishment_n which_o the_o heat_n bake_v up_o and_o consume_v so_o contrary_o on_o the_o other_o side_n the_o condensation_n and_o restrictive_a quality_n of_o the_o moisture_n cause_v less_o evaporation_n and_o perdition_n and_o so_o consequent_o there_o remain_v more_o nourishment_n which_o make_v a_o great_a increase_n on_o that_o side_n than_o on_o the_o other_o

&_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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the_o centre_n and_o the_o other_o at_o that_o height_n apply_v the_o same_o distance_n unto_o the_o diurnal_a arch_n or_o parallel_v of_o the_o sun_n for_o that_o day_n for_o that_o point_n of_o the_o diurnal_a arch_n upon_o which_o that_o same_o distance_n light_n be_v the_o true_a place_n of_o the_o sun_n upon_o the_o dial_n and_o show_v among_o the_o hour_n line_n the_o true_a time_n of_o the_o day_n xvii_o use._n consideration_n for_o the_o use_n of_o the_o instrument_n in_o the_o night_n in_o such_o question_n as_o concern_v the_o night_n or_o the_o time_n before_o sun_n rise_v and_o after_o sun_n set_v the_o instrument_n represent_v the_o low_a hemisphere_n wherein_o the_o southern_a pole_n be_v elevate_v and_o therefore_o the_o parallel_n which_o be_v above_o the_o aequinoctial_a towards_o the_o centre_n shall_v be_v for_o the_o southern_a or_o winter_n parallel_n and_o those_o beneath_o the_o aequinoctial_a for_o the_o northern_a or_o summer_n parallel_n and_o the_o east_n 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a_o true_a meridian_n line_n draw_v in_o some_o window_n where_o the_o sun_n shine_v wherefore_o suppose_v the_o dial_n to_o be_v just_o set_v either_o upon_o the_o post_n or_o upon_o the_o meridian_n look_v what_o a_o clock_n it_o be_v by_o the_o outward_a dial_n and_o observe_v what_o point_n of_o the_o upright_a shadow_n fall_v upon_o the_o very_a same_o minute_n in_o the_o inner_a dial_n and_o through_o that_o same_o point_n imagine_v a_o parallel_n circle_n for_o the_o sun_n course_n that_o imaginary_a circle_n in_o the_o ecliptic_a shall_v cut_v the_o day_n of_o the_o month_n i_o the_o description_n of_o it_o this_o instrument_n serve_v as_o a_o dial_n to_o find_v the_o hour_n of_o the_o day_n not_o in_o one_o place_n only_o as_o the_o most_o part_n of_o dial_n do_v but_o general_o in_o all_o country_n lie_a north_n of_o the_o aequinoctial_a and_o therefore_o i_o call_v it_o the_o general_a h●rologicall_a ●ing_n it_o consist_v of_o two_o brazen_a circle_n a_o diameter_n and_o a_o 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quadrant_n for_o the_o place_n wherein_o you_o be_v second_o the_o hole_n of_o the_o slide_a plate_n within_o the_o slit_n must_v be_v bring_v exact_o unto_o the_o day_n of_o the_o month_n three_o the_o aeqinoctiall_a be_v to_o be_v draw_v out_o and_o by_o mean_n of_o the_o two_o stud_n in_o the_o meridian_n stay_v it_o it_o be_v to_o be_v set_v perpendicular_a thereto_o four_o guess_v as_o near_o as_o you_o can_v at_o the_o hour_n and_o turn_v the_o hole_n of_o the_o little_a plate_n towards_o it_o last_o hold_v the_o instrument_n up_o by_o the_o little_a ring_n that_o it_o may_v hang_v free_o with_o the_o north_n pole_n thereof_o towards_o the_o north_n and_o move_v it_o gentle_o this_o way_n and_o that_o way_n till_o the_o beam_n of_o the_o sunshining_a through_o that_o hole_n fall_v upon_o that_o middle_a line_n within_o the_o aequinoctial_a for_o there_o shall_v be_v the_o hour_n of_o the_o day_n and_o the_o meridan_n of_o the_o instrument_n shall_v hang_v direct_o north_n and_o south_n these_o instrument_n all_o dial_n be_v make_v in_o brass_n by_o elias_n allen_n dwell_v over_o against_o st._n clement_n church_n without_o temple_n bar_n at_o the_o sign_n of_o the_o horse-shoe_n near_o essex_n gate_n finis_fw-la

same_o time_n take_v heed_n to_o the_o part_n about_o it_o and_o choose_v one_o only_a point_n which_o be_v equal_a distant_a from_o a_o infinite_a of_o other_o point_n which_o be_v in_o the_o circumference_n which_o be_v very_o difficult_a aristotle_n confirm_v this_o among_o his_o moral_n and_o seem_v to_o explain_v the_o difficulty_n which_o be_v to_o be_v find_v in_o the_o middle_n of_o virtue_n for_o it_o may_v want_v a_o thousand_o way_n and_o be_v far_o separate_v from_o the_o true_a centre_n of_o the_o end_n of_o a_o right_a mediocrity_n of_o a_o virtuous_a action_n for_o to_o do_v well_o it_o must_v touch_v the_o middle_a point_n which_o be_v but_o one_o and_o there_o must_v be_v a_o true_a point_n which_o respect_v the_o end_n and_o that_o be_v but_o one_o only_a now_o to_o judge_v which_o be_v the_o most_o difficult_a as_o before_o be_v say_v either_o to_o draw_v the_o round_a or_o to_o find_v the_o centre_n the_o round_o seem_v to_o be_v hard_a than_o to_o find_v the_o 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at_o first_o to_o the_o product_n add_v the_o number_n of_o card_n take_v then_o subtract_v this_o sum_n from_o the_o whole_a number_n of_o card_n the_o remainder_n be_v the_o number_n which_o must_v be_v subtract_v from_o the_o card_n which_o remain_v to_o make_v up_o the_o game_n if_o there_o remain_v nothing_o after_o the_o subtraction_n than_o the_o number_n of_o card_n remain_v do_v just_o show_v the_o number_n of_o point_n which_o be_v in_o the_o card_n choose_v if_o the_o subtraction_n can_v be_v make_v then_o subtract_v the_o number_n of_o card_n from_o that_o number_n and_o the_o remainder_n add_v unto_o the_o card_n that_o do_v remain_v the_o sum_n will_v be_v the_o number_n of_o point_n in_o the_o card_n take_v as_o if_o the_o card_n be_v 7_o 10_o 5_o 8_o and_o the_o term_v give_v be_v 12_o so_o the_o first_o want_v 5_o the_o second_o want_v 2_o the_o three_o want_v 7_o and_o the_o four_o want_v 4_o card_n which_o take_v the_o party_n give_v you_o the_o rest_n of_o the_o card_n then_o secret_o multiply_v 12_o by_o 4_o make_v 48_o to_o which_o add_v 4_o the_o number_n of_o card_n take_v make_v 52_o from_o which_o 52_o shall_v be_v take_v rest_v nothing_o therefore_o according_a to_o the_o direction_n of_o the_o remainder_n of_o the_o card_n which_o be_v 30_o be_v equal_a to_o the_o point_n of_o the_o four_o card_n take_v viz._n 7_o 10_o 5_o 8._o again_o let_v these_o five_o card_n be_v suppose_v to_o be_v take_v 8_o 6_o 10_o 3_o 7_o their_o difference_n to_o 15_o the_o term_n be_v 7_o 9_o 5_o 12_o 8_o which_o number_n of_o card_n take_v there_o will_v remain_v but_o 6_o card_n then_o private_o multiply_v 15_o by_o 5_o make_v 75_o to_o which_o add_v 5_o make_v 80_o from_o this_o take_v 52_o the_o number_n of_o card_n rest_v 28_o to_o which_o add_v the_o remainder_n of_o card_n make_v 34._o the_o sum_n with_o 8_o 6_o 10_o 3_o 7._o problem_n lvii_o many_o card_n place_v in_o diverse_a rank_n to_o find_v which_o of_o these_o card_n any_o one_o have_v think_v take_v 15_o card_n and_o place_v they_o in_o 3_o heap_n in_o rank-wise_a 5_o in_o a_o heap_n now_o suppose_v any_o one_o have_v think_v one_o of_o these_o card_n in_o any_o one_o of_o the_o heap_n it_o be_v easy_a to_o find_v which_o of_o the_o card_n it_o be_v and_o it_o be_v do_v thus_o ask_v he_o in_o which_o of_o the_o heap_n it_o be_v which_o place_n in_o the_o middle_n of_o the_o other_o two_o then_o throw_v down_o the_o card_n by_o 1_o and_o 1_o into_o three_o several_a heap_n in_o rank-wise_a until_o all_o be_v cast_v down_o then_o ask_v he_o in_o which_o of_o the_o rank_n his_o card_n be_v which_o heap_n place_n in_o the_o middle_n of_o the_o other_o two_o heap_n always_o and_o this_o do_v four_o time_n at_o least_o so_o in_o put_v the_o card_n altogether_o look_v upon_o the_o card_n or_o let_v their_o back_n be_v towards_o you_o and_o throw_v out_o the_o eight_o card_n for_o that_o be_v the_o card_n think_v upon_o without_o fail_v problem_n lviii_o many_o card_n be_v offer_v to_o sundry_a person_n to_o find_v which_o of_o these_o card_n any_o one_o think_v upon_o admit_v there_o be_v 4_o person_n then_o take_v 4_o card_n and_o show_v they_o to_o the_o first_o bid_v he_o think_v one_o of_o they_o and_o put_v these_o 4_o away_o then_o take_v 4_o other_o card_n and_o show_v they_o in_o like_a manner_n to_o the_o second_o person_n and_o bid_v he_o think_v any_o one_o of_o these_o card_n and_o so_o do_v to_o the_o three_o person_n and_o so_o the_o four_o etc._n etc._n then_o take_v the_o 4_o card_n of_o the_o first_o person_n and_o dispose_v they_o in_o 4_o rank_n and_o upon_o they_o the_o 4_o card_n of_o the_o second_o person_n upon_o they_o also_o these_o of_o the_o three_o person_n and_o last_o upon_o they_o these_o of_o the_o four_o person_n then_o show_v unto_o eaeh_n of_o these_o party_n each_o of_o these_o rank_n and_o ask_v he_o if_o his_o card_n be_v in_o it_o which_o he_o think_v for_o infallible_o that_o which_o the_o first_o party_n think_v upon_o will_v be_v in_o the_o first_o rank_n and_o at_o the_o bottom_n the_o card_n of_o the_o second_o person_n will_v be_v in_o the_o second_o rank_n the_o card_n of_o the_o three_o think_v upon_o will_v be_v in_o the_o three_o rank_n and_o the_o four_o man_n card_n will_v be_v in_o the_o four_o rank_n and_o so_o of_o other_o if_o there_o be_v more_o person_n use_v the_o same_o method_n this_o may_v be_v practise_v by_o other_o thing_n rank_v they_o by_o certain_a number_n allot_v to_o piece_n of_o money_n or_o such_o like_a thing_n problem_n lix_n how_o to_o make_v a_o instrument_n to_o help_v hear_v as_o galileus_n make_v to_o help_v the_o sight_n think_v not_o that_o the_o mathematics_n which_o have_v furnish_v we_o with_o such_o admirable_a help_n for_o see_v be_v want_v for_o that_o of_o hear_v it_o be_v well_o know_v that_o long_a trunk_n or_o pipe_n make_v one_o hear_v well_o far_o off_o and_o experience_n show_v we_o that_o in_o certain_a place_n of_o the_o orcades_n in_o a_o hollow_a vault_n that_o a_o man_n speak_v but_o soft_o at_o one_o corner_n thereof_o may_v be_v audible_o understand_v at_o the_o other_o end_n notwithstanding_o those_o which_o be_v between_o the_o party_n can_v hear_v he_o speak_v at_o all_o and_o it_o be_v a_o general_a principle_n that_o pipe_n do_v great_o help_v to_o strengthen_v the_o activity_n of_o natural_a cause_n we_o see_v that_o 〈◊〉_d contract_v in_o a_o pipe_n burn_v 4_o or_o 5_o foot_n high_a which_o will_v scarce_o heat_v be_v in_o

the_o open_a air_n the_o rupture_n or_o violence_n of_o water_n issue_v out_o of_o a_o fountain_n show_v we_o that_o water_n be_v contract_v into_o a_o pipe_n cause_v a_o violence_n in_o its_o passage_n the_o glass_n of_o galeileus_n make_v we_o see_v how_o useful_a pipe_n or_o trunk_n be_v to_o make_v the_o light_n and_o species_n more_o visible_a and_o proportionable_a to_o our_o eye_n it_o be_v say_v that_o a_o prince_n of_o italy_n have_v a_o fair_a hall_n in_o which_o he_o can_v with_o facility_n hear_v distinct_o the_o discourse_n of_o those_o which_o walk_v in_o the_o adjacent_a garden_n which_o be_v by_o certain_a vessel_n and_o pipe_n that_o answer_v from_o the_o garden_n to_o the_o hall_n vitruvius_n make_v mention_v also_o of_o such_o vessel_n and_o pipe_n to_o strengthen_v the_o voice_n and_o action_n of_o comedian_n and_o in_o these_o time_n among_o many_o noble_a personage_n the_o new_a kind_n of_o trunk_n be_v use_v to_o help_v the_o hear_n be_v make_v of_o silver_n copper_z or_o other_o resound_a material_a in_o funnell-wise_a put_v the_o wide_a end_n to_o he_o which_o speak_v to_o the_o end_n to_o contract_v the_o voice_n that_o so_o by_o the_o pipe_n apply_v to_o the_o ear_n it_o may_v be_v more_o uniform_a and_o less_o in_o danger_n to_o dissipate_v the_o voice_n and_o so_o consequent_o more_o fortify_v problem_n lx._n of_o a_o fine_a lamp_n which_o go_v not_o out_o though_o one_o carry_v it_o in_o one_o pocket_n or_o be_v roll_v upon_o the_o ground_n will_v still_o burn_v it_o must_v be_v observe_v that_o the_o vessel_n in_o which_o the_o oil_n be_v put_v into_o have_v two_o pin_n on_o the_o side_n of_o it_o one_o against_o another_o be_v include_v within_o a_o circle_n this_o circle_n ought_v to_o have_v two_o other_o pin_n to_o enter_v into_o another_o circle_n of_o brass_n or_o other_o solid_a matter_n last_o this_o second_o circle_n have_v two_o pin_n which_o may_v hang_v within_o some_o box_n to_o contain_v the_o whole_a lamp_n in_o such_o manner_n that_o there_o be_v 6_o pin_n in_o different_a position_n now_o by_o the_o aid_n of_o these_o peg_n or_o pin_n the_o lamp_n that_o be_v in_o the_o middle_n will_v be_v always_o well_o situate_v according_a to_o his_o centre_n of_o gravity_n though_o it_o be_v turn_v any_o way_n though_o if_o you_o endeavour_v to_o turn_v it_o upside_o down_o it_o will_v lie_v level_v which_o be_v pleasant_a and_o admirable_a to_o behold_v to_o those_o which_o know_v not_o the_o cause_n and_o it_o be_v facile_a from_o he_o to_o make_v a_o place_n to_o rest_v quiet_a in_o though_o there_o be_v great_a agitation_n in_o the_o outward_a part_n problem_n lxi_o any_o one_o have_v think_v a_o card_n among_o many_o card_n how_o artificial_o to_o discover_v it_o out_o take_v any_o number_n of_o card_n as_o 10_o 12_o etc._n etc._n and_o open_a some_o 4_o or_o 5_o to_o the_o party_n sight_n and_o bid_v he_o think_v one_o of_o they_o but_o let_v he_o note_v whether_o it_o be_v the_o first_o second_o three_o etc._n etc._n then_o with_o promptness_n learn_v what_o number_n of_o card_n you_o have_v in_o your_o hand_n and_o take_v the_o other_o part_n of_o the_o card_n and_o place_v they_o on_o the_o top_n of_o these_o you_o hold_v in_o your_o hand_n and_o have_v do_v so_o ask_v he_o whether_o his_o card_n be_v the_o first_o second_o etc._n etc._n then_o before_o know_v the_o number_n of_o card_n that_o be_v at_o the_o bottom_n account_v backward_o until_o you_o come_v to_o it_o so_o shall_v you_o easy_o take_v out_o the_o card_n that_o he_o think_v upon_o problem_n lxii_o three_o woman_n ab.c._n carry_v apple_n to_o a_o mark_n to_o sell_v a_o have_v 20_o b_o 30_o and_o c_o 40_o they_o sell_v as_o many_o for_o a_o penny_n the_o one_o as_o the_o other_o and_o bring_v home_o one_o as_o much_o money_n as_o another_o how_o can_v this_o be_v the_o answer_n to_o the_o problem_n be_v easy_a as_o suppose_v at_o the_o begin_n of_o the_o market_n he_o sell_v she_o apple_n at_o a_o penny_n a_o 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