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end_n draw_v line_n perpendicular_a 3,095 5 14.0786 5 true
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ID Title Author Corrected Date of Publication (TCP Date of Publication) STC Words Pages
A26162 The faithfull surveyour discovering divers errours in land measuring, and showing how to measure all manner of ground, and to plot it, and to prove the shutting by the chain onely ... / by George Atwell. Atwell, George. 1658 (1658) Wing A4163; ESTC R24190 96,139 143

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prick_n then_o take_v out_o your_o wire_n and_o set_v one_o foot_n of_o your_o compass_n in_o that_o centre_n and_o open_v the_o other_o ●o_o the_o former_a prick_n and_o there_o draw_v a_o circle_n and_o then_o set_v up_o your_o wire_n upright_o as_o it_o stand_v before_o neither_o deep_a nor_o shallow_a then_o before_o you_o may_v apply_v a_o squire_n to_o it_o to_o see_v it_o stand_v upright_o or_o measure_n with_o your_o compass_n from_o the_o circle_n to_o the_o top_n of_o the_o wire_n if_o it_o be_v alike_o all_o 4_o way_n if_o it_o be_v right_a set_v up_o two_o stick_n right_a in_o a_o line_n between_o it_o
be_v show_v with_o indigo_n and_o azure_a or_o black-lead_a for_o sea_n a_o greenish_a skye-colour_n of_o indigo_n azure_a smalt_n white-lead_a and_o verdigrease_n chap._n xvi_o to_o measure_v all_o manner_n of_o ground_n by_o the_o pandoron_n or_o any_o other_o graduate_v instrument_n the_o pandoron_n be_v a_o instrument_n compound_v of_o first_o a_o ordinary_a foot_n with_o three_o leg_n for_o a_o plain_a table_n second_o a_o table_n and_o folding-ruler_n like_o it_o save_v that_o it_o be_v a_o true_a square_n three_o the_o box_n and_o needle_n four_o it_o have_v on_o one_o corner_n a_o centre_n in_o which_o be_v a_o screw-pin_n on_o which_o a_o movable_a ruler_n with_o sight_n turn_v five_o in_o the_o two_o outside_n further_a from_o the_o centre_n be_v draw_v the_o quadrate_n for_o terrestrial_a altitude_n and_o distance_n six_o next_o to_o it_o be_v the_o limb_n of_o the_o quadrant_n both_o for_o celestial_a and_o terrestrial_a altitude_n and_o distance_n whether_o upright_o 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the_o rest_n of_o it_o afterward_o yet_o all_o at_o the_o same_o station_n and_o then_o plot_v it_o by_o your_o scale_n of_o chord_n indeed_o by_o the_o circumferentor_n you_o take_v all_o the_o angle_n by_o observe_v the_o cut_n of_o the_o south-end_n of_o the_o needle_n and_o then_o either_o plot_v the_o angle_n by_o a_o protractor_n and_o the_o line_n by_o a_o scale_n of_o equal_a part_n or_o else_o you_o may_v plot_v the_o angle_n either_o by_o your_o scale_n of_o chord_n or_o by_o the_o circumferentor_n itself_o both_o which_o i_o hold_v better_a way_n then_o the_o first_o so_o that_o there_o be_v nothing_o desirable_a in_o a_o observe_a instrument_n but_o this_o give_v it_o it_o so_o please_v mr._n hender_n roberts_n the_o lord_n robert_n young_a son_n a_o gentleman_n every_o way_n fit_v with_o a_o genius_n for_o the_o mathematics_n who_o i_o can_v name_v without_o honour_n who_o have_v the_o first_o of_o they_o to_o give_v it_o the_o name_n of_o 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d omne_fw-la donum_fw-la so_o that_o in_o show_v the_o use_n of_o it_o as_o it_o be_v a_o quadrant_n we_o shall_v with_o the_o same_o labour_n show_v the_o use_n of_o all_o graduated_a instrument_n in_o measure_v of_o land_n and_o as_o for_o work_v by_o it_o as_o by_o the_o plain-table_n we_o refer_v you_o to_o the_o ten_o first_o chapter_n of_o this_o book_n now_o therefore_o for_o work_v by_o the_o quadrant_n yet_o herein_o we_o will_v speak_v of_o nothing_o but_o what_o be_v within_o the_o station-line_n content_v ourselves_o for_o the_o rest_n with_o that_o which_o have_v be_v speak_v before_o in_o the_o use_n of_o the_o plain-table_n all_o the_o difference_n consist_v in_o three_o thing_n first_o the_o take_n of_o the_o angle_n second_o in_o keep_v the_o field-book_n three_o in_o plot_v instrument_n now_o for_o your_o plot_v it_o first_o draw_v the_o line_n ab_fw-la set_v out_o 20_o of_o your_o scale_n of_o equal_a part_n upon_o it_o then_o take_v always_o 60_o off_o your_o scale_n of_o chord_n set_v one_o foot_n at_o the_o end_n of_o your_o 20_o in_o b_o and_o with_o the_o other_o foot_n tran_v always_o from_o the_o last_o line_n which_o here_o be_v ab_fw-la towards_o the_o place_n where_o you_o think_v your_o next_o line_n bc_n will_v fall_v then_o take_v your_o angle_n b_o which_o be_v 60_o and_o set_v it_o in_o the_o say_a tran_v from_o the_o line_n ab_fw-la forward_o there_o make_v a_o prick_n and_o from_o b_o through_o that_o prick_n draw_v the_o line_n bc_n ad_fw-la infinitum_fw-la in_o which_o line_n set_v out_o ●8_o of_o equal_a part_n there_o make_v a_o prick_n for_o your_o station_n c._n then_o take_v again_o your_o 60_o of_o chord_n set_v one_o foot_n in_o c_o and_o tran_v from_o the_o last_o line_n bc_n towards_o cd_o now_o because_o your_o angle_n c_o be_v more_o than_o 90_o and_o that_o your_o compass_n tran_v at_o 60_o therefore_o first_o set_v out_o that_o 60_o in_o the_o say_v tran_v to_o b_o and_o because_o there_o want_v yet_o 46_o of_o 106_o therefore_o take_v those_o 46_o with_o your_o compass_n and_o set_v they_o on_o forward_o from_o 60_o there_o make_v a_o prick_n and_o draw_v your_o line_n cd_o through_o it_o and_o so_o of_o the_o rest_n so_o that_o there_o be_v but_o these_o thing_n first_o draw_v a_o station-line_n second_o tran_v your_o angle_n with_o 60_o of_o chord_n three_o prick_v out_o the_o degree_n of_o that_o angle_n chap._n xvii_o in_o measure_v by_o graduated_a instrument_n to_o know_v if_o your_o plot_n will_v shut_v or_o no._n because_o in_o work_v by_o graduated_a instrument_n you_o always_o plot_n at_o home_n but_o never_o in_o the_o field_n and_o that_o if_o any_o thing_n be_v mistake_v in_o the_o field_n as_o oft_o it_o come_v to_o pass_v to_o be_v so_o then_o will_v not_o your_o plot_n shut_v at_o home_n therefore_o either_o you_o must_v look_v to_o your_o needle_n at_o every_o plantation_n or_o else_o you_o must_v measure_v all_o the_o angle_n which_o by_o the_o plain-table_n you_o need_v not_o do_v therefore_o with_o such_o instrument_n the_o needle_n be_v more_o needful_a then_o with_o the_o plain-table_n and_o yet_o the_o circumferentor_n will_v hardly_o help_v you_o herein_o neither_o though_o you_o work_v all_o by_o the_o needle_n unless_o you_o work_v by_o take_v angle_n by_o it_o which_o be_v the_o slow_a way_n now_o have_v measure_v all_o the_o angle_n if_o on_o the_o inside_n of_o a_o ground_n because_o all_o the_o three_o angle_n of_o a_o right_a line_n triangle_n be_v equal_a to_o two_o right_a angle_n or_o 180_o degree_n and_o that_o there_o be_v so_o many_o triangle_n save_o two_o as_o be_v angle_n therefore_o if_o you_o reckon_v so_o many_o angle_n save_o two_o for_o each_o of_o they_o 180_o and_o find_v that_o and_o the_o quantity_n of_o all_o your_o angle_n to_o agree_v there_o be_v great_a hope_n your_o plot_n will_v shut_v else_o not_o as_o if_o there_o be_v a_o triangle_n they_o must_v all_o make_v 180_o if_o a_o quadrangle_n 360_o if_o a_o pentangle_v 540_o a_o hexangle_n 720_o a_o septangle_n 800_o a_o octangle_n 950_o but_o if_o you_o measure_v on_o the_o out_o side_n as_o a_o wood_n than_o every_o outward_a angle_n be_v the_o compliment_n to_o 360_o of_o its_o inner_a angle_n therefore_o to_o take_v all_o those_o compliment_n be_v your_o best_a way_n both_o to_o prove_v and_o plot_v it_o by_o and_o less_o labour_n if_o you_o be_v far_o from_o your_o mark_n and_o not_o to_o go_v to_o it_o again_o it_o ofttimes_o will_v quit_v your_o pain_n lest_o you_o be_v force_v to_o spend_v perhaps_o a_o whole_a days-work_n about_o that_o you_o have_v do_v or_o at_o least_o will_v have_v do_v already_o to_o prove_v your_o angle_n after_o this_o manner_n chap._n xviii_o
to_o take_v terrestrial_a distance_n by_o the_o plain-table_n or_o pandoron_n a●_n by_o the_o table_n we_o have_v speak_v of_o take_v they_o by_o the_o chain_n only_o in_o chap._n 13._o between_o that_o and_o this_o there_o be_v very_o little_a difference_n we_o will_v here_o suppose_v the_o same_o opposition_n as_o there_o viz._n two_o house_n beyond_o a_o river_n between_o which_o i_o desire_v the_o distance_n also_o between_o each_o of_o they_o and_o each_o of_o my_o station_n the_o chief_a difference_n be_v this_o that_o by_o this_o your_o best_a way_n be_v to_o have_v your_o station-line_n as_o near_o the_o river_n as_o you_o can_v which_o let_v be_v as_o before_o ab_fw-la 40_o pole_n long_o first_o set_v your_o instrument_n at_o a_o and_o turn_v the_o sight_n to_o dc_o and_o b_o and_o draw_v their_o line_n measure_v thence_o to_o b_o 40_o pole_n there_o make_v a_o prick_n but_o lay_v down_o your_o 40_o pole_n with_o a_o very_a small_a seal_n if_o the_o distance_n be_v long_o so_o 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