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or_o incline_v and_o decline_v if_o your_o plat_n shall_v both_o recline_v and_o decline_v or_o incline_v and_o decline_v first_o seek_v out_o the_o reclination_n as_o have_v be_v show_v and_o then_o the_o declination_n as_o in_o erect_a decline_v the_o make_n of_o a_o horizontall_a or_o plain_a lie_a sun_n dial._n cap._n 3._o your_o plat_n be_v prepare_v smooth_a and_o plain_a draw_v upon_o it_o two_o line_n as_o in_o the_o figure_n follow_v the_o one_o a._n b._n the_o other_o c._n d._n cut_v themselves_o squirewise_o that_o be_v make_v right_a angle_n in_o the_o point_n e._n upon_o which_o make_v the_o quadrant_a of_o any_o circle_n from_o the_o line_n e._n c._n to_o the_o line_n e._n a._n or_o e_z b_o and_z write_v at_o c._n the_o north_n at_o d._n the_o south_n at_o a._n the_o east_n at_o b._n the_o west_n and_o the_o line_n c._n a._n which_o here_o be_v the_o quadrant_a be_v divide_v into_o 90._o degree_n or_o part_n the_o elevation_n of_o the_o pole_n be_v account_v in_o it_o 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circle_n from_o h._n by_o c._n to_o i._n who_o diameter_n must_v be_v equal_o distant_a to_o the_o line_n l._n k._n then_o divide_v this_o half_a circle_n into_o 12._o equal_a part_n this_o do_v lay_v a_o ruler_n upon_o the_o centre_n g._n and_o upon_o every_o mark_n or_o division_n make_v in_o the_o half_a equator_fw-la and_o where_o the_o ruler_n shall_v touch_v you_o â_o line_n of_o contingence_n there_o make_v mark_n or_o prick_n by_o which_o prick_n draw_v line_n from_o e._n for_o the_o hour_n e._n c._n be_v the_o 12._o hour_n e._n b._n the_o 6._o in_o the_o morning_n e._n a._n the_o 6._o at_o evening_n the_o rest_n you_o may_v see_v in_o you_o â_o figure_n and_o whereas_o in_o summer_n the_o 4._o and_o 5._o in_o the_o morning_n and_o also_o the_o 7._o and_o 8._o at_o evening_n be_v necessary_a in_o this_o kind_n of_o dial_n prolong_v or_o draw_v the_o line_n of_o 4._o and_o 5._o at_o evening_n beyond_o the_o centre_n e._n which_o shall_v show_v the_o hour_n of_o 4._o and_o 5._o in_o the_o morning_n and_o likewise_o the_o 7._o and_o 8._o in_o the_o morning_n for_o the_o 7._o and_o 8._o at_o evening_n you_o may_v observe_v a_o order_n both_o in_o these_o and_o in_o all_o other_o erect_v direct_a dial_n by_o divide_v the_o one_o half_a of_o the_o equator_fw-la draw_v hour_n line_n for_o the_o forenone_o and_o observe_v the_o same_o distance_n from_o the_o meridian_n line_n on_o the_o other_o side_n for_o the_o afternoon_n for_o the_o line_n of_o the_o 11._o hour_n in_o the_o forenoon_n be_v of_o like_a distance_n from_o the_o meridian_n that_o the_o 1._o be_v in_o the_o afternoon_n and_o the_o 10._o as_o 2._o and_o so_o of_o the_o rest_n when_o you_o will_v draw_v or_o make_v the_o half_a hour_n you_o must_v divide_v every_o part_n of_o the_o equator_fw-la into_o 2._o equal_a part_n ãâã_d the_o ruler_n and_o the_o line_n of_o contingence_n as_o you_o find_v in_o the_o draw_n of_o the_o hour_n line_n and_o this_o remember_v for_o the_o draw_v of_o the_o half_a 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centre_n c._n hang_v precise_o over_o the_o line_n of_o the_o 12._o hour_n with_o so_o great_a a_o distance_n as_o the_o angle_n d._n c._n e_o be_v this_o kind_n of_o dial_n do_v receive_v and_o show_v only_o but_o 12._o hour_n at_o the_o most_o the_o make_n of_o a_o north_n erect_v direct_v dial_n cap._n 5._o here_o as_o in_o the_o south_n make_v a_o line_n parallel_n to_o you_o â_o horizon_n a._n b._n cut_v it_o squire_n wise_a with_o the_o perpendicular_a c._n d._n let_v c._n be_v the_o centre_n at_o c._n write_v zenith_n at_o d._n nadir_n âc_z from_o c._n draw_v the_o quadrant_n of_o a_o circle_n to_o d._n or_o b._n divide_v this_o into_o 90._o degree_n account_v the_o elevation_n of_o the_o pole_n which_o in_o our_o example_n be_v 52._o d_o from_o a._n towards_o c._n draw_v at_o the_o end_n of_o of_o this_o number_n the_o line_n e._n f_o for_o y_fw-mi â_o style_v afterward_o draw_v the_o line_n of_o contingence_n by_o c._n squirewise_a and_o take_v the_o short_a distance_n with_o your_o compass_n between_o the_o point_n c._n and_o the_o style_n place_v the_o one_o foot_n in_o the_o point_n c._n extend_v the_o other_o towards_o e._n in_o the_o line_n c._n d_o make_v a_o point_n or_o prick_v g_z whereupon_o as_o a_o centre_n the_o same_o wideness_n of_o the_o compass_n remain_v describe_v the_o half_a equator_fw-la by_o c._n end_v with_o the_o diameter_n h._n i._o equidistant_n to_o the_o line_n of_o contingence_n when_o you_o have_v divide_v thus_o half_a circle_n of_o the_o equator_fw-la into_o twelve_o equal_a part_n lay_v the_o ruler_n upon_o the_o centre_n g._n and_o
upon_o each_o division_n of_o the_o equator_fw-la and_o where_o it_o shall_v touch_v the_o contingent_a line_n make_v mark_n this_o do_v draw_v the_o line_n for_o the_o hour_n by_o those_o mark_n from_o the_o centre_n e._n but_o those_o very_o few_o that_o be_v two_o nigh_o unto_o a._n and_o two_o by_o b._n but_o prolong_v and_o extend_v they_o beyond_o the_o centre_n e._n so_o that_o their_o contrary_n may_v be_v make_v for_o in_o this_o kind_n of_o dial_n there_o be_v but_o only_o ten_o hour_n profitable_a that_o be_v 4_o 5_o 6_o 7_o 8_o before_o noon_n and_o 4_o 5_o 6_o 7_o 8_o after_o noon_n which_o show_v but_o only_o in_o summer_n from_o the_o enter_v of_o the_o sun_n into_o â_o until_o such_o tâne_n as_o it_o enter_v â_o the_o style_n must_v be_v fix_v in_o the_o centre_n e._n place_v upward_o direct_o over_o the_o lint_n e._n c._n with_o so_o great_a a_o angle_n as_o i._n e._n c._n be_v let_v the_o line_n c._n d._n be_v place_v upward_o perpendicular_o but_o so_o that_o it_o may_v not_o be_v almost_o see_v as_o afterward_o serve_v to_o no_o use_n because_o it_o be_v only_o a_o line_n preparative_n behold_v the_o figure_n a_o north_n dial_n erect_v direct_v the_o make_n of_o the_o east_n and_o west_n erect_a dial_n chap._n 6._o if_o you_o know_v the_o make_n of_o one_o of_o these_o you_o may_v easy_o make_v they_o both_o for_o they_o be_v very_o like_a differ_v only_o in_o the_o name_n of_o the_o hour_n for_o the_o one_o contain_v hour_n for_o the_o forenoon_n and_o the_o other_o for_o the_o afternoon_n you_o must_v therefore_o on_o your_o plat_n make_v the_o quadrant_a of_o a_o circle_n a._n b._n c._n which_o may_v afterward_o easy_o be_v put_v out_o as_o all_o the_o other_o line_n must_v be_v except_o the_o hour_n line_n let_v the_o side_n a._n b._n be_v perpendiculare_a b._n c._n parallel_n to_o the_o horizon_n and_o let_v the_o ark_n behold_v the_o south_n which_o be_v divide_v into_o 90._o degree_n number_n therein_o the_o elenation_n of_o the_o pole_n dounward_a from_o a._n towards_o c._n by_o the_o end_n of_o this_o number_n and_o by_o the_o centre_n b_o draw_v a_o line_n so_o long_o as_o your_o plat_n will_v give_v you_o leave_v who_o south_n end_n shall_v behold_v precise_o the_o equinoctial_a circle_n at_o which_o end_n draw_v a_o circle_n who_o diameter_n shall_v be_v almost_o the_o three_o part_n of_o the_o line_n then_o draw_v another_o diameter_n or_o line_n in_o the_o centre_n squire_n wise_a to_o the_o other_o which_o shall_v show_v the_o axtrée_n of_o the_o world_n and_o be_v the_o line_n for_o the_o 6._o hour_n after_o ward_n at_o the_o cutward_a side_n of_o the_o circle_n draw_v two_o contingent_a line_n one_o beneath_o the_o other_o above_o so_o that_o they_o may_v be_v parallel_n to_o the_o middle_a line_n divide_v each_o quarter_n of_o the_o circle_n into_o six_o equal_a part_n then_o place_v the_o ruler_n upon_o the_o centre_n and_o each_o of_o those_o mark_n or_o part_n and_o where_o it_o touch_v the_o line_n of_o contingence_n there_o make_v mark_n in_o they_o afterward_o draw_v a_o line_n by_o those_o two_o mark_n which_o be_v next_o to_o the_o 6._o hour_n in_o the_o line_n of_o contingence_n which_o may_v be_v equal_o distant_a from_o the_o line_n of_o the_o 6._o hour_n in_o like_a manner_n do_v with_o the_o rest_n so_o that_o you_o may_v have_v in_o the_o east_n dial_n two_o above_o the_o 6._o hour_n the_o 4._o and_o 5._o in_o the_o morning_n and_o under_o it_o 7_o 8_o 9_o 10_o 11._o in_o the_o west_n dial_n like_o wise_a 7._o and_o 8._o in_o the_o evening_n above_o the_o 6._o hour_n and_o under_o it_o 6_o 5_o 4_o 3_o 2_o 1._o neither_o of_o they_o do_v show_v the_o 12._o hour_n because_o at_o that_o time_n the_o sun_n beam_n be_v parallel_v to_o the_o plat_n fix_v the_o style_n in_o the_o centre_n of_o the_o circle_n right_o up_o from_o the_o plat_v so_o long_o as_o the_o semidiameter_n of_o the_o circle_n be_v only_o show_v the_o hour_n with_o the_o very_a top_n or_o end_v thereof_o yet_o it_o be_v more_o convenient_a to_o have_v it_o place_v along_o over_o the_o line_n of_o the_o 6._o hour_n be_v a_o plate_n of_o iron_n or_o some_o other_o metal_n be_v so_o broad_a as_o the_o semidiamer_n of_o the_o circle_n be_v behold_v the_o figure_n follow_v the_o east_n dial_n erect_a the_o west_n dial_n erect_v note_v that_o these_o five_o kind_n of_o dial_n before_o teach_v may_v be_v make_v upon_o a_o stone_n cut_v square_a in_o form_n of_o a_o die_n the_o make_n of_o a_o south_n erect_v decline_a dial_n which_o may_v be_v place_v on_o any_o upright_a wall_n whatsoever_o cap._n 7._o in_o all_o decline_a dial_n because_o the_o style_n do_v not_o hang_v direct_o over_o the_o meridianline_n therefore_o you_o must_v first_o find_v out_o and_o place_n the_o substile_a which_o be_v the_o line_n over_o which_o the_o style_n direct_o hang_v and_o like_o wise_a the_o line_n of_o the_o style_n which_o may_v be_v both_o eastly_a and_o speedy_o perform_v in_o this_o manner_n first_o by_o your_o instrument_n seek_v out_o the_o declination_n of_o the_o wall_n or_o plat_n whereupon_o you_o will_v make_v a_o dial_n which_o for_o example_n suppose_v i_o have_v find_v to_o be_v 50._o degree_n â_o therefore_o draw_v the_o horizontall_a line_n a._n b._n let_v the_o meridian_n c._n d._n cut_v it_o squire_n wise_a in_o the_o point_n e._n which_o may_v be_v in_o any_o place_n of_o the_o line_n a._n b._n and_o let_v the_o line_n f._n g._n cut_v the_o meridian_n squirewise_a in_o the_o point_n c._n which_o you_o may_v like_v wise_a take_v in_o what_o part_n of_o the_o meridian_n you_o think_v most_o convenient_a upon_o the_o centre_n e._n describe_v the_o quadrant_a of_o a_o circle_n from_o c._n to_o a._n if_o the_o declination_n of_o your_o plat_n be_v westward_o or_o from_o c._n towards_o b._n if_o eastward_o as_o in_o this_o example_n it_o be_v divide_v it_o into_o 90._o degree_n and_o number_n in_o it_o from_o c._n towards_o b._n the_o elevation_n of_o the_o equator_fw-la 38._o degree_n and_o lay_v your_o ruler_n degree_n upon_o the_o centre_n e._n and_o upon_o the_o end_n of_o this_o number_n draw_v the_o line_n e._n h._n again_o account_v in_o the_o quadrant_a from_o c._n towards_o b._n the_o declination_n of_o the_o plat_n be_v 50._o degree_n and_o draw_v the_o line_n of_o declination_n e._n i._o from_o e._n to_o the_o end_n of_o this_o number_n then_o take_v your_o compass_n set_v one_o foot_n in_o the_o point_n c._n extend_v the_o other_o unto_o h._n which_o be_v the_o intersection_n point_n of_o the_o line_n e._n h._n with_o the_o line_n c._n g._n and_o that_o same_o wideness_n remain_v place_n one_o foot_n in_o the_o centre_n e._n and_o with_o the_o other_o mark_v the_o point_n 1._o in_o the_o line_n e_o i._n and_o from_o the_o point_n i._o draw_v the_o line_n 1._o k._n squirewise_a to_o the_o meridian_n e._n c._n place_v k._n at_o the_o intersection_n it_o make_v with_o e._n c._n moreover_o take_v with_o your_o compass_n the_o just_a length_n of_o the_o line_n 1._o k._n and_o place_v one_o foot_n in_o c._n turn_v the_o other_o towards_o f._n and_o make_v the_o point_n l._n in_o the_o line_n c._n f._n draw_v the_o substile_a from_o e._n by_o l._n let_v the_o line_n of_o contingence_n be_v draw_v squirewise_a to_o the_o substile_a in_o the_o point_n l._n this_o do_v take_v the_o distance_n between_o the_o centre_n e._n and_o the_o point_n k._n and_o place_n it_o in_o this_o line_n of_o contingence_n from_o the_o point_n l._n unto_o m._n and_o make_v the_o point_n m._n that_o the_o line_n e._n m._n may_v be_v make_v from_o e._n unto_o m._n for_o the_o stile_n measure_v with_o your_o compass_n the_o least_o distance_n between_o the_o point_n l._n and_o the_o style_n and_o with_o the_o same_o wideness_n one_o foot_n remain_v in_o l._n turn_v the_o other_o towards_o e._n and_o make_v the_o centre_n o._n in_o the_o substile_a upon_o which_o describe_v the_o equinoctial_a circle_n then_o place_v your_o ruler_n upon_o o._n be_v the_o centre_n of_o the_o equinoctial_a circle_n and_o n._n which_o be_v the_o point_n of_o intersection_n of_o the_o meridian_n and_o contingent_a mark_v where_o it_o cut_v the_o circumference_n for_o there_o you_o must_v begin_v to_o divide_v it_o into_o 24._o equal_a part_n not_o withstand_v those_o 12._o be_v only_o in_o use_n which_o be_v next_o the_o contingent_a final_o place_v your_o ruler_n upon_o the_o centre_n o._n and_o upon_o the_o several_a division_n point_v of_o the_o equator_fw-la and_o where_o it_o touch_v the_o line_n of_o contingence_n make_v mark_n by_o which_o from_o the_o centre_n e._n draw_v the_o
from_o the_o meridian_n be_v find_v out_o altogether_o like_a to_o the_o south_n erect_v decline_v therefore_o you_o may_v resort_v thither_o for_o the_o work_n hereof_o i_o will_v only_o draw_v the_o figure_n let_v the_o line_n a._n b._n be_v parallel_n to_o the_o horizon_n cut_v c._n d._n squire_n wise_a place_v e._n at_o the_o intersection_n draw_v the_o quadrant_a from_o c._n to_o b._n divide_v it_o into_o 90._o d._n account_v therein_o from_o c._n towards_o b._n the_o distance_n of_o the_o substile_a from_o y_fw-fr e_fw-la line_n which_o be_v as_o it_o be_v the_o meridian_n which_o distance_n be_v 28._o d._n 55_o m._n at_o the_o end_n of_o this_o number_n draw_v the_o line_n e._n f._n for_o the_o substile_a then_o number_n from_o that_o line_n the_o distance_n of_o the_o substile_a and_o the_o style_n which_o be_v 25._o degree_n 48_o minute_n towards_o b._n draw_v likewise_o at_o the_o end_n of_o this_o number_n the_o line_n for_o the_o style_n e._n g._n this_o do_v let_v the_o line_n of_o contingence_n be_v draw_v squire_n wise_a by_o the_o point_n f._n and_o then_o take_v the_o least_o distance_n between_o the_o point_n f._n and_o the_o style_n extend_v the_o compass_n in_o the_o line_n f._n e._n the_o one_o foot_n be_v place_v in_o f._n where_o the_o other_o shall_v divide_v the_o line_n place_v the_o letter_n h._n with_o the_o same_o wideness_n of_o the_o compass_n draw_v upon_o the_o centre_n h._n the_o equator_fw-la and_o where_o the_o ruler_n shall_v touch_v the_o same_o be_v lay_v upon_o the_o centre_n h._n and_o the_o intersection_n of_o the_o contingent_a line_n and_o y_z t_z which_o be_v as_o it_o be_v the_o meridian_n begin_v to_o divide_v it_o into_o 24._o equal_a part_n finish_v all_o thing_n remain_v as_o in_o y_z e_o south_n erect_v decline_v only_o this_o except_v the_o style_n be_v fix_v in_o the_o centre_n e._n must_v be_v place_v upward_o behold_v the_o substile_a with_o so_o great_a a_o distance_n or_o angle_n as_o the_o letter_n f._n e._n g._n do_v show_n the_o line_n c._n d._n be_v apply_v to_o the_o plat_n perpendicular_o show_v as_o it_o be_v the_o 12._o hour_n at_o midnight_n therefore_o account_v from_o that_o the_o hour_n line_n as_o they_o follow_v in_o order_n 1_o 2_o 3._o which_o hour_n have_v no_o use_n in_o this_o kind_n of_o dial_n for_o our_o elevation_n but_o from_o 4._o etc._n etc._n let_v the_o line_n a._n b._n be_v parallel_n to_o the_o horizon_n be_v light_o draw_v as_o the_o other_o preparative_n line_n be_v serve_v afterward_o to_o no_o use_n note_v if_o the_o plat_n decline_v towards_o the_o east_n as_o this_o figure_n do_v it_o be_v for_o the_o forenoon_n and_o you_o must_v account_v the_o hour_n line_n from_o that_o which_o be_v as_o it_o be_v the_o meridian_n forward_o 4_o 5_o 6._o etc._n etc._n if_o it_o decline_v towards_o the_o west_n account_v they_o backward_o 11_o 10_o 9_o as_o we_o show_v before_o a_o north_n erect_v decline_a dial_n the_o make_n of_o a_o meridional_a or_o south_n recline_v direct_a dial_n cap._n 11._o if_o the_o reclination_n of_o the_o plat_n be_v less_o than_o the_o complement_n of_o the_o elevation_n of_o the_o pole_n add_v this_o complement_n and_o the_o reclination_n of_o the_o plat_n together_o and_o with_o this_o number_n as_o if_o it_o be_v the_o elevation_n of_o the_o pole_n make_v a_o south_n erect_v direct_a dial_n and_o it_o will_v be_v perfect_a and_o fit_a for_o your_o plat_n example_n and_o delineation_n of_o a_o south_n dial_n recline_v 25._o d_o make_v the_o first_o line_n a._n b._n draw_v also_o a_o other_o c._n d._n cut_v the_o other_o with_o right_a angle_n then_o add_v the_o complement_n of_o the_o elevation_n of_o the_o pole_n which_o be_v 25._o do_v to_o the_o reclination_n of_o the_o plat_n which_o be_v 38._o d._n and_o the_o total_a sum_n be_v 63._o d._n which_o number_n be_v in_o place_n of_o the_o elevation_n of_o the_o pole_n account_v it_o in_o the_o quadrant_n from_o a._n towards_o d._n and_o at_o the_o end_n hereof_o draw_v the_o line_n f._n for_o the_o style_n then_o make_v the_o line_n of_o contingence_n k_o l._n squire_n wise_a to_o the_o line_n c._n d._n afterward_o take_v the_o least_o distance_n with_o your_o compass_n between_o the_o point_n g._n and_o y_fw-fr â_o style_v with_o y_fw-es â_o wideness_n the_o one_o foot_n extend_v towards_o c._n make_v a_o point_n or_o prick_v e._n by_o which_o point_n draw_v the_o line_n h._n i._o equidistant_n from_o a._n b._n or_o k._n l._n upon_o e._n make_v a_o half_a circle_n from_o h._n by_o g._n to_o i._o which_o be_v divide_v into_o 12._o part_n finish_v the_o rest_n as_o the_o south_n erect_v direct_v a_o south_n direct_v recline_v 25._o d_o but_o if_o the_o reclination_n be_v equal_a to_o the_o complement_n of_o the_o pole_n make_v your_o dial_n on_o this_o manner_n like_v to_o the_o east_n and_o west_n draw_v a_o line_n parallel_n to_o the_o horizon_n a._n b._n so_o long_o as_o the_o plat_n will_v give_v you_o leave_v divide_v it_o into_o 7._o equal_a part_n and_o with_o the_o same_o wideness_n of_o the_o compass_n in_o the_o midst_n of_o the_o line_n make_v a_o circle_n represent_v the_o equator_fw-la then_o draw_v two_o line_n of_o contingence_n by_o the_o circumference_n of_o the_o circle_n equidistant_a from_o the_o first_o a._n b._n divide_v the_o equator_fw-la into_o 24._o equal_a part_n finish_v the_o rest_n like_o the_o east_n or_o west_n dial_n except_o in_o name_v the_o hour_n for_o that_o which_o be_v in_o they_o the_o 6._o hour_n line_n be_v here_o the_o 12._o etc._n etc._n a_o south_n direct_v recline_v 38._o d_o but_o if_o the_o reclination_n of_o the_o plat_n be_v great_a than_o the_o complement_n of_o the_o elevation_n of_o the_o pole_n subtract_v the_o complement_n of_o this_o elevation_n out_o of_o the_o reclination_n and_o that_o which_o remain_v shall_v serve_v in_o stead_n of_o the_o elevation_n of_o the_o pole_n with_o which_o elevation_n make_v your_o dial_n altogether_o like_o a_o horizontall_a which_o you_o shall_v find_v fit_a for_o your_o plat_n example_n of_o a_o south_n dial_n recline_v 55._o d_o first_o i_o take_v the_o complement_n of_o the_o elevation_n which_o be_v 38._o d._n out_o of_o the_o reclination_n of_o the_o plat_n which_o be_v 55._o d._n and_o there_o remain_v 17._o d._n which_o number_n keep_v for_o the_o elevation_n of_o the_o pole_n in_o delineation_n of_o this_o dial_n draw_v a_o line_n parallel_n to_o the_o horizon_n a._n b._n draw_v another_o c._n d._n make_v right_a angle_n with_o the_o line_n a._n b._n then_o make_v the_o quadrant_a from_o a._n to_o d._n which_o be_v divide_v into_o 90._o degree_n number_n in_o it_o that_o which_o be_v as_o it_o be_v the_o elevation_n of_o the_o pole_n namely_o 17._o degree_n from_o d._n towards_o a._n then_o draw_v the_o line_n of_o contingence_n k._n l._n in_o any_o point_n of_o the_o line_n c._n d._n squire_n wise_a take_v with_o your_o compass_n the_o least_o distance_n of_o the_o point_n g._n and_o of_o the_o style_n extend_v they_o forth_o in_o the_o line_n c._n d._n i_o mean_v from_o g._n towards_o c._n make_v there_o a_o point_n mark_v with_o e._n upon_o which_o point_n or_o centre_n with_o the_o same_o wideness_n of_o the_o compass_n draw_v the_o equator_fw-la from_o h._n by_o g._n to_o i._o divide_v it_o into_o 12._o equal_a part_n etc._n etc._n finish_v that_o which_o remain_v in_o all_o respect_n like_v to_o the_o horizontall_a dial_n in_o name_v the_o hour_n draw_v of_o the_o line_n fix_v of_o the_o style_n etc._n etc._n for_o in_o this_o kind_n of_o dial_n the_o style_n must_v be_v fix_v in_o the_o centre_n c._n stand_v upward_o with_o so_o great_a a_o angle_n as_o c._n d._n f._n be_v behold_v the_o figure_n follow_v a_o south_n recline_v erect_a the_o make_n of_o a_o north_n dial_n recline_v direct_a cap._n 12._o in_o these_o kind_n if_o the_o reclination_n be_v less_o than_o the_o elevation_n of_o the_o pole_n subtract_v that_o from_o this_o &_o keep_v the_o remainder_n for_o the_o elevation_n of_o the_o pole_n according_a to_o which_o elevation_n make_v a_o north_n dial_n erect_v direct_a and_o it_o will_v be_v fit_a for_o your_o plat_n in_o which_o the_o hour_n about_o noon_n be_v place_v be_v profitable_a only_o in_o summer_n and_o not_o then_o unless_o the_o reclination_n be_v great_a than_o the_o distance_n of_o y_fw-fr â_o tropâk_v of_o s_n from_o y_fw-es â_o zenith_n and_o the_o more_o your_o dial_n recline_v the_o long_a time_n it_o will_v show_v in_o summer_n example_n of_o a_o north_n dial_n recline_v 45._o degree_n first_o i_o take_v the_o elevation_n of_o the_o pole_n which_o we_o account_v 52._o d._n ãâã_d the_o reclination_n of_o the_o plat_n
the_o second_o mark_n in_o the_o tropic_a of_o cancer_n and_o the_o intersection_n of_o the_o line_n of_o the_o 5._o hour_n with_o the_o equator_fw-la or_o line_n of_o aries_n and_o libra_n draw_v like_o wise_a a_o line_n which_o shall_v show_v the_o first_o hour_n in_o the_o east_n and_o the_o 11._o hour_n in_o the_o west_n dial_n make_v on_o this_o wise_a all_o the_o other_o unequal_a hour_n namely_o the_o 10_o 9_o 8_o and_z 7_o in_o the_o west_n dial_n and_o the_o 2_o 3_o 4_o 5_o in_o the_o east_n dial_n the_o make_n of_o a_o horizontall_a spherical_a or_o hollow_a dial_n cap._n 26._o first_o prepare_v your_o sphere_n or_o plat_n perfect_o hollow_a of_o what_o quantity_n you_o wil._n then_o with_o your_o compass_n divide_v the_o upper_a brim_n thereof_o into_o 4_o equal_a part_n mark_v it_o with_o the_o letter_n a._n b._n c._n d._n afterward_o open_v your_o compass_n to_o the_o wideness_n of_o one_o quadrant_n either_o a._n c._n or_o a._n d._n and_o with_o that_o wideness_n one_o foot_n be_v place_v in_o the_o point_n d._n draw_v a_o obscure_a or_o light_a line_n from_o a._n to_o b._n this_o do_v set_v one_o foot_n of_o your_o compass_n in_o the_o point_n c_o and_o with_o the_o other_o you_o shall_v try_v whether_o the_o plat_n be_v perfect_o spherical_a or_o not_o for_o if_o it_o be_v your_o compass_n will_v fall_v in_o the_o same_o line_n which_o you_o make_v before_o but_o if_o it_o be_v not_o perfect_v you_o may_v amend_v it_o and_o then_o draw_v this_o line_n manifest_a so_o that_o it_o may_v continue_v for_o it_o shall_v be_v the_o meridian_n line_n show_v the_o 12_o hour_n again_o place_n one_o foot_n in_o the_o point_n a._n draw_v with_o the_o other_o a_o light_a line_n from_o c._n to_o d._n then_o one_o foot_n be_v set_v in_o b._n you_o may_v try_v with_o the_o other_o as_o before_o the_o truth_n of_o the_o line_n last_o make_v now_o where_o these_o two_o line_n cut_v each_o other_o in_o the_o bottom_n of_o the_o plat_n place_v the_o letter_n e._n 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conclude_v number_n from_o f._n towards_o e._n 11._o d._n 30._o m._n make_v there_o also_o a_o mark_n for_o the_o âine_z of_o â_o and_o â_o and_o so_o much_o from_o f._n towards_o a._n for_n â_o and_o â_o when_o you_o have_v thus_o make_v mark_n for_o all_o y_fw-mi â_o arke_n of_o the_o 12_o sign_n open_v your_o compass_n to_o the_o quadrant_n of_o the_o sphere_n that_o be_v from_o a._n to_o c._n which_o wideness_n of_o the_o compass_n remain_v place_n one_o foot_n in_o the_o point_n f._n in_o the_o ark_n of_o â_o and_o â_o in_o the_o meridian_n and_o where_o the_o other_o foot_n shall_v touch_v the_o same_o meridian_n towards_o b_o make_v the_o point_n g._n which_o shall_v represent_v the_o pole_n antarctic_a by_o which_o as_o it_o be_v from_o a_o centre_n draw_v a_o line_n from_o the_o point_n d._n by_o f._n to_o c._n which_o shall_v be_v the_o line_n of_o aries_n and_o libra_n then_o one_o foot_n of_o your_o compass_n remain_v in_o the_o point_n g._n with_o the_o other_o draw_v 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the_o compass_n join_v each_o three_o point_n of_o these_o three_o arke_n answerable_a into_o one_o line_n or_o ark_n until_o you_o have_v make_v 12._o line_n to_o show_v the_o 12._o unequal_a hour_n as_o in_o the_o figure_n follow_v you_o may_v see_v whereof_o the_o meridian_n or_o 12._o unequal_a hour_n shall_v always_o be_v the_o 6._o unequal_a hour_n in_o place_v the_o figure_n to_o the_o equal_a &_o unequal_a hour_n and_o the_o character_n to_o the_o 12._o sign_n of_o the_o zodiac_n the_o figure_n may_v sufficient_o show_v notwithstanding_o you_o may_v place_v they_o where_o you_o will_v give_v to_o each_o sign_n his_o proper_a character_n and_o every_o hour_n equal_a and_o unequal_a their_o proper_a figure_n or_o name_n fire_v the_o style_n in_o the_o centre_n g._n stand_v up_o so_o high_a as_o the_o brim_n of_o the_o plat_n so_o that_o the_o upper_a end_n may_v appear_v as_o the_o centre_n of_o the_o circumference_n which_o you_o may_v try_v by_o place_v a_o ruler_n upon_o the_o point_n a._n b._n and_o again_o upon_o c._n d._n in_o like_a manner_n you_o may_v examine_v it_o with_o your_o compass_n but_o the_o former_a as_o practice_v will_v teach_v you_o be_v the_o more_o convenient_a way_n you_o may_v if_o you_o will_v have_v the_o style_n stand_v above_o the_o plat_n so_o that_o it_o may_v show_v the_o equal_a hour_n above_o the_o edge_n of_o the_o sphere_n and_o then_o fasten_v a_o knot_n of_o equal_a height_n with_o the_o plat_n which_o shall_v show_v the_o motion_n of_o the_o sun_n in_o the_o 12._o sign_n and_o y_fw-es â_o unequal_a hour_n which_o otherwise_o the_o end_n of_o the_o style_n shall_v do_v as_o in_o the_o figure_n follow_v you_o may_v perceive_v the_o figure_n of_o a_o hollow_a horizontall_a dial_n the_o make_n of_o a_o south_n spherical_a erect_v direct_a dial_n cap._n 27._o you_o shall_v understand_v that_o the_o make_n of_o this_o kind_n differ_v almost_o nothing_o from_o the_o horizontall_a except_o only_o in_o the_o account_v the_o beginning_n of_o the_o elevation_n of_o the_o pole_n &_o draw_v the_o hour_n unequal_a first_o your_o sphere_n or_o plat_n be_v prepare_v and_o part_v into_o four_o quadrant_n as_o before_o in_o the_o horizontall_a you_o be_v teach_v divide_v the_o quadrant_a e._n a._n into_o 90_o degree_n then_o number_n in_o it_o the_o elevation_n of_o the_o pole_n from_o a._n towards_o e._n mark_v the_o end_n of_o the_o number_n with_o f._n afterward_o open_v your_o compass_n to_o the_o quadrant_a of_o the_o plat_n and_o the_o one_o foot_n place_v in_o f._n extend_v the_o other_o in_o the_o meridian_n line_n towards_o b._n make_v the_o
m_o distance_n of_o the_o substile_a and_o the_o meridian_n 6._o d._n 35._o m_o distance_n of_o the_o style_n and_o substile_n 4._o d._n 15._o m_o elevation_n of_o the_o pole_n 52._o d_z hitherto_o we_o have_v teach_v the_o delineation_n of_o all_o kind_n of_o dial_n which_o be_v to_o be_v make_v upon_o any_o plain_a plat_n or_o superficies_n now_o follow_v the_o garnish_n of_o they_o with_o the_o 12._o sign_n and_o the_o hour_n unequal_a how_o to_o draw_v the_o 12._o sign_n in_o all_o kind_n of_o dial_n before_o mention_v cap._n 22._o for_o somuch_o as_o sometime_o the_o 12_o sign_n of_o the_o zodiac_n be_v place_v in_o sun_n diall_n know_v in_o what_o sign_n y_fw-mi â_o sun_n be_v at_o any_o time_n which_o albeit_o any_o kind_n will_v receive_v yet_o most_o common_o the_o vertical_a direct_o opposite_a to_o you_o â_o south_n be_v garnish_v therewith_o therefore_o in_o draw_v the_o 12._o sign_n in_o these_o south_n and_o all_o other_o kind_n of_o diall_n before_o mention_v do_v thus_o prepare_v a_o little_a table_n of_o iron_n brass_n or_o close_o grain_v wood_n in_o breadth_n 3._o or_o 4._o in_o length_n 5._o or_o 6._o inch_n choose_v for_o the_o diameter_n one_o of_o the_o short_a side_n wherein_o draw_v upon_o the_o centre_n a._n half_a a_o circle_n to_o be_v divide_v into_o two_o quadrant_n distinguish_v with_o a_o line_n draw_v from_o the_o centre_n a._n to_o the_o ark_n b._n part_n each_o quadrant_a into_o 90._o degree_n the_o line_n a._n b._n be_v here_o in_o place_n of_o the_o equator_fw-la show_v in_o the_o ark_n the_o beginning_n of_o aries_n and_o libra_n moreover_o how_o to_o find_v the_o other_o sign_n on_o both_o side_n seek_v in_o the_o table_n of_o the_o declination_n of_o the_o sun_n from_o the_o equinoctial_a circle_n which_o be_v afterward_o express_v first_o find_v out_o the_o degree_n of_o the_o distance_n in_o this_o table_n of_o the_o begin_n of_o taurus_n from_o the_o equator_fw-la being_n 11._o degree_n 30._o minute_n account_v this_o distance_n in_o the_o quadrant_a from_o the_o letter_n b._n towards_o the_o left_a hand_n and_o at_o the_o end_n of_o this_o number_n draw_v a_o line_n from_o the_o centre_n a._n which_o shall_v show_v the_o beginning_n of_o taurus_n and_o virgo_fw-la account_v like_o wise_a the_o same_o distance_n on_o the_o other_o side_n from_o the_o line_n a._n b._n and_o make_v a_o line_n for_o the_o begin_n of_o pisces_fw-la and_o scorpius_n again_o in_o the_o 20._o d._n 12._o m._n from_o the_o line_n a._n b._n you_o shall_v have_v the_o beginning_n of_o gemeni_fw-la &_o leo_fw-la and_o so_o many_o degree_n and_o minute_n on_o the_o other_o side_n the_o beginning_n of_o aquarius_n and_o sagittarius_fw-la to_o conclude_v on_o both_o side_n in_o the_o 23_o degree_n 30_o minute_n there_o must_v be_v on_o the_o one_o part_n cancer_n and_o on_o the_o other_o capricorn_n afterward_o draw_v line_n from_o the_o centre_n a_o by_o every_o mark_n so_o long_o as_o your_o table_n will_v receive_v and_o at_o the_o end_n of_o these_o line_n let_v the_o character_n of_o the_o 12_o sign_n of_o the_o zodiac_n be_v fix_v as_o in_o the_o figure_n follow_v you_o may_v see_v the_o use_n of_o this_o trigonall_a instrument_n in_o write_v the_o 12_o sign_n in_o diall_n your_o dial_n be_v make_v and_o the_o style_v place_v therein_o take_v your_o trigonall_a instrument_n and_o set_v it_o upon_o the_o style_n so_o that_o the_o whole_a diameter_n thereof_o may_v stand_v plain_a upon_o the_o edge_n or_o upper_a part_n the_o centre_n a._n of_o your_o instrument_n always_o remain_v in_o one_o place_n of_o the_o style_n let_v the_o line_n of_o â_o bend_v upward_o to_o the_o centre_n of_o your_o dial_n and_o the_o line_n of_o â_o down_o ward_n then_o fasten_v a_o thread_n at_o the_o uppermost_a end_n of_o your_o trigonal_a in_o every_o line_n of_o the_o sign_n so_o that_o you_o may_v direct_v it_o downward_o by_o the_o centre_n a._n to_o the_o plat_n of_o your_o dial_n and_o where_o the_o end_n of_o the_o 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as_o do_v decline_v be_v unprofitable_a except_o it_o so_o chance_n that_o some_o hour_n line_n fall_v in_o it_o let_v the_o style_n be_v fix_v in_o c._n hang_v direct_o over_o the_o substile_a with_o so_o great_a a_o angle_n as_o e._n c._n f._n be_v decline_v on_o neither_o side_n note_v diligent_o the_o make_n of_o this_o decline_a dial_n because_o in_o those_o which_o follow_v we_o mean_v not_o to_o repeat_v those_o thing_n which_o here_o have_v be_v teach_v and_o this_o one_o kind_a well_o know_v all_o the_o other_o will_v seem_v most_o easy_a for_o better_o understand_v hereof_o behold_v the_o figure_n a_o south_n erect_v decline_a dial_n the_o make_n of_o a_o north_n erect_v decline_a dial_n another_o way_n cap._n 10._o the_o distance_n of_o the_o style_n from_o the_o substile_a and_o of_o the_o substile_a
which_o be_v 45._o d._n and_o there_o remain_v 7._o d._n which_o shall_v be_v in_o place_n of_o the_o elevation_n of_o the_o pole_n then_o for_o the_o draw_v of_o it_o resort_n to_o the_o north_n erect_v direct_a because_o their_o delineation_n be_v like_a remember_v always_o to_o call_v that_o which_o remain_v the_o elevation_n of_o the_o pole_n which_o in_o this_o example_n be_v but_o 7._o degree_n in_o the_o figure_n follow_v you_o see_v that_o most_o part_n of_o the_o hour_n line_n be_v draw_v opposite_a from_o the_o contingent_a beyond_o the_o centre_n e._n as_o you_o must_v do_v in_o any_o of_o this_o kind_n if_o you_o will_v have_v the_o hour_n about_o noon_n example_n of_o a_o north_n dial_n recline_v 52._o degree_n but_o if_o the_o reclination_n be_v equal_a with_o the_o elevation_n of_o the_o pole_n then_o describe_v a_o circle_n upon_o the_o centre_n e._n and_o divide_v it_o into_o 24._o equal_a part_n begin_v the_o division_n at_o the_o 12._o hour_n draw_v by_o those_o 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8_o equal_v the_o 2_o planetare_v hour_n etc._n etc._n but_o in_o the_o tropic_a of_n â_o it_o be_v otherwise_o for_o then_o the_o unequal_a hour_n be_v great_a than_o the_o equal_a therefore_o account_v how_o many_o hour_n and_o minute_n be_v in_o the_o long_a day_n for_o your_o elevation_n change_v all_o the_o minute_n of_o those_o hour_n into_o one_o total_a sum_n then_o divide_v this_o number_n by_o 12_o and_o the_o quotient_n shall_v show_v how_o many_o minute_n of_o a_o equal_a make_v one_o unequal_a hour_n example_n hereof_o with_o we_o the_o long_a day_n be_v 16_o hour_n 24_o minute_n wherefore_o i_o multiply_v 60_o which_o be_v the_o minute_n of_o a_o equal_a hour_n by_o 16_o which_o be_v the_o sum_n of_o hour_n of_o the_o long_a day_n and_o the_o product_n arise_v to_o 960_o whereunto_o i_o add_v 24_o the_o minute_n remain_v than_o the_o number_n shall_v be_v 984_o which_o be_v divide_v by_o 12_o the_o quotient_n be_v 82._o wherefore_o i_o conclude_v that_o 82_o minute_n of_o a_o equal_a make_v one_o unequal_a or_o planetare_a hour_n then_o to_o draw_v they_o in_o diall_n work_v thus_o first_o in_o the_o tropic_a of_n â_o divide_v the_o space_n between_o each_o hour_n into_o 60_o equal_a part_n but_o because_o those_o distance_n be_v so_o small_a for_o the_o most_o part_n that_o this_o can_v be_v do_v therefore_o it_o shall_v suffice_v to_o divide_v every_o one_o of_o they_o into_o three_o equal_a part_n then_o shall_v every_o part_n contain_v 20_o m._n and_o three_o of_o they_o 60_o m._n which_o be_v one_o equal_a hour_n when_o as_o therefore_o you_o will_v place_v the_o 7_o unequal_a hour_n account_n from_o the_o meridian_n line_n or_o 12_o hour_n 4_o part_n and_o 2_o minute_n which_o be_v 82_o minute_n and_o make_v there_o a_o mark_n then_o place_v your_o ruler_n by_o this_o point_n or_o mark_n and_o the_o intersection_n of_o the_o line_n of_o â_o and_o â_o and_o the_o first_o hour_n after_o noon_n draw_v a_o line_n from_o one_o tropic_a to_o another_o that_o be_v from_o â_o to_o â_o then_o for_o the_o place_n of_o the_o 8_o unequal_a hour_n account_n from_o the_o 7_o last_o make_v 4_o of_o the_o foresay_a part_n and_o two_o minute_n make_v there_o a_o mark_n by_o which_o and_o the_o intersection_n of_o the_o line_n of_o â_o and_o â_o and_z the_o line_n of_o the_o second_o hour_n after_o noon_n the_o ruler_n be_v place_v draw_v a_o line_n as_o before_o for_o the_o 9_o account_n from_o the_o 8_o last_o make_v likewise_z 4_o part_n and_o two_o minute_n draw_v a_o line_n as_o before_o do_v in_o like_a manner_n for_o the_o draw_v of_o all_o the_o other_o remain_v that_o be_v for_o the_o 10_o and_o 11._o the_o 12_o be_v the_o sun_n sit_v shall_v need_v no_o line_n as_o you_o have_v finish_v the_o unequal_a hour_n on_o this_o side_n for_o the_o afternoon_n do_v in_o like_a manner_n for_o those_o in_o the_o forenoon_n account_v from_o the_o meridian_n 4_o part_n and_o 2_o m._n of_o a_o equal_a hour_n to_o each_o unequal_a draw_v as_o 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in_o this_o you_o must_v divide_v the_o tropic_a of_n â_o which_o be_v likewise_o next_o to_o the_o centre_n of_o the_o dial_n take_v only_o 2_o part_n want_v 2_o minute_n that_o be_v 38_o m._n of_o a_o equal_a hour_n to_o each_o unequal_a therefore_o your_o dial_n be_v prepare_v and_o the_o 12_o sign_n of_o the_o zodiac_n place_v therein_o etc._n etc._n account_v how_o many_o hour_n and_o minute_n be_v in_o the_o short_a day_n in_o your_o country_n change_v all_o the_o hour_n into_o minute_n give_v to_o each_o hour_n 60_o minute_n divide_v the_o product_n by_o 12_o and_o the_o quotient_n shall_v show_v how_o many_o minute_n of_o a_o equal_a will_v be_v answerable_a to_o each_o unequal_a hour_n example_n the_o short_a day_n with_o we_o be_v 7_o hour_n 36_o minute_n which_o be_v multiply_v into_o one_o gross_a number_n of_o minute_n the_o product_n be_v 456_o which_o i_o divide_v by_o 12_o and_o the_o quotient_n be_v 38._o therefore_o i_o affirm_v that_o 38_o minute_n of_o a_o vulgar_a or_o equal_a make_v one_o planetare_v or_o unequal_a hour_n then_o divide_v the_o tropic_a of_n â_o here_o as_o in_o the_o horizontall_a you_o do_v the_o tropic_a of_n â_o afterward_o account_v from_o the_o meridian_n line_n 38_o m._n or_o 2_o part_n want_v 2_o m._n of_o a_o equal_a hour_n to_o each_o unequal_a etc._n etc._n finish_v all_o thing_n else_o in_o this_o meridional_a erect_v direct_v as_o you_o be_v teach_v in_o the_o horizontal_n the_o figure_n ensue_v a_o south_n dial_n the_o place_n of_o the_o hour_n unequal_a in_o east_n and_o west_n dial_n cap._n 25._o first_o draw_v your_o dial_n true_a then_o place_v the_o 12_o sign_n of_o the_o zodiac_n in_o it_o which_o you_o may_v do_v on_o this_o wise_a the_o style_n of_o your_o dial_n be_v fix_v therein_o as_o before_o have_v be_v teach_v take_v your_o trigonall_a before_o prescribe_v and_o place_v it_o upon_o the_o edge_n of_o the_o style_n then_o according_a to_o the_o direction_n of_o the_o thread_n as_o in_o you_o â_o 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point_n g._n where_o it_o shall_v touch_v the_o meridian_n line_n from_o which_o point_n as_o a_o centre_n you_o shall_v draw_v the_o line_n for_o the_o 12_o sign_n as_o you_o be_v teach_v in_o the_o horizontall_a divide_v likewise_o and_o draw_v the_o line_n for_o the_o equal_a hour_n as_o before_o in_o the_o horizontall_a the_o place_n of_o the_o hour_n unequal_a in_o this_o kind_n be_v do_v as_o in_o the_o south_n erect_v direct_a upon_o a_o plain_a superficies_n except_o only_o that_o whereas_o there_o you_o do_v draw_v they_o with_o a_o ruler_n here_o you_o shall_v do_v it_o with_o compass_n on_o this_o manner_n open_v your_o compass_n to_o the_o quadrant_n of_o the_o plat_n that_o be_v from_o a._n to_o c._n accounse_a from_o the_o meridian_n in_o the_o tropic_a of_o capricorn_n two_o part_n want_v two_o minute_n of_o a_o equal_a hour_n make_v there_o a_o mark_n and_o that_o wideness_n of_o your_o compass_n remain_v draw_v a_o line_n from_o that_o mark_n make_v in_o the_o 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shall_v yield_v a_o product_n which_o part_n by_o the_o whole_a sine_fw-la and_o the_o ark_n of_o the_o quotient_a sine_fw-la shall_v show_v the_o desire_a altitude_n of_o the_o sun_n for_o the_o hour_n propound_v but_o if_o the_o distance_n of_o the_o sun_n from_o the_o meridian_n shall_v exceed_v six_o hour_n that_o be_v 90_o degree_n take_v the_o degree_n of_o that_o distance_n from_o 180_o multiply_v the_o sine_fw-la of_o the_o remainder_n by_o the_o sine_fw-la of_o the_o compliment_n of_o the_o altitude_n of_o the_o pole_n divide_v the_o product_n by_o the_o whole_a sine_fw-la and_o subtract_v the_o ark_n of_o the_o quotient_a from_o 90_o the_o remainder_n shall_v be_v call_v the_o first_o number_n find_v out_o the_o sine_fw-la of_o which_o number_n find_v out_o compare_v with_o the_o sine_fw-la of_o the_o elevation_n of_o the_o pole_n increase_v the_o lesser_a by_o the_o whole_a sine_fw-la and_o distribute_v the_o product_n by_o the_o great_a then_o take_v the_o complement_n of_o the_o declination_n of_o the_o sun_n from_o the_o ark_n of_o the_o quotient_a and_o you_o shall_v have_v the_o second_o number_n find_v out_o final_o the_o sine_fw-la of_o the_o first_o number_n find_v out_o and_o the_o sine_fw-la of_o the_o second_o be_v multiply_v by_o themselves_o and_o the_o product_v part_v by_o the_o whole_a sine_fw-la the_o quotient_a sine_fw-la shall_v yield_v a_o ark_n which_o shall_v be_v the_o altitude_n of_o the_o sun_n but_o when_o the_o sun_n occupi_v the_o beginning_n of_o â_o or_o â_o you_o shall_v find_v the_o altitude_n thereof_o every_o hour_n only_o by_o multiply_v the_o sine_fw-la of_o the_o complement_n of_o the_o distance_n of_o the_o sun_n from_o the_o meridian_n by_o the_o sine_fw-la of_o the_o complement_n of_o the_o elevation_n of_o the_o pole_n divide_v the_o product_n by_o the_o whole_a sine_fw-la the_o quotient_a which_o come_v hereof_o shall_v yield_v the_o ark_n of_o your_o desire_n at_o both_o the_o six_o hour_n because_o the_o one_o six_o be_v the_o rise_n and_o the_o other_o the_o sit_v there_o be_v then_o no_o altitude_n of_o the_o sun_n above_o the_o horizon_n moreover_o to_o know_v how_o much_o the_o meridian_n altitude_n be_v of_o the_o sun_n enter_v into_o â_o add_v the_o great_a declination_n thereof_o to_o the_o complement_n of_o the_o elevation_n of_o the_o pole_n and_o by_o subtract_v the_o great_a declination_n of_o the_o sun_n from_o the_o complement_n of_o the_o elevation_n of_o the_o pole_n you_o shall_v likewise_o have_v the_o meridian_n altitude_n of_o the_o sun_n enter_v into_o â_o you_o shall_v likewise_o seek_v the_o height_n of_o the_o sun_n be_v in_o the_o 10_o degree_n of_o â_o above_o the_o horizon_n at_o 8_o of_o the_o clock_n before_o noon_n and_o at_o 4_o after_o noon_n at_o 7_o in_o
pass_v through_o both_o the_o sight_n and_o then_o the_o neathermost_a bead_n shall_v show_v the_o hour_n of_o the_o day_n either_o before_o or_o after_o noon_n for_o each_o line_n as_o you_o see_v have_v two_o hour_n but_o you_o may_v easy_o discern_v what_o hour_n of_o the_o day_n it_o be_v the_o unequal_a hour_n of_o the_o day_n be_v thus_o find_v out_o the_o nether_a bead_n be_v place_v upon_o his_o just_a degree_n in_o the_o zodiac_n lay_v it_o upon_o the_o ark_n of_o the_o 12._o hour_n the_o thread_n be_v extend_v thus_o hold_v this_o immovable_a place_v the_o uppermost_a bead_n upon_o y_fw-es â_o line_n of_o the_o 6._o hour_n unequal_a this_o do_v the_o sun_n beam_n enter_v both_o y_o â_o sight_n the_o high_a bead_n shall_v show_v the_o unequal_a and_o the_o neathermost_a the_o equal_a hour_n the_o rise_n and_o sit_v of_o the_o sun_n whereby_o the_o length_n of_o the_o day_n and_o night_n be_v know_v you_o shall_v find_v out_o on_o this_o manner_n place_v the_o nether_a bead_n upon_o the_o just_a degree_n of_o the_o sun_n in_o the_o zodiac_n then_o extend_v the_o thread_n upon_o the_o semidiameter_n e._n f._n of_o the_o quadrant_a and_o the_o bead_n shall_v show_v at_o or_o between_o what_o hour_n the_o sun_n rise_v and_o fall_v the_o height_n of_o the_o sun_n above_o the_o horizon_n at_o any_o time_n of_o the_o day_n be_v thus_o take_v receive_v the_o sun_n beam_n by_o the_o hole_n in_o your_o sight_n and_o the_o thread_n with_o the_o plunmet_a have_v liberty_n to_o move_v shall_v cut_v in_o the_o limb_n of_o the_o quadrant_n the_o just_a degree_n of_o the_o altitude_n of_o the_o sun_n above_o the_o horizon_n in_o like_a manner_n be_v the_o elevation_n of_o the_o star_n above_o the_o horizon_n search_v out_o you_o shall_v find_v out_o the_o elevation_n of_o the_o pole_n by_o the_o help_n of_o your_o quadrant_n thus_o take_v the_o height_n of_o the_o sun_n at_o 12_o of_o the_o clock_n when_o the_o day_n and_o night_n be_v of_o equal_a length_n which_o be_v subtract_v from_o 90_o d._n the_o elevation_n remain_v but_o if_o you_o assay_v that_o upon_o any_o other_o day_n than_o the_o equinoct_n you_o must_v consider_v whether_o the_o sun_n occupi_v the_o north_n or_o the_o south_n sign_n and_o then_o use_v the_o table_n of_o the_o declination_n of_o the_o sun_n on_o this_o wise_a when_o the_o sun_n be_v in_o the_o north_n sign_n subtract_v his_o declination_n from_o the_o meridian_n height_n thereof_o but_o if_o it_o be_v in_o the_o south_n sign_n add_v the_o declination_n to_o his_o meridian_n altitude_n the_o remainder_n or_o total_a sum_n be_v take_v from_o 90._o d._n the_o elevation_n of_o the_o pole_n shall_v remain_v how_o to_o make_v a_o instrument_n whereby_o you_o may_v know_v the_o just_a hour_n of_o the_o night_n by_o the_o star_n cap._n 27._o first_o prepare_v a_o plat_n or_o table_n of_o brass_n or_o firm_a and_o solid_a wood_n which_o will_v not_o change_v or_o bend_v somewhat_o thin_a let_v the_o form_n of_o it_o be_v round_o three_o inch_n broad_a or_o more_o or_o less_o as_o you_o will_n draw_v a_o circle_n nigh_o unto_o the_o edge_n and_o divide_v it_o into_o 12._o equal_a part_n wherein_o shall_v be_v place_v the_o 12._o sign_n of_o the_o zodiac_n then_o divide_v each_o of_o these_o part_n into_o 30._o equal_a part_n which_o shall_v show_v the_o number_n of_o the_o day_n that_o the_o sun_n move_v in_o every_o sign_n make_v a_o second_o circle_n wherein_o you_o may_v number_v the_o day_n and_o a_o three_o circle_n wherein_o write_v the_o character_n of_o the_o 12._o sign_n as_o you_o see_v in_o the_o figure_n follow_v draw_v likewise_o another_o circle_n wherein_o you_o may_v write_v the_o day_n of_o every_o month_n in_o the_o year_n which_o you_o may_v do_v by_o any_o calendar_n but_o for_o more_o easiness_n behold_v the_o table_n follow_v whereby_o you_o may_v likewise_o do_v it_o month._n day_n deg._n m._n character_n of_o the_o 12._o sign_n sign_n january_n 1_o 20_o 13_o â_o capricorn_n  _fw-fr 15_o 5_o 33_o â_o aquarius_n  _fw-fr 31_o 21_o 44_o â_o  _fw-fr february_n 14_o 5_o 52_o â_o pisces_fw-la  _fw-fr 28_o 19_o 48_o â_o  _fw-fr march_n 15_o 4_o 36_o â_o aries_n  _fw-fr 31_o 20_o 18_o â_o  _fw-fr april_n 15_o 4_o 51_o â_o taurus_n  _fw-fr 30_o 19_o 13_o â_o  _fw-fr may_n 15_o 4_o 38_o â_o gemini_fw-la  _fw-fr 31_o 18_o 50_o â_o  _fw-fr june_n 15_o 3_o 3_o â_o cancer_n  _fw-fr 30_o 17_o 22_o â_o  _fw-fr july_n 15_o 1_o 40_o â_o leo._n  _fw-fr 31_o 16_o 58_o â_o  _fw-fr august_n 15_o 1_o 24_o â_o virgo_fw-la  _fw-fr 31_o 16_o 58_o â_o  _fw-fr september_n 15_o 1_o 40_o â_o libra_n  _fw-fr 30_o 16_o 30_o â_o  _fw-fr october_n 15_o 1_o 30_o â_o scorpius_n  _fw-fr 31_o 17_o 43_o â_o  _fw-fr november_n 15_o 2_o 30_o â_o sagittarius_fw-la  _fw-fr 30_o 18_o 13_o â_o  _fw-fr december_n 15_o 3_o 38_o â_o capricorn_n enter_v this_o table_n and_o you_o shall_v find_v that_o the_o first_o day_n of_o january_n must_v be_v place_v against_o the_o 20._o d._n 13._o m_o of_o capricorn_n and_o the_o 15._o day_n against_o the_o 5._o d._n 33._o m._n of_o aquarius_n etc._n etc._n therefore_o lay_v your_o ruler_n upon_o the_o centre_n a._n of_o your_o plat_n and_o upon_o the_o 20._o d._n 13._o m._n of_o â_o and_o where_o it_o shall_v touch_v the_o circle_n which_o you_o make_v for_o the_o day_n of_o every_o month_n there_o make_v a_o mark_n which_o shall_v show_v the_o first_o day_n of_o january_n then_o lay_v it_o upon_o the_o 5._o d._n 33._o m._n of_o â_o and_z the_o centre_n a._n and_o where_o it_o shall_v touch_v the_o circle_n make_v a_o mark_n for_o the_o 15._o day_n of_o january_n then_o lay_v your_o ruler_n upon_o a._n and_o the_o 21._o d._n 44._o m._n of_o â_o and_o make_v likewise_o a_o mark_n for_o the_o 31._o day_n of_o january_n again_o place_v the_o ruler_n upon_o the_o centre_n a._n and_o the_o 5._o d._n 52._o m._n of_o â_o for_o the_o 14._o day_n of_o february_n work_v thus_o with_o all_o the_o rest_n until_o you_o have_v set_v down_o the_o beginning_n and_o midst_n of_o every_o month_n as_o the_o table_n do_v direct_v you_o then_o have_v find_v out_o the_o beginning_n &_o midst_n of_o every_o month_n you_o may_v at_o ease_n divide_v every_o space_n into_o so_o many_o part_n as_o there_o be_v day_n in_o the_o month_n which_o it_o serve_v for_o according_a as_o you_o see_v in_o this_o figure_n follow_v it_o shall_v be_v also_o necessary_a to_o make_v one_o circle_n to_o write_v the_o number_n of_o the_o day_n of_o the_o month_n and_o another_o for_o the_o name_n of_o the_o month_n you_o must_v make_v also_o a_o hole_n in_o the_o centre_n of_o this_o plat_n of_o such_o bigness_n as_o you_o may_v see_v a_o star_n through_o it_o as_o in_o the_o figure_n you_o may_v perceive_v have_v prepare_v this_o plat_n with_o the_o circle_n upon_o it_o for_o the_o 12._o sign_n and_o month_n you_o must_v prepare_v a_o other_o wheel_n full_a of_o tooth_n which_o you_o shall_v make_v on_o this_o manner_n take_v a_o thime_n table_n or_o platte_a of_o the_o same_o matter_n your_o other_o be_v draw_v a_o circle_n upon_o it_o so_o great_a as_o the_o inward_a circle_n of_o the_o first_o plat_n and_o divide_v it_o into_o 24._o equal_a part_n then_o draw_v line_n from_o the_o centre_n to_o every_o one_o of_o those_o part_n until_o you_o have_v so_o many_o as_o there_o be_v hour_n in_o the_o long_a night_n in_o your_o country_n then_o cut_v tooth_n by_o these_o line_n for_o the_o hour_n and_o write_v the_o number_n of_o they_o upon_o the_o tooth_n as_o you_o see_v in_o this_o figure_n let_v the_o tooth_n for_o the_o 12._o hour_n be_v so_o long_o from_o the_o centre_n to_o the_o end_n as_o be_v between_o the_o centre_n a._n of_o the_o other_o plat_n and_o the_o circle_n of_o the_o 12._o sign_n you_o must_v likewise_o make_v a_o hole_n in_o the_o centre_n of_o this_o wheel_n of_o the_o same_o bigness_n of_o that_o in_o the_o other_o plat_n the_o thothed_a wheel_n this_o do_v you_o must_v prepare_v a_o ruler_n which_o be_v place_v upon_o this_o wheel_n take_v therefore_o a_o thin_a piece_n of_o wood_n or_o brass_n and_o draw_v upon_o it_o a_o light_a line_n at_o y_z â_o one_o end_n thereof_o in_o the_o midst_n of_o the_o line_n make_v a_o hole_n of_o the_o same_o bigness_n which_o that_o be_v in_o the_o great_a plat_n and_o tothed_a wheel_n then_o draw_v a_o circle_n half_o a_o inch_n wide_a or_o more_o if_o you_o will_v afterward_o cut_v the_o ruler_n round_o at_o the_o end_n cut_v off_o likewise_o the_o one_o half_a of_o the_o breadth_n of_o the_o ruler_n by_o the_o line_n let_v
the_o length_n of_o the_o ruler_n from_o thââântre_n to_o the_o end_n be_v of_o such_o quantity_n as_o be_v from_o the_o centre_n of_o the_o great_a plat_n to_o the_o outward_a edge_n and_o a_o inch_n or_o more_o if_o y_o ãâã_d ãâã_d ãâã_d the_o foreside_n of_o your_o instrument_n be_v finish_v the_o backside_n must_v have_v two_o small_a hole_n and_o a_o handle_n which_o may_v turn_v and_o move_v about_o prepare_v they_o thus_o upon_o your_o great_a plat_n on_o the_o backside_n right_a against_o the_o four_o degree_n of_o â_o nigh_v the_o edge_n make_v a_o small_a hole_n wherein_o the_o little_a pin_n of_o the_o handle_n may_v be_v plaâed_v when_o need_n require_v and_o write_v by_o this_o the_o great_a bear_n again_o right_a against_o the_o 28_o d._n 1_o m._n of_o â_o on_o the_o backside_n make_v another_o hole_n likewise_o so_o that_o the_o handle_v be_v remove_v to_o it_o the_o pin_n may_v enter_v as_o in_o the_o other_o and_o by_o this_o write_v the_o lesser_a bear_n etc._n etc._n prepare_v for_o your_o handle_n a_o thin_a plate_n of_o iron_n brass_n or_o wood_n about_o six_o inch_n in_o length_n or_o more_o if_o you_o wil._n draw_v in_o the_o midst_n of_o it_o a_o line_n at_o the_o one_o end_n thereof_o make_v a_o hole_n in_o the_o midst_n of_o the_o line_n of_o such_o bigness_n as_o the_o hole_n in_o the_o great_a plat_n be_v upon_o this_o handle_n you_o must_v fasten_v a_o little_a short_a pin_n right_a in_o the_o line_n so_o that_o the_o handle_v be_v fasten_v with_o the_o pin_n towards_o the_o backside_n of_o the_o great_a plat_n and_o be_v move_v the_o pin_n may_v fall_v direct_o into_o the_o hole_n behold_v the_o figure_n follow_v prepare_v a_o hollow_a pin_n of_o iron_n or_o brass_n according_a to_o this_o figure_n above_o so_o great_a as_o it_o may_v easy_o enter_v into_o the_o hole_n of_o the_o handle_n so_o that_o it_o may_v turn_v upon_o it_o but_o let_v it_o go_v close_o into_o the_o great_a plat_n that_o it_o may_v remain_v immovable_a let_v the_o tothed_a wheel_n and_o the_o ruler_n move_v likewise_o upon_o it_o then_o place_v the_o tothed_a wheel_n and_o the_o ruler_n on_o the_o former_a side_n of_o the_o plat_n upon_o the_o pin_n and_o on_o the_o backside_n the_o handle_n with_o the_o little_a pin_n towards_o the_o back_n of_o the_o plat_n fasten_v they_o so_o together_o that_o the_o handle_n the_o tothed_a wheel_n and_o the_o ruler_n may_v turn_v upon_o the_o plat_n several_o or_o each_o by_o themselves_o at_o your_o pleasure_n and_o as_o need_n shall_v require_v notwithstanding_o you_o must_v be_v careful_a that_o the_o hole_n in_o your_o pin_n may_v be_v so_o great_a as_o you_o may_v perfect_o see_v the_o north_n star_n in_o the_o night_n through_o it_o then_o your_o instrument_n shall_v be_v finish_v who_o use_n follow_v afterward_o for_o better_a instruction_n behold_v the_o figure_n the_o use_n of_o this_o instrument_n first_o it_o shall_v be_v expedient_a to_o find_v out_o the_o star_n serve_v to_o this_o purpose_n which_o you_o may_v do_v by_o the_o figure_n follow_v you_o see_v in_o this_o figure_n the_o star_n which_o serve_v to_o our_o use_n the_o polare_fw-la star_n be_v a_o bright_a star_n in_o the_o north_n place_v in_o the_o tail_n of_o the_o lesser_a bear_n and_o move_v but_o a_o small_a course_n as_o in_o the_o figure_n the_o letter_n a._n show_v there_o be_v also_o another_o star_n of_o the_o lesser_a bear_n great_a and_o bright_a than_o the_o other_o and_o be_v note_v with_o the_o letter_n b._n and_o serve_v to_o this_o purpose_n also_o there_o be_v likewise_o in_o the_o great_a bear_v call_v also_o charles_n wain_n and_o of_o country_n man_n the_o plough_n two_o great_a bright_a star_n and_o be_v place_v almost_o in_o a_o right_a line_n with_o the_o polare_fw-la star_n &_o be_v note_v with_o the_o letter_n c._n d._n and_o these_o two_o star_n have_v 5_o other_o bright_a star_n by_o they_o but_o not_o so_o great_a as_o the_o other_o be_v these_o star_n which_o you_o see_v in_o the_o 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