both_o end_n together_o and_o take_v half_a thereof_o for_o a_o mean_a breadth_n so_o find_v you_o 18_o then_o be_v it_o all_o one_o as_o if_o your_o board_n be_v 18_o inch_n and_o you_o will_v know_v how_o much_o in_o length_n make_v a_o foot_n take_v 12_o and_o fit_v it_o in_o 18_o and_o take_v it_o over_o in_o 12_o and_o so_o much_o make_v a_o foot_n let_v a_o board_n be_v broad_a at_o one_o end_n ten_o inch_n and_o a_o quarter_n and_o at_o the_o other_o seven_o and_o a_o half_a now_o the_o desire_n be_v to_o know_v how_o much_o in_o length_n make_v a_o foot_n add_v both_o the_o number_n together_o and_o take_v half_a which_o make_v 8_o inch_n and_o seven_o eight_o part_n of_o a_o inch_n for_o the_o common_a breadth_n then_o bring_v 8_o inch_n and_o seven_o eight_o of_o a_o inch_n &_o 12_o inch_n into_o eight_o and_o it_o make_v 71_o eight_o and_o 96_o eight_o take_v then_o 96_o in_o some_o scale_n and_o fit_a that_o in_o 71_o then_o let_v the_o scale_n rest_n then_o take_v it_o 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a_o touch_n line_n to_o these_o two_o arch_n c_o and_o d_o and_o this_o line_n so_o draw_v shall_v be_v parallel_n to_o the_o line_n ab_fw-la as_o be_v require_v chap._n v._o to_o perform_v the_o former_a proposition_n at_o a_o distance_n require_v and_o by_o a_o point_n limit_v admit_v ab_fw-la in_o the_o former_a chapter_n to_o be_v a_o right_a line_n give_v whereunto_o it_o be_v require_v to_o have_v a_o parallel_n line_n draw_v at_o the_o distance_n and_o by_o the_o point_n c._n place_v therefore_o one_o foot_n of_o your_o compass_n in_o c_o from_o whence_o take_v the_o short_a distance_n to_o the_o line_n ab_fw-la as_o ca_n at_o which_o distance_n with_o one_o foot_n in_o the_o end_n b_o with_o the_o other_o strike_v the_o arch_a line_n d_o by_o the_o extreme_a part_n of_o which_o arch_a line_n d_o and_o the_o point_n c_o draw_v the_o line_n cd_o which_o be_v parallel_n to_o the_o give_v line_n ab_fw-la which_o be_v require_v chap._n vi_o have_v two_o line_n give_v to_o find_v a_o three_o proportional_a line_n to_o they_o the_o two_o line_n give_v be_v a_o and_o b_o and_o it_o be_v require_v to_o find_v a_o three_o line_n which_o shall_v be_v in_o such_o proportion_n to_o a_o as_o a_o be_v to_o b._n make_v any_o angle_n whatsoever_o as_o the_o angle_n hec._n here_o note_n that_o a_o angle_n be_v always_o represent_v by_o three_o letter_n whereof_o the_o middle_a letter_n represent_v the_o angle_n intend_v then_o place_v the_o line_n a_o from_o the_o angle_n e_o to_o d_o and_o the_o line_n b_o from_o e_z to_o f_o and_o draw_v the_o line_n df._n place_v also_o the_o line_n a_o from_o e_o to_o h_n and_o last_o by_o the_o 4_o chapter_n from_o the_o point_n h_n draw_v the_o line_n hc_a parallel_n to_o fd._n so_o shall_v aec_fw-la be_v a_o three_o proportional_a line_n to_o the_o two_o give_v line_n as_o be_v require_v chap._n vii_o have_v three_o line_n give_v to_o find_v a_o four_o proportional_a line_n to_o they_o the_o three_o line_n give_v be_v a_o b_o and_o c_o and_o let_v it_o be_v require_v to_o find_v a_o four_o line_n which_o shall_v have_v such_o proportion_n to_o a_o as_o b_o have_v to_o c_o make_v any_o angle_n as_o dgk_n now_o see_v the_o line_n c_o have_v the_o same_o proportion_n to_o the_o lin_v b_o as_o the_o line_n a_o to_o the_o line_n seek_v for_o therefore_o place_v the_o line_n c_o from_o g_z to_o h_n and_o the_o line_n b_o from_o g_z to_o f_o then_o draw_v the_o line_n fh_v now_o place_v the_o line_n a_o from_z g_z to_o i_o by_o which_o point_n i_o draw_v the_o line_n ei_o parallel_n to_o fh_n till_o it_o cut_v dg_n in_o e_o so_o have_v you_o eglantine_n the_o four_o proportional_a line_n require_v which_o be_v 24._o for_o as_o the_o line_n 12_o be_v to_o the_o line_n 16_o so_o be_v the_o line_n 18_o to_o the_o line_n 24_o which_o be_v the_o length_n of_o the_o line_n we_o seek_v for_o these_o two_o last_o chapter_n will_v i_o have_v you_o diligent_o to_o consider_v and_o thorough_o to_o learn_v because_o it_o be_v the_o groundwork_n of_o that_o which_o i_o intend_v to_o deliver_v in_o this_o book_n which_o be_v well_o understand_v will_v bring_v much_o pleasure_n and_o profit_n to_o the_o unlearned_a artificer_n for_o who_o sake_n this_o be_v write_v chap._n viii_o the_o make_n of_o a_o rule_n or_o scale_n for_o the_o measure_n of_o board_n and_o timber_n this_o line_n thus_o divide_v be_v call_v a_o scale_n which_o be_v no_o other_o thing_n but_o a_o right_a line_n divide_v into_o any_o number_n of_o equal_a part_n be_v they_o great_a or_o lesser_a wide_a or_o narrow_a so_o they_o be_v equal_a
require_v and_o direct_o where_o the_o three_o fall_v there_o mark_v it_o with_o a_o prick_n of_o your_o compass_n as_o at_o e_o and_o draw_v the_o line_n ae_n now_o measure_v the_o distance_n between_o your_o stand_n and_o the_o base_a of_o your_o altitude_n which_o here_o we_o will_v suppose_v to_o be_v 36_o foot_n as_o from_o f_o to_o g_z and_o take_v 36_o from_o your_o scale_n &_o set_v it_o down_o from_o a_o to_o d_o from_o which_o point_n d_o raise_v a_o perpendicular_a to_o cut_v the_o plumbe-line_n ae_n in_o e_z so_o shall_v de_fw-fr be_v the_o height_n require_v which_o be_v apply_v unto_o your_o scale_n will_v reach_v unto_o 32_o and_o so_o many_o foot_n be_v the_o altitude_n gh_o here_o note_n that_o the_o altitude_n thus_o find_v be_v from_o the_o level_n of_o the_o eye_n upward_o and_o therefore_o the_o height_n from_o the_o eye_n downward_o be_v to_o be_v add_v thereto_o to_o make_v it_o complete_a chap._n xviii_o how_o to_o take_v the_o altitude_n or_o height_n of_o a_o 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