Selected quad for the lemma: end_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
end_n	draw_v	line_n	perpendicular_a	3,095	5	14.0786	5	true

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A52120	The country-survey-book: or Land-meters vade-mecum Wherein the principles and practical rules for surveying of land, are so plainly (though briefly) delivered, that any one of ordinary parts (understanding how to add, substract, multiply and divide,) may by the help of this small treatise alone and a few cheap instruments easy to be procured, measure a parcel of land, and with judgment and expedition plot it, and give up the content thereof. With an appendix, containing twelve problems touching compound interest and annuities; and a method to contract the work of fellowship and alligation alternate, very considerably in many cases. Illustrated with copper plates. By Adam Martindale, a friend to mathematical learning.	Martindale, Adam, 1623-1686.; Collins, John, 1625-1683.	1692 (1692)	Wing M854A; ESTC R217468	73,611	191

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the_o same_o distance_n or_o extent_n set_v one_o foot_n in_o a_o and_o with_o the_o other_o describe_v the_o arch_n cross_v the_o arch_n open_v in_o n_o from_o which_o intersection_n a_o line_n draw_v by_o a_o rule_n to_o a_o and_o another_o to_z d_o finish_v the_o geometrical_a square_n or_o quadrant_n acdn._n ix_o to_o make_v a_o long_a square_n the_o length_n and_o breadth_n be_v give_v this_o be_v so_o like_o the_o former_a that_o a_o particular_a figure_n be_v not_o necessary_a to_o conceive_v of_o it_o suppose_v each_o side_n of_o the_o square_n in_o the_o last_o problem_n to_o consist_v of_o 8_o small_a equal_a part_n and_o you_o be_v to_o make_v a_o long_a square_n who_o length_n must_v be_v equal_a to_o a_o side_n thereof_o viz._n 8._o and_o the_o breadth_n half_o so_o much_o give_v in_o a_o line_n thus_o 4_o then_o when_o you_o have_v draw_v the_o line_n cd_o for_o the_o length_n and_o raise_v the_o perpendicular_a at_o c_z you_o must_v take_v the_o short_a line_n give_v for_o the_o breadth_n and_o set_v it_o upon_o the_o perpendicular_a from_o c_z upward_o to_o a_o point_n which_o for_o distinction_n we_o shall_v call_v the_o point_n e_o imagine_v it_o so_o mark_v with_o the_o same_o extent_n of_o the_o compass_n describe_v the_o arch_n place_v to_o that_o purpose_n one_o foot_n in_o d._n last_o extend_v your_o compass_n to_o the_o length_n of_o the_o line_n cd_o set_v one_o foot_n in_o e_o and_o with_o the_o other_o across_o the_o arch_a aforesaid_a then_o a_o right_a line_n draw_v from_o that_o intersection_n to_o e_o and_o another_o from_o the_o same_o to_o d_o complete_a the_o long_a square_n x._o to_o make_v a_o rbombus_n the_o side_n be_v give_v fig._n 8_o if_o the_o angle_n be_v not_o limit_v draw_v any_o oblique_a angle_n at_o pleasure_n either_o acute_a or_o obtuse_a as_o here_o the_o angle_n bac_n which_o be_v acute_a then_o let_v the_o line_n open_v be_v the_o length_n of_o a_o side_n which_o be_v take_v with_o your_o compass_n set_v it_o from_o the_o angular_a point_n a_o in_o both_o line_n to_o d_o and_o e_z in_o which_o two_o point_n place_v a_o foot_n of_o your_o compass_n successive_o without_o alter_v they_o viz._n in_o d_o to_o describe_v the_o arch_a fg_n and_o in_o e_z to_o describe_v the_o arch_n he_o cross_v one_o another_o in_o the_o point_n k_o from_o which_o right_a line_n draw_v to_o d_o and_o e_z finish_v the_o rhombus_fw-la daek_v note_v ☞_o if_o any_o angle_n be_v give_v together_o with_o the_o side_n to_o limit_v the_o shape_n and_o content_n begin_v with_o that_o and_o proceed_v as_o before_o for_o you_o must_v

10_o 11_o 12_o 16_o 20_o 24_o 30_o etc._n etc._n in_o a_o inch._n fi._n 13_o that_o short_a one_o which_o i_o give_v you_o the_o figure_n of_o at_o a_o be_v of_o 10_o in_o a_o inch_n so_o note_v at_o the_o top_n according_a as_o be_v usual_a upon_o rule_n and_o indices_fw-la of_o plain_a table_n the_o line_n mark_v oq_fw-la separate_v unite_v and_o tent_n unite_v being_n take_v upward_o from_o that_o line_n and_o ten_o downward_o mix_v number_n both_o way_n as_o for_o example_n 7_o be_v the_o extent_n of_o the_o compass_n upon_o the_o scale_n a_o from_o the_o line_n oq_fw-la to_o k_o 30_o be_v their_o extent_n from_o the_o line_n so_o mark_v to_o oq_fw-la and_o 27_o be_v their_o extent_n from_o the_o line_n 20_o to_o the_o short_a line_n k_n aforesaid_a here_o note_n that_o you_o must_v not_o expect_v to_o find_v the_o letter_n oq_fw-la or_o k_o upon_o the_o scale_n which_o you_o buy_v be_v only_o mark_v use_v at_o pleasure_n to_o make_v my_o meaning_n plain_a and_o likewise_o that_o this_o scale_n of_o 10_o in_o a_o inch_n and_o other_o that_o be_v small_a all_o be_v compose_v after_o the_o same_o manner_n be_v usual_o make_v for_o more_o convenient_a use_n so_o long_o as_o to_o contain_v nine_o or_o ten_o the_o more_o the_o better_o of_o the_o great_a division_n signify_v ten_o though_o the_o figure_n at_o a_o be_v design_v for_o no_o other_o use_n than_o to_o help_v your_o conception_n extend_v but_o a_o little_a beyond_o 30_o that_o length_n be_v sufficient_a for_o my_o purpose_n in_o this_o place_n fi._n 14_o these_o plain_a scale_n especial_o the_o small_a sort_n of_o they_o such_o as_o 24_o or_o 30_o in_o a_o inch_n be_v very_o proper_a for_o draw_v figure_n upon_o paper_n where_o the_o number_n represent_v by_o the_o line_n be_v not_o above_o 100_o for_o then_o every_o division_n may_v be_v count_v as_o it_o be_v upon_o the_o scale_n or_o above_o upon_o a_o long_a scale_n also_o in_o the_o survey_v of_o forest_n chase_n and_o great_a commons_o where_o the_o line_n be_v vast_o long_a and_o the_o mistake_n of_o a_o few_o link_n yea_o of_o half_a a_o pole_n be_v not_o considerable_a they_o may_v be_v convenient_o use_v account_v the_o ten_o and_o unite_v to_o signify_v so_o many_o whole_a chain_n and_o so_o estimate_v the_o part_n of_o a_o chain_n with_o the_o compass_n upon_o the_o small_a division_n which_o a_o sagacious_a man_n may_v do_v very_o near_o upon_o one_o of_o the_o large_a scale_n but_o it_o be_v much_o better_o in_o my_o opinion_n for_o ordinary_a measure_n if_o the_o grand_a division_n on_o the_o scale_n be_v two_o inch_n a_o piece_n as_o i_o have_v one_o upon_o the_o index_n of_o my_o plain_a table_n for_o then_o the_o small_a division_n be_v of_o five_o in_o a_o inch_n will_v be_v so_o large_a as_o to_o be_v subdivide_v into_o five_o apiece_o which_o represent_v 20_o link_n and_o then_o the_o half_a of_o one_o of_o those_o small_a division_n signify_v 10_o link_n and_o the_o quarter_n 5_o a_o very_a ordinary_a judgement_n may_v come_v very_o near_o to_o the_o truth_n by_o estimation_n 2._o but_o the_o diagonal_a scale_n be_v so_o well_o know_v to_o every_o mathematical_a instrument-maker_n so_o easy_a to_o be_v procure_v and_o every_o way_n so_o fit_v to_o gunter_n chain_n and_o our_o countryman_n use_n that_o i_o can_v but_o high_o commend_v it_o of_o these_o diagonal_a scale_n there_o be_v two_o sort_n the_o old_a and_o new_a fi._n 14_o by_o the_o old_a one_o i_o mean_v such_o as_o be_v to_o be_v find_v in_o mr._n leybourn_n book_n whereof_o i_o shall_v present_v you_o with_o a_o fragment_n with_o such_o a_o description_n as_o may_v enable_v you_o to_o understand_v the_o whole_a 1._o it_o be_v make_v as_o appear_v by_o the_o figure_n b_o upon_o eleven_o parallel_a line_n equidistant_a so_o as_o to_o include_v ten_o equal_a space_n which_o be_v all_o cut_v at_o right_a angle_n by_o transwerse_a line_n divide_v they_o all_o into_o four_o equal_a part_n 2._o one_o of_o these_o transverse_a line_n viz_o pr._n where_o it_o touch_v the_o first_o and_o last_o line_n separate_v between_o the_o hundred_o or_o whole_a chain_n and_o the_o ten_o represent_v 10_o link_n apiece_o the_o chain_n be_v number_v downward_o on_o the_o left_a hand_n from_o p_o only_o to_o 3_o but_o on_o the_o instrument_n itself_o they_o may_v go_v on_o to_o 9_o or_o 10_o the_o rule_n be_v a_o foot_n long_o but_o the_o ten_o or_o decade_n upward_o from_o p_o to_o 10._o 3._o from_o the_o point_n of_o division_n into_o ten_o upon_o the_o first_o line_n begin_v at_o p_o to_o the_o like_a point_n begin_v at_o r_o in_o the_o last_o line_n be_v nine_o diagonal_a line_n draw_v the_o first_o beginning_n at_o p_o and_o end_v at_o the_o first_o division_n above_o r._n the_o second_o beginning_n at_o the_o first_o division_n above_o p_o and_o end_v at_o the_o second_o above_o r._n in_o a_o word_n they_o be_v all_o draw_v from_o one_o division_n less_o from_o p_o to_o one_o more_o from_o r_o by_o which_o it_o come_v to_o pass_v that_o every_o diagonal_a by_o that_o time_n it_o have_v pass_v from_o the_o first_o line_n to_o the_o eleven_o be_v a_o whole_a ten_o part_n of_o a_o inch_n which_o answer_v to_o ten_o link_n of_o the_o chain_n far_o distant_a from_o the_o line_n pr._n than_o at_o the_o point_n upon_o the_o first_o line_n whence_o it_o be_v draw_v fi._n 14_o 4._o every_o one_o of_o these_o diagonal_o be_v divide_v into_o ten_o equal_a part_n by_o the_o long_a parallel_n line_n run_v through_o the_o whole_a scale_n and_o number_v on_o the_o top_n from_o 1_o to_o 9_o whereby_o it_o be_v evident_a that_o the_o intersection_n of_o any_o of_o the_o nine_o parallel_a line_n that_o be_v number_v at_o the_o head_n with_o any_o diagonal_a must_v be_v far_a distant_a from_o the_o line_n pr._n than_o the_o intersection_n of_o the_o line_n next_o before_o it_o with_o the_o same_o diagonal_a by_o of_o that_o be_v by_o which_o answer_v to_o a_o single_a link_n of_o your_o chain_n from_o what_o have_v be_v say_v and_o inspection_n of_o the_o figure_n b_o these_o thing_n plain_o follow_v which_o as_o so_o many_o clear_a instance_n will_v help_v you_o to_o understand_v it_o full_o 1._o the_o distance_n from_o pr._n to_o the_o second_o division_n below_o it_o answer_v to_o two_o chain_n 2._o the_o distance_n from_o pr._n to_o the_o eight_o division_n upward_o be_v take_v with_o compass_n upon_o the_o first_o line_n of_o the_o eleven_o from_o p_o to_o 8_o answer_v to_o 80_o link_n 3._o consequent_o the_o extent_n of_o the_o compass_n from_o the_o second_o grand_a division_n below_o p_o to_o the_o eight_o of_o the_o less_o division_n upward_o be_v proportionable_a to_o 2_o chain_n 80_o link_n 4._o the_o distance_n from_o pr._n to_o the_o first_o diagonal_a be_v take_v upon_o the_o parallel_a line_n note_v with_o 9_o above_o answer_v to_o 9_o link_n where_o note_n that_o the_o first_o diagonal_n be_v not_o that_o which_o be_v note_v with_o 1_o but_o that_o which_o be_v draw_v from_o the_o point_n p._n 5._o the_o distance_n upon_o the_o same_o line_n from_o pr._n to_o the_o diagonal_a that_o be_v mark_v with_o 7_o be_v answerable_a to_o 79_o link_n fi._n 14_o 6._o the_o extent_n of_o the_o compass_n from_o the_o bottom_n of_o the_o figure_n b_o upon_o the_o same_o line_n to_o the_o same_o diagonal_a answer_v to_o 3_o chain_n 79_o link_n brief_o whole_a chain_n may_v by_o analogy_n be_v measure_v upon_o any_o line_n from_o pr._n to_o the_o grand_a division_n note_v with_o the_o give_v number_n decade_n alone_o or_o chain_n and_o decade_n upon_o the_o first_o line_n of_o the_o eleven_o where_o the_o diagonal_n begin_v link_n alone_o decade_n with_o link_n and_o chain_n and_o decade_n with_o link_n always_o upon_o that_o line_n upon_o which_o the_o number_n ofodd_a link_n stand_v at_o the_o head_n of_o the_o scale_n and_o know_v ☜_o that_o these_o direction_n mutatis_fw-la mutandis_fw-la will_v as_o well_o fit_a if_o half_a a_o inch_n be_v only_o allow_v for_o a_o chain_n and_o consequent_o all_o the_o diagonal_o draw_v within_o that_o extent_n as_o it_o be_v usual_a and_o very_o commodious_a for_o long_a line_n upon_o the_o other_o end_n of_o the_o same_o rule_n the_o grand_a division_n for_o chain_n go_v the_o contrary_a way_n ●nd_v note_v with_o numeral_a figure_n in_o order_n it_o 〈◊〉_d good_a therefore_o when_o you_o furnish_v yourself_o with_o scale_n to_o have_v diagonal_a scale_n of_o both_o dimension_n on_o the_o fore-side_n of_o your_o rule_n and_o upon_o the_o backside_n many_o plain_a scale_n of_o equal_a part_n with_o a_o line_n of_o chord_n all_o which_o you_o may_v have_v by_o inquire_v only_o for_o

the_o instrument_n and_o also_o for_o measure_v the_o stationary-line_n on_o the_o ground_n and_o protract_v they_o on_o the_o paper_n as_o be_v manifest_a in_o this_o example_n fig._n 29_o let_v abcdef_n be_v a_o park-pond_n or_o close_a to_o be_v protract_v i_o first_o plant_v my_o instrument_n at_o a_o and_o direct_v the_o sight_n to_o a_o mark_n in_o the_o angle_n b_o draw_v a_o dry_a line_n from_o a_o convenient_a poin●_n on_o my_o paper_n towards_o b_o on_o the_o ground_n and_o have_v measure_v by_o my_o chain_n the_o distance_n ab_fw-la i_o set_v it_o by_o a_o scale_n upon_o the_o correspondent_a line_n from_o a_o to_o b_o drawing_z a_o black-line_n between_o they_o with_o ink_n or_o a_o lead-pen_n the_o extremity_n whereof_o be_v the_o point_n a_o and_o b_o on_o my_o paper_n and_o the_o little_a prick_v line_n that_o go_v beyond_o b_o represent_v the_o remainder_n of_o the_o dry_a line_n draw_v at_o random_n as_o to_o length_n with_o the_o point_n of_o the_o compass_n then_o set_v up_o a_o mark_n at_o a_o if_o there_o be_v none_o before_o i_o remove_v the_o instrument_n to_o b_o and_o lay_v the_o fiducial_a edge_n to_o the_o line_n ab_fw-la i_o turn_v about_o the_o instrument_n upon_o the_o saff_n till_o through_o the_o sight_n i_o perceive_v the_o thread_n cut_v the_o mark_n at_o a_o and_o my_o needle_n if_o i_o have_v one_o direct_o over_o the_o same_o point_n that_o it_o be_v when_o it_o be_v plant_v at_o a_o and_o so_o screw_v it_o fast_o my_o next_o work_n be_v to_o lay_v the_o fiducial_a edge_n to_o the_o point_n b_o and_o direct_v the_o sight_n to_o c_o draw_v a_o dry_a line_n towards_o it_o and_o set_v the_o distance_n bc_n measure_v by_o the_o chain_n from_o b_o to_o c._n in_o this_o manner_n i_o proceed_v surround_v the_o close_a till_o i_o come_v at_o last_o to_o a_o where_o i_o begin_v by_o plant_v the_o instrument_n at_o every_o angle_n use_v the_o help_n of_o back-sight_n and_o my_o needle_n as_o i_o do_v at_o b_o and_o then_o from_o the_o point_n represent_v my_o present_a station_n direct_v the_o sight_n to_o the_o next_o angle_n as_o i_o do_v from_o b_o to_o c._n in_o the_o second_o case_n we_o do_v not_o plant_v the_o instrument_n at_o every_o angle_n but_o at_o the_o more_o considerable_a take_v in_o the_o small_a by_o their_o perpendicular_o from_o the_o base_a as_o we_o pass_v along_o of_o which_o this_o follow_a figure_n may_v be_v a_o instance_n fig._n 30_o let_v abcdefghikl_n be_v a_o close_a to_o be_v measure_v by_o plant_v the_o instrument_n only_o at_o acf_n and_o k_n i_o have_v the_o main_a substance_n of_o the_o close_a in_o the_o trapezium_fw-la acfk_n and_o for_o the_o five_o small_a triangle_n which_o must_v be_v add_v to_o the_o trapezium_fw-la they_o may_v be_v easy_o protract_v by_o the_o help_n of_o such_o a_o little_a square_a as_o be_v mention_v towards_o the_o latter_a end_n of_o the_o ten_o chapter_n for_o thereby_o find_v at_o how_o many_o chain_n and_o link_n distance_n from_o a_o upon_o the_o ground_n the_o perpendicular_a b_o b_o fall_v upon_o the_o line_n ac_fw-la and_o have_v measure_v the_o length_n of_o that_o perpendicular_a and_o take_v it_o between_o my_o compass-point_n off_o my_o scale_n i_o erect_v a_o perpendicular_a of_o that_o length_n at_o b_o which_o be_v the_o point_n upon_o the_o paper_n where_o so_o many_o chain_n and_o link_n determine_v as_o be_v measure_v upon_o the_o ground_n from_o the_o angle_n a_o to_o the_o place_n where_o the_o perpendicular_a fall_v on_o ac_fw-la viz._n at_o b._n just_o in_o the_o same_o manner_n i_o raise_v the_o other_o perpendicular_o dd_v gg_n two_o and_o will_v and_o then_o by_o the_o help_n of_o the_o perpendicular_o i_o draw_v from_o and_o to_o the_o proper_a angle_n the_o boundary-line_n ab_fw-la bc_n cd_o de_fw-fr fg_n gh_o he_o ik_fw-mi k_o l_o la_fw-fr which_o together_o with_o the_o line_n of_o between_o the_o angle_n e_o and_o f_o give_v the_o true_a plot_n of_o the_o field_n in_o one_o large_a trapezium_fw-la and_o five_o small_a triangle_n ready_a for_o cast_v up_o the_o three_o case_n be_v so_o like_o the_o second_o that_o there_o need_v no_o new_a direction_n concern_v it_o but_o to_o annex_v one_o plain_a diagram_n all_o the_o difference_n consist_v in_o this_o that_o because_o we_o can_v go_v within_o it_o be_v suppose_v to_o be_v some_o pool_n bog_n or_o thicket_n we_o must_v of_o necessity_n go_v on_o the_o outside_n and_o consequent_o all_o the_o triangle_n make_v by_o inward_a angle_n and_o their_o line_n upon_o the_o measure_a base_n must_v be_v exclude_v by_o the_o boundary-line_n from_o be_v any_o part_n of_o the_o plot_n as_o here_o be_v manifest_a fig._n 31_o suppose_v abcdefghiklmn_n open_v to_o be_v a_o great_a pool_n though_o here_o be_v fifteen_o angle_n i_o plant_v my_o table_n only_o five_o time_n viz._n at_o aefh_n and_o m_n and_o upon_o the_o dry_a line_n ae_n fh_o he_o and_o ma_n i_o raise_v their_o perpendicular_o in_o due_a place_n according_a to_o measure_n and_o also_o of_o a_o right_a height_n by_o which_o and_o my_o five_o stationary_a angle_n i_o draw_v the_o bounding-line_n of_o the_o plot_n exclude_v all_o the_o triangle_n as_o foreign_a to_o it_o they_o be_v no_o resemblance_n of_o any_o part_n of_o the_o pool_n but_o of_o land_n adjacent_a where_o note_n 1._o that_o both_o in_o this_o and_o the_o former_a case_n such_o a_o little_a square_a as_o i_o mention_v in_o the_o second_o chapter_n will_v be_v very_o useful_a for_o speedy_a raise_n of_o perdendiculars_n but_o where_o the_o triangle_n be_v very_o small_a it_o need_v not_o be_v use_v not_o the_o other_o mention_a chap._n 10._o 2._o that_o if_o by_o reason_n of_o troublesome_a brush-wood_n gorse_n or_o bog_n etc._n etc._n i_o can_v not_o have_v measure_v close_o to_o the_o side_n of_o he_o or_o lm_o it_o will_v be_v the_o same_o thing_n if_o i_o go_v parallel_v to_o they_o and_o this_o be_v a_o shift_n that_o the_o practical_a surveyor_n will_v oft_o be_v put_v to_o make_v use_n of_o in_o other_o case_n as_o well_o as_o this_o chap._n xv._n concern_v the_o plot_v of_o many_o close_v together_o whether_o the_o ground_n be_v even_o or_o uneven_a though_o i_o design_v not_o so_o high_a in_o this_o manual_a as_o to_o make_v my_o reader_n able_a to_o survey_v lordship_n and_o forest_n much_o less_o to_o draw_v map_n of_o country_n but_o to_o measure_v a_o parcel_n of_o land_n with_o truth_n and_o judgement_n yet_o i_o will_v have_v he_o so_o expert_a as_o not_o to_o be_v puzzle_v if_o any_o shall_v desire_v he_o to_o draw_v as_o it_o be_v a_o true_a map_n of_o a_o tenement_n or_o small_a demesn_a consist_v of_o several_a close_n for_o which_o purpose_n let_v he_o that_o know_v no_o better_a observe_v this_o method_n fig._n 32_o suppose_v abcdefghiklm_n to_o be_v a_o tenement_n or_o small_a demesn_a divide_v into_o fourteen_o close_n to_o be_v measure_v and_o protract_v according_a to_o their_o several_a shape_n and_o situation_n i_o first_o draw_v the_o plot_n of_o the_o whole_a by_o the_o method_n of_o circuition_n plant_v my_o instrument_n either_o at_o every_o angle_n or_o only_o the_o most_o considerable_a either_o within_o or_o without_o as_o i_o find_v most_o convenient_a this_o be_v do_v a_o line_n from_o b_o to_o m_n give_v the_o triangle_n abm_n from_o the_o first_o close_n in_o the_o next_o place_n i_o go_v round_a the_o second_o close_a beginning_n at_o m_n then_o to_o b_o and_o so_o about_o cum_fw-la scle_n to_o m_n again_o and_o then_o for_o the_o three_o close_n i_o plant_v my_o table_n at_o c_o and_o etc_o round_o to_o b_o the_o line_n bc_n be_v protract_v already_o and_o so_o of_o all_o the_o rest_n still_o observe_v which_o be_v common_a line_n belong_v to_o several_a close_n represent_v the_o fence_n that_o i_o may_v avoid_v the_o trouble_n of_o measure_v ●hose_v line_n often_o than_o once_o and_o lay_v ever●_n part_n of_o eu●●y_o close_a in_o its_o due_a place_n and_o that_o i_o be_v su●●_n to_o keep_v the_o instrument_n throughout_o the_o whole_a work_n to_o its_o true_a position_n by_o needle_n foresight_n and_o back-sight_n there_o be_v i_o confess_v divers_a other_o way_n of_o do_v this_o work_n but_o none_o more_o sure_a or_o plain_a especial_o if_o the_o ground_n be_v uneven_a for_o in_o that_o case_n if_o you_o protract_v according_a to_o the_o length_n of_o line_n measure_v from_o your_o station_n to_o the_o angle_n you_o will_v put_v your_o close_n into_o unproportionable_a shape_n except_o you_o reduce_v hypothenusal_a line_n to_o horizontal_n by_o instrument_n or_o otherwise_o which_o be_v somewhat_o troublesome_a and_o the_o like_a may_v be_v say_v when_o you_o plot_n with_o the_o chain_n only_o indeed_o the_o method_n

of_o measure_v only_o the_o stationary_a distance_n be_v very_o proper_a for_o set_v out_o the_o figure_n of_o each_o particular_a close_a provide_v the_o distance_n of_o the_o station_n be_v large_a and_o take_v if_o possible_a upon_o pretty_a even_a ground_n which_o sometime_o may_v be_v do_v though_o most_o of_o the_o close_a be_v uneven_a and_o the_o work_n so_o order_v as_o not_o to_o make_v too_o acute_a angle_n but_o because_o this_o require_v skill_n and_o care_n i_o rather_o advise_v my_o young_a artist_n to_o use_v the_o circle_a way_n as_o ordinary_o most_o commodious_a in_o my_o poor_a judgement_n but_o not_o prejudice_v other_o man_n that_n may_v differ_v from_o i_o in_o opinion_n and_o where_o need_n require_v let_v he_o observe_v the_o direction_n in_o the_o 17_o chapter_n but_o which_o way_n soever_o you_o go_v to_o work_v ☞_o there_o be_v one_o very_o necessary_a rule_n to_o be_v observe_v if_o the_o ground_n be_v uneven_a considerable_o you_o must_v not_o give_v up_o the_o content_a by_o measure_v the_o base_n and_o perpendicular_o of_o the_o triangle_n on_o the_o paper_n by_o your_o scale_n but_o you_o must_v measure_v the_o line_n correspondent_a to_o they_o on_o the_o ground_n and_o cast_v up_o the_o content_a according_a to_o that_o measure_n and_o if_o it_o be_v desire_v that_o you_o shall_v adjoyn_v to_o your_o plot_n as_o be_v usual_a a_o scale_n of_o chain_n to_o measure_v distance_n by_o you_o must_v either_o by_o make_v the_o form_n of_o hill_n erect_v and_o reverse_v or_o some_o other_o note_n in_o writing_n mark_v out_o your_o uneven_a ground_n lest_o those_o that_o try_v it_o by_o the_o scale_n judge_v your_o work_n erroneous_a for_o though_o you_o make_v that_o scale_n exact_o correspondent_a to_o that_o you_o protract_v by_o as_o you_o ought_v to_o do_v the_o hill_n and_o dale_n in_o the_o ground_n true_o measure_v may_v make_v a_o considerable_a alteration_n it_o be_v convenient_a when_o you_o plant_v your_o table_n that_o the_o needle_n hang_v just_a over_o the_o north-point_n of_o the_o compass_n under_o it_o in_o the_o box_n then_o may_v you_o by_o the_o line_n overthwart_o the_o frame_n of_o the_o table_n easy_o draw_v two_o line_n quite_o through_o the_o plot_n cut_v one_o another_o at_o right_a angle_n the_o one_o point_v at_o north_n and_o south_n and_o the_o other_o at_o east_n and_o west_n and_o if_o your_o skill_n serve_v you_o to_o make_v the_o two_o and_o thirty_o point_n of_o the_o compass_n upon_o the_o place_n where_o they_o intersect_v and_o to_o draw_v the_o form_n of_o the_o house_n wood_n and_o other_o remarkable_a thing_n upon_o the_o demesn_a and_o the_o course_n of_o brook_n and_o river_n run_v through_o it_o it_o will_v add_v to_o your_o commendation_n and_o so_o it_o will_v also_o if_o you_o take_v in_o such_o parcel_n of_o land_n bound_v it_o whether_o common_a or_o peculiar_a to_o other_o man_n as_o will_v make_v your_o plot_n to_o look_v handsome_o like_o a_o perfect_a square_n or_o oblong_o but_o however_o that_o be_v you_o must_v be_v sure_a to_o protract_v true_o all_o lane_n go_v into_o it_o or_o through_o it_o and_o all_o close_v of_o other_o man_n mix_v with_o it_o and_o also_o all_o considerable_a pond_n way_n and_o outlet_n with_o the_o name_n of_o the_o close_n and_o quality_n of_o the_o ground_n whether_o meadow_n pasture_n arable_a etc._n etc._n chap._n xvi_o concern_v shift_n of_o paper_n in_o such_o work_n as_o that_o of_o the_o last_o chapter_n it_o may_v sometime_o fall_v out_o through_o the_o multitude_n and_o largeness_n of_o field_n that_o one_o sheet_n will_v not_o hold_v your_o whole_a plot_n in_o which_o case_n you_o may_v help_v yourself_o by_o shift_a paper_n as_o we_o call_v it_o thus_o fig._n 33_o let_v abcd_n represent_v our_o sheet_n of_o paper_n that_o cover_v the_o table_n upon_o which_o the_o plot_n of_o the_o large_a piece_n of_o land_n efghik_n shall_v be_v draw_v have_v make_v my_o first_o station_n at_o e_o and_o the_o second_o at_o f_o i_o find_v my_o paper_n will_v not_o receive_v the_o line_n fg_v but_o however_o i_o draw_v so_o far_o as_o it_o will_v go_v to_o the_o edge_n of_o the_o paper_n and_o plant_v my_o table_n again_o at_o e_z proceed_v in_o my_o circuition_n the_o contrary_a way_n to_o k_o and_o i_o where_o i_o find_v myself_o again_o at_o a_o loss_n for_o my_o line_n ih_v but_o draw_v it_o also_o to_o the_o edge_n of_o the_o paper_n then_o with_o the_o point_n of_o my_o compass_n strike_v the_o line_n po_n parallel_n to_o the_o edge_n of_o the_o paper_n bc_n and_o the_o line_n qo_n parallel_n to_o dc_o and_o cut_v po_n in_o o_o i_o throw_v aside_o that_o paper_n for_o a_o while_n cover_v the_o instrument_n with_o a_o new_a one_o which_o i_o mark_v with_o the_o figure_n 2_o for_o my_o second_o sheet_n fig._n 34_o upon_o which_o second_o sheet_n the_o lead_a part_n whereof_o be_v represent_v by_o the_o three_o line_n meet_v in_o the_o angular_a point_n a_o and_o b_o i_o draw_v po_n parallel_v to_o ab_fw-la the_o lead_a edge_n of_o the_o paper_n and_o cross_v it_o at_o right_a angle_n in_o the_o point_n o_o by_o a_o parallel_n to_o bc_n viz._n the_o line_n or_o be_v of_o the_o same_o distance_n from_o bc_n that_o qo_o in_o the_o former_a sheet_n be_v from_o dc_o then_o with_o a_o rule_n and_o a_o sharp_a penknife_n i_o cut_v off_o the_o end_n of_o the_o first_o sheet_n at_o the_o line_n po_n and_o apply_v the_o edge_n of_o it_o to_o the_o line_n po_n of_o the_o second_o sheet_n so_o as_o it_o may_v touch_v that_o line_n all_o along_o and_o the_o line_n qo_o of_o the_o former_a touch_v the_o line_n or_o in_o the_o latter_a so_o as_o to_o make_v one_o line_n with_o it_o i_o draw_v the_o line_n pg_n be_v the_o remainder_n of_o the_o line_n fg_v and_o the_o line_n oh_o being_n the_o remainder_n of_o the_o line_n ih_v and_o from_o their_o extremity_n the_o line_n gh_n and_o if_o the_o plot_n require_v it_o you_o may_v proceed_v on_o in_o the_o second_o sheet_n and_o annex_v a_o three_o and_o a_o four_o etc._n etc._n as_o there_o be_v occasion_n these_o sheet_n may_v be_v piece_v together_o with_o mouth-glew_a or_o fine_a paste_n apply_v the_o edge_n of_o the_o former_a as_o you_o do_v upon_o the_o table_n to_o the_o line_n po_n of_o the_o latter_a and_o note_v here_o once_o for_o all_o that_o when_o i_o speak_v of_o apply_v the_o edge_n of_o the_o paper_n to_o a_o line_n i_o mean_v the_o precise_a edge_n cut_v by_o the_o line_n po_n but_o when_o i_o speak_v of_o draw_v line_n to_o the_o edge_n of_o the_o paper_n upon_o the_o table_n i_o hope_v none_o will_v think_v i_o so_o absurd_a as_o to_o mean_v the_o edge_n that_o be_v couch_v under_o the_o frame_n but_o that_o my_o meaning_n be_v that_o the_o line_n must_v be_v continue_v on_o the_o paper_n till_o they_o touch_v the_o frame_n chap._n xvii_o concern_v the_o plot_v of_o a_o town-field_n where_o the_o several_a land_n butt_n or_o doles_n be_v very_o crooked_a with_o a_o note_n concern_v hypothenusal_a or_o sloap_a boundary_n common_a to_o this_o and_o the_o fift●enth_o chapter_n fig._n 35_o suppose_v abcde_v divide_v in_o the_o manner_n of_o a_o common_a field_n into_o seven_o part_n or_o doles_n belong_v to_o seven_o several_a man_n first_o plot_v the_o whole_a as_o before_o have_v be_v teach_v then_o measure_v from_o a_o to_o b_o upon_o the_o land_n set_v one_o note_v down_o as_o you_o go_v along_o at_o how_o many_o chain_n or_o link_n or_o both_o the_o division_n be_v between_o dole_n and_o dole_n and_o according_o mark_v they_o out_o by_o the_o help_n of_o scale_n and_o compass_n in_o the_o line_n ab_fw-la on_o the_o paper_n plot_n in_o the_o very_a same_o manner_n you_o must_v measure_v and_o mark_v out_o the_o line_n oc_fw-fr and_o ed_z which_o be_v do_v take_v the_o paper_n off_o the_o instrument_n and_o lay_v it_o before_o you_o on_o a_o table_n with_o the_o side_n ae_n towards_o you_o the_o compass_n must_v be_v so_o open_v and_o place_v as_o by_o a_o few_o trial_n they_o may_v that_o one_o foot_n rest_v upon_o the_o table_n the_o other_o may_v pass_v through_o the_o point_n of_o division_n upon_o all_o the_o three_o line_n viz._n ab_fw-la oc_fw-la and_o ed_z as_o in_o this_o figure_n they_o do_v if_o the_o content_a of_o any_o one_o or_o more_o of_o these_o part_n butt_n or_o doles_n be_v desire_v without_o plot_v it_o may_v easy_o be_v do_v without_o your_o plain-table_n thus_o take_v the_o breadth_n by_o your_o chain_n at_o the_o head_n middle_a and_o low_a end_n and_o add_v these_o number_n together_o the_o three_o part_n of_o their_o sum_n be_v the_o equated_a breadth_n by_o which_o multiply_v the_o

pass_v upon_o the_o land_n from_o the_o ang●●_n a_o direct_o under_o the_o sight_n of_o the_o instrument_n to_o the_o mark_n at_o f_o be_v as_o it_o be_v the_o pri●●_n diameter_n whence_o the_o degree_n of_o the_o angel_n 〈◊〉_d to_o be_v number_v and_o according_o i_o mark_v th●_n angle_v a_o in_o my_o table_n hereafter_o to_o be_v exempl●●fied_v with_o 360_o degree_n but_o to_o proceed_v turn_v my_o index_n with_o the_o fiducial_a edge_n upon_o 〈◊〉_d centre_n till_o i_o see_v the_o thread_n cut_v the_o ma●●●_n at_o b_o the_o say_a edge_n cut_v upon_o the_o frame_n at_o 〈◊〉_d deg._n 15._o min._n which_o i_o note_v down_o for_o that_o angle_n the_o like_a work_n i_o do_v turn_v the_o sight_n to_o cd_o and_o d_o but_o not_o to_o f_o for_o there_o be_v no_o angle_n but_o only_o a_o mark_n in_o the_o boundary_a and_o i_o find_v my_o index_n to_o cut_v for_o every_o angle_n as_o i_o have_v mark_v they_o within_o the_o prick_a circle_n of_o the_o last_o figure_n viz._n 157_o deg._n 35_o min._n for_o c_o 225_o deg._n 20_o min._n for_o d_o and_o 278_o deg._n and_o 50_o min._n for_o e._n then_o i_o measure_v or_o cause_n to_o be_v strict_o measure_v by_o other_o the_o distance_n betwixt_o the_o place_n where_o the_o instrument_n stand_v and_o every_o angle_n and_o find_v they_o to_o be_v as_o i_o have_v set_v they_o upon_o the_o prick_a line_n in_o the_o little_a circle_n viz._n a4_n chain_n ●0_n link_n b4_n chain_n 3_o link_n c3_n ch._n 84_o li._n d5_n ch._n 35_o li._n e5_n cha._n 6_o l._n and_o now_o my_o table_n both_o for_o line_n and_o angle_n be_v thus_o perfect_v and_o the_o work_n be_v ready_a for_o protraction_n within_o door_n  _fw-fr d._n m._n c._n l_o a_o 360_o 00_o 4_o 20_o b_o 76_o 15_o 4_o 03_o c_o 157_o 35_o 3_o 84_o d_o 225_o 20_o 5_o 35_o e_z 278_o 50_o 6_o 06_o your_o judgement_n will_v easy_o inform_v you_o that_o in_o such_o weather_n we_o shall_v hardly_o stand_v to_o make_v our_o table_n neat_a and_o formal_a but_o any_o thing_n how_o rude_a soever_o that_o we_o can_v understand_v do_v the_o feat_n a_o welsh_a slate_n with_o a_o sharp_a style_n or_o for_o want_v thereof_o a_o black-lead_a pen_n and_o a_o smooth_a end_n of_o a_o hard_a board_n like_o a_o trencher_n be_v more_o convenient_a at_o such_o a_o season_n than_o pen_n ink_n and_o paper_n but_o of_o all_o i_o will_v commend_v for_o expedition_n a_o red-lead_a pen_n ☜_o whereby_o you_o may_v mark_v out_o every_o angle_n neat_o with_o one_o touch_n upon_o the_o table_n itself_o just_o where_o it_o touch_v the_o frame_n by_o help_n of_o the_o fiducial_a edge_n and_o close_o by_o it_o the_o length_n of_o the_o line_n from_o the_o centre_n to_o that_o angle_n all_o which_o may_v be_v easy_o clear_v off_o by_o a_o wet_a sponge_n or_o cloth_n so_o soon_o as_o you_o have_v protract_v or_o if_o through_o the_o sponginess_n of_o the_o wood_n the_o head_n of_o the_o table_n which_o we_o use_v to_o cover_v with_o paper_n be_v make_v a_o little_a radish_n what_o great_a harm_n be_v that_o we_o be_v force_v to_o do_v it_o more_o real_a wrong_n by_o the_o point_n of_o the_o compass_n in_o the_o ordinary_a way_n now_o to_o protract_v our_o observation_n i_o draw_v upon_o a_o paper_n the_o line_n of_o at_o adventure_n so_o it_o be_v long_o enough_o and_o stick_v a_o pin_n in_o it_o at_o pleasure_n for_o the_o centre_n o_o upon_o which_o i_o place_v the_o centre_n of_o the_o protractor_n so_o as_o the_o straight_a side_n or_o diameter_n of_o the_o protractor_n may_v just_o lie_v upon_o the_o line_n of_o the_o limb_n or_o arched-side_n be_v upward_o towards_o b_o by_o help_n whereof_o i_o make_v a_o prick_n or_o point_n on_o the_o paper_n at_o 76_o deg._n 15_o min._n for_o b_o and_o at_o 157_o deg._n 35_o min._n for_o c_o according_a to_o the_o number_n near_a to_o the_o limb._n then_o turn_v the_o protractor_n about_o on_o the_o pin_n with_o the_o arch_n or_o limb_n down_o towards_o d_o and_o e_o till_o the_o diameter_n lie_v again_o just_a upon_o the_o line_n of_o i_o number_v downward_o from_o the_o right_a hand_n towards_o the_o left_a by_o that_o rank_n of_o figure_n that_o be_v near_o to_o the_o centre_n begin_v 190_o 200_o etc._n etc._n and_o over_o against_o the_o place_n where_o 225_o deg._n 20_o min._n and_o 278_o deg._n 50_o min._n fall_v i_o prick_v the_o paper_n at_o the_o side_n of_o the_o limb_n and_o through_o those_o four_o point_n i_o draw_v so_o many_o several_a line_n have_v lay_v aside_o the_o protractor_n upon_o which_o and_o also_o upon_o the_o line_n ao_o i_o mark_v out_o by_o point_n the_o true_a measure_n of_o every_o line_n by_o a_o scale_n from_o the_o centre_n and_o from_o those_o point_n draw_v the_o line_n ab_fw-la bc_n cd_o de_fw-fr and_o ea_fw-la i_o have_v the_o true_a plot_n of_o the_o field_n where_o note_n by_o the_o way_n that_o we_o estimate_v minute_n as_o well_o as_o we_o can_v both_o upon_o the_o frame_n of_o the_o plain-table_n and_o the_o protractor_n account_v half_o a_o degree_n 30_o minute_n a_o three_o part_n ●0_n a_o four_o part_n 15_o etc._n etc._n and_o though_o by_o this_o mean_v it_o be_v impossible_a to_o avoid_v small_a error_n it_o be_v easy_a to_o avoid_v sensible_a one_o and_o the_o like_a may_v be_v say_v when_o we_o protract_v by_o a_o line_n of_o chord_n of_o which_o i_o now_o come_v to_o treat_v have_v proceed_v in_o the_o field_n as_o before_o and_o make_v my_o table_n for_o line_n and_o angle_n or_o do_v that_o which_o be_v equivolent_a by_o a_o red-lead_a pen_n i_o draw_v the_o line_n of_o and_o have_v extend_v my_o compass_n to_o the_o radius_fw-la or_o 60_o degree_n on_o a_o line_n of_o chord_n i_o set_v one_o foot_n towards_o the_o middle_n of_o the_o line_n of_o and_o with_o the_o other_o i_o describe_v a_o circle_n like_o that_o in_o this_o figure_n of_o a_o fiveangled_n field_n but_o much_o large_a according_a to_o the_o length_n of_o the_o radius_fw-la then_o extend_v the_o compass_n from_o the_o begin_n of_o the_o line_n to_o 76_o deg._n 15_o min._n i_o set_v one_o foot_n in_o the_o intersection_n of_o the_o circle_n by_o the_o line_n a_o and_o with_o the_o other_o foot_n make_v a_o mark_n in_o the_o circumference_n of_o the_o circle_n upward_o towards_o the_o right-hand_a and_o through_o it_o draw_v the_o dry_a line_n boy_n in_o the_o next_o place_n i_o subtract_v the_o angle_n 76._o 15_o from_o 157._o 35_o where_o the_o index_n cut_v for_o the_o angle_n c_o and_o there_o rest_v 81_o deg._n 20_o min._n which_o i_o take_v off_o the_o line_n as_o before_o and_o set_v it_o upon_o the_o circumference_n from_o the_o intersection_n by_o boy_n towards_o the_o end_n of_o the_o diameter_n mark_v with_o f_o and_o through_o the_o point_n be_v it_o fall_v draw_v the_o dry_a line_n co._n in_o like_a manner_n i_o subtract_v 157_o deg._n 35_o min._n from_o 225_o deg._n 20_o min._n and_o the_o difference_n be_v 67_o deg._n 45_o min._n which_o i_o set_v from_o the_o intersection_n by_o the_o line_n co_z downward_o past_o the_o prime_a diameter_n of_o and_o through_o the_o point_n where_o it_o fall_v draw_v the_o line_n do_v last_o have_v subtract_v 225_o deg._n 20_o min._n from_o 278_o deg._n 50_o min._n there_o rest_v 53_o deg._n 30_o min._n which_o must_v be_v set_v downward_o towards_o the_o left-hand_a from_o the_o intersection_n by_o do_v and_o through_o the_o point_n where_o that_o fall_v i_o draw_v the_o line_n eo_fw-la and_o now_o when_o i_o have_v set_v the_o particular_a measure_n upon_o every_o line_n and_o draw_v the_o boundary_a line_n as_o i_o must_v have_v do_v if_o i_o have_v use_v a_o protractor_n the_o plot_n be_v finish_v but_o for_o better_a assurance_n that_o i_o have_v do_v my_o work_n well_o i_o take_v the_o measure_n of_o the_o remain_a angle_n aoe_v upon_o its_o proper_a arch_n viz._n from_o the_o intersection_n of_o the_o circumference_n by_o of_o to_o the_o intersection_n by_o eo_fw-la and_o apply_v it_o to_o the_o line_n of_o chord_n i_o find_v it_o to_o be_v 81_o deg._n 10_o min_n as_o it_o ought_v to_o be_v for_o it_o shall_v be_v the_o compliment_n of_o 276_o deg._n 50_o min._n to_o 360_o and_o so_o it_o be_v and_o for_o further_a satisfaction_n i_o sum_v up_o the_o degree_n and_o minute_n of_o all_o the_o five_o angle_n which_o for_o plainness_n sake_n i_o have_v note_v in_o every_o one_o of_o they_o on_o the_o outside_n of_o the_o circle_n in_o the_o figure_n so_o often_o refer_v to_o and_o their_o sum_n be_v 360_o as_o it_o ought_v to_o be_v and_o as_o here_o be_v evident_a 76._o 1●_n 81._o 20_o 67._o 4●_n 53._o 3●_n 81._o 1●_n 360._o

00_o my_o reader_n may_v now_o perhaps_o expect_v that_o i_o teach_v he_o how_o to_o take_v a_o plot_n at_o two_o or_o more_o station_n when_o all_o the_o angle_n can_v be_v see_v from_o one_o but_o because_o this_o be_v so_o easy_a from_o the_o ground_n already_o lay_v to_o any_o that_o be_v ingenious_a and_o in_o part_n render_v unnecessary_a by_o the_o method_n present_o follow_v i_o shall_v content_v myself_o to_o give_v this_o general_a hint_n when_o you_o have_v from_o one_o station_n take_v in_o all_o the_o angle_n you_o can_v see_v from_o thence_o and_o then_o be_v to_o remove_v to_o your_o second_o station_n do_v just_a as_o you_o will_v do_v if_o the_o table_n be_v cover_v with_o a_o paper_n only_o it_o be_v at_o your_o choice_n whether_o you_o will_v guide_v yourself_o for_o back-sight_n by_o a_o line_n that_o may_v be_v rub_v off_o draw_v upon_o the_o table_n itself_o from_o the_o centre_n to_o the_o degree_n on_o the_o frame_n along_o the_o fiducial_a edge_n or_o by_o 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at_o d_o thus_o d_o c_o 96._o 05_o e_z 28._o 50_o at_o e_z thus_o e_z d_o 141._o 20_o a_o 11._o 45._o and_o last_o at_o a_o i_o find_v they_o thus_o a_o e_o 98._o 30_o b._n 9_o 20_o an._n d._n m_o sides_n ch._n l._n a_o 89_o 10_o a_o b_o 3_o 73_o b_o 116_o 30_o b_o c_o 4_o 91_o c_z 137_o 30_o c_o d_o 1_o 88_o d_o 67_o 15_o d_o e_o 6_o 64_o e_z 129_o 35_o e_o a_o 2_o 29_o this_o be_v do_v i_o have_v under_o covert_n and_o by_o subtraction_n find_v 116_o deg._n 30_o m._n for_o the_o angle_n b._n 137_o deg._n 30_o m._n for_o c._n 67_o deg._n 15_o min._n for_o d._n 129_o deg._n 35_o min._n for_o e._n and_o 89._o deg._n 10_o min._n for_o a_o as_o you_o find_v they_o on_o the_o figure_n and_o in_o this_o table_n together_o with_o the_o length_n of_o the_o line_n note_v that_o there_o be_v a_o way_n to_o find_v the_o angle_n without_o subtraction_n if_o at_o every_o station_n you_o lay_v the_o fiducial_a edge_n over_o the_o centre_n and_o the_o division_n 180_o and_o 360_o turn_v about_o 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whereof_o and_o the_o point_n a_o i_o draw_v the_o line_n ae_n which_o according_a to_o my_o scale_n must_v be_v 2_o chain_n 29_o link_n in_o like_a manner_n place_v the_o diameter_n upon_o ae_n just_a as_o it_o be_v upon_o ab_fw-la and_o the_o centre_n upon_o the_o point_n e_o i_o mark_v out_o by_o the_o limb_n for_o the_o angle_n e_z 129_o deg._n 20_o min._n by_o which_o i_o draw_v the_o line_n ed_z 6_o chain_n 64_o link_n in_o the_o next_o place_n i_o bring_v the_o centre_n of_o the_o protractor_n to_o the_o point_n d_o its_o diameter_n lie_v on_o the_o line_n ed_z and_o its_o limb_n towards_o a_o by_o which_o i_o prick_v out_o 67_o deg._n 15_o min._n for_o the_o angle_n at_o d_o and_o draw_v the_o line_n 1_o chain_n 88_o link_n last_o the_o centre_n be_v at_o c_o and_o the_o diameter_n upon_o the_o line_n dc_o in_o such_o manner_n as_o before_o at_o other_o angles_n i_o prick_v out_o by_o the_o limb_n or_o arch_n 137_o deg._n 30_o min._n and_o draw_v the_o line_n cb_n for_o at_o b_o my_o plot_n shall_v close_v and_o if_o right_o do_v the_o angle_n at_o b_o will_v be_v 116_o deg._n 30_o min._n and_o the_o side_n bc_n 4_o chain_n 91_o link_n which_o by_o measure_n i_o find_v so_o to_o be_v but_o if_o i_o plot_v by_o a_o line_n of_o chord_n i_o be_o not_o bind_v to_o this_o order_n but_o may_v go_v from_o a_o to_o b_o and_o so_o round_a that_o way_n if_o i_o please_v which_o i_o can_v not_o so_o well_o do_v with_o a_o protractor_n without_o reckon_v my_o number_n backward_o yet_o it_o must_v be_v grant_v that_o a_o line_n of_o chord_n neither_o do_v the_o work_n so_o quick_o nor_o convenient_o for_o this_o be_v the_o way_n when_o i_o have_v draw_v the_o line_n ab_fw-la of_o a_o right_a length_n i_o set_v the_o compass_n to_o the_o radius_fw-la and_o place_v one_o foot_n of_o the_o compass_n in_o the_o point_n b_o and_o with_o the_o other_o describe_v a_o arch_n of_o a_o competent_a length_n begin_v at_o that_o side_n of_o the_o line_n ab_fw-la that_o be_v design_v to_o be_v the_o inward-side_n and_o upon_o this_o arch_n 116_o deg._n 30_o min._n must_v be_v set_v but_o because_o my_o line_n of_o chord_n give_v i_o only_o 90_o i_o set_v they_o first_o on_o from_o the_o line_n ab_fw-la and_o then_o take_v off_o the_o remainder_n 26_o deg._n 30_o min._n i_o join_v they_o to_o the_o 90_o upon_o the_o arch_n make_v a_o point_n through_o which_o the_o line_n b_o must_v be_v draw_v of_o a_o due_a length_n in_o the_o like_a manner_n must_v i_o do_v at_o ce_fw-fr but_o the_o angle_n at_o a_o and_o d_o need_v no_o such_o piece_n be_v capable_a of_o be_v measure_v out_o by_o a_o line_n of_o chord_n at_o once_o nor_o do_v your_o angle_n only_o give_v you_o trouble_v in_o this_o kind_n of_o work_n but_o ofttimes_o your_o line_n will_v be_v find_v too_o short_a to_o receive_v the_o touch_n of_o a_o arch_n upon_o the_o radius_fw-la especial_o if_o the_o line_n of_o chord_n be_v large_a and_o your_o scale_n little_a and_o so_o it_o may_v often_o fall_v out_o when_o you_o use_v the_o protractor_n upon_o such_o short_a line_n as_o ae_n and_o cd_o of_o this_o last_o figure_n in_o which_o case_n a_o rule_n must_v be_v apply_v to_o they_o and_o they_o must_v be_v extend_v to_o a_o due_a length_n that_o the_o arch_n may_v meet_v they_o without_o the_o figure_n and_o if_o those_o extension_n of_o line_n and_o describe_v of_o arch_n spoil_v the_o beauty_n of_o your_o plot_n the_o