Selected quad for the lemma: end_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
end_n	cut_v	draw_v	line_n	1,514	5	9.0981	5	false

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
B24252	An explanation of Mr. Gunter's quadrant, as it is enlarged with an analemma by Richard Holland.	Holland, R. (Richard), 1596-1677.; Gunter, Edmund, 1581-1626.; Prujean, Joh. (John), mathematical instrument maker.	1676 (1676)	Wing H2431	4,837	18

the_o hour_n of_o the_o night_n in_o any_o place_n of_o the_o north-latitude_n thus_o 18._o observe_v some_o star_n of_o the_o nocturnal_a at_o the_o meridian_n in_o the_o heaven_n and_o turn_v the_o same_o of_o the_o nocturnal_a to_o the_o line_n of_o 12._o so_o shall_v the_o the_o day_n of_o the_o month_n of_o the_o nocturnal_a stand_n at_o the_o hour_n of_o night_n of_o the_o quadrat_fw-la 19_o to_o get_v a_o accessible_a altitude_n first_o measure_v a_o distance_n from_o the_o base_a and_o observe_v the_o summitie_n through_o the_o sight_n and_o see_v on_o what_o part_n or_o division_n of_o the_o quadrat_fw-la the_o string_n fall_v if_o on_o 100_o then_o be_v the_o measure_a distance_n and_o altitude_n of_o the_o thing_n above_o your_o eye_n equal_a if_o on_o 50_o on_o the_o far_a side_n of_o the_o quadrat_fw-la or_o vmbra_fw-la recta_fw-la then_o be_v your_o distance_n double_a to_o the_o height_n if_o on_o 25_o on_o the_o same_o side_n then_o be_v your_o distance_n quadruple_a to_o the_o height_n for_o the_o proportion_n be_v as_o 100_o to_o the_o part_n cut_v by_o the_o string_n so_o be_v the_o measure_a distance_n to_o the_o height_n but_o if_o the_o string_n fall_v on_o 50_o on_o the_o near_a side_n of_o the_o quadrat_fw-la or_o vmbra_fw-la versa_fw-la then_o be_v your_o distance_n but_o half_a the_o height_n if_o on_o 25_o on_o the_o same_o side_n then_o be_v your_o distance_n but_o one_o quarter_n of_o the_o height_n above_o your_o eye_n for_o the_o proportion_n be_v as_o the_o part_n cut_v by_o the_o string_n to_o 100_o so_o be_v the_o distance_n measure_v to_o the_o height_n 20._o hence_o it_o follow_v that_o if_o the_o ground_n will_v permit_v to_o take_v a_o station_n at_o will_n then_o let_v 50_o foot_n yard_n etc._n etc._n be_v measure_v and_o after_o observation_n of_o the_o summitie_n take_v half_a the_o number_n of_o the_o part_n cut_v by_o the_o string_n on_o the_o far_a side_n for_o the_o height_n desire_v if_o 25_o be_v measure_v then_o take_v one_o quarter_n of_o the_o part_n cut_v for_o the_o altitude_n require_v this_o be_v without_o any_o arithmetical_a operation_n the_o reason_n thereof_o be_v see_v that_o it_o be_v as_o in_o the_o first_o as_o 100_o to_o the_o part_n cut_v so_o the_o distance_n to_o the_o height_n therefore_o by_o alternation_n of_o proportion_n as_o 100_o to_o the_o distance_n so_o the_o part_n cut_v to_o the_o height_n but_o see_v that_o the_o distance_n be_v ½_n or_o ¼_n of_o 100_o therefore_o also_o the_o height_n be_v ½_n or_o ¼_n of_o the_o part_n cut_v to_o get_v a_o inaccessible_a altitude_n 21._o if_o the_o height_n be_v inaccessible_a that_o be_v where_o you_o can_v measure_v to_o the_o base_a then_o must_v you_o take_v two_o station_n both_o in_o a_o right_a line_n with_o the_o base_a of_o the_o thing_n and_o at_o each_o station_n observe_v the_o summitie_n note_v the_o part_n cut_v both_o on_o the_o far_a side_n of_o the_o quadrat_fw-la and_o also_o measure_v the_o distance_n between_o the_o two_o station_n then_o must_v you_o divide_v 10000_o by_o each_o number_n of_o part_n cut_v at_o each_o station_n for_o the_o proportion_n be_v as_o the_o difference_n of_o the_o two_o quotient_n be_v to_o the_o distance_n between_o the_o station_n so_o be_v 100_o to_o the_o altitude_n require_v and_o to_o get_v the_o distance_n from_o the_o near_a station_n to_o the_o base_a of_o the_o thing_n the_o proportion_n be_v as_o the_o difference_n between_o the_o quotient_n to_o the_o distance_n between_o the_o station_n so_o the_o lesser_a quotient_n to_o the_o distance_n desire_v of_o the_o analemma_n this_o contain_v all_o the_o line_n in_o the_o rundle_n not_o before_o mention_v in_o the_o nocturnal_a viz._n the_o inner_a circle_n be_v the_o meridian_n of_o the_o analemma_n and_o it_o be_v divide_v into_o 360_o degree_n and_o all_o the_o straight_a line_n draw_v therein_o the_o equinoctial_a be_v the_o middle_n of_o the_o parallel_n line_n and_o pass_v through_o the_o centre_n of_o the_o rundle_n and_o the_o two_o outer_a line_n of_o the_o parallel_n be_v the_o two_o tropic_n the_o rest_n of_o the_o parallel_n be_v the_o intermediate_v line_n of_o the_o sun_n declination_n the_o crooked_a line_n which_o be_v draw_v over_o the_o line_n of_o declination_n be_v the_o hour_n line_n and_o at_o each_o end_n be_v figure_v with_o their_o proper_a figure_n the_o line_n which_o cut_v the_o line_n of_o declination_n at_o right_a angle_n be_v the_o axis_n and_o the_o end_n thereof_o be_v the_o pole_n of_o the_o analemma_n the_o movable_a index_n fasten_v upon_o the_o pin_n in_o the_o centre_n represent_v these_o five_o point_n viz._n the_o centre_n of_o the_o world_n the_o point_n of_o east_n and_o west_n and_o of_o ♈_o and_o ♎_o to_o rectify_v the_o analemma_n put_v the_o horizon_n so_o far_o under_o the_o pole_n thereof_o as_o the_o pole_n of_o the_o world_n be_v elevate_v in_o the_o place_n where_o you_o be_v to_o find_v the_o amplitude_n of_o the_o sun_n rectify_v and_o observe_v where_o the_o parallel_n of_o the_o sun_n declination_n meet_v with_o the_o horizon_n for_o there_o it_o show_v the_o amplitude_n to_o find_v the_o time_n of_o sun_n rise_v rectify_v and_o observe_v what_o hour_n line_n meet_v with_o the_o section_n of_o the_o horizon_n and_o the_o parallel_n of_o the_o sun_n declination_n and_o that_o be_v the_o hour_n to_o find_v the_o hour_n of_o the_o day_n first_o observe_v the_o altitude_n of_o the_o sun_n with_o the_o quadrant_n then_o rectify_v the_o analemma_n and_o with_o your_o compass_n take_v the_o altitude_n from_o the_o centre_n along_o in_o the_o horizon_n and_o run_v the_o compass_n so_o open_v perpendicular_a on_o the_o horizon_n till_o the_o high_a foot_n touch_v the_o parallel_n of_o the_o sun_n declination_n and_o there_o it_o meet_v with_o the_o hour_n to_o get_v the_o time_n of_o day_n break_v if_o any_o be_v rectify_v and_o take_v 18_o degree_n along_o in_o the_o horizon_n and_o put_v one_o foot_n of_o the_o compass_n to_o the_o upper_a edge_n of_o the_o horizon_n and_o turn_v the_o other_o downward_o and_o so_o run_v they_o parallel_v till_o the_o low_a foot_n touch_v the_o parallel_n of_o the_o sun_n declination_n and_o there_o it_o meet_v with_o the_o hour_n to_o find_v the_o continuance_n of_o twilight_n or_o crepusculum_fw-la take_v the_o hour_n of_o daybreak_n from_o the_o hour_n of_o sun_n rise_v and_o the_o difference_n be_v the_o time_n desire_v to_o find_v the_o ascensional_a difference_n in_o time_n take_v the_o time_n of_o sun_n rise_v from_o 6_o if_o the_o sun_n be_v in_o the_o north_n declination_n but_o if_o the_o sun_n have_v south_n declination_n then_o take_v 6_o from_o the_o time_n of_o the_o sun_n rise_v and_o in_o either_o case_n you_o have_v the_o ascensional_a difference_n remain_v hence_o the_o length_n of_o the_o day_n and_o night_n may_v be_v find_v in_o any_o latitude_n which_o may_v be_v thus_o do_v if_o the_o latitude_n &_o sun_n declination_n be_v north_n then_o add_v the_o ascensional_a difference_n to_o 6_o and_o the_o total_a be_v the_o semidiurnal_a arch_n and_o take_v from_o 6_o leave_v the_o seminocturnal_a arch._n but_o if_o the_o latitude_n be_v north_n and_o the_o sun_n declinasion_n be_v south_n then_o take_v the_o ascentional_a difference_n from_o 6_o to_o leave_v the_o semidiurnal_a arch_n but_o add_v it_o to_o 6_o to_o make_v the_o seminocturnal_a arch._n to_o get_v the_o declination_n of_o the_o sun_n rectify_v the_o analemma_n and_o find_v the_o meridian_n altitude_n of_o the_o sun_n by_o your_o quadrant_n and_o take_v the_o same_o altitude_n from_o the_o horizon_n with_o the_o compass_n and_o be_v so_o open_v carry_v they_o parallel_v on_o the_o horizon_n to_o the_o meridian_n circle_n and_o there_o the_o high_a point_n meet_v with_o the_o parallel_n of_o the_o sun_n declination_n to_o find_v the_o latitude_n of_o the_o place_n where_o you_o be_v first_o get_v the_o sun_n meridian_n altitude_n and_o declination_n as_o in_o the_o last_o above_o and_o with_o your_o compass_n take_v the_o same_o altitude_n from_o the_o centre_n along_o the_o horizon_n and_o set_v one_o foot_n of_o the_o compass_n be_v so_o open_v in_o that_o point_n of_o the_o meridian_n where_o the_o parallel_n of_o the_o sun_n touch_v it_o on_o the_o south_n part_n and_o bring_v the_o horizon_n to_o touch_v the_o other_o foot_n of_o the_o compass_n the_o compass_n be_v keep_v perpendicular_a to_o the_o horizon_n &_o then_o the_o north_n end_n of_o the_o horizon_n shall_v show_v the_o pole_n altitude_n finis_fw-la

a_o explanation_n of_o mr_n gvnter_n quadrant_n as_o it_o be_v enlarge_v with_o a_o analemma_n by_o richard_n holland_n mathemat_n this_o book_n with_o all_o mathematical_a instrument_n be_v make_v and_o sell_v by_o john_n prujean_n mathematick-instrument-maker_n near_o new_a college_n in_o oxon._n oxford_z print_v by_o leon_n lichfield_n printer_n to_o the_o university_n anno_fw-la dom._n 1676._o to_o rectify_v the_o quadrant_n 1._o lay_v the_o string_n to_o the_o day_n of_o the_o month_n and_o put_v the_o bead_n to_o the_o 12_o a_o clock_n line_n to_o find_v the_o sun_n place_n in_o the_o ecliptic_a 2._o by_o the_o first_o rectify_v and_o move_v about_o the_o string_n till_o the_o bead_n come_v to_o the_o ecliptic_a and_o there_o it_o show_v the_o sun_n place_n the_o time_n of_o the_o year_n be_v consider_v to_o find_v the_o right_a ascension_n of_o the_o sun_n 3._o by_o the_o first_o rectify_v and_o move_v the_o string_n about_o till_o the_o bead_n fall_v upon_o the_o ecliptic_a and_o then_o the_o string_n will_v show_v the_o right_a ascension_n in_o the_o limb_n of_o the_o quadrant_n the_o time_n of_o the_o year_n be_v consider_v for_o if_o the_o sun_n be_v in_o the_o spring_n sign_n than_o the_o right_a ascension_n be_v so_o much_o as_o it_o be_v from_o the_o begin_n of_o the_o quadrant_n to_o the_o string_n but_o if_o the_o sun_n be_v in_o the_o autumn_n sign_n than_o the_o right_a ascension_n be_v so_o much_o as_o it_o be_v from_o the_o begin_n of_o the_o quadrant_n and_o two_o quadrant_n more_o and_o if_o the_o sun_n be_v in_o the_o summer_n sign_n than_o the_o right_a ascension_n be_v so_o much_o as_o from_o the_o end_n of_o the_o quadrant_n to_o the_o string_n and_o one_o quadrant_n more_o but_o if_o the_o sun_n be_v in_o the_o winter_n sign_n than_o the_o right_a ascension_n be_v as_o much_o as_o it_o be_v from_o the_o string_n to_o the_o end_n of_o the_o quadrant_n and_o three_o quadrant_n more_o to_o find_v the_o amplitude_n of_o the_o sun_n 4._o rectify_v and_o move_v the_o string_n till_o the_o bead_n fall_v upon_o the_o horizontal_n line_n and_o there_o it_o show_v the_o amplitude_n to_o find_v the_o ascensional_a difference_n of_o the_o sun_n 5._o rectify_v and_o move_v about_o the_o string_n till_o the_o bead_n fall_v upon_o the_o horizontal_n line_n and_o then_o the_o distance_n from_o the_o begin_n of_o the_o quadrant_n account_v in_o the_o limb_n to_o the_o string_n be_v the_o ascensional_a difference_n hence_o to_o get_v the_o time_n of_o sun_n rise_v to_o a_o minute_n of_o a_o hour_n 6._o turn_v the_o ascensional_a difference_n into_o time_n account_v every_o 15_o degree_n thereof_o for_o one_o hour_n and_o every_o odd_a degree_n for_o 4_o minute_n of_o a_o hour_n that_o be_v multiply_v the_o odd_a degree_n by_o 4_o to_o make_v they_o minute_n and_o if_o the_o sun_n be_v in_o the_o spring_n or_o summer_n sign_n account_v the_o time_n find_v before_o 6_o in_o the_o morning_n but_o in_o autumn_n or_o winter_n account_v it_o after_o 6_o in_o the_o morning_n to_o get_v the_o time_n of_o sun_n rise_v 〈◊〉_d yet_o more_o grosl_o 7._o rectify_v and_o move_v the_o string_n to_o that_o side_n of_o the_o quadrant_n next_o the_o line_n of_o declination_n and_o there_o the_o bead_n fall_v on_o the_o hour_n to_o find_v the_o declination_n of_o the_o sun_n 8._o rectify_v and_o move_v about_o the_o string_n to_o the_o line_n of_o declination_n and_o there_o the_o bead_n fall_v on_o the_o degree_n of_o declination_n and_o if_o the_o sun_n be_v in_o the_o spring_n or_o summer_n sign_n the_o declination_n be_v north_n but_o if_o the_o sun_n be_v in_o the_o autumn_n or_o winter_n sign_n the_o declination_n be_v south_n to_o get_v the_o latitude_n of_o the_o place_n where_o you_o be_v 9_o first_o get_v the_o declination_n of_o the_o sun_n by_o the_o 8._o proposition_n and_o consider_v whether_o it_o be_v north_n or_o south_n upon_o the_o day_n you_o will_v make_v observation_n and_o then_o take_v the_o meridian_n altitude_n of_o the_o sun_n and_o if_o the_o declination_n thereof_o be_v north_n take_v it_o from_o the_o meridian_n altitude_n to_o leave_v the_o compliment_n of_o latitude_n but_o if_o the_o declination_n be_v south_n then_o add_v it_o to_o the_o meridian_n altitude_n to_o make_v up_o the_o compliment_n of_o latitude_n which_o compliment_n be_v have_v take_v it_o from_o 90_o degree_n the_o remain_n be_v the_o latitude_n desire_v to_o 〈◊〉_d the_o hour_n of_o the_o day_n 10._o rectify_v and_o hold_v the_o quadrant_n so_o that_o the_o sun_n beam_n may_v pass_v through_o the_o sight-hole_n of_o the_o quadrant_n and_o then_o the_o bead_n fall_v on_o the_o hour_n to_o get_v the_o azimuth_n of_o the_o sun_n 11._o rectify_v and_o take_v the_o present_a altitude_n of_o the_o sun_n then_o account_v the_o same_o altitude_n from_o the_o end_n of_o the_o quadrant_n and_o there_o lie_v the_o string_n so_o shall_v the_o bead_n show_v the_o azimuth_n among_o the_o azimuth_n line_n to_o get_v the_o sun_n altitude_n at_o any_o hour_n of_o the_o day_n 12._o rectify_v and_o carry_v the_o string_n about_o till_o the_o bead_n fall_v upon_o the_o hour_n give_v and_o the_o string_n show_v the_o altitude_n in_o the_o limb_n be_v reckon_v from_o the_o begin_n of_o the_o quadrant_n to_o find_v the_o altitude_n of_o the_o sun_n when_o he_o come_v to_o the_o true_a east_n or_o west_n 13._o rectify_v and_o lay_v the_o bead_n on_o the_o east_n and_o west_n line_n and_o so_o the_o string_n show_v the_o altitude_n in_o the_o limb_n be_v reckon_v from_o the_o end_n of_o the_o quadrant_n to_o find_v the_o time_n when_o the_o sun_n come_v to_o true_a east_n or_o west_n 14._o rectify_v and_o carry_v about_o the_o string_n till_o the_o bead_n fall_v unpon_o the_o east_n and_o west_n line_n than_o so_o many_o degree_n of_o the_o limb_n as_o the_o string_n want_v from_o the_o end_n of_o the_o quadrant_n let_v be_v account_v from_o the_o begin_n of_o the_o quadrant_n and_o lay_v the_o string_n there_o so_o the_o bead_n fall_v upon_o the_o hour_n to_o get_v the_o time_n of_o daybreak_n if_o any_o be_v 15._o rectify_v and_o lay_v the_o string_n to_o 18_o degree_n from_o the_o begin_n of_o the_o limb_n and_o so_o the_o bead_n shall_v fall_v upon_o the_o hour_n of_o daybreak_n in_o the_o hour_n line_n of_o the_o contrary_a time_n of_o the_o year_n and_o contrary_a time_n of_o the_o day_n the_o use_n of_o the_o star_n scatter_v in_o the_o quadrant_n they_o be_v to_o find_v the_o hour_n of_o the_o night_n if_o any_o of_o they_o appear_v when_o the_o northern_a star_n of_o the_o nocturnal_a happen_v to_o be_v obscure_v ☞_o where_o note_n that_o each_o of_o these_o star_n have_v a_o figure_n before_o it_o which_o refer_v to_o one_o of_o the_o denticle_n on_o the_o edge_n of_o the_o nocturnal_a where_o those_o star_n be_v to_o be_v use_v and_o those_o denticle_n be_v put_v on_o according_a to_o the_o right_a ascension_n of_o those_o star_n the_o use_n of_o the_o scatter_a star_n follow_v 16._o rectify_v the_o bead_n to_o the_o star_n that_o be_v lay_v the_o string_n to_o the_o star_n and_o put_v the_o bead_n to_o the_o centre_n of_o the_o star_n and_o then_o see_v the_o star_n through_o the_o sight_n and_o observe_v where_o the_o bead_n fall_v among_o the_o summer_n hour_n line_n and_o if_o the_o star_n which_o you_o observe_v be_v towards_o the_o east_n than_o you_o must_v reckon_v by_o the_o morning_n hour_n but_o if_o it_o be_v in_o the_o west_n then_o take_v the_o hour_n of_o the_o afternoon_n now_o turn_v over_o the_o quadrant_n and_o turn_v about_o the_o nocturnal_a till_o the_o denticle_n of_o the_o same_o star_n observe_v do_v lie_v upon_o the_o hour_n which_o you_o find_v on_o the_o quadrant_n side_n and_o then_o look_v for_o the_o day_n of_o the_o month_n on_o the_o edge_n of_o the_o nocturnal_a and_o it_o stand_v at_o the_o hour_n of_o the_o night_n 17._o hereby_o also_o the_o hour_n of_o the_o night_n may_v be_v find_v for_o if_o any_o of_o the_o same_o star_n be_v at_o the_o meridian_n and_o turn_v the_o proper_a denticle_n to_o 12._o at_o night_n than_o the_o day_n of_o the_o month_n will_v stand_v at_o the_o hour_n of_o the_o night_n concern_v the_o rundle_n on_o the_o backside_n of_o the_o quadrant_n this_o contain_v two_o thing_n viz._n the_o nocturnal_a and_o the_o analemma_n to_o the_o nocturnal_a pertain_v the_o hour_n circle_n on_o the_o backside_n of_o the_o quadrant_n and_o the_o circle_n of_o month_n on_o the_o limb_n of_o the_o rundle_n and_o all_o the_o constellation_n grave_v within_o the_o same_o the_o pin_n on_o which_o it_o turn_v about_o represent_v the_o pole_n of_o the_o world_n the_o use_n of_o it_o be_v to_o find_v