Selected quad for the lemma: day_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
day_n	point_n	quarter_n	sun_n	6,020	5	9.8439	5	false

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

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horometria_n or_o the_o complete_a diallist_n wherein_o the_o whole_a mystery_n of_o the_o art_n of_o dial_v be_v plain_o teach_v three_o several_a way_n two_o of_o which_o be_v perform_v geometrical_o by_o rule_n and_o compass_n only_o and_o the_o three_o instrumental_o by_o a_o quadrant_n fit_v for_o that_o purpose_n with_o the_o work_n of_o such_o proposition_n of_o the_o sphere_n as_o be_v most_o useful_a in_o astronomy_n and_o navigation_n both_o geometrical_o and_o instrumental_o by_o thomas_n stirrup_n philomath_n whereunto_o be_v add_v a_o appendix_n show_v how_o the_o parallel_n of_o declination_n the_o jewish_a babylonish_n &_o italian_a hour_n the_o azimuth_n almicanter_n etc._n etc._n may_v be_v easy_o inscribe_v on_o any_o dial_n whatsoever_o by_o rule_n and_o compass_n only_o and_o to_o draw_v a_o dial_n on_o the_o ceiling_n of_o a_o room_n by_o w._n leybourn_n also_o dial_v universal_a perform_v by_o a_o easy_a and_o most_o speedy_a way_n show_v how_o to_o describe_v 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and_o draw_v of_o many_o un-necessary_a line_n be_v total_o avoid_v you_o have_v no_o line_n to_o draw_v but_o such_o as_o will_v be_v comprise_v within_o the_o bound_n of_o your_o plane_n and_o those_o so_o few_o that_o you_o need_v not_o fear_v confusion_n iv_o &_o five_o the_o four_o and_o five_o sheweth_z the_o constinction_n and_o use_n of_o a_o quadrant_n by_o which_o all_o the_o most_o usual_a proposition_n in_o astronomy_n may_v be_v wrought_v with_o great_a facility_n and_o by_o which_o the_o inclination_n and_o declination_n of_o a_o plane_n may_v be_v speedy_o attain_v and_o also_o the_o hour-line_n draw_v upon_o all_o kind_n of_o planes_n in_o any_o latitude_n unto_o these_o five_o book_n be_v add_v a_o appendix_n show_v how_o to_o furnish_v any_o kind_n of_o dial_n with_o astronomical_a variety_n as_o to_o draw_v thereon_o the_o parallel_n of_o declination_n by_o which_o the_o place_n of_o the_o sun_n may_v be_v know_v the_o parallel_n of_o the_o length_n of_o the_o day_n by_o which_o the_o day_n of_o the_o month_n the_o sun_n rise_v and_o set_v the_o length_n of_o the_o day_n and_o night_n may_v be_v know_v how_o many_o hour_n be_v pass_v since_o sun_n rise_v and_o how_o many_o remain_n to_o sun_n set_v the_o old_a un-equal_a hour_n by_o which_o the_o day_n be_v divide_v into_o twelve_o equal_a part_n according_a to_o the_o jewish_a account_n the_o azimuth_n by_o which_o you_o may_v know_v in_o what_o quarter_n of_o the_o heaven_n the_o sun_n be_v at_o any_o time_n of_o the_o day_n the_o almicanter_n or_o circle_n of_o altitude_n by_o which_o the_o height_n of_o the_o sun_n the_o proportion_n of_o shadow_n to_o their_o body_n may_v be_v easy_o discover_v and_o last_o how_o to_o draw_v a_o dial_n on_o the_o ceiling_n of_o a_o room_n by_o reflection_n all_o which_o be_v perform_v geometrical_o by_o rule_n and_o compass_n only_o afford_v great_a delight_n and_o pleasure_n in_o the_o practice_n of_o this_o most_o excellent_a art_n all_o which_o be_v here_o 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

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 solsticial_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 and_o be_v note_v in_o the_o figure_n follow_v by_o the_o line_n ♋_o f_o g._n definition_n 11._o the_o sun_n also_o approach_v unto_o the_o first_o scuple_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 and_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 the_o 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 horizontal_n line_n c_o a_o b_o according_o to_z the_o angle_n bap_n which_o here_o be_v 52_o degr_n 25_o min._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 sac_n 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 &_o the_o horizon_n c_o which_o here_o will_v be_v find_v to_o be_v 37_o deg_fw-la 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 ascensional_a difference_n be_v the_o difference_n betwixt_o the_o right_n &_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 equinoctional_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 come_v unto_o the_o zenith_n these_o be_v circle_n that_o do_v measure_v the_o elevation_n of_o the_o pole_n or_o height_n of_o the_o sun_n moon_n or_o star_n above_o the_o horizon_n which_o be_v call_v the_o almicanter_n of_o the_o sun_n moon_n or_o star_n the_o arch_n of_o the_o sun_n or_o star_n almicanter_n be_v a_o portion_n of_o a_o azimuth_n coutain_v betwixt_o that_o almicanter_n which_o pass_v through_o the_o centre_n of_o the_o star_n and_o the_o horizon_n thus_o have_v set_v forth_o unto_o the_o view_n of_o the_o unlearned_a for_o who_o sake_n this_o treatise_n be_v intend_v the_o meaning_n of_o some_o of_o the_o useful_a term_n of_o geometry_n which_o be_v most_o attendant_a unto_o this_o art_n of_o

the_o line_n a_o b_o and_o place_n it_o from_o f_o to_o h_n then_o with_o the_o distance_n h_o a_o set_v one_o foot_n in_o the_o point_n n_n with_o the_o other_o describe_v the_o arch_a line_n i_o by_o the_o convexity_n of_o which_o arch_a line_n and_o the_o centre_n point_v a_o draw_v the_o line_n a_o l_o cut_v the_o arch_n b_o c_o d_o in_o the_o point_n l_o so_fw-mi shall_v the_o arch_n d_o l_o be_v the_o azimuth_n of_o the_o sun_n from_o the_o south_n which_o here_o will_v be_v find_v to_o be_v 49_o deg_fw-la 49_o min._n the_o thing_n desire_v chap._n xviii_o the_o latitude_n of_o the_o place_n the_o declination_n of_o the_o sun_n and_o the_o altitude_n of_o the_o sun_n be_v give_v to_o find_v the_o hour_n of_o the_o day_n but_o if_o the_o declination_n have_v be_v north_n than_o the_o distrnce_n from_o the_o point_n h_n to_o the_o line_n a_o b_o shall_v have_v be_v place_v from_o the_o centre_n a_o towards_o the_o point_n i_o and_o the_o distance_n i_o p_o take_v instead_o of_o a_o i_o as_o by_o the_o next_o figure_n i_o will_v make_v more_o plain_a and_o here_o note_v that_o if_o the_o altitude_n of_o the_o sun_n have_v be_v so_o small_a that_o the_o point_n i_o have_v fall_v betwixt_o the_o centre_n a_o and_o the_o point_n p_o which_o be_v the_o altitude_n of_o the_o sun_n at_o the_o hour_n of_o six_o then_o shall_v that_o part_n of_o the_o arch_n b_o c_o d_o towards_o b_o give_v the_o quantity_n of_o time_n either_o before_o six_o in_o the_o morning_n or_o after_o six_o in_o the_o evening_n chap._n xix_o have_v the_o azimuth_n the_o sun_n altitude_n and_o the_o declination_n to_o find_v the_o hour_n of_o the_o day_n first_o draw_v the_o quadrant_a a_o b_o c_o d_o then_o suppose_v the_o sun_n to_o have_v 11_o deg_fw-la 30_o m._n declination_n place_v it_o from_o b_o to_z e_z &_o from_o the_o point_n e_o take_v the_o short_a extent_n unto_o the_o line_n a_o d_o with_o which_o distance_n place_z one_o foot_n in_o the_o centre_n a_o and_o with_o the_o other_o describe_v the_o arch_n g_o h_n i_o then_o let_v the_o azimuth_n be_v 66_o deg_fw-la 34_o min._n as_o it_o be_v find_v by_o the_o former_a part_n of_o the_o 17_o chapter_n which_o place_n from_o b_o to_o f_o &_o from_o the_o point_n f_o take_v the_o near_a extent_n unto_o the_o line_n a_o b_o which_o distance_n place_n from_o g_z to_o h_n in_o the_o arch_n g_o h_n i_o through_o which_o point_n h_n draw_v the_o line_n a_o h_n c_o then_z the_o altitude_n of_o the_o sun_n be_v 30_o deg_fw-la 45._o m._n place_n it_o from_o b_o to_o l_o and_o from_o the_o point_n k_o take_v the_o near_a extent_n unto_o the_o line_n a_o d_o with_o which_o distance_n set_v one_o foot_n in_o the_o centre_n a_o with_o the_o other_o describe_v the_o arch_n n_o r_n then_o with_o the_o distance_n n_o r_n fix_v one_o foot_n in_o the_o arch_a line_n b_o c_o d_o so_o as_o the_o other_o may_v but_o only_o touch_v the_o line_n a_o b_o so_fw-mi shall_v the_o fix_a foot_n rest_n in_o the_o point_n m_o and_o the_o arch_n b_o m_o shall_v show_v the_o hour_n from_o the_o meridian_n which_o will_v be_v find_v in_o this_o example_n to_o be_v 53_o deg_fw-la 40_o min._n that_o be_v three_o hour_n and_o something_o better_a than_o 34_o min._n from_o the_o meridian_n chap._n xx._n have_v the_o hour_n of_o the_o day_n the_o sun_n altitude_n and_o the_o declination_n to_o find_v the_o azimuth_n first_o make_v the_o quadrant_a a_o b_o c_o d_o then_o suppose_v the_o declination_n of_o the_o sun_n to_o be_v 11_o deg_fw-la 30_o min._n north_n as_o before_o place_v it_o from_o b_o to_z e_z then_o suppose_v the_o altitude_n of_o the_o sun_n to_o be_v 30_o deg_fw-la 45_o min._n place_n it_o from_o b_o to_o l_o from_z which_o point_n l_o take_v the_o short_a extent_n unto_o the_o line_n a_o d_o with_o this_o distance_n set_v one_o foot_n in_o the_o centre_n a_o describe_v the_o arch_n n_o r_n now_o let_v the_o arch_n for_o the_o hour_n be_v 53_o deg_fw-la 40_o min._n as_o it_o be_v find_v by_o the_o last_o chapter_n this_o set_v from_o b_o unto_o m_n and_o from_o the_o point_n m_o take_v the_o short_a extent_n unto_o the_o line_n a_o b_o and_o place_n it_o from_o n_n to_o r_n in_o the_o arch_n n_o r_n and_o by_o the_o point_n r_o draw_v the_o line_n a_o r_o c_o then_o from_o the_o point_n e_o take_v the_o near_a extent_n unto_o the_o line_n a_o d_o with_o which_o distance_n upon_o the_o centre_n a_o draw_v the_o arch_n g_o h_n then_o with_o the_o distance_n g_o h_n fix_v one_o foot_n in_o the_o arch_n b_o c_o d_o so_fw-mi that_o the_o other_o may_v but_o touch_v the_o line_n a_o b_o then_o will_v the_o fix_a foot_n rest_n in_o the_o point_n f_o and_o the_o arch_n b_o f_o will_v show_v the_o azimuth_n from_o the_o south_n which_o in_o this_o example_n will_v be_v find_v to_o be_v 66_o deg_fw-la 43_o min._n the_o thing_n desire_v chap._n xxi_o have_v the_o latitude_n of_o the_o place_n and_o the_o declination_n of_o the_o sun_n to_o find_v the_o ascensional_a difference_n first_o draw_v the_o quadrant_a a_o b_o c_o d_o then_z place_z the_o latititude_n which_o here_o let_v be_v 52_o deg_fw-la 30_o min._n from_z d_o to_z c_z and_o draw_v the_o line_n c_o o_fw-fr p_o parallel_n to_o a_o d_o then_o with_o the_o distance_n c_o p_o upon_o the_o centre_n a_o describe_v the_o arch_n g_o h_n i_o then_o place_v the_o declination_n be_v 20_o deg_fw-la from_z b_o to_o f_o then_o lay_v your_o rule_n from_o the_o centre_n a_o upon_o the_o point_n f_o and_o draw_v f_o o_fw-fr cut_v cp_n in_o the_o point_n o_o through_o which_o point_n o_o draw_v the_o line_n ohr_n cut_v the_o arch_n g_o h_n i_o in_o the_o point_n h_n through_z which_o point_n h_n draw_v the_o line_n a_o h_n e_o cut_v the_o arch_n b_o c_o d_o in_o e_z so_o shall_v the_o arch_n b_o e_o be_v the_o difference_n ascensional_a and_o will_v be_v find_v in_o this_o example_n to_o be_v 28_o deg_fw-la 19_o min._n which_o resolve_v into_o time_n do_v give_v one_o hour_n and_o something_o better_a than_o 53_o min._n for_o the_o difference_n betwixt_o the_o sun_n rise_v or_o set_v and_o the_o hour_n of_o six_o according_a to_o the_o time_n of_o the_o year_n chap._n xxii_o have_v the_o declination_n of_o the_o sun_n to_o find_v the_o right_a ascension_n first_o describe_v the_o quadrant_a a_o b_o c_o d_o then_z place_z the_o great_a declination_n of_o the_o sun_n from_o b_o to_z e_z and_o draw_v the_o line_n ep_a parallel_n to_o ad_fw-la and_o with_o the_o distance_n ep_v with_o one_o foot_n in_o a_o describe_v the_o arch_n ghi_n then_o set_v the_o declination_n of_o the_o sun_n give_v 20_o deg_fw-la from_z b_o unto_o f_o and_o lay_v your_o rule_n upon_o the_o centre_n a_o and_o the_o point_n f_o draw_v the_o line_n f_o o_fw-fr cut_v e_z p_o in_o o_o through_o which_o point_n o_o draw_v the_o line_n ohr_n parallel_v to_o a_o b_o cut_v the_o arch_n g_o h_n i_o in_o h_n and_o through_o the_o point_n h_n draw_v the_o line_n a_o h_n c_o cut_v the_o arch_n b_o c_o d_o in_o the_o point_n c_o so_fw-mi shall_v b_o c_z be_v 56_o deg_fw-la 50_o min._n the_o right_a ascension_n desire_v chap._n xxiii_o have_v the_o right_a ascension_n of_o the_o sun_n or_o star_n together_o with_o the_o difference_n of_o their_o ascension_n to_o find_v the_o oblique_a ascension_n the_o right_a ascension_n of_o any_o point_n of_o the_o heaven_n be_v know_v the_o difference_n of_o the_o ascension_n be_v either_o to_o be_v add_v thereunto_o or_o else_o to_o be_v substract_v from_o it_o according_a as_o the_o sun_n or_o star_n be_v situate_v in_o the_o northern_a or_o southern_a sign_n as_o for_o example_n if_o the_o sun_n be_v in_o any_o of_o these_o six_o northern_a sign_n aries_n taurus_n gemini_fw-la cancer_n leo_n or_o virgo_fw-la than_o the_o difference_n of_o the_o ascension_n be_v to_o be_v subtract_v from_o the_o right_a ascension_n and_o the_o remainder_n be_v the_o oblique_a ascension_n therefore_o let_v the_o four_o degree_n of_o gemini_fw-la be_v give_v the_o right_a ascension_n whereof_o be_v find_v to_o be_v 62_o deg_fw-la or_o 4_o hour_n and_o 8_o min._n and_o the_o difference_n of_o ascension_n where_o the_o pole_n be_v elevate_v 52_o deg_fw-la 30_o min._n be_v 30_o deg_fw-la 3_o min._n or_o in_o time_n 2_o hour_n and_o something_o better_a which_o be_v take_v from_o the_o right_a ascension_n leave_v 2_o hour_n and_o 8_o min._n or_o 32_o deg_fw-la 5_o m._n which_o be_v the_o oblique_a ascension_n of_o the_o sun_n in_o the_o four_o degree_n of_o gemini_fw-la but_o if_o the_o

undermost_a be_v the_o parallel_n of_o his_o course_n when_o the_o day_n be_v 16_o hour_n long_o and_o the_o aequinoctial_a be_v the_o parallel_n of_o the_o sun_n course_n when_o the_o day_n be_v 12_o hour_n long_o  _fw-fr  _fw-fr length_n of_o the_o day_n  _fw-fr  _fw-fr 8_o 12_o 16_o hour_n from_o sun_n rise_v 1_o 9_o 7_o 5_o 2_o 10_o 8_o 6_o 3_o 11_o 9_o 7_o 4_o 12_o 18_o 8_o 5_o 1_o 11_o 9_o 6_o 2_o 12_o 10_o 7_o 3_o 1_o 11_o 8_o 4_o 2_o 12_o 9_o 5_o 3_o 1_o 10_o 6_o 4_o 2_o 11_o 7_o 5_o 3_o your_o dial_n be_v thus_o prepare_v &_o these_o parallel_n thus_o insert_v the_o inscription_n of_o these_o hour-line_n be_v very_o easy_a and_o plain_a to_o be_v understand_v to_o begin_v then_o with_o the_o inscription_n of_o the_o babylonish_n hour_n which_o be_v the_o hour_n from_o the_o sun_n rise_v first_o it_o be_v apparent_a that_o when_o the_o day_n be_v 8_o hour_n long_o that_o the_o sun_n rise_v at_o 8_o in_o the_o morning_n so_o that_o at_o that_o time_n the_o first_o hour_n after_o the_o sun_n rise_n be_v 9_o in_o the_o morning_n second_o when_o the_o day_n be_v 12_o hour_n long_o the_o sun_n rise_v at_o 6_o in_o the_o morning_n so_o that_o at_o that_o time_n the_o first_o hour_n after_o the_o sun_n rise_n be_v 7_o in_o the_o morning_n three_o when_o the_o day_n be_v 16_o hour_n long_o the_o sun_n rise_v at_o 4_o in_o the_o morning_n so_o that_o the_o first_o hour_n after_o his_o rise_n be_v 5_o in_o the_o morning_n as_o plain_o appear_v by_o this_o table_n by_o which_o you_o may_v perceive_v that_o when_o the_o day_n be_v 8_o hour_n long_o the_o seven_o hour_n from_o sun_n rise_v be_v 3_o in_o the_o afternoon_n when_o the_o day_n be_v 12_o hour_n long_o the_o seven_o hour_n from_o the_o sun_n rise_v be_v 1_o in_o the_o afternoon_n and_o when_o the_o day_n be_v 16_o hour_n long_o the_o seven_o hour_n from_o the_o sun_n rise_v be_v 11_o before_o noon_n as_o by_o this_o table_n do_v evident_o appear_v and_o therefore_o a_o straight_a line_n draw_v in_o your_o dial_n through_o those_o point_n where_o the_o common_a hour-line_n of_o your_o dial_n across_o the_o respective_a parallel_n of_o the_o day_n length_n shall_v show_v the_o true_a quantity_n of_o hour_n since_o the_o sun_n rise_v at_o all_o time_n of_o the_o year_n which_o be_v the_o baby_n lonish_v hour_n for_o example_n let_v it_o be_v require_v to_o draw_v the_o seven_o hour_n from_o the_o sun_n rise_v in_o your_o dial._n first_o by_o the_o table_n you_o see_v that_o in_o the_o parallel_n of_o 8_o hour_n for_o the_o length_n of_o the_o day_n the_o seven_o hour_n from_o the_o sun_n rise_v be_v 3_o in_o the_o afternoon_n therefore_o observe_v where_o the_o hour-line_n of_o three_o cross_v the_o parallel_n of_o 8_o hour_n which_o be_v at_o a._n second_o by_o the_o table_n you_o see_v that_o in_o the_o parallel_n of_o 12_o hour_n for_o the_o length_n of_o the_o day_n the_o seven_o hour_n from_o sun_n rise_v be_v then_o 1_o in_o the_o afternoon_n wherefore_o observe_v where_o the_o hour-line_n of_o 1_o cross_v the_o equinoctial_a which_o be_v at_o b._n three_o by_o the_o table_n you_o see_v that_o in_o the_o parallel_n of_o 16_o hour_n for_o the_o length_n of_o the_o day_n the_o seven_o hour_n from_o the_o sun_n rise_v be_v 11_o before_o noon_n therefore_o observe_v where_o the_o hour-line_n of_o 11_o cross_v the_o parallel_n of_o 16_o hour_n which_o be_v at_o c_o then_o draw_v the_o straight_a line_n a_o b_o c_o which_o shall_v be_v the_o seven_o babylonish_n hour_n or_o the_o seven_o hour_n from_o the_o sun_n rise_v all_o the_o year_n long_o and_o by_o this_o rule_n and_o the_o help_n of_o the_o table_n you_o may_v draw_v all_o the_o other_o hour_n from_o sun_n rise_v as_o you_o see_v they_o draw_v in_o the_o figure_n and_o put_v number_n to_o they_o as_o you_o see_v there_o do_v ¶_o 1_o note_v that_o if_o any_o of_o the_o point_v you_o be_v to_o make_v use_n of_o for_o the_o draw_v of_o any_o of_o these_o hour_n fall_v without_o your_o plane_n you_o must_v in_o this_o case_n extend_v your_o hour-line_n parallel_n and_o equinoctial_a beyond_o the_o limit_n of_o your_o dial-plane_n and_o there_o make_v use_n of_o the_o point_n but_o you_o need_v extend_v the_o line_n you_o draw_v no_o far_o than_o the_o bound_n of_o the_o plane_n as_o here_o in_o the_o figure_n you_o see_v the_o first_o hour_n from_o sun_n rise_v cross_v not_o the_o equinoctial_a and_o the_o hour-line_n of_o 7_o within_o the_o plane_n but_o if_o the_o equinoctial_a and_o the_o hour-line_n of_o 7_o be_v extend_v it_o will_v cross_v ¶_o 2_o note_v that_o if_o any_o of_o the_o three_o point_n you_o be_v to_o make_v use_n of_o do_v so_o far_o exceed_v the_o limit_n of_o your_o plane_n that_o it_o will_v be_v either_o impossible_a or_o at_o least_o very_a troublesome_a to_o extend_v the_o hour-line_n so_o far_o that_o then_o in_o that_o case_n any_o two_o of_o the_o three_o point_n will_v sufficient_o serve_v the_o turn_n ¶_o 3_o note_n that_o as_o the_o hour_n from_o sun_n rise_v be_v put_v into_o the_o plane_n by_o the_o same_o rule_n may_v the_o hour_n from_o sun_n set_v or_o italian_a hour_n be_v insert_v the_o difference_n be_v only_o in_o the_o number_n of_o they_o the_o hour_n from_o the_o sun_n rise_v be_v number_v from_o the_o west_n side_n to_o the_o horizontal_n line_n by_o 1_o 2_o 3_o 4_o 5_o 6_o 7_o 8_o 9_o 10_o and_z 11_o and_o the_o hour_n from_o the_o sun_n set_v be_v denominate_v from_o the_o east_n side_n of_o the_o horizon_n and_o number_v backward_o by_o 23_o 22_o 21_o 20_o 19_o 18_o 17_o 16_o 15_o 14_o and_o 13_o as_o in_o the_o figure_n do_v evident_o appear_v ¶_o 4_o note_v that_o these_o italian_a and_o babylonish_n hour_n be_v inscribe_v on_o all_o plane_n by_o help_n of_o this_o little_a table_n and_o the_o rule_n and_o caution_n deliver_v in_o this_o chapter_n and_o therefore_o more_o example_n be_v superfluous_a chap._n iu._n show_v how_o the_o jewish_a hour_n may_v be_v draw_v upon_o any_o plane_n it_o be_v the_o custom_n of_o the_o ancient_n to_o divide_v their_o day_n and_o also_o their_o night_n whether_o long_o or_o short_a into_o 12_o equal_a part_n begin_v their_o day_n at_o the_o sun_n rise_v and_o their_o night_n at_o the_o sun_n set_v so_o that_o 14_o of_o the_o clock_n at_o noon_n be_v always_o the_o six_o hour_n of_o their_o day_n and_o 12_o at_o night_n be_v always_o the_o six_o hour_n of_o their_o night_n and_o according_a to_o this_o division_n be_v their_o dial_n drawn_z so_o that_o all_o the_o summer_n the_o hour_n of_o their_o day_n be_v long_o than_o the_o hour_n of_o their_o night_n and_o all_o the_o winter_n the_o hour_n of_o their_o night_n be_v long_o than_o those_o of_o their_o day_n and_o when_o the_o sun_n be_v in_o the_o equinoctial_a than_o the_o hour_n of_o their_o day_n and_o night_n be_v equal_a and_o the_o same_o with_o those_o of_o our_o account_n but_o at_o all_o other_o time_n of_o the_o year_n different_a the_o inscribe_v of_o these_o hour_n into_o all_o kind_n of_o plane_n be_v very_o easy_a be_v much_o like_o the_o draw_n of_o the_o babylonish_n and_o italian_a hour_n before_o teach_v have_v therefore_o draw_v your_o dial_n which_o in_o this_o example_n for_o the_o avoid_n of_o many_o figure_n we_o will_v have_v to_o be_v the_o full_a south_n plane_n use_v before_o in_o chap._n 2._o of_o this_o appendix_n with_o the_o hour_n half_n and_o quarter_n and_o also_o draw_v the_o two_o tropic_n and_o the_o parallel_n of_o the_o length_n of_o the_o day_n thereupon_o as_o you_o see_v here_o do_v in_o this_o figure_n then_o make_v choice_n of_o two_o parallel_n of_o the_o length_n of_o the_o day_n which_o must_v be_v both_o of_o they_o equidistant_n from_o the_o equinoctial_a which_o let_v be_v the_o parallel_n of_o 9_o hour_n and_o 15_o hour_n both_o which_o be_v three_o hour_n different_a from_o the_o equinoctial_a on_o either_o side_n thereof_o and_o these_o two_o parallel_n be_v the_o most_o convenient_a for_o jewish_a hour_n the_o parallel_n of_o 15_o hour_n equinoctial_a the_o parallel_n of_o 9_o hour_n h_o m_o h_o m_o 1_o 5_o 45_o 7_o 8_o 15_o 2_o 7_o 0_o 8_o 9_o 0_o 3_o 8_o 15_o 9_o 9_o 45_o 4_o 9_o 30_o 10_o 10_o 30_o 5_o 10_o 45_o 11_o 11_o 15_o 6_o 12_o 0_o 12_o 12_o 0_o 7_o 1_o 15_o 1_o 0_o 45_o 8_o 2_o 30_o 2_o 1_o 30_o 9_o 3_o 45_o 3_o 2_o 15_o 10_o 5_o 0_o 4_o 3_o 0_o 11_o 6_o 15_o 5_o 3_o 45_o 12_o 7_o 30_o 6_o 4_o 30_o this_o our_o purpose_n because_o the_o jewish_a hour_n will_v fall_v in_o these_o

arch_n e_o d_o 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 &_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 abc_n 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_n 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 un-necessary_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 circ_n l_o describe_v 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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 and_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 the_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 sagittarius_fw-la capricornus_fw-la aquarius_n and_o pisces_fw-la out_o of_o this_o line_n

sun_n be_v upon_o the_o south_n side_n of_o the_o equinoctial_a either_o in_o libra_n scorpio_n sagittarius_fw-la capricornus_fw-la aquarius_n or_o pisces_fw-la than_o the_o difference_n of_o the_o ascension_n be_v to_o be_v add_v unto_o the_o right_a ascension_n and_o the_o sum_n of_o they_o both_o will_v be_v the_o oblique_a ascension_n as_o suppose_v the_o four_o degree_n of_o sagittariou_n to_o be_v give_v the_o right_a ascension_n whereof_o be_v find_v to_o be_v 242_o deg_fw-la or_o 16_o hour_n 8_o min._n and_o the_o difference_n of_o ascension_n be_v 30_o deg_fw-la 3_o min._n or_o 2_o hour_n which_o be_v add_v unto_o the_o right_a ascension_n do_v make_v 18_o hour_n 8_o min._n or_o in_o degree_n 272_o deg_fw-la 3_o min._n which_o be_v the_o oblique_a ascension_n of_o the_o sun_n in_o the_o four_o degree_n of_o sagittarius_fw-la but_o if_o you_o will_v find_v the_o oblique_a descension_n you_o must_v work_v direct_o contrary_a to_o these_o rule_n give_v chap._n xxiv_o how_o to_o find_v the_o altitude_n of_o the_o sun_n without_o instrument_n in_o the_o three_o chapter_n of_o this_o book_n it_o be_v show_v how_o to_o find_v the_o altitude_n of_o the_o sun_n by_o a_o gnomon_n set_v perpendicular_a to_o the_o horixon_n but_o see_v the_o ground_n be_v 〈◊〉_d unlevel_v it_o be_v not_o so_o ready_a for_o this_o our_o purpose_n and_o perhaps_o some_o may_v have_v occasion_n to_o find_v the_o altitude_n of_o the_o sun_n and_o thereby_o the_o azimuth_n or_o hour_n of_o the_o day_n according_a to_o the_o 17_o or_o 18_o chapter_n and_o yet_o may_v be_v unprovided_a of_o instrument_n to_o perform_v the_o same_o or_o at_o least_o may_v be_v absent_a from_o they_o therefore_o it_o will_v not_o be_v unneedfull_a to_o show_v the_o find_n of_o the_o same_o without_o the_o gnomon_n or_o other_o instrument_n take_v therefore_o a_o trencher_n or_o any_o simple_a board_n end_n of_o what_o fashion_n soever_o such_o as_o you_o can_v get_v make_v thereon_o two_o prick_n as_o a_o and_o 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show_v the_o latitude_n of_o the_o most_o principal_a city_n and_o town_n in_o england_n name_n of_o the_o place_n latitude_n  _fw-fr d_o m_o st._n albon_n 51_o 55_o barwick_n 55_o 49_o bedford_n 52_o 18_o bristol_n 51_o 32_o boston_n 53_o 2_o cambridge_n 52_o 17_o chester_n 53_o 20_o coventry_n 52_o 30_o chichester_n 50_o 56_o colchester_n 52_o 4_o derby_n 53_o 6_o grantham_n 52_o 58_o halifax_n 53_o 49_o horeford_n 52_o 14_o hull_v 53_o 50_o london_n 51_o 32_o lancaster_n 54_o 8_o leicester_n 52_o 40_o lincoln_n 53_o 15_o newcastle_n 54_o 58_o northampton_n 52_o 18_o oxford_n 51_o 54_o shrewsbury_n 52_o 48_o warwick_n 52_o 25_o winchester_n 51_o 10_o worcester_n 52_o 20_o yarmouth_n 52_o 45_o york_n 54_o 0_o the_o end_n of_o the_o second_o book_n the_o three_o book_n show_v geometrical_o how_o to_o describe_v the_o hour-line_n upon_o all_o sort_n of_o planes_n howsoever_o or_o in_o what_o latitude_n soever_o situate_v two_o manner_n of_o way_n without_o exceed_v the_o limit_n of_o the_o plane_n chap._n i._n how_o to_o examine_v a_o plane_n for_o a_o horizontal_n dial._n forasmuch_o as_o it_o be_v necessary_a before_o the_o draw_v of_o any_o dial_n to_o know_v how_o your_o plane_n be_v already_o place_v or_o how_o it_o ought_v afterward_o to_o be_v place_v it_o be_v therefore_o expedient_a to_o show_v how_o it_o may_v be_v attain_v unto_o without_o the_o help_n of_o a_o quadrant_n or_o any_o such_o like_a instrument_n which_o for_o this_o purpose_n be_v very_o useful_a first_o take_v any_o board_n that_o have_v one_o straight_a side_n and_o a_o inch_n or_o more_o from_o the_o straight_a side_n draw_v a_o line_n parallel_v thereto_o about_o the_o middle_n of_o which_o line_n erect_v a_o perpendicular_a line_n and_o at_o the_o centre_n where_o these_o two_o line_n meet_v cut_v out_o a_o hollow_a piece_n from_o the_o edge_n of_o the_o parallel_a line_n for_o a_o plummet_n to_o hang_v in_o then_o if_o your_o plane_n seem_v to_o be_v level_a with_o the_o horizon_n 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