Selected quad for the lemma: world_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
world_n	circle_n	point_n	pole_n	2,440	5	11.6304	5	false

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A93913	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 compasse 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 astronomie and navigation, both geometrically and instrumentally. / By Thomas Stirrup, philomath. Whereunto is added an appendix, shewing now the parallels of declination; the Jewish, Babylonish, and Italian houres; the azimuths, almicanters, &c. may be easily inscribed on any diall whatsoever, by rule and compasse onely. Also how to draw a diall on the seeling of a room, by W.L.	Stirrup, Thomas.; W. L.	1652 (1652)	Wing S5688; Thomason E667_1; ESTC R203655	83,318	192

line_n c_o e_o which_o be_v the_o perpendicular_a which_o be_v desire_v to_o be_v let_v fall_n from_o the_o give_v point_n c_o unto_o the_o middle_n of_o the_o give_v line_n d_o e_o f._n chap._n vi_o to_o raise_v a_o perpendicular_a upon_o the_o end_n of_o a_o line_n give_v suppose_v the_o line_n whereupon_o you_o will_v have_v a_o perpendicular_a to_o be_v raise_v be_v the_o line_n b_o c_o &_o from_o the_o point_n b_o a_o perpendicular_a be_v to_o be_v raise_v first_o open_v your_o compass_n unto_o any_o convenient_a distance_n which_o here_o we_o suppose_v to_o be_v the_o distance_n b_o e_o and_o set_v one_o foot_n of_o your_o compass_n in_o b_o with_o the_o other_o draw_v the_o arch_n ed_z than_o this_o distance_n be_v keep_v set_v one_o foot_n of_o your_o compass_n in_o the_o point_n e_o and_o with_o the_o other_o make_v a_o mark_n in_o the_o former_a arch_n e_o d_o as_o at_z d_o still_o keep_v the_o same_o distance_n set_v one_o foot_n in_o the_o point_n d_o and_o with_o the_o other_o draw_v the_o arch_a line_n f_o over_o the_o give_v point_n b_o now_o lay_v a_o ruler_n upon_o the_o two_o point_n e_z and_z d_o see_v where_o it_o cross_v the_o arch_a line_n f_o which_o will_v be_v at_o f_o from_o which_o point_n f_o draw_v the_o line_n f_o b_o which_o shall_v be_v a_o perpendicular_a line_n unto_o the_o give_v line_n b_o c_o raise_v from_o the_o end_n b_o as_o be_v require_v chap._n vii_o to_o let_v a_o perpendicular_a fall_n from_o a_o point_n assign_v unto_o the_o end_n of_o a_o line_n give_v let_v the_o line_n d_o e_o be_v give_v unto_o which_o it_o be_v require_v to_o let_v a_o perpendicular_a fall_n from_o the_o assign_a point_n a_o unto_o the_o end_n d._n first_o from_o the_o assign_a point_n a_o draw_v a_o line_n unto_o any_o part_n of_o the_o give_v line_n d_o e_o which_o may_v be_v the_o line_n a_o b_o c_o then_o find_v the_o middle_n of_o the_o line_n a_o c_o which_o will_v be_v at_o b_o place_z therefore_o one_o foot_n of_o your_o compass_n in_o the_o point_n b_o and_o extend_v the_o other_o unto_o a_o or_o c_o with_o which_o distance_n draw_v the_o semicircle_n a_o d_o c_o so_fw-mi shall_v it_o cut_v the_o give_v line_n d_o e_o in_o the_o point_n d_o from_o which_o point_n d_o draw_v the_o line_n a_o d_o which_o shall_v be_v the_o perpendicular_a let_v fall_v from_o the_o assign_a point_n a_o unto_o the_o end_n d_o of_o the_o give_a line_n d_o e_o as_o be_v require_v chap._n viii_o certain_a definition_n astronomical_a meet_a to_o be_v understand_v of_o the_o unlearned_a before_o the_o proceed_n in_o this_o art_n of_o dial_v in_o the_o former_a chapter_n i_o have_v show_v the_o meaning_n of_o some_o term_n of_o geometry_n which_o be_v most_o helpful_a unto_o this_o art_n of_o dial_v with_o the_o draw_n of_o a_o parallel_a line_n at_o any_o distance_n or_o by_o a_o point_n assign_v so_o likewise_o have_v i_o show_v the_o manner_n either_o how_o to_o raise_v or_o let_v fall_v a_o perpendicular_a either_o from_o or_o unto_o any_o part_n of_o a_o line_n give_v so_o likewise_o now_o i_o think_v it_o will_v not_o be_v unnecessary_a for_o to_o show_v unto_o the_o unlearned_a the_o meaning_n of_o some_o of_o the_o most_o useful_a term_n in_o astronomy_n and_o most_o fit_v this_o art_n of_o dial_v definition_n 1._o a_o sphere_n be_v a_o certain_a solid_a superficies_n in_o who_o middle_a be_v a_o point_n from_o which_o all_o line_n draw_v unto_o the_o circumference_n be_v equal_a which_o point_n be_v the_o centre_n of_o the_o sphere_n definition_n 2._o the_o pole_n be_v a_o prick_n or_o point_n imagine_v in_o the_o heaven_n whereof_o be_v two_o the_o north_n pole_n be_v the_o centre_n to_o a_o circle_n describe_v by_o the_o motion_n of_o the_o north_n star_n or_o the_o tale_n of_o the_o little_a bear_n from_o which_o point_n aforesaid_a be_v a_o line_n imagine_v to_o pass_v through_o the_o centre_n of_o the_o sphere_n and_o pass_v direct_o to_o the_o opposite_a part_n of_o the_o heaven_n show_v there_o to_o be_v the_o south_n pole_n and_o this_o line_n so_o imagine_v to_o pass_v from_o one_o pole_n to_o the_o other_o through_o the_o centre_n of_o the_o sphere_n be_v call_v the_o axletree_n of_o the_o world_n because_o it_o have_v be_v former_o suppose_v that_o the_o sun_n moon_n and_o star_n together_o with_o the_o whole_a heaven_n have_v be_v turn_v about_o from_o east_n to_o west_n once_o round_o in_o 24_o hour_n by_o a_o true_a equal_a course_n like_a much_o in_o like_a time_n which_o diurnal_a revolution_n be_v perform_v about_o this_o axletree_n of_o the_o world_n and_o this_o axletree_n be_v set_v out_o unto_o you_o in_o the_o follow_a figure_n by_o the_o line_n p_o a_o d_o the_o pole_n whereof_o be_v p_o and_o d._n definition_n 3._o a_o sphere_n accidental_o be_v divide_v into_o two_o part_n that_o be_v to_o say_v into_o a_o right_a sphere_n and_o a_o oblique_a sphere_n a_o right_a sphere_n be_v only_o unto_o those_o that_o dwell_v under_o the_o equinoctial_a to_o who_o neither_o of_o the_o pole_n of_o the_o world_n be_v see_v but_o lie_v hide_v in_o the_o horizon_n a_o oblique_a sphere_n be_v unto_o those_o that_o inhabit_v on_o either_o side_n of_o the_o equinoctial_a unto_o who_o one_o of_o the_o pole_n be_v ever_o see_v and_o the_o orhe_a hide_v under_o the_o horizon_n definition_n 4._o the_o circle_n whereof_o the_o sphere_n be_v compose_v be_v divide_v into_o two_o sort_n that_o be_v to_o say_v into_o great_a circle_n and_o lesser_a the_o great_a circle_n be_v those_o that_o divide_v the_o sphere_n into_o two_o equal_a part_n and_o they_o be_v in_o number_n six_o viz._n the_o equinoctial_a the_o ecliptic_a line_n the_o two_o colour_n the_o meridian_n and_o the_o horizon_n the_o lesser_a circle_n be_v such_o as_o divide_v the_o sphere_n into_o two_o part_n unequal_o and_o they_o be_v four_o in_o number_n as_o the_o tropic_a of_o cancer_n the_o tropic_a of_o capricorn_n the_o circle_n arctic_a and_o the_o circle_n antartique_n chap._n ix_o of_o the_o six_o great_a circle_n definition_n 5._o the_o equinoctial_a be_v a_o circle_n that_o cross_v the_o pole_n of_o the_o world_n at_o right_a angle_n and_o divide_v the_o sphere_n into_o two_o equal_a part_n and_o be_v call_v the_o equinoctial_a because_o when_o the_o sun_n come_v unto_o it_o which_o be_v twice_o in_o the_o year_n viz._n at_o the_o sun_n entrance_n into_o aries_n and_o libra_n it_o make_v the_o day_n &_o night_n of_o equal_a length_n throughout_o the_o whole_a world_n and_o in_o the_o figure_n follow_v be_v describe_v by_o the_o line_n s_o a_o n._n definition_n 6._o the_o meridian_n be_v a_o great_a circle_n pass_v through_o the_o pole_n of_o the_o world_n and_o the_o pole_n of_o the_o horizon_n or_o zenith_n point_v right_a over_o our_o head_n and_o be_v so_o call_v because_o that_o in_o any_o time_n of_o the_o year_n or_o in_o any_o place_n of_o the_o world_n when_o the_o sun_n by_o the_o motion_n of_o the_o heaven_n come_v unto_o that_o circle_n it_o be_v then_o noon_n or_o 12_o of_o the_o clock_n and_o it_o be_v to_o be_v understand_v that_o all_o town_n and_o place_n that_o lie_v east_n and_o west_n one_o of_o another_o have_v every_o one_o a_o several_a meridian_n but_o all_o place_n that_o lie_v north_n and_o south_n one_o of_o another_o have_v one_o and_o the_o same_o meridian_n this_o circle_n be_v declare_v in_o the_o figure_n follow_v by_o the_o circle_n e_o b_o w_n c._n definition_n 7._o the_o horizon_n be_v a_o circle_n divide_v the_o superior_a hemisphere_n from_o the_o inferior_a whereupon_o it_o be_v call_v horizon_n that_o be_v to_o say_v the_o bound_n of_o sight_n or_o the_o far_a distance_n that_o the_o eye_n can_v see_v and_o be_v set_v forth_o unto_o you_o by_o the_o line_n c_o a_o b_o in_o the_o follow_a figure_n definition_n 8._o colour_n be_v two_o great_a circle_n pass_v through_o both_o the_o pole_n of_o the_o world_n cross_v one_o the_o other_o in_o the_o say_a pole_n at_o right_a angle_n and_o divide_v the_o equinoctial_a and_o the_o zodiaque_fw-la into_o four_o equal_a part_n make_v thereby_o the_o four_o season_n of_o the_o year_n the_o one_o colour_n pass_v through_o the_o two_o tropical_a point_n of_o cancer_n and_o capricorn_n show_v the_o beginning_n of_o summer_n &_o also_o of_o winter_n at_o which_o time_n the_o day_n and_o night_n be_v long_a and_o short_a the_o other_o colour_n pass_v through_o the_o equinoctial_a point_n aries_n and_o libra_n show_v the_o beginning_n of_o the_o spring_n time_n and_o autumn_n at_o which_o two_o time_n the_o day_n and_o night_n be_v of_o equal_a length_n throughout_o the_o whole_a world_n definition_n 9_o the_o ecliptic_a

be_v a_o great_a circle_n also_o divide_v the_o equinoctial_a into_o two_o equal_a part_n by_o the_o head_n of_o aries_n and_o libra_n the_o one_o half_a thereof_o do_v decline_v unto_o the_o northward_o and_o the_o other_o towards_o the_o south_n the_o great_a declination_n thereof_o according_a to_o the_o observation_n of_o that_o late_a famous_a mathematician_n master_n edward_n wright_n be_v 23_o degree_n 31_o minute_n 30_o second_n note_v also_o that_o this_o circle_n be_v divide_v into_o 12_o equal_a part_n which_o part_n be_v attribute_v unto_o the_o 12_o sign_n aries_n taurus_n gemini_fw-la cancer_n leo_n virgo_fw-la libra_n scorpio_n sagitarius_n capricornus_fw-la aquarius_n and_o pisces_fw-la out_o of_o this_o line_n do_v the_o sun_n never_o move_v but_o the_o moon_n and_o other_o planet_n be_v sometime_o on_o the_o one_o side_n and_o sometime_o on_o the_o other_o side_n thereof_o this_o line_n may_v be_v represent_v in_o the_o follow_a figure_n by_o that_o line_n whereon_o the_o character_n of_o the_o 12_o sign_n stand_v chap._n x._o of_o the_o four_o lesser_a circle_n definition_n 10._o the_o sun_n have_v ascend_v unto_o his_o high_a solsticiall_a point_n do_v describe_v a_o circle_n which_o be_v the_o near_a that_o he_o can_v approach_v unto_o the_o north_n pole_n whereupon_o it_o be_v call_v the_o circle_n of_o the_o summer_n solstice_n or_o the_o tropic_a of_o cancer_n &_o be_v note_v in_o the_o figure_n follow_v by_o the_o line_n ♋_o fg._n definition_n 11._o the_o sun_n also_o approach_v unto_o the_o first_o scruple_n of_o capricorn_n or_o the_o winter_n solstice_n describe_v another_o circle_n which_o be_v the_o utmost_a bound_n that_o the_o sun_n can_v depart_v from_o the_o equinoctial_a line_n towards_o the_o antartique_n pole_n whereupon_o it_o be_v call_v the_o circle_n of_o the_o winter_n solstice_n or_o the_o tropic_a of_o capricorn_n and_o be_v describe_v in_o the_o figure_n follow_v by_o the_o line_n h_o i_o ♑_o definition_n 12._o so_o much_o as_o the_o ecliptic_a decline_v from_o the_o equinoctial_a so_o much_o do_v the_o pole_n of_o the_o ecliptic_a decline_n from_o the_o pole_n of_o the_o world_n whereupon_o the_o pole_n of_o the_o ecliptic_a which_o be_v by_o the_o north_n pole_n of_o the_o world_n describe_v a_o circle_n as_o it_o pass_v about_o the_o pole_n of_o the_o world_n be_v just_a so_o far_o from_o the_o pole_n as_o the_o tropic_a of_o cancer_n be_v from_o the_o equator_fw-la and_o it_o be_v call_v the_o circle_n arctic_a or_o the_o circle_n of_o the_o north_n pole_n it_o be_v describe_v in_o the_o follow_a diagram_n by_o the_o line_n t_o o_fw-fr where_o the_o letter_n o_o do_v stand_v for_o the_o pole_n of_o the_o ecliptic_a and_o the_o line_n t_o o_fw-fr for_o the_o circle_n which_o the_o point_n o_o do_v describe_v about_o p_o the_o pole_n of_o the_o world_n definition_n 13._o the_o four_o and_o last_o of_o the_o lesser_a circle_n be_v describe_v in_o like_a manner_n by_o the_o other_o pole_n of_o the_o ecliptic_a about_o the_o south_n pole_n of_o the_o world_n and_o therefore_o call_v the_o antartique_n circle_n or_o the_o circle_n of_o the_o south_n pole_n &_o be_v demonstrate_v in_o the_o follow_a figure_n by_o the_o line_n l_o r._n definition_n 14._o the_o zenith_n be_v a_o imaginary_a point_n in_o the_o heaven_n over_o our_o head_n make_v right_a angle_n with_o the_o horizon_n as_o the_o equinoctial_a make_v with_o the_o pole_n definition_n 15._o the_o nadir_n be_v a_o point_n in_o the_o heaven_n under_o our_o foot_n make_v right_a angle_n with_o the_o horizon_n under_o the_o earth_n as_o the_o zenith_n do_v above_o and_o therefore_o be_v opposite_a unto_o the_o zenith_n both_o these_o may_v be_v represent_v in_o the_o figure_n by_o the_o line_n e_o w_n where_o the_o letter_n e_o stand_v for_o the_o zenith_n and_o w_n for_o the_o nadir_n definition_n 16._o the_o declination_n of_o the_o sun_n be_v the_o arch_n of_o a_o circle_n contain_v betwixt_o the_o ecliptic_a and_o the_o equinoctial_a make_v right_a angle_n with_o the_o equinoctial_a and_o may_v be_v set_v forth_o unto_o you_o by_o the_o arch_n s_o ♋_o but_o the_o declination_n of_o a_o star_n be_v the_o arch_n of_o a_o circle_n let_v fall_v from_o the_o centre_n of_o a_o star_n perpendicular_a unto_o the_o equinoctial_a this_o declination_n may_v be_v count_v either_o northward_o or_o southward_o according_a to_o the_o situation_n of_o the_o sun_n or_o star_n whether_o it_o be_v near_o unto_o the_o north_n or_o south_n pole_n of_o the_o world_n definition_n 17._o the_o latitude_n of_o a_o star_n be_v the_o arch_n of_o a_o circle_n contain_v betwixt_o the_o centre_n of_o any_o star_n and_o the_o ecliptic_a line_n make_v right_a angle_n with_o the_o ecliptic_a and_o count_v either_o northward_o or_o southward_o according_a to_o the_o situation_n of_o the_o star_n whether_o it_o be_v near_o unto_o the_o north_n or_o south_n pole_n of_o the_o ecliptic_a and_o here_o note_v that_o the_o sun_n have_v no_o latitude_n but_o always_o keep_v in_o the_o ecliptic_a line_n definition_n 18._o the_o latitude_n of_o a_o town_n or_o country_n be_v the_o height_n of_o the_o pole_n above_o rhe_n horizon_n or_o the_o distance_n betwixt_o the_o zenith_n and_o the_o equinoctial_a and_o may_v be_v represent_v in_o this_o figure_n by_o the_o arch_n of_o the_o meridian_n b_o p_o where_o the_o north_n pole_n p_o be_v elevate_v above_o the_o horizontall_a line_n c_o a_o b_o according_o to_z the_o angle_n b_o a_o p_o which_o here_o be_v 52_o degree_n 25_o minute_n the_o latitude_n of_o thurning_n definition_n 19_o the_o longitude_n of_o a_o star_n be_v that_o part_n of_o the_o ecliptic_a which_o be_v contain_v betwixt_o the_o star_n place_n in_o the_o ecliptic_a and_o the_o beginning_n of_o aries_n count_v they_o from_o aries_n according_a to_o the_o order_n or_o succession_n of_o the_o sign_n definition_n 20._o the_o longitude_n of_o a_o town_n or_o country_n be_v the_o number_n of_o degree_n which_o be_v contain_v in_o the_o equinoctial_a betwixt_o the_o meridian_n that_o pass_v over_o the_o isle_n of_o azore_n from_o whence_o the_o beginning_n of_o longitude_n be_v account_v eastward_n and_o the_o meridian_n that_o pass_v over_o the_o town_n or_o country_n desire_v definition_n 21._o the_o altitude_n of_o the_o sun_n or_o star_n be_v the_o arch_n of_o a_o circle_n contain_v betwixt_o the_o centre_n of_o the_o sun_n or_o any_o star_n and_o the_o horizon_n as_o for_o example_n in_o the_o former_a figure_n suppose_v the_o sun_n to_o be_v in_o the_o meridian_n at_o s_n than_o the_o angle_n of_o altitude_n will_v be_v the_o angle_n s_o a_o c_o the_o measure_n whereof_o will_v be_v the_o arch_n c_o s_o contain_v betwixt_o the_o sun_n at_o s_n and_o the_o horizon_n c_o which_o here_o will_v be_v find_v to_o be_v 37_o degr_n and_o 35_o min._n the_o height_n of_o the_o sun_n at_o noon_n when_o it_o be_v in_o the_o equinoctial_a circle_n s_o a_o n._n definition_n 22._o azimuth_n be_v circle_n which_o meet_v together_o in_o the_o zenith_n and_o cross_v the_o horizon_n at_o right_a angle_n and_o serve_v to_o find_v the_o point_n of_o the_o compass_n which_o the_o sun_n be_v upon_o at_o any_o hour_n of_o the_o day_n or_o the_o azimuth_n of_o the_o sun_n or_o star_n be_v a_o part_n of_o the_o horizon_n contain_v betwixt_o the_o true_a east_n or_o west_n point_n and_o that_o azimuth_n which_o pass_v by_o the_o centre_n of_o the_o same_o star_n to_o the_o horizon_n and_o may_v be_v represent_v in_o the_o former_a figure_n by_o the_o arch_a line_n e_o v_o w._n definition_n 23._o ascension_n be_v the_o rise_n of_o any_o star_n or_o of_o any_o part_n or_o portion_n of_o the_o ecliptic_a above_o the_o horizon_n definition_n 24._o right_o ascension_n be_v the_o number_n of_o degree_n and_o minute_n of_o the_o equinoctial_a count_v from_o the_o beginning_n of_o aries_n which_o come_v to_o the_o meridian_n with_o the_o sun_n moon_n star_n or_o any_o portion_n of_o the_o ecliptic_a definition_n 25._o oblique_a ascension_n be_v a_o part_n of_o the_o equinoctial_a contain_v betwixt_o the_o beginning_n of_o aries_n and_o that_o part_n of_o the_o equinoctial_a that_o rise_v with_o the_o centre_n of_o a_o star_n or_o any_o portion_n of_o the_o ecliptic_a in_o a_o oblique_a sphere_n definition_n 26._o the_o ascensionall_a difference_n be_v the_o difference_n betwixt_o the_o right_n and_o oblique_a ascension_n or_o it_o be_v the_o number_n of_o degree_n contain_v betwixt_o that_o place_n of_o the_o equinoctial_a that_o rise_v with_o the_o centre_n of_o a_o star_n and_o that_o place_n of_o the_o equinoctial_a that_o come_v to_o the_o meridian_n with_o the_o centre_n of_o the_o same_o star_n definition_n 27._o almicanter_n be_v circle_n draw_v parallel_n unto_o the_o horizon_n one_o over_o another_o until_o they_o