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5._o of_o chain_n and_o chief_o of_o master_n rathborn_v 46._o master_n gunter_n 47._o 6._o of_o the_o protractor_n 50._o 7._o of_o scale_n plain_n and_o diagonall_a 52._o 8._o of_o a_o field-book_n 53._o 9_o of_o the_o parallelogram_n 54._o iii_o of_o trigonometrie_n and_o 1._o of_o the_o description_n and_o use_n of_o the_o table_n of_o sines_n 57_o and_o logarithm_n 63._o 2._o the_o application_n of_o these_o table_n as_o also_o of_o the_o line_n of_o number_n sin_n and_o tangent_n in_o resolve_v of_o plain_a triangle_n right_o angle_v 74._o and_o oblique_a angle_v 79._o iv_o the_o use_n of_o instrument_n and_o 1._o of_o the_o scale_n in_o take_v therefrom_o lay_v down_o line_n and_o angle_n of_o any_o quantity_n 179._o 2._o of_o the_o protractor_n in_o lay_v down_o find_v the_o quantity_n of_o any_o angle_n 182._o 3._o of_o the_o plain_a table_n theodolite_n circumferentor_n to_o find_v a_o angle_n in_o the_o field_n therewith_o 163._o 4._o of_o the_o label_n thereby_o to_o 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210._o and_o to_o protract_v the_o same_o 210._o 10._o to_o take_v the_o plot_n of_o a_o field_n at_o two_o station_n take_v in_o any_o part_n thereof_o by_o the_o plain_a table_n 212._o theodolite_fw-la 214._o circumferentor_n 216._o and_o to_o protract_v the_o same_o 216._o 11._o to_o take_v the_o plot_n of_o a_o field_n at_o two_o station_n take_v in_o any_o part_n thereof_o only_o measure_v the_o stationarie_a distance_n by_o the_o plain_a table_n 218._o theodolite_fw-la 220._o circumferentor_n 220_o and_o to_o protract_v the_o same_o 222_o 12._o of_o large_a champion_n plain_n or_o wood_n to_o take_v plot_n thereof_o by_o the_o plain_a table_n 223._o theodolite_fw-la 226._o and_o to_o protract_v the_o same_o 228._o with_o a_o way_n to_o prove_v the_o truth_n thereof_o 230._o 13._o to_o take_v the_o plot_n of_o any_o field_n woodpark_n chase_n forrest_n or_o other_o large_a champion_n plain_a by_o the_o circumferentor_n 230._o and_o to_o protract_v the_o same_o 233._o with_o diverse_a caution_n for_o the_o exact_a performance_n thereof_o 14._o of_o the_o peractor_n contrive_v by_o master_n rathborn_a how_o to_o make_v the_o plain_a table_n to_o do_v the_o work_v thereof_o better_o than_o the_o peractor_n itself_o 236._o 15._o to_o take_v the_o plot_n of_o any_o piece_n of_o land_n by_o the_o peractor_n 236._o and_o to_o protract_v the_o same_o 240._o 16._o of_o find_v the_o area_n or_o superficial_a content_n of_o any_o piece_n of_o land_n the_o plot_n thereof_o be_v first_o take_v and_o chief_o of_o the_o geometrical_a square_n 241_o the_o long_a square_n 242._o the_o triangle_n 242._o the_o trapezia_n 243._o any_o irregular_a plot_n of_o a_o field_n 244._o the_o circle_n 245._o 17._o the_o manner_n of_o cast_v up_o the_o content_a of_o any_o piece_n of_o land_n in_o acre_n etc._n etc._n by_o mr._n rathborn_v chain_n 246_o mr._n gunter_n chain_n 249_o 18._o
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and_o in_o protract_v you_o must_v turn_v the_o semicircle_n of_o the_o protractor_n the_o contrary_a way_n to_o what_o you_o do_v in_o protract_v of_o other_o angle_n chap._n xxxiv_o how_o to_o know_v whether_o you_o have_v take_v the_o angle_n of_o a_o field_n true_o in_o go_v round_o about_o the_o same_o with_o the_o theodolite_a as_o in_o chap._n 33_o whereby_o you_o may_v know_v whether_o your_o plot_n will_v close_v or_o not_o the_o side_n be_v true_o measure_v have_v make_v observation_n of_o all_o the_o angle_n in_o the_o field_n with_o your_o instrument_n and_o note_v they_o down_o in_o your_o field-book_n as_o be_v do_v in_o the_o latter_a end_n of_o chap._n 32._o collect_v the_o quantity_n of_o all_o the_o angle_n find_v at_o your_o several_a observation_n into_o one_o sum_n and_o multiply_v 180_o degree_n by_o a_o number_n less_o by_o two_o then_o the_o number_n of_o angle_n in_o the_o field_n and_o if_o the_o product_n of_o this_o multiplication_n be_v equal_a to_o the_o total_a sum_n of_o your_o angle_n then_o be_v your_o work_n true_a otherwise_o not_o example_n in_o the_o work_n of_o the_o 32_o chap._n the_o angle_v find_v be_v as_o in_o the_o margin_n the_o sum_n of_o they_o be_v 900_o degree_n 00_o minute_n now_o because_o the_o field_n consist_v of_o 7_o angle_n you_o must_v therefore_o multiply_v 180_o degree_n by_o 5_o which_o be_v a_o number_n less_o by_o two_o then_o the_o number_n of_o angle_n in_o the_o field_n and_o the_o product_n will_v be_v 900_o deg_fw-la min._n 130_o 00_o 120_o 30_o 137_o 30_o 120_o 30_o 121_o 30_o 126_o 30_o 143_o 30_o 900_o 00_o which_o exact_o agree_v with_o the_o sum_n of_o all_o the_o angle_n in_o the_o field_n as_o you_o find_v they_o by_o observation_n you_o may_v conclude_v that_o your_o work_n be_v exact_o perform_v chap._n xxxv_o how_o to_o take_v the_o plot_n of_o any_o wood_n park_n or_o other_o large_a champion_n plain_a by_o go_v about_o the_o same_o and_o make_v observation_n at_o every_o angle_n thereof_o by_o the_o circumferentor_n suppose_v then_o that_o abcdefghk_n be_v a_o large_a field_n or_o other_o enclosure_n to_o be_v plot_v by_o the_o circumferentor_n 1._o place_v your_o instrument_n at_o a_o the_o flower-de-luce_n towards_o you_o direct_v the_o sight_n to_o b_o the_o south_n end_n of_o the_o needle_n cut_v 191_o degree_n and_o the_o ditch_n wall_n or_o hedge_n ab_fw-la contain_v 10_o chain_n 75_o link_n the_o degree_n cut_v and_o the_o line_n measure_v must_v be_v note_v down_o in_o your_o field-book_n as_o in_o the_o forego_n example_n 2._o place_v your_o instrument_n at_o b_o and_o direct_v the_o sight_n to_o c_o the_o south_n end_n of_o the_o needle_n cut_v 279_o degree_n and_o the_o line_n bc_n contain_v 6_o chain_n 83_o link_n which_o note_v down_o in_o your_o field-book_n as_o before_o 3._o place_v the_o instrument_n at_o c_o and_o direct_v the_o sight_n to_o d_o the_o needle_n cut_v 216_o degree_n 30_o minute_n and_o the_o line_n cd_o contain_v 7_o chain_n 82_o link_n 4._o place_v the_o instrument_n at_o d_o and_o direct_v the_o sight_n to_o e_o the_o needle_z cut_v 325_o degree_n and_o the_o line_n de_fw-fr contain_v 6_o chain_n 96_o link_n 5._o place_v the_o instrument_n at_o e_o and_o direct_v the_o sight_n to_o f_o the_o needle_n cut_v 12_o degree_n 30_o minute_n and_o the_o line_n of_o contain_v 9_o chain_n 71_o link_n 6._o place_v the_o instrument_n at_o f_o and_o direct_v the_o sight_n to_o g_o the_o needle_n cut_v 342_o degree_n 30_o minute_n and_o the_o line_n fg_v contain_v 7_o chain_n 54_o link_n 7._o place_v the_o instrument_n at_o g_o and_o direct_v the_o sight_n to_o h_n the_o needle_n cut_v 98_o degree_n 30_o minute_n and_o the_o line_n gh_o contain_v 7_o chain_n 52_o link_n 8._o place_v the_o instrument_n at_o h_n and_o direct_v the_o sight_n to_o k_o the_o needle_n cut_v 71_o degree_n and_o the_o line_n hk_v contain_v 7_o chain_n 78_o link_n 9_o place_v the_o instrument_n at_o k_o and_o direct_v the_o sight_n to_o a_o where_o you_o begin_v the_o needle_n cut_v 161_o degree_n 30_o minute_n and_o the_o line_n ka_o contain_v 8_o chain_n 22_o link_n have_v go_v round_o the_o field_n in_o this_o manner_n and_o collect_v the_o degree_n cut_v and_o the_o line_n measure_v in_o the_o several_a column_n of_o your_o field_n book_n according_a to_o former_a direction_n you_o shall_v find_v they_o to_o stand_v as_o follow_v by_o which_o you_o may_v protract_v and_o draw_v the_o plot_n of_o your_o field_n as_o in_o the_o next_o chapter_n  _fw-fr degree_n minute_n chain_n link_n a_o 191_o 00_o 10_o 75_o b_o 279_o 00_o 6_o 83_o c_o 216_o 30_o 7_o 82_o d_o 325_o 00_o 6_o 96_o e_z 12_o 30_o 9_o 71_o f_o 342_o 30_o 7_o 54_o g_z 98_o 30_o 7_o 54_o h_n 71_o 00_o 7_o 78_o k_o 161_o 30_o 8_o 22_o in_o go_v about_o a_o field_n in_o this_o manner_n you_o may_v perceive_v a_o wonderful_a quick_a dispatch_n for_o you_o be_v only_o to_o take_v notice_n of_o the_o degree_n cut_v once_o at_o every_o angle_n and_o not_o to_o use_v any_o back-sight_n as_o in_o the_o before_o go_v work_n of_o the_o theodolite_a but_o to_o use_v back-sight_n with_o the_o circumferentor_n be_v best_a for_o to_o confirm_v your_o work_n for_o when_o you_o stand_v at_o any_o angle_n of_o a_o field_n and_o direct_v your_o sight_n to_o the_o next_o and_o observe_v what_o degree_n the_o south_n end_n of_o the_o needle_n cut_v if_o you_o remove_v your_o instrument_n from_o this_o angle_n to_o the_o next_o and_o look_v to_o the_o mark_n or_o angle_v where_o it_o last_o stand_v with_o your_o back-sight_n the_o needle_n will_v there_o also_o cut_v the_o same_o degree_n as_o before_o which_o ought_v to_o be_v do_v and_o may_v be_v without_o much_o loss_n of_o time_n so_o the_o instrument_n be_v place_v at_o a_o if_o you_o direct_v the_o sight_n to_o b_o you_o shall_v find_v the_o needle_n to_o cut_v 191_o degree_n then_o remove_v your_o instrument_n to_o b_o if_o you_o direct_v the_o back-sight_n to_o a_o the_o needle_n will_v then_o also_o cut_v 191_o degree_n now_o for_o dispatch_n and_o exactness_n if_o the_o needle_n be_v good_a the_o card_n well_o divide_v and_o the_o degree_n by_o a_o good_a eye_n true_o estimate_v the_o circumferentor_n for_o large_a and_o spacious_a ground_n be_v as_o good_a as_o any_o and_o therefore_o observe_v well_o the_o manner_n of_o protract_v chap._n xxxvi_o how_o to_o protract_v any_o observation_n take_v by_o the_o circumferentor_n according_a to_o the_o doctrine_n of_o the_o last_o chapter_n according_a to_o the_o largeness_n of_o your_o plot_n provide_v a_o sheet_n of_o paper_n or_o skin_n of_o parchment_n as_o lmno_n upon_o which_o draw_v the_o line_n lm_o and_o parallel_v thereto_o draw_v divers_a other_o line_n quite_o through_o the_o whole_a paper_n or_o parchment_n as_o the_o prick_a line_n in_o the_o figure_n draw_v between_o lm_o and_o no_o and_o let_v the_o distance_n of_o each_o of_o these_o parallel_v one_o from_o another_o be_v somewhat_o less_o than_o the_o breadth_n of_o the_o scale_n of_o your_o protractor_n these_o parallel_a line_n thus_o draw_v do_v represent_v meridian_n and_o be_v hereafter_o so_o call_v upon_o one_o or_o other_o of_o these_o line_n or_o parallel_n to_o one_o of_o they_o the_o meridian_n line_n of_o your_o protractor_n note_v in_o the_o figure_n thereof_o pa._n 51_o with_o of_o must_v always_o be_v lay_v when_o you_o protract_v any_o observation_n take_v by_o the_o circumferentor_n as_o in_o the_o chapter_n before_o go_v your_o paper_n or_o parchment_n be_v thus_o prepare_v assign_v any_o point_n upon_o any_o of_o the_o meridian_n as_o a_o upon_o which_o point_n place_n the_o centre_n of_o your_o protractor_n lay_v the_o meridian_n line_n thereof_o just_a upon_o the_o meridian_n line_n draw_v upon_o your_o paper_n as_o you_o see_v it_o lie_v in_o the_o figure_n annex_v then_o look_v in_o your_o field-book_n what_o degree_n the_o needle_n cut_v at_o a_o which_o be_v 191_o degree_n now_o because_o the_o degree_n be_v more_o 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and_o through_o it_o draw_v the_o line_n bc_n contain_v 6_o chain_n 83_o link_n 3._o place_v the_o centre_n of_o the_o protractor_n on_o the_o point_n c_o the_o meridian_n line_n thereof_o lie_v parallel_n to_o one_o of_o the_o prick_v meridian_n draw_v on_o the_o paper_n than_o the_o degree_n cut_v by_o the_o needle_n at_o your_o three_o observation_n at_o c_o being_n above_o 180_o namely_o 216_o degree_n 30_o minute_n therefore_o must_v the_o semicircle_n lie_v downward_o then_o make_v a_o mark_n against_o 216_o degree_n 30_o minute_n through_o it_o draw_v the_o line_n cd_o contain_v 7_o chain_n 82_o link_n 4._o lay_v the_o centre_n of_o the_o protractor_n upon_o the_o point_n d_o the_o degree_n cut_v by_o the_o needle_n at_o that_o angle_n be_v 325_o which_o be_v above_o 180_o lay_v the_o semicircle_n of_o the_o protractor_n downward_o and_o against_o 325_o degree_n make_v a_o mark_n with_o your_o protract_n pin_n through_o which_o point_n and_o the_o angle_n d_o draw_v the_o line_n de_fw-fr make_v it_o to_o contain_v 6_o chain_n 96_o link_n 5._o remove_v your_o protractor_n to_o e_o lay_v the_o meridian_n line_n thereof_o upon_o or_o parallel_n to_o one_o of_o the_o meridian_n draw_v upon_o your_o paper_n and_o because_o the_o degree_n cut_v by_o the_o needle_n at_o this_o angle_n be_v less_o than_o 180_o namely_o 12_o degree_n 30_o minute_n therefore_o lay_v the_o semicircle_n of_o the_o protractor_n upward_o and_o make_v a_o mark_n against_o 12_o degree_n 30_o minute_n through_o which_o draw_v the_o line_n of_o contain_v 9_o chain_n 71_o link_n 6._o lay_v the_o centre_n of_o the_o protractor_n upon_o the_o point_n f_o and_o because_o the_o degree_n to_o be_v protract_v be_v above_o 180_o viz._n 342_o degree_n 30_o minute_n lay_v the_o semicircle_n of_o the_o protractor_n downward_o and_o make_v a_o mark_n against_o 342_o degree_n 30_o minute_n draw_v the_o line_n fg_v which_o contain_v 7_o chain_n 54_o link_n and_o in_o this_o manner_n must_v you_o protract_v all_o the_o other_o angle_n g_o h_o and_o k_o and_o more_o if_o the_o field_n have_v consist_v of_o more_o angle_n always_o observe_v this_o for_o a_o general_a rule_n to_o lay_v the_o meridian_n line_n of_o the_o protractor_n upon_o or_o parallel_n to_o one_o of_o the_o meridian_n draw_v upon_o your_o paper_n which_o the_o small_a division_n at_o each_o end_n of_o the_o scale_n of_o the_o protractor_n will_v help_v you_o to_o do_v and_o if_o the_o degree_n you_o be_v to_o protract_v be_v less_o than_o 180_o as_o those_o at_o g_z h_n and_o k_n be_v to_o lay_v the_o semicircle_n of_o the_o protractor_n upward_o or_o from_o you_o and_o if_o they_o be_v above_o 180_o degree_n as_o those_o at_o a_o b_o c_o and_o d_o be_v to_o lay_v the_o semicircle_n downward_o as_o you_o see_v do_v in_o the_o figure_n chap._n xxxvii_o how_o to_o take_v the_o plot_n of_o any_o park_n forrest_n chase_n wood_n ot_fw-mi other_o large_a champion_n plain_a by_o the_o index_n and_o needle_n together_o with_o the_o degree_n on_o the_o frame_n of_o the_o table_n most_o commodious_o supply_v the_o use_n of_o the_o peractor_n the_o use_n of_o the_o plain_a table_n theodolite_n and_o circumferentor_n have_v be_v sufficient_o teach_v in_o the_o precede_a chapter_n and_o their_o agreement_n in_o all_o kind_n of_o practice_n full_o intimate_v so_o that_o you_o may_v perceive_v by_o what_o have_v be_v hitherto_o deliver_v that_o for_o some_o kind_n of_o work_n one_o instrument_n be_v better_a than_o another_o and_o for_o large_a and_o spacious_a business_n the_o circumferentor_n be_v the_o best_a the_o needle_n be_v good_a and_o no_o impediment_n near_o to_o hinder_v the_o play_v or_o virtue_n thereof_o there_o be_v only_o this_o objection_n to_o be_v make_v against_o it_o viz._n that_o the_o degree_n in_o the_o card_n be_v for_o the_o most_o part_n so_o small_a that_o they_o can_v be_v true_o estimate_v and_o so_o may_v occasion_v the_o great_a error_n in_o protraction_n for_o the_o salve_v of_o this_o grand_a inconvenience_n master_n rathborn_a have_v a_o contrivance_n in_o his_o book_n of_o survey_v by_o a_o instrument_n which_o he_o call_v a_o peractor_n which_o be_v no_o other_o than_o a_o theodolite_a only_o the_o box_n and_o needle_n be_v so_o fit_v to_o the_o centre_n of_o the_o instrument_n that_o when_o the_o instrument_n be_v fix_v in_o any_o position_n whatsoever_o the_o index_n may_v be_v turn_v about_o and_o yet_o the_o box_n and_o needle_n remain_v immovable_a the_o benefit_n of_o this_o contrivance_n be_v that_o whereas_o in_o the_o circumferentor_n the_o degree_n be_v cut_v by_o the_o needle_n here_o the_o same_o degree_n be_v cut_v by_o the_o index_n and_o therefore_o be_v large_a the_o use_n whereof_o be_v thus_o place_v the_o peractor_n at_o any_o angle_n of_o a_o field_n and_o turn_v it_o about_o till_o the_o needle_n hang_v direct_o over_o the_o meridian_n line_n in_o the_o card_n then_o fix_v the_o instrument_n there_o and_o turn_v the_o index_n about_o 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will_v reach_v from_o 12_o chain_n 50_o link_n to_o 11_o acre_n 37_o part_n 4._o have_v the_o base_a and_o perpendicular_a of_o a_o triangle_n give_v in_o perch_n to_o find_v the_o content_a in_o acre_n as_o 320_o to_o the_o perpendicular_a so_o the_o length_n of_o the_o base_a to_o the_o content_a in_o acre_n so_o in_o the_o triangle_n labernele_n if_o the_o line_n bd_o be_v take_v for_o the_o perpendicular_a of_o the_o triangle_n than_o the_o length_n of_o the_o base_a be_v 50_o perch_n and_o the_o perpendicular_a 36_o 2_o 5_o the_o area_n will_v be_v find_v to_o be_v 5_o acre_n 22_o part_n which_o be_v 2_o rood_n 30_o perch_n then_o if_o you_o extend_v the_o compass_n from_o 320_o to_o 36_o 2_o 5_o the_o perpendicular_a the_o same_o extent_n will_v reach_v from_o 50_o the_o length_n of_o the_o base_a to_o 5_o acre_n 22_o part_n 5._o the_o base_a and_o perpendicular_a of_o a_o triangle_n be_v give_v in_o chain_n to_o find_v the_o content_a in_o acre_n as_o 20_o to_o the_o 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several_a parcel_n in_o this_o kind_n you_o will_v have_v use_n only_o of_o your_o chain_n then_o when_o you_o begin_v your_o work_n you_o must_v first_o write_v the_o name_n of_o the_o field_n and_o in_o the_o first_o column_n of_o your_o book_n or_o paper_n you_o must_v write_v the_o tenant_n name_n and_o the_o tenor_n by_o which_o he_o hold_v the_o same_o from_o what_o place_n you_o begin_v to_o measure_v and_o upon_o what_o point_n of_o the_o compass_n you_o pass_v from_o thence_o and_o observe_v this_o direction_n in_o all_o the_o rest_n you_o may_v if_o need_v require_v bind_v every_o parcel_n this_o be_v note_v in_o your_o book_n observe_v the_o species_n or_o shape_n of_o the_o furlong_n whether_o it_o be_v all_o of_o one_o length_n or_o not_o if_o of_o one_o length_n than_o you_o need_v take_v the_o length_n thereof_o but_o once_o for_o all_o but_o if_o it_o be_v irregular_a that_o be_v in_o some_o place_n short_a and_o in_o other_o long_o than_o you_o must_v take_v the_o 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