Selected quad for the lemma: world_n

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

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

d_o the_o pole_n of_o the_o plain_a dpr_fw-la the_o declination_n dzn_n the_o compliment_n thereof_o nzc_a the_o triangle_n to_o be_v resolve_v pzr_n in_o which_o be_v give_v one_a pzr_o the_o compliment_n of_o the_o declination_n 34°_n 30′_n 2_o pz_n the_o compliment_n of_o the_o latitude_n 43°_n 48′_n 3_o prz_n the_o right_a angle_n thing_n require_v be_v 1_o st_z pr_n the_o elevation_n of_o the_o pole_n above_o the_o plain_a 2_o dly_z zr_o the_o distance_n of_o the_o substylar_n from_o the_o vertical_a or_o the_o angle_n make_v between_o the_o substylar_n and_o the_o meridian_n or_o line_n of_o 12_o h._n 3_o dly_z zpr_fw-la 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 of_o the_o place_n now_o these_o thing_n be_v thus_o find_v at_o one_o operation_n by_o this_o instrument_n 1_o st_o reckon_v from_o the_o aequinoctial_a towards_o the_o pole_n the_o compliment_n of_o the_o declination_n of_o your_o plain_n which_o in_o our_o example_n will_v be_v 34°_n 30′_n at_o that_o point_n place_n the_o horizontal_n ruler_n then_o from_o the_o centre_n of_o your_o instrument_n towards_o the_o limb_n reckon_v upon_o the_o horizontal_n ruler_n the_o side_n give_v pz_n the_o compliment_n of_o your_o latitude_n and_o the_o parallel_n there_o intersect_v be_v reckon_v from_o the_o aequinoctial_a shall_v be_v pr._n the_o elevation_n of_o the_o pole_n above_o your_o plain_n 2_o dly_z the_o instrument_n stand_v in_o the_o same_o situation_n count_v from_o the_o limb_n of_o your_o instrument_n towards_o the_o centre_n among_o the_o meridian_n the_o compliment_n of_o your_o latitude_n for_o the_o meridian_n there_o intersect_v the_o horizon_n shall_v upon_o the_o degree_n of_o the_o horizon_n give_v you_o zr_n the_o distance_n of_o the_o substylar_n from_o the_o meridian_n of_o the_o place_n 3_o the_o parallel_n of_o declination_n in_o the_o common_a intersection_n of_o the_o foresay_a meridian_n with_o the_o horizon_n be_v number_v from_o the_o pole_n of_o the_o world_n do_v give_v you_o the_o angle_n seek_v zpr_fw-la or_o the_o difference_n of_o longitude_n but_o because_o it_o may_v some_o time_n fall_v out_o that_o the_o say_a intersection_n will_v be_v more_o than_o 23°_n 30′_n and_o in_o little_a instrument_n the_o parallel_n not_o draw_v beyond_o the_o tropic_n which_o be_v 23°½_n from_o the_o aequinoctial_a in_o that_o case_n you_o may_v thus_o help_v yourself_o at_o the_o common_a intersection_n make_v a_o little_a spot_n of_o ink_n or_o red_a ochre_n with_o your_o pen_n and_o then_o put_v the_o horizon_n back_o to_o the_o term_n of_o the_o aequinoctial_a run_v the_o movable_a vertical_a to_o the_o say_a mark_n the_o degree_n of_o which_o shall_v show_v you_o the_o angle_n seek_v count_v from_o the_o pole_n of_o the_o world_n or_o otherwise_o place_v one_o foot_n of_o your_o compass_n in_o the_o say_a intersection_n and_o take_v the_o near_a distance_n between_o that_o and_o the_o aequinoctial_a which_o be_v apply_v over_o either_o in_o the_o limb_n or_o vertical_a shall_v give_v from_o the_o aequinoctial_a the_o angle_n require_v example_n in_o the_o latitude_n of_o 46°_n 12′_n a_o south_n plain_n decline_v from_o the_o north_n westward_o 55°_n 30′_n i_o place_v the_o finitor_n to_o 34_o degree_n 30_o minute_n upon_o the_o limb_n which_o be_v the_o compliment_n of_o my_o declination_n and_o be_v represent_v by_o the_o arch_n nc_fw-fr in_o the_o scheme_n equal_a to_o wd_n and_o from_o the_o centre_n reckon_v the_o compliment_n of_o the_o latitude_n for_o which_o the_o decline_a dial_n be_v make_v viz._n 43°_n 48′_n and_o there_o i_o find_v the_o parallel_n 23°_n 05′_n to_o meet_v or_o intersect_v 43°_n 28′_n which_o be_v pr._n the_o elevation_n of_o the_o pole_n above_o the_o plain_a 2_o dly_z in_o the_o same_o situation_n of_o the_o instrument_n reckon_v the_o compliment_n of_o my_o latitude_n among_o the_o meridian_n from_o 12_o of_o the_o clock_n or_o first_o meridian_n i_o find_v the_o 43°_n 48′_n meridian_n do_v cut_v the_o horizon_n in_o 38°_n 19′_n which_o be_v the_o distance_n of_o the_o substylar_n from_o the_o meridian_n of_o the_o place_n viz._n zr_n 3_o dly_z and_o last_o i_o find_v from_o the_o pole_n the_o 63°_n 37′_n parallel_n do_v pass_v through_o that_o meridian_n in_o its_o common_a intersection_n with_o the_o horizon_n or_o zpr_fw-la the_o difference_n of_o longitude_n these_o thing_n be_v thus_o find_v viz._n  _fw-fr °_o ′_o the_o elevation_n of_o the_o pole_n above_o the_o plain_a 23_o 05_o the_o angle_n of_o the_o substylar_n 38_o 19_o the_o difference_n of_o longitude_n 63_o 37._o the_o hour_n space_n be_v thus_o find_v by_o the_o difference_n of_o longitude_n you_o may_v know_v that_o the_o substylar_n fall_v four_o hour_n 3°_n 37′_n from_o the_o meridian_n place_n therefore_o to_o 3°_n 37′_n from_o the_o meridian_n the_o horizontal_n ruler_n upon_o the_o limb_n and_o then_o reckon_v from_o the_o centre_n among_o the_o meridian_n the_o elevation_n of_o the_o pole_n above_o your_o plain_n and_o look_v what_o parallel_n do_v intersect_v that_o meridian_n and_o the_o horizon_n for_o that_o count_v from_o the_o equinoctial_a be_v the_o angle_n between_o the_o substylar_n and_o the_o first_o hour_n towards_o the_o meridian_n which_o in_o our_o example_n will_v be_v find_v to_o be_v 1°_n 25′_n then_o remove_v the_o horizon_n 15°_n high_o that_o be_v to_o 18°_n 37′_n upon_o the_o limb_n and_o you_o shall_v find_v 7°_n 31′_n among_o the_o parallel_n intersect_v the_o horizon_n in_o the_o 23°_n 5′_n meridian_n and_o so_o forth_o for_o all_o the_o hour_n on_o that_o side_n of_o the_o substylar_n in_o like_a manner_n for_o the_o hour_n on_o the_o other_o side_n set_v the_o fini_fw-fr or_o to_o 11°_n 23′_n in_o the_o limb_n and_o you_o shall_v find_v the_o angle_n up●n_o the_o ●lain_n to_o be_v 4°_n 30′_n then_o remove_v it_o 15°_n high_o you_o shall_v fin_n 10°_n 58′_n and_o consequent_o the_o rest_n as_o they_o follow_v last_o because_o the_o plain_n be_v a_o south_n plain_a decline_a from_o south_n eastward_o that_o be_v from_o the_o north_n westward_o the_o style_n must_v be_v place_v among_o the_o morning_n hour_n on_o the_o western_a side_n and_o the_o dial_n will_v be_v as_o follow_v morning_n hour_n h._n °_o ′_o 8_o 1_o 25_o 9_o 7_o 15_o 10_o 14_o 35_o 11_o 23_o 57_o 12_o 18_o 19_o 1_o 62_o 48_o 7_o 4_o 30_o 6_o 10_o 38_o 5_o 19_o 01_o 4_o 30_o 28_o prob._n fourteen_o to_o draw_v the_o hour-line_n upon_o a_o recline_a plain_n who_o face_n look_v direct_o towards_o the_o north_n or_o south_n let_v a_o plain_n be_v give_v recline_v from_o the_o zenith_n towards_o the_o north_n 20°_n in_o the_o latitude_n of_o 49°_n 00′_n here_o i_o set_v the_o finitor_n to_o the_o latitude_n and_o the_o movable_a vertical_a to_o the_o degree_n of_o reclination_n reckon_v from_o the_o zenith_n towards_o that_o pole_n towards_o which_o the_o reclination_n be_v as_o in_o our_o example_n of_o 20°_n reclination_n towards_o the_o north_n pole_n the_o meridian_n there_o intersect_v denote_v the_o horary_a angle_n and_o the_o degree_n between_o the_o pole_n and_o the_o vertical_a that_o be_v to_o say_v in_o our_o example_n 22°_n 00′_n be_v the_o elevation_n of_o the_o pole_n above_o the_o plain_a this_o be_v very_o little_a different_a from_o the_o way_n of_o make_v a_o upright_a vertical_a dial_n and_o therefore_o need_v no_o example_n prob._n xv._o in_o any_o spherical_a triangle_n whatever_o have_v two_o side_n give_v with_o the_o angle_n comprehend_v to_o find_v the_o rest_n in_o the_o forego_n triangle_n bac_n let_v basilius_n be_v 60_o ac_fw-la 50_o and_o the_o angle_n bac_n 30._o reckon_v on_o the_o limb_n from_o the_o aequator_fw-la towards_o the_o north_n pole_n and_o on_o that_o side_n of_o your_o instrument_n that_o be_v on_o your_o right_a hand_n one_o of_o the_o side_n give_v viz._n ac_fw-la 50°_n and_o there_o place_v the_o horizontal_n ruler_n and_o then_o among_o the_o parallel_n from_o the_o north_n count_v the_o other_o side_n ab_fw-la 60°_n and_o among_o the_o meridian_n from_o the_o left_a hand_n there_o count_v the_o angle_n give_v viz._n 30°_n bac_n &_o at_o the_o common_a intersection_n of_o that_o meridian_n with_o the_o parallel_n place_v the_o movable_a vertical_a this_o be_v do_v apply_v the_o horizontal_n ruler_n over_o in_o the_o term_n of_o the_o aequinoctial_a so_o shall_v the_o degree_n in_o the_o vertical_a which_o be_v before_o observe_v viz._n 26½_n in_o the_o common_a intersection_n of_o the_o meridian_n with_o the_o parallel_n give_v you_o among_o the_o parallel_n reckon_v from_o the_o pole_n the_o base_a 26°½_n and_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 leave_v you_o shall_v find_v the_o angle_n c._n 103._o now_o for_o the_o angle_n b_o