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end_n line_n perpendicular_a straight_a 1,765 5 14.0990 5 true
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ID Title Author Corrected Date of Publication (TCP Date of Publication) STC Words Pages
A35744 Mr. De Sargues Universal way of dyaling, or, Plain and easie directions for placing the axeltree and marking the hours in sun-dyals, after the French, Italian, Babylonian, and Jewish manner together with the manner of drawing the lines of the signs, of finding out the height of the sun above the horizon, and the east-rising of the same, the elevation of the pole, and the position of the meridian ... / [edited] by Daniel King, Gent.; Maniére universelle pour poser l'essieu. English Desargues, Gérard, 1591-1661.; King, Daniel, d. 1664?; Bosse, Abraham, 1602-1676. 1659 (1659) Wing D1127; ESTC R17188 51,911 119

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to_o the_o same_o point_n i_o of_o the_o high_a figure_n then_o open_v your_o compass_n upon_o the_o point_n b_o and_o i_o of_o the_o high_a figure_n and_o bring_v down_o this_o space_n upon_o the_o axletree_n rod_n and_o make_v in_o the_o same_o as_o you_o see_v two_o point_n b_o and_o i_o with_o this_o same_o space_n by_o of_o the_o figure_n above_o 10_o 11_o figure_n 11_o to_o the_o workman_n of_o many_o sort_n of_o art_n go_v to_o the_o place_n of_o the_o dial_n below_o which_o i_o have_v express_v again_o a_o purpose_n to_o avoid_v the_o confusion_n of_o line_n and_o put_v the_o end_n of_o the_o rod_n ci_o to_o the_o point_n of_o shadow_n c_o the_o end_n fletcher_o of_o the_o rod_n fi_o to_o the_o point_n of_o shadow_n fletcher_o and_o the_o end_n d_o of_o the_o rod_n di_z to_o the_o point_n of_o shadow_n d_o and_o set_v the_o point_n b_o of_o the_o axletree_n rod_n to_o the_o point_n b_o of_o the_o pin_n ab_o then_o bring_v together_o into_o one_o point_n in_o the_o air_n i_o the_o three_o other_o end_n of_o the_o three_o rod_n ci_o di_o fi_o for_o they_o must_v come_v in_o there_o together_o and_o bring_v the_o point_n i_o of_o the_o axletree_n rod_n to_o the_o same_o point_n i_o in_o the_o air_n together_o with_o the_o three_o other_o end_n of_o the_o rod_n i_o for_o these_o four_o thing_n must_v come_v altogether_o into_o one_o and_o the_o same_o point_n in_o the_o air_n i_o if_o so_o be_v you_o have_v be_v exact_a in_o work_v and_o when_o these_o three_o end_n of_o the_o rod_n and_o the_o point_n i_o of_o the_o axletree_n rod_n be_v all_o four_o gather_v together_o into_o one_o and_o the_o same_o point_n in_o the_o air_n i_o the_o axletree_n rod_n will_v come_v to_o be_v place_v direct_o as_o it_o must_v be_v in_o the_o dial_n and_o so_o you_o need_v no_o more_o but_o to_o make_v it_o fast_o in_o that_o place_n or_o to_o fasten_v a_o other_o either_o near_o it_o or_o far_o from_o it_o that_o may_v be_v even_o with_o it_o or_o parallel_n to_o or_o equal_o distant_a from_o it_o if_o the_o four_o point_n i_o shall_v go_v and_o meet_v in_o the_o body_n of_o the_o dial_n you_o must_v but_o take_v in_o its_o figure_n the_o point_n i_o near_o or_o in_o the_o other_o side_n of_o the_o point_n b_o and_o make_v a_o end_n of_o the_o rest_n as_o i_o have_v say_v 8_o figure_n 8_o i_o will_v say_v the_o same_o thing_n over_o again_o but_o more_o at_o large_a to_o
from_o the_o point_n o_o two_o other_o circle_n that_o may_v meet_v in_o two_o point_n with_o the_o two_o circle_n that_o you_o have_v draw_v about_o the_o point_n d_o and_o as_o for_o example_n in_o the_o two_o point_n q_o and_o p_o and_o draw_v with_o the_o rule_n by_o these_o two_o point_n as_o q_o and_o p_o a_o long_a straight_a line_n qp_o that_o must_v reach_v to_o the_o point_n o_o if_o you_o have_v be_v very_o exact_a in_o the_o work_n if_o it_o do_v not_o reach_v to_o it_o you_o have_v not_o be_v very_o exact_a and_o i_o advise_v you_o to_o begin_v it_o again_o if_o it_o reach_v to_o it_o go_v back_o to_o the_o figure_n below_o and_o take_v with_o the_o compass_n the_o distance_n between_o b_o and_o d_o then_o with_o this_o space_n go_v to_o the_o figure_n below_o set_v one_o foot_n of_o the_o compass_n upon_o the_o point_n d_o and_o turn_v it_o about_o draw_v with_o the_o other_o foot_n from_o the_o point_n o_o a_o circle_n that_o may_v meet_v the_o line_n qop_o as_o for_o 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straight_a line_n poq_fw-la mark_v this_o point_n b_o in_o the_o line_n poq_fw-la whether_o you_o find_v it_o unite_v with_o the_o point_n o_o and_o so_o both_o of_o they_o make_v but_o one_o and_o the_o same_o point_n as_o it_o fall_v out_o when_o the_o day_n and_o night_n be_v equal_a or_o whether_o you_o find_v it_o divide_v from_o the_o point_n o_o as_o it_o fall_v out_o in_o other_o season_n and_o as_o you_o see_v in_o this_o example_n then_o draw_v with_o the_o rule_n by_o these_o two_o point_n b_o and_o d_o a_o straight_a line_n bd_o which_o you_o shall_v stretch_v out_o sufficient_o beyond_o the_o point_n d._n when_o the_o day_n and_o night_n be_v equal_a as_o in_o autumn_n and_o in_o the_o spring_n and_o that_o the_o point_n b_o be_v find_v to_o be_v unite_v with_o the_o point_n o_o the_o line_n bd_o come_v likewise_o to_o be_v unite_v with_o the_o line_n odd_a and_o both_o together_o make_v but_o one_o line_n but_o at_o any_o other_o time_n as_o the_o two_o point_n b_o and_o o_o be_v two_o several_a point_n and_o divide_a one_o from_o the_o other_o so_o the_o two_o line_n bd_o and_o odd_a be_v two_o several_a line_n and_o divide_v one_o from_o the_o other_o this_o be_v do_v go_v to_o the_o figure_n above_o mea●ure_n with_o your_o compass_n the_o space_n from_o b_o to_o c_o and_o with_o this_o space_n go_v to_o the_o figure_n below_o set_v one_o foot_n of_o the_o compass_n upon_o the_o line_n bd_o to_o the_o point_n b_o and_o set_v the_o other_o foot_n in_o any_o place_n of_o the_o same_o line_n bd_o where_o it_o may_v light_v upon_o as_o for_o example_n in_o the_o point_n c_o by_o this_o mean_n you_o shall_v make_v the_o portion_n bc_o of_o the_o line_n bd_o of_o the_o low_a figure_n equal_a with_o the_o portion_n bc_o of_o the_o line_n bd_o of_o the_o high_a figure_n make_v after_o the_o same_o manner_n with_o the_o compass_n the_o portion_n bf_o of_o the_o line_n bd_o of_o the_o low_a figure_n equal_a to_o the_o portion_n bf_o of_o the_o line_n bd_o of_o the_o figure_n above_o final_o in_o the_o same_o figure_n below_o and_o in_o the_o line_n qop_o mark_v at_o your_o discretion_n another_o point_n i_o of_o one_o side_n or_o other_o of_o the_o point_n b_o according_a as_o you_o shall_v find_v it_o most_o convenient_a for_o the_o place_n of_o the_o dial_n and_o as_o far_o from_o this_o point_n b_o as_o occasion_n will_v permit_v the_o further_a the_o better_o and_o so_o you_o have_v find_v the_o four_o space_n that_o you_o want_v for_o the_o perfect_a place_n of_o the_o axletree_n of_o your_o dial_n for_o in_o so_o do_v you_o have_v find_v in_o this_o figure_n below_o the_o distance_n that_o be_v from_o every_o one_o of_o the_o four_o point_n bdf_n c_o to_o one_o and_o the_o same_o point_n i_o that_o be_v to_o say_v the_o space_n from_o b_o to_o i_o the_o space_n from_o d_o to_o i_o the_o space_n from_o fletcher_o to_o i_o and_o the_o space_n from_o c_o to_o i_o which_o distance_n by_o di_o fi_o and_o ci_o will_v serve_v you_o to_o place_v the_o axletree_n of_o the_o dial_n in_o the_o manner_n follow_v figure_n 10_o to_o all_o sort_n of_o people_n cut_v as_o you_o see_v in_o the_o low_a figure_n three_o stick_n sharp_a it_o both_o end_n one_o ci_o of_o the_o length_n of_o the_o point_n c_o to_o the_o point_n i_o otherwise_o of_o the_o space_n ci_o of_o the_o figure_n above_o the_o other_o fi_o of_o the_o length_n of_o the_o space_n fi_o of_o the_o high_a figure_n and_o take_v with_o your_o compass_n the_o space_n by_o of_o the_o figure_n above_o and_o be_v so_o open_a see_v both_o foot_n at_o once_o upon_o a_o straight_a line_n along_o the_o axletree_n rod_n of_o the_o low_a figure_n for_o example_n in_o two_o point_n as_o b_o and_o i_o and_o mark_v these_o two_o point_n b_o i_o in_o the_o axletree_n rod_n 10_o 11_o figure_n 11_o to_o all_o sort_n of_o people_n that_o be_v do_v go_v to_o the_o place_n of_o the_o dial_n the_o which_o to_o avoid_v the_o confusion_n or_o multiplicity_n of_o line_n i_o have_v set_v below_o in_o the_o low_a figure_n set_v in_o this_o low_a figure_n one_o of_o the_o end_n of_o the_o stick_n ci_o to_o the_o point_n of_o shadow_n c_o one_o of_o the_o end_n f_o of_o the_o stick_n fi_o to_o the_o point_n of_o shadow_n fletcher_o and_o one_o of_o the_o end_n d_o of_o the_o stick_n di_z to_o the_o point_n of_o shadow_n d_o and_o one_o of_o the_o point_n b_o of_o the_o axletree_n rod_n set_v it_o to_o the_o point_n b_o of_o the_o pin_n ab_o and_o hold_v thus_o the_o three_o end_n cdf_o of_o the_o three_o stick_n to_o the_o point_n of_o shadow_n cdf_o every_o one_o respective_o to_o his_o own_o and_o the_o point_n b_o of_o the_o axletree_n rod_n to_o the_o point_n of_o the_o pin_n b_o bring_v together_o the_o three_o other_o end_n i_o of_o the_o three_o stick_n or_o rod_n ci_o di_o fi_o into_o one_o point_n in_o the_o air_n i_o for_o they_o must_v meet_v there_o then_o bring_v the_o point_n i_o of_o the_o axletree_n rod_n also_o to_o the_o point_n in_o the_o air_n i_o with_o the_o three_o end_n i_o of_o the_o stick_n for_o it_o must_v come_v and_o meet_v there_o exact_o if_o you_o have_v do_v right_a or_o if_o the_o straightness_n of_o the_o place_n have_v not_o hinder_v you_o if_o the_o straightness_n of_o the_o place_n of_o the_o dial_n hinder_v the_o three_o end_n i_o of_o the_o stick_n from_o meet_v together_o in_o one_o point_n in_o the_o air_n i_o take_v the_o point_n i_o in_o the_o figure_n below_o in_o
your_o dial_n be_v the_o shadow_n of_o the_o pin_n come_v to_o be_v of_o such_o a_o length_n and_o the_o extremity_n or_o end_n thereof_o so_o weaken_v and_o so_o diminish_v in_o strength_n and_o so_o confuse_v in_o the_o superficies_n of_o the_o dial_n that_o it_o be_v very_o hard_a to_o find_v out_o figure_n 13_o to_o all_o sort_n of_o people_n i_o come_v now_o to_o the_o next_o and_o second_o thing_n that_o you_o be_v to_o do_v which_o be_v to_o trace_v out_o the_o line_n of_o the_o hour_n in_o this_o example_n i_o suppose_v that_o the_o axletree_n rod_n do_v not_o meet_v the_o superficies_n of_o the_o dial_n about_o the_o place_n that_o you_o work_v in_o and_o therefore_o i_o represent_v it_o suspend_v in_o the_o air_n with_o two_o or_o three_o supporter_n as_o you_o see_v i_o suppose_v also_o that_o the_o superficies_n of_o the_o dial_n be_v not_o smooth_a but_o rough_a and_o uneven_a as_o i_o have_v say_v when_o you_o have_v place_v the_o rod_n by_o which_o be_v the_o axletree_n of_o the_o dial_n as_o you_o see_v both_o in_o the_o high_a and_o low_a figure_n you_o have_v make_v a_o end_n then_o of_o the_o first_o of_o those_o two_o thing_n that_o you_o be_v to_o do_v for_o the_o make_n of_o your_o dial_n now_o there_o remain_v but_o the_o second_o to_o be_v do_v which_o be_v the_o find_v and_o the_o trace_v out_o of_o the_o line_n of_o the_o hour_n in_o the_o dial_n and_o for_o that_o purpose_n consider_v in_o your_o high_a figure_n that_o the_o superficies_n and_o the_o axletree_n of_o your_o dial_n be_v two_o divers_a thing_n and_o differ_v one_o from_o a_o other_o and_o there_o be_v no_o such_o communication_n from_o the_o one_o to_o the_o other_o as_o that_o with_o they_o alone_o you_o may_v find_v out_o direct_o the_o place_n of_o the_o line_n of_o the_o hour_n without_o make_v use_n of_o a_o three_o thing_n that_o may_v be_v a_o mean_n betwixt_o those_o two_o the_o mean_a and_o the_o least_o thing_n that_o you_o can_v have_v to_o be_v a_o mean_n betwixt_o the_o superficies_n and_o the_o axletree_n of_o the_o dial_n be_v a_o ruler_n 13_o to_o the_o end_n that_o this_o middle_a rule_n may_v serve_v you_o alike_o in_o all_o occasion_n it_o must_v have_v all_o the_o condition_n that_o you_o see_v represent_v in_o the_o figure_n below_o first_o it_o must_v be_v as_o long_o as_o the_o place_n will_v give_v you_o leave_n and_o it_o must_v cross_v over_o if_o need_v be_v the_o whole_a superficies_n of_o the_o dial_n and_o reach_v over_o on_o both_o side_n if_o it_o be_v possible_a second_o it_o must_v be_v in_o the_o air_n and_o suspend_v between_o the_o superficies_n and_o the_o axletree_n of_o the_o dial_n three_o it_o must_v be_v place_v as_o far_o from_o the_o axletree_n rod_n as_o possible_a may_v be_v four_o it_o must_v be_v place_v like_o a_o cross_n in_o regard_n of_o the_o same_o axletree_n rod_n figure_n 14_o to_o all_o sort_n of_o people_n to_o place_n this_o middle_a rule_n well_o and_o as_o it_o ought_v to_o be_v betwixt_o the_o superficies_n and_o the_o axletree_n of_o the_o dial_n choose_v along_o the_o axletree_n rod_n by_o of_o the_o high_a figure_n some_o fit_a or_o convenient_a place_n as_o in_o the_o point_n o_o and_o make_v a_o round_a and_o fix_a stay_n in_o that_o place_n by_o wind_v or_o tie_v some_o strong_a thing_n about_o this_o axletree_n rod_n as_o the_o figure_n do_v show_v tie_v a_o string_n to_o the_o axletree_n rod_n by_o by_o the_o mean_n of_o a_o ring_n that_o may_v be_v so_o big_a that_o you_o may_v turn_v the_o string_n with_o it_o about_o the_o axletree_n rod_n easy_o as_o the_o low_a figure_n show_v you_o then_o with_o the_o corner_n of_o a_o squire_n ed_o in_o the_o low_a figure_n thrust_v on_o the_o ring_n where_o the_o string_n be_v and_o put_v it_o close_o to_o this_o stay_n o_o and_o hold_v the_o string_n fast_o between_o the_o stay_n o_o and_o the_o squire_n ed_o set_v the_o back_n of_o one_o of_o the_o side_n oe_o of_o this_o squire_n length_n to_o the_o 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it_o be_v the_o point_n of_o one_o of_o the_o hour_n of_o 6_o as_o the_o point_n 6_o 〈◊〉_d you_o shall_v go_v on_o in_o find_v out_o the_o point_n of_o the_o other_o hour_n which_o may_v be_v find_v in_o your_o dial_n in_o this_o manner_n follow_v figure_n 17_o to_o all_o sort_n of_o people_n mark_n at_o your_o discretion_n in_o the_o rule_n pq_o two_o several_a point_n mn_o and_o consider_v the_o point_n in_o the_o middle_n of_o the_o body_n of_o the_o axletree_n close_o by_o the_o stay_n o_o that_o be_v the_o point_n about_o which_o you_o have_v turn_v the_o string_n with_o the_o corner_n of_o the_o squire_n you_o see_v there_o three_o several_a point_n unmovable_a and_o fix_v viz._n the_o point_n m_o and_o the_o point_n n_o in_o the_o middle_a rule_n and_o the_o point_n o_o in_o the_o middle_n of_o the_o body_n of_o the_o axletree_n rod_n close_o to_o the_o stay_n and_o so_o have_v those_o three_o point_n fix_v m_o n_o o_o you_o have_v by_o this_o mean_v the_o three_o several_a 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the_o dial_n of_o the_o figure_n below_o upon_o the_o middle_a rule_n mn_o and_o so_o according_o take_v with_o your_o compass_n every_o one_o of_o the_o other_o space_n 5_o 4_o 4_o 3_o 3_o 2_o 2_o 1_o 1●_z 12_o 11_o from_o the_o high_a figure_n and_o bring_v they_o in_o this_o manner_n to_o the_o dial_n upon_o the_o middle_a rule_n in_o the_o low_a figure_n and_o so_o you_o have_v do_v in_o this_o middle_a rule_n in_o the_o dial_n of_o the_o low_a figure_n all_o and_o the_o same_o space_n