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the_o 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 â—c_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
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 tropâ—k_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 〈◊〉_d the_o reclination_n of_o the_o plat_n
meridian_n or_o substile_n be_v of_o any_o wideness_n make_v there_o the_o point_n or_o centre_n f._n upon_o which_o centre_n draw_v the_o half_a equator_fw-la from_o g._n by_o e._n to_o h._n divide_v the_o one_o half_a thereof_o from_o e._n to_o h._n into_o 90._o d._n account_v therein_o from_o the_o meridian_n e._n towards_o h._n the_o declination_n of_o the_o plat_n 32._o d._n place_n the_o ruler_n upon_o the_o centre_n f._n and_o the_o end_n of_o this_o number_n and_o where_o it_o shall_v touch_v the_o contingent_a line_n there_o make_v a_o mark_n by_o this_o mark_v you_o must_v draw_v a_o line_n squire_n wise_a to_o the_o contingent_a line_n which_o shall_v be_v for_o the_o 12_o hour_n and_o where_o the_o ruler_n shall_v touch_v the_o equator_fw-la there_o begin_v to_o divide_v it_o into_o 12._o equal_a part_n by_o which_o lie_v the_o ruler_n from_o the_o centre_n f._n make_v in_o the_o line_n of_o contingence_n mark_n for_o the_o other_o hour_n line_n all_o which_o shall_v cut_v the_o contingent_a line_n squirewise_a note_v that_o sometime_o in_o divide_v of_o the_o equator_fw-la the_o two_o part_n at_o both_o end_n next_o to_o the_o semidiameter_n g._n h_n shall_v both_o of_o they_o make_v but_o one_o whole_a part_n unless_o you_o will_v make_v a_o whole_a circle_n for_o the_o equator_fw-la and_o divide_v it_o into_o 24._o part_n let_v the_o style_n be_v a_o small_a wire_n stand_v right_o up_o in_o the_o point_n e._n be_v so_o long_o as_o the_o semidiameter_n of_o the_o equator_fw-la it_o may_v be_v also_o a_o plate_n of_o iron_n or_o brass_n fasten_v in_o the_o substile_a so_o broad_a as_o the_o semidiameter_n be_v as_o in_o the_o east_n and_o west_n erect_v diall_n etc._n etc._n let_v the_o line_n a._n b._n be_v parallel_n to_o the_o horizon_n finish_v all_o other_o thing_n as_o before_o a_o south_n recline_v decline_v the_o three_o kind_n if_o the_o elevation_n of_o the_o meridian_n be_v less_o than_o the_o elevation_n of_o the_o pole_n the_o make_n of_o this_o dial_n iâ—_n unlike_a to_o both_o the_o other_o mention_v before_o yet_o the_o find_v out_o of_o the_o distance_n of_o the_o style_n from_o the_o substile_n be_v do_v like_o to_o the_o first_o kind_n as_o by_o the_o example_n follow_v may_v appear_v example_n of_o a_o south_n dial_n decline_a 45._o d_o recline_v 45._o d_o elevation_n of_o the_o pole_n 52._o d_z first_o i_o multiply_v the_o sine_fw-la of_o the_o declination_n be_v 7071_o by_o the_o sine_fw-la of_o the_o complement_n of_o the_o reclination_n which_o be_v likewise_o 70710_o and_o the_o product_n 4999904100_o i_o part_v by_o the_o whole_a sine_fw-la the_o quotient_n be_v 49999_o who_o ark_n be_v 30._o d._n the_o complement_n of_o this_o ark_n be_v 60._o d._n which_o be_v the_o complement_n to_o be_v repeat_v then_o i_o increase_v the_o sine_fw-la of_o the_o complement_n of_o the_o declination_n which_o be_v likewise_o 70710_o by_o the_o whole_a sine_fw-la and_o the_o product_n thereof_o 7071000000_o i_o divide_v by_o the_o sine_fw-la of_o the_o complement_n to_o be_v repeat_v 86602_o the_o quotient_a sine_fw-la 81649_o yield_v a_o ark_n 54._o d._n 44._o m._n which_o be_v the_o distance_n of_o the_o meridian_n from_o the_o horizon_n afterward_o i_o multiply_v this_o sine_fw-la 81649_o by_o the_o sine_fw-la of_o the_o complement_n of_o the_o reclination_n which_o be_v 70710_o the_o product_n arise_v 5773400790_o i_o part_n by_o the_o whole_a sine_fw-la the_o quotient_n be_v 57734._o the_o ark_n whereof_o be_v 35._o d._n 16._o m._n the_o elevation_n of_o the_o meridian_n which_o i_o compare_v with_o the_o elevation_n of_o the_o pole_n be_v in_o our_o example_n 52._o d._n and_o find_v the_o meridian_n elevation_n to_o be_v least_o i_o subtract_v it_o out_o of_o the_o elevation_n of_o the_o pole_n &_o there_o remain_v 16._o d._n 44._o m._n which_o be_v the_o difference_n keep_v this_o do_v i_o augment_v 86602_o the_o sine_fw-la of_o the_o complement_n to_o be_v repeat_v by_o 28791_o the_o sine_fw-la of_o the_o difference_n keep_v and_o the_o product_n 2493358182_o come_v hereof_o i_o divide_v by_o the_o whole_a sine_fw-la the_o quotient_a sine_fw-la 24933_o yield_v a_o ark_n 14._o d._n 26._o m._n the_o distance_n of_o the_o style_n from_o the_o substile_a now_o compare_v the_o complement_n of_o this_o distance_n be_v 75._o d._n 34._o m._n with_o the_o complement_n of_o the_o difference_n keep_v which_o be_v 73._o d._n 16._o m._n and_o see_v the_o complement_n of_o the_o difference_n keep_v to_o be_v least_o i_o multiply_v 95765_o the_o sine_fw-la thereof_o by_o the_o whole_a sine_fw-la and_o the_o product_n 9576500000_o i_o divide_v by_o 96843_o the_o sine_fw-la of_o the_o complement_n of_o the_o distance_n and_o 98886_o be_v the_o quotient_a thereof_o who_o ark_n be_v 81._o d._n 27._o m._n the_o complement_n of_o this_o ark_n be_v 8._o d._n 33._o m._n which_o be_v the_o distance_n of_o the_o substile_a from_o the_o meridian_n in_o the_o delineation_n of_o this_o dial_n draw_v first_o as_o before_o a_o line_n parallel_n to_o the_o horizon_n a_o b._n extend_v another_o c._n d._n make_v right_a angle_n with_o the_o line_n a._n b._n draw_v the_o quadrant_n from_o a._n to_o d._n divide_v it_o into_o 90._o degree_n in_o which_o account_n the_o distance_n of_o the_o meridian_n from_o the_o horizon_n from_o a._n towards_o d._n which_o be_v 54._o d._n 44._o m._n draw_v at_o the_o end_n of_o this_o number_n the_o meridian_n line_n from_o the_o centre_n c._n which_o shall_v show_v the_o 12._o hour_n account_v from_o this_o towards_o d._n the_o distance_n of_o the_o substile_a from_o the_o meridian_n which_o be_v 8._o d._n 33._o m._n at_o the_o end_n hereof_o extend_v from_o c._n the_o line_n e._n for_o the_o substile_a from_o this_o number_n the_o distance_n of_o the_o style_n be_v 14._o d._n 26._o m._n towards_o d._n if_o there_o be_v so_o much_o space_n if_o not_o account_v it_o from_o the_o substile_a towards_o a._n make_v at_o the_o end_n of_o this_o 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the_o inclination_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 this_o lesser_a out_o of_o the_o other_o be_v great_a and_o with_o the_o number_n remain_v as_o if_o it_o be_v the_o elevation_n of_o the_o pole_n make_v your_o dial_n like_a to_o a_o horizontall_a this_o kind_n likewise_o show_v very_o few_o hour_n example_n of_o this_o last_o kind_n incline_v 45._o d_o first_o i_o take_v 38._o d._n be_v the_o complement_n of_o the_o elevation_n of_o the_o pale_a out_o of_o 45._o d._n the_o inclination_n of_o the_o plat_n and_o there_o remain_v 7._o d._n which_o i_o keep_v for_o the_o elevation_n of_o the_o pole_n for_o the_o delineation_n of_o this_o dial_n resort_n to_o the_o horizontall_a cap._n 3._o a_o north_n incline_v direct_a the_o make_n of_o the_o east_n and_o west_n incline_v dial_n cap._n 18._o multiply_v the_o sine_fw-la of_o the_o elevation_n of_o the_o pole_n by_o the_o sine_fw-la of_o the_o inclination_n of_o the_o plat_n 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a._n b._n make_v the_o perpendiculare_a line_n c._n d._n squirewise_a to_o the_o other_o describe_v the_o quadrant_a from_o a._n to_o d._n number_n from_o a._n towards_o d._n 33._o d._n 52._o m._n the_o distance_n of_o the_o substile_a from_o the_o meridian_n and_o at_o the_o end_n hereof_o from_o c._n draw_v the_o line_n e._n for_o the_o substile_a account_v from_o this_o 42._o d._n 9_o m._n draw_v likewise_o at_o the_o end_n of_o this_o number_n the_o line_n g._n for_o the_o style_n let_v the_o contingent_a line_n cut_v the_o substile_a squirewise_a finish_v all_o thing_n else_o as_o in_o the_o east_n recline_v a_o east_n and_o west_n incline_v the_o make_n of_o a_o south_n incline_v decline_a dial_n cap._n 19_o first_o multiply_v the_o sine_fw-la of_o the_o declination_n by_o the_o sine_fw-la of_o the_o complement_n of_o the_o inclination_n part_v the_o product_n by_o the_o whole_a sine_fw-la the_o quotient_a sine_fw-la shall_v yield_v a_o ark_n who_o complement_n shall_v be_v name_v the_o complement_n repeat_v then_o increase_v the_o sine_fw-la of_o the_o complement_n of_o the_o declination_n by_o the_o whole_a sine_fw-la and_o the_o product_n divide_v by_o the_o sine_fw-la of_o the_o complement_n repeat_v whereof_o shall_v come_v a_o sine_fw-la who_o ark_n be_v the_o distance_n of_o the_o meridian_n from_o the_o horizon_n afterward_o this_o sine_fw-la be_v multiply_v by_o the_o sine_fw-la of_o the_o complement_n of_o the_o inclination_n and_o the_o product_v part_v by_o the_o whole_a sine_fw-la the_o ark_n of_o the_o quotient_a sine_fw-la shall_v be_v the_o elevation_n of_o the_o meridian_n which_o ark_n you_o must_v add_v to_o the_o elevation_n of_o the_o pole_n and_o if_o the_o total_a number_n be_v less_o than_o 90._o d._n it_o shall_v be_v name_v the_o doubtful_a ark_n but_o if_o it_o be_v great_a than_o 90._o d._n take_v it_o from_o 180_o and_o let_v the_o remainder_n be_v call_v the_o doubtful_a ark_n this_o do_v augment_v the_o sine_fw-la of_o the_o 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substile_a mark_v this_o likewise_o if_o the_o doubtful_a ark_n be_v equal_a 90_o degree_n let_v the_o complement_n repeat_v be_v the_o distance_n of_o the_o style_n from_o the_o substile_a then_o shall_v there_o be_v just_a 90_o d._n for_o the_o space_n between_o the_o substile_a and_o the_o meridian_n as_o before_o be_v teach_v in_o the_o north_n decline_v reclining_a whither_o you_o may_v resort_v for_o the_o work_n hereof_o here_o it_o shall_v be_v sufficient_a to_o show_v two_o example_n with_o the_o delineation_n of_o their_o figure_n the_o one_o where_o the_o doubtful_a ark_n be_v subtract_v from_o 180_o d._n and_o the_o other_o where_o there_o be_v no_o subtraction_n hereof_o because_o it_o be_v less_o than_o 90_o degree_n example_n of_o a_o south_n dial_n incline_v 45_o degree_n decline_a 45_o degree_n forasmuch_o as_o this_o be_v altogether_o like_a to_o the_o north_n recline_v 45_o d._n decline_v 45_o d._n whither_o you_o may_v resort_v i_o will_v omit_v the_o work_n of_o 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the_o true_a distance_n of_o the_o substile_a from_o the_o meridian_n in_o the_o delineation_n of_o this_o dial_n first_o as_o before_o make_v a_o line_n paralele_v to_o the_o horizon_n a._n b._n draw_v another_o perpendicular_a c._n d._n cut_v the_o former_a squirewise_a make_v two_o quadrant_n from_o a._n by_o d_o to_o b._n if_o the_o plat_n decline_v westward_o number_n the_o distance_n of_o the_o meridian_n from_o the_o horizon_n from_o a._n towards_o d._n etc._n etc._n but_o if_o the_o declination_n be_v eastward_o as_o in_o this_o example_n it_o be_v then_o account_v this_o distance_n of_o the_o meridian_n from_o the_o horizon_n which_o be_v 54_o d._n 44_o m._n from_o b._n towards_o d._n draw_v at_o the_o end_n hereof_o from_o the_o centre_n c._n the_o meridian_n line_n which_o shall_v show_v the_o 12_o hour_n account_v likewise_o from_o that_o towards_o a._n 95_o d._n 27_o m._n the_o distance_n of_o the_o substile_a from_o the_o meridian_n make_v in_o like_a manner_n the_o 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the_o ark_n 11._o d._n 47._o m._n of_o the_o quotient_a sine_fw-la 23184_o be_v the_o distance_n of_o the_o style_n from_o the_o substile_a now_o the_o complement_n of_o this_o distance_n be_v 76._o d._n 36._o m._n compare_v with_o 74._o d._n 47._o m._n the_o complement_n of_o the_o difference_n keep_v i_o increase_v 96494_o the_o sine_fw-la of_o the_o lesser_a by_o the_o whole_a sine_fw-la and_z y_z â—_o product_v thereof_o 9649400000_o i_o distribute_v by_o 97277_o the_o sine_fw-la of_o the_o great_a and_o the_o quotient_n be_v 99191._o who_o ark_n be_v 82._o d._n 43._o m._n the_o complement_n whereof_o be_v 7._o d._n 17._o m._n be_v the_o distance_n of_o the_o substile_a from_o the_o meridian_n the_o delineation_n of_o the_o dial_n if_o the_o equator_fw-la of_o the_o meridian_n be_v great_a than_o the_o elenation_n of_o the_o pole_n draw_v a_o line_n a._n b._n parallel_n to_o the_o horizen_n make_v another_o c._n d._n squirewise_a to_o the_o former_a describe_v the_o quadrant_a on_o the_o left_a hand_n from_o a._n to_o c._n because_o the_o declination_n be_v on_o the_o right_a hand_n number_v therein_o from_o a._n upward_o 76._o d._n 32._o m._n the_o distance_n of_o the_o meridian_n from_o the_o horizon_n draw_v at_o the_o end_n thereof_o from_o d._n the_o line_n g._n represent_v the_o meridian_n from_o this_o backward_a towards_o a_o account_n the_o distance_n of_o the_o substile_a from_o the_o meridian_n which_o be_v 7._o d._n 41._o m._n make_v likewise_o at_o y_fw-fr â—_o end_n of_o this_o number_n from_o d._n the_o line_n e._n for_o the_o substile_a from_o hence_o account_v 11._o d._n 47._o m._n be_v the_o distance_n of_o the_o style_n from_o the_o substile_a draw_v in_o like_a manner_n from_o d._n the_o line_n f._n for_o the_o style_n let_v the_o line_n of_o contingence_n cut_v the_o substile_a squirewise_o as_o before_o make_v the_o equator_fw-la in_o this_o as_o in_o the_o other_o before_o place_v the_o ruler_n upon_o the_o centre_n h._n and_o the_o intersection_n of_o the_o contingent_a line_n and_o the_o meridian_n begin_v the_o division_n thereof_o into_o 24._o equal_a part_n where_o the_o ruler_n shall_v touch_v the_o equator_fw-la finish_v all_o thing_n remain_v as_o before_o remember_v that_o in_o this_o kind_n of_o north_n incline_v decline_a dial_n the_o meridian_n line_n rather_o represent_v the_o 12._o hour_n at_o midnight_n then_o in_o the_o day_n wherefore_o in_o account_v the_o hour_n line_n let_v the_o meridian_n be_v always_o for_o the_o 12._o hour_n in_o the_o night_n and_o then_o if_o your_o plat_n decline_v westward_o account_v backward_o as_o it_o be_v 11._o 10._o 9_o which_o hour_n with_o the_o 12._o you_o may_v omit_v in_o the_o delineation_n of_o your_o dial_n because_o they_o have_v no_o use_n in_o our_o elevation_n but_o account_v forward_o 8_o 7_o 6_o 5_o 4._o etc._n etc._n so_o many_o as_o you_o think_v shall_v be_v necessary_a for_o some_o declination_n will_v receive_v more_o than_o other_o will_n the_o great_a the_o more_o the_o lesser_a the_o sewer_a hour_n but_o if_o the_o declination_n of_o your_o plat_n be_v eastward_o then_o account_v from_o the_o meridian_n line_n forward_o 1_o 2_o 3_o 4._o etc._n etc._n so_o many_o as_o shall_v be_v needful_a omit_v likewise_o y_z â—_o first_o three_o etc._n etc._n a_o north_n incline_v decline_a the_o second_o kind_n but_o if_o the_o elevation_n of_o the_o meridian_n and_o the_o elevation_n of_o the_o pole_n be_v equal_a the_o make_n of_o the_o dial_n differ_v from_o the_o other_o before_o for_o a_o example_n hereof_o and_o y_fw-fr â—_o draw_v of_o the_o figure_n resort_n to_o you_o â—_o south_n recline_v 33_o d._n 30._o m._n decline_v 32._o d._n for_o these_o be_v both_o alike_o only_o remember_v here_o that_o if_o this_o decline_v eastward_o make_v the_o quadrant_a likewise_o on_o the_o east_n side_n etc._n etc._n but_o if_o the_o plat_n decline_v towards_o the_o west_n make_v the_o quadrant_a westward_n as_o in_o the_o figure_n follow_v 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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 ♑_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 ♓_o pisces_fw-la  _fw-fr 28_o 19_o 48_o ♓_o  _fw-fr march_n 15_o 4_o 36_o ♈_o aries_n  _fw-fr 31_o 20_o 18_o ♈_o  _fw-fr april_n 15_o 4_o 51_o ♉_o taurus_n  _fw-fr 30_o 19_o 13_o ♉_o  _fw-fr may_n 15_o 4_o 38_o ♊_o gemini_fw-la  _fw-fr 31_o 18_o 50_o ♊_o  _fw-fr june_n 15_o 3_o 3_o ♋_o cancer_n  _fw-fr 30_o 17_o 22_o ♋_o  _fw-fr july_n 15_o 1_o 40_o ♌_o leo._n  _fw-fr 31_o 16_o 58_o ♌_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 ♎_o libra_n  _fw-fr 30_o 16_o 30_o ♎_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 ♑_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 ♑_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 ♓_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
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 ♈_o until_o such_o tâ—ne_n as_o it_o enter_v ♎_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
hour_n line_n place_v the_o meridian_n perpendicular_o upon_o the_o wall_n the_o centre_n e._n upward_o the_o style_n point_v downward_o let_v the_o style_n hang_v direct_o over_o the_o substile_a make_v a_o angle_n equal_a to_o e._n m._n l._n the_o make_n of_o a_o north_n erect_v decline_a dial_n cap._n 8._o the_o north_n erect_v decline_a dial_n differ_v from_o the_o south_n only_o herein_o that_o the_o centre_n be_v to_o be_v place_v downward_o the_o style_n point_v upward_o to_o the_o north_n pole_n and_o that_o the_o meridian_n represent_v the_o 12._o hour_n at_o midnight_n and_o not_o at_o noon_n therefore_o if_o the_o declination_n be_v towards_o the_o east_n 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 forthward_o 1_o 2_o 3_o 4_o 5_o 6_o etc._n etc._n but_o if_o it_o decline_v towards_o the_o west_n number_v they_o backward_o 11_o 10_o 9_o 8_o etc._n etc._n omit_v the_o first_o 3._o which_o be_v before_o sun_n rise_v and_o after_o sun_n set_v in_o our_o elevation_n let_v the_o line_n e._n d._n be_v place_v perpendicular_o upon_o the_o plat_n and_o the_o style_n point_n upward_o to_o the_o north_n pole_n compare_v this_o figure_n with_o the_o former_a another_o way_n to_o make_v the_o south_n erect_v decline_a dial_n cap._n 9_o albeit_o we_o have_v plain_o and_o perfect_o show_v the_o make_n of_o the_o south_n and_o north_n erect_v decline_a dial_n in_o the_o two_o former_a chapter_n yet_o to_o satisfy_v they_o that_o delight_n in_o variety_n here_o be_v also_o declare_v another_o way_n whereby_o you_o may_v make_v they_o namely_o by_o the_o help_n of_o arithmetic_n and_o the_o table_n of_o sines_n which_o be_v sines_n place_v in_o the_o end_n of_o this_o book_n for_o this_o intent_n therefore_o the_o elevation_n of_o the_o pole_n be_v know_v and_o the_o declination_n of_o your_o plat_n by_o your_o instrument_n find_v out_o multiply_v the_o sine_fw-la of_o the_o complement_n of_o the_o elevation_n 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c._n e._n for_o the_o substile_a then_o from_o e._n towards_o a._n account_v the_o distance_n of_o the_o style_n from_o the_o substile_a which_o be_v 25._o do_v 48._o m._n and_o at_o the_o end_n hereof_o draw_v the_o line_n c._n f._n for_o the_o style_n afterward_o by_o the_o point_n e._n or_o in_o any_o place_n of_o the_o substile_n draw_v the_o contingent_a line_n g._n h._n so_o long_o as_o you_o can_v squirewise_o to_o the_o substile_a then_o take_v with_o your_o compass_n the_o least_o distance_n between_o e._n and_o the_o style_n the_o one_o foot_n remain_v in_o e._n and_o the_o other_o extend_v in_o the_o substile_a towards_o c._n place_n at_o the_o prick_n there_o make_v with_o the_o compass_n i._o upon_o which_o prick_n as_o a_o centre_n the_o same_o wideness_n of_o your_o compass_n remain_v draw_v a_o circle_n by_o e._n which_o shall_v represent_v the_o equinoctial_a or_o equator_fw-la then_o lay_v the_o ruler_n upon_o the_o point_n i._o and_o the_o intersection_n who_o mark_n 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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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about_o noon_n and_o yet_o not_o these_o unless_o the_o reclination_n shall_v be_v great_a than_o the_o â—â—…hest_a bend_v of_o the_o tropic_a of_n ♑_o from_o the_o zenith_n example_n of_o a_o north_n dial_n recline_v 80._o d_o first_o add_v the_o complement_n of_o â—he_n reclination_n of_o the_o plat_n which_o be_v 10._o d._n to_o the_o elevation_n of_o the_o pole_n 52._o d._n and_o with_o the_o total_a number_n 62._o d._n â—â—â—f_o it_o be_v the_o elevation_n of_o the_o pole_n make_v a_o horizontall_a dial_n as_o be_v show_v cap._n 3._o always_o remember_v to_o call_v the_o two_o number_n add_v together_o the_o elevation_n of_o the_o pole_n a_o north_n recline_v direct_a the_o make_n of_o a_o east_n and_o west_n dial_n recline_v cap._n 13._o first_o multiply_v the_o sine_fw-la of_o the_o elevation_n of_o the_o pole_n by_o the_o sine_fw-la of_o the_o reclination_n of_o the_o plat_n and_o divide_v the_o product_n by_o the_o whole_a sine_fw-la whereof_o shall_v come_v a_o quotient_a who_o ark_n be_v the_o distance_n of_o the_o style_n from_o the_o substile_a compare_v the_o complement_n of_o this_o distance_n with_o the_o complement_n of_o the_o elevation_n of_o the_o pole_n and_o which_o you_o shall_v find_v least_o multiply_v the_o sine_fw-la thereof_o by_o the_o whole_a sine_fw-la part_v the_o product_n by_o the_o sine_fw-la of_o the_o great_a the_o quotient_n shall_v yield_v a_o ark_n who_o complement_n shall_v be_v the_o distance_n of_o the_o substile_a from_o the_o meridian_n example_n of_o a_o east_n or_o west_n dial_n recline_v 45._o degree_n first_o i_o multiply_v the_o sine_fw-la of_o the_o elevation_n of_o the_o pole_n 52._o degree_n be_v 78801._o by_o the_o sine_fw-la of_o the_o reclination_n of_o the_o plat_n which_o be_v 70710._o &_o the_o product_n 5572018710_o i_o divide_v by_o 100000_o the_o whole_a sine_fw-la and_o the_o quotient_n be_v 55720._o the_o ark_n whereof_o be_v 33._o d._n 52._o m._n which_o be_v the_o distance_n of_o the_o substile_a from_o the_o style_n then_o i_o compare_v the_o complement_n of_o this_o distance_n which_o be_v 56._o d._n 8._o m._n with_o the_o complement_n of_o the_o elevation_n of_o the_o pole_n which_o be_v 38._o d._n and_o find_v the_o complement_n of_o the_o elevation_n to_o be_v least_o i_o multiply_v 61566_o the_o sine_fw-la thereof_o by_o the_o whole_a sine_fw-la and_o the_o product_n arise_v thereof_o be_v 6156600000_o which_o i_o divide_v by_o the_o sine_fw-la of_o the_o great_a which_o be_v the_o complement_n of_o the_o distance_n who_o sine_fw-la be_v 83033._o and_o the_o quotient_a 74141_o yield_v a_o ark_n 47._o d._n 51._o m._n who_o complement_n be_v 42._o d._n 9_o m._n which_o be_v the_o distance_n of_o the_o substile_a from_o the_o meridian_n first_o draw_v a_o line_n parallel_n to_o the_o horizon_n a._n b._n draw_v figure_n another_o squire_n wise_a c._n d._n then_o make_v the_o quadrant_a from_o a._n to_o d._n number_n therein_o the_o distance_n of_o the_o substile_a from_o the_o meridian_n which_o we_o find_v to_o be_v in_o our_o example_n 42._o d._n 9_o m._n from_o a._n towards_o d._n at_o the_o end_n of_o this_o number_n from_o the_o centre_n c._n draw_v the_o line_n for_o the_o substile_a c._n e._n account_v from_o this_o line_n the_o distance_n between_o the_o style_n and_o the_o substile_a which_o be_v 33._o d._n 52._o m._n draw_v likewise_o at_o the_o end_n of_o this_o number_n from_o c._n the_o line_n c._n g._n for_o the_o style_n let_v the_o line_n of_o contingence_n be_v squire_n wise_a to_o the_o substile_a in_o any_o point_n where_o you_o will_n then_o take_v with_o your_o compass_n the_o least_o distance_n between_o the_o point_n e._n and_o the_o line_n of_o the_o style_n with_o that_o wideness_n the_o one_o foot_n remain_v in_o e._n extend_v the_o other_o in_o the_o line_n of_o the_o substile_a towards_o c._n make_v there_o the_o point_n f._n upon_o which_o draw_v the_o equator_fw-la from_o h._n by_o e._n to_o i._o divide_v it_o into_o 12._o 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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 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