Selected quad for the lemma: end_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
end_n	line_n	point_n	superficies_n	1,287	5	14.6915	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

but_o somewhat_o scatter_v notwithstanding_o it_o cast_v a_o very_a great_a beautiful_a light_n last_o those_o which_o fear_v to_o hurt_v their_o sight_n by_o the_o approach_n of_o lamp_n or_o candle_n may_v by_o this_o artifice_n place_n at_o some_o corhe_a of_o a_o chamber_n a_o lamp_n with_o a_o hollow_a glass_n behind_o it_o which_o will_v commodious_o reflect_v the_o light_n upon_o a_o table_n or_o to_o a_o place_n assign_v so_o that_o the_o glass_n be_v somewhat_o raise_v to_o make_v the_o light_n to_o strike_fw-mi upon_o the_o table_n with_o sharp_a angle_n as_o the_o sun_n do_v when_o it_o be_v but_o a_o little_a elevate_v above_o the_o horizon_n for_o this_o light_n shall_v exceed_v the_o light_n of_o many_o candle_n place_v in_o the_o room_n and_o be_v more_o pleasant_a to_o the_o sight_n of_o he_o that_o use_v it_o of_o other_o glass_n of_o pleasure_n first_o the_o columnary_a and_o pyramidal_a glass_n that_o be_v contain_v under_o right_a line_n do_v represent_v the_o 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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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quadrant_n and_o be_v the_o north_n pole_n wherefore_o it_o be_v perpendicular_a to_o the_o equinoctial_a have_v his_o due_a position_n the_o diameter_n be_v broad_a and_o slit_v in_o the_o middle_n and_o about_o the_o slit_n on_o both_o side_n be_v the_o month_n and_o day_n of_o the_o year_n and_o within_o this_o slit_n be_v a_o little_a slide_a plate_n pierce_v through_o with_o a_o small_a hole_n which_o hole_n in_o the_o motion_n of_o it_o while_o it_o be_v apply_v to_o the_o day_n of_o the_o year_n represent_v the_o axis_n of_o the_o world_n the_o little_a ring_n whereby_o the_o instrument_n hang_v be_v make_v to_o slip_v up_o and_o down_o along_o the_o quadrant_n that_o so_o by_o help_n of_o a_o little_a tooth_n annex_v the_o instrument_n may_v be_v rectify_v to_o any_o elevation_n of_o the_o pole_n ii_o the_o use_n of_o it_o in_o use_v this_o instrument_n first_o the_o tooth_n of_o the_o little_a ring_n must_v careful_o be_v set_v to_o the_o height_n of_o the_o pole_n in_o the_o 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

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 in_o battalia-wise_a upon_o the_o same_o table_n a_o number_n of_o small_a man_n according_a to_o the_o square_a g_o h_o i_o f_o or_o in_o any_o other_o form_n or_o posture_n hen_n may_v you_o evident_o see_v how_o the_o say_a battle_n will_v be_v multiply_v and_o seem_v far_o big_a in_o the_o appearance_n than_o it_o be_v in_o effect_n corolarie_o by_o this_o invention_n you_o may_v make_v a_o little_a cabinet_n of_o four_o foot_n long_o and_o two_o foot_n large_a more_o or_o less_o which_o be_v fill_v with_o rock_n or_o such_o like_a thing_n or_o there_o be_v put_v into_o it_o silver_n gold_n stone_n of_o lustre_n jewel_n etc._n etc._n and_o the_o wall_n of_o the_o say_a cabinet_n be_v all_o cover_v or_o hang_v with_o plain_a glass_n these_o visibles_n will_v appear_v manifold_o increase_v by_o reason_n of_o the_o multiplicity_n of_o reflection_n and_o at_o the_o open_n of_o the_o say_a cabinet_n have_v set_v something_o which_o may_v hide_v they_o from_o be_v see_v those_o that_o look_v into_o it_o will_v be_v astonish_v to_o see_v so_o few_o in_o number_n which_o before_o seem_v to_o be_v so_o many_o problem_n lxxxii_o of_o fine_a and_o pleasant_a dials_n can_v you_o choose_v a_o more_o ridiculous_a one_o than_o the_o natural_a dial_n write_v among_o the_o greek_a epigram_n upon_o which_o some_o sound_a poet_n make_v verse_n show_v that_o a_o man_n carry_v about_o he_o always_o a_o dial_n in_o his_o face_n by_o mean_n of_o the_o nose_n and_o tooth_n and_o be_v not_o this_o a_o jolly_a dial_n for_o he_o need_v not_o but_o open_a the_o mouth_n the_o line_n shall_v be_v all_o the_o tooth_n and_o the_o nose_n shall_v serve_v for_o the_o style_n of_o a_o dial_n of_o herb_n can_v you_o have_v a_o fine_a thing_n in_o a_o garden_n or_o in_o the_o middle_n of_o a_o compartemeet_a than_o to_o see_v the_o line_n and_o the_o number_n of_o hour_n represent_v with_o little_a bushy_a herb_n as_o of_o hyssop_n or_o such_o which_o be_v proper_a to_o be_v cut_v in_o the_o 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 between_v the_o middle_n of_o the_o two_o other_o great_a line_n which_o be_v see_v in_o the_o palm_n of_o the_o hand_n this_o do_v the_o end_n of_o the_o shadow_n will_v show_v what_o of_o the_o clock_n it_o be_v for_o at_o the_o end_n of_o the_o first_o finger_n it_o be_v 7_o in_o the_o morning_n or_o 5_o in_o the_o evening_n at_o the_o end_n of_o the_o ring-finger_n it_o be_v 8_o in_o the_o morning_n or_o 4_o in_o the_o evening_n at_o the_o end_n of_o the_o little_a finger_n or_o first_o joint_n it_o be_v 9_o in_o the_o morning_n or_o 3_o in_o the_o afternoon_n 10_o &_o 2_o at_o the_o second_o joint_n 11_o and_o 1_o at_o the_o three_o joint_n and_o midday_n in_o the_o line_n follow_a which_o come_v from_o the_o end_n of_o the_o index_n of_o a_o dial_n which_o be_v about_o a_o obeliske_n at_o rome_n be_v not_o this_o a_o pretty_a fetch_n upon_o a_o pavement_n to_o choose_v a_o obeliske_n for_o a_o dial_n have_v 106_o foot_n in_o height_n without_o remove_v the_o basis_n of_o it_o 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 style_n which_o reflect_v the_o light_n with_o the_o same_o condition_n that_o the_o shadow_n of_o the_o style_n show_v the_o hour_n and_o it_o be_v easy_a to_o make_v experiment_n upon_o a_o common_a dial_n change_v only_o the_o disposition_n of_o the_o dial_n and_o tie_v to_o the_o end_n of_o the_o style_n a_o piece_n of_o plain_a glass_n the_o almain_n use_v it_o much_o who_o by_o this_o way_n have_v no_o great_a trouble_n but_o to_o put_v their_o nose_n out_o of_o their_o bed_n and_o see_v what_o a_o clock_n it_o be_v which_o be_v reflect_v

compass_n so_o much_o be_v the_o distance_n between_o the_o two_o place_n if_o the_o distance_n of_o two_o place_n be_v require_v in_o a_o particular_a map_n then_o with_o the_o compass_n take_v the_o distance_n between_o the_o two_o place_n and_o apply_v it_o to_o the_o scale_n of_o miles_n so_o have_v you_o the_o distance_n if_o the_o scale_n be_v too_o short_a take_v the_o scale_n between_o the_o compass_n and_o apply_v that_o to_o the_o two_o place_n as_o often_o as_o you_o can_v so_o have_v you_o the_o distance_n require_v of_o the_o longitude_n latitude_n declination_n and_o distance_n of_o the_o star_n the_o declination_n of_o a_o star_n be_v the_o near_a distance_n of_o a_o star_n from_o the_o aequator_fw-la the_o latitude_n of_o a_o star_n be_v the_o near_a distance_n of_o a_o sarre_n from_o the_o ecliptic_a the_o longitude_n of_o a_o star_n be_v a_o ark_n of_o the_o ecliptic_a contain_v between_o the_o begin_n of_o aries_n and_o the_o circle_n of_o the_o star_n latitude_n which_o be_v a_o circle_n draw_v from_o the_o pole_n of_o the_o ecliptic_a unto_o the_o star_n and_o so_o to_o the_o ecliptic_a the_o distance_n between_o two_o sarre_n in_o heaven_n be_v take_v by_o a_o crosse-staffe_n or_o other_o instrument_n and_o upon_o a_o globe_n it_o be_v do_v by_o take_v between_o the_o foot_n of_o the_o compass_n the_o two_o star_n and_o apply_v it_o to_o the_o aequator_fw-la so_o have_v you_o the_o distance_n between_o those_o two_o starred_a how_o be_v it_o that_o two_o horse_n or_o other_o creature_n be_v foal_v or_o bring_v forth_o into_o the_o world_n at_o one_o and_o the_o same_o time_n that_o after_o certain_a day_n travel_v the_o one_o live_v more_o day_n than_o the_o other_o notwithstanding_o they_o die_v together_o in_o one_o and_o the_o sam●_n moment_n also_o this_o be_v easy_a to_o be_v answer_v let_v one_o of_o they_o travel_n towards_o the_o west_n and_o the_o other_o towards_o the_o east_n then_o that_o which_o go_v towards_o the_o west_n follow_v the_o sun_n and_o therefore_o shall_v have_v the_o day_n somewhat_o long_o than_o if_o there_o have_v be_v no_o travel_n make_v and_o that_o which_o go_v east_n by_o go_v against_o the_o sun_n shall_v have_v the_o day_n short_a and_o so_o in_o respect_n of_o travel_n though_o they_o die_v at_o one_o and_o the_o self_n same_o hour_n and_o moment_n of_o time_n the_o one_o shall_v be_v old_a than_o the_o other_o from_o which_o consideration_n may_v be_v infer_v that_o a_o christian_n a_o jew_n and_o a_o saracen_n may_v have_v their_o sabbath_n all_o upon_o one_o and_o the_o same_o day_n though_o notwithstanding_o the_o saracen_n hold_v his_o sabath_n upon_o the_o friday_n the_o jew_n upon_o the_o saturday_n and_o the_o christian_a upon_o the_o sunday_n for_o be_v all_o three_o resident_a in_o one_o place_n if_o the_o saracen_n and_o the_o christian_a begin_v their_o travel_n upon_o the_o saturday_n the_o christian_a go_v west_n and_o the_o saracen_n eastward_n shall_v compass_v 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