Selected quad for the lemma: day_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
day_n	rise_v	set_v	sun_n	12,892	5	7.7156	4	true

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A64061	The use of the general planisphere, called the analemma, in the resolution of some of the chief and most useful problems of astronomy by Dr. John Twysden.	Twysden, John, 1607-1688.; Palmer, John, 1612-1679. Planetary instrument.; Foster, Samuel, d. 1652. Description and use of the nocturnal.	1685 (1685)	Wing T3548; ESTC R38385	23,514	55

latitude_n seek_v be_v reckon_v from_o the_o centre_n or_o east_n point_n in_o the_o instrument_n so_o in_o the_o latitude_n of_o 49_o i_o find_v the_o ortive_a latitude_n about_o 38_o in_o the_o tropic_a of_o cancer_n 2_o dly_z the_o meridian_n there_o pass_v show_v the_o sun_n be_v rise_v to_o be_v very_o near_o four_o in_o the_o morning_n and_o 3_o dly_a the_o semidiurnal_a arch_n to_o be_v 8_o hour_n and_o so_o the_o long_a day_n there_o 16_o hour_n prob._n v._o the_o same_o thing_n be_v give_v to_o find_v the_o ascensional_a difference_n the_o horizon_n as_o before_o be_v set_v to_o the_o latitude_n count_v from_o the_o centre_n to_o the_o meridian_n that_o cut_v it_o in_o the_o sun_n place_n for_o that_o day_n that_o be_v to_o say_v in_o the_o sun_n parallel_n for_o the_o place_n of_o the_o eccliptick_a give_v so_o shall_v you_o find_v the_o ascensional_a difference_n for_o the_o begin_n of_o ♉_o in_o the_o foresay_a latitude_n of_o 49°_n to_o be_v 13°_n 32′_n prob._n vi_o to_o find_v the_o oblique_a ascension_n first_o find_v the_o right_a ascension_n by_o the_o three_o problem_n and_o the_o ascensional_a difference_n by_o the_o precede_a one_o in_o northern_a sign_n subduct_v the_o ascensional_a difference_n out_o of_o the_o right_a ascension_n but_o in_o southern_a sign_n add_v it_o so_o shall_v the_o sum_n or_o difference_n give_v you_o the_o oblique_a ascension_n require_v so_o in_o the_o begin_n of_o ♉_o i_o find_v the_o sun_n be_v right_a ascension_n 27_o 54_o and_o in_o the_o latitude_n of_o 49°_n 00′_n his_o ascentional_a difference_n 13°_n 32′_n their_o difference_n be_v 14°_n 22′_n which_o be_v the_o oblique_a ascension_n for_o the_o begin_n of_o ♉_o so_o the_o oblique_a ascension_n for_o the_o begin_n of_o ♏_o will_v be_v find_v 221°_n 26′_n by_o add_v 13°_n 32′_n to_o 207°_n 54′_n the_o right_a ascension_n before_o find_v prob._n vii_o to_o find_v the_o oblique_a ascension_n of_o any_o other_o point_n in_o the_o ecliptic_a not_o reckon_v from_o the_o aequinoctial_a point_n by_o which_o you_o may_v know_v whether_o the_o say_a sign_n do_v ascend_v right_o or_o oblique_o by_o the_o precede_a problem_n find_v the_o oblique_a ascension_n for_o the_o beginning_n and_o end_n of_o ♉_o or_o any_o other_o arch_n propound_v then_o subduct_v the_o lesser_a out_o of_o the_o great_a the_o residue_n be_v the_o oblique_a ascension_n require_v so_o in_o the_o latitude_n of_o 49°_n 00′_n i_o desire_v to_o know_v what_o degree_n of_o the_o aequinoctial_a do_v in_o a_o oblique_a sphere_n ascend_v between_o the_o beginning_n and_o end_n of_o ♉_o i_o find_v the_o oblique_a ascension_n for_o the_o begin_n of_o ♉_o to_o be_z 14°_n 22′_n and_o of_o the_o latter_a end_n 32°_n 45′_n their_o difference_n be_v 18°_n 23′_n the_o oblique_a ascension_n require_v where_o note_n because_o the_o remain_a sum_n be_v in_o the_o example_n less_o than_o the_o give_v arch_n the_o say_a sign_n do_v ascend_v oblique_o contrary_o if_o it_o have_v be_v great_a prob._n viii_o to_z sind_z the_o hour_n of_o the_o day_n the_o altitude_n of_o the_o sun_n be_v first_o observe_v set_a the_o ruler_n to_o the_o latitude_n and_o remove_v the_o vertical_a till_o it_o cross_v the_o sun_n parallel_n in_o the_o altitude_n observe_v the_o meridian_n there_o pass_v show_v the_o hour_n of_o the_o day_n so_o in_o the_o begin_n of_o ♉_o in_o the_o latitude_n of_o 52°_n 00′_n i_o observe_v the_o ☉_o altitude_n 27°_n 18′_n and_o the_o 60_o the_o meridian_n do_v cross_v the_o sun_n parallel_n in_o that_o altitude_n therefore_o it_o be_v then_o eight_o of_o the_o clock_n in_o the_o morning_n thus_o also_o may_v you_o make_v a_o table_n of_o altitude_n for_o every_o hour_n of_o the_o day_n by_o remove_v the_o vertical_a from_o hour_n to_o hour_n and_o observe_v the_o degree_n of_o altitude_n cut_v off_o by_o the_o several_a meridian_n prob._n ix_o to_o find_v what_o degree_n of_o the_o ecliptic_a be_v in_o the_o meridian_n at_o any_o hour_n give_v find_v the_o right_a ascension_n by_o the_o three_o problem_n then_o turn_v the_o hour_n give_v from_o the_o meridian_n into_o degree_n and_o minute_n of_o the_o aequinoctial_a add_v unto_o these_o the_o right_a ascension_n find_v then_o examine_v what_o point_n in_o the_o ecliptic_a do_v answer_v to_o those_o degree_n of_o right_a ascension_n which_o be_v do_v by_o follow_v the_o meridian_n which_o show_v the_o right_a ascension_n up_o to_o the_o ecliptic_a for_o that_o part_n of_o the_o ecliptic_a be_v in_o the_o meridian_n so_o in_o the_o begin_n of_o ♉_o and_o at_o the_o hour_n of_o nine_o in_o the_o morning_n i_o find_v the_o right_a ascension_n 27°_n 54′_n the_o hour_n from_o the_o meridian_n last_o past_o 21°_n 00′_n in_o degree_n 315°_n to_o which_o i_o add_v 27°_n 54′_n it_o make_v 342°_n 54′_n which_o be_v the_o right_a ascension_n for_o the_o 11_o the_o degree_n of_o ♓_o or_o near_o which_o be_v the_o degree_n of_o the_o ecliptic_a then_o in_o the_o meridian_n which_o will_v be_v ♓_o 11°_n 30′_n prob._n x._o to_o find_v the_o sun_n azimuth_n at_o any_o altitude_n give_v place_v the_o finitor_n to_o your_o latitude_n and_o remove_v the_o vertical_a till_o it_o intersect_v the_o sun_n parallel_n in_o the_o altitude_n give_v then_o apply_v it_o over_o in_o the_o aequinoctial-line_n the_o meridian_n which_o intersect_v the_o vertical_a in_o the_o give_v altitude_n show_v the_o sun_n azimuth_n or_o distance_n from_o the_o south_n or_o east_n as_o you_o shall_v please_v to_o account_v it_o so_o in_o the_o latitude_n of_o 48°_n 50′_n the_o sun_n altitude_n be_v 31°_n 40′_n in_o the_o tropic_a of_n ♋_o then_o move_v the_o vertical_a till_o it_o cross_v the_o parallel_n of_o ♋_o in_o that_o altitude_n i_o there_o find_v it_o and_o then_o move_v the_o horizon_n over_o in_o the_o term_n of_o the_o aequinoctial_a i_o find_v that_o 88°_n 2′_n meridian_n do_v cross_v the_o vertical_a in_o the_o altitude_n give_v which_o be_v the_o azimuth_n from_o the_o south_n here_o you_o be_v to_o take_v notice_n that_o those_o which_o be_v before_o meridian_n be_v now_o become_v vertical_a circle_n in_o this_o manner_n of_o work_v prob._n xi_o to_o make_v a_o horizontal_n dial_n set_a the_o horizon_n or_o finitor_n to_o the_o latitude_n of_o that_o place_n for_o which_o you_o desire_v to_o make_v your_o dial_n and_o then_o observe_v the_o several_a angle_n make_v by_o the_o meridian_n upon_o the_o horizon_n which_o express_v upon_o your_o plain_n and_o let_v your_o style_n make_v a_o angle_n equal_a to_o the_o latitude_n of_o your_o place_n for_o which_o you_o make_v your_o dial._n this_o need_v no_o example_n prob._n xii_o to_o make_v a_o upright_o vertical_a dial_n set_a the_o ruler_n to_o your_o latitude_n and_o the_o movable_a vertical_a in_o the_o centre_n of_o your_o instrument_n then_o observe_v the_o several_a angle_n make_v between_o the_o 12_o of_o clock_n line_n and_o the_o other_o meridian_n not_o upon_o the_o horizon_n as_o you_o do_v before_o but_o upon_o the_o vertical_a and_o those_o shall_v be_v the_o hour_n space_n require_v so_o in_o the_o latitude_n of_o 49°_n the_o angle_n of_o 11_o will_v be_v 9°_n 57′_n and_o also_o for_o 1_o 20°_n 44′_n for_o 10_o h._n and_o 2_o h._n 33°_n 16′_n for_o 9_o h._n and_o 3_o h._n and_o so_o the_o rest_n prob._n xiii_o to_o make_v a_o upright_o decline_a dial_n for_o the_o place_n the_o style_n and_o draw_v the_o hour-line_n there_o must_v necessary_o be_v resolve_v a_o sperical_a rect-angled_n triangle_n in_o which_o there_o will_v be_v give_v beside_o the_o right_a angle_n the_o compliment_n of_o your_o plain_n declination_n which_o i_o always_o count_v from_o the_o pole_n of_o the_o plain_a to_o the_o north_n or_o south_n point_n and_o three_o the_o compliment_n of_o your_o latitude_n by_o help_n whereof_o you_o may_v find_v one_a the_o elevation_n of_o the_o pole_n above_o the_o plain_a 2_o the_o distance_n of_o the_o substyler_n from_o the_o vertical_a in_o your_o plain_n and_o three_o the_o difference_n of_o longitude_n or_o the_o angle_n comprehend_v between_o the_o meridian_n of_o the_o plain_a and_o meridian_n of_o the_o place_n all_o which_o will_v be_v make_v plain_a by_o the_o figure_n follow_v in_o which_o the_o scheme_n follow_v represent_v a_o south_n plain_a decline_a from_o the_o north_n westward_o 55°_n 30′_n in_o the_o north_n latitude_n 46°_n 12′_n the_o latitude_n be_v 46°_n 12′_n let_v enw_n be_v the_o horizon_n of_o the_o place_n and_o the_o letter_n as_o they_o be_v in_o their_o order_n mark_v the_o east_n north_n and_o west_n and_o south_n point_v let_v then_o a_o plain_a bc_n be_v give_v the_o pole_n whereof_o will_v be_v d_o the_o meridian_n of_o the_o plain_n which_o pass_v always_o through_o p_o the_o pole_n of_o the_o world_n and_o

so_o contrive_v this_o instrument_n that_o by_o make_v two_o little_a square_a hole_n in_o the_o movable_a plate_n the_o first_o show_v you_o in_o what_o sign_n the_o star_n be_v which_o be_v absolute_o necessary_a to_o be_v know_v to_o judge_v of_o the_o distance_n between_o the_o ☉_o and_z the_o star_n as_o you_o have_v be_v teach_v before_o and_o the_o second_o show_v the_o magnitude_n of_o the_o star_n to_o know_v at_o any_o time_n propose_v what_o point_v of_o the_o eccliptick_a be_v in_o the_o meridian_n suppose_v the_o ☉_o to_o be_v in_o the_o begin_n of_o ♉_o i_o desire_v to_o know_v what_o degree_n of_o the_o eccliptick_a shall_v be_v in_o the_o meridian_n at_o 15′_n past_o five_o in_o the_o afternoon_n i_o lay_v the_o hour_n give_v to_o the_o sun_n place_n and_o then_o i_o find_v over_o against_o the_o 12_o a_o clock_n line_n of_o the_o aequinoctial_a 15°_n 20′_n of_o ♋_o and_o that_o be_v the_o degree_n that_o be_v then_o in_o the_o meridian_n to_o know_v when_o any_o of_o the_o planet_n shall_v come_v to_o the_o meridian_n the_o planet_n because_o of_o their_o continual_a change_n of_o place_n can_v be_v set_v fix_v in_o this_o nocturnal_a nevertheless_o if_o at_o any_o time_n you_o desire_v to_o know_v their_o time_n of_o come_v to_o the_o meridian_n you_o must_v look_v in_o some_o ephemeris_fw-la for_o the_o place_n of_o the_o planet_n and_o according_a as_o you_o find_v it_o set_v it_o with_o black-lead_a on_o your_o instrument_n which_o if_o it_o be_v in_o brass_n shall_v be_v easy_o put_v out_o the_o planet_n thus_o set_v shall_v be_v as_o a_o fix_a star_n and_o its_o time_n of_o come_v to_o the_o meridian_n find_v out_o as_o that_o of_o any_o of_o the_o fix_a star_n but_o note_v that_o if_o it_o be_v the_o moon_n that_o you_o observe_v you_o must_v allow_v about_o a_o degree_n for_o every_o two_o hour_n pass_v since_o noon_n and_o thus_o you_o shall_v have_v her_o true_a place_n for_o the_o ephemeris_fw-la give_v you_o her_o place_n only_o at_o noon_n for_o example_n when_o will_v the_o moon_n come_v to_o the_o meridian_n on_o january_n the_o 1_o st_z 1684_o 5_o the_o ☉_o be_v then_o in_o ♑_o 22°_n 5′_n and_o the_o moon_n in_o ♈_o 10°_n 12′_n now_o place_v ●…e_a moon_n on_o my_o instrument_n in_o ♈_o 10°_n 12′_n i_o find_v that_o the_o moon_n shall_v come_v to_o the_o meridian_n at_o a_o little_a past_o 5_o in_o the_o afternoon_n and_o because_o there_o be_v five_o hour_n pass_v since_o noon_n i_o must_v for_o these_o five_o hour_n allow_v two_o degree_n and_o a_o half_a to_o the_o moon_n be_v place_n and_o so_o set_v it_o to_o ♈_o 13°_n 00′_n which_o be_v do_v i_o shall_v find_v the_o moon_n be_v true_a hour_n of_o come_v to_o the_o meridian_n and_o that_o be_v at_o about_o 5_o h._n 15′_n past_o five_o in_o the_o afternoon_n hitherto_o be_v the_o instrument_n general_a to_o all_o those_o that_o live_v on_o this_o side_n the_o aequioctial_a and_o may_v serve_v to_o any_o intelligent_a man_n that_o shall_v have_v south_n declination_n but_o beside_o i_o have_v make_v two_o little_a window_n in_o the_o movable_a plate_n but_o the_o figure_n of_o they_o be_v calculate_v for_o the_o meridian_n of_o london_n or_o any_o other_o place_n that_o be_v under_o the_o same_o latitude_n of_o 51°_n 30′_n the_o first_o window_n show_v the_o semi-nocturnal_a arch_n of_o the_o star_n in_o hour_n and_o minute_n and_o the_o use_v of_o it_o be_v to_o know_v the_o time_n of_o the_o star_n rise_v and_o set_v as_o also_o how_o long_o it_o continue_v above_o the_o horizon_n first_o for_o the_o rise_n take_v the_o semi-nocturnal_a arch_n from_o the_o time_n of_o the_o star_n come_v to_o the_o meridian_n and_o the_o remainder_n give_v you_o the_o time_n of_o the_o star_n rise_v so_o the_o ☉_o being_n in_o the_o begin_n of_o ♊_o the_o spike_n of_o the_o virgin_n come_v to_o the_o meridian_n at_o 9_o h._n 18′_n after_o noon_n from_o which_o take_v the_o star_n 5_o 11_o semi-nocturnal_a arch_n there_o remain_v 4_o 07_o which_o be_v the_o time_n of_o the_o star_n rise_v in_o the_o afternoon_n second_o for_o the_o set_v add_v the_o semi-nocturnal_a arch_n to_o the_o time_n of_o come_v to_o the_o meridian_n and_o the_o sum_n give_v the_o time_n of_o the_o star_n set_v so_o on_o the_o same_o day_n the_o ☉_o being_n in_o the_o begin_n of_o ♊_o the_o spike_n of_o the_o virgin_n come_v to_o the_o meridian_n at_o 9_o h._n 18′_n if_o you_o add_v to_o it_o the_o star_n semi-nocturnal_a arch_n 5_o 11′_n the_o sum_n be_v 14_o h._n 29′_n past_o noon_n or_o 2_o h._n 29′_n past_o midnight_n three_o for_o the_o time_n of_o the_o star_n be_v above_o the_o horizon_n double_v the_o semi-nocturnal_a arch_n and_o the_o sum_n be_v the_o time_n of_o the_o star_n be_v above_o the_o horizon_n the_o other_o window_n show_v the_o star_n amplitude_n in_o degree_n and_o minute_n which_o be_v count_v f●…_n the_o east_n towards_o the_o north_n when_o the_o star_n declination_n be_v north_n and_o from_o the_o east_n to_o south_n when_o the_o declination_n be_v south_n where_o note_n that_o the_o star_n set_v at_o the_o same_o distance_n from_o the_o west_n that_o they_o rise_v from_o the_o east_n this_o instrument_n be_v first_o invent_v by_o mr._n samuel_n foster_n and_o give_v to_o i_o draw_v upon_o pasteboard_n by_o his_o own_o hand_n which_o be_v still_o in_o my_o power_n but_o the_o addition_n to_o it_o be_v put_v in_o by_o a_o ingenious_a gentleman_n of_o the_o french_a nation_n and_o by_o he_o draw_v in_o brass_n which_o i_o receive_v from_o he_o and_o will_v keep_v for_o his_o sake_n the_o follow_a table_n be_v make_v to_o insert_v all_o the_o star_n express_v there_o according_a to_o their_o right_a ascension_n which_o be_v fourfold_o as_o great_a as_o the_o true_a be_v the_o nature_n of_o the_o instrument_n require_v it_o to_o be_v so_o because_o the_o aequinoctial_a which_o shall_v be_v divide_v into_o twenty_o four_o hour_n be_v divide_v but_o into_o six_o hour_n a_o table_n  _fw-fr a._n r._n as_o rec._n 4._o decli_n semi-diurnal_a arch._n amplit_v  _fw-fr °_o ′_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr h._n mi._n  _fw-fr  _fw-fr lucid._n comae_fw-la beren_n ♎_o 182_o 45_o 731_o 00_o 30_o 06_o 8_o 48_o 53_o 30_o lucid._n lyrae_fw-la ♑_o 276_o 42_o 1106_o 48_o 38_o 32_o 24_o 00_o 00_o 00_o syrius_n 98_o 00_o 392_o 00_o 16_o 15_o 4_o 33_o 26_o 43_o vindemiatrix_fw-la ♎_o 191_o 53_o 767_o 32_o 2_o 35_o 7_o 05_o 20_o 30_o spica_fw-la virgin_n ♎_o 197_o 23_o 789_o 32_o 9_o 33_o 5_o 11_o 15_o 27_o procyon_n ♋_o 110_o 57_o 443_o 48_o 6_o 00_o 6_o 30_o 9_o 40_o aquila_n ♑_o 294_o 06_o 1176_o 24_o 8_o 07_o 6_o 41_o 13_o 07_o luc._n cap._n ariety_n ♈_o 27_o 38_o 110_o 32_o 22_o 03_o 8_o 04_o 37_o 05_o arcturus_n ♏_o 210_o 34_o 842_o 16_o 20_o 49_o 7_o 55_o 34_o 49_o cauda_fw-la delphin_n ♒_o 304_o 30_o 1218_o 00_o 10_o 14_o 6_o 54_o 16_o 35_o austra_fw-la lanx_fw-la ♎_o ♏_o 218_o 37_o 874_o 28_o 14_o 45_o 7_o 17_o 24_o 09_o cap._n medus_n ♉_o 42_o 15_o 169_o 00_o 39_o 47_o 12_o 00_o 00_o 00_o bo._n lanx_fw-la ♎_o ♏_o 225_o 16_o 901_o 04_o 8_o 14_o 5_o 18_o 13_o 18_o luc._n hydr._n ♌_o 138_o 16_o 553_o 04_o 7_o 22_o 5_o 22_o 11_o 53_o luc._n pleiad_n ♉_o 52_o 26_o 209_o 44_o 23_o 10_o 8_o 11_o 39_o 12_o luc._n coron_n sep._n ♏_o 230_o 31_o 922_o 4_o 27_o 45_o 8_o 46_o 48_o 25_o os_fw-la pega_fw-la ♒_o 322_o 28_o 1289_o 52_o 8_o 31_o 6_o 44_o 13_o 46_o med._n nox_fw-la col_fw-fr serp_n ♏_o 232_o 27_o 929_o 48_o 7_o 25_o 6_o 38_o 11_o 52_o bo._n fron._n scor._n ♏_o 237_o 02_o 948_o 08_o 18_o 57_o 4_o 18_o 31_o 27_o antare_n ♐_o cor_fw-la ♏_o 242_o 50_o 971_o 20_o 25_o 42_o 3_o 30_o 44_o 00_o cor_fw-la leonis_fw-la ♌_o 148_o 08_o 592_o 32_o 13_o 02_o 7_o 08_o 21_o 15_o luc._n colli_fw-la leonis_fw-la ♌_o 150_o 51_o 603_o 24_o 21_o 21_o 7_o 58_o 35_o 48_o luc._n colli_fw-la peg._n ♑_o 336_o 30_o 1346_o 00_o 09_o 10_o 6_o 47_o 14_o 50_o in_o basi_fw-la crater_n ♍_o 161_o 10_o 644_o 40_o 16_o 33_o 4_o 32_o 27_o 14_o marchab_n pega_n ♓_o 342_o 30_o 1370_o 00_o 13_o 37_o 7_o 11_o 22_o 13_o rigel_n ♎_o 75_o 07_o 300_o 28_o 8_o 33_o 5_o 16_o 13_o 49_o sin_n hum._n orion_n ♊_o 77_o 17_o 309_o 08_o 6_o 03_o 6_o 31_o 9_o 45_o ce_a orion_n ♊_o 80_o 18_o 321_o 12_o 1_o 24_o 5_o 54_o 2_o 15_o caput_fw-la ophiuci_fw-la 260_o 16_o 1041_o 04_o 12_o 49_o 7_o 06_o 20_o 52_o cauda_fw-la leonis_fw-la ♍_o 173_o 28_o 693_o 52_o 16_o 13_o 7_o 26_o 26_o 39_o seq_n hum._n orion_n ♊_o 84_o 48_o 339_o 12_o 7_o

count_v ab_fw-la 60°_n in_o the_o limb_n and_o there_o place_v the_o horizon_n and_o count_v the_o side_n ac_fw-la 50°_n among_o the_o parallel_n and_o among_o the_o meridian_n towards_o the_o right_a hand_n count_v the_o angle_n give_v 30°_n and_o apply_v the_o vertical_a to_o the_o common_a intersection_n then_o apply_v the_o horizon_n as_o before_o over_o in_o the_o aequinoctial_a so_o among_o the_o meridian_n from_o the_o utmost_a on_o the_o right_a hand_n towards_o the_o left_a you_o shall_v in_o the_o common_a intersection_n find_v the_o angle_n unknown_a b_o 59½_n so_n have_v you_o now_o in_o your_o triangle_n the_o three_o side_n and_o two_o angle_n the_o three_o angle_n may_v be_v find_v either_o by_o let_v fall_v a_o perpendicular_a or_o continuation_n of_o the_o side_n to_o a_o semicircle_n prob._n xvi_o to_o find_v when_o the_o twilight_n begin_v and_o end_n the_o twilight_n in_o the_o morning_n begin_v when_o the_o sun_n be_v distant_a 18_o degree_n from_o the_o horizon_n &_o continue_v till_o it_o rise_v and_o at_o night_n begin_v at_o sun_n set_v and_o continue_v till_o he_o be_v 18_o degree_n below_o the_o horizon_n and_o the●_n darkness_n begin_v to_o find_v this_o you_o must_v know_v the_o place_n of_o the_o sun_n and_o his_o declination_n the_o sun_n place_n may_v be_v know_v by_o most_o almanac_n or_o by_o a_o scale_n which_o may_v be_v annex_v to_o any_o convenient_a place_n in_o the_o instrument_n the_o 2_o d._n to_o wit_n the_o ☉_o his_o declination_n be_v find_v by_o the_o first_o problem_n example_n first_o if_o the_o ☉_o be_v in_o the_o aequinoctial_a he_o have_v no_o declination_n if_o you_o therefore_o place_v the_o finitor_n to_o the_o latitude_n of_o your_o place_n move_v your_o vertical_a till_o the_o 18_o the_o degree_n thereof_o cross_v the_o aequinoctial_a and_o mark_v what_o meridian_n that_o be_v count_v from_o the_o centre_n of_o your_o planisphere_n which_o in_o the_o latitude_n of_o 52_o degree_n you_o will_v find_v to_o be_v the_o 30_o the_o meridian_n so_o that_o you_o may_v conclude_v the_o twilight_n begin_v two_o hour_n before_o ☉_o rise_n and_o at_o night_n end_v two_o hour_n after_o ☉_o set._n but_o if_o the_o ☉_o haué_fw-fr declination_n you_o must_v observe_v that_o meridian_n which_o cross_v the_o 18_o the_o degree_n of_o the_o vertical_a in_o the_o parallel_n of_o declination_n example_n suppose_v the_o ☉_o to_o be_v in_o ♊_o 00°_n 00′_n in_o the_o latitude_n of_o 52°_n 00′_n when_o the_o ☉_o hath_z 20°_n of_o declination_n and_o observe_v the_o intersection_n make_v by_o the_o 18_o the_o degree_n of_o the_o vertical_a and_o the_o 20_o the_o parallel_v of_o declination_n and_o there_o you_o may_v observe_v the_o 33_o meridian_n or_o thereabouts_o from_o ☉_o rising_n pass_v which_o show_v the_o twilight_n will_v then_o end_v to_o wit_n 2_o hour_n and_o 12′_n before_o the_o ☉_o shall_v rise_v but_o at_o this_o time_n you_o will_v find_v the_o ☉_o be_v up_z which_o teach_v you_o there_o be_v then_o no_o twilight_n at_o all_o so_o in_o the_o winter_n the_o ☉_o set_v so_o much_o before_o 8_o h._n that_o it_o will_v not_o come_v to_o be_v 18_o degree_n below_o the_o horizon_n till_o ☉_o rise_n and_o will_v continue_v so_o till_o the_o ☉_o comes_z back_z to_z ♌_o the_fw-mi will_v be_v no_o dark_a time_n in_o that_o latitude_n if_o the_o sky_n be_v not_o cloudy_a prob._n xvii_o of_o spherical_a rect-angled_n triangle_n in_o all_o their_o variety_n i_o have_v in_o the_o three_o and_o forth_o problem_n forego_v show_v you_o the_o solution_n of_o some_o question_n wherein_o the_o triangle_n have_v be_v rect-angled_n and_o spherical_a i_o shall_v now_o handle_v the_o use_n of_o they_o more_o full_o and_o show_v you_o how_o three_o part_n that_o be_v two_o beside_o the_o rectangle_n which_o be_v always_o know_v be_v give_v the_o other_o part_v seek_v either_o side_n or_o angle_n may_v be_v by_o this_o planisphere_n many_o way_n conclude_v as_o will_v appear_v in_o practice_n 1._o in_o the_o scheme_n  _fw-fr °_o ′_o  _fw-fr bc_n 60_o 00_o data_fw-la ba_z 57_o 48_o rad._n  _fw-fr  _fw-fr 2_o or_o  _fw-fr °_o ′_o  _fw-fr bc_n 60_o 00_o data_fw-la ca_n 20_o 12_o rad._n  _fw-fr  _fw-fr the_o data_fw-la in_o the_o triangle_n in_o our_o follow_a geniture_n be_v 3°_n 00′_n ☉_o long._n 1½_n ☉_o declin_n with_o the_o rect._n and_o the_o angle_n at_o c_o will_v be_v find_v 66°_n 32′_n which_o will_v be_v demonstrate_v by_o the_o scheme_n nº_n 4._o the_o proportion_n in_o trigonometry_n be_v thus_o bc_n rad._n basilius_n c_o scheme_n 1_o or_o ca._n scheme_n 2._o pc_n rad._n pd.c._n that_o be_v as_o the_o cousin_n of_o the_o declination_n give_v be_v to_o the_o radius_fw-la so_o be_v the_o cousin_n of_o the_o great_a declination_n to_o the_o angle_n seek_v in_o the_o triangle_n bac_n rect-angled_n at_o a_o the_o longitude_n bc_n be_v 60°_n 00′_n the_o right_a ascension_n may_v be_v find_v by_o problem_n 3_o d._n 57.48_o and_o the_o angle_n at_o b_o 23°_n 30′_n now_o to_o find_v the_o declination_n do_v thus_o choose_v out_o the_o 57°_n 48′_n meridian_n and_o then_o move_v the_o horizontal_n ruler_n till_o the_o 60_o the_o degree_n from_o the_o centre_n meet_v the_o 57°_n 48′_n meridian_n which_o you_o will_v find_v will_v be_v 20°_n 12′_n the_o declination_n seek_v if_o you_o count_v the_o parallel_n from_o the_o aequinoctial_a till_o the_o intersection_n be_v make_v in_o the_o 57°_n and_o 48′_n meridian_n or_o if_o you_o have_v the_o declination_n give_v bring_v down_o the_o horizontal_n ruler_n to_o the_o aequinoctial_a and_o you_o will_v find_v the_o 57°_n 48′_n of_o the_o ruler_n will_v be_v cut_v by_o the_o 57°_n 48′_n meridian_n though_o i_o have_v a_o very_a low_a opinion_n of_o astrology_n especial_o as_o our_o genethliacall-man_n or_o rather_o fortune-teller_n use_v it_o yet_o that_o i_o may_v show_v the_o excellent_a use_n of_o this_o planisphere_n and_o because_o it_o may_v be_v useful_a to_o know_v the_o figure_n of_o the_o heaven_n in_o eclipse_n and_o the_o ingress_n of_o the_o sun_n into_o the_o aequinoctial_a point_n i_o shall_v now_o show_v you_o how_o to_o place_v the_o 12_o house_n with_o the_o sign_n to_o they_o belong_v in_o this_o i_o shall_v take_v for_o example_n ageniture_n long_o since_o past_a and_o not_o agreeable_a to_o any_o example_n before_o give_v that_o by_o variety_n of_o operations_n the_o reader_n may_v better_o comprehend_v the_o use_n of_o the_o instrument_n prob._n xviii_o how_o to_o erect_v a_o figure_n of_o the_o heaven_n first_o for_o the_o time_n propound_v you_o must_v first_o find_v the_o sun_n place_n that_o be_v in_o what_o degree_n of_o the_o ecliptic_a the_o sun_n be_v in_o at_o the_o time_n propose_v and_o afterward_o in_o the_o follow_a example_n i_o shall_v teach_v you_o to_o find_v the_o medium-coeli_a or_o that_o degree_n of_o the_o ecliptic_a that_o be_v in_o the_o meridian_n example_n suppose_v a_o geniture_n to_o be_v upon_o the_o nine_o day_n of_o december_n at_o six_o of_o the_o clock_n in_o the_o evening_n in_o the_o year_n 1571._o the_o place_n of_o the_o sun_n be_v then_o find_v 27°_n 17′_n of_o ♐_o and_o his_o right_a ascension_n will_v be_v find_v 267°_n add_v to_o this_o 90°_n which_o be_v six_o hour_n after_o noon_n in_o the_o degree_n of_o the_o aequinoctial_a which_o will_v give_v you_o the_o right_a ascension_n of_o the_o mid-heaven_n viz._n 357°_n to_o which_o will_v answer_v 27°_n or_o rather_o 26°_n 46′_n ♓_o for_o the_o medium-coeli_a and_o his_o opposite_a 27°_n or_o 26°_n 46′_n of_o ♍_o for_o the_o imum-coeli_a so_o you_o have_v the_o 10_o and_o four_o house_n find_v your_o next_o work_n will_v be_v to_o find_v the_o degree_n of_o the_o ecliptic_a which_o will_v be_v in_o the_o ascendant_n for_o the_o latitude_n lat._n 53°_n 00′_n of_o the_o place_n of_o birth_n now_o by_o add_v 90°_n to_o the_o right_a ascension_n of_o the_o mid-heaven_n you_o will_v have_v the_o oblique_a ascension_n of_o the_o ascendant_n in_o our_o example_n the_o right_a ascension_n of_o the_o mid-heaven_n be_v 357°_n to_o which_o by_o add_v 90_o the_o sum_n will_v be_v 447_o out_o of_o which_o take_v 360_o the_o residue_n will_v be_v 87°_n which_o be_v the_o oblique_a ascension_n of_o the_o ascendant_n now_o to_o know_v to_o what_o degree_n of_o the_o eccliptick_a this_o belong_v must_v be_v know_v by_o a_o table_n of_o oblique_a ascension_n fit_v to_o your_o latitude_n which_o you_o may_v make_v by_o the_o five_o and_o six_o problem_n but_o it_o be_v better_a to_o take_v it_o out_o of_o the_o table_n at_o the_o end_n of_o this_o treatise_n where_o the_o oblique_a ascension_n may_v be_v find_v for_o every_o degree_n of_o the_o eccliptick_a for_o several_a latitude_n by_o which_o you_o may_v see_v that_o in_o 53°_n of_o