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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 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 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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 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the_o angle_n qui_fw-fr ab_fw-la which_o suppose_v 32._o gr_n 10_o m_z than_o measure_n q_n a_o with_o a_o decimall_n chain_n or_o such_o like_a which_o suppose_v to_o be_v 5._o chain_n note_v this_o in_o a_o piece_n of_o paper_n then_o take_v the_o instrument_n up_o and_o measure_v the_o line_n a_o b_o but_o first_o only_o a_o e_o which_o suppose_v to_o be_v 11._o chain_n and_o 60_o link_n which_o be_v write_v down_o thus_o 11._o 60._o then_o measure_v the_o distance_n from_o e_o to_o the_o angle_n f_o which_o admit_v to_o be_v 2._o 20_o last_o go_v one_o with_o the_o measure_n a_o b_o which_o suppose_v to_o be_v 15._o 00_o the_o angle_n of_o observation_n and_o measure_n thus_o take_v may_v be_v note_v down_o one_o against_o another_o as_o in_o the_o table_n follow_v then_o place_v the_o instrument_n constru_n ¦_o ctio_fw-la 63_o upon_o his_o rest_n at_o b_o and_o observe_v the_o angle_n abc_n which_o note_v down_o also_o and_o measure_v the_o distance_n b_o g_o and_z g_o h_n and_o then_o go_v on_o with_o g_o b_o to_z g_z ay_o and_o mark_v and_o measure_n b_o i_o and_o then_o measure_v also_o i_o k_o and_o so_o go_v on_o with_o b_o c_o which_o measure_n be_v all_o place_v down_o as_o appear_v in_o the_o table_n of_o angle_n and_o measure_n follow_v in_o like_a matter_n perform_v the_o rest_n of_o the_o work_n until_o you_o come_v to_o q_o and_o so_o all_o the_o angle_n and_o measure_n will_v be_v according_a to_o the_o table_n here_o under_o specify_v the_o table_n of_o angles_n the_o table_n of_o measure_n g.m._n 5._o 00._o 32.10_o 11._o 60._o  _fw-fr 2.20_o  _fw-fr 15._o 00._o 80.10_o 6._o 00._o 1.00_o 9_o 20._o 2.00_o 16._o 40._o 79.30_o 6._o 90._o 1._o 29._o 8._o 00._o 74._o 45._o 3._o 70._o 1._o 15._o 5._o 40._o but_o it_o have_v be_v full_o sufficient_a by_o help_n of_o this_o protractor_n to_o have_v plot_v the_o aforesaid_a plain_n by_o know_v the_o former_a measure_n and_o two_o angle_n of_o observation_n only_o pro._n 47_o four_o how_o to_o find_v the_o inclination_n of_o a_o plain_a or_o to_o elevate_v a_o plain_a unto_o a_o angle_n assign_v and_o to_o place_v a_o plain_a horizontall_a constru_n ¦_o ctio_fw-la 65_o for_o the_o first_o set_v the_o east_n and_o west_n edge_n of_o the_o instrument_n unto_o the_o plain_a then_o if_o the_o edge_n of_o the_o index_n in_o the_o limb_n of_o the_o instrument_n cut_v the_o point_n of_o east_n or_o west_n the_o plain_n be_v vertical_a and_o do_v not_o incline_v but_o if_o the_o index_n fall_v from_o the_o point_n look_v how_o many_o degree_n it_o be_v from_o the_o point_n of_o east_n or_o west_n in_o the_o limb_n of_o the_o instrument_n so_o much_o be_v that_o inclination_n of_o the_o plain_a for_o the_o second_o to_o elevate_v a_o plain_a to_o a_o angle_n assign_v this_o be_v only_o the_o same_o with_o the_o former_a but_o may_v be_v apply_v to_o several_a use_n as_o to_o try_v the_o mount_n or_o to_o mount_v a_o piece_n of_o ordinance_n at_o any_o random_n or_o to_o place_v burn_v glass_n or_o other_o at_o several_a angle_n to_o receive_v each_o other_o reflexon_n and_o that_o the_o point_n of_o concourse_n or_o inflammation_n in_o such_o glass_n may_v be_v in_o the_o radius_fw-la or_o beam_n of_o the_o sun_n or_o that_o the_o point_n of_o inflammation_n the_o representative_a image_n or_o the_o extensive_a elumination_n may_v be_v project_v to_o a_o point_n assign_v for_o the_o three_o to_o rectify_v a_o plain_a horizontall_a constru_n ¦_o ctio_fw-la 66_o place_v the_o north_n and_o south_n edge_n of_o the_o instrument_n unto_o the_o under_o face_n of_o the_o plain_a and_o then_o mark_v if_o the_o edge_n of_o the_o index_n cut_v the_o point_n of_o east_n or_o west_n in_o the_o limb_n of_o the_o instrument_n for_o then_o the_o plain_n be_v horizontall_a but_o if_o it_o swarm_n from_o that_o point_n than_o it_o be_v not_o horizontal_a but_o the_o plain_n be_v to_o be_v raise_v or_o depress_v until_o by_o several_a trial_n in_o sundry_a part_n of_o the_o plain_a you_o 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