Selected quad for the lemma: day_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
day_n	half_a	hour_n	quarter_n	7,627	5	11.1436	5	true

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A93914	Horometria: or The compleat diallist. Wherein the whole mystery of the art of dialling is plainly taught three several wayes; two of which are performed geometrically by rule and compass onely: and the third instrumentally, by a quadrant fitted for that purpose. With the working of such propositions of the sphere, as are most usefull in astronomy and navigation ... By Thomas Stirrup, philomath. Whereunto is added an appendix, shewing how the parallels of declination; the Jewish, Babylonish, & Italian houres; the azimuths, almicanters, &c. may be easily inscribed on any dial whatsoever, by rule and compasse onely. And to draw a diall on the seeling of a room, by W. Leybourn. Also, Dialling Vniversal, performed by an easie and most speedy way, ... by certain scales set on a small portable ruler, by G.S. practitioner in the mathematicks.	Stirrup, Thomas.; Leybourn, William, 1626-1716. Appendix, shewing how the parallels of declination; the Jewish, Babylonish, & Italian hours; the asimuths, almicanters &c. may be easily inscribed on any dial whatsoever.; Serle, George. Dialling universal.	1658 (1658)	Wing S5689; Thomason E956_2; ESTC R207639	89,665	174

day_n you_o must_v seek_v what_o declination_n the_o sun_n have_v at_o such_o a_o length_n of_o the_o day_n as_o you_o will_v put_v into_o your_o plane_n which_o that_o you_o may_v do_v i_o have_v here_o add_v the_o rule_n follow_v ¶_o consider_v how_o much_o long_o or_o short_a your_o day_n propose_v be_v then_o 12_o hour_n and_o take_v the_o difference_n than_o the_o proportion_n will_v be_v as_o the_o sine_fw-la of_o 90_o deg_fw-la be_v to_o the_o sine_fw-la of_o half_a the_o difference_n so_o be_v the_o tangent_fw-la compliment_n of_o the_o latitude_n of_o the_o place_n to_o the_o tangent_fw-la of_o the_o declination_n that_o the_o sun_n shall_v have_v when_o the_o day_n be_v at_o such_o a_o length_n as_o you_o require_v as_o for_o example_n let_v it_o be_v require_v to_o know_v what_o declination_n the_o sun_n shall_v have_v when_o the_o day_n be_v 16_o hour_n long_o in_o the_o latitude_n of_o 52_o deg_fw-la 30_o min._n the_o difference_n betwixt_o 16_o hour_n and_o 12_o hour_n be_v 4_o hour_n or_o 60_o deg_fw-la the_o half_a of_o which_o be_v 30_o deg_fw-la therefore_o say_v as_o the_o sine_fw-la of_o 90_o deg_fw-la 10,000000_o be_v to_o the_o sine_fw-la of_o 30_o d._n which_o be_v half_a the_o difference_n 9,698970_o so_o the_o tangent_fw-la compliment_n of_o the_o latitude_n 37_o d._n 30._o m._n 9,884980_o to_o the_o tangent_fw-la of_o the_o declination_n of_o the_o sun_n 20_o d._n 59_o m._n 9,583950_o and_o such_o declination_n shall_v the_o sun_n have_v when_o the_o day_n be_v either_o 16_o hour_n or_o 8_o hour_n long_o in_o the_o latitude_n of_o 52_o deg_fw-la 30_o min._n now_o if_o the_o day_n be_v above_o 12_o hour_n long_o the_o sun_n have_v north_n declination_n but_o if_o less_o than_o 12_o hour_n long_o he_o have_v south_n declination_n for_o those_o who_o be_v ignorant_a of_o these_o kind_n of_o proportion_n they_o have_v best_a to_o read_v mr._n norwoods_n dctorine_n of_o triangle_n but_o that_o nothing_o may_v be_v want_v and_o not_o much_o to_o trouble_v the_o learuer_n i_o have_v here_o add_v a_o table_n show_v what_o declination_n the_o sun_n have_v at_o such_o time_n that_o the_o day_n be_v either_o 8_o 9_o 10_o 11_o 12_o 13_o 14_o 15_o or_o 16_o hour_n long_o in_o the_o latitude_n of_o 52_o d._n 30_o m._n which_o table_n be_v make_v by_o the_o precede_a rule_n length_n of_o the_o day_n the_o sun_n declination_n  _fw-fr d_o m_o 8_o 20_o 59_o 9_o 16_o 22_o 10_o 11_o 14_o 11_o 5_o 43_o 12_o 0_o 0_o 13_o 5_o 43_o 14_o 11_o 14_o 15_o 16_o 22_o 16_o 20_o 59_o by_o which_o table_n you_o may_v see_v that_o when_o the_o day_n be_v 12_o hour_n long_o the_o sun_n have_v then_o no_o declination_n but_o be_v in_o the_o equinoctial_a but_o when_o the_o day_n be_v either_o 11_o or_o 13_o hour_n long_o the_o declination_n be_v then_o 5_o deg_fw-la 43_o min._n and_o when_o one_o day_n be_v either_o 9_o or_o 15_o hour_n long_o the_o sun_n have_v 16_o deg_fw-la 22_o min._n of_o declination_n and_o so_o for_o the_o rest_n as_o in_o the_o table_n for_o the_o place_n of_o these_o parallel_n of_o the_o length_n of_o the_o day_n upon_o any_o of_o the_o forementioned_a plane_n you_o must_v insert_v these_o angle_n and_o declination_n unto_o your_o trigon_n between_o the_o tropic_n and_o proceed_v in_o all_o respect_n as_o before_o i_o will_v therefore_o give_v you_o but_o one_o example_n which_o shall_v be_v in_o a_o full_a south_n plane_n upon_o which_o and_o the_o horizontal_n these_o arch_n do_v appear_v most_o uniform_a now_o let_v it_o be_v require_v to_o draw_v the_o parallel_n of_o the_o sun_n course_n when_o the_o day_n be_v 8_o 9_o 10_o 11_o 12_o 13_o 14_o 15_o and_o 16_o hour_n long_o upon_o a_o full_a south_n plane_n in_o the_o latitude_n of_o 52_o deg_fw-la 30_o min._n have_v draw_v your_o dial_n with_o hour_n half_n and_o quarter_n and_o also_o make_v choice_n of_o some_o convenient_a point_n in_o the_o stile_n to_o give_v the_o shadow_n and_o draw_v the_o horizontal_a line_n c_o d_o then_o make_v the_o triangle_n s_o a_o r_o in_o this_o trigon_n equal_a to_o the_o triangle_n s_o a_o r_o in_o the_o follow_a south_n dial_n as_o s_n a_o equal_a to_o the_o axis_n of_o the_o stile_n a_o r_n equal_a to_o the_o substilar_a and_o r_o s_o equal_a to_o the_o perpendicular_a stile_n then_o draw_v the_o perpendicular_a s_o g_z for_o the_o equinoctial_a and_o describe_v the_o arch_n o_o g_o p_o making_z g_z o_o and_o g_o p_o each_o of_o they_o 23_o deg_fw-la 31_o min._n for_o the_o two_o tropic_n which_o you_o must_v transfer_v into_o your_o plane_n as_o before_o now_o for_o the_o draw_v of_o the_o parallel_n of_o the_o length_n of_o the_o day_n you_o must_v have_v recourse_n to_o the_o little_a table_n before_o go_v and_o therein_o see_v what_o declination_n the_o sun_n have_v at_o such_o a_o day_n as_o you_o will_v put_v into_o your_o plane_n as_o when_o the_o day_n be_v either_o 8_o or_o 16_o hour_n long_o the_o declination_n be_v 20_o deg_fw-la 59_o min._n therefore_o place_n in_o your_o trigon_n 20_o deg_fw-la 59_o m._n from_o g_z unto_o a_o both_o way_n and_o draw_v the_o line_n s_o a_fw-fr and_n s_o a_o mark_v they_o at_o the_o end_n with_o 8_o and_o 16_o the_o length_n of_o the_o day_n for_o which_o they_o serve_v likewise_o when_o the_o day_n be_v either_o 9_o or_o 15_o hour_n long_o than_o the_o sun_n declination_n be_v 16_o deg_fw-la 22_o min._n therefore_o set_v 16_o deg_fw-la 22_o min._n from_o g_z unto_z b_o both_o way_n and_o draw_v s_o b_o and_z 8_o b._n also_o when_o the_o day_n be_v either_o 10_o or_o 14_o hour_n long_o than_o the_o declination_n be_v 11_o deg_fw-la 14_o min_fw-mi which_z set_v from_o g_z to_z c_o both_o way_n and_o draw_v s_o c_o and_o s_o c._n last_o when_o the_o day_n be_v 11_o or_o 13_o hour_n long_o the_o declination_n be_v 5_o deg_fw-la 43_o min._n which_o set_v from_o g_z unto_z d_o both_o way_n and_o draw_v s_o d_o and_o s_o d_o note_v they_o with_o number_n answer_v to_o the_o length_n of_o the_o day_n as_o you_o see_v in_o the_o trigon_n when_o the_o day_n be_v just_a 12_o hour_n long_v it_o be_v equinoctial_a and_o have_v no_o declination_n and_o be_v signify_v in_o the_o trigon_n by_o the_o line_n s_o g._n for_o the_o manner_n how_o to_o transfer_v these_o parallel_n of_o the_o length_n of_o the_o day_n into_o the_o plane_n it_o be_v to_o be_v perform_v in_o all_o respect_v as_o in_o the_o former_a chapter_n for_o the_o insert_v of_o the_o sign_n not_o at_o all_o differ_v therefrom_o and_o therefore_o i_o shall_v forbear_v to_o give_v you_o any_o far_a instruction_n for_o the_o performance_n thereof_o but_o give_v you_o the_o figure_n of_o a_o south_n plane_n with_o these_o parallel_n draw_v thereon_o which_o will_v instruct_v more_o than_o a_o whole_a chapter_n of_o information_n and_o thus_o much_o for_o the_o draw_v of_o the_o parallel_n of_o the_o sign_n and_o diurnal_a arch_n in_o all_o kind_n of_o plane_n i_o will_v now_o proceed_v to_o show_v you_o how_o some_o other_o astronomical_a conclusion_n which_o be_v very_o please_v and_o delightful_a may_v be_v inscribe_v upon_o all_o sort_n of_o dial_n chap._n iii_o show_v how_o the_o italian_a and_o babylonish_n hour_n may_v be_v draw_v upon_o all_o kind_n of_o plane_n the_o italian_n account_v their_o hour_n from_o the_o sun_n set_v and_o the_o babylonian_n from_o his_o rise_n so_o that_o these_o kind_n of_o hour-line_n be_v draw_v upon_o any_o plane_n you_o know_v by_o inspection_n only_o how_o many_o hour_n be_v pass_v since_o the_o last_o set_n or_o rise_v of_o the_o sun_n the_o inscription_n of_o these_o hour-line_n into_o any_o of_o the_o former_a plane_n be_v very_o easy_a the_o work_n of_o the_o last_o chapter_n be_v well_o understand_v because_o that_o upon_o a_o full_a south_n or_o a_o horizontal_n plane_n these_o hour-line_n show_v themselves_o most_o uniform_a i_o have_v therefore_o for_o example_n sake_n make_v choice_n of_o a_o full_a south_n dial_n upon_o which_o it_o shall_v be_v show_v how_o to_o draw_v both_o the_o italian_a and_o babylonish_n hour_n your_o dial_n be_v draw_v and_o the_o two_o tropic_n and_o the_o equinoctial_a thereon_o inscribe_v and_o also_o the_o horizontal_n line_n you_o must_v draw_v in_o your_o dial_n two_o obscure_a parallel_n of_o the_o length_n of_o the_o day_n one_o when_o the_o day_n be_v 8_o hour_n and_o the_o other_o when_o the_o day_n be_v 16_o hour_n long_o express_v in_o the_o follow_a dial_n by_o the_o two_o prick_v arch_n near_o the_o two_o tropic_n the_o uppermost_a of_o which_o be_v the_o parallel_n of_o the_o sun_n course_n when_o the_o day_n be_v 8_o hour_n long_o and_o the_o

from_o l_o to_z m._n then_o take_v 577_o the_o natural_a tangent_fw-la of_o 30_o deg_fw-la and_o place_v it_o from_o l_o to_z n._n then_o take_v the_o whole_a line_n and_o set_v it_o from_o l_o to_z p._n last_o take_v 732_o part_n and_o set_v they_o from_o p_o to_o q_o so_o shall_v the_o point_n m_o n_n p_o &_o q_o be_v the_o point_n through_o which_o the_o hour_n of_o 1_o 2_o 3_o and_o 4_o must_v pass_v and_o the_o same_o work_n be_v do_v on_o the_o other_o side_n of_o the_o meridian_n you_o shall_v find_v point_n through_o which_o the_o hour_n of_o 11_o 10_o 9_o and_z 8_o shall_v pass_v the_o hour_n of_o 5_o in_o the_o morning_n and_o 7_o at_o night_n will_v seldom_o fall_v upon_o the_o plane_n except_o they_o be_v supply_v from_o east_n and_o west_n window_n now_o because_o the_o centre_n of_o the_o dial_n be_v without_o the_o room_n so_o that_o you_o can_v make_v use_n of_o that_o to_o draw_v the_o hour_n by_o you_o must_v therefore_o place_v one_o foot_n of_o your_o compass_n in_o the_o point_n l_o m_o n_o p_o and_o q_o with_o the_o other_o draw_v obscure_a arch_n of_o circle_n as_o *****_o and_o out_o of_o the_o last_o column_n of_o the_o former_a table_n take_v the_o compliment_n of_o every_o hour_n arch_a from_o the_o meridian_n and_o place_v they_o upon_o the_o respective_a hour_n arch_n from_o the_o equinoctial_a to_o the_o point_n *****_o as_o you_o see_v in_o the_o figure_n last_o if_o you_o draw_v the_o line_n *_o m_o *_o n_o *_o p_o *_o q_o they_o shall_v be_v the_o true_a hour_n upon_o the_o ceiling_n in_o the_o inscription_n of_o the_o azimuth_n in_o decline_a recline_a plane_n and_o in_o draw_v the_o circle_n of_o altitude_n in_o all_o kind_n of_o plane_n i_o confess_v i_o shall_v have_v be_v somewhat_o large_a in_o give_v you_o a_o example_n in_o each_o plane_n as_o i_o do_v with_o the_o other_o variety_n before_o but_o pre-supposing_a the_o ingenious_a practitioner_n sufficient_o to_o understand_v the_o precedent_n he_o can_v but_o with_o small_a 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present_v to_o thou_o as_o free_o as_o it_o be_v give_v from_o god_n who_o be_v the_o author_n and_o giver_n of_o all_o good_a thing_n the_o content_n term_n of_o geometry_n pag._n 1_o how_o to_o draw_v parallel_a line_n pag._n 7_o how_o to_o raise_v and_o let_v fall_v perpendicular_o pag._n 8_o 9_o stronomical_a definition_n pag._n 11_o of_o the_o circle_n of_o the_o sphere_n both_o great_a and_o small_a pag._n 13_o a_o table_n of_o the_o sun_n declination_n for_o four_o year_n pag._n 21_o the_o description_n of_o the_o scale_n for_o dial_v pag._n 29_o how_o to_o make_v a_o line_n of_o chord_n pag._n 31_o how_o to_o make_v a_o angle_n of_o any_o quantity_n of_o degree_n and_o minute_n pag._n 31_o how_o to_o find_v the_o sun_n altitude_n pag._n 32_o to_o find_v the_o length_n of_o right_n and_o contrary_a shadow_n pag._n 33_o to_o find_v the_o sun_n declination_n pag._n 35_o how_o to_o find_v the_o sun_n place_n pag._n 37_o to_o find_v the_o sun_n amplitude_n pag._n 38_o how_o to_o find_v the_o height_n of_o the_o pole_n pag._n 38_o how_o to_o find_v the_o sun_n amplitude_n pag._n 39_o how_o to_o find_v the_o sun_n declination_n pag._n 40_o to_o know_v at_o what_o time_n the_o sun_n shall_v be_v east_n or_o west_n pag._n 41_o how_o to_o find_v the_o height_n of_o the_o sun_n at_o the_o hour_n of_o six_o pag._n 43_o to_o find_v the_o azimuth_n at_o the_o hour_n of_o six_o pag._n 44_o to_o find_v the_o azimuth_n pag._n 44_o how_o to_o find_v the_o hour_n of_o the_o day_n pag._n 47_o how_o to_o find_v the_o ascensional_a difference_n pag._n 51_o how_o to_o find_v the_o right_n or_o oblique_a ascension_n pag._n 52_o how_o to_o find_v the_o sun_n altitude_n without_o instrument_n pag._n 53_o how_o to_o find_v the_o latitude_n of_o a_o place_n pag._n 54_o how_o to_o find_v the_o declination_n and_o inclination_n of_o any_o