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Word A Word B Word C Word D Occurrence Frequency Band MI MI Band Prominent
world_n north_n pole_n south_n 2,085 5 10.0570 5 false
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ID Title Author Corrected Date of Publication (TCP Date of Publication) STC Words Pages
A67225 The description and uses of the general horological-ring: or universal ring-dyal Being the invention of the late reverend Mr. W. Oughtred, as it is usually made of a portable pocket size. With a large and correct table of the latitudes of the principal places in every shire throughout England and Wales, &c. And several ways to find a meridian-line for the setting a horizontal dyal. By Henry Wynne, maker of mathematical instruments near the Sugar-loaf in Chancery-lane. Wynn, Henry, d. 1709. 1682 (1682) Wing W3778B; ESTC R221060 10,231 45

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have_v one_o and_o the_o same_o latitude_n 10._o colatitude_n the_o compliment_n of_o the_o latitude_n be_v the_o number_n of_o degree_n contain_v between_o the_o zenith_n and_o the_o pole_n which_o be_v also_o the_o same_o with_o the_o distance_n between_o the_o aequinoctial_a and_o the_o horizon_n or_o it_o be_v so_o much_o as_o the_o latitude_n want_v of_o 90_o deg._n for_o subtract_v the_o latitude_n from_o 90_o the_o remainder_n be_v the_o colatitude_n use_v iii_o by_o know_v the_o sun_n declination_n and_o meridian_n altitude_n to_o find_v the_o latitude_n the_o rule_n if_o the_o sun_n declination_n be_v north_n subtract_v it_o from_o the_o meridian_n altitude_n and_o the_o remainder_n be_v the_o colatitude_n but_o if_o the_o sun_n declination_n be_v south_n add_v it_o to_o the_o meridian_n altitude_n and_o the_o sum_n shall_v be_v the_o colatitude_n which_o subtract_v again_o from_o 90_o deg._n the_o remainder_n be_v the_o latitude_n example_n 1._o march_v the_o 10._o the_o sun_n have_v no_o declination_n and_o i_o find_v the_o meridian_n altitude_n at_o london_n to_o be_v 38_o deg_n 28_o min._n therefore_o 38_o deg_n 28_o min._n subtract_v from_o 90_o deg_n the_o remainder_n be_v 51_o d._n 32_o m._n the_o latitude_n of_o london_n and_o by_o this_o we_o see_v when_o the_o sun_n be_v in_o the_o aequinoctial_a its_o meridian_n altitude_n be_v equal_a to_o the_o compliment_n of_o the_o latitude_n example_n 2._o april_n the_o 8._o the_o sun_n declination_n be_v 11_o deg_n north_n and_o its_o meridian_n altitude_n 49_o deg_n 28_o m._n now_o subtract_v 11_o deg_n from_o 49._o 28._o there_o rest_v 38_o deg_n 28_o min._n which_o subtract_v again_o from_o 90_o there_o rest_v 51_o deg_n 32._o min._n the_o latitude_n require_v example_n 3._o october_n the_o 20._o the_o sun_n declination_n be_v 14_o d._n south_n and_o the_o meridian_n altitude_n be_v 24_o d._n 28_o m._n then_o add_v 14_o d._n to_o 24_o d._n 28_o m._n the_o sum_n be_v 38_o d._n 28_o m._n which_o subtract_v from_o 90_o d._n there_o rest_v 51_o d._n 32_o m._n as_o before_o example_n 4._o thus_o if_o the_o declination_n be_v 23_o d._n 30._o m._n north_n and_o the_o meridian_n altitude_n 65_o d._n 10_o m._n the_o latitude_n will_v be_v find_v to_o be_v 48_o d._n 20._o m._n example_n 5._o let_v the_o declination_n be_v 12_o d._n 15_o m._n south_n and_o the_o meridian_n altitude_n 39_o d._n 40_o m._n the_o lat._n will_v be_v 38d_o 5_o m._n note_v that_o these_o rule_n hold_v good_a only_o for_o find_v the_o latitude_n of_o such_o place_n as_o lie_v to_o the_o north_n of_o the_o aequinoctial_a for_o south_n lat._n the_o contrary_a be_v true_a for_o there_o if_o the_o declination_n be_v north_n you_o must_v add_v it_o as_o you_o do_v now_o when_o it_o be_v south_n and_o if_o the_o sun_n declination_n be_v south_n you_o must_v subtract_v it_o as_o you_o do_v here_o when_o it_o be_v north._n and_o lest_o it_o be_v think_v troublesome_a to_o find_v the_o lat._n there_o be_v add_v at_o the_o end_n of_o this_o book_n a_o table_n of_o the_o latitude_n of_o the_o principal_a place_n in_o england_n scotland_n and_o ireland_n so_o that_o be_v near_o any_o of_o those_o place_n you_o may_v make_v use_n of_o the_o lat._n of_o that_o place_n for_o 10_o or_o 20_o mile_n in_o this_o case_n will_v make_v a_o very_a insensible_a or_o no_o alteration_n use_v iu._n to_o find_v the_o hour_n of_o the_o day_n note_v that_o although_o the_o equinoctial_a fold_n up_o within_o the_o meridian_n to_o render_v the_o instrument_n the_o more_o portable_a yet_o when_o you_o will_v find_v the_o hour_n the_o aequinoctial_a must_v be_v draw_v forth_o according_a to_o fig._n iii_o and_o it_o be_v a_o little_a ray_n or_o speck_n of_o light_a that_o come_n through_o the_o hole_n of_o the_o cursor_n of_o the_o axis_n fall_v upon_o the_o line_n in_o the_o middle_n of_o the_o aequinoctial_a and_o show_v the_o hour_n the_o rule_n first_o the_o latitude_n be_v get_v by_o the_o forego_n rule_n or_o by_o the_o table_n at_o the_o end_n of_o this_o book_n slide_v the_o division_n on_o the_o cursor_n of_o the_o meridian_n to_o it_o either_o in_o the_o north_n or_o south_n quadrant_n according_a as_o the_o place_n be_v situate_v second_o slide_v the_o cursor_n of_o the_o axis_n to_o the_o day_n of_o the_o month_n three_o open_v the_o equinox_n as_o far_o as_o it_o will_v go_v which_o be_v just_a to_o cross_v the_o meridian_n then_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 axis_n towards_o the_o hour_n you_o guess_v that_o the_o sun_n may_v the_o better_a shine_n through_o the_o hole_n and_o hold_v the_o instrument_n by_o the_o little_a ring_n so_o that_o it_o may_v hang_v free_o move_v it_o gentle_o this_o way_n and_o that_o till_o the_o sun_n shine_v through_o the_o hole_n you_o can_v discern_v a_o little_a ray_n or_o speck_n of_o light_a to_o fall_v upon_o the_o aequinoctial_a within_o side_n among_o the_o hour_n and_o part_n now_o the_o point_n in_o the_o middle_a line_n whereon_o the_o ray_n fall_v be_v the_o true_a hour_n a_o little_a practice_n will_v make_v it_o very_o easy_a fi._n iii_o represent_v the_o dyal_n as_o it_o be_v when_o you_o will_v find_v the_o hour_n where_o the_o cursor_n z_o be_v set_v to_o the_o lat._n of_o london_n 51_o 32._o the_o cursor_n of_o the_o axis_n be_v set_v to_o the_o day_n be_v april_n the_o 8_o and_o the_o aequinox_n be_v draw_v open_a to_o cross_v the_o meridian_n now_o when_o the_o dyal_n be_v thus_o set_v and_o show_v the_o true_a hour_n the_o meridian_n of_o it_o hang_v direct_o north_n and_o south_n according_a to_o that_o imagine_a in_o the_o have_fw-mi ens_fw-la the_o point_n n_o p_o represent_v the_o north_n pole_n s_o p_o represent_v the_o south_n the_o cursor_n z_o represent_v the_o zenith_n and_o its_o oposite_a point_n n_o represent_v the_o nadir_n the_o axis_n lie_v according_a to_o that_o of_o the_o world_n pass_v from_o pole_n to_o pole_n the_o point_n of_o vi_o and_o vi_o in_o the_o aequinoctial_o direct_o east_n and_o west_n and_o the_o middle_a line_n within_o lie_v according_a to_o the_o true_a aequinoctial_a in_o the_o heaven_n use_v v._n to_o find_v the_o sun_n rise_v and_o set_v note_v this_o line_n of_o rise_v and_o set_v be_v particular_o for_o the_o latitude_n of_o london_n or_o any_o other_o place_n situate_v direct_o east_n or_o west_n from_o it_o but_o it_o may_v indifferent_o serve_v the_o whole_a kingdom_n note_v also_o that_o the_o great_a figure_n stand_v for_o the_o rise_n and_o the_o other_o for_o the_o set_n the_o rule_n slide_v the_o cursor_n of_o the_o axis_n to_o the_o day_n of_o the_o month_n then_o turn_v the_o other_o side_n and_o the_o division_n cross_v the_o hole_n show_v the_o sun_n rise_v and_o set_v in_o the_o line_n r._n example_n 1._o i_o slide_v the_o cursor_n to_o march_v the_o 10_o and_o on_o the_o other_o side_n it_o show_v vi_o and_o 6_o for_o then_o the_o sun_n rise_v at_o 6_o and_o set_v at_o 6._o example_n 2._o april_n the_o 8_o i_o set_v the_o cursor_n to_o the_o day_n and_o on_o the_o other_o side_n it_o show_v v._o and_o 7_o which_o be_v 5_o for_o the_o sun_n rise_v and_o 7_o for_o its_o set_v example_n 3._o october_n the_o 20_o the_o cursor_n be_v set_v to_o the_o day_n on_o the_o other_o side_n it_o will_v show_v the_o rise_v to_o be_v at_o a_o quarter_n after_o vii_o and_o the_o set_v three_o quarter_n after_o 4._o now_o have_v find_v the_o sun_n rise_v and_o set_v you_o may_v likewife_n from_o thence_o find_v the_o length_n of_o the_o day_n and_o night_n for_o double_a the_o time_n of_o the_o sun_n rise_v and_o you_o have_v the_o length_n of_o the_o night_n and_o double_a the_o time_n of_o its_o set_n give_v you_o the_o length_n of_o the_o day_n as_o will_v appear_v by_o the_o three_o follow_a example_n example_n 1._o march_z the_o 10_o the_o sun_n rise_v at_o 6_o and_o set_v at_o 6_o now_o twice_o 6_o be_v twelve_o for_o the_o length_n both_o of_o day_n and_o night_n example_n 2._o april_n the_o 8_o the_o sun_n rise_v at_o 5_o and_o set_v at_o 7_o now_z twice_z 5_o be_v 10_o the_o length_n of_o the_o night_n and_o twice_o 7_o be_v 14_o the_o length_n of_o the_o day_n example_n 3._o october_n the_o 20_o the_o sun_n rise_v at_o a_o quarter_n after_o 7_o and_o set_v at_o 3_o quarter_n after_o 4_o now_o twice_o 7_o and_o a_o quarter_n be_v 14_o and_o a_o half_a for_o the_o length_n of_o the_o night_n and_o twice_o 4_o and_o 3_o quarter_n be_v 9_o and_o a_o half_a for_o the_o length_n of_o the_o day_n in_o all_o which_o example_n it_o appear_v that_o both_o the_o sum_n of_o the_o
night_n throughout_o the_o year_n be_v equal_a use_v i._n to_o get_v the_o sun_n declination_n by_o know_v first_o the_o day_n of_o the_o month_n explanation_n the_o sun_n move_v not_o always_o in_o the_o aequinoctial_a but_o decline_v from_o it_o sometime_o towards_o the_o north_n and_o sometime_o towards_o the_o south_n every_o day_n either_o move_n in_o it_o or_o in_o circle_n parallel_n to_o it_o this_o diversity_n of_o motion_n be_v call_v the_o sun_n declination_n now_o about_o the_o 10_o day_n of_o march_n and_o 13_o of_o september_n the_o sun_n course_n be_v in_o the_o aequinoctial_a and_o then_o he_o be_v say_v to_o have_v no_o declination_n and_o from_o the_o 10_o of_o march_n to_o the_o 13_o of_o september_n the_o sun_n move_v on_o the_o north_n side_n the_o aequinoctial_a and_o it_o call_v his_o northern_a declination_n also_o from_o the_o 13_o of_o september_n to_o the_o 10_o of_o march_n his_o motion_n be_v on_o the_o south_n side_n be_v call_v southern_a declination_n by_o this_o variety_n of_o the_o sun_n motion_n be_v cause_v the_o diversity_n of_o season_n and_o inequality_n of_o day_n and_o night_n note_v also_o that_o the_o great_a declination_n on_o either_o side_n exceed_v not_o 23_o degree_n and_o ½_o now_o to_o find_v it_o the_o rule_n be_v slide_v the_o cursor_n of_o the_o axis_n to_o the_o day_n the_o month_n and_o then_o turn_v it_o on_o the_o other_o side_n and_o the_o division_n cross_v the_o same_o hole_n will_v show_v the_o sun_n declination_n in_o the_o line_n d._n note_v that_o the_o axis_n may_v be_v turn_v without_o turn_v the_o whole_a dyal_n example_n 1._o march_z the_o 10_o i_o slide_v the_o cursor_n to_o the_o day_n of_o the_o month_n and_o turn_v the_o other_o side_n the_o division_n stand_v at_o o_o which_o show_v the_o sun_n have_v no_o declination_n that_o day_n but_o move_v in_o the_o aequinoctial_a example_n 2._o april_n the_o 8_o i_o slide_v the_o cursor_n to_o the_o day_n of_o the_o month_n and_o turn_v the_o otherside_n the_o division_n show_v 11_o degree_n to_o be_v the_o sun_n declination_n on_o that_o day_n northward_o example_n 3._o october_n the_o 20_o the_o cursor_n be_v set_v to_o the_o day_n on_o the_o other_o side_n it_o will_v show_v 14_o deg._n for_o the_o sun_n declination_n on_o that_o day_n to_o the_o southward_n use_v ii_o to_o find_v the_o sun_n altitude_n on_o the_o meridian_n and_o all_o hour_n explanation_n the_o altitude_n or_o height_n of_o the_o sun_n be_v the_o the_o number_n of_o deg_n contain_v between_o the_o middle_n or_o centre_n of_o the_o sun_n and_o the_o horizon_n or_o circle_n which_o bound_v our_o sight_n and_o the_o meridian_n altitude_n be_v its_o height_n every_o day_n just_a at_o 12_o a_o clock_n the_o sun_n at_o that_o time_n come_v to_o touch_v the_o meridian_n to_o find_v it_o the_o rule_n be_v when_o the_o sun_n shine_v slide_v the_o division_n on_o the_o cursor_n of_o the_o meridian_n to_o the_o begin_n of_o the_o degree_n in_o fig._n i._n mark_v with_o o_o then_o turn_v the_o dyal_n and_o stick_v a_o wire_n or_o pin_n upright_o in_o the_o hole_n h_n fig._n ii_o and_o hold_v it_o by_o the_o little_a ring_n turn_v it_o gentle_o towards_o the_o sun_n so_o that_o the_o shadow_n of_o the_o pin_n may_v fall_v among_o the_o degree_n in_o the_o quadrant_n of_o the_o altitude_n now_o the_o deg._n whereon_o the_o shadow_n fall_v be_v the_o sun_n altitude_n at_o that_o time_n but_o to_o know_v the_o meridian_n altitude_n you_o must_v observe_v the_o sun_n height_n just_a it_o 12_o now_o that_o you_o may_v be_v sure_a to_o have_v it_o right_o make_v several_a observation_n just_a about_o 12_o and_o the_o great_a be_v the_o true_a for_o as_o the_o sun_n all_o the_o morning_n from_o its_o rise_n grow_v high_a and_o high_a until_o it_o come_v to_o the_o meridian_n where_o it_o be_v high_a so_o have_v past_o the_o meridian_n all_o the_o afternoon_n it_o grow_v low_a and_o low_a until_o it_o set_v wherefore_o the_o sun_n great_a altitude_n on_o any_o day_n be_v the_o meridian_n altitude_n for_o that_o day_n example_n  _fw-fr  _fw-fr deg_n m._n march_v the_o 10_o the_o the_o sun_n meridianaltitude_n at_o londonwill_n be_v find_v by_o the_o forego_n rule_n to_o be_v 38_o 28_o april_n the_o 8_o the_o 49_o 28_o october_n the_o 20_o the_o 24_o 28_o june_n the_o 11_o the_o 61_o 58_o now_o before_o i_o proceed_v further_o to_o show_v the_o use_n it_o will_v be_v necessary_a to_o explain_v some_o term_n in_o astronomy_n such_o as_o i_o shall_v here_o make_v use_n of_o that_o the_o young_a practitioner_n may_v with_o more_o ease_n understand_v what_o follow_v 1._o degree_n and_o minute_n and_o first_o what_o be_v mean_v by_o degree_n and_o minute_n all_o circle_n according_a to_o astronomy_n be_v conceive_v to_o be_v divide_v into_o 360_o part_n which_o be_v call_v degree_n every_o degree_n be_v subdivide_v into_o 60_o minute_n every_o minute_n into_o 60_o second_o etc._n etc._n so_o that_o one_o degree_n be_v the_o three_o hundred_o and_o sixty_v part_n of_o a_o circle_n and_o one_o minute_n the_o 60th_o part_n of_o a_o degree_n etc._n etc._n now_o the_o whole_a circle_n contain_v 360_o degree_n the_o half_a must_v contain_v 180_o deg_n the_o quadrant_n or_o quarter_n part_n of_o a_o circle_n contain_v 90_o deg_n so_o likewise_o one_o deg_n contain_v 60_o minute_n 45_o min._n be_v 3_o quarter_n 30_o min._n be_v one_o half_a 20_o min._n one_o three_o part_n 15_o min._n be_v one_o quarter_n 12_o min._n be_v one_o 5_o part_n 10_o min._n be_v one_o 6_o part_n 5_o min._n be_v one_o 12_o part_n etc._n etc._n on_o the_o meridian_n of_o the_o dyal_n fig._n i._n there_o be_v two_o quadrant_n or_o twice_o 90_o deg._n graduate_v one_o of_o which_o next_o n_o p_o be_v call_v the_o northern_a quadrant_n of_o latitude_n and_o serve_v for_o those_o place_n who_o latitude_n be_v on_o the_o north_n side_n the_o aequinoctial_a the_o other_o be_v the_o southern_a quadrant_n and_o serve_v in_o south_n latitude_n 2._o meridian_n it_o be_v a_o great_a circle_n imagine_v in_o the_o heaven_n lie_v direct_o north_n and_o south_n divide_v they_o into_o two_o equal_a part_n the_o eastern_a and_o western_a pass_v through_o both_o pole_n and_o the_o zenith_n and_o nadir_n to_o this_o circle_n when_o the_o sun_n come_v at_o all_o time_n it_o be_v noon_n or_o midnight_n and_o note_n that_o every_o place_n have_v a_o several_a meridian_n except_o such_o as_o lie_v direct_o north_n and_o south_n one_o from_o the_o other_o 3._o pole_n the_o pole_n be_v two_o imagine_a point_n in_o the_o heaven_n opposite_a to_o each_o other_o one_o north_n the_o other_o south_n 4._o axis_n a_o right_a line_n imagine_v to_o run_v from_o one_o pole_n to_o the_o other_o be_v call_v the_o axis_n 5._o zenith_n the_o zenith_n or_o vertex_fw-la be_v the_o point_n in_o the_o heaven_n direct_o over_o our_o head_n 6._o nadir_n the_o nadir_n be_v the_o opposite_a point_n to_o the_o zenith_n it_o be_v direct_o under_o our_o foot_n 7._o equinoctial_a the_o equinoctial_a be_v a_o great_a circle_n imagine_v to_o run_v direct_o east_n and_o west_n it_o exact_o cross_v the_o meridian_n and_o lie_v in_o the_o middle_n between_o the_o pole_n and_o divide_v the_o heaven_n into_o two_o equal_a part_n the_o northern_a and_o southern_a when_o the_o sun_n move_v in_o this_o circle_n which_o be_v twice_o a_o year_n the_o day_n and_o night_n be_v of_o a_o equal_a length_n throughout_o the_o world_n 8._o tropic_n the_o tropic_n be_v two_o lesser_a circle_n divide_v the_o heaven_n into_o two_o unequal_a part_n they_o be_v parallel_v to_o the_o equinoctial_a and_o distant_a from_o it_o 23_o deg_n 30_o min._n one_o on_o the_o north_n side_n of_o it_o the_o other_o on_o the_o south_n these_o circle_n be_v the_o utmost_a bound_n of_o the_o sun_n declination_n 9_o latitude_n and_o eleva●●●●_n of_o the_o pole_n the_o latitude_n of_o any_o 〈◊〉_d be_v the_o number_n of_o degree_n contain_v between_o the_o zenith_n of_o that_o place_n and_o the_o aequinoctial_a which_o degree_n be_v count_v in_o the_o meridian_n either_o on_o the_o north_n or_o south_n side_n of_o the_o aequinoctial_a according_a as_o the_o place_n be_v situate_v this_o latitude_n be_v always_o equal_a to_o the_o elevation_n of_o the_o pole_n which_o be_v the_o number_n of_o degree_n in_o the_o meridian_n contain_v between_o the_o pole_n and_o the_o horizon_n thus_o those_o that_o live_v under_o the_o aequinoctial_a be_v say_v to_o have_v no_o latitude_n and_o those_o that_o live_v under_o the_o pole_n if_o any_o such_o there_o be_v be_v in_o 90_o deg._n of_o latitude_n hence_o also_o it_o be_v manifest_a that_o those_o place_n which_o be_v situate_a direct_o east_n and_o west_n one_o from_o the_o other_o