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end_n draw_v let_v line_n 2,686 5 9.4422 5 true
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ID Title Author Corrected Date of Publication (TCP Date of Publication) STC Words Pages
A20104 The making, description, and vse of a small portable instrument for ye pocket (or according to any magnitude) in forme of a mixt trapezia thus called a horizontall quadrant composed and prodused soly for the benefit and vse of such which are studious of mathematicall practice Written and delivered by Delamain, student and teacher of the mathematickes. Delamain, Richard, fl. 1631. 1632 (1632) STC 6544; ESTC S109555 54,835 124

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horizon_n of_o the_o world_n but_o this_o may_v be_v more_o accurate_o do_v if_o you_o place_v the_o back_n of_o the_o instrument_n down_o upon_o a_o horizontall_a plain_a and_o the_o edge_n of_o the_o index_n be_v at_o the_o degree_n of_o the_o sun_n azimuth_n observe_v and_o the_o perpendicular_a erect_v at_o the_o end_n of_o the_o index_n as_o before_o then_o move_v the_o instrument_n as_o it_o so_o lie_v until_o the_o shadow_n of_o the_o perpendicular_a fall_n by_o the_o side_n of_o the_o index_n so_o the_o meridian_n of_o the_o instrument_n shall_v be_v in_o the_o meridian_n of_o the_o world_n and_o every_o point_n and_o degree_n in_o the_o limb_n of_o the_o instrument_n shall_v point_v out_o and_o be_v opposite_a and_o represent_v his_o like_a degree_n in_o the_o horizon_n of_o the_o world_n constru_n ¦_o ctio_fw-la 39_o but_o here_o note_v that_o this_o construction_n serve_v only_o but_o for_o the_o forenoon_n observation_n for_o if_o the_o practice_n be_v in_o the_o 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upon_o the_o plain_a of_o
the_o instrument_n be_v a_o part_n of_o the_o horizon_n the_o parallel_n meridian_n &_o vertical_a circle_n that_o be_v contain_v or_o may_v be_v describe_v in_o our_o latitude_n sufficient_o necessary_a induce_v any_o one_o in_o the_o understanding_n of_o the_o use_n of_o it_o that_o be_v but_o indifferent_o verse_v in_o the_o linament_n and_o principle_n of_o the_o globe_n what_o to_o speak_v and_o what_o to_o answer_v in_o a_o proposition_n without_o far_a direction_n and_o have_v have_v this_o horizontall_a quadrant_n for_o many_o year_n past_a as_o a_o pocket_n instrument_n diverse_a about_o this_o kingdom_n be_v importunate_a with_o i_o for_o to_o have_v it_o or_o to_o publish_v the_o use_n of_o it_o see_v its_o great_a facility_n and_o expedition_n in_o comparison_n of_o such_o pocket_n instrument_n as_o be_v now_o use_v here_o or_o in_o foreign_a part_n i_o be_v willing_a at_o last_o after_o i_o have_v give_v order_n for_o the_o make_n of_o four_o of_o these_o instrument_n in_o silver_n for_o several_a noble_a personage_n to_o disburden_v myself_o of_o transcribe_v the_o use_n of_o the_o instrument_n and_o table_n for_o the_o make_n of_o it_o to_o satisfy_v those_o which_o be_v importunate_a and_o to_o let_v other_o that_o be_v studious_a in_o mathematical_a practice_n also_o participate_v of_o it_o now_o what_o i_o have_v deliver_v upon_o the_o accommodate_v of_o the_o instrument_n thus_o the_o make_v thereof_o with_o the_o use_n that_o i_o have_v deliver_v in_o this_o tractat_fw-la upon_o it_o follow_v i_o acknowledge_v due_a to_o none_o inferior_a assistant_n but_o to_o my_o own_o industry_n search_n and_o labour_n and_o that_o 64._o 65._o and_o 66._o page_n of_o the_o book_n of_o the_o sector_n before_o specify_v in_o which_o be_v only_o show_v the_o 2._o 3._o 19_o 22._o 25._o and_o 30._o proposition_n of_o the_o index_n or_o table_n follow_v as_o use_n of_o the_o say_a projection_n but_o i_o have_v extend_v they_o to_o many_o more_o and_o abundant_o and_o plentiful_o supply_v the_o obscurity_n of_o that_o scheme_n or_o diagramme_n there_o draw_v as_o for_o a_o general_a good_a in_o the_o use_n of_o this_o horizantal_n quadrant_n i_o deliver_v therefore_o first_o the_o make_n of_o it_o first_o by_o the_o sector_n somewhat_o different_a from_o that_o of_o master_n gunter'_v second_o by_o geometry_n and_o last_o i_o show_v a_o three_o way_n how_o it_o may_v be_v project_v and_o make_v by_o my_o mathematical_a ring_n and_o by_o number_n which_o i_o have_v calculate_v and_o accommodate_v to_o that_o end_n in_o table_n for_o more_o exactness_n part_v of_o the_o general_a scope_n and_o use_v of_o which_o instrument_n i_o deliver_v in_o the_o index_n or_o table_n follow_v a_o index_n or_o table_n of_o the_o use_n of_o the_o horizontall_a quadrant_n viz_o of_o the_o horizon_n line_n of_o shadow_n calendar_n parallel_n aequator_fw-la ecliptic_a houreline_n index_n 1_o by_o the_o horizon_n to_o show_v 1._o the_o sun_n or_o star_n altitude_n at_o any_o time_n pag._n 53._o 2._o at_o any_o day_n of_o the_o year_n how_o far_o the_o sun_n rise_v or_o set_v from_o the_o true_a east_n or_o west_n pag._n 28._o 3._o the_o sun_n azimuth_n and_o altitude_n at_o any_o hour_n for_o any_o day_n pag._n 62._o 4._o the_o meridian_n line_n upon_o any_o appearance_n of_o the_o sun_n pag._n 55._o 5._o the_o uncertainty_n of_o time_n by_o note_v the_o shadow_n of_o thing_n pag._n 63._o 6._o the_o site_n of_o a_o building_n or_o cost_v of_o a_o place_n pag._n 57_o 7._o the_o variation_n of_o the_o needle_n pag._n 59_o 8._o the_o declination_n of_o a_o wall_n or_o plain_a the_o sun_n shine_v thereon_o pag._n 71._o 9_o the_o inclination_n of_o a_o plain_a and_o to_o place_v a_o plain_a horizontall_a pag._n 89._o 2._o by_o the_o line_n of_o shadow_n be_v have_v 10._o at_o what_o hour_n in_o any_o day_n of_o the_o year_n the_o shadow_n of_o a_o altitude_n be_v equal_a double_a triple_a etc._n etc._n unto_o it_o pag._n 35._o 11._o instant_o the_o hour_n of_o the_o day_n the_o azimuth_n and_o altitude_n of_o the_o sun_n with_o the_o meridian_n line_n without_o observation_n or_o sight_n of_o the_o sun_n by_o know_v the_o proportion_n between_o the_o length_n of_o a_o shadow_n upon_o a_o horizontall_a plain_a &_o that_o which_o cast_v the_o shadow_n pag._n 67._o 12._o at_o any_o hour_n a_o altitude_n of_o the_o sun_n or_o azimuth_n what_o proportion_n shadow_n have_v to_o their_o body_n pag._n 37._o 13._o whether_o and_o altitude_n be_v above_o or_o below_o the_o jewel_n of_o the_o eye_n &_o how_o much_o 14._o the_o height_n of_o a_o altitude_n accessible_a or_o in_o accessible_a pag._n 100_o 101._o 15._o the_o measure_n of_o any_o part_n of_o altitude_n not_o approchable_a pag._n 102._o 3._o by_o the_o calendar_n be_v know_v 16._o the_o inequality_n of_o time_n in_o equal_a month_n or_o equal_a number_n of_o day_n pag._n 44._o 17._o what_o number_n of_o day_n will_v make_v the_o day_n and_o hour_n long_o or_o short_a at_o any_o time_n pag._n 43._o 18._o the_o hour_n of_o the_o sun_n rise_v set_v with_o the_o length_n of_o the_o day_n at_o any_o time_n pag._n 23._o 19_o what_o day_n be_v alike_o in_o length_n &_o what_o day_n the_o sun_n rise_v in_o the_o one_o shall_v be_v the_o sun_n set_v in_o the_o other_o pag._n 24._o 20._o the_o inequality_n of_o time_n between_o day_n break_v and_o sun_n rise_v pag._n 41._o 4._o by_o the_o parallel_n to_o search_v out_o 21._o at_o any_o day_n the_o sun_n declination_n pag._n 24_o 22._o the_o latitude_n of_o a_o place_n or_o hight_v of_o the_o pole_n above_o the_o horizon_n pag._n 60._o 23._o at_o what_o hour_n in_o any_o day_n the_o sun_n azimuth_n and_o altitude_n will_v be_v equal_a and_o how_o much_o the_o altitude_n &_o azimuth_n will_v be_v pag._n 42._o 5._o by_o the_o aequator_fw-la be_v see_v 24._o the_o sun_n equal_a motion_n right_a ascention_n and_o oblique_a ascension_n pag._n 26._o 6._o by_o the_o ecliptic_a to_o give_v 25._o the_o sun_n place_n at_o any_o time_n of_o the_o year_n pag._n 25._o 26._o the_o degree_n of_o the_o aequator_fw-la in_o the_o horizon_n by_o suppose_v the_o degree_n of_o the_o ecliptic_a in_o the_o horizon_n pag_n 46._o 27._o the_o degree_n of_o the_o ecliptic_a in_o the_o horizon_n by_o suppose_v the_o degree_n of_o the_o aequator_fw-la in_o the_o horizon_n pag._n 47._o 28._o the_o degree_n of_o medium_fw-la coeli_fw-la or_o the_o degree_n of_o the_o ecliptic_a in_o the_o meridian_n by_o suppose_v the_o degree_n of_o the_o ecliptic_a in_o the_o horizon_n well_fw-mi contra_fw-la pag._n 47._o 29._o the_o horoscope_n or_o the_o degree_n ascendant_n '_o or_o descendant_n and_o the_o nonagessima_fw-la degree_n at_o any_o hour_n pag._n 49._o 30._o what_o angle_n the_o ecliptic_a make_v with_o the_o horizon_n or_o the_o altitude_n of_o the_o nonagessima_fw-la degree_n and_o what_o azimuth_n it_o be_v in_o at_o any_o hour_n pag._n 50._o 7._o by_o the_o hour_n line_n to_o find_v 31._o the_o hour_n of_o the_o day_n and_o azimuth_n of_o the_o sun_n pag._n 54._o 32._o the_o hour_n of_o the_o day_n agreeable_a to_o any_o altitude_n or_o azimuth_n pag._n 39_o 33._o the_o sun_n difference_n of_o ascension_n for_o any_o day_n pag._n 23._o 34._o the_o quarter_n of_o the_o year_n and_o day_n of_o the_o month_n hour_n of_o the_o day_n meridian-line_n and_o azimuth_n of_o the_o sun_n if_o it_o be_v forget_v pag._n 64._o 8._o by_o the_o index_n adjoin_v with_o other_o line_n you_o have_v 35._o at_o what_o hour_n &_o altitude_n the_o sun_n will_v be_v due_a east_n at_o any_o day_n of_o the_o year_n pag._n 27._o 36._o the_o sun_n azimuth_n &_o hour_n without_o observation_n pag._n 58._o 37._o the_o time_n of_o daybreak_a or_o end_n of_o twilight_n for_o any_o day_n in_o the_o year_n pag._n 30._o 38._o the_o height_n or_o depression_n of_o the_o sun_n in_o the_o meridian_n for_o any_o day_n in_o the_o year_n here_o or_o for_o any_o latitude_n pag._n 29._o 39_o the_o sun_n depression_n &_o azimuth_n at_o any_o hour_n of_o the_o night_n assign_v pag._n 40._o 40._o the_o hour_n of_o the_o day_n to_o our_o antipode_n by_o suppose_v the_o sun_n depression_n under_o the_o horizon_n pag._n 42._o 41._o what_o hour_n &_o altitude_n the_o sun_n come_v upon_o a_o decline_a wall_n any_o day_n in_o the_o year_n &_o how_o long_o the_o sun_n shine_v thereon_o pag._n 32._o 42._o at_o what_o hour_n and_o altitude_n the_o sun_n must_v have_v to_o be_v opposite_a or_o perpendicular_a to_o a_o declination_n plain_a pag._n 33._o 43_o the_o declination_n of_o a_o wall_n by_o see_v the_o sun_n beginning_n to_o shine_v thereon_o or_o go_v from_o it_o pag._n 69._o 44._o the_o hour_n &_o altitude_n of_o a_o star_n come_v to_o the_o meridian_n at_o
the_o column_n m._n 5294._o which_o i_o take_v from_o the_o scale_n b._n and_o protract_v it_o from_o t._n to_o 30._o in_o the_o line_n 2._o 10._o now_o place_v one_o foot_n of_o the_o compass_n in_o 30._o next_o 10._o and_o extend_v the_o other_o foot_n to_o p._n the_o ecliptic_a may_v be_v intersect_v in_o the_o point_n of_o ♉_o and_o ♓_o and_o place_v in_o 30._o towards_o 2._o the_o same_o extent_n will_v intersect_v the_o ecliptic_a in_fw-la ♍_o and_o ♏_o in_o like_a manner_n may_v the_o centre_n of_o the_o rest_n of_o the_o degree_n of_o the_o ecliptic_a be_v protract_v in_o the_o line_n 2._o 10._o from_o t._n out_o of_o the_o colume_n m._n and_o p._n and_o so_o all_o the_o ecliptic_a divide_v from_o degree_n to_o degree_n but_o this_o may_v be_v otherwise_o do_v beside_o that_o which_o be_v deliver_v touch_v the_o draw_n of_o the_o parallel_n ecliptic_a and_o hour_n line_n there_o remain_v yet_o how_o to_o put_v on_o the_o calendar_n to_o graduate_v the_o index_n and_o to_o draw_v and_o divide_v the_o line_n of_o shadow_n this_o may_v be_v easy_o do_v from_o the_o table_n r._n calculate_v and_o accommodate_v to_o that_o purpose_n for_o the_o year_n 1640_o and_o may_v sufficient_o serve_v for_o many_o year_n after_o without_o any_o sensible_a error_n have_v divide_v the_o quadrant_n constru_n ∣_o ction_n e.s._n and_o e.n._n as_o before_o into_o the_o usual_a degree_n of_o a_o quadrant_n lay_v a_o ruler_n upon_o the_o centre_n z._n and_o account_v the_o degree_n from_o the_o point_n e._n in_o the_o quadrant_n towards_o n._n and_o s._n out_o of_o the_o table_n r._n according_a to_o the_o several_a colume_n of_o the_o table_n r._n and_o intersect_v the_o quadrant_n calendar_n how_o to_o inscribe_v the_o calendar_n with_o small_a short_a line_n so_o shall_v the_o ark_n of_o the_o horizon_n of_o the_o instrument_n from_o e._n be_v divide_v into_o the_o usual_a day_n of_o the_o month_n which_o be_v the_o calendar_n and_o the_o beginning_n of_o these_o division_n 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these_o part_n for_o radius_fw-la and_o on_o z._n describe_v the_o obscure_a ark_n a._n e._n b._n and_o upon_o z._n erect_v a_o perpendicular_a to_o the_o line_n m._n n._n to_o cut_v the_o ark_n a._n b._n in_o e._n now_o from_o e._n to_o a._n protract_v 40._o gr_n and_o from_o e._n to_o b._n protract_v 50._o gr_n so_o the_o angle_n e._n z._n m._n shall_v be_v 90._o and_o also_o a.z.b._n shall_v be_v 90._o now_o have_v make_v a_o scale_n of_o z.e._n like_v to_o the_o scale_n a._n according_a to_o the_o former_a direction_n then_o out_o of_o the_o column_n c._n and_o by_o help_n of_o the_o say_a scale_n a._n from_o z._n you_o may_v protract_v z._n ♋_o 2493._o z.q._n 4823._o and_o z._n ♑_o 7673._o and_o from_o the_o column_n f._n y_fw-fr u._fw-mi may_v protract_v the_o distance_n of_o the_o centre_n of_o those_o intersection_n from_o z._n viz._n z._n 1.5269_o z._n 2.7949_o and_o z._n 3.16217_o and_o so_o place_v the_o compass_n in_o these_o centre_n you_o may_v describe_v the_o 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1000_o so_o the_o breadth_n to_o the_o scale_n or_o as_o 1000_o to_o 516._o so_o the_o scale_n to_o the_o breadth_n therefore_o by_o the_o ring_n bring_v 516._o in_o the_o movable_a to_o 1000_o in_o the_o fix_a so_o right_a against_o any_o radius_fw-la in_o the_o fix_a be_v the_o distance_n between_o the_o tropicke_n in_o the_o movable_a or_o against_o the_o distance_n assign_v for_o the_o tropicke_n in_o the_o movable_a be_v the_o measure_n of_o the_o radius_fw-la or_o scale_n in_o the_o fix_a so_o if_o ♑_o ♋_o be_v allot_v to_o be_v 10._o inch_n for_o the_o distance_n between_o the_o tropicke_n the_o scale_n or_o radius_fw-la of_o the_o instrument_n shall_v be_v 19_o 4_o 10._o fere_n but_o if_o the_o scale_n or_o radius_fw-la be_v 4._o foot_n or_o 48._o inch_n than_o the_o distance_n between_o the_o tropicke_n of_o ♑_o and_o ♋_o will_v be_v near_o 24_o 77_o 100_o inches_n thus_o for_o the_o make_n of_o the_o instrument_n the_o description_n of_o which_o follow_v the_o description_n of_o the_o horizontall_a quadrant_n the_o form_n of_o this_o instrument_n be_v like_o a_o mix_a trapezia_n as_o appear_v against_o page_n 1._o where_o of_o two_o side_n be_v right_a and_o the_o other_o two_o side_n be_v circular_a which_o fall_v out_o to_o be_v so_o from_o the_o nature_n of_o the_o projection_n and_o that_o part_n which_o i_o have_v think_v most_o convenient_a for_o use_v and_o be_v full_o sufficient_a for_o that_o which_o i_o have_v deliver_v upon_o it_o and_o may_v be_v make_v of_o any_o plain_a material_a but_o fit_a in_o brass_n or_o silver_n the_o several_a part_n of_o which_o instrument_n be_v five_o viz._n the_o back_n the_o face_n the_o
the_o south_n pole_n under_o the_o horizon_n which_o be_v always_o equal_a to_o the_o elevation_n of_o the_o north_n pole_n above_o the_o horizon_n so_o if_o upon_o the_o ten_o of_o april_n exam._n the_o meridian_n altitude_n shall_v be_v find_v to_o be_v 50._o gr_n the_o declination_n belong_v to_o that_o day_n by_o the_o 3._o pro._n be_v 11._o gr_n and_o a_o half_a north_n which_o be_v subtract_v according_a to_o the_o former_a direction_n leave_v 38._o gr_n 30._o m_o the_o height_n of_o the_o aequinoctial_a above_o the_o horizon_n &_o that_o take_v from_o 90._o leaf_n 51._o gr_n 30._o m_o the_o depression_n of_o the_o south_n pole_n under_o the_o horizon_n or_o the_o elevation_n of_o the_o north_n pole_n above_o the_o horizon_n for_o the_o height_n of_o the_o aequinoctial_a know_v the_o compliment_n thereof_o be_v always_o the_o latitude_n of_o the_o place_n or_o height_n of_o the_o pole_n and_o here_o note_v general_o that_o the_o height_n of_o the_o pole_n and_o aequinoctial_a together_o do_v always_o make_v a_o quadrant_n or_o 90._o gr_n therefore_o the_o height_n of_o one_o of_o they_o be_v know_v the_o height_n of_o the_o other_o be_v also_o know_v and_o further_a here_o note_v that_o if_o the_o sun_n have_v north_n declination_n the_o sun_n be_v so_o much_o high_a than_o the_o aequinoctial_a at_o none_o that_o day_n by_o so_o much_o as_o his_o declination_n come_v to_o but_o if_o the_o sun_n have_v south_n declination_n than_o the_o sun_n be_v low_a than_o the_o aequinoctial_a that_o day_n at_o noon_n by_o so_o much_o as_o his_o declination_n come_v to_o by_o which_o you_o may_v easy_o gether_o when_o to_o add_v or_o subtract_v the_o sun_n declination_n to_o or_o from_o the_o sun_n meridianall_a altitude_n to_o get_v the_o height_n of_o aequator_fw-la which_o know_v the_o pole_n height_n can_v be_v unknown_a pro._n 34_o eight_o to_o find_v the_o sun_n azimuth_n and_o altitude_n for_o any_o hour_n constru_n ¦_o ctio_fw-la 44_o mark_n where_o the_o parallel_n for_o the_o day_n of_o the_o month_n meet_v with_o the_o give_v hour_n and_o bring_v the_o edge_n of_o the_o index_n thereto_o so_o the_o degree_n that_o the_o edge_n of_o the_o index_n cut_v in_o the_o limb_n of_o the_o instrument_n that_o shall_v be_v the_o sun_n azimuth_n and_o the_o degree_n that_o the_o hour_n cut_v in_o the_o index_n that_o shall_v be_v the_o sun_n altitude_n require_v so_o if_o upon_o the_o ten_o of_o december_n at_o nine_o of_o the_o clock_n in_o the_o morning_n exam._n the_o sun_n azimuth_n and_o altitude_n be_v require_v mark_v first_o where_o the_o tropic_a of_o capricorn_n which_o be_v the_o parallel_n for_o that_o day_n give_v meet_v with_o the_o give_v hour_n of_o nine_o and_o bring_v the_o index_n thereto_o so_o the_o edge_n of_o it_o in_o the_o limb_n point_v out_o near_o 40._o gr_n and_o a_o half_a &_o so_o much_o be_v the_o sun_n azimuth_n from_o the_o south_n at_o nine_o of_o the_o clock_n in_o the_o forenoon_n the_o say_v ten_o of_o december_n and_o the_o hour_n line_n meet_v with_o the_o index_n show_v near_o 5._o gr_n 25._o m._n so_o much_o be_v the_o sun_n altitude_n at_o that_o time_n now_o if_o you_o move_v the_o index_n soft_o along_o as_o the_o edge_n of_o it_o pass_v by_o any_o hour_n for_o any_o day_n of_o the_o year_n so_o the_o edge_n of_o the_o index_n in_o the_o limb_n of_o the_o instrument_n show_v the_o sun_n azimuth_n and_o the_o intersection_n of_o the_o parallel_n with_o the_o index_n shall_v show_v the_o sun_n altitude_n belong_v to_o that_o hour_n nine_o to_o show_v the_o uncertainty_n pro._n 35_o of_o time_n by_o note_v the_o shadow_n of_o thing_n it_o be_v usual_o note_v by_o some_o that_o when_o the_o shadow_n of_o the_o edge_n of_o a_o window_n door_n wall_n or_o such_o like_a shall_v touch_v such_o or_o such_o mark_n that_o it_o shall_v be_v then_o such_o or_o such_o a_o hour_n of_o the_o day_n and_o so_o constant_o to_o hold_v for_o all_o the_o year_n this_o observation_n be_v far_o from_o truth_n and_o the_o principal_n of_o astronomy_n and_o may_v be_v easy_o contradict_v by_o such_o which_o have_v but_o indifferent_a judgement_n in_o the_o nature_n of_o shadow_n and_o the_o sun_n passage_n by_o the_o meridian_n and_o vertical_a circle_n of_o the_o heaven_n for_o by_o how_o much_o great_a the_o propinquity_n of_o the_o sun_n approachment_n be_v unto_o the_o zenith_n or_o vertical_a point_n by_o so_o much_o the_o more_o shall_v the_o hour_n or_o time_n be_v various_a in_o one_o and_o the_o same_o azimuth_n so_o in_o the_o last_o pro._n the_o azimuth_n of_o the_o sun_n the_o ten_o of_o december_n at_o nine_o of_o the_o clock_n in_o the_o forenoon_n be_v find_v to_o be_v 40._o gr_n and_o a_o half_a exam_n and_o the_o sun_n distance_n from_o the_o zenith_n at_o that_o time_n be_v near_o 84._o gr_n 35._o m_o now_o admit_v the_o sun_n distance_n from_o the_o zenith_n the_o ten_o of_o june_n be_v but_o 32._o gr_n 35._o m_o the_o sun_n be_v in_o the_o same_o azimuth_n the_o hour_n will_v be_v half_a a_o hour_n past_o 10._o for_o the_o index_n be_v lay_v to_o the_o hour_n of_o 9_o in_o the_o tropic_n of_o ♑_o which_o be_v the_o sun_n parallel_n for_o the_o say_v ten_o of_o december_n and_o it_o cut_v the_o constru_n ¦_o ctio_fw-la 45_o parallel_n of_o the_o sun_n motion_n in_o the_o inequality_n of_o time_n and_o so_o the_o compliment_n of_o the_o former_a 32._o gr_n 35._o m_o in_o the_o index_n meet_v with_o the_o tropic_n of_o ♋_o which_o be_v the_o sun_n parallel_n for_o the_o ten_o of_o june_n in_o half_a a_o hour_n past_o 10._o so_o that_o it_o evident_o appear_v that_o the_o shadow_n of_o a_o perpendicular_a thing_n on_o the_o ten_o of_o december_n denote_v the_o hour_n of_o the_o day_n to_o be_v 9_o of_o the_o clock_n the_o same_o shadow_n the_o ten_o of_o june_n shall_v represent_v half_o a_o hour_n past_o 10._o so_o the_o error_n shall_v be_v a_o hour_n and_o a_o half_a but_o if_o you_o move_v the_o index_n unto_o the_o hour_n of_o 9_o belong_v to_o the_o ten_o of_o june_n the_o index_n shall_v point_v you_o out_o in_o the_o limb_n near_o 68_o gr_n of_o azimuth_n for_o that_o hour_n which_o at_o 9_o of_o the_o clock_n the_o ten_o of_o december_n be_v but_o 40._o gr_n &_o a_o half_a so_o the_o difference_n of_o azimuth_n in_o one_o and_o the_o same_o hour_n shall_v be_v 27._o gr_n and_o a_o half_a &_o the_o time_n as_o before_o a_o hour_n and_o a_o half_a which_o difference_n be_v sufficient_a to_o confirm_v the_o point_n ten_o to_o find_v the_o quarter_n of_o pro._n 36_o the_o year_n and_o day_n of_o the_o month_n if_o it_o be_v forget_v constru_n ¦_o ctio_fw-la 46_o at_o any_o appearance_n of_o the_o sun_n by_o the_o 27._o pro._n take_v the_o sun_n altitude_n then_o place_v the_o north_n and_o south_n edge_n of_o the_o instrument_n unto_o the_o meridian_n line_n former_o draw_v if_o in_o the_o forenoon_n otherwise_o place_v the_o east_n and_o west_n edge_n of_o instrument_n to_o the_o meridian-line_n and_o erect_v the_o prependicular_a at_o the_o end_n of_o the_o index_n then_o move_v the_o index_n to_o and_o fro_o until_o the_o shadow_n of_o the_o prependicular_a fall_n by_o the_o side_n of_o the_o index_n so_o the_o parallel_n that_o meet_v with_o the_o degree_n of_o the_o sun_n observe_v altitude_n in_o the_o edge_n of_o the_o index_n parallel_n in_o the_o calendar_n that_o shall_v show_v the_o day_n of_o the_o month_n require_v so_o if_o exam._n upon_o a_o certain_a day_n in_o the_o year_n the_o sun_n altitude_n be_v observe_v and_o find_v to_o be_v 36._o gr_n have_v place_v the_o edge_n of_o the_o instrument_n to_o the_o meridian_n line_n and_o rectify_v the_o index_n then_o move_v the_o index_n until_o the_o shadow_n of_o the_o prependicular_a fall_n by_o the_o edge_n of_o the_o instrument_n let_v the_o instrument_n rest_n at_o this_o position_n and_o account_v the_o former_a 36._o gr_n upon_o the_o index_n which_o degree_n meet_v with_o the_o hour_n in_o the_o aequator_fw-la and_o also_o that_o intersect_v the_o calendar_n in_o the_o ten_o of_o march_n &_o the_o thirteen_o of_o september_n but_o which_o of_o these_o day_n be_v the_o day_n of_o the_o month_n the_o next_o day_n observation_n of_o the_o sun_n upon_o the_o same_o hour_n will_v help_v you_o for_o if_o the_o sun_n altitude_n besound_v to_o be_v great_a than_o the_o day_n of_o the_o month_n inquire_v after_o it_o be_v the_o ten_o of_o march_z because_o the_o sun_n from_o the_o ten_o of_o december_n unto_o the_o eleven_o of_o june_n do_v every_o day_n at_o one_o &_o the_o same_o hour_n ascend_v but_o if_o the_o sun_n altitude_n be_v find_v to_o be_v