of_o those_o into_o five_o if_o you_o can_v and_o so_o be_v each_o quadrant_a divide_v into_o 90._o degree_n moreover_o it_o be_v necessary_a if_o your_o instrument_n be_v large_a enough_o to_o part_n each_o degree_n into_o 60._o minute_n or_o at_o the_o least_o into_o 3._o whereof_o each_o part_n may_v contain_v 20._o minute_n this_o do_v fasten_v a_o thread_n well_o ware_v in_o the_o centre_n e._n with_o a_o plommet_n of_o lead_n on_o the_o end_n so_o that_o it_o may_v move_v at_o free_a liberty_n you_o may_v also_o if_o you_o will_v upon_o this_o side_n of_o the_o quadrant_a between_o e._n d._n draw_v the_o dial_n who_o delineation_n be_v teach_v in_o the_o 28._o chapter_n it_o be_v necessary_a to_o have_v here_o a_o little_a hole_n with_o a_o cover_n to_o put_v in_o your_o plâ—â—â—…et_n &_o thread_n the_o â—omer_a â—â—â—_o of_o â—â—â—â—_o instrument_n thus_o finish_v let_v the_o other_o be_v altogether_o liâ—e_z unto_o it_o except_o that_o in_o stead_n of_o the_o the_o thread_n with_o the_o plâ—â—â—â—…t_n you_o must_v have_v a_o plombrule_n make_v in_o this_o manner_n prepare_v a_o piece_n of_o very_a good_a wood_n try_v it_o perfect_o on_o both_o side_n to_o a_o equal_a thickness_n let_v it_o be_v about_o half_a a_o inch_n thick_a and_o twice_o so_o broad_a as_o the_o space_n between_o the_o line_n c._n d._n of_o your_o instrument_n and_o the_o edge_n a._n b._n in_o the_o midst_n thereof_o draw_v the_o right_a line_n g._n h._n and_o place_v one_o foot_n of_o your_o compass_n in_o the_o point_n g._n with_o the_o other_o make_v a_o half_a circle_n according_a to_o the_o breadth_n of_o the_o ruler_n whereby_o you_o may_v cut_v the_o end_n round_o make_v the_o other_o end_n with_o a_o sharp_a point_n right_a in_o the_o end_n of_o the_o line_n g._n h._n as_o you_o see_v in_o this_o figure_n let_v the_o distance_n between_o the_o point_n g._n and_o the_o end_n h._n be_v so_o much_o as_o be_v the_o semidiameter_n of_o the_o quadrant_a make_v by_o g._n a_o hole_n so_o great_a that_o a_o plommet_n of_o lead_n hang_v by_o a_o thread_n from_o the_o sharp_a end_n may_v move_v therein_o at_o liberty_n make_v also_o a_o other_o round_o or_o square_a hole_n wherein_o you_o may_v place_v a_o needle_n touch_v with_o the_o loadstone_n as_o in_o the_o compass_n or_o dial_n you_o see_v final_o make_v a_o little_a hole_n in_o the_o point_n or_o centre_n g._n and_o with_o a_o broad_a head_a naâ—e_n of_o brass_n fasten_v it_o upon_o the_o centre_n e._n of_o your_o instrument_n so_o as_o it_o may_v move_v &_o turn_v which_o way_n you_o will_v and_o then_o your_o instrument_n be_v finish_v note_v that_o you_o may_v make_v your_o instrument_n in_o form_n of_o a_o quadrangle_n rightangle_v as_o witekindê°_n teach_v cut_v a_o round_a furrow_n without_o the_o circle_n and_o degree_n make_v for_o the_o plommet_n to_o hang_v at_o liberty_n in_o so_o shall_v you_o need_v but_o one_o side_n of_o your_o instrument_n to_o use_v with_o a_o compass_n or_o needle_n touch_v with_o the_o loadstone_n for_o declination_n but_o the_o form_n of_o the_o other_o who_o make_v we_o have_v teach_v seem_v more_o commnodious_a behold_v the_o figure_n the_o use_n of_o this_o instrument_n cap._n 2._o the_o use_n of_o this_o instrument_n be_v in_o examine_v and_o place_v the_o plat_n or_o dial_n in_o immoveble_a plait_n to_o know_v how_o they_o stand_v as_o if_o you_o will_v make_v a_o dial_n upon_o a_o wall_n first_o you_o must_v understand_v whether_o the_o wall_n be_v erect_v or_o else_o recline_v or_o incline_v then_o whether_o it_o be_v direct_a east_n west_n north_n or_o south_n or_o else_o decline_v which_o you_o can_v know_v without_o the_o help_n of_o this_o instrument_n again_o in_o movable_a plait_n for_o the_o place_n of_o they_o as_o if_o you_o have_v make_v a_o south_n dial_n or_o any_o other_o kind_n by_o this_o instrument_n you_o shall_v easy_o and_o perfect_o place_v they_o the_o trial_n of_o a_o plat_n for_o a_o horizontall_a dial_n if_o your_o plat_n seem_v to_o lie_v plain_a make_v no_o angle_n with_o the_o horizon_n set_v the_o side_n or_o diameter_n a._n b._n of_o your_o instrument_n upon_o it_o and_o erect_v the_o plombrule_n right_o up_o between_o the_o two_o quadrant_n precise_o over_o the_o line_n e._n f._n then_o if_o the_o thread_n with_o the_o plommet_n hang_v at_o liberty_n fall_v direct_o upon_o his_o line_n g._n h._n which_o way_n soever_o you_o turn_v your_o instrument_n such_o a_o plat_n be_v say_v to_o make_v no_o angle_n with_o the_o horizon_n and_o therefore_o the_o dial_n which_o be_v make_v upon_o it_o be_v call_v a_o horizontall_a dial_n in_o like_a manner_n may_v you_o place_v this_o kind_n of_o dial_n be_v ready_o make_v parallel_n to_o the_o horizon_n and_o by_o the_o help_n of_o the_o needle_n direct_v the_o stile_n towards_o the_o north_n pole_n the_o try_v of_o plait_n for_o erect_a direct_v south_n north_n east_n and_o west_n dial_n when_o the_o plat_n stand_v upright_o it_o make_v a_o right_a angle_n with_o the_o horizon_n and_o be_v call_v erect_a whereof_o some_o behold_v one_o priucipall_a part_n of_o the_o world_n direct_o as_o the_o south_n north_n east_n or_o west_n other_o decline_n as_o the_o south_n and_o north_n towards_o the_o east_n or_o west_n of_o which_o kind_n hereafter_o to_o examine_v a_o erect_a plat_n apply_v the_o side_n or_o diameter_n a._n b._n of_o your_o instrument_n unto_o it_o the_o thread_n with_o the_o plommet_n on_o the_o foreside_n hang_v at_o liberty_n if_o the_o thread_n fall_v upon_o the_o line_n e._n c._n or_o e._n d._n the_o plat_n be_v erect_a this_o do_v apply_v the_o say_a line_n or_o diameter_n a._n b._n to_o you_o â—_o plat_n your_o instrument_n be_v place_v equal_o distant_a to_o the_o horizon_n and_o the_o plombrule_n upon_o the_o line_n e._n i._o then_o if_o the_o needle_n stand_v direct_o over_o his_o character_n the_o end_n touch_v with_o the_o loadstone_n be_v next_o to_o the_o plat_n that_o plat_n be_v call_v a_o south_n erect_v direct_a in_o the_o north_n all_o the_o foresay_a thing_n be_v to_o be_v consider_v except_o only_o that_o the_o end_n of_o the_o needle_n touch_v with_o you_o â—_o loadstone_n be_v far_a from_o the_o plat_n these_o thing_n know_v you_o may_v easy_o find_v out_o the_o east_n and_o west_n erect_v direct_a if_o either_o you_o have_v a_o line_n draw_v squire_n wise_a to_o the_o character_n of_o the_o needle_n or_o else_o if_o you_o place_v the_o plombrule_n over_o the_o line_n e._n c._n or_o e._n d._n and_o here_o note_v that_o the_o east_n and_o west_n be_v not_o say_v to_o decline_v because_o the_o declination_n be_v account_v from_o the_o south_n and_o north_n to_o the_o direct_a east_n and_o west_n point_n the_o examine_n of_o plait_n for_o decline_a dial_n all_o such_o plait_n as_o behold_v not_o some_o principal_a part_n of_o the_o world_n direct_o be_v call_v decline_a the_o quantity_n of_o their_o declination_n be_v find_v out_o thus_o apply_v the_o diameter_n a._n b._n of_o your_o instrument_n to_o the_o plat_n remember_v to_o hold_v it_o equal_o distant_a from_o the_o horizon_n then_o move_v the_o plombrule_n until_o the_o needle_n stand_v right_a over_o the_o character_n and_o the_o point_n of_o the_o ruler_n which_o touch_v the_o degree_n in_o the_o limb_n shall_v show_v how_o many_o degree_n and_o minute_n it_o do_v decline_v either_o towards_o the_o east_n if_o y_z â—_o plumb-rule_a lie_v in_o the_o quadrant_a c._n e._n f._n or_o towards_o the_o west_n if_o in_o the_o quadrant_a d._n e._n f._n the_o try_v of_o such_o plait_n as_o recline_v if_o the_o plat_n stand_v not_o upright_o but_o make_v a_o obtuse_a or_o blunt_a angle_n with_o the_o horizon_n it_o be_v say_v to_o recline_v the_o degree_n of_o reclination_n be_v find_v out_o thus_o apply_v the_o diameter_n a._n b._n of_o your_o instrument_n to_o the_o plat_n the_o one_o end_n place_v upward_o the_o other_o downward_o they_o move_v the_o plomrule_n the_o thread_n with_o the_o plommet_n have_v free_a course_n until_o the_o thread_n hang_v precise_o over_o the_o line_n g._n h._n then_o the_o point_n of_o the_o ruler_n shall_v show_v the_o degree_n of_o reclination_n how_o incline_v plait_n be_v try_v but_o if_o the_o angle_n which_o the_o plat_n make_v with_o the_o horizon_n be_v acute_a or_o sharp_a than_o it_o do_v incline_v the_o quantity_n of_o inclination_n be_v thus_o know_v apply_v the_o diameter_n a._n b._n of_o your_o instrument_n to_o the_o plat_n the_o thread_n with_o the_o plommet_n of_o the_o former_a side_n hang_v at_o liberty_n and_o mark_v what_o degree_n and_o minute_n the_o thrad_a shall_v cut_v for_o so_o much_o be_v the_o inclination_n the_o manner_n of_o try_v those_o plait_n which_o recline_v and_o decline_v
understand_v only_o thus_o much_o i_o advertise_v the_o unlearned_a that_o they_o must_v acquaint_v themselves_o with_o some_o few_o mathematical_a principle_n as_o to_o know_v what_o the_o elevation_n of_o the_o pole_n mean_v how_o a_o squire_n line_n be_v to_o be_v draw_v and_o such_o like_a which_o if_o they_o want_v a_o teacher_n they_o may_v sufficient_o learn_v by_o themselves_o out_o of_o record_n castle_n his_o pathway_n and_o ground_n of_o art_n publish_v in_o the_o english_a tongue_n for_o these_o term_n can_v not_o be_v avoid_v neither_o plain_o describe_v without_o much_o tediousness_n we_o have_v here_o add_v also_o example_n and_o figure_n to_o every_o kind_n that_o so_o the_o precept_n may_v appear_v more_o plain_a and_o easy_a so_o that_o there_o be_v no_o plain_a plat_n or_o wall_n howsoever_o it_o stand_v or_o be_v place_v either_o decline_a recline_a or_o incline_v but_o by_o the_o help_n of_o this_o book_n you_o may_v draw_v a_o dial_n upon_o it_o if_o any_o man_n complain_v of_o obscurity_n he_o must_v know_v that_o difficilia_fw-la quae_fw-la pulchra_fw-la and_o yet_o small_a pain_n overcom_v all_o the_o make_n of_o the_o horologicall_a cylindre_n and_o the_o ring_n with_o some_o other_o instrument_n we_o have_v present_o omit_v partly_o for_o their_o curiosity_n in_o cut_v and_o delineation_n and_o partly_o because_o if_o occasion_n serve_v we_o will_v entreat_v of_o these_o kind_n of_o horologicall_a instrument_n by_o themselves_o together_o with_o the_o make_n of_o all_o kind_n of_o plain_a dial_n in_o this_o book_n prescribe_v by_o the_o way_n of_o geometrical_a proportion_n in_o the_o mean_a while_n gentle_a reader_n commit_v this_o book_n to_o thy_o favourable_a acceptation_n and_o thyself_o to_o the_o protection_n of_o the_o almighty_a i_o end_v tho._n fale_n to_o my_o love_a kinsman_n thomas_n osborne_n this_o book_n which_o seven_o year_n since_o be_v in_o a_o manner_n perfect_v as_o you_o know_v do_v now_o upon_o just_a occasion_n present_v itself_o to_o the_o view_n of_o the_o world_n wherein_o you_o have_v take_v such_o pain_n for_o the_o trial_n of_o each_o example_n that_o i_o think_v none_o can_v find_v any_o great_a fault_n but_o such_o as_o can_v see_v far_o into_o other_o man_n fault_n and_o forget_v their_o own_o for_o after_o we_o find_v some_o precept_n in_o witekindus_n to_o be_v false_a we_o be_v enforce_v to_o try_v and_o examine_v with_o great_a care_n each_o figure_n and_o example_n in_o the_o sun_n and_o therefore_o if_o any_o receive_v benefit_n by_o this_o our_o travel_n i_o will_v you_o shall_v have_v your_o due_a praise_n you_o deserve_v i_o have_v alter_v some_o few_o thing_n and_o add_v the_o make_n of_o the_o south_n and_o north_n erect_v decline_a dial_n by_o the_o way_n of_o geometrical_a proportion_n because_o those_o kind_n be_v most_o in_o use_n and_o i_o will_v the_o learner_n shall_v have_v his_o choice_n of_o the_o easy_a way_n the_o grave_a of_o the_o figure_n be_v one_o m._n jod._n hondius_n who_o have_v show_v himself_o a_o excellent_a workman_n in_o the_o great_a globe_n set_v forth_o by_o m._n mullineux_n and_o the_o map_n of_o england_n for_o m._n camden_n book_n and_o whether_o he_o have_v perform_v like_o diligence_n in_o these_o i_o refer_v it_o to_o yourself_o to_o judge_v if_o any_o be_v desirous_a to_o have_v the_o instrument_n mention_v in_o the_o begin_n of_o this_o book_n for_o the_o trial_n of_o plait_n i_o hope_v you_o will_v help_v they_o to_o it_o for_o be_v of_o your_o own_o invention_n i_o know_v none_o so_o fit_a as_o yourself_o to_o make_v it_o on_o which_o instrument_n also_o it_o be_v convenient_a to_o draw_v the_o quadrant_n horologicall_a that_o so_o it_o may_v serve_v for_o diverse_a use_n i_o trust_v you_o will_v not_o be_v offend_v in_o that_o i_o leave_v under_o our_o name_n this_o small_a monument_n unto_o the_o world_n as_o a_o speak_a witness_n of_o our_o thankful_a heart_n to_o this_o our_o country_n and_o a_o testimony_n of_o our_o affection_n towards_o the_o art_n mathematical_a thus_o beseech_v the_o lord_n who_o have_v endue_v you_o with_o extraordinary_a knowledge_n in_o all_o manuel_n science_n to_o finish_v that_o good_a work_n of_o his_o heavenly_a grace_n already_o begin_v in_o you_o to_o his_o glory_n and_o your_o own_o comfort_n i_o take_v my_o leave_n commend_v i_o many_o time_n to_o yourself_o &_o all_o our_o good_a friend_n from_o london_n january_n 3._o 1593._o you_o assure_o t._n f._n advertisement_n to_o the_o reader_n note_v always_o that_o in_o every_o dial_n the_o one_o end_n of_o the_o style_n must_v be_v place_v direct_o towards_o the_o north_n pole_n and_o the_o other_o end_n towards_o the_o south_n pole_n for_o about_o these_o two_o star_n the_o whole_a heaven_n be_v move_v they_o remain_v immovable_a the_o north_n pole_n be_v a_o star_n in_o the_o north_n part_n of_o the_o heaven_n be_v raise_v above_o the_o earth_n or_o our_o horizon_n 52._o degree_n and_o this_o change_v his_o height_n if_o you_o go_v northward_o or_o southward_o one_o degree_n in_o 60_o mile_n but_o estward_o or_o westward_o it_o alter_v not_o the_o elevation_n of_o the_o pole_n be_v the_o height_n of_o this_o star_n above_o the_o earth_n observe_v also_o that_o the_o substile_n be_v the_o line_n or_o place_n over_o which_o the_o style_n or_o gnomon_n in_o your_o dial_n direct_o hang_v the_o space_n between_o the_o style_n and_o substile_n be_v the_o just_a height_n thereof_o one_o line_n cut_v another_o squirewise_a when_o they_o make_v right_a and_o equal_a angle_n the_o contingent_a or_o touch_v line_n be_v that_o which_o be_v draw_v by_o any_o point_n of_o another_o line_n or_o circle_n so_o that_o it_o touch_v the_o same_o and_o this_o line_n common_o in_o all_o dial_n be_v draw_v squirewise_a to_o the_o substile_a a_o quadrant_a be_v the_o four_o part_n of_o a_o circle_n the_o meridian_n and_o twelve_o a_o clock_n line_n be_v all_o one_o i_o call_v these_o line_n parallel_v which_o be_v every_o where_n of_o like_a distance_n one_o from_o another_o example_n whereof_o you_o may_v see_v in_o the_o est_fw-la and_o west_n dial_n where_o all_o the_o hour_n line_n be_v parallel_v you_o may_v make_v all_o kind_n of_o plain_a dial_n upon_o one_o stone_n if_o you_o prepare_v it_o first_o to_o be_v square_a like_o a_o dye_n and_o then_o take_v off_o the_o eight_o corner_n and_o all_o the_o sharp_a side_n so_o shall_v you_o have_v 25._o plain_a plait_n beside_o the_o base_a or_o foot_n whereon_o your_o dial_n must_v stand_v if_o any_o be_v desirous_a to_o have_v this_o instrument_n ready_o make_v let_v he_o inquire_v at_o the_o printer_n and_o he_o shall_v hear_v of_o they_o the_o make_n of_o a_o instrument_n to_o find_v out_o the_o situation_n of_o any_o plat_n or_o dial_n and_o to_o place_v they_o already_o prepare_v cap._n i._n for_o much_o as_o it_o be_v necessary_a before_o you_o can_v draw_v my_o dial_n to_o know_v how_o your_o plat_n be_v already_o or_o aught_o afterward_o to_o be_v place_v it_o be_v expedient_a to_o show_v the_o make_n and_o use_v of_o a_o instrument_n whereby_o you_o may_v examine_v and_o try_v all_o plain_a plait_n and_o place_n all_o dial_n be_v ready_o make_v and_o prepare_v provide_v therefore_o a_o half_a circle_n of_o peare-trée_n walnut-trée_n borachia_n or_o any_o other_o close_o grain_v and_o solid_a wood_n be_v well_o season_v so_o that_o the_o alteration_n of_o the_o weather_n at_o any_o time_n may_v not_o make_v it_o change_v from_o the_o first_o proportion_n the_fw-mi of_o let_v it_o be_v perfect_o try_v on_o both_o side_n of_o a_o even_a thickness_n half_a or_o three_o quarter_n of_o a_o inch_n thick_a or_o more_o if_o you_o will_v and_o sir_n or_o eight_o inch_n broad_a as_o you_o think_v good_a the_o edge_n or_o side_n a._n b._n must_v be_v very_o right_a then_o draw_v the_o line_n c._n d._n three_o quarter_n of_o a_o inch_n equal_o distant_a from_o the_o side_n a._n b._n place_n one_o foot_n of_o your_o compass_n in_o the_o centre_n e._n which_o be_v the_o midst_n of_o the_o line_n c._n d._n and_o with_o the_o other_o draw_v half_a a_o circle_n from_o c._n to_o a._n divide_v it_o into_o two_o equal_a part_n or_o quadrant_n and_o lay_v your_o ruler_n upon_o the_o centre_n e._n and_o upon_o this_o division_n draw_v the_o line_n e._n f._n this_o do_v divide_v each_o of_o these_o quadrant_n into_o 90._o equal_a degree_n or_o part_n which_o you_o may_v thus_o do_v first_o divide_v each_o of_o they_o into_o three_o equal_a part_n and_o every_o of_o these_o into_o three_o other_o part_n so_o shall_v you_o have_v 9_o division_n in_o either_o quadrant_a whereof_o every_o one_o shall_v represent_v ten_o degree_n again_o part_v every_o one_o of_o these_o into_o two_o and_o each_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 ♈_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
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 number_n the_o line_n c._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_a in_o what_o point_n you_o will_n finish_v all_o other_o thing_n as_o in_o the_o first_o of_o these_o three_o kind_n of_o south_n recline_v decline_a dial_n in_o this_o kind_n of_o recline_a dial_n who_o style_n must_v be_v place_v from_o the_o centre_n c._n upward_o towards_o the_o pole_n arctic_a if_o at_o any_o time_n you_o can_v draw_v to_o both_o end_n of_o the_o contingent_a line_n so_o many_o hour_n line_n as_o shall_v be_v necessary_a then_o prolong_v beyond_o the_o centre_n c._n the_o line_n opposite_a on_o the_o other_o side_n as_o if_o you_o will_v make_v the_o 8._o hour_n line_n for_o the_o morning_n draw_v the_o 8._o for_o the_o evening_n beyond_o the_o centre_n c._n and_o you_o shall_v have_v your_o desire_n note_v that_o moreover_o in_o this_o kind_a contrary_n to_o the_o other_o before_o if_o the_o plat_n decline_v towards_o the_o west_n as_o in_o this_o example_n it_o do_v they_o draw_v the_o quadrant_a towards_o the_o west_n etc._n etc._n but_o if_o the_o declination_n be_v towards_o the_o east_n make_v the_o quadrant_a towards_o the_o east_n a_o south_n recline_v decline_a the_o make_n of_o a_o north_n recline_v decline_a dial_n cap._n 15._o the_o first_o kind_n in_o this_o kind_n as_o in_o the_o south_n before_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 reclination_n part_v the_o product_n by_o the_o whole_a sine_fw-la the_o quotient_a sine_fw-la thereof_o shall_v yield_v a_o ark_n who_o complement_n shall_v be_v call_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 divide_v the_o product_n by_o the_o sine_fw-la of_o the_o complement_n repeat_v the_o quotient_a sine_fw-la thereof_o will_v give_v a_o ark_n which_o shall_v be_v the_o distance_n of_o the_o meridian_n from_o the_o horizon_n the_o same_o quotient_a sine_fw-la multiply_v by_o the_o sine_fw-la of_o the_o complement_n of_o the_o reclination_n and_o the_o number_n arise_v part_n by_o the_o whole_a sine_fw-la the_o ark_n of_o this_o quotient_n be_v the_o elevation_n of_o the_o meridian_n now_o add_v the_o elevation_n of_o the_o pole_n to_o the_o elevation_n of_o the_o meridian_n and_o the_o total_a number_n or_o ark_n hereof_o we_o will_v call_v the_o compound_a ark_n and_o if_o the_o compound_a ark_n be_v less_o than_o 90._o degree_n then_o multiply_v the_o sine_fw-la thereof_o by_o the_o sine_fw-la of_o the_o complement_n repeat_v divide_v the_o product_n by_o the_o whole_a sine_fw-la and_o hereof_o shall_v arise_v a_o quotient_a sine_fw-la who_o ark_n be_v the_o distance_n of_o the_o style_n from_o the_o substile_a now_o compare_v
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 divide_v the_o product_n by_o the_o whole_a sine_fw-la the_o quotient_a ark_n shall_v be_v the_o distance_n of_o the_o style_n from_o the_o substile_a then_o 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 increase_v the_o sine_fw-la of_o the_o lesser_a 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 where_o of_o shall_v come_v a_o sine_fw-la the_o complement_n of_o who_o ark_n be_v the_o distance_n of_o the_o substile_a from_o the_o meridian_n it_o shall_v not_o be_v necessary_a to_o show_v any_o example_n hereof_o because_o the_o east_n and_o west_n recline_v be_v altogether_o like_a to_o this_o wherefore_o resort_n thither_o for_o the_o work_n of_o your_o example_n for_o those_o distance_n in_o draw_v this_o figure_n shall_v be_v here_o observe_v the_o delineation_n of_o a_o east_n dial_n incline_v 45._o d_o first_o draw_v a_o line_n parallel_n to_o the_o horizon_n 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 complement_n repeat_v by_o the_o sine_fw-la of_o the_o doubtful_a ark_n &_o the_o product_n arise_v thereof_o be_v divide_v by_o the_o whole_a sine_fw-la the_o quotient_a ark_n shall_v be_v 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 with_o the_o complement_n of_o the_o doutful_a ark_n multiply_v the_o sine_fw-la of_o the_o lesser_a by_o the_o whole_a sine_fw-la divide_v the_o product_n by_o the_o sine_fw-la of_o the_o great_a the_o ark_n of_o the_o quotient_a sine_fw-la come_v thereof_o shall_v be_v the_o distance_n of_o the_o substile_a from_o the_o meridian_n but_o note_n if_o the_o doubtful_a ark_n be_v find_v without_o subtraction_n from_o 180_o which_o be_v if_o it_o be_v less_o than_o 90_o d._n than_o you_o must_v subtract_v the_o distance_n of_o the_o substile_a from_o the_o meridian_n out_o of_o 180_o and_o the_o number_n remain_v shall_v be_v the_o true_a distance_n of_o the_o meridian_n from_o the_o 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 the_o former_a part_n of_o this_o example_n until_o i_o come_v to_o the_o find_v out_o of_o the_o distance_n of_o the_o substile_a from_o the_o meridian_n the_o former_a part_n of_o this_o example_n you_o may_v find_v to_o be_v thus_o wrought_v in_o the_o north_n recline_v decline_a 1_o first_o the_o complement_n repeat_v 60_o d_o 2_o then_o the_o distance_n of_o the_o meridian_n from_o the_o horizon_n 54_o d._n 44_o d_o 3_o next_o the_o elevation_n of_o the_o meridian_n 35_o d._n 16_o m_o 4_o the_o compound_a ark_n there_o which_o we_o call_v the_o doubtful_a ark_n here_o 87_o d._n 16_o m_o 5_o the_o distance_n of_o the_o style_n from_o the_o substile_a 59_o d._n 54_o m_o 6_o last_o the_o distance_n of_o the_o substile_a from_o the_o meridian_n 84_o d._n 33_o m_o but_o here_o as_o before_o be_v teach_v you_o must_v subtract_v this_o distance_n from_o 180_o d._n because_o the_o doubtful_a ark_n be_v less_o than_o 90_o d._n and_o then_o the_o remainder_n 95_o d._n 27_o m._n shall_v be_v 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 line_n e._n c._n for_o the_o substile_a from_o this_o line_n on_o which_o side_n you_o will_v number_n the_o distance_n of_o the_o style_n from_o the_o substile_a be_v 59_o d._n 54_o m._n draw_v by_o this_o the_o line_n g._n represent_v the_o style_n let_v the_o line_n of_o contingence_n cut_v the_o substile_a squirewise_a in_o any_o point_n where_o you_o will_n make_v the_o equator_fw-la begin_v the_o division_n thereof_o and_o draw_v the_o hour_n line_n in_o all_o respect_v as_o in_o the_o north_n recline_v 21_o degree_n 30_o minute_n decline_v 30_o degree_n cap._n 15._o a_o south_n decline_v incline_v dial_n the_o second_o example_n of_o a_o south_n dial_n incline_v 33._o d._n 40._o m._n where_o the_o doubtful_a ark_n be_v subtract_v from_o 180._o decline_a 31._o d._n where_o the_o doubtful_a ark_n be_v subtract_v from_o 180._o first_o 51503_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 ♋_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 ♑_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 thread_n shall_v touch_v the_o dial_n make_v a_o mark_n then_o move_v the_o trigonal_a on_o the_o right_a hand_n so_o that_o the_o thread_n may_v be_v stretch_v on_o the_o left_a hand_n make_v there_o likewise_o a_o prick_n upon_o the_o plat_n when_o you_o have_v thus_o do_v 4_o or_o 5_o time_n upon_o the_o one_o side_n of_o the_o dial_n that_o be_v on_o the_o left_a hand_n do_v so_o likewise_o on_o the_o other_o side_n on_o the_o right_a hand_n these_o mark_n be_v thus_o make_v draw_v with_o your_o compass_n or_o rather_o with_o a_o crooked_a ruler_n make_v according_a to_o those_o mark_n a_o line_n by_o they_o do_v thus_o with_o each_o one_o of_o the_o 7_o line_n of_o your_o trigonal_a when_o you_o have_v draw_v all_o these_o line_n be_v crooked_a except_o the_o middle_a line_n which_o be_v right_a and_o represent_v the_o equator_fw-la then_o at_o the_o end_n of_o they_o write_v the_o character_n of_o the_o 12_o sign_n on_o this_o wise_a first_o on_o the_o right_a hand_n towards_o the_o east_n at_o the_o end_n of_o the_o upper_a line_n write_v or_o place_n ♑_o at_o the_o second_o line_n downward_z â™’_o at_o the_o third_n ♓_o at_o the_o four_o ♈_o at_o the_o five_o ♉_o at_o the_o sixth_o ♊_o at_o the_o seven_o ♋_o then_o on_o the_o other_o side_n on_o the_o left_a hand_n towards_o the_o west_n at_o the_o end_n of_o the_o nethermost_a line_n place_n ♋_o at_o the_o second_n ♌_o at_o the_o third_n â™_o at_o the_o four_o ♎_o at_o the_o five_o â™_o at_o the_o sixth_o â™_o and_o final_o again_o at_o the_o uppermost_a set_v ♑_o this_o do_v remember_v that_o in_o what_o place_n of_o the_o style_n the_o centre_n a._n of_o your_o trigonall_a be_v place_v there_o fasten_v a_o small_a piece_n of_o iron_n or_o any_o such_o like_a thing_n which_o may_v show_v with_o the_o shadow_n thereof_o the_o sign_n which_o the_o sun_n shall_v be_v in_o at_o any_o time_n unless_o the_o hour_n line_n be_v so_o short_a that_o where_o the_o small_a piece_n of_o iron_n shall_v be_v place_v you_o may_v cut_v the_o style_n that_o the_o end_n thereof_o shall_v show_v it_o but_o the_o first_o be_v the_o most_o convenient_a way_n for_o the_o use_n thereof_o you_o may_v in_o like_a manner_n with_o this_o instrument_n draw_v or_o place_v the_o 12_o sign_n in_o horizontal_n east_n west_n and_o all_o other_o kind_n of_o dial_n which_o before_o be_v recite_v because_o the_o difference_n be_v nothing_o but_o in_o place_v the_o 12_o sign_n at_o the_o end_n of_o the_o line_n the_o true_a do_v where_o of_o you_o may_v easy_o perceive_v by_o the_o course_n of_o the_o sun_n for_o in_o the_o south_n erect_v when_o the_o sun_n occupi_v cancer_n then_o be_v the_o line_n of_o ♋_o further_a distant_a from_o the_o centre_n of_o the_o dial_n but_o in_o the_o horizontall_a dial_n the_o line_n of_o ♋_o be_v next_o to_o the_o centre_n few_o word_n shall_v suffice_v for_o this_o matter_n experience_n shall_v easy_o teach_v you_o herein_o how_o to_o place_v the_o unequal_a hour_n in_o a_o horizontall_a dial_n cap._n 23._o first_o you_o shall_v understand_v that_o by_o a_o unequal_a hour_n be_v mean_v the_o 12_o part_n of_o the_o day_n whether_o it_o be_v short_a or_o long_o for_o when_o the_o sun_n be_v in_o the_o equinoctial_a circle_n the_o day_n have_v 12_o equal_a and_o like_o wise_a 12_o unequal_a hour_n but_o in_o winter_n solstice_n when_o the_o day_n be_v at_o the_o short_a and_o contain_v with_o we_o where_o the_o pole_n be_v elevate_v above_o the_o horizon_n 52_o degree_n only_a 7_o hour_n 36_o minute_n then_o the_o unequal_a hour_n be_v less_o for_o if_o you_o divide_v these_o 7_o hour_n 36_o minute_n by_o fraction_n into_o 12_o you_o shall_v find_v only_o 38_o minute_n of_o a_o equal_a hour_n to_o make_v one_o unequal_a hour_n but_o in_o the_o summer_n solstice_n when_o the_o day_n be_v at_o the_o long_a and_o have_v 16_o hour_n 24_o minute_n then_o one_o hour_n with_o 24_o minute_n make_v one_o hour_n unequal_a these_o be_v like_o wise_a call_v the_o hour_n of_o the_o planet_n and_o be_v place_v in_o diall_n on_o this_o manner_n your_o dial_n be_v make_v and_o prepare_v draw_v upon_o it_o the_o 12_o sign_n of_o the_o zodiac_n as_o you_o be_v teach_v before_o so_o large_a as_o your_o plat_n will_v give_v leave_n etc._n etc._n note_v that_o always_o the_o meridian_n line_n or_o 12_o equal_a hour_n be_v the_o 6_o unequal_a hour_n mark_v likewise_o that_o when_o the_o sun_n enter_v into_o the_o beginning_n of_o ♈_o and_o ♎_o both_o the_o equal_a and_o the_o unequal_a hour_n be_v of_o like_a quantity_n for_o the_o 7_o equal_a hour_n in_o the_o morning_n be_v the_o first_o unequal_a and_o the_o
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 then_o divide_v the_o quadrant_a a._n e._n into_o 90._o d._n and_o account_v therein_o the_o elevation_n of_o the_o pole_n from_o e._n towards_o a._n make_v you_o â—_o point_fw-fr f._n by_o which_o the_o ark_n line_n of_o ♈_o and_o ♎_o represent_v the_o equinoctial_a circle_n shall_v be_v draw_v afterward_o seek_v out_o the_o great_a declination_n of_o the_o sun_n from_o the_o equator_fw-la which_o you_o shall_v find_v in_o the_o table_n of_o the_o declination_n of_o the_o sun_n which_o be_v 23._o d._n 30._o m._n then_o account_v 23._o d._n 30._o m._n from_o f._n towards_o e._n make_v there_o a_o mark_n for_o the_o ark_n of_o cancer_n likewise_o from_o f._n towards_o a._n number_n the_o same_o distance_n for_o the_o ark_n line_n of_o capricorn_n this_o do_v account_n from_o f._n towards_o e._n 20._o d._n 12._o m._n make_v there_o also_o a_o mark_n for_o the_o line_n of_o ♊_o and_o ♌_o and_o the_o like_a space_n from_o f._n towards_o a._n for_o the_o ark_n of_o â™’_o and_o â™_o to_o 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 â—ine_z of_o ♉_o and_o â™_o and_o so_o much_o from_o f._n towards_o a._n for_n ♓_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 ♈_o and_o ♎_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 line_n from_o one_o side_n of_o the_o plat_n to_o the_o other_o by_o every_o mark_n before_o make_v for_o the_o 12._o sign_n of_o the_o zodiac_n the_o 12._o sign_n be_v thus_o finish_v proceed_v to_o the_o division_n of_o the_o equal_a hour_n on_o this_o manner_n divide_v y_fw-fr â—_o ark_n of_o the_o equator_fw-la into_o 12._o equal_a part_n begin_v at_o d._n by_o f._n end_v in_o c._n then_o open_a your_o compass_n to_o the_o quadrant_a of_o the_o plat_n and_o the_o same_o wideness_n of_o they_o remain_v place_n one_o foot_n on_o the_o first_o point_n of_o the_o division_n next_o c._n in_o the_o equator_fw-la and_o if_o you_o have_v divide_v the_o equator_fw-la equal_o the_o other_o foot_n will_v touch_v the_o first_o part_n beyond_o f._n towards_o d._n by_o which_o from_o the_o centre_n g_o to_o the_o edge_n of_o the_o plat_n draw_v a_o line_n which_o shall_v show_v the_o first_o hour_n afternoon_n this_o do_v remove_v your_o compass_n that_o wideness_n remain_v place_n one_o foot_n in_o the_o second_o part_n from_o c._n towards_o f._n and_o the_o other_o foot_n touch_v the_o second_o part_n from_o f_o towards_o d._n make_v a_o line_n as_o before_o from_o the_o centre_n g._n to_o the_o brim_n of_o the_o plat_n to_o show_v the_o 2._o hour_n afternoon_n in_o like_a manner_n finish_v all_o the_o other_o hour_n line_n namely_o the_o 3_o 4_o 5_o 6_o 7_o 8_o for_o the_o afternoon_n then_o do_v likewise_o on_o the_o other_o side_n for_o the_o hour_n in_o the_o forenoon_n namely_o the_o 11_o 10_o 9_o 8_o 7_o 6_o 5_o and_z 4_o draw_v line_n from_o the_o centre_n g._n by_o every_o division_n to_o the_o brim_n of_o the_o plat_n etc._n etc._n the_o place_n of_o the_o unequal_a hour_n in_o this_o dial_n when_o you_o will_v place_v the_o hour_n unequal_a in_o this_o spherical_a dial_n divide_v the_o tropic_a of_o cancer_n and_o of_o capricorn_n each_o of_o they_o into_o 12._o equal_a part_n as_o before_o you_o do_v the_o equator_fw-la for_o the_o equal_a hour_n then_o with_o 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