Selected quad for the lemma: day_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
day_n	half_a	hour_n	quarter_n	7,627	5	11.1436	5	true

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A29761	The description and use of the trianguler quadrant being a particular and general instrument, useful at land or sea, both for observation and operation : more universally useful, portable and convenient, than any other yet discovered, with its uses in arithmetick, geometry, superficial and solid, astronomy, dyalling, three wayes, gaging, navigation, in a method not before used / by John Brown, philomath.	Brown, John, philomath.	1671 (1671)	Wing B5041; ESTC R15524	175,812	507

place_n the_o change-day_n and_o open_v the_o other_o to_o the_o beginning_n or_o the_o end_n of_o the_o line_n of_o 24_o hour_n then_o the_o same_o extent_n apply_v the_o contrary_a way_n from_o 6_o hour_n or_o 7_o day_n and_o a_o half_a the_o moon_n age_n shall_v give_v 28_o deg_n 58_o min._n ♈_o to_o which_o you_o must_v add_v 7_o degree_n and_o 30_o minute_n the_o sun_n place_n between_o and_o the_o sum_n shall_v be_v the_o moon_n true_a place_n require_v viz._n 6-28_a degree_n in_o ♉_o example_n if_o the_o moon_n change_v on_o the_o 8_o day_n the_o first_o quarter_n be_v 7_o day_n and_o a_o half_a after_o will_v be_v on_o the_o 15_o day_n late_a at_o night_n then_o the_o difference_n between_o the_o sun_n and_o moon_n right_a ascension_n will_v be_v find_v to_o be_v near_o 6_o hour_n for_o the_o sun_n right_a ascension_n january_n 15_o be_v 8-32_a and_o the_o moon_n right_a ascension_n the_o same_o day_n be_v about_o 8_o degree_n and_o a_o half_a in_o ♉_o be_v 2_o hour_n and_o 28_o minute_n if_o you_o take_v the_o distance_n between_o they_o on_o the_o 24_o hour_n it_o be_v near_o 6_o hour_n which_o be_v the_o difference_n of_o time_n between_o the_o moon_n and_o the_o sun_n hour_n again_o for_o the_o full_a moon_n on_o the_o 22_o day_n near_o 4_o hour_n after_o noon_n the_o moon_n age_n be_v 14_o day_n ¾_n if_o you_o add_v 12_o hour_n or_o 6_o sign_n to_o the_o moon_n place_n a●_n the_o change_n you_o shall_v find_v ♋_o 29-0_a to_o which_o if_o you_o add_v 14-45_a the_o day_n between_o the_o new_a and_o full_a you_o shall_v find_v ♌_o 13_o deg_n 45_o min._n for_o the_o moon_n place_n the_o sun_n right_a ascension_n the_o 22_o day_n be_v 9_o hour_n and_o the_o moon_n the_o same_o day_n at_o 1_o afternoon_n be_v 9_o hour_n also_o or_o rather_o 12_o difference_n so_o that_o the_o sun_n hour_n and_o the_o moon_n be_v equal_a only_o one_o be_v north_n and_o the_o other_o south_n again_o for_o the_o last_o quarter_n 22_o ¼_n day_n or_o 18_o hour_n add_v and_o 22_o degree_n also_o together_o makes_z ♏_o 22_o deg_n 11_o min._n for_o the_o moon_n place_n by_o help_n of_o which_o to_o find_v the_o moon_n hour_n by_o her_o altitude_n above_o the_o horizon_n find_v by_o observation_n or_o without_o regard_v the_o sun_n or_o moon_n right_a ascension_n have_v her_o true_a age_n and_o hour_n say_v thus_o as_o 12_o on_o the_o line_n of_o 24_o hour_n be_v to_o the_o moon_n age_n in_o the_o line_n of_o her_o age_n so_o be_v the_o moon_n hour_n to_o the_o true_a hour_n for_o the_o extent_n from_o 12_o in_o the_o middle_n to_o the_o moon_n age_n under_o or_o over_o the_o middle_n shall_v reach_v the_o same_o way_n on_o the_o same_o line_n from_o the_o moon_n hour_n to_o the_o true_a hour_n the_o like_a work_n serve_v to_o find_v the_o hour_n of_o the_o night_n by_o any_o planet_n as_o saturn_n mars_n or_o jupiter_n which_o be_v see_v to_o shine_v very_o brave_a and_o bright_a in_o winter_n evening_n and_o have_v learn_v their_o place_n by_o their_o distance_n from_o the_o fix_a star_n or_o by_o the_o ephemerides_n than_o their_o altitude_n and_o place_n will_v find_v their_o hour_n from_o the_o meridian_n and_o the_o compare_v their_o right_a ascension_n with_o the_o sun_n give_v the_o true_a hour_n as_o before_o in_o the_o fixed-star_n use_v xlv_o to_o find_v the_o moon_n place_n and_o declination_n without_o the_o ephemerides_n somewhat_o near_o first_o observe_v when_o the_o moon_n be_v in_o the_o meridian_n and_o then_o find_v her_o altitude_n and_o take_v the_o same_o from_o the_o particular_a scale_n between_o your_o compass_n then_o set_v one_o point_n in_o the_o hour_n 12_o and_o lay_v the_o thread_n to_o nd_o and_o on_o the_o degree_n it_o shall_v show_v the_o moon_n declination_n and_o in_o the_o line_n of_o the_o sun_n place_n the_o moon_n present_a place_n count_v her_o progress_n orderly_o from_o the_o last_o change-day_n or_o new_a moon_n when_o she_o be_v with_o the_o sun_n otherwise_o thus_o observe_v what_o hour_n the_o moon_n show_v on_o any_o sundial_n at_o the_o same_o instance_n by_o the_o fix_a star_n or_o other_o way_n find_v the_o true_a hour_n then_o the_o extent_n from_o the_o moon_n hour_n to_o the_o the_o true_a hour_n shall_v reach_v the_o same_o way_n from_o 12_o to_o the_o moon_n age_n right_a against_o which_o be_v her_o come_n to_o south_n at_o which_o time_n you_o may_v find_v her_o true_a altitude_n and_o so_o come_v by_o her_o declination_n yet_o again_o for_o her_o age_n and_o place_n according_a to_o mr._n street_n and_o mr._n blundevil_n add_v the_o epact_n the_o month_n and_o day_n of_o month_n in_o one_o sum_n count_v the_o month_n from_o march_n by_z call_z march_z the_o first_o month_n april_n the_o second_o etc._n etc._n then_o that_o sum_n if_o under_o 30_o be_v the_o moon_n age_n but_o if_o the_o sum_n be_v above_o 30_o then_o subtract_v 30_o and_o the_o remainder_n be_v the_o moon_n age_n when_o the_o month_n have_v 31_o day_n but_o if_o the_o month_n have_v but_o 30_o or_o less_o than_o 30_o day_n then_o subtract_v but_o 29_o and_o the_o remainder_n be_v the_o moon_n age._n or_o thus_o add_v to_o the_o epact_n for_o the_o present_a year_n and_o in_o january_n 0_o in_o february_n 2_o in_o march_z 1_o in_o april_n 2_o in_o may_v 3_o in_o june_n 4_o in_o july_n 5_o in_o august_n 6_o in_o september_n 8_o in_o october_n 8_o in_o november_n 10_o in_o december_n 10_o and_o the_o sum_n if_o under_o 30_o or_o the_o excess_n above_o 30_o add_v to_o the_o day_n of_o the_o month_n abate_v 30_o if_o need_v be_v give_v the_o moon_n age_n that_o day_n but_o substract_v from_o 30_o leave_v the_o day_n of_o her_o change_n in_o that_o month_n or_o from_o the_o 〈…〉_z month_n example_n july_n 10._o 1668._o the_o epact_n that_o year_n be_v 26_o and_o the_o number_n for_o july_n be_v 5_o the_o excess_n above_o 30_o be_v 1_o which_o add_v to_o any_o day_n of_o the_o month_n as_o to_o 10_o gives_z 11_o for_o the_o moon_n age_n july_n 10._o 1668._o then_o for_o the_o moon_n place_n multiply_v the_o moon_n age_n by_o 4_o and_o the_o product_v divide_v by_o 10_o the_o quotient_n give_v the_o sign_n and_o the_o remainder_n multiply_v by_o 3_o gives_z the_o degree_n which_o you_o must_v add_v to_o the_o sun_n place_n that_o day_n to_o find_v out_o the_o moon_n place_n for_o that_o day_n of_o her_o age._n example_n on_o july_n 10._o 1668_o the_o moon_n age_n be_v 11_o which_o multiply_v by_o 4_o make_v 44_o and_o 44_o divide_v by_o 10_o gives_z 4_o sign_n in_o the_o quotient_a and_o 4_o the_o remainder_n multiply_v by_o 3_o make_v 12_o degree_n more_o which_o add_v to_o cancer_n 29_o degree_n the_o sun_n place_n on_o the_o 10_o day_n of_o july_n make_v 11_o degree_n in_o sagittarius_fw-la the_o moon_n place_n the_o same_o day_n propè_fw-la verum_fw-la or_o rather_o by_o the_o rule_n thus_o on_o the_o line_n of_o 24_o hour_n by_o particular_a scale_n have_v the_o moon_n place_n to_o find_v her_o age_n by_o the_o line_n of_o 24_o hour_n the_o extent_n from_o the_o sun_n true_a place_n to_o the_o moon_n true_a place_n shall_v reach_v the_o same_o way_n from_o 0_o day_n to_o the_o day_n of_o her_o age._n or_o contrary_o have_v the_o moon_n true_a age_n to_o find_v her_o true_a place_n the_o extent_n from_o 0_o day_n old_a to_o the_o moon_n true_a age_n shall_v reach_v the_o same_o way_n from_o the_o sun_n true_a place_n to_o the_o moon_n or_o have_v the_o moon_n true_a place_n at_o the_o new_a moon_n to_o find_v her_o place_n any_o day_n of_o her_o age_n after_o the_o extent_n from_o ♈_o to_o the_o moon_n true_a place_n at_o the_o change_n shall_v reach_v the_o same_o way_n from_o the_o day_n of_o her_o true_a age_n to_o her_o true_a place_n add_v as_o many_o degree_n to_o the_o number_n find_v as_o the_o moon_n be_v day_n old_a then_o have_v her_o place_n and_o age_n it_o be_v easy_a to_o find_v the_o moon_n hour_n and_o then_o her_o true_a hour_n but_o i_o fear_v i_o spend_v herein_o too_o much_o time_n on_o a_o uncertain_a subject_n use_v xlvi_o the_o right_a ascention_n and_o declination_n of_o any_o star_n with_o the_o sun_n right_a ascension_n and_o the_o hour_n of_o the_o night_n give_v to_o find_v the_o altitude_n and_o azimuth_n of_o that_o star_n and_o thereby_o to_o know_v the_o star_n if_o you_o know_v it_o not_o before_o set_a one_o point_n of_o the_o compass_n in_o the_o star_n right_a ascension_n find_v in_o the_o line_n of_o twice_o 12_o hour_n and_o open_v the_o other_o to_o the_o sun_n right_a ascension_n find_v in_o the_o same_o line_n then_o this_o

extent_n shall_v reach_v in_o the_o same_o line_n from_o the_o true_a hour_n of_o the_o night_n to_o the_o star_n hour_n from_o the_o meridian_n then_o lay_v the_o thread_n to_o the_o star_n declination_n the_o nd_o from_o the_o star_n hour_n in_o the_o line_n of_o hour_n to_o the_o thread_n measure_v on_o the_o particular_a scale_n of_o altitude_n give_v the_o star_n altitude_n then_o by_o his_o declination_n and_o altitude_n you_o may_v soon_o find_v his_o azimuth_n by_o use_v 27._o and_o if_o the_o instrument_n be_v neat_o fix_v to_o a_o foot_n to_o set_v north_n and_o south_n and_o turn_v to_o any_o azimuth_n and_o altitude_n you_o may_v find_v any_o star_n at_o any_o time_n convenient_a and_o visible_a use_v xlvii_o the_o altitude_n and_o azimuth_n of_o any_o star_n be_v give_v to_o find_v his_o declination_n lay_v the_o thread_n to_o the_o altitude_n on_o the_o degree_n count_v from_o 600_o towards_o the_o end_n then_o set_v one_o point_n on_o the_o star_n azimuth_n count_v in_o the_o azimuth_n line_n and_o take_v the_o nd_o from_o thence_o to_o the_o thread_n which_o distance_n measure_v from_o the_o begin_n of_o the_o particular_a scale_n of_o altitude_n shall_v give_v the_o declination_n if_o the_o compass_n stand_v on_o the_o rightside_n of_o the_o thread_n than_o the_o declination_n be_v north_n if_o on_o the_o left_a it_o be_v south_n according_a as_o you_o work_v for_o the_o sun_n azimuth_n in_o a_o particular_a latitude_n use_v xlviii_o the_o altitude_n and_o declination_n of_o any_o star_n with_o the_o right_a ascension_n of_o the_o sun_n and_o the_o true_a hour_n of_o the_o night_n give_v to_o find_v the_o right_a ascension_n of_o that_o star_n first_o by_o the_o 43d_o use_v find_v the_o star_n hour_n viz._n how_o many_o hour_n and_o minute_n it_o want_v of_o come_v to_o or_o be_v past_o the_o meridian_n then_o the_o extent_n of_o the_o compass_n on_o the_o line_n of_o 24_o hour_n on_o the_o head-leg_n from_o the_o star_n hour_n to_o the_o true_a hour_n shall_v reach_v the_o same_o way_n from_o the_o sun_n right_a ascension_n to_o the_o star_n right_a ascension_n on_o the_o line_n of_o twice_o 12_o or_o 24_o hour_n use_v xlix_o to_o find_v when_o any_o fixed-star_n come_v to_o south_n by_o the_o line_n of_o twice_o 12_o or_o 24_o hour_n in_o use_v 42_o section_n 4_o you_o have_v the_o way_n by_o substraction_n with_o its_o caution_n but_o by_o the_o line_n of_o twice_o 12_o or_o 24_o hour_n work_v thus_o count_v the_o sun_n right_a ascension_n on_o that_o line_n and_o take_v the_o distance_n from_o thence_o to_o the_o next_o 12_o backward_o viz._n that_o at_o ♈_o at_o the_o begin_n of_o the_o line_n when_o the_o sun_n right_a ascension_n be_v under_o 12_o hour_n or_o to_o the_o next_o 12_o in_o the_o middle_n of_o the_o rule_n at_o ♎_o when_o the_o sun_n right_a ascension_n be_v above_o 12_o hour_n which_o be_v nothing_o but_o a_o reject_v 12_o for_o more_o conveniency_n then_o the_o same_o extent_n lay_v the_o same_o way_n from_o the_o star_n right_a ascension_n shall_v reach_v to_o the_o star_n come_v to_o south_n or_o the_o extent_n from_o the_o sun_n to_o the_o star_n right_a ascension_n shall_v reach_v the_o same_o way_n from_o 12_o to_o the_o star_n come_v to_o south_n example_n for_o the_o lyons-heart_n august_n 20._o the_o sun_n right_a ascension_n the_o 20_o of_o august_n be_v 10_o hour_n 36_o minute_n the_o right_a ascension_n of_o the_o lions-heart_n be_v 9_o hour_n and_o 50_o min._n therefore_o the_o extent_n from_o 10_o hour_n 35_o min._n to_o the_o beginning_n shall_v reach_v the_o same_o way_n from_o 9_o hour_n 50_o min._n by_o borrow_v 12_o hour_n because_o the_o sun_n right_a ascension_n be_v more_o than_o the_o star_n to_o 11_o hour_n 13_o min._n of_o the_o next_o day_n viz._n at_o a_o quarter_n past_o 11_o or_o at_o 11_o hour_n and_o 13_o min._n the_o same_o day_n where_o you_o may_v observe_v that_o the_o remainder_n be_v above_o 12_o if_o you_o add_v 24_o hour_n the_o time_n of_o sothe_v be_v between_o midnight_n and_o midday_n next_o follow_v use_v l._n to_o find_v what_o two_o day_n in_o the_o year_n be_v of_o equal_a length_n and_o the_o sun_n rise_v and_o set_v lay_v the_o thread_n on_o any_o one_o day_n in_o the_o upper_a line_n of_o month_n and_o day_n and_o at_o the_o same_o time_n the_o thread_n cut_v in_o the_o lower-line_n of_o month_n the_o day_n that_o be_v answerable_a to_o it_o in_o length_n rise_v set_v and_o declination_n and_o other_o requisite_n example_n the_o one_a of_o april_n and_o the_o 21_o of_o august_n be_v day_n of_o equal_a length_n and_o the_o sun_n rise_v and_o set_v be_v the_o same_o on_o both_o those_o day_n only_o in_o the_o upper-line_n the_o day_n be_v increase_v in_o length_n and_o in_o the_o lower-line_n they_o be_v decrease_v use_v li._n 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 hour_n the_o declination_n and_o hour_n be_v give_v count_n the_o sun_n declination_n on_o the_o degree_n the_o contrary_a way_n viz._n for_o north_n declination_n count_v from_o 600_o towards_o the_o end_n and_o count_v for_o southern_a declination_n towards_o the_o head_n and_o thereunto_o lie_v the_o thread_n then_o take_v the_o near_a distance_n from_o the_o hour_n give_v to_o the_o thread_n this_o distance_n measure_v in_o the_o particular_a scale_n of_o altitude_n shall_v show_v the_o sun_n depression_n under_o the_o horizon_n at_o that_o hour_n example_n january_n the_o 10_o at_o 8_o at_o night_n how_o many_o degree_n be_v the_o sun_n under_o the_o horizon_n on_o that_o day_n and_o hour_n the_o sun_n declination_n be_v about_o 20_o degree_n south_n then_o if_o i_o lay_v the_o thread_n to_o 20_o degree_n of_o declination_n north_n and_o take_v the_o near_a distance_n from_o 8_o to_o the_o thread_n that_o distance_n i_o say_v measure_v in_o the_o particular_a scale_n give_v 34_o degree_n and_o 9_o min._n for_o the_o sun_n depression_n under_o the_o horizon_n of_o 8_o afternoon_n to_o do_v this_o in_o other_o latitude_n you_o be_v to_o find_v the_o sun_n altitude_n at_o 8_o in_o northern_a declination_n by_o use_v 37._o chap._n xvii_o the_o use_n of_o the_o triangule_a quadrant_n in_o find_v of_o height_n and_o distance_n accessable_a or_o inaccessible_a use_v i._o to_o find_v a_o altitude_n at_o one_o station_n first_o the_o triangule_a quadrant_n be_v rectify_v and_o fix_v to_o a_o ball_n and_o socket_n and_o three-legged-staff_n be_v necessary_a in_o these_o operation_n to_o perform_v they_o exact_o especial_o for_o distance_n look_v up_o to_o the_o object_n as_o you_o will_v to_o a_o star_n and_o observe_v what_o degree_n and_o minute_n the_o thread_n cut_v and_o set_v it_o down_o also_o observe_v the_o place_n where_o you_o stand_v at_o the_o time_n of_o observation_n and_o the_o distance_n from_o your_o eye_n to_o the_o ground_n and_o the_o place_n on_o the_o object_n that_o be_v level_a with_o your_o eye_n also_o as_o the_o play_v of_o the_o thread_n and_o plummet_n will_v plain_o show_v also_o you_o must_v have_v the_o measure_n from_o the_o place_n where_o you_o stand_v observe_v to_o the_o point_n exact_o right_a under_o the_o object_n who_o height_n you_o will_v have_v in_o foot_n yard_n perch_n or_o what_o you_o please_v to_o integer_n and_o fraction_n in_o decimal_n if_o it_o may_v be_v also_o note_v that_o in_o all_o right-angle-triangle_n one_o acute_a angle_n be_v always_o the_o compliment_n of_o the_o other_o so_o that_o observe_v or_o find_v one_o by_o observation_n by_o consequence_n you_o have_v the_o other_o by_o take_v that_o from_o 90._o these_o thing_n be_v premise_v the_o operation_n follow_v by_o the_o artificial_a number_n sin_n and_o tangent_n and_o also_o by_o the_o natural_a note_v also_o by_o the_o way_n that_o in_o regard_n the_o compliment_n of_o the_o angle_n observe_v be_v frequent_o use_v if_o you_o count_v the_o degree_n the_o contrary_a way_n that_o be_v to_o say_v from_o the_o head_n you_o shall_v have_v the_o compliment_n require_v as_o have_v be_v oftentimes_o hint_v before_o then_o as_o the_o sine_fw-la of_o the_o angle_n opposite_a to_o the_o measure_a side_n be_v to_o the_o measure_a side_n count_v on_o the_o number_n so_o be_v the_o sine_fw-la of_o the_o angle_n find_v to_o the_o altitude_n or_o height_n require_v on_o number_n example_n at_o one_o station_n stand_v at_o c_o i_o look_v up_o to_o b_o the_o object_n who_o height_n be_v require_v and_o i_o find_v the_o thread_n to_o fall_v on_o 41_o degree_n and_o 45_o minute_n but_o if_o you_o count_v from_o the_o head_n it_o be_v 48-15_a the_o compliment_n thereof_o as_o in_o the_o figure_n you_o see_v also_o the_o measure_n from_o c_o to_o a_o be_v find_v to_o be_v

the_o one_o call_v the_o upper_z or_o visible_a hemisphere_n the_o other_o the_o low_a or_o invinsible_a hemisphere_n this_o rational_a horizon_n be_v distinguish_v also_o into_o right_n oblique_a and_o parallel-horizon_n 1._o the_o right_a horizon_n be_v when_o the_o two_o pole_n of_o the_o world_n lie_v in_o the_o horizon_n and_o the_o equinoctial_a at_o right_a angle_n to_o it_o which_o horizon_n be_v peculiar_a to_o those_o that_o live_v under_o the_o equinoctial_a who_o have_v their_o day_n and_o night_n always_o equal_a and_o all_o the_o star_n to_o rise_v and_o set_v and_o the_o sun_n to_o pass_v twice_o in_o a_o year_n by_o their_o zenith-point_n thereby_o make_v two_o winter_n and_o two_o summer_n their_o winter_n be_v in_o june_n and_o december_n and_o their_o summer_n in_o march_n and_o september_n 2._o the_o oblique_a horizon_n be_v when_o one_o pole-point_n be_v visible_a and_o the_o other_z not_o have_v elevation_n above_o and_o depression_n below_o the_o north_n or_o south_n part_n of_o the_o horizon_n according_a to_o the_o latitude_n of_o the_o place_n in_o which_o horizon_n when_o the_o sun_n come_v to_o the_o equinoctial_a the_o day_n and_o night_n be_v only_o then_o equal_a and_o the_o near_o the_o sun_n come_v to_o the_o visible_a pole_n the_o day_n be_v the_o long_o and_o the_o contrary_a also_o some_o star_n never_o set_v and_o some_o never_o rise_v in_o that_o horizon_n and_o all_o orison_n but_o two_o be_v in_o a_o strict_a sense_n oblique-horizon_n viz._n the_o right_a horizon_n already_o speak_v to_o and_o the_o parallel_n horizon_n be_v that_o horizon_n which_o have_v the_o equinoctial_a for_o its_o horizon_n and_o one_o of_o the_o pole-point_n for_o its_o zenith_n peculiar_a only_o to_o those_o inhabitant_n under_o the_o pole_n if_o any_o be_v there_o in_o which_o horizon_n ona_n half_a of_o the_o sphere_n do_v only_o always_o appear_v and_o the_o other_o half_o always_o be_v hide_v and_o the_o sun_n for_o one_o half_a year_n do_v go_v round_o about_o like_o a_o skrew_n make_v it_o continual_a day_n and_o the_o other_o half_a year_n be_v continual_a night_n and_o cold_a enough_o which_o circle_n in_o the_o analemma_n be_v represent_v by_o the_o line_n have_v but_o in_o the_o particular_a scheam_n by_o the_o circle_n nesw_n the_o meridian_n be_v a_o great_a circle_n which_o pass_v through_o the_o two_o pole-point_n the_o zenith_n and_o nadir_n and_o the_o north_n and_o south-point_n of_o the_o horizon_n and_o be_v call_v meridian_n becuse_v when_o the_o sun_n or_o star_n come_v to_o that_o circle_n it_o make_v midday_n or_o midnight_n which_o be_v twice_o in_o every_o 24_o hour_n also_o all_o place_n north_n and_o south_n have_v the_o same_o meridian_n but_o place_n that_o lie_v eastward_o or_o westward_n have_v several_a meridian_n also_o when_o the_o sun_n or_o star_n come_v to_o the_o south_n or_o north-part_n of_o the_o meridian_n their_o altitude_n be_v then_o high_a and_o low_a and_o the_o difference_n of_o meridian_n be_v the_o difference_n of_o longitude_n of_o place_n note_v by_o the_o circle_n zhns_n in_o the_o analemma_n and_o nz_n ♋_o saint_n in_o horizontal-projection_n the_o equinoctial_a be_v a_o great_a circle_n every_o where_o 90_o degree_n distant_a from_o the_o two_o pole_n of_o the_o world_n divide_v the_o sphere_n into_o two_o half_n call_v the_o north_n and_o south_n hemisphere_n and_o be_v call_v also_o the_o aequator_fw-la because_o when_o the_o sun_n pass_v by_o it_o twice_o a_o year_n it_o make_v the_o day_n and_o night_n equal_a in_o all_o place_n note_v by_o waee_n and_o aeeae_n in_o both_o the_o zodiac_n or_o signifer_fw-la zodiac_n be_v another_o great_a circle_n that_o divide_v the_o sphere_n and_o equinoctial_a into_o two_o equal_a part_n 4._o who_o pole_n be_v the_o pole_n of_o the_o zodiac_n be_v 90_o degree_n from_o it_o and_o it_o inter-sect_n the_o equinoctial_a in_o the_o two_o point_n of_o aries_n and_o libra_n and_o one_o part_n of_o it_o do_v decline_v northward_o and_o the_o other_o southward_o 23_o degree_n 31_o minute_n as_o the_o pole_n of_o the_o zodiac_n decline_v from_o the_o north_n and_o south-pole_n of_o the_o world_n the_o breadth_n of_o this_o zodiac_n or_o girdle_n be_v count_v 14_o or_o 16_o degree_n to_o allow_v for_o the_o wander_a of_o luna_n mars_n and_o venus_n the_o middle_n of_o which_o breadth_n be_v the_o ecliptick-line_n because_o all_o eclipse_n be_v in_o or_o very_o near_o in_o this_o line_n and_o this_o circle_n be_v divide_v into_o 12_o sign_n and_o each_o sign_n into_o 30_o degree_n according_a to_o their_o name_n and_o character_n ♈_o aries_n ♉_o taurus_n ♊_o gemini_fw-la ♋_o cancer_n ♌_o leo_n ♍_o virgo_fw-la ♎_o libra_n ♏_o scorpio_n ♐_o sagittarius_fw-la ♑_o capricornius_fw-la ♒_o aquarius_n ♓_o pisces_fw-la 6_o be_v northern_a and_o the_o 6_o latter_a southren_n the_o two_o colour_n be_v only_o two_o meridian_n or_o great_a circle_n colour_n cross_v one_o another_o at_o right_a angle_n 6._o the_o one_o colour_n pass_v through_o the_o pole_n of_o the_o world_n and_o the_o point_n of_o aries_n and_o libra_n there_o cut_v the_o equinoctial_a and_o ecliptic_a and_o the_o other_o colour_n pass_v by_o the_o pole_n of_o the_o world_n also_o and_o cut_v the_o ecliptic_a in_fw-la ♋_o and_o ♑_o make_v the_o four_o season_n of_o the_o year_n that_o be_v the_o equal_a day_n call_v the_o equinoctial-colure_a and_o the_o unequal_a day_n in_o june_n and_o december_n call_v the_o solsticial-colures_a represent_v in_o the_o analemma_n by_o zp_n ♋_o ns_n and_o pep_v and_o in_o the_o particular_a scheam_n by_o wpe_n and_o np_n the_o solsticial-colure_a tropic_n the_o lesser_a circle_n be_v the_o tropic_n of_o ♋_o and_o ♑_o 8._o be_v the_o line_n of_o the_o sun_n motion_n in_o the_o long_a and_o short_a day_n note_v in_o the_o scheme_n by_o ♋_o ☉_o ♋_o and_o 6_o ♋_o e_o and_o ♑_o ♑_o and_o w_n ♑_o 6_o to_o which_o two_o circle_n when_o the_o sun_n come_v it_o be_v on_o the_o 11_o of_o june_n and_o the_o 11_o of_o december_n make_v the_o summer_n and_o winter_n solstice_n polar-circle_n the_o polar_a circle_n be_v two_o circle_n draw_v about_o the_o pole_n of_o the_o world_n as_o far_o off_o as_o the_o pole_n of_o the_o zodiac_n be_v 10._o viz._n 23_o degree_n 31_o minute_n that_o about_o the_o north-pole_n be_v call_v the_o arctic_a and_o that_o about_o the_o south_n the_o antarctic_a be_v opposite_a thereunto_o show_v in_o the_o analemma_n by_o two_o and_o kk_v and_o by_o the_o small_a circle_n about_o p_o in_o the_o particular_a scheam_n of_o the_o other_o circle_n imagine_v but_o not_o describe_v on_o sphere_n or_o globe_n 1._o hour_n be_v great_a circle_n hour_n pass_v through_o the_o two_o pole_n and_o cut_v the_o equinoctial_a in_o 24_o equal_a part_n as_o the_o line_n p1_n p2_n p3_n etc._n etc._n in_o the_o particular_a and_o p_o ☉_o h_n in_o the_o analemma_n such_o also_o be_v degree_n of_o longitude_n and_o meridian_n the_o meridian_n be_v the_o hour_n of_o 12._o 2._o azimuth_n be_v great_a circle_n azimuth_n pass_v through_o or_o meet_v in_o the_o zenith_n and_o nadir-point_n number_v and_o count_v on_o the_o horizon_n from_o the_o four_o cardinal_n point_n of_o north_n and_o south_n east_n and_o west_n according_a to_o four_o 90ty_n or_o 180_o degree_n or_o according_a to_o the_o 32_o rombs_n or_o point_n of_o the_o compass_n as_o z_o ☉_o a_o and_o see_fw-mi the_o azimuth_n of_o east_n and_o west_n be_v call_v the_o prime_n virtical_a viz._n se_n wz_n 3._o almicanter_n or_o circle_n of_o altitude_n almicanter_n be_v lesser_a circle_n all_o parallel_n to_o the_o horizon_n count_v on_o any_o azimuth_n from_o the_o horizon_n to_o the_o zenith_n to_o measure_v the_o altitude_n of_o the_o sun_n moon_n or_o star_n above_o the_o horizon_n be_v the_o portion_n of_o some_o azimuth_n between_o the_o centre_n of_o the_o sun_n or_o star_n and_o the_o horizon_n common_o call_v its_o altitude_n above_o the_o horizon_n show_v by_o a_o ☉_o in_o the_o analemma_n and_o sae_z in_o the_o particular_a scheam_n declination_n 4._o parallel_n of_o declination_n be_v parallel_n to_o the_o equinoctial_a as_o the_o almicanter_n be_v parallel_v to_o the_o horizon_n as_o ♋_o ☉_o ♋_o the_o great_a declination_n or_o circle_n of_o ♋_o these_o parallel_n have_v the_o 2_o pole_n of_o the_o world_n for_o their_o centre_n and_o in_o respect_n of_o the_o sun_n or_o star_n be_v call_v degree_n of_o declination_n but_o in_o respect_n of_o the_o earth_n degree_n of_o latitude_n be_v the_o arch_n on_o the_o meridian_n of_o any_o place_n between_o the_o pole_n and_o horizon_n as_o 4_o ♋_o 4_o in_o the_o particular_a and_o hp_n in_o the_o analemma_n latitude_n 5._o parallel_n of_o latitude_n in_o respect_n of_o the_o star_n be_v line_n draw_v parallel_n to_o the_o ecliptic_a as_o the_o