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book_n line_n page_n read_v 9,933 5 9.6901 5 true
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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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length_n of_o the_o day_n and_o night_n be_v add_v together_o will_v make_v 24_o the_o hour_n contain_v in_o a_o natural_a day_n use_v vi._n to_o find_v what_o day_n and_o night_n throughout_o the_o year_n be_v equal_a the_o rule_n the_o day_n on_o one_o side_n the_o slit_n be_v equal_a to_o the_o day_n on_o the_o other_o example_n slide_v the_o cursor_n to_o march_v the_o 10_o and_o the_o day_n equal_a to_o it_o will_v be_v find_v on_o the_o other_o side_n sept._n the_o 13_o so_o equal_a to_o april_n the_o 8_o be_v august_n the_o 14._o and_o the_o day_n equal_a to_o the_o 20_o of_o october_n be_v february_n the_o second_o now_o these_o day_n be_v say_v to_o be_v equal_a each_o to_o the_o other_o in_o these_o respect_n 1._o in_o respect_n of_o the_o sun_n declination_n it_o be_v on_o both_o the_o same_o 2._o of_o the_o sun_n altitude_n for_o what_o altitude_n the_o sun_n have_v on_o any_o hour_n on_o one_o the_o same_o will_v be_v its_o altitude_n on_o the_o same_o hour_n on_o the_o 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centre_n of_o the_o circle_n where_o the_o wire_n stand_v draw_v a_o line_n and_o it_o shall_v be_v a_o true_a meridian-line_n this_o last_o conclusion_n may_v be_v do_v with_o more_o ease_n if_o there_o be_v several_a circle_n describe_v one_o within_o another_o on_o the_o same_o centre_n also_o than_o you_o may_v make_v several_a observation_n for_o the_o do_v it_o with_o more_o certainty_n 4._o the_o meridian_n may_v be_v find_v by_o the_o help_n of_o a_o good_a magnetical_a needle_n well_o make_v and_o fit_v to_o a_o square_a box_n if_o in_o the_o use_v of_o it_o there_o be_v a_o allowance_n make_v for_o the_o variation_n the_o use_n of_o which_o be_v so_o plain_a even_o to_o those_o that_o have_v but_o see_v they_o that_o i_o think_v it_o needless_a here_o to_o treat_v of_o i_o shall_v set_v down_o only_o two_o way_n more_o which_o will_v require_v more_o knowledge_n in_o the_o mathematics_n than_o any_o of_o the_o former_a and_o so_o conclude_v the_o first_o be_v in_o dary_n misscellany_n page_n 22_o thus_o 1._o let_v a_o piece_n of_o metal_n or_o wood_n be_v make_v a_o true_a plain_n then_o in_o some_o convenient_a point_n thereof_o take_v as_o a_o centre_n erect_v a_o gnomon_n of_o sufficient_a length_n at_o right_a angle_n to_o the_o plain_a this_o do_v fix_v the_o plain_a true_o horizontal_n second_o if_o you_o take_v the_o sun_n co-altitude_n that_o be_v his_o distance_n from_o the_o zenith_n 3_o several_a time_n in_o one_o day_n and_o according_a to_o the_o stereographick_a projection_n have_v a_o line_n of_o tangent_n by_o you_o set_v off_o from_o the_o centre_n of_o your_o plain_a or_o foot_n of_o the_o gnomon_n the_o tangent_fw-la of_o half_a each_o arch_n upon_o his_o respective_a azimuth_n or_o shadow_n continue_v if_o need_v be_v make_v by_o the_o gnomon_n at_o that_o instant_a when_o the_o co-altitude_n be_v take_v so_o shall_v you_o insert_v three_o point_n upon_o the_o plain_a three_o if_o you_o find_v out_o the_o centre_n to_o those_o 3_o insert_v point_n than_o a_o right_a line_n infinite_o extend_v by_o this_o centre_n find_v and_o the_o foot_n of_o the_o gnomon_n or_o the_o centre_n of_o the_o plain_a be_v the_o true_a meridian_n line_n 2._o the_o other_o way_n be_v by_o the_o help_n of_o the_o sun_n azimuth_n and_o it_o be_v hint_v in_o most_o book_n of_o dyall_v thus_o 1._o your_o plain_a be_v prepare_v as_o before_o hold_v up_o a_o string_n and_o plummet_n so_o that_o the_o shadow_n of_o the_o string_n may_v fall_v a_o cross_a a_o assign_a point_n in_o the_o plain_a and_o in_o the_o same_o line_n of_o shadow_n make_v another_o point_n at_o a_o convenient_a distance_n from_o the_o first_o then_o through_o these_o two_o point_n draw_v a_o right_a line_n second_o at_o the_o same_o instant_n get_v the_o sun_n azimuth_n or_o horizontal_n distance_n from_o the_o south_n part_n of_o the_o meridian_n and_o have_v a_o line_n of_o chord_n by_o you_o set_v off_o the_o angle_n of_o the_o azimuth_n from_o the_o assign_a 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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