the_o column_n title_v part_n of_o a_o perch_n and_o right_a against_o it_o you_o will_v find_v 5_o foot_n so_o i_o say_v that_o 500_o foot_n be_v 30_o perch_n 5_o foot_n again_o i_o will_v know_v how_o many_o chain_n and_o link_n there_o be_v in_o 15045_o foot_n first_o seek_v for_o 10000_o and_o write_v down_o the_o chain_n link_n and_o part_n of_o a_o link_n contain_v therein_o do_v the_o like_a by_o 5000_o also_o by_o 40_o and_o 5._o last_o add_v they_o together_o you_o have_v your_o desire_n foot_n chain_n link_n part_v 10000_o 151_o 51_o 515_o 5000_o 75_o 75_o 757_o 40_o 0_o 60_o 606_o 5_o 0_o 7_o 575_o add_v make_v 227_o 95_o 453_o answer_n 227_o chain_n 95_o link_n be_v contain_v in_o 15045_o foot_n one_o example_n more_o and_o i_o have_v do_v with_o this_o table_n how_o many_o perch_n do_v 10573_o foot_n make_v foot_n perch_n part_n 10000_o 606_o 060_o 500_o 30_o 303_o 70_o 4_o 242_o 3_o 0_o 181_o add_v 640_o 786_o the_o answer_n be_v 640_o perch_n and_o 786_o 786_o 1000_o of_o a_o perch_n or_o 13_o foot_n i_o have_v forget_v to_o tell_v you_o what_o a_o furlong_n be_v it_o be_v 40_o perch_n in_o length_n 8_o furlong_n make_v 1_o mile_n and_o so_o much_o of_o long_a measure_n i_o shall_v now_o proceed_v to_o square_a measure_n planometry_n or_o the_o measure_n the_o superficies_n or_o plane_n of_o thing_n as_o sir_n ionas_n moor_n say_v be_v do_v with_o the_o square_n of_o such_o measure_n as_o a_o square_a foot_n a_o square_a perch_n or_o chain_n that_o be_v to_o say_v by_o square_n who_o side_n be_v a_o foot_n a_o perch_n or_o chain_n and_o the_o content_a of_o any_o superficies_n be_v say_v to_o be_v find_v when_o we_o know_v how_o many_o such_o square_n it_o contain_v but_o before_o we_o go_v any_o far_a take_v this_o table_n follow_v of_o square_a measure_n a_o table_n of_o square_a measure_n  _fw-fr inch_n  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr inch_n 1_o link_n  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr link_n 62.726_o 1_o foot_n  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr foot_n 144_o 2.295_o 1_o yard_n  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr yard_n 1296_o 20.755_o 9_o 1_o pace_v  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr pace_n 3600_o 57.381_o 25_o 2.778_o 1_o perch_n  _fw-fr  _fw-fr  _fw-fr  _fw-fr perch_n 39204_o 625_o 272.25_o 30.25_o 10.89_o 1_o chain_n  _fw-fr  _fw-fr  _fw-fr chain_n 627264_o 10000_o 4356_o 484_o 174.24_o 16_o 1_o acre_n  _fw-fr  _fw-fr acre_n 6272640_o 100000_o 43560_o 4840_o 1742.4_o 160_o 10_o 1_o mile_n  _fw-fr mile_n 4014489600_o 64000000_o 27878400_o 3097600_o 1115136_o 102400_o 6400_o 640_o 1_o mile_n this_o table_n be_v like_o the_o former_a of_o long_a measure_n and_o the_o use_n of_o it_o be_v the_o same_o example_n if_o you_o will_v know_v how_o many_o square_a foot_n be_v contain_v in_o one_o chain_n look_v for_o foot_n at_o top_n and_o chain_n on_o the_o side_n and_o in_o the_o common_a angle_n of_o meeting_n stand_v 4356_o so_o many_o square_a foot_n be_v contain_v in_o one_o square_a chain_n the_o common_a measure_n for_o land_n be_v the_o acre_n which_o by_o statute_n be_v appoint_v to_o contain_v 160_o square_a perch_n and_o it_o matter_n not_o in_o what_o form_n the_o acre_n lie_v in_o so_o it_o contain_v just_a 160_o square_a perch_n as_o in_o a_o parallelogram_n 10_o perch_n one_o way_n and_o 16_o another_o contain_v a_o acre_n so_o do_v 8_o one_o way_n and_o 20_o another_o and_z 4_o one_o way_n and_o 40_o the_o other_o if_o then_o have_v one_o side_n give_v in_o perch_n you_o will_v know_v how_o far_o you_o must_v go_v on_o the_o perpendicular_a to_o cut_v off_o a_o acre_n you_o must_v divide_v 160_o the_o number_n of_o square_a perch_n in_o a_o acre_n by_o the_o give_v side_n the_o quotient_n be_v your_o desire_n as_o for_o example_n the_o give_v side_n be_v 20_o perch_n divide_v 160_o by_o 20_o the_o quotient_n be_v 8_o by_o that_o i_o know_v that_o 20_o perch_n one_o way_n and_z 8_o another_z including_z a_o right_a angle_n will_v be_v the_o two_o side_n of_o a_o acre_n the_o other_o two_o side_n must_v be_v parallel_n to_o these_o and_o here_o i_o think_v it_o convenient_a to_o insert_v this_o necessary_a table_n show_v the_o length_n and_o breadth_n of_o a_o acre_n in_o perch_n foot_n and_o part_n of_o a_o foot_n but_o if_o your_o give_a side_n have_v be_v in_o any_o other_o sort_n of_o measure_n as_o for_o instance_n in_o yard_n you_o must_v then_o have_v see_v how_o many_o square_a yard_n have_v be_v in_o a_o acre_n and_o that_o sum_v you_o must_v have_v divide_v by_o the_o number_n of_o your_o give_a yard_n the_o quotient_n will_v have_v answer_v the_o question_n example_n if_o 44_o yard_n be_v give_v for_o the_o breadth_n how_o many_o yard_n shall_v there_o be_v in_o length_n of_o the_o acre_n breadth_n length_n of_o a_o acre_n perch_v perch_n foot_n 10_o 16_o 0_o 11_o 14_o 9_o 12_o 13_o 5_o ½_n 13_o 12_o 5_o 1_o 1_o 12_o 14_o 11_o 7_o 1_o 1_o 12_o 15_o 10_o 11_o 16_o 10_o 0_o 17_o 9_o 6_o 9_o 9_o 12_o 18_o 8_o 14_o 8_o 8_o 12_o 19_o 8_o 6_o 11_o 11_o 12_o 20_o 8_o 0_o 21_o 7_o 10_o 2_o 2_o 12_o 22_o 7_o 4_o ½_n 23_o 6_o 15_o ¾_n 24_o 6_o 11_o 25_o 6_o 6_o 7_o 7_o 12_o 26_o 6_o 2_o 15_o 15_o 25_o 27_o 5_o 15_o ½_n 28_o 5_o 11_o ¾_n 29_o 5_o 8_o 13_o 13_o 14_o 30_o 5_o 5_o ½_n 31_o 5_o 2_o ⅔_n 32_o 5_o 0_o 33_o 4_o 14_o 34_o 4_o 11_o ⅔_n 35_o 4_o 9_o 5_o 5_o 12_o 36_o 4_o 5_o ⅔_n 37_o 4_o 5_o ⅔_n 38_o 4_o 3_o ½_n 39_o 4_o 1_o ⅔_n 40_o 4_o 0_o 41_o 3_o 14_o 22_o 22_o 24_o 42_o 3_o 13_o ⅓_n 43_o 3_o 11_o 21_o 21_o 24_o 44_o 3_o 10_o ½_n 45_o 3_o 9_o ⅙_n first_o i_o find_v that_o a_o acre_n contain_v 4840_o square_a yard_n which_o i_o divide_v by_o 44_o the_o quotient_n be_v 110_o for_o the_o length_n of_o the_o acre_n and_o thus_o know_v well_o how_o to_o take_v the_o length_n and_o breadth_n of_o one_o acre_n you_o may_v also_o by_o the_o same_o way_n know_v how_o to_o lay_v down_o any_o number_n of_o acre_n together_o of_o which_o more_o anon_o reduce_v of_o one_o sort_n of_o square_a measure_n to_o another_o be_v do_v as_o before_o teach_v in_o long_a measure_n by_o multiplication_n and_o division_n and_o because_o mr._n gunter_n chain_n be_v chief_o use_v by_o surveyor_n i_o shall_v only_o instance_n in_o that_o and_o show_v you_o how_o to_o turn_v any_o number_n of_o chain_n and_o link_n into_o acre_n rood_n and_o perch_n note_v that_o a_o rood_n be_v the_o four_o part_n of_o a_o acre_n and_o first_o mark_n well_o that_o 10_o square_a chain_n make_v one_o acre_n that_o be_v to_o say_v 1_o chain_n in_o breadth_n and_o 10_o in_o length_n or_o 2_o in_o breadth_n and_o 5_o in_o length_n be_v a_o acre_n as_o you_o may_v see_v by_o this_o small_a table_n chain_n chain_n link_n part_n of_o a_o link_n length_n of_o a_o acre_n 1_o breadth_n of_o a_o acre_n 10_o 00_o  _fw-fr 2_o 5_o 00_o  _fw-fr 3_o 3_o 33_o 333_o 4_o 2_o 50_o  _fw-fr 5_o 2_o 00_o  _fw-fr 6_o 1_o 66_o 666_o 7_o 1_o 42_o 285_o 8_o 1_o 25_o  _fw-fr 9_o 1_o 11_o 111_o and_o thus_o well_o weigh_v that_o 10_o chain_n make_v one_o acre_n if_o any_o number_n of_o chain_n be_v give_v you_o to_o turn_v into_o acre_n you_o must_v divide_v they_o by_o 10_o and_o the_o quotient_n will_v be_v the_o number_n of_o acre_n contain_v in_o so_o many_o chain_n but_o this_o division_n be_v abbreviate_v by_o only_o cut_v off_o the_o last_o figure_n as_o if_o 1590._o chain_n be_v give_v to_o turn_v into_o acre_n by_o cut_v off_o the_o last_o figure_n 1590._o there_o be_v leave_v 159_o acre_n which_o be_v all_o one_o as_o if_o you_o have_v divide_v 1590._o by_o 10._o but_o if_o chain_n and_o link_n be_v give_v you_o together_o to_o turn_v into_o acre_n rood_n and_o perch_n first_o from_o the_o give_v sum_n cut_v off_o three_o figure_n which_o be_v two_o figure_n for_o the_o link_n and_o one_o for_o the_o chain_n what_o be_v leave_v shall_v be_v acre_n and_o to_o know_v how_o many_o rood_n and_o perch_n be_v contain_v in_o the_o figure_n cut_v off_o multiply_v they_o by_o 4_o from_o the_o product_n cut_v off_o the_o three_o last_o figure_n you_o will_v have_v the_o rood_n and_o then_o to_o know_v the_o perch_n multiply_v the_o figure_n cut_v off_o from_o the_o rood_n by_o 40_o from_o which_o product_n cut_v off_o again_o three_o figure_n you_o have_v the_o perch_n and_o the_o figure_n cut_v off_o be_v thousand_o part_n of_o a_o perch_n
example_n 1599_o square_a chain_n and_o 55_o square_a link_n how_o many_o acre_n rood_n and_o perch_n  _fw-fr acres_n 159955_o  _fw-fr  _fw-fr 4_o answer_v 159_o acre_n 3_o rood_n 32_o 8_o 8_o 10._o  _fw-fr  _fw-fr  _fw-fr rood_v 3620_o  _fw-fr  _fw-fr 40_o  _fw-fr perch_v 24800_o on_o the_o contrary_a if_o to_o any_o number_n of_o acre_n give_v you_o add_v a_o cypher_n they_o will_v be_v turn_v into_o chain_n thus_o 99_o acre_n be_v 990_o chain_n 100_o acre_n 1000_o chain_n etc._n etc._n the_o same_o as_o if_o you_o have_v multiply_v the_o acre_n by_o 10._o and_o if_o you_o will_v turn_v square_a chain_n into_o square_a link_n add_v four_o cipher_n to_o the_o end_n of_o the_o chain_n so_o will_v 990_o chain_n be_v 9900000_o link_n 1000_o chain_n 10000000_o link_n all_o one_o as_o if_o you_o have_v multiply_v 990_o by_o 10000_o the_o number_n of_o square_a link_n contain_v in_o one_o chain_n and_o now_o whereas_o in_o cast_v up_o the_o content_a of_o a_o piece_n of_o land_n measure_v by_o mr._n gunter_n chain_n viz._n multiply_a chain_n and_o link_n by_o chain_n and_o link_n the_o product_n will_v be_v square_a link_n you_o must_v therefore_o from_o that_o product_n cut_v off_o five_o figure_n to_o find_v the_o acre_n which_o be_v the_o same_o as_o if_o you_o divide_v the_o product_n by_o 100000_o the_o number_n of_o square_a link_n contain_v in_o one_o acre_n then_o multiply_v the_o five_o figure_n cut_v off_o by_o 4_o and_o from_o that_o product_n cut_v off_o five_o figure_n you_o will_v have_v the_o rood_n last_o multiply_v by_o 40_o and_o take_v away_o as_o before_o 5_o figure_n the_o rest_n be_v perch_n example_n admit_v a_o parallelogram_n or_o long_o square_a to_o be_v one_o way_n 5_o chain_n 55_o link_n and_o the_o other_o way_n 4_o chain_n 35_o link_n i_o demand_v the_o content_a in_o acre_n rood_n and_o perch_n  _fw-fr multiplicand_n 555_o  _fw-fr multiplicator_n 435_o  _fw-fr  _fw-fr 2775_o  _fw-fr  _fw-fr 1665_o  _fw-fr  _fw-fr 2220_o answer_n 2_o acre_n acre_n 241425_o  _fw-fr  _fw-fr 4_o 1_o rood_n rood_v 165700_o  _fw-fr  _fw-fr 40_o 26_o perch_n perch_v 2628000_o and_o 28_o 28_o 100_o part_n of_o a_o perch_n  _fw-fr  _fw-fr last_o because_o some_o man_n choose_v rather_o to_o cast_v up_o the_o content_a of_o land_n in_o perch_n i_o will_v here_o brief_o show_v you_o how_o it_o be_v do_v which_o be_v only_o by_o divide_v by_o 160_o the_o number_n of_o square_n perch_v contain_v in_o one_o acre_n the_o number_n of_o perch_n give_v example_n admit_v a_o parallelogram_n to_o be_v in_o length_n 55_o perch_n and_o in_o breadth_n 45_o perch_n these_o two_o multiply_v together_o make_v 2475_o perch_n which_o to_o turn_v into_o acre_n divide_v by_o 160_o the_o quotient_n be_v 15_o acre_n and_o 75_o perch_n remain_v which_o to_o turn_v into_o rood_n divide_v by_o 40_o the_o quotient_n be_v 1_o rood_n and_o 35_o perch_n remain_v so_o much_o be_v the_o content_a of_o such_o a_o piece_n of_o land_n viz._n 15_o acre_n 1_o rood_n and_o 35_o perch_n here_o follow_v a_o table_n to_o turn_v perch_n into_o acre_n rood_n and_o perch_n perch_v acres_n rood_v perch_n 40_o 0_o 1_o 00_o 50_o 0_o 1_o 10_o 60_o 0_o 1_o 20_o 70_o 0_o 1_o 30_o 80_o 0_o 2_o 00_o 90_o 0_o 2_o 10_o 100_o 0_o 2_o 20_o 200_o 1_o 1_o 00_o 300_o 1_o 3_o 20_o 400_o 2_o 2_o 00_o 500_o 3_o 0_o 20_o 600_o 3_o 3_o 00_o 700_o 4_o 1_o 20_o 800_o 5_o 0_o 00_o 900_o 5_o 2_o 20_o 1000_o 6_o 1_o 00_o 2000_o 12_o 2_o 00_o 3000_o 18_o 3_o 00_o 4000_o 25_o 0_o 00_o 5000_o 31_o 1_o 00_o 6000_o 37_o 2_o 00_o 7000_o 43_o 3_o 00_o 8000_o 50_o 0_o 00_o 9000_o 56_o 1_o 00_o 10000_o 62_o 2_o 00_o 20000_o 125_o 0_o 00_o 30000_o 187_o 2_o 00_o 40000_o 250_o 0_o 00_o 50000_o 312_o 2_o 00_o 60000_o 375_o 0_o 00_o 70000_o 437_o 2_o 00_o 80000_o 500_o 0_o 00_o 90000_o 562_o 2_o 00_o 100000_o 625_o 0_o 00_o the_o use_n of_o this_o table_n in_o 2475_o perch_n how_o many_o acre_n rood_n and_o perch_n perch_n acres_n rood_n perch_n 2000_o 12_o 2_o 00_o 400_o 2_o 2_o 00_o 70_o 0_o 1_o 30_o to_o which_o add_v the_o odd_a 5_o perch_n 0_o 0_o 05_o answer_n 15_o 1_o 35_o chap._n v._o of_o instrument_n and_o their_o use_n and_o first_o of_o the_o chain_n there_o be_v several_a sort_n of_o chain_n as_o mr._n rathborne_n of_o two_o perch_n long_o other_o of_o one_o perch_n long_o some_o have_v have_v they_o 100_o foot_n in_o length_n but_o that_o which_o be_v most_o in_o use_n among_o surveyor_n as_o be_v indeed_o the_o best_a be_v mr._n gunter_n which_o be_v 4_o pole_n long_o contain_v 100_o link_n each_o link_n be_v 7_o 92_o 92_o 100_o inch_n the_o description_n of_o which_o chain_n and_o how_o to_o reduce_v it_o into_o any_o other_o measure_n you_o have_v at_o large_a in_o the_o forego_n chapter_n of_o measure_n in_o this_o place_n i_o shall_v only_o give_v you_o some_o few_o direction_n for_o the_o use_n of_o it_o in_o measure_v line_n take_v care_n that_o they_o which_o carry_v the_o chain_n deviate_v not_o from_o a_o straight_a line_n which_o you_o may_v do_v by_o stand_v at_o your_o instrument_n and_o look_v through_o the_o sight_n if_o you_o see_v they_o between_o you_o and_o the_o mark_v observe_v they_o be_v in_o a_o straight_a line_n otherwise_o not_o but_o without_o all_o this_o trouble_n they_o may_v carry_v the_o chain_n true_a enough_o if_o he_o that_o follow_v the_o chain_n always_o cause_v he_o that_o go_v before_o to_o be_v in_o a_o direct_a line_n between_o himself_o and_o the_o place_n they_o be_v go_v to_o so_o as_o that_o the_o foreman_n may_v always_o cover_v the_o mark_n from_o he_o that_o go_v behind_o if_o they_o swerve_v from_o the_o line_n they_o will_v make_v it_o long_o than_o real_o it_o be_v a_o straight_a line_n be_v the_o near_a distance_n that_o can_v be_v between_o any_o two_o place_n besure_n that_o they_o which_o carry_v the_o chain_n mistake_v not_o a_o chain_n either_o over_o or_o under_o in_o their_o account_n for_o if_o they_o shall_v the_o error_n will_v be_v very_o considerable_a as_o suppose_v you_o be_v to_o measure_v a_o field_n that_o you_o know_v to_o be_v exact_o square_a and_o therefore_o need_v measure_n but_o one_o side_n of_o it_o if_o the_o chain-carrier_n shall_v mistake_v but_o one_o chain_n and_o tell_v you_o the_o side_n be_v but_o 9_o chain_n when_o it_o be_v real_o 10_o you_o will_v make_v of_o the_o field_n but_o 8_o acre_n and_o 16_o perch_n when_o it_o shall_v be_v 10_o acre_n just_a and_o if_o in_o so_o small_a a_o line_n such_o a_o great_a error_n may_v arise_v what_o may_v be_v in_o a_o great_a you_o may_v easy_o imagine_v but_o the_o usual_a way_n to_o prevent_v such_o mistake_v be_v to_o be_v provide_v with_o 10_o small_a stick_n sharp_a at_o one_o end_v to_o stick_v into_o the_o ground_n and_o let_v he_o that_o go_v before_o take_v all_o into_o his_o hand_n at_o set_v out_o and_o at_o the_o end_n of_o every_o chain_n stick_v down_o one_o which_o let_v he_o that_o follow_v take_v up_o when_o the_o 10_o stick_n be_v do_v be_v sure_a they_o have_v go_v 10_o chain_n then_o if_o the_o line_n be_v long_o let_v they_o change_v the_o stick_n and_o proceed_v as_o before_o keep_v in_o memory_n how_o often_o they_o change_v they_o may_v either_o change_n at_o the_o end_n of_o 10_o chain_n than_o the_o hindmost_a man_n must_v give_v the_o foremost_a all_o his_o stick_n or_o which_o be_v better_o at_o the_o end_n of_o 11_o chain_n and_o then_o the_o last_o man_n must_v give_v the_o first_o but_o 9_o stick_n keep_v one_o to_o himself_o at_o every_o change_n count_v the_o stick_n for_o fear_v lest_o you_o have_v drop_v one_o which_o sometime_o happen_v if_o you_o find_v the_o chain_n too_o long_o for_o your_o use_n as_o for_o some_o land_n it_o be_v especial_o in_o america_n you_o may_v then_o take_v the_o half_a of_o the_o chain_n and_o measure_n as_o before_o remember_v still_o when_o you_o put_v down_o the_o line_n in_o your_o field_n book_n that_o you_o set_v down_o but_o the_o half_a of_o the_o chain_n and_o the_o odd_a link_n as_o if_o a_o 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the_o content_a of_o the_o plot_n which_o do_v argue_v thus_o as_o the_o content_a find_v be_v to_o the_o square_n of_o the_o scale_n i_o try_v by_o so_o be_v the_o true_a content_a to_o the_o square_n of_o the_o true_a scale_n it_o be_v plot_v by_o admit_v there_o be_v a_o plot_n of_o a_o piece_n of_o land_n contain_v 10_o acre_n and_o i_o measure_v it_o by_o the_o scale_n of_o 11_o in_o a_o inch_n find_v it_o to_o contain_v 12_o acre_n 1_o 1_o 10_o of_o a_o acre_n then_o i_o say_v if_o 12_o 2_o 2_o 10_o give_v for_o its_o scale_n 11_o what_o shall_v 100_o give_v answer_v 10._o therefore_o i_o conclude_v that_o plot_n to_o be_v make_v by_o a_o scale_n of_o 10_o in_o the_o inch._n and_o so_o much_o concern_v reduce_v land_n chap._n x._o instruction_n for_o survey_v a_o manor_n county_n or_o whole_a country_n to_o survey_v a_o manor_n observe_v these_o follow_a rule_n 1._o walk_v or_o ride_v over_o the_o manor_n once_o or_o twice_o that_o you_o may_v have_v as_o it_o be_v a_o map_n of_o it_o in_o your_o head_n by_o which_o mean_n you_o may_v the_o better_a know_v where_o to_o begin_v and_o proceed_v on_o with_o your_o work._n 2._o if_o you_o can_v convenient_o run_v round_o the_o whole_a manor_n with_o your_o chain_n and_o instrument_n take_v all_o the_o angle_n and_o measure_v all_o the_o line_n thereof_o take_v notice_n of_o roads_n lane_n or_o commons_o as_o you_o cross_v they_o also_o mind_v well_o the_o end_n of_o all_o divide_v hedge_n where_o they_o butt_v upon_o your_o bind_a hedge_n in_o this_o manner_n 3._o take_v a_o true_a draught_n of_o all_o the_o road_n and_o by-lane_n in_o the_o manor_n put_v down_o also_o the_o true_a butting_n of_o all_o the_o field-fence_n to_o the_o road._n if_o the_o road_n be_v broad_a or_o go_v through_o some_o common_a or_o be_v ground_n the_o best_a way_n be_v to_o measure_v and_o take_v the_o angle_n on_o both_o side_n thereof_o but_o if_o it_o be_v a_o narrow_a lane_n you_o may_v only_o measure_v along_o the_o midst_n thereof_o take_v the_o angle_n and_o off-sets_a to_o the_o hedge_n and_o measure_v your_o distance_n true_o also_o if_o there_o be_v any_o considerable_a river_n either_o bound_n or_o run_v through_o the_o manor_n survey_v that_o also_o true_o as_o be_v hereafter_o teach_v 4._o make_v a_o true_a plot_n upon_o paper_n of_o all_o the_o forego_n work_v and_o then_o will_v you_o have_v a_o resemblance_n of_o the_o manor_n though_o not_o complete_a which_o to_o make_v so_o go_v to_o all_o the_o butting_n of_o the_o hedge_n and_o there_o survey_v every_o field_n distinct_o plot_v it_o according_o every_a night_n or_o rather_o twice_o a_o day_n till_o you_o have_v perfect_v the_o whole_a manor_n 5._o when_o thus_o you_o have_v plot_v all_o the_o field_n according_a to_o the_o butting_n of_o the_o hedge_n find_v in_o your_o first_o survey_v you_o will_v find_v that_o you_o have_v very_o nigh_o if_o not_o quite_o do_v the_o whole_a work_n but_o if_o there_o be_v any_o field_n lie_v so_o within_o other_o that_o they_o be_v not_o bound_v on_o either_o side_n by_o a_o road_n lane_n nor_o river_n than_o you_o must_v also_o survey_v they_o and_o place_v they_o in_o your_o plot_n according_o as_o they_o be_v bound_v by_o other_o field_n 6._o draw_v a_o fair_a draught_n of_o the_o whole_a put_v down_o therein_o the_o manor-house_n and_o every_o other_o considerable_a house_n wind-mill_n water-mill_n bridg_n wood_n coppice_n cross-path_n rill_n run_v of_o water_n pond_n and_o any_o other_o matter_n notable_a therein_o also_o in_o the_o fair_a draught_n let_v the_o arm_n of_o the_o lord_n of_o the_o manor_n be_v fair_o draw_v and_o a_o compass_n in_o some_o waste_a part_n of_o the_o paper_n also_o a_o scale_n the_o same_o by_o which_o it_o be_v plot_v you_o must_v also_o beautify_v such_o a_o draught_n with_o colour_n and_o cut_n according_a as_o you_o shall_v see_v convenient_a write_v down_o also_o in_o every_o field_n the_o true_a content_a thereof_o and_o if_o it_o be_v require_v the_o name_n of_o the_o present_a possessor_n and_o their_o tenor_n by_o which_o they_o hold_v it_o of_o the_o lord_n of_o the_o manor_n the_o quality_n also_o of_o the_o land_n you_o may_v take_v notice_n of_o as_o you_o pass_v over_o it_o if_o you_o have_v judgement_n therein_o and_o it_o be_v require_v of_o you_o how_o to_o take_v the_o draught_n of_o a_o county_n or_o country_n 1._o if_o the_o county_n or_o country_n be_v in_o any_o place_n thereof_o bound_v with_o the_o sea_n survey_v first_o the_o seacoast_n thereof_o measure_v it_o all_o along_o with_o the_o chain_n and_o take_v all_o the_o angle_n thereof_o true_o 2._o which_o do_v
how_o to_o cast_v up_o the_o content_n of_o any_o plot_n of_o land_n how_o to_o lay_v out_o new_a land_n how_o to_o survey_v a_o manor_n county_n or_o country_n also_o how_o to_o reduce_v divide_v land_n cum_fw-la multis_fw-la aliis_fw-la the_o twelve_o chapter_n consist_v whole_o of_o trigonometry_n the_o thirteen_o chapter_n be_v of_o height_n and_o distance_n include_v among_o other_o thing_n how_o to_o make_v a_o map_n of_o a_o river_n or_o harbour_n also_o how_o to_o convey_v water_n from_o a_o springhead_n to_o any_o appoint_a place_n or_o the_o like_a last_o at_o the_o end_n of_o the_o book_n i_o have_v a_o table_n of_o northing_n or_o sothe_v ea_v or_o westing_n or_o if_o you_o please_v to_o call_v it_o so_o a_o table_n of_o difference_n of_o latitude_n and_o departure_n from_o the_o meridian_n with_o direction_n for_o the_o use_v thereof_o also_o a_o table_n of_o sines_n and_o tangent_n and_o a_o table_n of_o logarithm_n i_o have_v take_v example_n from_o mr._n holwell_n to_o make_v the_o table_n of_o sines_n and_o tangent_n but_o to_o every_o five_o minute_n that_o be_v nigh_o enough_o in_o all_o sense_n and_o reason_n for_o the_o surveyor_n use_n for_o there_o be_v no_o man_n with_o the_o best_a instrument_n that_o be_v ever_o yet_o make_v can_v take_v a_o angle_n in_o the_o field_n nigh_o if_o so_o nigh_o as_o to_o five_o minute_n all_o which_o i_o commend_v to_o the_o ingenious_a reader_n wish_v he_o may_v find_v benefit_n thereby_o and_o desire_v his_o favourable_a reception_n thereof_o according_o i_o conclude_v reader_n your_o humble_a servant_n j._n l._n advertisement_n such_o person_n as_o have_v occasion_n for_o the_o instrument_n mention_v in_o this_o book_n or_o any_o other_o mathematical_a instrument_n whatsoever_o may_v be_v furnish_v with_o the_o same_o at_o reasonable_a rate_n by_o john_n worgan_n instrument-maker_n at_o his_o shop_n under_o the_o dial_n of_o st._n dunstan_n church_n in_o fleestreet_n london_n the_o content_n chap._n i._n of_o arithmetic_n in_o general_a page_n 1_o how_o to_o extract_n the_o square-root_n by_o vulgar_a arithmetic_n page_n 2_o how_o to_o extract_n the_o square-root_n by_o the_o logarithm_n page_n 7_o chap._n ii_o geometrical_a definition_n show_v what_o be_v mean_v by_o a_o point_n page_n 9_o a_o line_n ibid._n a_o angle_n ibid._n a_o perpendicular_a page_n 10_o a_o triangle_n page_n 11_o a_o square_a page_n 12_o a_o parallelogram_n ibid._n a_o rhombus_fw-la and_o rhomboide_v ibid._n a_o trapezia_n ibid._n a_o irregular_a figure_n page_n 13_o a_o regular_a polygon_n as_o pentagon_n hexagon_n etc._n etc._n page_n 14_o a_o circle_n with_o what_o thereto_o belong_v ibid._n a_o superficies_n page_n 15_o parallel-line_n page_n 16_o diagonal-line_n ibid._n chap._n iii_o geometrical_a problem_n 1._o how_o to_o make_v a_o line_n perpendicular_a to_o another_o two_o way_n page_n 17_o 2._o how_o to_o raise_v a_o perpendicular_a upon_o the_o end_n of_o a_o line_n two_o way_n page_n 18_o 3._o how_o from_o a_o point_n assign_v to_o let_v fall_v a_o perpendicular_a upon_o a_o line_n give_v page_n 20_o 4._o how_o to_o divide_v a_o line_n into_o any_o number_n of_o equal_a part_n page_n 21_o 5._o how_o to_o make_v a_o angle_n equal_a to_o any_o other_o angle_n give_v page_n 22_o 6._o how_o to_o make_v line_n parallel_v to_o each_o other_o page_n 23_o 7._o how_o to_o make_v a_o line_n parallel_n to_o another_o line_n which_o must_v also_o pass_v through_o a_o point_n assign_v page_n 24_o 8._o three_o line_n be_v give_v how_o to_o make_v thereof_o a_o triangle_n ibid._n 9_o how_o to_o make_v a_o triangle_n equal_a to_o a_o triangle_n give_v page_n 25_o 10._o how_o to_o make_v a_o square_a figure_n page_n 26_o 11._o how_o to_o make_v a_o long_a square_n or_o parallelogram_n ibid._n 12._o how_o to_o make_v a_o rhomub_n or_o rhomboide_v page_n 27_o 13._o to_o make_v regular_a polygon_n as_o pentagon_n hexagon_n heptagon_n etc._n etc._n page_n 28_o 14._o three_o point_n be_v give_v how_o to_o make_v a_o circle_n who_o circumference_n shall_v pass_v through_o the_o three_o give_v point_n page_n 32_o 15._o how_o to_o make_v a_o ellipsis_n or_o oval_a several_a way_n page_n 33_o 16._o how_o to_o divide_v a_o give_v line_n into_o two_o part_n which_o shall_v be_v in_o such_o proportion_n to_o each_o other_o as_o two_o give_v line_n page_n 36_o 17._o three_o line_n be_v give_v to_o find_v a_o four_o in_o proportion_n to_o they_o page_n 37_o chap._n iv_o of_o measure_n in_o general_n i._o of_o long_a measure_n show_v by_o what_o kind_n of_o measure_n land_n be_v survey_v and_o also_o how_o to_o reduce_v one_o sort_n of_o long_a measure_n into_o another_o page_n 39_o a_o general_n table_n of_o long_a measure_n ibid._n a_o table_n show_v how_o many_o foot_n and_o part_n of_o a_o foot_n also_o how_o many_o perch_n and_o part_n of_o a_o perch_n be_v contain_v in_o any_o number_n of_o chain_n and_o link_n from_o one_o link_n to_o a_o hundred_o chain_n page_n 41_o a_o table_n show_v how_o many_o chain_n link_n and_o part_n of_o a_o link_n also_o how_o many_o perch_n and_o part_n of_o a_o perch_n be_v contain_v in_o any_o number_n of_o foot_n from_o 1_o foot_n to_o 10000_o page_n 44_o ii_o of_o square_a measure_n show_v what_o it_o be_v and_o how_o to_o reduce_v one_o sort_n into_o another_o page_n 46_o a_o general_n table_n of_o square_a measure_n page_n 47_o a_o table_n show_v the_o length_n and_o breadth_n of_o a_o acre_n in_o perch_n foot_n and_o part_n of_o a_o foot_n page_n 49_o a_o table_n to_o turn_v perch_n into_o acre_n rood_n and_o perch_v page_n 53_o chap._n v._o of_o instrument_n and_o their_o use_n of_o the_o chain_n page_n 54_o of_o instrument_n for_o the_o take_n of_o a_o angle_n in_o the_o field_n page_n 56_o to_o take_v the_o quantity_n of_o a_o angle_n in_o the_o field_n by_o plain_a table_n page_n 57_o to_o take_v the_o quantity_n of_o a_o angle_n in_o the_o field_n by_o semicircle_n page_n 58_o to_o take_v the_o quantity_n of_o a_o angle_n in_o the_o field_n by_o circumferentor_n etc._n etc._n several_a way_n ibid._n of_o the_o field-book_n page_n 61_o of_o the_o scale_n with_o several_a use_v thereof_o and_o how_o to_o make_v a_o line_n of_o chord_n page_n 62_o etc._n etc._n of_o the_o protractor_n page_n 68_o chap._n vi_o how_o to_o take_v the_o plot_n of_o a_o field_n at_o one_o station_n in_o any_o place_n thereof_o from_o whence_o you_o may_v see_v all_o the_o angle_n by_o the_o semicircle_n and_o to_o protract_v the_o same_o page_n 71_o how_o to_o take_v the_o plot_n of_o the_o same_o field_n at_o one_o station_n by_o the_o plain_a table_n page_n 74_o how_o to_o take_v the_o plot_n of_o the_o same_o field_n at_o one_o station_n by_o the_o semicircle_n either_o with_o the_o help_n of_o the_o needle_n and_o limb_n both_o together_o or_o by_o the_o help_n of_o the_o needle_n only_o ibid._n how_o by_o the_o semicircle_n to_o take_v the_o plot_n of_o a_o field_n at_o one_o station_n in_o any_o angle_n thereof_o from_o whence_o the_o other_o angle_n may_v be_v see_v and_o to_o protract_v the_o same_o page_n 76_o how_o to_o take_v the_o plot_n of_o a_o field_n at_o two_o station_n provide_v from_o either_o station_n you_o may_v see_v every_o angle_n and_o measure_v only_o the_o stationary_a distance_n also_o to_o protract_v the_o same_o page_n 79_o 82_o etc._n etc._n how_o to_o take_v the_o plot_n of_o a_o field_n at_o two_o station_n when_o the_o field_n be_v so_o irregular_a that_o from_o one_o station_n you_o can_v see_v all_o the_o angel_n page_n 83_o how_o to_o take_v the_o plot_n of_o a_o field_n at_o one_o station_n in_o a_o angle_n so_o that_o from_o that_o angle_n you_o may_v see_v all_o the_o other_o angles_n by_o measure_v round_o about_o the_o say_a field_n page_n 86_o how_o to_o take_v the_o plot_n of_o the_o forego_n field_n by_o measure_v one_o line_n only_o and_o take_v observation_n at_o every_o angle_n page_n 88_o how_o to_o take_v the_o plot_n of_o a_o large_a field_n or_o wood_n by_o measure_v round_o the_o same_o and_o take_v observation_n at_o every_o angle_n by_o the_o semicircle_n page_n 90_o when_o you_o have_v survey_v after_o this_o manner_n how_o to_o know_v before_o you_o go_v out_o of_o the_o field_n whether_o you_o have_v wrought_v true_a or_o not_o page_n 94_o direction_n how_o to_o measure_v parallel_n to_o a_o hedge_n when_o you_o can_v go_v in_o the_o hedge_n itself_o and_o also_o in_o such_o case_n how_o to_o take_v your_o angel_n page_n 95_o how_o to_o take_v the_o plot_n of_o a_o field_n or_o wood_n by_o observe_v near_o every_o angle_n and_o measure_v the_o distance_n between_o the_o mark_v of_o observation_n by_o take_v in_o every_o line_n two_o
off-sets_a to_o the_o hedge_n page_n 97_o a_o easy_a way_n to_o do_v the_o same_o by_o take_v only_o one_o square_a and_o many_o off-sets_a page_n 99_o how_o by_o the_o help_n of_o the_o needle_n to_o take_v the_o plot_n of_o a_o large_a wood_n by_o go_v round_o the_o same_o and_o make_v use_n of_o that_o division_n of_o the_o card_n that_o be_v number_v with_o four_o 90_o s._n or_o quadrant_n and_o two_o way_n how_o to_o protract_v the_o same_o and_o examine_v the_o work_n page_n 103_o etc._n etc._n how_o by_o the_o chain_n only_o to_o take_v a_o angle_n in_o the_o field_n page_n 111_o how_o by_o the_o chain_n only_o to_o survey_v a_o field_n by_o go_v round_o the_o same_o page_n 113_o the_o common_a way_n teach_v by_o the_o surveyor_n for_o take_v the_o plot_n of_o the_o forego_n field_n page_n 116_o how_o to_o take_v the_o plot_n of_o a_o field_n at_o one_o station_n in_o any_o part_n thereof_o from_o whence_o all_o the_o angle_n may_v be_v see_v by_o the_o chain_n only_o page_n 119_o chap._n vii_o how_o to_o cast_v up_o the_o content_n of_o a_o plot_n of_o land._n of_o the_o square_a and_o parallelogram_n page_n 122_o of_o triangle_n page_n 123_o to_o find_v the_o content_a of_o a_o trapezia_n page_n 125_o how_o to_o find_v the_o content_a of_o a_o irregular_a plot_n consist_v of_o many_o side_n and_o angle_n page_n 127_o how_o to_o find_v the_o content_a of_o a_o circle_n or_o any_o portion_n thereof_o page_n 128_o how_o to_o find_v the_o content_a of_o a_o oval_a page_n 130_o how_o to_o find_v the_o content_a of_o regular_a polygon_n etc._n etc._n page_n 131_o chap._n viii_o of_o lay_v out_o new_a land_n a_o certain_a quantity_n of_o acre_n be_v give_v how_o to_o lay_v out_o the_o same_o in_o a_o square_a figure_n page_n 132_o how_o to_o lay_v out_o any_o give_a quantity_n of_o acre_n in_o a_o parallelogram_n whereof_o one_o side_n be_v give_v page_n 133_o how_o to_o lay_v out_o a_o parallelogram_n that_o shall_v be_v four_o five_o six_o or_o seven_o time_n etc._n etc._n long_o than_o broad_a ibid._n how_o to_o make_v a_o triangle_n that_o shall_v contain_v any_o number_n of_o acre_n be_v confine_v to_o a_o give_v base_a page_n 134_o how_o to_o find_v the_o length_n of_o the_o diameter_n of_o a_o circle_n that_o shall_v contain_v any_o number_n of_o acre_n require_v page_n 136_o chap._n ix_o of_o reduction_n how_o to_o reduce_v a_o large_a plot_n of_o land_n or_o map_n into_o a_o lesser_a compass_n according_a to_o any_o give_a proportion_n or_o e_fw-la contra_fw-la how_o to_o enlarge_v one_o three_o several_a way_n page_n 137_o how_o to_o change_n customary_a measure_n into_o statute_n &_o contra_fw-la page_n 141_o know_v the_o content_a of_o a_o piece_n of_o land_n to_o find_v out_o what_o scale_v it_o be_v plot_v by_o ibid._n chap._n x._o instruction_n for_o survey_v a_o manor_n county_n or_o country_n page_n 142_o chap._n xi_o of_o divide_v land_n how_o to_o divide_v a_o triangular_a piece_n of_o land_n several_a way_n page_n 146_o how_o to_o reduce_v a_o trapezia_n into_o a_o triangle_n by_o line_n draw_v from_o any_o angle_n thereof_o also_o how_o to_o reduce_v a_o trapezia_n into_o a_o triangle_n by_o line_n draw_v from_o a_o point_n assign_v in_o any_o side_n thereof_o page_n 149_o how_o to_o reduce_v a_o five-sided_n figure_n into_o a_o triangle_n and_o to_o divide_v the_o same_o page_n 151_o how_o to_o divide_v a_o irregular_a plot_n of_o any_o number_n of_o side_n according_a to_o any_o give_a proportion_n by_o a_o straight_a line_n through_o it_o page_n 153_o a_o easy_a way_n to_o do_v the_o same_o with_o two_o example_n page_n 155_o how_o to_o divide_v a_o circle_n according_a to_o any_o proportion_n by_o a_o line_n concentric_a with_o the_o circumference_n page_n 158_o chap._n xii_o trigonometry_n 159_o etc._n etc._n this_o chapter_n show_v first_o the_o use_n of_o the_o table_n of_o sines_n and_o tangent_n and_o second_o contain_v ten_o case_n for_o the_o mensuration_n of_o right-lined_a triangle_n very_o necessary_a to_o be_v understand_v by_o the_o surveyor_n chap._n xiii_o of_o height_n and_o distance_n how_o to_o take_v the_o height_n of_o a_o tower_n steeple_n tree_n or_o any_o such_o thing_n page_n 180_o how_o to_o take_v the_o height_n of_o a_o tower_n etc._n etc._n when_o you_o can_v come_v nigh_o the_o foot_n thereof_o page_n 183_o how_o to_o take_v the_o height_n of_o a_o tower_n etc._n etc._n when_o the_o ground_n either_o rise_v or_o fall_v page_n 184_o how_o to_o take_v distance_n by_o a_o example_n of_o a_o river_n page_n 185_o how_o to_o take_v the_o horizontal_n line_n of_o a_o hill_n page_n 189_o how_o to_o take_v the_o rock_n or_o sand_n at_o the_o entrance_n of_o a_o river_n or_o harbour_n and_o to_o plot_v the_o same_o page_n 191_o how_o to_o know_v whether_o water_n may_v be_v make_v to_o run_v from_o a_o springhead_n to_o any_o appoint_a place_n page_n 194_o a_o table_n of_o northing_n or_o sothe_v ea_v or_o westing_n a_o table_n of_o logarithm_n a_o table_n of_o artificial_a sin_n and_o tangent_n a_o catalogue_n of_o book_n print_v for_o and_o sell_v by_o john_n tailor_n at_o the_o ship_n in_o s._n paul_n churchyard_n 1._o the_o travel_n of_o mounseur_fw-fr de_fw-fr thevinot_n into_o the_o levant_n in_o three_o part_n viz._n i._o into_o turkey_n ii_o persia_n iii_o the_o east-indies_n new_o do_v out_o of_o french_a in_o folio_n 2._o a_o free_a enquiry_n into_o the_o vulgar_o receive_v notion_n of_o nature_n make_v in_o a_o essay_n address_v to_o a_o friend_n by_o the_o honourable_a robert_n boyle_n esq_n fellow_n of_o the_o royal_a society_n the_o same_o be_v also_o in_o latin_a for_o the_o benefit_n of_o foreigner_n 3._o the_o martyrdom_n of_o theodora_n and_o of_o didymus_n by_o a_o person_n of_o honour_n 4._o the_o declamation_n of_o quintilian_n be_v a_o exercitation_n or_o praxis_fw-la upon_o his_o twelve_o book_n concern_v the_o institution_n of_o a_o orator_n translate_v from_o the_o oxford-theatre_n edition_n into_o english_a by_o a_o learned_a and_o ingenious_a hand_n with_o the_o approbation_n of_o several_a eminent_a schoolmaster_n in_o the_o city_n of_o london_n 5._o england_n happiness_n in_o a_o lineal_a succession_n and_o the_o deplorable_a misery_n which_o ever_o attend_v doubtful_a title_n to_o the_o crown_n historical_o demonstrate_v from_o the_o war_n between_o the_o two_o house_n of_o york_n and_o lancaster_n 6._o academia_n scientiarum_fw-la or_o the_o academy_n of_o science_n be_v a_o short_a and_o easy_a introduction_n to_o the_o knowledge_n of_o the_o liberal_a art_n and_o science_n with_o the_o name_n of_o those_o famous_a author_n that_o have_v write_v on_o every_o particular_a science_n in_o latin_a and_o english_a by_o d._n abercromby_n m._n d._n 7._o public_a devotion_n and_o the_o common-service_n of_o the_o church_n of_o england_n justify_v and_o recommend_v to_o all_o honest_a and_o well-meaning_n however_o prejudice_v dissenter_n by_o a_o lover_n of_o his_o country_n and_o the_o protestant_a religion_n 8._o the_o best_a exercise_n to_o which_o be_v add_v a_o letter_n to_o a_o person_n of_o quality_n concern_v the_o holy_a life_n of_o the_o primitive_a christian_n by_o anthony_n horneck_n preacher_n at_o the_o savoy_n 9_o the_o mother_n blessing_n or_o the_o godly_a counsel_n of_o a_o gentlewoman_n not_o long_o since_o decease_a leave_v behind_o for_o her_o child_n by_o mrs._n dorothy_n leigh_n 10._o the_o enchant_a lover_n or_o the_o amour_n of_o narcissus_n and_o aurelia_n a_o novel_a by_o peter_n bellon_n author_n of_o the_o pilgrim_n 11._o good_a and_o solid_a reason_n why_o a_o protestant_n shall_v not_o turn_v papist_n in_o a_o letter_n to_o a_o romish_a priest_n 12._o curious_a inquiry_n be_v six_o brief_a discourse_n viz._n i._o of_o longitude_n ii_o the_o trick_n of_o astrological_a quack_n iii_o of_o the_o depth_n of_o the_o sea_n iv_o of_o tobacco_n v._o of_o europe_n be_v too_o full_a of_o people_n vi_o the_o various_a opinion_n concern_v the_o time_n of_o keep_v the_o sabbath_n 13._o the_o work_n of_o dr._n thomas_n comber_n in_o four_o part_n folio_n 14._o weekly_a memorial_n for_o the_o ingenious_a or_o a_o account_n of_o book_n late_o set_v forth_o in_o several_a language_n with_o other_o account_n relate_v to_o art_n and_o science_n 15._o legrand_n historia_fw-la sacra_fw-la 16._o poetical_a history_n by_o gualtruchius_fw-la 17._o london_n dispensatory_a by_o nicholas_n culpeper_n 18._o father_z simon_n be_v critical_a history_n of_o the_o eastern_a nation_n 19_o history_n of_o the_o progress_n of_o ecclesiastical_a revenue_n 26._o the_o several_a way_n of_o resolve_v faith_n by_o the_o controvertist_n of_o the_o church_n of_o england_n and_o the_o church_n of_o reme_n geodaesia_n or_o the_o art_n of_o measure_v land_n etc._n etc._n chap._n i._n of_o arithmetic_n it_o
from_o the_o number_n thus_o increase_v extract_v the_o root_n which_o shall_v be_v the_o side_n of_o the_o propose_a square_n example_n suppose_v the_o number_n give_v be_v 100_o acre_n which_o i_o be_o to_o lay_v out_o in_o a_o square_a figure_n i_o join_v to_o the_o 100_o 5_o cipher_n and_o then_o it_o be_v square_n link_n the_o root_n of_o which_o be_v 3162_o near_o or_o 31_o chain_n 62_o link_n the_o length_n of_o one_o side_n of_o the_o square_n again_o if_o i_o be_v to_o cut_v out_o of_o a_o cornfield_n one_o square_a acre_n i_o add_v to_o one_o five_o cipher_n and_o then_o be_v it_o the_o root_n of_o which_o be_v 3_o chain_n 16_o link_n and_o something_o more_o for_o the_o side_n of_o that_o acre_n how_o to_o lay_v out_o any_o give_a quantity_n of_o acre_n in_o a_o parallelogram_n whereof_o one_o side_n be_v give_v turn_v first_o the_o acre_n into_o link_n by_o add_v as_o before_o 5_o cipher_n that_o number_n thus_o increase_v divide_v by_o the_o give_v side_n the_o quotient_n will_v be_v the_o other_o side_n example_n it_o be_v require_v to_o lay_v out_o 100_o acre_n in_o a_o parallelogram_n one_o side_n of_o which_o shall_v be_v 20_o chain_n 00_o link_n first_o to_o the_o 100_o acre_n i_o add_v 5_o cipher_n and_o it_o be_v 100,00000_o which_o i_o divide_v by_o 20_o chain_n 00_o link_n the_o quotient_n be_v 50_o chain_n 00_o link_n for_o the_o other_o side_n of_o the_o parallelogram_n how_o to_o lay_v out_o a_o parallelogram_n that_o shall_v be_v 4_o 5_o 6_o or_o 7_o etc._n etc._n time_n long_o than_o it_o be_v broad_a in_o carolina_n all_o land_n lie_v by_o the_o side_n of_o river_n except_o seignory_n or_o barony_n be_v or_o aught_o by_o order_n of_o the_o lord_n proprietor_n to_o be_v thus_o lay_v out_o to_o do_v which_o first_o as_o above_o teach_v turn_v the_o give_v quantity_n of_o acre_n into_o link_n by_o annex_v 5_o cipher_n which_o sum_n divide_v by_o the_o number_n give_v for_o the_o proportion_n between_o the_o length_n and_o breadth_n as_o 4_o 5_o 6_o 7_o etc._n etc._n the_o root_n of_o the_o quotient_n will_v show_v the_o short_a side_n of_o such_o a_o parallelogram_n example_n admit_v it_o be_v require_v of_o i_o to_o lay_v out_o 100_o acre_n in_o a_o parallelogram_n that_o shall_v be_v five_o time_n as_o long_o as_o broad_a first_o to_o the_o 100_o acre_n i_o add_v 5_o cipher_n and_o it_o make_v 100,00000_o which_o sum_n i_o divide_v by_o 5_o the_o quotient_n be_v 2000000_o the_o root_n of_o which_o be_v near_a 14_o chain_n 14_o link_n and_o that_o i_o say_v shall_v be_v the_o short_a side_n of_o such_o a_o parallelogram_n and_o by_o multiply_v that_o 1414_o by_o 5_o show_v i_o the_o long_a side_n thereof_o to_o be_v 70_o chain_n 70_o link_n how_o to_o make_v a_o triangle_n that_o shall_v contain_v any_o number_n of_o acre_n be_v confine_v to_o a_o certain_a base_a double_o the_o give_v number_n of_o acre_n to_o which_o annex_v first_o five_o cipher_n divide_v by_o the_o base_a the_o quotient_n will_v be_v the_o length_n of_o the_o perpendicular_a example_n upon_o a_o base_a give_v that_o be_v in_o length_n 40_o chain_n 00_o link_n i_o be_o to_o make_v a_o triangle_n that_o shall_v contain_v 100_o acre_n first_o i_o double_v the_o 100_o acre_n and_o annex_v five_o cipher_n thereto_o it_o make_v 200,00000_o which_o i_o divide_v by_o 40_o chain_n 00_o link_n the_o limit_a base_a the_o quotient_n be_v 50_o chain_n 00_o link_n for_o the_o height_n of_o the_o perpendicular_a as_o in_o this_o figure_n ab_fw-la be_v the_o give_v base_a 40_o upon_o any_o part_n of_o which_o base_a i_o set_v the_o perpendicular_a 50_o as_o at_o c_o then_o the_o perpendicular_a be_v cd_o therefore_o i_o draw_v the_o line_n dam_fw-ge db_fw-la which_o make_v the_o triangle_n dab_n to_o contain_v just_a 100_o acre_n as_o require_v or_o if_o i_o have_v set_v the_o perpendicular_a at_o e_z then_o will_v of_o have_v be_v the_o perpendicular_a 50_o and_o by_o draw_v the_o line_n favorina_n fb_n i_o shall_v have_v make_v the_o triangle_n fab_n contain_v 100_o acre_n the_o same_o as_o dab_n if_o you_o consider_v this_o well_o when_o you_o be_v lay_v out_o a_o new_a piece_n of_o land_n of_o any_o give_v content_a in_o america_n or_o elsewhere_o although_o you_o meet_v in_o your_o way_n with_o 100_o line_n and_o angle_n yet_o you_o may_v by_o make_v a_o triangle_n to_o the_o first_o station_n you_o begin_v at_o cut_v off_o any_o quantity_n require_v how_o to_o find_v the_o length_n of_o the_o diameter_n of_o a_o circle_n which_o shall_v contain_v any_o number_n of_o acre_n require_v say_v as_o 11_o be_v to_o 14_o so_o will_v the_o number_n of_o acre_n give_v be_v to_o the_o square_n of_o the_o diameter_n of_o the_o circle_n require_v example_n what_o be_v the_o length_n of_o the_o diameter_n of_o a_o circle_n who_o superficial_a content_n shall_v be_v 100_o acre_n add_v five_o cipher_n to_o the_o 100_o and_o it_o make_v 100,00000_o link_n which_o multiply_v by_o 14_o facit_fw-la 140000000_o which_o divide_v 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c_z 21_o which_o be_v no_o more_o but_o perform_v the_o rule_n of_o three_o in_o line_n as_o if_o we_o shall_v say_v if_o a_o 14_o give_v b_o 18_o what_o shall_v c_z 21_o give_v answer_v 27._o but_o to_o perform_v the_o same_o geometrical_o work_v thus_o and_o here_o for_o a_o while_o i_o shall_v leave_v these_o problem_n till_o i_o come_v to_o show_v you_o how_o to_o divide_v any_o piece_n of_o land_n and_o to_o lay_v out_o any_o piece_n of_o a_o give_v quantity_n of_o acre_n into_o any_o form_n or_o figure_n require_v and_o in_o the_o mean_a time_n i_o shall_v show_v you_o what_o be_v necessary_a to_o be_v know_v chap._n iu._n of_o measure_n and_o first_o of_o long_a measure_n which_o be_v either_o inch_n foot_n yard_n perch_n chain_n etc._n etc._n note_v that_o twelve_o inch_n make_v one_o foot_n three_o foot_n one_o yard_n five_o yard_n and_o a_o half_a one_o pole_n or_o perch_n four_o perch_n one_o chain_n of_o gunter_n eighty_o chain_n one_o mile_n but_o if_o you_o will_v bring_v one_o sort_n of_o measure_n into_o another_o you_o must_v work_v by_o multiplication_n or_o division_n as_o for_o example_n suppose_v you_o will_v know_v how_o many_o inch_n be_v contain_v in_o twenty_o yard_n first_o reduce_v the_o yard_n into_o foot_n by_o multiply_v they_o by_o 3_o because_o 3_o foot_n make_v one_o yard_n the_o product_n be_v 60_o which_o multiply_v by_o 12_o the_o number_n of_o inch_n in_o one_o foot_n give_v 720_o and_o so_o many_o inch_n be_v contain_v in_o 20_o yard_n length_n on_o the_o contrary_a if_o you_o will_v have_v know_v how_o many_o yard_n there_o be_v in_o 720_o inch_n you_o must_v first_o divide_v 720_o by_o 12_o the_o quotient_n be_v 60_o foot_n that_o again_o divide_v by_o 3_o the_o quotient_n be_v 20_o yard_n the_o like_v you_o must_v do_v with_o any_o other_o measure_n as_o perch_n chain_n etc._n etc._n of_o which_o more_o by_o and_o by_o long_o link_n foot_n yard_n perch_n chain_n mile_n inches_n 7.92_o 12_o 36_o 198_o 792_o 63360_o  _fw-fr link_n 1.515_o 4.56_o 25_o 100_o 8000_o  _fw-fr  _fw-fr foot_n 3_o 16.5_o 66_o 5280_o  _fw-fr  _fw-fr  _fw-fr yard_n 5.5_o 22_o 1760_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr perch_n 4_o 320_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr chain_n 80_o see_v this_o table_n of_o long_a measure_n annex_v the_o use_n whereof_o be_v very_o easy_a if_o you_o will_v know_v how_o many_o foot_n in_o length_n go_v to_o make_v one_o chain_n look_v for_o chain_n at_o top_n and_o at_o the_o lefthand_n for_o foot_n against_o which_o in_o the_o common_a angle_n of_o
the_o former_a proportion_n how_o to_o reduce_v a_o irregular_a five-sided_n figure_n into_o a_o triangle_n and_o to_o divide_v the_o same_o let_v abcde_v be_v the_o five-sided_n figure_n to_o reduce_v which_o into_o a_o triangle_n draw_v the_o line_n ac_fw-la ad_fw-la and_o parallel_n thereto_o bf_a eglantine_n extend_v the_o base_a from_o c_o to_o f_o and_o from_o d_o to_z g_z then_o draw_v the_o line_n of_o agnostus_n which_o will_v make_v the_o triangle_n afg_v equal_a to_o the_o five_o sided-figure_n if_o this_o be_v to_o be_v divide_v into_o two_o equal_a part_n take_v the_o half_a of_o the_o base_a of_o the_o triangle_n which_o be_v fh_n and_o from_o h_n draw_v the_o line_n ha_o which_o divide_v the_o figure_n abcde_v into_o two_o equal_a part_n the_o like_v you_o may_v do_v for_o any_o other_o proportion_n if_o in_o divide_v the_o plot_n of_o a_o field_n there_o be_v outward_a angle_n you_o may_v change_v they_o after_o the_o follow_a manner_n suppose_v abcde_v be_v the_o plot_n of_o a_o field_n and_o b_o the_o outward_a angle_n draw_v the_o line_n ca_n and_o parallel_v thereto_o the_o line_n bf_n last_o the_o line_n cf_n shall_v be_v of_o as_o much_o force_n as_o the_o line_n cb_n and_o basilius_n so_o be_v that_o five-sided_n figure_n have_v one_o outward_a angle_n reduce_v into_o a_o four-sided_n figure_n or_o trapezia_n which_o you_o may_v again_o reduce_v into_o a_o triangle_n as_o have_v be_v before_o teach_v how_o to_o divide_v a_o irregular_a plot_n of_o any_o number_n of_o side_n according_a to_o any_o give_a proportion_n by_o a_o straight_a line_n through_o it_o abcdefghi_n be_v a_o field_n to_o be_v divide_v between_o two_o man_n in_o equal_a half_n by_o a_o straight_a line_n proceed_v from_o a._n first_o consider_v how_o to_o divide_v the_o field_n into_o five-sided_n figure_n and_o trapezias_n that_o you_o may_v the_o better_o reduce_v it_o into_o triangle_n as_o by_o draw_v the_o line_n kl_n you_o cut_v off_o the_o five-sided_n figure_n abchi_n which_o reduce_v into_o the_o triangle_n akl_n and_o measure_v half_o the_o base_a thereof_o which_o will_v fall_v at_o q_o draw_v the_o line_n qa_n second_o draw_v the_o line_n mn_v and_o from_o the_o point_n q_o reduce_v the_o trapezia_n cdgh_v into_o the_o triangle_n mnq_fw-fr which_o again_o divide_v into_o half_n and_o draw_v the_o line_n qr_n three_o from_o the_o point_n r_o reduce_v the_o trapezia_n defg_v into_o the_o triangle_n rop_n and_o take_v half_o the_o base_a thereof_o draw_v the_o line_n r_n and_o then_o have_v you_o divide_v this_o irregular_a figure_n into_o two_o equal_a part_n by_o the_o three_o line_n aq_n qr_n rs._n four_o draw_v the_o line_n be_v also_o qt_v parallel_v thereto_o draw_v also_o at_o and_o then_o have_v you_o turn_v two_o of_o the_o line_n into_o one_o five_o from_o t_n draw_v the_o line_n it_o be_v and_o parallel_n thereto_o the_o line_n rv_n draw_v also_o tu._n then_o be_v your_o figure_n divide_v into_o two_o equal_a part_n by_o the_o two_o line_n at_o and_z tu._n last_o draw_v the_o line_n hence_v and_o parallel_v thereto_o tw_n draw_v also_o awe_o which_o will_v cut_v the_o figure_n into_o two_o equal_a part_n by_o a_o straight_a line_n as_o be_v require_v you_o may_v if_o you_o please_v divide_v such_o a_o figure_n all_o into_o triangle_n and_o then_o divide_v each_o triangle_n from_o the_o point_n where_o the_o division_n of_o the_o last_o fall_v and_o then_o will_v your_o figure_n be_v divide_v by_o a_o crooked_a line_n which_o you_o may_v bring_v into_o a_o straight_a one_o as_o above_o this_o above_o be_v a_o good_a way_n of_o divide_v land_n but_o surveyor_n seldom_o take_v so_o much_o pain_n about_o it_o i_o shall_v therefore_o show_v you_o how_o common_o they_o abbreviate_v their_o work_n and_o be_v indeed_o a_o easy_a way_n of_o divide_v land_n admit_v the_o follow_a figure_n abcde_v contain_v 46_o acre_n to_o be_v divide_v in_o half_n between_o two_o man_n by_o a_o line_n proceed_v from_o a._n draw_v first_o a_o line_n by_o guess_n through_o the_o figure_n as_o the_o line_n af._n then_o cast_v up_o the_o content_a of_o either_o half_n and_o see_v what_o it_o want_v or_o what_o it_o be_v more_o than_o the_o true_a half_n shall_v be_v as_o for_o example_n i_o cast_v up_o the_o content_a of_o aeg_n and_o find_v it_o to_o be_v but_o 15_o acre_n whereas_o the_o true_a half_n be_v 23_o acre_n 8_o acre_n be_v in_o the_o part_n abcdg_n more_o than_o aeg_n therefore_o i_o make_v a_o triangle_n contain_v 8_o acre_n and_o add_v it_o to_o aeg_n as_o the_o triangle_n agi_fw-la then_o the_o line_n ai_fw-fr part_n the_o figure_n into_o equal_a half_n if_o it_o have_v be_v require_v to_o have_v set_v off_o the_o perpendicular_a the_o other_o way_n you_o must_v still_o have_v make_v the_o end_n of_o it_o but_o just_a touch_n the_o line_n ed_z as_o lk_n do_v for_o the_o triangle_n akg_n be_v equal_a to_o the_o triangle_n agi_fw-la each_o 8_o acre_n and_o thus_o you_o may_v divide_v any_o piece_n of_o land_n of_o never_o so_o many_o side_n and_o angle_n according_a to_o any_o proportion_n by_o straight_a line_n through_o it_o with_o as_o much_o certainty_n and_o more_o ease_n than_o the_o former_a way_n mark_v you_o may_v also_o have_v draw_v the_o line_n ad_fw-la and_o measure_v the_o triangle_n agd_v and_o afterward_o have_v divide_v the_o base_a gd_v according_a to_o proportion_n in_o the_o point_n i_o which_o i_o will_v make_v more_o plain_a in_o this_o follow_a example_n suppose_v the_o follow_a field_n contain_v 27_o acre_n be_v to_o be_v divide_v between_o three_o man_n each_o to_o have_v nine_o acre_n and_o the_o line_n of_o division_n to_o run_v from_o a_o pond_n in_o the_o field_n so_o that_o every_o one_o may_v have_v the_o benefit_n of_o the_o water_n without_o go_v over_o one_o another_o land._n from_o ☉_o to_o any_o angle_n draw_v a_o line_n for_o the_o first_o division-line_n as_o ☉_o a._n then_o consider_v that_o the_o first_o angle_n a_o ☉_o b_o be_v but_o 674_o perch_n and_o the_o second_n b_o ☉_o c_o 390_o both_o together_o but_o 1064_o perch_n less_o by_o 376_o then_o 1440_o one_o man_n portion_n you_o must_v therefore_o cut_v off_o from_o the_o three_o angle_n c_o ☉_o d_o 376_o perch_n for_o the_o first_o man_n dividing-line_n which_o thus_o you_o may_v do_v the_o base_a dc_o be_v 18_o chain_n the_o content_a of_o the_o triangle_n 1238_o perch_n say_v then_o if_o 1238_o perch_n give_v base_a 18_o chain_n 00_o link_n what_o shall_v 376_o perch_n give_v answer_v 5_o chain_n 45_o link_n which_o set_v from_o c_o to_o f_o and_o draw_v the_o line_n ☉_o f_o you_o have_v the_o first_o man_n part_n viz._n a_o ☉_o f._n second_o see_v what_o remain_v of_o the_o triangle_n c_o ☉_o d_o 376_o be_v take_v out_o and_o you_o will_v find_v it_o to_o be_v 862_o perch_n which_o be_v less_o by_o 578_o then_o 1440._o therefore_o from_o the_o triangle_n d_o ☉_o e_o cut_n off_o 578_o perch_n and_o the_o point_n of_o division_n will_v fall_v in_o g._n draw_v the_o line_n ☉_o g_o which_o with_o ☉_o a_n and_o ☉_o f_o divide_v the_o figure_n into_o three_o equal_a part_n how_o to_o divide_v a_o circle_n according_a to_o any_o proportion_n by_o a_o line_n concentric_a with_o the_o first_o all_o circle_n be_v in_o proportion_n to_o one_o another_o as_o the_o square_n of_o their_o diameter_n therefore_o if_o you_o divide_v the_o square_n of_o diameter_n or_o semi-diameter_n and_o extract_v the_o root_n you_o will_v have_v your_o desire_n example_n let_v abcd_n be_v a_o circle_n to_o be_v equal_o divide_v between_o two_o men._n the_o diameter_n thereof_o be_v 2_o chain_n the_o semi-diameter_n 1_o chain_n or_o 100_o link_n the_o square_a thereof_o 10100_o half_a the_o square_n the_o root_n of_o the_o half_n 71_o link_n which_o take_v from_o your_o scale_n and_o upon_o the_o same_o centre_n draw_v the_o circle_n gehf_n which_o divide_v the_o circle_n abcd_v into_o equal_a part_n chap._n xii_o trigonometry_n or_o the_o mensuration_n of_o right_o line_v triangle_n the_o use_n of_o the_o table_n of_o logarithm_n number_n i_o have_v show_v you_o in_o chap._n i._n concern_v the_o extraction_n of_o the_o square_a root_n here_o follow_v the_o use_n of_o the_o table_n of_o sines_n and_o tangent_n any_o angle_n be_v give_v in_o degree_n and_o minute_n how_o to_o find_v the_o sine_fw-la or_o tangent_fw-la thereof_o let_v 25_o degree_n 10_o minute_n be_v give_v to_o find_v the_o sine_fw-la and_o tangent_fw-la thereof_o first_o in_o the_o table_n of_o sines_n and_o tangent_n at_o the_o head_n thereof_o seek_v for_o 25_o and_o have_v find_v it_o look_v down_o the_o first_o column_n on_o the_o lefthand_n under_o m_n for_o the_o 10_o minute_n and_o right_a against_o