1_o 2_o then_o look_v for_o 17_o 3_o 4_o on_o the_o first_o line_n where_o 15_o 1_o 2_o be_v find_v and_o right_a against_o it_o on_o the_o second_o line_n be_v near_o 42_o the_o fraction_n be_v all_o decimal_n and_o you_o must_v reduce_v they_o to_o proper_a fraction_n according_o to_o work_v the_o rule_n of_o 3_o reverse_n 4._o set_a the_o first_o term_n seek_v out_o on_o the_o first_o line_n to_o the_o second_o be_v of_o the_o same_o denomination_n or_o kind_n to_o the_o second_o line_n or_o side_n then_o seek_v the_o three_o term_n on_o the_o second_o side_n and_o on_o the_o first_o you_o shall_v have_v the_o answer_v require_v example_n 5._o if_o 300_o mason_n build_v a_o edifice_n in_o 28_o day_n how_o many_o man_n must_v i_o have_v to_o perform_v the_o same_o in_o six_o day_n the_o answer_n will_v be_v find_v to_o be_v 1400._o 6._o to_o work_v the_o double_a rule_n of_o 3_o direct_v this_o be_v do_v by_o two_o work_n as_o thus_o for_o example_n if_o 112_o l._n or_o 1_o c._n weight_n cost_v 12_o penny_n the_o carraiage_n for_o 20_o mile_n what_o shall_v 6_o c_z cost_n 100_o mile_n say_v first_o by_o the_o three_o rule_n last_o mention_v as_o 1_o c._n weight_n to_o 12_o so_o be_v 6_o c._n weight_n to_o 72._o penny_n second_o say_v if_o 6_o c._n cost_n 72_o penny_n or_o rather_o 6_n for_o 20_o mile_n what_o shall_v 100_o mile_n require_v the_o answer_n be_v 30_o s._n for_o if_o you_o set_v 20_o against_o 6_o then_o right_a against_o 100_o be_v 30_o the_o answer_n require_v the_o use_n of_o mr._n whites_n rule_v in_o measure_v timber_n round_o or_o square_a the_o square_a or_o gird_v be_v give_v in_o inch_n and_o the_o length_n in_o foot_n and_o inch_n 1._o the_o inch_n that_o a_o piece_n of_o timber_n be_v square_a be_v give_v to_o find_v how_o much_o in_o length_n make_v a_o foot_n of_o timber_n look_v the_o number_n of_o inch_n square_a on_o that_o side_n of_o the_o timber_n line_n which_o be_v number_v with_o single_a figure_n from_o 1_o to_o 12_o and_o set_v it_o just_a against_o 100_o on_o the_o other_o or_o second_o side_n then_o right_o against_o 12_o at_o the_o low_a or_o some_o time_n the_o upper_a end_n on_o the_o first_o line_n in_o the_o second_o you_o have_v the_o number_n of_o foot_n and_o inch_n require_v example_n at_o 4_o 1_o 2_o inch_n square_a you_o must_v have_v 7_o foot_n 1_o inch_n 1_o 3_o to_o make_v a_o foot_n of_o timber_n but_o if_o it_o be_v above_o 12_o inch_n square_a then_o use_v the_o six_o problem_n of_o the_o 5_o chapter_n of_o the_o carpenter_n rule_n with_o the_o double_a figure_a side_n and_o compass_n 2._o but_o if_o it_o be_v a_o round_a smooth_a stick_n of_o above_o 12_o inch_n about_o and_o to_o it_o you_o will_v know_v how_o much_o in_o length_n make_v a_o true_a foot_n then_o do_v thus_o set_a the_o one_o at_o the_o begin_n of_o the_o double_a figure_a side_n next_o your_o left_a hand_n to_o the_o foot_n and_o inch_n about_o count_v in_o the_o other_o side_n number_v with_o single_a figure_n from_o 1_o to_o 12_o then_o right_o against_o three_o foot_n six_o 1_o 2_o inch_n in_o the_o single_a figure_n side_n next_o the_o right_a hand_n you_o have_v in_o the_o first_o side_n the_o number_n of_o foot_n and_o inch_n require_v example_n a_o piece_n of_o 12_o inch_n about_o require_v 11_o f_z 7_o in_o fere_n to_o make_v a_o foot_n again_o a_o piece_n of_o 15_o inch_n about_o must_v have_v 8_o foot_n 1_o 2_o a_o inch_n in_o length_n to_o make_v a_o foot_n of_o timber_n 3._o but_o if_o you_o will_v have_v it_o to_o be_v equal_a to_o the_o square_n make_v by_o the_o four_o part_n of_o a_o line_n gird_v about_o the_o piece_n than_o instead_o of_o three_o foot_n 6_o 1_o 2_o inch_n make_v use_v of_o four_o foot_n and_o you_o shall_v have_v your_o desire_n 4._o the_o side_n of_o a_o square_n be_v give_v in_o inch_n and_o the_o length_n in_o foot_n to_o find_v the_o content_n of_o a_o piece_n of_o timber_n if_o it_o be_v under_o 12_o inch_n square_v then_o work_v thus_o set_v 12_o at_o the_o beginning_n or_o end_n of_o the_o right_a hand_n side_n to_o the_o length_n count_v on_o the_o other_o side_n then_o right_o against_o the_o inch_n square_a on_o the_o right_a side_n be_v the_o content_a on_o the_o left_a side_n example_n at_o 30_o foot_n long_o &_o 9_o inch_n square_a you_o shall_v find_v 16_o foot_n 11_o inch_n for_o the_o work_a this_o question_n 12_o at_o the_o end_n must_v be_v use_v but_o if_o it_o be_v above_o 12_o inch_n square_a then_o ser_fw-mi one_o at_o the_o beginning_n or_o 10_o at_o the_o end_n of_o the_o right_a hand_n side_n to_o the_o length_n count_v on_o the_o other_o side_n than_o the_o number_n of_o inch_n or_o rather_o foot_n and_o inch_n count_v on_o the_o first_o side_n shall_v show_v on_o the_o second_o the_o foot_n and_o part_n require_v example_n at_o 1_o f._n 6_o inch_n square_n and_o 30_o foot_n long_o you_o shall_v find_v 67_o foot_n and_o about_o a_o 1_o 2._o 5._o to_o measure_v a_o round_a piece_n by_o have_v the_o length_n and_o the_o number_n of_o inch_n about_o be_v a_o smooth_a piece_n and_o to_o measure_v true_a and_o just_a measure_n then_o proceed_v thus_o set_v 3_o f._n 6_o 1_o 2_o inch_n on_o the_o right_a side_n to_o the_o length_n on_o the_o other_o side_n than_o the_o foot_n and_o inch_n about_o on_o the_o first_o side_n shall_v show_v on_o the_o second_o or_o leave_v the_o content_a require_v as_o at_o 20_o inch_n about_o and_o 20_o foot_n long_o the_o content_n will_v be_v find_v to_o be_v about_o 4_o foot_n 5_o inch_n but_o if_o you_o give_v the_o usual_a allowance_n that_o be_v make_v by_o duple_v the_o string_n 4_o time_n that_o girt_n the_o piece_n than_o you_o must_v set_v 4_o foot_n on_o the_o right_a side_n to_o the_o length_n on_o the_o other_o then_o at_o 1_o foot_n 8_o inch_n about_o the_o last_o example_n you_o shall_v find_v but_o three_o foot_n 6_o inch_n 6._o â_o astly_a if_o the_o rule_n be_v make_v fit_a for_o foot_n measure_n only_o than_o the_o point_n of_o 12_o be_v altogether_o neglect_v and_o one_o only_o make_v use_n of_o as_o a_o stand_a number_n and_o the_o point_n at_o three_o foot_n 6_o 1_o 2_o will_v be_v at_o three_o foot_n 54_o part_n and_o the_o four_o will_v be_v the_o same_o and_o the_o same_o direction_n in_o every_o respect_n serve_v the_o turn_n and_o because_o i_o call_v it_o mr._n whites_n rule_n be_v the_o contriver_n thereof_o according_a to_o foot_n and_o inch_n i_o have_v therefore_o fit_v these_o direction_n according_o and_o there_o be_v sufficient_a to_o the_o ingenious_a practitioner_n chap._n xix_o certain_a proposition_n to_o find_v the_o hour_n and_o the_o azimuth_n by_o the_o line_n on_o the_o sector_n prop._n 1._o have_v the_o latitude_n and_o compliment_n of_o the_o declination_n and_o sun_n altitude_n and_o the_o hour_n from_o noon_n to_o find_v the_o sun_n azimuth_n ãâã_d that_o time_n take_v the_o right_n sine_fw-la of_o the_o compliment_n of_o the_o sun_n altitude_n and_o make_v ãâã_d it_o a_o parallel_n sine_fw-la in_o the_o sine_fw-la of_o the_o ãâã_d hour_n from_o noon_n count_v 15_o degree_n ãâã_d for_o a_o hour_n and_o 1_o degree_n for_o for_o minute_n count_v from_o the_o centre_n the_o sector_n so_o set_v take_v the_o right_a sine_fw-la of_o the_o compliment_n of_o the_o declination_n and_o carry_v it_o parallel_n till_o the_o compass_n stay_v in_o like_a sin_n and_o the_o sine_fw-la wherein_o they_o stay_v shall_v be_v the_o sine_fw-la of_o the_o azimuth_n require_v or_o else_o thus_o take_v the_o right_n sine_fw-la of_o the_o declination_n make_v it_o a_o parallel_n in_o the_o cousin_n of_o the_o sun_n altitude_n then_o take_v the_o parallel_n sine_fw-la of_o the_o hour_n from_o noon_n and_o it_o shall_v be_v the_o latteral_a or_o right_a sine_fw-la of_o the_o azimuth_n from_o the_o south_n require_v if_o it_o be_v between_o six_o in_o the_o morning_n and_o 6_o at_o night_n or_o from_o the_o north_n if_o it_o be_v before_o or_o after_o six_o and_o so_o likewise_o be_v the_o azimuth_n prop._n 2._o have_v the_o azimuth_n from_o south_n or_o north_n the_o compliment_n of_o the_o sun_n altitude_n and_o declination_n to_o find_v the_o hour_n take_v the_o latteral_a or_o right_a sine_fw-la of_o the_o compliment_n of_o the_o sun_n altitude_n make_v it_o a_o gaââllel_n in_o the_o cousin_n of_o the_o declination_n the_o sector_n so_o set_v ache_v out_o the_o parallel_n sine_fw-la of_o the_o azimuth_n and_o measure_v it_o from_o the_o centre_n and_o it_o shall_v reach_v to_o the_o right_n sine_fw-la of_o the_o hour_n from_o noon_n require_v or_o
the_o amplitude_n from_o the_o east_n or_o west_n count_v from_o 90._o example_n may_v the_o ten_o it_o be_v 33._o 37._o chap._n v._n have_v the_o sun_n declination_n or_o day_n of_o the_o month_n to_o find_v the_o azimuth_n at_o any_o altitude_n require_v for_o that_o day_n first_o find_v the_o sun_n declination_n by_o the_o first_o proposition_n of_o the_o four_o chapter_n then_o take_v that_o out_o of_o the_o particular_a scale_n of_o altitude_n or_o scale_v to_o 62_o degree_n than_o whatsoever_o the_o altitude_n shall_v happen_v to_o be_v count_v the_o same_o on_o the_o degree_n from_o 60_o towards_o the_o end_n of_o the_o rule_n according_a to_o the_o second_o manner_n of_o count_v in_o the_o three_o proposition_n of_o the_o three_o chapter_n and_o thereunto_o lie_v the_o thread_n than_o the_o compass_n set_v to_o the_o declination_n carry_v one_o point_n along_o the_o line_n of_o hour_n on_o the_o same_o side_n of_o the_o thread_n the_o declination_n be_v that_o be_v to_o say_v if_o the_o day_n of_o the_o month_n or_o declination_n be_v on_o the_o right_a side_n the_o aequinoctial_a then_o carry_v the_o compass_n on_o the_o right_a side_n but_o if_o the_o declination_n be_v on_o the_o south_n side_n that_o be_v towards_o the_o end_n count_v from_o the_o ten_o of_o march_n or_o aries_n or_o libra_n then_o carry_v the_o compass_n along_o the_o line_n of_o hour_n and_o azimuth_n on_o the_o left_a side_n of_o the_o thread_n as_o all_o winâer_a time_n it_o will_v be_v and_o have_v set_v the_o compass_n to_o the_o least_o distance_n to_o the_o thread_n it_o shâll_v stay_v at_o the_o sun_n true_a azimuth_n from_o the_o south_n require_v count_v as_o the_o figure_n be_v number_v or_o from_o east_n or_o west_n count_v from_o 90._o example_n 1._o on_o the_o ten_o of_o july_n i_o desire_v to_o find_v the_o sun_n azimuth_n at_o any_o altitude_n first_o on_o that_o day_n i_o find_v the_o sun_n declination_n to_o be_v 20._o 45_o which_o number_n count_v from_o the_o begin_n of_o the_o particular_a scale_n of_o altitude_n towards_o 62_o and_o that_o distance_n take_v between_o your_o compass_n then_o be_v they_o set_v for_o all_o that_o day_n then_o suppose_v the_o sun_n height_n to_o be_v ten_o degree_n lay_v the_o thread_n on_o 10_o count_v from_o 60_o towards_o the_o left_a end_n then_o carry_v the_o compass_n on_o the_o right_a side_n of_o the_o thread_n because_o it_o be_v summer_n or_o north_n declination_n on_o the_o line_n of_o azimuth_n it_o shall_v show_v 110._o 40_o the_o azimuth_n from_o the_o south_n require_v but_o if_o you_o count_v from_o 90_o it_o be_v but_o 20._o 40._o from_o the_o east_n or_o west_n point_v northward_o according_a to_o the_o time_n of_o the_o day_n either_o morning_n or_o evening_n example_n 2._o again_o on_o the_o 14._o of_o november_n or_o the_o 6._o of_o january_n when_o the_o sun_n have_v the_o same_o declination_n southward_o and_o the_o same_o altitude_n to_o work_v this_o you_o must_v lay_v the_o rule_n down_o on_o something_o then_o lay_v the_o thread_n on_o the_o altitude_n count_v from_o 60_o towards_o the_o end_n as_o before_o and_o carry_v the_o compass_n on_o the_o southside_n of_o the_o aequinoctial_a along_o the_o azimuth-line_n till_o the_o other_o point_n do_v but_o just_a touch_n the_o thread_n and_o it_o shall_v stay_v at_o 36._o 45_o the_o azimuth_n from_o south_n require_v if_o it_o be_v morning_n it_o want_v of_o come_v to_o south_n if_o it_o be_v afternoon_n it_o be_v pass_v the_o south_n example_n 3._o but_o if_o the_o sun_n be_v in_o the_o aequinoctial_a and_o have_v no_o declination_n than_o it_o be_v but_o lay_v the_o thread_n to_o the_o altitude_n and_o in_o the_o line_n of_o azimuth_n the_o thread_n shall_v show_v the_o true_a azimuth_n require_v as_o for_o instance_n at_o 00_o degree_n of_o altitude_n the_o azimuth_n be_v 90_o at_o 10_o degree_n it_o be_v 77._o 15_o at_o 20_o degree_n 62._o 45_o at_o 30_o degree_n high_a 43._o 15_o at_o 35_o degree_n high_a 28._o 10_o at_o 38_o degree_n 28_o '_o high_z it_o be_v just_a south_n as_o by_o practice_n may_v plain_o appear_v but_o if_o the_o sun_n altitude_n be_v above_o 45_o than_o the_o degree_n will_v go_v beyond_o the_o end_n of_o the_o rule_n to_o supply_v this_o defect_n do_v thus_o subtract_v 45_o out_o of_o the_o number_n you_o will_v have_v and_o double_a the_o remainder_n then_o lay_v the_o rule_n down_o with_o some_o piece_n of_o the_o same_o thickness_n in_o a_o straight_a line_n with_o the_o movable_a leg_n then_o take_v the_o distance_n from_o the_o tangent_fw-la of_o the_o remainder_n double_v count_v from_o 60_o to_o the_o end_n of_o the_o rule_n in_o the_o line_n next_o the_o edge_n to_o the_o centre_n lay_v that_o distance_n in_o the_o same_o straight_a line_n from_o the_o tangent_fw-la double_v and_o that_o shall_v be_v the_o tangent_fw-la of_o the_o angle_n above_o 45_o whereunto_o you_o must_v lay_v the_o thread_n for_o the_o find_v the_o azimuth_n when_o the_o sun_n be_v above_o 45_o degree_n high_a chap._n vi_o to_o find_v the_o hour_n of_o the_o night_n by_o the_o moon_n first_o by_o the_o help_n of_o a_o almanac_n get_v the_o true_a time_n of_o the_o new_a moon_n then_o compute_v her_o true_a place_n at_o that_o time_n which_o be_v always_o the_o place_n of_o the_o sun_n very_o nigh_o at_o the_o hour_n and_o minute_n of_o conjunction_n then_o compute_v how_o many_o day_n old_a the_o moon_n be_v then_o by_o the_o line_n of_o number_n say_v if_o 29_o day_n 13_o hour_n or_o on_o the_o line_n 29._o 540_o require_v 860_o degree_n or_o 12_o sign_n what_o shall_v âny_v less_o number_n of_o day_n and_o part_n of_o a_o day_n require_v the_o answer_n will_v be_v the_o moon_n true_a place_n at_o that_o age_n have_v âound_v her_o true_a place_n then_o take_v her_o altitude_n and_o lay_v the_o thread_n on_o the_o moon_n place_v find_v and_o work_v as_o you_o do_v for_o the_o sun_n and_o note_v what_o hour_n you_o find_v then_o consider_v if_o it_o be_v new_a moon_n the_o hour_n you_o find_v be_v thentrue_a hour_n likewise_o in_o the_o full_a but_o if_o it_o be_v before_o or_o after_o you_o must_v subtract_v by_o the_o line_n of_o number_n thus_o if_o 29_o day_n 540_o part_n require_v 24_o hour_n what_o shall_v any_o number_n of_o day_n and_o part_n require_v the_o answer_n be_v what_o you_o must_v take_v away_o from_o the_o moon_n hour_n find_v to_o make_v the_o true_a hour_n of_o the_o night_n which_o be_v require_v but_o for_o more_o plainness_n sake_n i_o will_v reduce_v these_o operation_n to_o so_o many_o proposition_n before_o i_o come_v to_o a_o example_n prop._n 1._o to_o find_v the_o moon_n age._n first_o it_o be_v most_o ready_o and_o exact_o do_v by_o a_o ephemerides_n such_o a_o one_o as_o you_o find_v in_o mr._n lilly_n almanac_n or_o as_o to_o her_o age_n only_o in_o any_o book_n or_o sheet-almanack_n but_o you_o may_v do_v it_o indifferent_o by_o the_o epact_n thus_o by_o the_o rule_n of_o the_o 152_o page_n in_o the_o appendix_n to_o the_o carpenter_n rule_n add_v the_o epact_n the_o month_n and_o the_o day_n of_o the_o month_n together_o and_o the_o sum_n if_o under_o 30_o be_v the_o moon_n age_n but_o if_o above_o consider_v if_o the_o month_n have_v 30_o or_o 31_o day_n then_o subtract_v 29_o or_o 30_o out_o and_o the_o remainder_n be_v the_o moon_n age_n in_o day_n example_n august_n 2._o 1660._o epact_n 28._o month_n 6._o day_n 2._o add_v make_n 36._o now_o august_n or_o six_o month_n have_v 31_o day_n therefore_o 30_o being_n take_v away_o 6_o day_n remain_v for_o the_o moon_n age_n require_v prop._n 2._o to_o find_v the_o moon_n place_n by_o the_o ephemerides_n aforesaid_a in_o mr._n lilly_n almanac_n you_o have_v it_o ser_fw-mi down_o every_o day_n in_o the_o year_n but_o to_o find_v it_o by_o the_o rule_n do_v thus_o count_n six_o day_n back_o from_o august_n 2._o viz._n to_o july_n 27._o there_o lay_v the_o thread_n and_o in_o the_o line_n of_o the_o sun_n place_n you_o have_v the_o moon_n place_v require_v be_v then_o near_o alike_o then_o in_o regard_n the_o moon_n go_v fast_a than_o the_o sun_n that_o be_v to_o say_v in_o 29_o day_n 13_o hour_n 12_o sign_n or_o 360_o degree_n in_o 3_o day_n 1_o sign_n 6_o degr_n 34_o min._n 20_o sec._n in_o one_o day_n o_o sign_n 12_o degr_n 11_o min._n 27_o sec._n in_o one_o hour_n 30_o min._n 29_o sec._n or_o half_o a_o minute_n add_v the_o sign_n and_o degree_n and_o minute_n the_o moon_n have_v go_v in_o so_o many_o day_n and_o hour_n if_o you_o know_v they_o together_o and_o the_o sun_n shall_v be_v the_o moon_n true_a place_n be_v add_v to_o what_o she_o have_v on_o
not_o the_o time_n in_o common_a hour_n but_o be_v thus_o find_v add_v the_o compliment_n of_o the_o sun_n ascension_n and_o the_o star_n right_a ascension_n and_o the_o star_n hour_n last_o find_v together_o and_o the_o sun_n if_o less_o than_o 12_o or_o the_o remain_z 12_o be_v substract_v shall_v be_v the_o time_n of_o his_o rise_n in_o common_a hour_n but_o for_o his_o set_n add_v the_o star_n set_v last_o find_v to_o the_o other_o number_n and_o the_o sum_n or_o difference_n shall_v be_v the_o set_n example_n for_o the_o bulls-eye_n on_o the_o 23_o of_o december_n it_o rise_v at_o 2_o in_o the_o afternoon_n and_o set_v at_o 4._o 46_o in_o the_o morning_n 4._o to_o find_v the_o time_n of_o the_o sothe_v of_o any_o star_n on_o the_o rule_n or_o any_o other_o who_o right_a ascension_n and_o declination_n be_v know_v subtract_v the_o sun_n right_a ascension_n from_o the_o star_n increase_v by_o 24_o when_o you_o can_v do_v without_o and_o the_o remainder_n if_o less_o than_o 12_o be_v the_o time_n require_v in_o the_o afternoon_n or_o night_n before_o 12_o but_o if_o there_o remain_v more_o than_o 12_o subtract_v 12_o and_o the_o residue_n be_v the_o time_n from_o midnight_n to_o midday_n follow_v example_n lyons-heart_n on_o the_o ten_o of_o march_n the_o sun_n ascension_n be_v 0_o 2_o '_o lyons-heart_n whole_a right_a asc_n be_v 9_o 50_o '_o time_z of_o sothe_v be_v 9_o 48_o '_o at_o night_n 5._o to_o find_v how_o long_o any_o star_n will_v be_v above_o the_o horizon_n lay_v the_o thread_n to_o the_o star_n and_o in_o the_o hour-line_n it_o show_v the_o ascensional_a difference_n count_v from_o 90_o then_o note_n if_o the_o star_n have_v north_n declination_n add_v that_o to_o 6_o hour_n and_o the_o sum_n be_v half_a the_o time_n if_o south_n subtract_v it_o from_o 6_o and_o the_o residue_n be_v half_a the_o time_n and_o the_o compliment_n of_o each_o to_o 24_o be_v double_v be_v the_o whole_a nocturnal_a arch_n under_o the_o horizon_n example_n for_o the_o bulls-eye_n his_o ascensional_a difference_n will_v be_v find_v to_o be_v one_o hour_n 23_o minute_n which_o add_v to_o 6_o hour_n and_o double_a make_v 14._o 46_o the_o diurnal_a ark_n of_o the_o star_n and_o the_o residue_n from_o 24_o be_v 9_o 14._o for_o the_o nocturnal_a ark_n or_o the_o time_n of_o its_o be_v under_o the_o horizon_n chap._n ix_o to_o perform_v the_o foregoing_a work_n in_o any_o latitude_n as_o rise_v amplitude_n ascensional_a difference_n latitude_n hour_n and_o azimuth_n wherein_o i_o shall_v give_v only_o the_o rule_n and_o leave_v out_o the_o example_n for_o brevity_n sake_n 1._o for_o the_o rise_n and_o set_v and_o ascensional_a difference_n be_v all_o one_o do_v thus_o take_v the_o sun_n declination_n out_o of_o the_o general_a scale_n of_o altitude_n than_o set_v one_o foot_n of_o the_o compass_n in_o the_o colatitude_n on_o the_o same_o scale_n and_o with_o the_o other_o lie_v the_o thread_n to_o the_o nigh_a distance_n then_o the_o thread_n so_o lay_v take_v the_o nigh_a distance_n from_o the_o latitude_n to_o the_o thread_n with_o that_o distance_n set_v one_o foot_n in_o the_o sun_n declination_n count_v from_o 90_o towards_o the_o centre_n and_o the_o thread_n lay_v to_o the_o near_a distance_n shall_v in_o the_o degree_n show_v the_o ascensional_a difference_n require_v count_v from_o 90_o at_o the_o head_n towards_o the_o end_n of_o the_o rule_n and_o if_o you_o reduce_v those_o degree_n and_o minute_n to_o time_n you_o have_v the_o rise_n and_o set_v before_o and_o after_o 6_o according_a to_o the_o declination_n and_o time_n of_o the_o year_n 2._o to_o find_v the_o sun_n amplitude_n take_v the_o sun_n declination_n and_o set_v one_o foot_n in_o the_o colatitude_n with_o the_o other_o lie_v the_o thread_n to_o the_o near_a distance_n and_o on_o the_o degree_n it_o show_v the_o sun_n amplitude_n at_o rise_v or_o set_v count_v as_o beâore_v from_o 90_o to_o the_o left_a end_n of_o the_o rule_n 3._o have_v amplitude_n and_o declination_n to_o find_v the_o latitude_n take_v the_o declination_n from_o the_o general_a scale_n and_o set_v one_o foot_n in_o the_o amplitude_n the_o thread_n lay_v to_o the_o near_a distance_n in_o the_o line_n of_o degree_n it_o show_v the_o compliment_n of_o the_o latitude_n require_v or_o the_o converse_n 4._o have_v latitude_n sun_n declination_n and_o altitude_n to_o find_v the_o height_n at_o 6_o and_o then_o at_o any_o other_o time_n of_o the_o day_n and_o year_n count_n the_o declination_n in_o the_o degree_n from_o 90_o towards_o the_o end_n thereto_o lay_v the_o thread_n the_o least_o distance_n from_o which_o to_o the_o latitude_n in_o the_o general_a scale_n shall_v be_v the_o sun_n height_n at_o 6_o in_o the_o summer_n or_o his_o depression_n in_o the_o winter_n the_o compass_n stand_v at_o this_o distance_n take_v measure_n on_o the_o general_a scale_n of_o altitude_n from_o the_o begin_n at_o the_o pin_n towards_o 90_o keep_v one_o point_n there_o open_v the_o other_o to_o the_o sun_n altitude_n thus_o have_v you_o substract_v the_o height_n at_o 6_o out_o of_o the_o sun_n altitude_n but_o in_o winter_n you_o must_v add_v the_o depression_n at_o 6_o which_o be_v all_o one_o at_o the_o same_o declination_n with_o his_o height_n at_o 6_o in_o summer_n and_o that_o be_v do_v thus_o put_v one_o point_n of_o the_o compass_n so_o set_v in_o the_o general_a scale_n to_o the_o sun_n altitude_n then_o turn_v the_o other_o outward_n towards_o 90_o there_o keep_v it_o then_o open_a the_o compass_n to_o the_o begin_n of_o the_o scale_n then_o have_v you_o add_v it_o to_o the_o sun_n altitude_n have_v this_o distance_n set_v one_o foot_n in_o the_o colatitude_n on_o the_o general_a scale_n lay_v the_o thread_n to_o the_o near_a distance_n the_o thread_n so_o lay_v take_v the_o near_a distance_n from_o 90_o to_o the_o thread_n than_o set_v one_o foot_n in_o the_o declination_n count_v from_o 90_o and_o on_o the_o degree_n it_o show_v the_o hour_n from_o 6_o reckon_v from_o the_o head_n or_o from_o 12_o count_v from_o the_o end_n of_o the_o rule_n i_o shall_v make_v all_o more_o plain_a by_o make_v three_o proposition_n of_o it_o thus_o prop._n 1._o to_o find_v the_o hour_n in_o the_o aequinoctial_a take_v the_o altitude_n from_o the_o begin_n of_o the_o general_a scale_n of_o altitude_n and_o set_v one_o foot_n in_o the_o colatitude_n the_o thread_n lay_v to_o the_o near_a distance_n with_o the_o other_o foot_n in_o the_o degree_n shall_v show_v the_o hour_n from_o 6_o count_v from_o 90_o and_o allow_v for_o every_o 15_o 1_o hour_n and_o 4_o min_fw-mi for_o every_o degree_n prop._n 2._o to_o find_v it_o at_o just_a 6._o be_v before_o express_v by_o the_o converse_n of_o the_o first_o part_n of_o the_o four_o which_o i_o shall_v again_o repeat_v prop._n 3._o to_o find_v it_o at_o any_o time_n do_v thus_o count_n the_o sun_n declination_n in_o the_o degree_n thereunto_o lay_v the_o thread_n the_o least_o distance_n to_o which_o from_o latitude_n in_o the_o general_a scale_n shall_v be_v the_o sun_n altitude_n at_o 6_o which_o distance_n in_o summer_n you_o must_v subtract_v from_o but_o in_o winter_n you_o must_v add_v to_o the_o sun_n present_a altitude_n have_v that_o distance_n set_v one_o foot_n in_o the_o coaltitude_n with_o the_o other_o lie_v the_o thread_n to_o the_o near_a distance_n take_v again_o the_o near_a distance_n from_o 90_o to_o the_o thread_n than_o set_v one_o foot_n in_o the_o sun_n diclination_n count_v from_o 90_o and_o lay_v the_o thread_n to_o the_o near_a distance_n and_o in_o the_o degree_n it_o shall_v show_v the_o hour_n require_v example_n at_o 10_o declination_n north_n and_o 30_o high_a latitude_n 51._o 32_o the_o hour_n be_v find_v to_o be_v 8._o 25_o count_v 90_o for_o 6_o and_o so_o forward_o again_o at_o 20_o degree_n of_o declination_n south_n and_o 10_o degree_n of_o altitude_n i_o find_v the_o hour_n in_o the_o same_o latitude_n to_o be_v 17_o minute_n past_o 9_o have_v latitude_n delination_n and_o altitude_n to_o find_v the_o sun_n azimuth_n take_v the_o sine_fw-la of_o the_o declination_n put_v one_o foot_n in_o the_o latitude_n the_o thread_n lay_v to_o the_o near_a distance_n in_o the_o degree_n it_o show_v the_o sun_n height_n at_o due_a east_n or_o west_n which_o you_o must_v in_o summer_n subtract_v from_o the_o sun_n altitude_n as_o before_o on_o the_o general_a scale_n of_o altitude_n with_o which_o distance_n put_v one_o foot_n in_o the_o colatitude_n and_o lay_v the_o thread_n to_o the_o near_a distance_n then_o take_v the_o near_a distance_n from_o the_o sine_fw-la of_o the_o latitude_n fit_a that_o again_o in_o the_o colatitude_n and_o the_o thread_n lay_v to_o the_o heere_v
degree_n on_o the_o other_o side_n of_o the_o rule_n and_o lay_v off_o 15_o 30_o and_o 45_o for_o every_o whole_a hour_n or_o every_o 3_o degree_n and_o 45_o minute_n for_o every_o quarter_n from_o d_o and_o e_z toward_z f_o and_o g_o for_o 7_o 8_o 9_o and_o for_o 3_o 4_o and_o 5_o a_o clock_n hour_n point_v last_o set_v c_o d_o or_o b_o e_z in_o the_o tangent_fw-la of_o 45_o and_o lay_v the_o same_o point_n of_o 15_o 30_o 45_o both_o way_n from_o b_o or_o 12_o for_o 10_o 11_o and_o 1_o 2_o and_o to_o all_o those_o point_n draw_v line_n for_o the_o true_a hour-line_n require_v for_o lay_v down_o the_o style_v height_n if_o you_o take_v the_o latitude_n compliment_n out_o of_o the_o tangent-line_n as_o the_o sector_n stand_v to_o prick_v the_o noon_n hour_n and_o set_v it_o on_o the_o line_n d_o f_o or_o e_o g_o from_o d_o or_o e_z downward_o from_o d_o to_o h_n it_o will_v show_v you_o where_o to_o draw_v c_o h_n for_o the_o style_n then_o to_o those_o line_n set_v figure_n and_o plant_v the_o dial_n horizontal_a and_o the_o style_v perpendicular_a and_o right_a north_n and_o south_n and_o it_o shall_v show_v when_o the_o sun_n shine_v the_o true_a hour_n of_o the_o day_n note_v well_o the_o figure_n follow_v chap._n xii_o to_o draw_v a_o vertical_a direct_v south_n or_o north_n dyal_n first_o draw_v a_o perpendicular_a line_n for_o 12_o a_o clock_n then_o in_o that_o line_n at_o the_o upper_a end_n in_o the_o south_n plain_a and_o at_o the_o low_a end_n in_o a_o north_n plain_a appoint_v a_o place_n for_o the_o centre_n through_o which_o point_n across_o it_o at_o right_a angle_n a_o horizontall_a dial_n a_o south_n dial_n for_o 6_o and_o 6_o as_o you_o do_v in_o the_o horizontal_a plain_n as_o the_o line_n a_o b_o and_o c_o d_o on_o each_o side_n 12_o make_v two_o parallel_n as_o in_o the_o horizontal_a then_o take_v a_o d_o the_o parallel_n and_o fit_v it_o in_o the_o sine_fw-la of_o the_o latitude_n compliment_n and_o take_v out_o the_o sine_fw-la of_o 90_o and_o 90_o and_o lay_v it_o in_o the_o parallel_n from_o d_o and_o c_o to_z e_z and_o f_o and_o draw_v the_o line_n e_o f_o then_o make_v d_o e_z and_o b_o e_o tangent_n of_o 45_o and_o lay_v down_o the_o hour_n as_o you_o do_v in_o the_o horizontal_a and_o you_o shall_v have_v point_n whereby_o to_o draw_v the_o hour_n line_n for_o the_o north_n you_o must_v turn_v the_o hour_n both_o way_n for_o 4_o 5_o 8_o and_o 7_o in_o the_o morning_n and_o 4_o 5_o 7_o and_o 8_o at_o night_n the_o height_n of_o the_o stile_n must_v be_v the_o tangent_fw-la of_o the_o compliment_n of_o the_o of_o the_o latitude_n when_o the_o sector_n be_v set_v to_o lay_v off_o the_o hour_n from_o d_o as_o here_o it_o be_v lay_v down_o from_o c_o to_o g_z and_o draw_v the_o line_n a_o g_o for_o the_o stile_n for_o illustration_n sake_n note_v the_o figure_n chap._n xii_o to_o draw_v a_o erect_a east_n or_o west_n dial._n first_o by_o the_o five_o proposition_n of_o the_o second_o chapter_n draw_v a_o horizontal_a line_n as_o the_o line_n a_o b_o at_o the_o upper_a part_n of_o the_o plain_a then_o at_o one_o three_o part_n of_o the_o line_n a_o b_o from_o a_o the_o right_a end_n if_o it_o be_v a_o east_n plain_a or_o from_o b_o the_o left_a end_n if_o it_o be_v a_o west_n plain_a appoint_v the_o centre_n c_o from_o which_o point_n c_z draw_v the_o semicircle_n a_o e_o d_o and_o fit_a that_o radius_fw-la in_o the_o sine_fw-la of_o 30_o degree_n which_o in_o the_o chord_n be_v 60_o degree_n then_o take_v out_o the_o sine_fw-la of_o half_a the_o latitude_n and_o lay_v it_o from_o a_o to_o e_o and_o draw_v the_o line_n c_o e_z for_o six_o in_o the_o morning_n on_o the_o east_n or_o the_o contrary_a way_n for_o the_o west_n then_o lay_v the_o sine_fw-la of_o half_a the_o compliment_n of_o the_o latitude_n from_o d_o to_o f_o and_o draw_v the_o line_n c_o f_o for_o the_o contingent_a or_o equinoctial_a line_n to_o which_o line_n you_o must_v draw_v another_o line_n parallel_n as_o far_o a_o east_n dial_n a_o west_n dial_n asunder_o as_o the_o plain_n will_v give_v leave_n then_o take_v the_o near_a distance_n from_o a_o to_o the_o six_o a_o clock_n line_n or_o more_o or_o less_o as_o you_o best_o fancy_v and_o fit_v it_o in_o the_o tangent_fw-la of_o 45_o degree_n and_o prick_v down_o all_o the_o hour_n and_o quarter_n on_o both_o the_o equinoctial_a line_n both_o way_n from_o six_o and_o they_o shall_v be_v point_n whereby_o to_o draw_v the_o hoor_fw-mi line_n by_o but_o for_o the_o two_o hour_n of_o 10_o and_o 11_o there_o be_v a_o lesser_a tangent_fw-la beginning_n at_o 45_o and_o proceed_v to_o 75_o which_o use_v thus_o fit_v the_o space_n from_o six_o to_o three_o in_o the_o little_a tangent_fw-la of_o 45_o and_o then_o and_o then_o lie_v of_o 60_o in_o the_o little_a tangent_n from_o 6._o to_o 10_o and_o the_o tangent_fw-la of_o 75_o from_o 6_o to_o 11_o and_o the_o respective_a quarter_n also_o if_o you_o please_v so_o have_v you_o all_o the_o hourâs_n in_o the_o east_n or_o west_n dial_n the_o distance_n from_o six_o to_o nine_o or_o from_o six_o to_o three_o in_o the_o west_n be_v the_o height_n of_o the_o stile_n in_o the_o east_n and_o west_n dial_n and_o must_v stand_v in_o the_o six_o a_o clock_n line_n and_o parallel_v to_o the_o plain_a chap._n xiii_o to_o find_v the_o declination_n of_o any_o plain_a for_o the_o find_n of_o the_o declination_n of_o a_o plain_a the_o most_o usual_a and_o easy_a way_n be_v by_o a_o magnetical_a needle_n fit_v according_a to_o mr._n fail_v way_n in_o the_o index_n of_o a_o declinatory_n or_o in_o a_o square_a box_n with_o the_o 90_o degree_n of_o a_o quadrant_a on_o the_o two_o side_n or_o by_o a_o needle_n fit_v on_o the_o index_n of_o a_o quadrant_a after_o all_o which_o way_n you_o may_v have_v they_o at_o the_o sign_n of_o the_o sphere_n and_o sundial_n in_o the_o minory_n make_v by_o john_n brown_n but_o the_o work_n may_v be_v very_o ready_o and_o exact_o perform_v by_o the_o rule_n either_o by_o the_o sun_n or_o needle_n in_o this_o manner_n follow_v of_o which_o two_o way_n that_o by_o the_o sun_n be_v always_o the_o best_a and_o most_o exact_a and_o artificial_a and_o the_o other_o not_o to_o be_v use_v if_o i_o may_v advise_v but_o when_o the_o other_o fail_v by_o the_o sun_n not_o shine_v or_o as_o a_o proof_n or_o confirmation_n of_o the_o other_o and_o first_o by_o the_o needle_n because_o the_o easy_a for_o this_o purpose_n you_o must_v have_v a_o needle_n well_o touch_v with_o the_o loadstone_n of_o about_o three_o or_o four_o inch_n long_o and_o fit_v into_o a_o box_n somewhat_o broad_a than_o one_o of_o the_o leg_n of_o the_o sector_n with_o a_o lid_n to_o open_v and_o shut_v and_o on_o the_o inside_n of_o the_o lid_n may_v be_v draw_v a_o south_n erect_v dial_n and_o a_o wire_n to_o set_v the_o lid_n upright_o and_o a_o thread_n to_o be_v the_o gnomon_n or_o stile_n to_o that_o dial_n it_o will_v not_o be_v a_o miss_n also_o to_o extend_v the_o line_n on_o the_o horizontal_a part_n for_o the_o same_o thread_n be_v a_o stile_n for_o that_o also_o also_o on_o the_o bottom_n let_v there_o be_v a_o rabbit_n or_o grove_n make_v to_o fit_v the_o leg_n of_o the_o rule_n or_o sector_n so_o as_o be_v press_v into_o it_o it_o may_v not_o fall_v off_o from_o the_o rule_n if_o your_o hand_n shall_v shake_v or_o you_o cease_v to_o hold_v it_o there_o this_o be_v so_o fit_v the_o use_n follow_v in_o their_o order_n put_v your_o box_n and_o needle_n on_o that_o leg_n of_o the_o rule_n that_o will_v be_v most_o fit_a for_o your_o purpose_n and_o also_o the_o north_n end_n of_o the_o needle_n towards_o the_o wall_n if_o it_o be_v a_o south_n wall_n and_o the_o contrary_a if_o a_o north_n as_o the_o play_v of_o the_o needle_n will_v direct_v you_o better_a than_o the_o way_n how_o in_o a_o thousand_o word_n then_o open_a or_o close_o the_o rule_n till_o the_o needle_n play_v right_a over_o the_o north_n and_o south-line_n in_o the_o bottom_n of_o the_o box_n then_o the_o compliment_n of_o the_o angle_n that_o the_o sector_n stand_v at_o which_o may_v always_o be_v under_o 90_o degree_n be_v the_o declination_n of_o the_o plain_a but_o if_o it_o happen_v to_o stand_v at_o any_o angle_n above_o 90_o than_o the_o quantity_n thereof_o above_o 90_o be_v the_o declination_n of_o the_o wall_n to_o find_v the_o quantity_n of_o the_o angle_n the_o sector_n stand_v at_o may_v be_v do_v two_o way_n first_o by_o protraction_n by_o lay_v down_o the_o
divide_v it_o proceed_v to_o 12_o penny_n a_o pound_n but_o if_o you_o conceive_v the_o inch_n to_o be_v double_v and_o the_o foot_n measure_n also_o you_o shall_v have_v it_o to_o 24_o d._n or_o 48_o d._n the_o pound_n or_o one_o in_o tale_n of_o any_o commodity_n as_o at_o 18_o d._n a_o piece_n or_o pound_n the_o price_n come_v to_o 7l_o 10_n the_o c._n for_o then_o every_o ten_o stroke_n be_v 20_n in_o the_o foot_n measure_n and_o every_o inch_n be_v 2_o penny_n and_o every_o eight_o one_o farthing_n 2._o second_o for_o the_o buy_n of_o timber_n at_o 50_o foot_n to_o a_o load_n at_o any_o price_n the_o load_n how_o much_o a_o foot_n here_o in_o resolve_v this_o the_o inch_n be_v to_o be_v double_v and_o the_o foot_n measure_v take_v as_o it_o be_v as_o at_o 40_o shilling_n the_o load_n 40_o in_o the_o foot_n measure_n stand_v right_a against_o 4_o inch_n 3_o quarter_n and_o better_a which_o be_v double_v be_v 9d_o 2_o far_o 1_o 2_o far_a near_o for_o the_o price_n of_o one_o foot_n and_o on_o the_o contrary_a at_o 5d_o a_o foot_n be_v 41_n 8_o d._n a_o load_n etc._n etc._n 3._o for_o the_o great_a hundred_o of_o 112l_o to_o the_o hundred_o let_v the_o space_n of_o 12_o inch_n be_v divide_v into_o 112_o part_n than_o the_o like_a rule_n hold_v for_o that_o also_o for_o the_o inch_n be_v divide_v into_o quarter_n every_o quarter_n be_v a_o farthing_n and_o every_o eight_o half_a a_o farthing_n and_o every_o division_n of_o the_o 112_o be_v a_o shilling_n and_o every_o alteration_n of_o a_o farthing_n in_o the_o price_n of_o a_o pound_n make_v a_o groat_n in_o the_o hundred_o as_o thus_o at_o 3_o penny_n a_o pound_n be_v 28_n the_o c._n at_o 3d._n 1_o q._n a_o pound_n 30_n and_o 4d_n the_o c._n at_o 3d._n 1_o 2_o the_o pound_n 32_n 8_o d._n the_o c._n at_o 3_o d._n 3_o farthing_n 35_n the_o c._n thus_o you_o see_v that_o every_o fraction_n at_o a_o farthing_n advance_v be_v 4_o penny_n in_o the_o hundred_o but_o for_o any_o other_o account_n as_o 3_o penny_n farthing_n half_a farthing_n then_o count_v the_o fraction_n as_o 1_o 12_o part_n of_o a_o shilling_n and_o near_o you_o can_v come_v by_o a_o bare_a ocular_a inspection_n but_o the_o price_n of_o the_o hundred_o be_v give_v the_o price_n of_o the_o pound_n you_o have_v as_o near_o by_o this_o ocular_a inspection_n as_o any_o usual_a coin_n be_v reducable_a viz._n to_o the_o 32_o part_n of_o a_o penny_n or_o nigh_a if_o you_o please_v again_o note_v here_o also_o you_o may_v double_v or_o quadruple_a the_o price_n as_o to_o 24d_o or_o 48d_o the_o pound_n or_o any_o price_n between_o as_o for_o example_n at_o 13d_o a_o pound_n be_v 6l_o 1_n 4d_o the_o c._n at_o 32d_o or_o 2s_n 8d_n the_o pound_n be_v 14l_o 19_n the_o c._n and_o the_o like_a by_o duple_v and_o quadruple_v the_o inch_n and_o the_o 112_o part_n that_o lay_v by_o it_o 4._o these_o line_n of_o equal_a part_n serve_v as_o scale_n for_o the_o protract_n of_o any_o draught_n of_o house_n or_o field_n or_o the_o like_a also_o for_o addition_n or_o substraction_n of_o any_o small_a number_n 5._o note_v that_o the_o line_n of_o foot_n measure_n may_v be_v apply_v for_o the_o reduce_n of_o any_o odd_a fraction_n to_o a_o decimal_n fraction_n as_o you_o may_v fee_v it_o in_o page_n 64._o of_o mr._n windgat_n arithmetic_n make_v easy_a 2._o the_o use_n of_o the_o line_n of_o decimal_a timber_n and_o board_n measure_n the_o line_n of_o decimal_a timber_n and_o board_n measure_n be_v fit_v to_o agree_v with_o the_o ten_o or_o foot_n measure_n as_o those_o line_n in_o the_o first_o chapter_n of_o the_o carpenter_n rule_n be_v fit_v to_o the_o inch_n and_o the_o use_n of_o they_o be_v thus_o and_o first_o for_o the_o decimal_n board_n measure_n suppose_v a_o board_n be_v 1_o foot_n 50_o broad_a i_o look_v for_o 150_o on_o that_o line_n and_o from_o that_o place_n to_o the_o end_n of_o the_o rule_n forward_o towards_o 100_o so_o much_o in_o length_n must_v you_o have_v to_o make_v a_o foot_n of_o superficial_a or_o board_n measure_n 2._o or_o else_o thus_o if_o you_o apply_v the_o end_n of_o the_o rule_n next_o 100_o to_o one_o edge_n of_o the_o breadth_n of_o a_o board_n or_o glass_n then_o right_o against_o the_o other_o edge_n of_o the_o board_n on_o that_o line_n of_o decimal_a board_n measure_n you_o shall_v find_v the_o 10th_n and_o 100_n or_o foot_n 10th_n &_o 100_o part_v of_o a_o foot_n that_o you_o must_v have_v in_o length_n to_o make_v a_o foot_n superficial_a at_o that_o breadth_n example_n i_o come_v to_o a_o board_n and_o apply_v the_o upper_a end_n next_o 100_o even_o to_o one_o edge_n of_o the_o board_n the_o other_o reach_v to_o 0._o 8_o ten_o than_o i_o say_v that_o 8_o ten_o of_o a_o foot_n length_n at_o that_o breadth_n make_v a_o foot_n 3._o the_o use_n of_o decimal_a timber_n measure_n the_o use_n of_o this_o be_v much_o like_o the_o board_n measure_n only_o here_o you_o must_v have_v a_o respect_n to_o the_o squareness_n of_o the_o piece_n and_o not_o to_o the_o breadth_n only_o for_o after_o you_o know_v how_o much_o the_o piece_n of_o timber_n or_o stone_n be_v square_a in_o foot_n and_o 100_o part_n then_o look_v that_o number_n on_o the_o line_n of_o decimal_a timber_n measure_n and_o from_o thence_o to_o the_o end_n of_o the_o rule_n be_v the_o length_n that_o go_v to_o make_v a_o foot_n of_o timber_n example_n at_o 14_o or_o 1._o 40._o part_n of_o a_o foot_n square_a look_v the_o same_o on_o the_o rule_n and_o from_o thence_o to_o the_o end_n where_o 40_o be_v be_v the_o length_n of_o a_o foot_n of_o timber_n at_o that_o squareness_n be_v about_o 51_o part_n of_o a_o foot_n divide_v into_o a_o 100_o part_n 5._o the_o use_n of_o the_o line_n of_o decimal_a yard_n measure_n also_o run_v yard_n measure_n according_a to_o the_o inch_n or_o decimal_a part_n of_o a_o foot_n the_o decimal_a yard_n measure_n be_v nothing_o else_o but_o a_o yard_n or_o 3_o foot_n divide_v into_o a_o 100_o part_n and_o use_v in_o the_o same_o manner_n as_o the_o foot_n measure_n be_v for_o if_o you_o take_v the_o length_n and_o the_o breadth_n in_o that_o measure_n and_o multiply_v it_o together_o you_o shall_v have_v the_o content_n in_o yard_n and_o 100_o part_n of_o a_o yard_n example_n suppose_v a_o piece_n of_o plaster_v be_v 4_o yard_n 78_o part_n one_o way_n and_o 7._o 35_o part_n another_o way_n be_v multiply_v together_o make_v 35_o yard_n and_o 9954._o of_o 10000_o which_o be_v very_o near_o 36_o yard_n 5._o but_o the_o decimal_n run_v yard_n measure_n be_v fit_v to_o the_o foot_n measure_n and_o the_o use_n be_v thus_o suppose_v a_o room_n be_v to_o be_v measure_v that_o be_v 7_o foot_n 8_o ten_o high_a and_o i_o will_v know_v how_o much_o make_v a_o yard_n at_o that_o breadth_n or_o height_n look_v forth_o 7f_o 8_o 10th_n on_o the_o line_n of_o decimal_n run_v yard_n measure_n and_o the_o space_n on_o the_o rule_n from_o thence_o to_o the_o end_n next_o 100_o be_v the_o true_a length_n that_o go_v to_o make_v up_o a_o yard_n of_o superficial_a measure_n at_o that_o breadth_n or_o height_n but_o if_o the_o piece_n be_v between_o 4_o foot_n 5_o 10_o broad_a and_o 2_o foot_n than_o the_o table_n at_o the_o end_n of_o the_o line_n will_v supply_v the_o defect_n or_o you_o may_v change_v the_o term_n and_o call_v the_o length_n the_o breadth_n and_o the_o contrary_n but_o if_o it_o be_v under_o 2_o foot_n broad_a then_o if_o you_o do_v as_o you_o do_v with_o the_o board_n measure_n you_o shall_v have_v your_o desire_n example_n at_o 1_o foot_n 3_o 10_o broad_a 6_o foot_n 9_o 10th_n make_v a_o yard_n 6._o but_o if_o the_o run_a yard_n measure_n be_v make_v to_o agree_v with_o the_o inch_n then_o measure_v the_o height_n of_o the_o room_n in_o foot_n and_o inch_n and_o if_o you_o take_v a_o pair_n of_o compass_n and_o measure_n from_o that_o place_n to_o the_o end_n of_o the_o rule_n then_o turn_v the_o compass_n set_v at_o that_o distance_n as_o many_o time_n as_o you_o can_v about_o the_o room_n so_o many_o yard_n be_v there_o in_o the_o room_n 7._o the_o use_n of_o the_o line_n of_o decimal_n round_a measure_n common_o call_v girt-measure_n which_o be_v when_o the_o circumference_n of_o a_o round_a cillender_n or_o pillar_n give_v in_o inch_n or_o ten_o part_n of_o a_o foot_n first_o for_o girt-measure_n according_a to_o inch_n be_v the_o most_o usual_a measure_n now_o much_o the_o pillar_n be_v about_o then_o look_v for_o the_o same_o number_n on_o the_o line_n of_o girt-measure_n and_o from_o thence_o to_o
the_o end_n of_o the_o rule_n be_v the_o length_n that_o go_v to_o make_v a_o foot_n of_o timber_n but_o if_o it_o be_v under_o 30_o inch_n about_o than_o you_o must_v have_v above_o two_o foot_n in_o length_n and_o then_o a_o table_n at_o the_o end_n of_o the_o line_n or_o a_o repetition_n in_o another_o line_n will_v supply_v the_o defect_n but_o if_o the_o line_n of_o girt-measure_n be_v divide_v according_a to_o foot_n measure_n then_o use_v it_o as_o before_o seek_v the_o decimal_n part_n on_o the_o line_n and_o from_o thence_o to_o the_o end_n be_v a_o foot_n 8._o the_o use_n of_o a_o line_n of_o solid_a measure_n by_o have_v the_o diameter_n of_o a_o round_a piece_n give_v in_o inch_n or_o foot_n measure_n take_v the_o diameter_n with_o a_o rule_n or_o a_o pair_n of_o calliper_n and_o learn_v the_o measure_n either_o in_o inch_n or_o foot_n measure_n according_a as_o your_o line_n of_o diameter_n be_v divide_v then_o look_v for_o the_o same_o number_n on_o the_o line_n of_o diameter_n and_o from_o thence_o to_o the_o end_n of_o the_o rule_n forward_o be_v the_o length_n that_o make_v a_o foot_n of_o timber_n at_o that_o diameter_n or_o measure_v cross_v the_o end_n of_o the_o round_a piece_n of_o timber_n or_o stone_n the_o table_n of_o all_o the_o under_o measure_n for_o all_o these_o line_n follow_v decimal_n superficial_a under_o m._n  _fw-fr 10_o f._n 1000_o  _fw-fr 10_o f._n 1000_o p._n  _fw-fr 1_o 100_o 00_o  _fw-fr  _fw-fr 3._o 848_o  _fw-fr 2_o 50._o 000_o  _fw-fr  _fw-fr 3._o 706_o  _fw-fr 3_o 33._o 300_o  _fw-fr  _fw-fr 3._o 570_o  _fw-fr 4_o 25._o 000_o  _fw-fr  _fw-fr 3._o 450_o  _fw-fr 5_o 20._o 000_o 3_o 3_o 3._o 332_o  _fw-fr 6_o 16._o 600_o  _fw-fr  _fw-fr 3._o 217_o  _fw-fr 7_o 14._o 300_o  _fw-fr  _fw-fr 3._o 115_o  _fw-fr 8_o 12._o 500_o  _fw-fr  _fw-fr 3._o 025_o  _fw-fr 9_o 11._o 120_o  _fw-fr  _fw-fr 2._o 940_o 1_o 1_o 10._o 000_o  _fw-fr 5_o 2._o 850_o  _fw-fr 1_o 9_o 100_o  _fw-fr 6_o 2._o 780_o  _fw-fr 2_o 8._o 340_o  _fw-fr 7_o 2._o 700_o  _fw-fr 3_o 7._o 720_o  _fw-fr 8_o 2._o 628_o  _fw-fr 4_o 7._o 150_o  _fw-fr 9_o 2._o 560_o  _fw-fr 5_o 6._o 670_o  _fw-fr 4_o 2._o 500_o  _fw-fr 6_o 6._o â60_n  _fw-fr  _fw-fr â_o 440_o  _fw-fr 7_o 5._o 888_o  _fw-fr  _fw-fr 2._o 382_o  _fw-fr 8_o 5._o 5â5_n  _fw-fr  _fw-fr 2._o 336_o  _fw-fr 9_o 5._o 260_o  _fw-fr  _fw-fr 2._o 273_o 2_o 2_o 5._o 000_o  _fw-fr  _fw-fr 2._o 213_o  _fw-fr  _fw-fr 4._o 760_o  _fw-fr  _fw-fr 2._o 173_o  _fw-fr  _fw-fr 4._o 5â6_n  _fw-fr  _fw-fr 2._o 127_o  _fw-fr  _fw-fr 4._o 350_o  _fw-fr  _fw-fr â_o 083_o  _fw-fr  _fw-fr 4._o 170_o  _fw-fr  _fw-fr 2._o 042_o  _fw-fr 5_o 4_o 000_o  _fw-fr 5_o 2._o 000_o decimall_n superficial_a m._n  _fw-fr f._n 1000_o p._n 01_o f._n 1000_o p._n  _fw-fr 1._o 962_o  _fw-fr 1._o 320_o  _fw-fr 1._o 923_o  _fw-fr 1._o 304_o  _fw-fr 1._o 816_o  _fw-fr 1._o 286_o  _fw-fr 1._o 850_o  _fw-fr 1._o 268_o  _fw-fr 1._o 820_o 8_o 1._o 250_o  _fw-fr 1._o 785_o  _fw-fr 1._o 237_o  _fw-fr 1._o 756_o  _fw-fr 1._o 220_o  _fw-fr 1._o 726_o  _fw-fr 1._o 207_o  _fw-fr 1._o 697_o  _fw-fr 1._o 192_o 6_o 1._o 669_o  _fw-fr 1._o 178_o  _fw-fr 1._o 640_o  _fw-fr 1._o 164_o  _fw-fr 1._o 615_o  _fw-fr 1._o 151_o  _fw-fr 1._o 589_o  _fw-fr 1._o 138_o  _fw-fr 1._o 563_o  _fw-fr 1._o 125_o  _fw-fr 1._o 538_o 9_o 1._o 112_o  _fw-fr 1._o 516_o  _fw-fr 1._o 100_o  _fw-fr 1._o 493_o  _fw-fr 1._o 087_o  _fw-fr 1._o 472_o  _fw-fr 1._o 076_o  _fw-fr 1._o 450_o  _fw-fr 1._o 063_o 7_o 1._o 430_o  _fw-fr 1._o 052_o  _fw-fr 1._o 409_o  _fw-fr 1._o 041_o  _fw-fr 1._o 391_o  _fw-fr 1._o 030_o  _fw-fr 1._o 373_o  _fw-fr 1._o 020_o  _fw-fr 1._o 353_o  _fw-fr 1._o 011_o  _fw-fr 1._o 337_o 10_o 1._o 000_o decimal_n solid_a under_o measure_n  _fw-fr f._n 1000_o p._n 10_o f._n 1000_o p._n 1_o 10000_o 000_o  _fw-fr 14._o 805_o 2_o 2500._o 000_o  _fw-fr 13._o 735_o 3_o 1100._o 000_o  _fw-fr 12._o 780_o 4_o 630._o 000_o  _fw-fr 11._o 916_o 5_o 400._o 000_o 3_o 11._o 125_o 6_o 277._o 900_o  _fw-fr 10._o 415_o 7_o 200._o 430_o  _fw-fr 9_o 760_o 8_o 150._o 660_o  _fw-fr 9_o 125_o 9_o 120._o 350_o  _fw-fr 8._o 625_o 1_o 100_o 0000_o  _fw-fr 8._o 150_o  _fw-fr 82._o 800_o  _fw-fr 7._o 700_o  _fw-fr 96._o 500_o  _fw-fr 7._o 310_o  _fw-fr 59_o 390_o  _fw-fr 6._o 900_o  _fw-fr 51._o 100_o  _fw-fr 6._o 565_o  _fw-fr 44._o 500_o 4_o 6._o 250_o  _fw-fr 39_o 150_o  _fw-fr 5._o 945_o  _fw-fr 34._o 650_o  _fw-fr 5._o 664_o  _fw-fr 30._o 850_o  _fw-fr 5._o 404_o  _fw-fr 27._o 750_o  _fw-fr 5._o 465_o 2_o 25._o 000_o  _fw-fr 4._o 938_o  _fw-fr 22._o 700_o  _fw-fr 4._o 720_o  _fw-fr 20._o 675_o  _fw-fr 4._o 530_o  _fw-fr 18._o 920_o  _fw-fr 4._o 342_o  _fw-fr 17._o 400_o  _fw-fr 4._o 162_o  _fw-fr 16._o 000_o 5_o 4._o 000_o decimall_n solid_a under_o measure_n  _fw-fr f._n 1000_o p._n 01._o f._n 100_o p._n  _fw-fr 3._o 825_o  _fw-fr 1._o 738_o  _fw-fr 3._o 7â0_n  _fw-fr 1_o 694_o  _fw-fr 3._o 524_o  _fw-fr 1._o 651_o  _fw-fr 3._o 430_o  _fw-fr 1._o 608_o  _fw-fr 3._o 310_o 8_o 1._o 568_o  _fw-fr 3._o 188_o  _fw-fr 1._o 528_o  _fw-fr 3._o 078_o  _fw-fr 1._o 493_o  _fw-fr 2._o 968_o  _fw-fr 1._o 458_o  _fw-fr 2._o 873_o  _fw-fr 1._o 420_o 6_o 2._o 780_o  _fw-fr 1._o 390_o  _fw-fr 2._o 688_o  _fw-fr 1._o 356_o  _fw-fr 2._o 602_o  _fw-fr 1._o 323_o  _fw-fr 2._o 521_o  _fw-fr 1._o 297_o  _fw-fr 2._o 442_o  _fw-fr 1._o 266_o  _fw-fr 2._o 366_o 9_o 1._o 236_o  _fw-fr 2._o 294_o  _fw-fr 1._o 208_o  _fw-fr 2._o 227_o  _fw-fr 1._o 185_o  _fw-fr 2._o 160_o  _fw-fr 1._o 160_o  _fw-fr 2._o 100_o  _fw-fr 1._o 131_o  _fw-fr 2._o 043_o  _fw-fr 1._o 109_o 7_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr 1._o 985_o  _fw-fr 1._o 084_o  _fw-fr 1._o 93â_n  _fw-fr 1_o 061_o  _fw-fr 1._o 878_o  _fw-fr 1._o 041_o  _fw-fr 1._o 830_o  _fw-fr 1._o 021_o  _fw-fr 1._o 781_o 10._o 1._o 000_o under_o yard-measure_n for_o foot_n and_o inch_n from_o one_o inch'to_fw-la four_o foot_n six_o inch_n f._n f._n 1000_o f._n f._n 1000_o in._n  _fw-fr in._n  _fw-fr 1_o 108.000_o  _fw-fr 3._o 850_o 2_o 54._o 000_o  _fw-fr 3._o 720_o 3_o 36._o 000_o  _fw-fr 3._o 600_o 4_o 27._o 000_o 6_o 3._o 482_o 5_o 21._o 600_o  _fw-fr 3._o 373_o 6_o 18._o 000_o  _fw-fr 3._o 271_o 7_o 15._o 420_o  _fw-fr 3._o 175_o 8_o 13._o 520_o  _fw-fr 3._o 085_o 9_o 12._o 000_o 3_o 3._o 000_o 10_o 10._o 300_o  _fw-fr 2._o 922_o 11_o 9_o 820_o  _fw-fr 2._o 842_o 1._o 9_o 000_o  _fw-fr 2._o 769_o  _fw-fr 8._o 320_o  _fw-fr 2._o 710_o  _fw-fr 7._o 740_o  _fw-fr 2._o 633_o  _fw-fr 7._o 201_o 6_o 2._o 572_o  _fw-fr 6._o 760_o  _fw-fr 2._o 512_o  _fw-fr 6._o 350_o  _fw-fr 2._o 455_o 6_o 6._o 000_o  _fw-fr 2._o 400_o  _fw-fr 5._o 680_o  _fw-fr 2._o 345_o  _fw-fr 5._o 400_o  _fw-fr 2._o 298_o  _fw-fr 5._o 140_o 4_o 2._o 250_o  _fw-fr 4._o 906_o 1_o 2._o 203_o  _fw-fr 4._o 695_o 2_o 2._o 160_o 2_o 5._o 500_o 3_o 2._o 119_o  _fw-fr 4._o 320_o 4_o 2._o 073_o  _fw-fr 4._o 160_o 5_o 2._o 037_o  _fw-fr 4._o 000_o 9_o 2._o 000_o under_o yard_n measure_n according_a to_o decimal_n or_o foot_n measure_n f._n 10._o f._n 1000_o p._n  _fw-fr f._n 1000_o p._n 1_o 90._o 000_o 4_o 3._o 7â0_n 2_o 45._o 000_o 5_o 3._o 600_o 3_o 30._o 000_o 6_o 3._o 461_o 4_o 22._o 500_o 7_o 3._o 332_o 5_o 18._o 000_o 1_o 3._o 211_o 6_o 15._o 000_o 9_o 3._o 104_o 7_o 12._o 880_o 3_o 3._o 000_o 8_o 11._o 200_o 1_o 2._o 903_o 9_o 10._o 000_o 2_o 2._o 812_o 1_o 9_o 000_o 3_o 2._o 728_o 1_o 8._o 190_o 4_o 2._o 648_o 2_o 7._o 510_o 5_o 2._o 572_o 3_o 6._o 930_o 6_o 2._o 502_o 4_o 6._o 430_o 7_o 2._o 435_o 5_o 6._o 000_o 8_o 2._o 370_o 6_o 5._o 625_o 9_o 2._o 310_o 7_o 5._o 290_o 4_o 2._o 250_o 8_o 5._o 000_o 1_o 2._o 195_o 9_o 4._o 735_o 2_o 2._o 142_o 1_o 4._o 500_o 3_o 2._o 093_o 1_o 4._o 285_o 4_o 2._o 046_o 2_o 4._o 092_o 5_o 2._o 000_o 3_o 3912_o  _fw-fr  _fw-fr under_o girt-measure_n inc._n about_o f._n in_o 100_o  _fw-fr f._n in_o 100_o 1_o 1809.6.81_o 24_o 3.1.87_o 2_o 452._o 4._o 74_o 25_o 2._o 10._o 74_o 3_o 201._o 0._o 77_o 26_o 2._o 8._o 12_o 4_o 113._o 1._o 18_o 27_o 2._o 5._o 87_o 5_o 72._o 4._o 60_o 28_o 2._o 3._o 70_o 6_o 50._o 3._o 19_o 29_o 2._o 1._o 83_o 7_o 39_o 3._o 22_o 30_o 2._o 0._o 13_o 8_o 28._o 4._o 00_o 31_o 1._o 10._o 60_o 9_o 22._o 4._o 09_o 32_o 1._o 9_o 21_o 10_o 18._o 1._o 15_o 33_o 1._o 7_o 94_o 11_o 14._o 11._o 46_o 34_o 1._o 6._o 78_o 12_o 12._o 6._o 80_o 35_o 1._o