Selected quad for the lemma: end_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
end_n	north_n	part_n	south_n	1,475	5	9.1014	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