Selected quad for the lemma: day_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
day_n	east_n	hour_n	minute_n	4,917	5	12.2222	5	false

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A08582	The circles of proportion and the horizontal instrument The former shewing the maner how to work proportions both simple and compound: and the ready and easy resolving of quæstions both in arithmetic, geometrie, & astronomie: and is newly increased with an additament for navigation. All which rules may also be wrought with the penne by arithmetic, and the canon of triangles. The later teaching how to work most quæstions, which may be performed by the globe: and to delineat dialls upon any kind of plaine. Invented, and written in latine by W.O. Translated into English, and set out for the public benefit, by William Forster.	Oughtred, William, 1575-1660.; Forster, William, mathematician.; Oughtred, William, 1575-1660. Addition unto the use of the circles of proportion. aut	1633 (1633)	STC 18899B; ESTC S120820	74,822	159

that_o imaginary_a parallel_n do_v the_o manifold_a use_n of_o this_o instrument_n especial_o rely_v because_o the_o true_a place_n of_o the_o sun_n all_o that_o day_n be_v in_o some_o part_n or_o point_n of_o that_o circle_n wherefore_o for_o the_o better_a conceive_v and_o bear_v in_o mind_n thereof_o every_o five_o parallel_n be_v herein_o make_v a_o little_o grosser_n than_o the_o rest_n i_o use_v and_o thus_o by_o the_o eye_n and_o view_v only_o to_o behold_v and_o comprehend_v the_o course_n of_o the_o sun_n both_o for_o his_o annual_a and_o diurnal_a motion_n may_v be_v the_o first_o use_n of_o this_o instrument_n two_o use_n to_o take_v the_o height_n of_o the_o sun_n above_o the_o horizon_n set_a up_o the_o pin_n which_o be_v therefore_o make_v fit_a for_o the_o hole_n at_o the_o centre_n perpendicular_a in_o the_o centre_n and_o put_v the_o indices_fw-la on_o both_o side_n down_o upon_o the_o meridian_n that_o they_o with_o their_o weight_n may_v not_o sway_v the_o instrument_n any_o way_n as_o it_o hang_v then_o with_o a_o thread_n put_v into_o the_o hole_n above_o in_o the_o handle_n hang_v it_o perpendicular_o bear_v the_o edge_n towards_o the_o sun_n that_o the_o pin_n may_v cast_v a_o shadow_n upon_o the_o degree_n in_o the_o limb_n for_o that_o degree_n which_o the_o shadow_n of_o the_o pin_n cut_v in_o the_o limb_n be_v the_o height_n of_o the_o sun_n above_o the_o horizon_n at_o that_o present_a iii_o use_n to_o find_v the_o declination_n of_o the_o sun_n every_o day_n look_v the_o day_n of_o the_o month_n propose_v in_o the_o ecliptic_a and_o mark_v how_o many_o degree_n the_o prick_n show_v that_o day_n be_v distant_a from_o the_o equinoctial_a either_o on_o the_o summer_n or_o winter_n side_n viz_o north_n or_o south_n example_n i._o what_o will_v the_o declination_n of_o the_o sun_n be_v upon_o the_o 11_o day_n of_o august_n look_v the_o 11_o day_n of_o august_n and_o you_o shall_v find_v it_o in_o the_o sixth_o circle_n above_o the_o aequinoctial_a now_o because_o each_o parallel_n stand_v as_o have_v be_v say_v before_o for_o 2_o degree_n the_o sun_n shall_v that_o day_n decline_v north-ward_n 12_o degree_n example_n ii_o what_o declination_n have_v the_o sun_n upon_o the_o 24_o day_n of_o march_n look_v the_o 24_o day_n of_o march_n and_o you_o shall_v find_v it_o between_o the_o second_o and_o three_o northern_a parallel_n as_o it_o be_v a_o half_a and_o one_o five_o part_n more_o of_o that_o distance_n from_o the_o second_o reckon_v therefore_o 4_o degree_n for_o the_o two_o circle_n and_o one_o degree_n for_o the_o half_a space_n so_o shall_v the_o sun_n declination_n be_v 5_o degree_n and_o about_o one_o five_o part_n of_o a_o degree_n northward_o that_o same_o day_n example_n iii_o what_o declination_n have_v the_o sun_n upon_o the_o 13_o day_n of_o november_n look_v the_o 13_o day_n of_o november_n and_o you_o shall_v find_v it_o below_o the_o equinoctial_a ten_o parallel_n and_o about_o one_o quarter_n which_o be_v 20_o degree_n and_o a_o half_a southward_o so_o much_o be_v the_o declination_n and_o according_a to_o these_o example_n judge_v of_o all_o the_o rest_n four_o use_n to_o find_v the_o right_a ascension_n of_o the_o sun_n every_o day_n imagine_v a_o hour_n line_n through_o the_o day_n of_o the_o month_n give_v and_o mark_v in_o what_o point_n it_o will_v cr●sse_v the_o aequinoctial_a then_o lay_v a_o ruler_n or_o a_o straight_a scroll_n of_o paper_n to_o the_o pole_n of_o the_o world_n note_v in_o the_o instrument_n with_o p_o w_n and_o that_o same_o point_n for_o the_o ruler_n shall_v in_o the_o innermost_a circle_n of_o the_o limb_n of_o the_o south_n side_n cut_v the_o right_a ascension_n of_o the_o sun_n for_o that_o day_n to_o be_v reckon_v from_o the_o west_n to_o the_o point_n of_o intersection_n for_o the_o first_o or_o upper_a semicircle_n of_o the_o ecliptic_a or_o from_o the_o east_n together_o with_o 180_o for_o the_o second_o or_o low_a semicircle_n of_o the_o ecliptic_a v._o use_v to_o find_v the_o longitude_n of_o the_o sun_n or_o in_o what_o degree_n of_o the_o sign_n he_o be_v every_o day_n the_o pole_n of_o the_o first_o semicircle_n of_o the_o ecliptic_a be_v note_v p_o i._n and_o the_o pole_n of_o the_o second_o semicircle_n be_v note_v p_o i_o i._o lie_v a_o ruler_n or_o a_o straight_a scroll_n of_o paper_n to_o the_o day_n of_o the_o month_n and_o the_o proper_a pole_n of_o the_o semicircle_n of_o the_o ecliptic_a in_o which_o it_o be_v for_o the_o ruler_n shall_v in_o the_o innermost_a circle_n of_o the_o limb_n on_o the_o south_n side_n cut_v the_o degree_n of_o the_o sun_n place_n in_o the_o ecliptic_a reckon_v it_o in_o the_o same_o manner_n as_o you_o do_v in_o find_v the_o sun_n right_a ascension_n and_o the_o arch_n thus_o find_v be_v call_v the_o longitude_n of_o the_o sun_n which_o may_v be_v expanse_v into_o sign_n by_o reckon_v on_o the_o limb_n from_o the_o west_n to_o south_n ♈_o ♉_o ♊_o and_o from_o south_n to_o east_n ♋_o ♌_o ♍_o then_o back_o again_o from_o east_n to_o south_n ♒_o ♏_o ♐_o and_o last_o from_o south_n to_o west_n ♑_o ♒_o ♓_o allow_v 30_o degree_n for_o each_o of_o those_o twelve_o sign_n vi_o use_n to_o find_v the_o diurnal_a arch_n or_o circle_n of_o the_o sun_n course_n every_o day_n the_o sun_n every_o day_n by_o his_o motion_n as_o have_v be_v say_v describe_v a_o circle_n parallel_v to_o the_o aequinoctial_a which_o be_v either_o one_o of_o the_o circle_n in_o the_o instrument_n or_o somewhere_o between_o two_o of_o they_o first_o then_o seek_v 〈◊〉_d of_o the_o month_n and_o if_o it_o fall_v upon_o one_o of_o those_o 〈◊〉_d that_o be_v the_o circle_n of_o the_o sun_n course_n that_o same_o day_n but_o if_o it_o fall_v between_o any_o two_o of_o those_o parallel_n imagine_v in_o your_o mind_n and_o estimate_n with_o your_o eye_n another_o parallel_n through_o that_o point_n between_o those_o two_o parallel_n keep_v still_o the_o same_o distance_n from_o each_o of_o they_o as_o in_o the_o first_o of_o the_o three_o former_a example_n the_o circle_n of_o the_o sun_n course_n upon_o the_o 11_o day_n of_o august_n shall_v be_v the_o very_a sixth_o parallel_n above_o the_o aequinoctial_a towards_o the_o centre_n in_o example_n ii_o the_o circle_n of_o the_o sun_n course_n upon_o the_o 24_o day_n of_o march_n shall_v be_v a_o imaginary_a circle_n between_o the_o second_o and_o three_o parallel_n still_o keep_v a_o half_a of_o that_o space_n and_o one_o five_o part_n more_o of_o the_o rest_n from_o the_o second_o in_o example_n iii_o the_o circle_n of_o the_o sun_n course_n upon_o the_o 13_o day_n of_o november_n shall_v be_v a_o imaginary_a circle_n between_o the_o ten_o and_o eleaventh_o parallel_n below_o the_o aequinoctial_a still_o keep_v one_o quarter_n of_o that_o space_n from_o the_o ten_o vii_o use_v to_o find_v the_o rise_n and_o set_v of_o the_o sun_n every_o day_n seek_v out_o as_o be_v last_o show_v the_o imaginary_a circle_n or_o parallel_v of_o the_o sun_n course_n for_o that_o day_n and_o mark_v the_o point_n where_o it_o meet_v with_o the_o horizon_n both_o on_o the_o east_n and_o west_n side_n thereof_o for_o that_o be_v the_o very_a point_n of_o the_o sun_n rise_v and_o set_v that_o same_o day_n and_o the_o hour_n line_n which_o be_v on_o both_o side_n of_o it_o by_o proportion_v the_o distance_n reasonable_o according_a to_o 15_o minute_n for_o the_o quarter_n of_o the_o hour_n will_v show_v the_o hour_n of_o the_o sun_n rise_v on_o the_o east_n side_n and_o the_o sun_n set_v on_o the_o west_n side_n viii_o use_v to_o know_v the_o reason_n and_o manner_n of_o the_o increase_v and_o decrease_v of_o the_o day_n and_o night_n throughout_o the_o whole_a year_n when_o the_o sun_n be_v in_o the_o aequinoctial_a it_o rise_v and_o set_v at_o 6_o a_o clock_n for_o in_o the_o instrument_n the_o intersection_n of_o the_o aequinoctial_a and_o the_o ecliptic_a with_o the_o horizon_n be_v in_o the_o 6_o a_o clock_n circle_n on_o both_o side_n but_o if_o the_o sun_n be_v out_o of_o the_o aequinoctial_a decline_v towards_o the_o north_n the_o intersection_n of_o the_o parallel_n of_o the_o sun_n with_o the_o horizon_n be_v before_o 6_o in_o the_o morning_n and_o after_o 6_o in_o the_o evening_n and_o the_o diurnal_a arch_n of_o the_o sun_n great_a than_o 12_o hour_n and_o so_o much_o more_o great_a the_o great_a the_o northern_a declination_n be_v again_o if_o the_o sun_n be_v decline_v towards_o the_o south_n the_o intersection_n of_o the_o parallel_n of_o the_o sun_n with_o the_o horizon_n be_v after_o 6_o in_o the_o morning_n and_o before_o 6_o in_o the_o evening_n and_o the_o diurnal_a arch_n lesser_a than_o 12_o

at_o that_o point_n and_o the_o pin_n upright_o in_o the_o centre_n hold_v or_o set_v your_o instrument_n parallel_v to_o the_o plain_a of_o the_o horizon_n with_o the_o pin_n towards_o the_o sun_n and_o move_v it_o gentle_o till_o the_o shadow_n of_o the_o pin_n shall_v fall_v exact_o upon_o the_o fiducial_a edge_n of_o the_o label_n for_o then_o the_o meridian_n line_n of_o the_o instrument_n shall_v be_v in_o the_o true_a meridian_n of_o the_o place_n and_o the_o four_o quarter_n of_o the_o instrument_n shall_v look_v into_o the_o four_o cardinal_a point_n of_o east_n west_n north_n and_o south_n wherefore_o if_o with_o a_o bodkin_n you_o make_v a_o prick_n at_o each_o end_n of_o the_o meridian_n of_o your_o instrument_n where_o it_o stand_v and_o with_o a_o ruler_n draw_v a_o line_n through_o they_o the_o same_o shall_v be_v the_o meridian_n of_o that_o place_n this_o be_v a_o most_o excellent_a practice_n for_o find_v out_o the_o meridian_n in_o any_o place_n and_o be_v in_o a_o instant_n perform_v and_o that_o easy_o and_o hereby_o you_o may_v examine_v the_o variation_n of_o the_o compass_n and_o also_o exact_o place_v any_o sun_n dial_n xx._n use_v consideration_n for_o the_o use_n of_o the_o instrument_n in_o the_o night_n in_o such_o question_n as_o concern_v the_o night_n or_o the_o time_n before_o sun_n rise_v and_o after_o sun_n set_v the_o instrument_n represent_v the_o low_a hemisphere_n wherein_o the_o southern_a pole_n be_v elevate_v and_o therefore_o the_o parallel_n which_o be_v above_o the_o aequinoctial_a shall_v be_v for_o the_o southern_a or_o winter_n parallel_n and_o those_o beneath_o the_o aequinoctial_a for_o the_o northern_a or_o summer_n parallel_n and_o the_o east_n shall_v be_v account_v for_o west_n and_o the_o west_n for_o east_n and_o the_o north_n shall_v be_v account_v for_o south_n and_o the_o south_n for_o north_n contrary_a to_o that_o which_o be_v before_o when_o the_o instrument_n represent_v the_o upper_a hemisphere_n xxi_o use_v to_o find_v how_o many_o degree_n the_o sun_n be_v under_o the_o horizon_n at_o any_o time_n of_o the_o night_n seek_v the_o declination_n of_o the_o sun_n for_o the_o day_n propose_v and_o at_o the_o same_o declination_n on_o the_o contrary_a side_n imagine_v a_o parallel_n for_o the_o sun_n that_o night_n and_o mark_v what_o point_n of_o it_o be_v in_o the_o very_a hour_n and_o minute_n propose_v then_o set_v the_o index_n or_o label_n to_o that_o point_n of_o the_o parallel_n and_o it_o will_v show_v you_o thereon_o the_o degree_n of_o the_o sun_n depression_n under_o the_o horizon_n xxii_o use_v to_o find_v out_o the_o length_n of_o the_o crepusculum_fw-la or_o twilight_n every_o day_n because_o the_o question_n concern_v the_o night_n time_n you_o must_v seek_v out_o the_o sun_n parallel_n for_o the_o night_n on_o the_o other_o side_n of_o the_o aequinoctial_a have_v the_o same_o declination_n with_o that_o which_o the_o day_n of_o the_o month_n show_v then_o move_v about_o the_o label_n until_o the_o say_a parallel_n cut_v the_o edge_n thereof_o in_o the_o 18_o deg_fw-la on_o the_o west_n side_n for_o the_o morning_n twilight_n and_o on_o the_o east_n side_n for_o the_o evening_n twilight_n of_o the_o same_o day_n and_o note_v that_o in_o the_o height_n of_o summer_n the_o twilight_n in_o our_o horizon_n continue_v all_o night_n long_o because_o the_o same_o go_v not_o under_o the_o horizon_n full_o 18_o degree_n xxiii_o use_v to_o find_v the_o declination_n of_o any_o wall_n or_o plain_a take_v a_o board_n have_v one_o straight_o edge_n and_o a_o line_n draw_v perpendicular_a unto_o that_o edge_n apply_v the_o straight_a edge_n unto_o the_o wall_n at_o what_o time_n the_o sun_n shine_v thereon_o hold_v the_o board_n parallel_n to_o the_o plain_a of_o the_o horizon_n and_o hang_v up_o a_o thread_n with_o a_o plummet_n so_o that_o the_o shadow_n of_o the_o thread_n may_v fall_v on_o the_o board_n cross_v that_o perpendicular_a line_n then_o take_v with_o your_o instrument_n the_o height_n of_o the_o sun_n and_o instant_o make_v two_o prick_n in_o the_o shadow_n of_o the_o thread_n on_o the_o board_n a_o good_a way_n distant_a one_o from_o the_o other_o and_o lay_v a_o ruler_n to_o those_o two_o prick_n draw_v a_o line_n which_o line_n shall_v be_v the_o azumith_n of_o the_o sun_n on_o the_o board_n again_o with_o the_o height_n of_o the_o sun_n last_o take_v find_v out_o on_o your_o instrument_n the_o azumith_n of_o the_o sun_n or_o the_o angle_n which_o the_o sun_n azumith_n make_v with_o the_o meridian_n by_o the_o xv._o use_v and_o on_o the_o board_n take_v the_o intersection_n of_o the_o shadow_n line_n with_o the_o perpendicular_a for_o the_o centre_n describe_v a_o circle_n equal_a to_o the_o innermost_a circle_n of_o the_o limb_n which_o you_o may_v easy_o do_v if_o you_o set_v one_o foot_n of_o your_o compass_n upon_o the_o east_n or_o west_n point_n and_o extend_v the_o other_o foot_n unto_o 60_o degree_n on_o the_o same_o innermost_a circle_n for_o this_o distance_n be_v equal_a to_o the_o radius_fw-la thereof_o again_o with_o your_o compass_n take_v of_o the_o arch_n between_o the_o azumith_n of_o your_o instrument_n and_o the_o meridian_n and_o set_v that_o on_o the_o circle_n of_o the_o board_n that_o way_n that_o the_o true_a south_n be_v and_o through_o the_o end_n of_o that_o arch_n measure_v on_o the_o board_n draw_v a_o straight_a line_n for_o the_o meridian_n last_o take_v with_o your_o compass_n the_o arch_n intercept_v between_o the_o meridian_n on_o the_o board_n and_o the_o perpendicular_a line_n and_o by_o apply_v it_o to_o the_o in_o most_o circle_n of_o the_o limb_n from_o the_o east_n or_o west_n point_n see_v how_o many_o degree_n it_o contain_v for_o that_o be_v the_o declination_n of_o the_o wall_n or_o else_o you_o may_v find_v the_o meridian_n upon_o the_o board_n by_o xix_o use_v if_o the_o angle_n of_o the_o meridian_n with_o the_o perpendicular_a on_o the_o board_n be_v a_o right_a angle_n the_o wall_n be_v direct_a east_n or_o west_n but_o if_o the_o meridian_n fall_v upon_o the_o perpendicular_a or_o be_v parallel_n there_o to_o make_v no_o angle_n with_o it_o the_o wall_n be_v direct_a north_n or_o south_n xxiiii_o use_v the_o art_n of_o dyall_v and_o first_o how_o to_o make_v the_o instrument_n in_o paper_n promise_v in_o the_o begin_n of_o this_o second_o part_n for_o the_o delincation_n of_o this_o instrument_n in_o paper_n it_o will_v be_v necessary_a first_o to_o show_v the_o manner_n how_o the_o semidiameter_n be_v to_o be_v graduate_v or_o divide_v into_o degree_n and_o how_o the_o centre_n and_o semidiameter_n of_o the_o several_a kind_n of_o arch_n be_v to_o be_v find_v upon_o half_a a_o sheet_n of_o strong_a large_a dutch_a paper_n the_o large_a the_o better_a draw_v two_o straight_a line_n make_v a_o right_a angle_n near_o one_o of_o the_o corner_n the_o one_o through_o the_o length_n and_o the_o other_o through_o the_o breadth_n of_o the_o paper_n which_o two_o line_n i_o therefore_o call_v the_o long_o and_o the_o short_a perpendicular_a upon_o the_o right_a angle_n point_n be_v the_o centre_n with_o a_o semidiameter_n equal_a to_o that_o by_o which_o you_o intend_v to_o delineate_v your_o instrument_n describe_v a_o quadrant_a of_o a_o circle_n and_o on_o the_o point_n where_o it_o meet_v with_o the_o short_a perpendicular_a draw_v a_o long_a tangent_fw-la line_n parallel_n to_o the_o long_a pependicular_a divide_v the_o quadrant_n into_o 90_o degree_n among_o which_o from_o the_o begin_n at_o the_o short_a perpendicular_a reckon_v the_o elevation_n of_o the_o pole_n for_o which_o you_o will_v make_v your_o instrument_n and_o apply_v a_o ruler_n to_o the_o end_n thereof_o and_o to_o the_o centre_n where_o the_o ruler_n cut_v the_o tangent_fw-la line_n make_v a_o prick_n and_o take_v with_o your_o compass_n the_o distance_n from_o the_o centre_n to_o that_o prick_n measure_v it_o upon_o the_o short_a perpendicular_a this_o shall_v be_v the_o semidiameter_n of_o the_o sixth_o hour_n circle_n at_o the_o end_n thereof_o draw_v another_o long_a line_n parallel_v also_o to_o the_o long_a perpendicular_a then_o out_o of_o the_o centre_n unto_o the_o second_o parallel_n through_o every_o degree_n of_o the_o quadrant_a draw_v fine_a straight_a line_n cut_v also_o the_o first_o parallel_n the_o intersection_n of_o those_o line_n with_o the_o first_o parallel_n shall_v be_v the_o scale_n of_o centre_n of_o arch_n and_o their_o intersection_n with_o the_o second_o parallel_n shall_v be_v the_o scale_n of_o centre_n of_o hour_n circle_n and_o the_o segment_n of_o those_o line_n intercept_v between_o the_o centre_n and_o the_o first_o parallel_n shall_v be_v the_o semidiameter_n of_o arch_n and_o the_o whole_a line_n between_o the_o centre_n and_o the_o second_o parallel_n

hour_n and_o by_o so_o much_o lesser_a the_o great_a the_o southern_a declination_n be_v and_o in_o those_o place_n of_o the_o ecliptic_a in_o which_o the_o sun_n most_o speedy_o change_v his_o declination_n the_o length_n also_o of_o the_o day_n be_v most_o alter_v and_o where_o the_o ecliptic_a go_v most_o parallel_n to_o the_o aequinoctial_a change_v the_o declination_n but_o little_a the_o length_n of_o the_o day_n also_o be_v but_o little_o alter_v as_o for_o example_n when_o the_o sun_n be_v near_o unto_o the_o aequinoctial_a on_o both_o side_n the_o day_n increase_n and_o also_o decrease_v sudden_o and_o apace_o because_o in_o those_o place_n the_o ecliptic_a incline_v to_o the_o aequinoctial_a in_o a_o manner_n like_o a_o straight_a line_n make_v sensible_a declination_n again_o when_o the_o sun_n be_v near_o his_o great_a declination_n as_o in_o the_o height_n of_o the_o summer_n and_o the_o depth_n of_o winter_n the_o day_n keep_v for_o a_o good_a time_n as_o it_o be_v at_o one_o stay_v because_o in_o those_o place_n the_o ecliptic_a be_v in_o a_o manner_n parallel_v to_o the_o aequinoctial_a scarce_o alter_v the_o declination_n and_o because_o in_o those_o two_o time_n of_o the_o year_n the_o sun_n stand_v as_o it_o be_v still_o at_o one_o declination_n they_o be_v call_v the_o summer_n solstice_n and_o the_o winter_n solstice_n and_o in_o the_o mean_a space_n the_o near_a every_o place_n be_v to_o the_o aequinoctial_a the_o great_a be_v the_o diversity_n of_o day_n wherefore_o we_o may_v hereby_o plain_o see_v that_o the_o common_a receive_a opinion_n that_o in_o every_o month_n the_o day_n do_v equal_o increase_v be_v erroneous_a also_o we_o may_v see_v that_o in_o parallel_n equal_o distant_a from_o the_o aequinoctial_a the_o day_n on_o the_o one_o side_n be_v equal_a to_o the_o night_n on_o the_o other_o side_n ix_o use_v to_o find_v the_o ascensionall_a difference_n of_o the_o sun_n every_o day_n seek_v out_o the_o time_n of_o the_o sun_n rise_v or_o set_v that_o same_o day_n by_o the_o vii_o use_n and_o see_v how_o much_o it_o differ_v from_o six_o a_o clock_n then_o convert_v the_o same_o difference_n into_o degree_n as_o be_v teach_v in_o 1_o part._n chap._n 12._o sect._n 1._o by_o multiply_v the_o hour_n with_o their_o decimall_n part_n by_o 15._o and_o so_o have_v you_o the_o ascensionall_a difference_n for_o that_o day_n x._o use_n to_o find_v out_o the_o oblique_a ascension_n of_o the_o sun_n every_o day_n seek_v out_o the_o sun_n right_a ascension_n by_o the_o four_o use_n and_o the_o ascensionall_a difference_n by_o the_o ix_o use_n and_o if_o the_o sun_n be_v in_o the_o first_o semicircle_n of_o the_o ecliptic_a subduct_v the_o ascensionall_a difference_n out_o of_o the_o right_a ascension_n but_o if_o the_o sun_n be_v in_o the_o second_o semicircle_n of_o the_o ecliptic_a add_v the_o ascensionall_a difference_n to_o the_o right_a ascension_n and_o you_o shall_v have_v the_o oblique_a ascension_n xi_o use_v to_o find_v how_o far_o the_o sun_n rise_v and_o set_v from_o the_o true_a east_n and_o west_n point_n which_o be_v call_v the_o sun_n amplitude_n ortive_a and_o occasive_a seek_v out_o as_o be_v show_v in_o the_o vi_o use_n the_o imaginary_a circle_n or_o parallel_v of_o the_o sun_n course_n and_o the_o point_n of_o that_o circle_n in_o the_o horizon_n on_o the_o east_n and_o west_n side_n cut_v the_o degree_n of_o the_o amplitude_n ortive_a and_o occasive_a xii_o use_v to_o find_v the_o length_n of_o every_o day_n and_o night_n double_o the_o hour_n of_o the_o sun_n set_v and_o you_o shall_v have_v the_o length_n of_o the_o day_n and_o double_v the_o hour_n of_o the_o sun_n rise_v and_o you_o shall_v have_v the_o length_n of_o the_o night_n xiii_o use_v to_o find_v the_o true_a place_n of_o the_o sun_n upon_o the_o instrument_n which_o answer_v to_o the_o point_n wherein_o the_o sun_n be_v in_o the_o heaven_n and_o be_v the_o ground_n of_o all_o the_o question_n follow_v take_v with_o your_o instrument_n the_o height_n of_o the_o sun_n and_o reckon_v it_o on_o the_o movable_a index_n or_o label_n and_o then_o move_v the_o say_a label_n till_o you_o find_v the_o height_n of_o the_o sun_n exact_o to_o fall_v upon_o the_o parallel_n of_o the_o sun_n for_o that_o day_n on_o the_o east_n side_n if_o it_o be_v in_o the_o forenoon_n and_o on_o the_o west_n side_n if_o it_o be_v in_o the_o afternoon_n the_o point_n of_o intersection_n where_o the_o index_n or_o label_n cross_v the_o parallel_n in_o that_o point_n of_o the_o sun_n altitude_n shall_v be_v the_o true_a place_n of_o the_o sun_n on_o the_o instrument_n xiiii_o use_v to_o find_v the_o hour_n of_o the_o day_n the_o true_a place_n of_o the_o sun_n on_o the_o instrument_n find_v out_o as_o be_v last_o show_v show_v among_o the_o hour_n line_n the_o true_a hour_n of_o the_o day_n xv._o use_v to_o find_v out_o the_o azumith_n or_o vertical_a circle_n in_o which_o the_o sun_n be_v or_o the_o horizontall_a distance_n of_o the_o sun_n from_o the_o meridian_n the_o index_n or_o label_n fasten_v at_o the_o centre_n be_v a_o movable_a azumith_n apply_v therefore_o the_o edge_n thereof_o unto_o the_o true_a place_n of_o the_o sun_n on_o the_o instrument_n find_v out_o as_o be_v show_v by_o xiii_o use_v and_o mark_v what_o point_n of_o the_o horizon_n or_o limb_n the_o same_o edge_n of_o the_o label_n cut_v reckon_v how_o many_o degree_n of_o the_o horizon_n be_v intercept_v between_o that_o point_n and_o the_o meridian_n line_n or_o south_n point_n either_o on_o the_o east_n or_o west_n side_n and_o that_o arch_n shall_v be_v the_o horizontall_a distance_n seek_v for_o whereby_o be_v show_v the_o azumith_n of_o the_o sun_n at_o that_o instant_n and_o consequent_o the_o angle_n which_o the_o vertical_a circle_n or_o azumith_n of_o the_o sun_n make_v with_o the_o meridian_n xvi_o use_v the_o azumith_n of_o the_o sun_n be_v know_v to_o find_v out_o the_o altitude_n of_o the_o sun_n and_o the_o hour_n of_o the_o day_n set_a the_o edge_n of_o the_o label_n to_o the_o azumith_n give_v and_o mark_v in_o what_o point_n the_o same_o edge_n cross_v the_o parallel_n of_o the_o sun_n for_o that_o day_n that_o point_n of_o intersection_n show_v the_o height_n of_o the_o sun_n above_o the_o horizon_n upon_o the_o label_n and_o also_o it_o show_v the_o hour_n of_o the_o day_n among_o the_o hour_n line_n xvii_o use_v to_o find_v at_o what_o hour_n the_o sun_n come_v to_o be_v full_a east_n or_o west_n every_o day_n in_o summer_n apply_v the_o edge_n of_o the_o label_n unto_o the_o east_n or_o west_n point_v of_o the_o limb_n and_o mark_v in_o what_o point_n the_o say_a edge_n cut_v the_o parallel_n of_o the_o sun_n for_o that_o day_n for_o that_o same_o point_n among_o the_o hour_n line_n shall_v show_v the_o time_n of_o the_o sun_n come_v to_o be_v full_a east_n or_o west_n in_o that_o day_n and_o likewise_o of_o what_o altitude_n the_o sun_n will_v be_v above_o the_o horizon_n at_o that_o time_n of_o his_o be_v full_a east_n or_o west_n xviii_o use_v to_o find_v the_o height_n of_o the_o sun_n at_o high_a noon_n every_o day_n and_o likewise_o at_o every_o other_o hour_n mark_v in_o what_o point_n the_o parallel_n of_o the_o sun_n for_o that_o day_n cut_v the_o line_n of_o that_o hour_n for_o which_o you_o will_v know_v the_o sun_n altitude_n and_o unto_o that_o point_n of_o intersection_n apply_v the_o edge_n of_o the_o movable_a label_n or_o index_n and_o thereon_o shall_v you_o find_v the_o very_a degree_n of_o the_o sun_n altitude_n at_o that_o hour_n by_o this_o xviii_o use_n and_o by_o the_o xvi_o be_v make_v the_o quadrant_n describe_v by_o gemma_fw-la frizius_n munster_n clavin_n mr._n gunter_n and_o other_o and_o also_o all_o manner_n of_o ring_n cylinder_n &_o invumerable_a other_o topical_a instrument_n for_o the_o find_v out_o of_o the_o hour_n and_o other_o like_a conclusion_n and_o likewise_o the_o reason_n of_o find_v the_o hour_n of_o the_o day_n by_o a_o man_n shadow_n or_o by_o the_o shadow_n of_o any_o gnomon_n set_v up_o perpendicular_a to_o the_o horizon_n or_o else_o parallel_v to_o it_o xix_o use_v to_o find_v out_o the_o meridian_n line_n and_o the_o point_n of_o the_o compass_n without_o a_o magnetical_a needle_n yea_o more_fw-it exact_o then_o with_o a_o needle_n take_v the_o height_n of_o the_o sun_n by_o the_o shadow_n of_o the_o pin_n and_o apply_v the_o same_o height_n reckon_v on_o the_o index_n or_o label_n to_o the_o parallel_n of_o the_o sun_n for_o that_o day_n whereby_o you_o have_v the_o true_a place_n of_o the_o sun_n in_o the_o instrument_n as_o have_v be_v show_v in_o the_o xiii_o use_v then_o keep_v both_o the_o label_n