shall_v here_o begin_v i._o upon_o a_o line_n give_v ab_fw-la to_o erect_v cd_o a_o perpendicular_a if_o there_o be_v a_o point_n as_o c_z give_v in_o ab_fw-la the_o line_n on_o which_o the_o perpendicular_a be_v to_o fall_v mark_v on_o both_o side_n of_o the_o say_a point_n with_o your_o compass_n the_o equidistant_a point_n m_o and_o n_o then_o open_v they_o at_o pleasure_n put_v one_o foot_n on_o m_n and_o describe_v the_o blind_a arch_n of_o and_o put_v the_o other_o foot_n in_o n_o describe_v the_o blind_a arch_n gh_o and_o the_o fair_a line_n from_o d_o their_z intersection_n to_o the_o point_n c_o will_v be_v the_o perpendicular_a require_v now_o if_o you_o have_v no_o point_n assign_v in_o the_o say_a line_n ab_fw-la to_o terminate_v your_o perpendicular_a by_o take_v two_o point_n there_o at_o pleasure_n as_o suppose_v m_n and_o n_o and_o open_v how_o you_o will_v your_o compass_n describe_v the_o blind_a arch_n of_o and_o gh_v above_o your_o line_n and_o open_v and_o qr_n 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describe_v the_o blind_a arch_n gh_o to_o cut_v the_o say_a arch_n of_o and_o if_o you_o draw_v line_n from_o their_o intersection_n at_o c_o to_o a_o and_o b_o on_o the_o aforesaid_a base_a you_o have_v your_o intent_n viii_o to_o describe_v a_o oval_a cross_a rp_n at_o right_a angle_n with_o in_o and_o take_v with_o your_o compass_n on_o the_o say_a line_n from_o the_o intersection_n o_o equal_a distance_n to_o wit_n oa_n ob_fw-la oc_fw-la and_o odd_a and_o draw_v through_o the_o point_n c_o the_o line_n ak_v and_o bh_n each_o equal_a to_o twice_o ac_fw-la as_o also_o throu_fw-fr '_o d_o the_o line_n a_o and_o bl_n each_o equal_a to_o twice_o bc_n than_o a_o and_o b_o being_n centre_n describe_v the_o arch_n kpm_v and_o hlr_n in_o like_a manner_n c_o and_o d_o being_z centre_n describe_v the_o arch_n hik_fw-mi and_o lmn_n and_o the_o figure_n thus_o draw_v will_v be_v a_o perfect_a oval_n sector_n so_o much_o for_o the_o geometrical_a problem_n necessary_a for_o dial_v and_o as_o 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of_o equal_a part_n suppose_v your_o line_n be_v to_o be_v divide_v in_o 23_o equal_a part_n take_v it_o between_o your_o compass_n and_o open_v your_o sector_n place_n one_o foot_n of_o your_o say_a compass_n on_o the_o 23_o division_n of_o the_o sector_n and_o the_o other_o foot_n on_o the_o 23_o over_o against_o it_o and_o the_o distance_n between_o the_o figure_n 1_o and_o 1_o on_o the_o say_a sector_n will_v give_v you_o one_o equal_a division_n of_o your_o line_n and_o the_o distance_n between_o 2_o and_o 2_o will_v give_v you_o two_o equal_a division_n of_o it_o and_o in_o this_o manner_n proceed_v till_o you_o quite_o run_v over_o it_o as_o you_o design_n ii_o to_o find_v the_o proportion_n between_o any_o two_o line_n set_a over_o the_o great_a line_n at_o 100_o and_o 100_o on_o the_o sector_n then_o take_v the_o lesser_a between_o your_o compass_n find_v where_o it_o will_v be_v just_o set_v over_o also_o or_o lie_v parallel_n to_o the_o former_a which_o happen_v suppose_n 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the_o rest_n sch._n 3._o sch._n 4._o sch._n 5._o sch._n 6_o sch._n 10._o sch._n 7._o sch._n 9_o sch._n 8._o sch._n 11._o sch._n 12._o sch._n 13_o sch._n 14._o sch._n 15._o sch._n 16._o sch._n 17_o sch._n 18._o sch._n 19_o sch._n 20._o sch._n 21._o sch._n 22._o sch._n 23._o sch._n 25._o sch._n 26._o sch._n 27_o sch._n 24_o sch._n 28_o sch._n 31_o sch._n 32_o sch._n 33_o sch._n 34_o sch._n 35._o sch._n 36._o sch._n 37._o sch._n 39_o sch._n 38_o sch._n 41_o sch._n 42_o sch._n 34_o operation_n i._n before_o you_o proceed_v further_o you_o must_v know_v reader_n that_o the_o printer_n memorandum_n skip_v a_o line_n in_o the_o last_o paragraph_n and_o then_o adjust_v the_o number_n of_o planes_n to_o those_o he_o find_v express_v have_v leave_v out_o two_o so_o that_o the_o before_o mention_v principal_a plane_n be_v 7_o viz._n the_o horizontal_n plane_n the_o direct_a vertical_a plane_n the_o decline_a vertical_a plane_n the_o direct_a recline_a plane_n the_o direct_a incline_v plane_n 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towards_o your_o right_a hand_n the_o mark_n for_o your_o 11_o a_o clock_n hour_n line_n in_o the_o next_o place_n take_v in_o the_o say_a horizon_n the_o distance_n between_o the_o 1_o and_o 2_o a_o clock_n circle_n and_o place_n it_o from_o k_o onward_o to_o l_o for_o a_o mark_n for_o your_o 2_o a_o clock_n line_n and_o from_o h_z to_o g_o for_o the_o 10_o a_o clock_n line_n and_o so_o on_o till_o you_o come_v to_o r_o 8_o at_o night_n and_o to_o a_o 4_o in_o the_o morning_n which_o be_v the_o late_a and_o early_a summer_n hour_n if_o then_o you_o will_v have_v a_o large_a dial_n describe_v a_o large_a circle_n suppose_v nesw_n or_o if_o a_o lesser_a dial_n a_o lesser_a circle_n as_o mpqr_n and_o lay_v your_o ruler_n on_o the_o centre_n o_o and_o on_o each_o of_o the_o former_a mark_n or_o letter_n in_o the_o say_v blind_a circle_n successive_o draw_v but_o a_o fair_a line_n to_o the_o design_a limb_n or_o border_n whether_o it_o be_v a_o circle_n or_o the_o square_a vxyz_n or_o any_o other_o figure_n and_o your_o dial_n want_v nothing_o bdt_v a_o cock_n but_o remember_v that_o you_o need_v not_o draw_v your_o hour_n line_n quite_o from_o the_o centre_n o_o because_o meet_v all_o there_o they_o will_v be_v apt_a to_o blur_v therefore_o describe_v about_o the_o say_a centre_n at_o what_o distance_n you_o please_v a_o little_a circle_n like_o γ_n ♌_o λ_n and_o your_o line_n will_v terminate_v there_o with_o more_o neatness_n and_o convenience_n now_o if_o you_o have_v a_o mind_n to_o put_v on_o half_a hour_n etc._n and_o quarter_n you_o will_v not_o much_o err_v if_o you_o divide_v each_o hour_n into_o four_o part_n but_o to_o be_v exact_a you_o must_v make_v use_n of_o your_o string_n thus_o you_o know_v that_o the_o distance_n between_o each_o hour-circle_n in_o the_o aequator_fw-la be_v 15_o degree_n draw_v therefore_o your_o string_n from_o the_o pole_n throu_fw-fr '_o the_fw-fr aequator_fw-la of_o your_o globe_n over_o 7_o degree_n and_o 30_o minute_n or_o half_o the_o distance_n between_o each_o hour_n circle_n and_o where_o the_o string_n cut_v the_o horizon_n there_o will_v be_v the_o true_a half_a hour_n of_o that_o hour_n so_o that_o if_o you_o mark_v with_o your_o compass_n the_o say_a distance_n on_o the_o blind_a circle_n between_o the_o correspond_v hour_n line_n the_o ruler_n pass_v throu_fw-fr '_o that_o mark_n and_o centre_n will_v give_v you_o in_o the_o border_n the_o place_n of_o that_o half_a hour_n and_o in_o like_a manner_n you_o be_v to_o proceed_v in_o mark_v out_o the_o rest_n as_o also_o the_o quarter_n and_o all_o other_o subdivision_n as_o for_o the_o style_n or_o cock_n of_o this_o dial_n it_o must_v always_o at_o the_o centre_n make_v a_o angle_n with_o the_o meridian_n or_o 12_o a_o clock_n line_n oi_o equal_a to_o the_o distance_n between_o the_o pole_n and_o the_o near_a part_n of_o the_o horizon_n of_o the_o globe_n that_o be_v to_o say_v a_o angle_n equal_a to_o the_o elevation_n or_o latitude_n of_o the_o place_n therefore_o your_o dial_n be_v make_v suppose_v for_o london_n open_v your_o compass_n at_o the_o aforesaid_a distance_n or_o at_o 51_o degree_n and_o ½_o and_o place_v one_o foot_n on_o i_o the_o other_o will_v fall_v on_o k_o in_o the_o say_v blind_a circle_n so_o that_o draw_v the_o blind_a line_n ok_n to_o π_n you_o will_v have_v the_o triangle_n io_o π_n which_o if_o you_o so_o erect_v that_o the_o point_v o_o lie_v just_a on_o the_o centre_n and_o the_o base_a io_o on_o your_o 12_o a_o clock_n line_n or_o substile_n your_o dial_n be_v finish_v and_o here_o you_o may_v take_v notice_n that_o though_o this_o style_n be_v the_o triangle_n io_o π_n yet_o you_o may_v fashion_v it_o into_o what_o shape_n you_o please_v in_o case_n the_o side_n π_n o_o which_o indicates_z or_o shows_z the_o hour_n make_v still_o a_o angle_n of_o 51_o degree_n and_o 1_o 2_o with_o the_o meridian_n io_o nay_o you_o may_v make_v it_o a_o pin_n or_o upright_a style_n as_o appear_v by_o the_o 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