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end_n north_n south_n west_n 5,452 5 9.2249 5 true
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ID Title Author Corrected Date of Publication (TCP Date of Publication) STC Words Pages
A01089 The art of dialling by a new, easie, and most speedy way. Shewing, how to describe the houre-lines upon all sorts of plaines, howsoever, or in what latitude soever scituated: as also, to find the suns azimuth, whereby the sight of any plaine is examined. Performed by a quadrant, fitted with lines necessary to the purpose. Invented and published by Samuel Foster, professor of astronomie in Gresham Colledge. Foster, Samuel, d. 1652. 1638 (1638) STC 11201; ESTC S102472 16,930 55

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lesser_a the_o polar_a plain_n that_o decline_v before_o they_o can_v be_v describe_v must_v have_v their_o new-inclination_n know_v and_o then_o their_o delineation_n will_v be_v easy_a the_o manner_n of_o it_o may_v be_v see_v in_o this_o example_n suppose_v the_o upper_a face_n of_o a_o north-inclining_a plain_n lie_v in_o the_o latitude_n of_o 52_o gr_n 30_o min._n to_o decline_v from_o the_o south_n towards_o the_o east_n 68_o gr_n and_o to_o incline_v towards_o the_o north_n 73_o gr_n 57_o min._n you_o shall_v find_v by_o the_o nine_o chapter_n the_o prosthaph_n ark_n to_o be_v 52_o gr_n 30_o min._n the_o same_o with_o the_o latitude_n of_o the_o place_n and_o therefore_o you_o may_v conclude_v this_o plain_a to_o be_v polar_a by_o the_o same_o chapter_n you_o shall_v find_v the_o new_a inclination_n to_o be_v 63_o degree_n when_o you_o have_v these_o you_o may_v draw_v your_o semicircle_n ab4_n and_o divide_v it_o into_o 12_o equal_a part_n for_o the_o hour_n so_o sign_v the_o new-inclination_n 63_o degree_n from_o a_o to_o b_o draw_z cb_n and_o suppose_v the_o altitude_n of_o your_o style_n to_o be_v cd_o through_o d_o draw_v the_o perpendicular_a d_o 12_o and_o where_o the_o line_n draw_v from_o c_o through_o the_o division_n of_o the_o semicircle_n do_v cut_v the_o line_n d_o 12_o there_o raise_v perpendicular_o for_o the_o hour_n and_o so_o finish_v it_o up_o as_o the_o manner_n be_v the_o style_n lie_v direct_o over_o and_o parallel_v to_o the_o substyle_n cb_n &_o the_o distance_n of_o it_o from_o the_o plain_n be_v cd_o and_o in_o this_o example_n the_o substyle_n cb_n stand_v from_o the_o line_n of_o 12_o westward_o because_o the_o plain_n decline_v eastward_o according_a to_o the_o rule_n in_o the_o former_a chapter_n and_o so_o do_v the_o morning_n hour_n also_o for_o the_o place_n of_o the_o dial_n in_o a_o true_a site_n upon_o the_o plain_a you_o shall_v find_v by_o the_o answer_n to_o the_o 9_o quest._n in_o the_o former_a chapter_n that_o the_o meridian_n ascend_v 55_o gr_n 38_o min._n for_o other_o necessary_n the_o precept_n of_o the_o former_a chapter_n will_v direct_v you_o only_o observe_v that_o in_o upright_a east_n and_o west_n plain_a the_o line_n of_o 6_o be_v always_o the_o substyle_n and_o it_o ascend_v above_o the_o north_n end_n of_o the_o horizontall_a line_n as_o much_o as_o the_o latitude_n of_o the_o place_n come_v to_o finis_fw-la a_o appendix_n show_v a_o ready_a way_n to_o find_v out_o the_o latitude_n of_o any_o place_n by_o the_o sun_n because_o in_o the_o three_o chapter_n and_o quite_o through_o this_o treatise_n the_o latitude_n of_o the_o place_n be_v suppose_v to_o be_v know_v when_o as_o every_o one_o perhaps_o can_v tell_v which_o way_n to_o find_v it_o out_o i_o think_v good_a therefore_o to_o add_v this_o appendix_n as_o a_o ready_a help_n to_o show_v how_o it_o may_v be_v attain_v sufficient_o for_o our_o purpose_n know_v then_o that_o for_o the_o find_v out_o of_o the_o latitude_n of_o a_o place_n by_o the_o sun_n these_o thing_n be_v require_v 1._o to_o find_v the_o meridian_n line_n the_o ready_a way_n to_o find_v the_o meridian_n line_n be_v by_o the_o north-star_n this_o star_n be_v within_o 2_o degr_n 37_o min._n of_o the_o north-pole_n the_o north-pole_n lie_v very_o near_o between_o allioth_n or_o the_o root_n of_o the_o great_a bear_n tail_n and_o this_o star_n you_o may_v therefore_o imagine_v where_o the_o pole_n be_v if_o you_o conceive_v a_o right_a line_n draw_v from_o the_o polestar_n to_o allioth_n and_o by_o your_o imagination_n suppose_v ⅔_n part_n of_o the_o distance_n of_o the_o next_o star_n of_o the_o little_a bear_n tail_n from_o the_o polestar_n towards_o allioth_n for_o there_o be_v the_o very_a pole-point_n now_o than_o if_o you_o set_v up_o two_o pole_n aslope_o and_o from_o the_o top_n of_o they_o hang_v two_o cord_n with_o weight_n at_o the_o end_n of_o they_o and_o turn_v they_o till_o you_o stand_v on_o the_o southside_n of_o they_o may_v see_v they_o both_o together_o with_o the_o pole-point_n as_o it_o be_v all_o in_o one_o line_n then_o be_v sure_a these_o two_o cord_n do_v hang_v in_o the_o meridian_n line_n or_o very_o near_o it_o yea_o so_o near_o it_o that_o though_o you_o shall_v err_v 3_o degree_n herein_o wherein_o you_o need_v not_o to_o err_v one_o degree_n yet_o will_v not_o the_o meridian_n altitude_n in_o these_o climate_n especial_o more_o northward_o fail_v you_o above_o 3_o minute_n which_o be_v near_o enough_o to_o our_o purpose_n i_o have_v here_o give_v you_o the_o chief_a star_n of_o the_o great_a and_o little_a bear_n that_o by_o they_o you_o may_v come_v to_o know_v the_o star_n use_v in_o this_o observation_n and_o so_o find_v the_o very_a pole-point_n itself_o 2._o to_o find_v the_o sun_n meridian_n altitude_n observe_v diligent_o about_o noon_n when_o the_o shadow_n of_o the_o south_n cord_n shall_v fall_v upon_o the_o north_n cord_n for_o than_o be_v the_o sun_n in_o the_o meridian_n at_o that_o instant_n observe_v the_o sun_n altitude_n stedy_o and_o careful_o for_o that_o be_v the_o meridian_n and_o great_a altitude_n of_o the_o sun_n for_o that_o day_n 3._o to_o find_v the_o sun_n declination_n for_o this_o purpose_n the_o limb_n have_v the_o character_n of_o the_o 12_o sign_n fix_v to_o each_o 30_o degree_n and_o a_o scale_n of_o declination_n under_o the_o limb_n note_v with_o mn_n the_o scale_n be_v divide_v by_o this_o table_n for_o look_v what_o degr_n and_o min._n of_o the_o clepe_v do_v answer_n to_o the_o degr_n of_o declination_n in_o the_o table_n the_o same_o be_v to_o be_v number_v in_o the_o limb_n and_o by_o a_o ruler_n apply_v to_o they_o the_o degree_n of_o declination_n be_v draw_v upon_o the_o scale_n a_o table_n to_o make_v the_o scale_n for_o the_o declination_n of_o every_o part_n of_o the_o ecliptic_a degr._fw-la of_o decl_n deg._n of_o the_o ecl_n degr._fw-la of_o decl_n deg._n of_o the_o ecl_n degr._fw-la declin_n degr._fw-la clepe_v degr._fw-la declin_n degr._fw-la clepe_v degr._fw-la declin_n degr._fw-la clepe_v degr._fw-la declin_n degr._fw-la clepe_v 0.0_o 0.00_o 4.0_o 10.04_o 8.0_o 20.26_o 12.0_o 31.26_o 16.0_o 43.44_o 2.0_o 59.04_o 0.15_o 0.38_o 4.15_o 10.43_o 8.15_o 21.06_o 12.15_o 31.09_o 16.15_o 44.34_o 20.15_o 60.14_o 0.30_o 1.15_o 4.30_o 11.21_o 8.30_o 21.46_o 12.30_o 32.52_o 16.30_o 45.25_o 20.30_o 61.26_o 0.45_o 1.53_o 4.45_o 11.59_o 8.45_o 22.26_o 12.45_o 33.36_o 16.45_o 46.17_o 20.45_o 62.41_o 1.0_o 2.31_o 5.0_o 12.37_o 9.0_o 23.06_o 13.0_o 34.21_o 17.0_o 47.09_o 20.0_o 46.00_o 1.15_o 3.08_o 5.15_o 13.16_o 9.15_o 23.46_o 13.15_o 35.05_o 17.15_o 48.03_o 21.15_o 65.22_o 1.30_o 3.46_o 5.30_o 13.54_o 9.30_o 24.27_o 13.30_o 35.50_o 17.30_o 48.57_o 21.30_o 66.48_o 1.45_o 4.24_o 5.45_o 14.33_o 9.45_o 25.08_o 13.45_o 36.35_o 17.45_o 49.52_o 21.45_o 68_o ●●_o 2.0_o 5.01_o 6.0_o 15.12_o 10.0_o 25.49_o 14.0_o 37.21_o 18.0_o 50.48_o 22.0_o 69.58_o 2.15_o 5.39_o 6.15_o 15.51_o 10.15_o 26.30_o 14.15_o 38.07_o 18.15_o 51.45_o 22.15_o 71.44_o 2.30_o 6.16_o 6.30_o 16.30_o 10.30_o 27.12_o 14.30_o 38.54_o 18.30_o 52.43_o 22.30_o 73.41_o 2.45_o 6.55_o 6.45_o 17.08_o 10.45_o 27.53_o 14.45_o 39.41_o 18.45_o 53.43_o 22.45_o 75.53_o 3.0_o 7.33_o 7.0_o 17.48_o 11.0_o 28.36_o 15.0_o 40.28_o 19.0_o 54.44_o 23.0_o 78.30_o 3.15_o 8.10_o 7.15_o 18.27_o 11.15_o 29.17_o 15.15_o 41.16_o 19.15_o 55.47_o 23.15_o 81.52_o 3.30_o 8.48_o 7.30_o 19.6_o 11.30_o 30.00_o 15.30_o 42.05_o 19.30_o 56.50_o 23.30_o 90.00_o 3.45_o 9.26_o 7.45_o 19.46_o 11.45_o 30.43_o 15.45_o 42.54_o 19.45_o 57.56_o finis_fw-la before_o you_o can_v find_v the_o declination_n you_o must_v know_v the_o sun_n place_n and_o for_o such_o as_o know_v not_o the_o use_n of_o the_o astronomical_a table_n a_o almanac_n will_v serve_v where_o for_o every_o day_n at_o noon_n you_o shall_v find_v the_o sun_n place_n in_o sign_n degree_n and_o minute_n the_o degr_n and_o min._n must_v be_v number_v in_o their_o sign_n upon_o the_o limb_n and_o the_o thread_n apply_v thereto_o will_v show_v the_o declination_n answerable_a as_o for_o example_n september_n 21._o 1637_o in_o the_o almanac_n for_o this_o year_n the_o sun_n be_v find_v to_o be_v in_o 8_o gr_n 23_o min._n of_o ♎_o in_o the_o quadrant_n limb_n i_o look_v for_o the_o sign_n ♎_o and_o number_n there_o 8_o gr_n 23_o min._n whereto_o apply_v the_o thread_n i_o find_v it_o to_o cut_v in_o the_o scale_n of_o declination_n 3_o gr_n 20_o min._n 4._o by_o the_o meridian_n altitude_n and_o declination_n of_o the_o sun_n have_v how_o to_o find_v the_o latitude_n of_o the_o place_n or_o the_o elevation_n of_o the_o pole_n above_o the_o horizon_n compare_v the_o sun_n meridian_n altitude_n and_o declination_n together_o and_o if_o the_o sun_n be_v in_o a_o north_n sign_n as_o ♈_o ♉_o ♊_o ♋_o ♌_o ♍_o then_o subtract_v the_o declination_n out_o of_o the_o meridian_n altitude_n so_o shall_v the_o difference_n give_v you_o the_o height_n of_o the_o equinoctial_a but_o if_o the_o sun_n be_v in_o the_o south_n sign_n as_o ♎_o ♏_o ♐_o ♑_o ♒_o ♓_o then_o add_v the_o declination_n to_o the_o meridian_n altitude_n so_o shall_v the_o sum_n give_v you_o the_o height_n of_o the_o equinoctial_a which_o be_v take_v out_o of_o the_o quadrant_n or_o 90_o degree_n leave_v the_o latitude_n of_o your_o place_n or_o the_o elevation_n of_o the_o pole_n above_o your_o horizen_n for_o example_n upon_o the_o 21_o of_o september_n 1637._o i_o observe_v the_o sun_n altitude_n in_o the_o meridian_n to_o be_v 34_o gr_n 10_o min._n upon_o which_o day_n i_o find_v the_o sun_n place_n to_o be_v as_o before_o 8_o gr_n 23_o min._n of_o ♎_o and_o the_o declination_n 3_o gr_n 20_o min._n and_o because_o the_o sun_n be_v in_o a_o south_n sign_n i_o add_v this_o declination_n and_o meridian_n altitude_n together_o the_o sum_n 37_o gr_n 30_o min._n be_v the_o altitude_n of_o the_o aequator_fw-la and_o this_o take_v out_o of_o 90_o degree_n leave_v 52_o gr_n 30_o min._n for_o the_o latitude_n of_o coventrie_n