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of_o the_o next_o manor_n be_v in_o doubt_n lest_o the_o vein_n of_o coal_n do_v run_v towards_o his_o adjoin_v manor_n and_o that_o they_o be_v common_a under_o his_o ground_n whereby_o the_o coal_n be_v he_o to_o resolve_v this_o doubt_n descend_v into_o the_o pit_n and_o then_o by_o the_o 72_o chapter_n get_v the_o true_a way_n that_o the_o miner_n have_v make_v even_o as_o it_o be_v a_o hedge_n still_o note_v the_o degree_n cut_v by_o the_o needle_n at_o every_o angle_n where_o the_o my_o run_v one_o way_n or_o another_o out_o of_o the_o course_n of_o a_o right_a line_n and_o also_o measure_v the_o side_n of_o every_o angle_n then_o ascend_v out_o of_o the_o pit_n by_o your_o instrument_n and_o chain_n begin_v perpendicular_a above_o the_o place_n where_o you_o begin_v to_o make_v observation_n in_o the_o bottom_n of_o the_o pit_n lay_v down_o the_o like_a angle_n and_o side_n so_o observe_v which_o have_v so_o do_v you_o shall_v soon_o see_v if_o the_o i_o or_o any_o part_n thereof_o have_v run_v out_o of_o the_o one_o manor_n into_o the_o other_o for_o if_o it_o do_v you_o shall_v be_v force_v to_o measure_v out_o of_o the_o one_o into_o the_o other_o and_o as_o you_o note_v these_o angle_n of_o deviation_n be_v in_o the_o dark_a bowel_n of_o the_o earth_n you_o be_v best_a to_o have_v a_o candle_n fix_v upon_o the_o end_n of_o a_o staff_n of_o equal_a hieght_n with_o your_o eye_n and_o the_o same_o to_o be_v fix_v in_o the_o foot_n of_o the_o mine_n at_o every_o angle_n that_o thereby_o you_o may_v the_o better_o direct_v your_o sight_n thereunto_o chap._n xci_o to_o plant_v barrel_n of_o powder_n direct_v under_o castle_n fort_n or_o such_o like_a and_o to_o know_v how_o far_o you_o be_v under_o the_o same_o in_o perform_v this_o chapter_n by_o some_o proposition_n former_o publish_v you_o must_v get_v the_o horizontall_a and_o hypothenusall_a distance_n of_o the_o fort_n from_o you_o and_o thereby_o the_o height_n thereof_o above_o the_o horizontal_n line_n which_o do_v you_o be_v also_o by_o help_n of_o your_o needle_n place_v in_o the_o glass_n to_o find_v out_o the_o angle_n of_o position_n which_o be_v the_o number_n of_o degree_n from_o any_o principal_a quarter_n of_o the_o world_n that_o the_o journey_n lie_v which_o do_v you_o must_v by_o the_o same_o instrument_n ever_o direct_v the_o i_o direct_a upon_o that_o line_n or_o part_n of_o the_o world_n and_o keep_v your_o instrument_n parallel_n the_o sight_n upon_o the_o diameter_n of_o the_o demicircle_n thereby_o always_o carry_v the_o floor_n of_o your_o mine_n level_a with_o a_o candle_n fix_v upon_o the_o end_n of_o a_o staff_n of_o equal_a height_n with_o your_o eye_n as_o before_o will_v help_v you_o to_o do_v now_o when_o you_o have_v go_v so_o far_o under_o the_o ground_n as_o you_o find_v the_o length_n of_o the_o horizontall_a line_n to_o contain_v you_o may_v assure_v yourself_o that_o you_o be_v direct_v under_o the_o fort_n and_o that_o you_o be_v so_o many_o pase_n under_o or_o below_o the_o say_a fort_n as_o you_o find_v the_o fort_n to_o be_v about_o the_o horizontall_a line_n chap._n xcii_o a_o mine_n run_v upon_o some_o certain_a point_n yet_o ascend_v or_o descend_v to_o know_v at_o any_o time_n how_o much_o you_o be_v above_o or_o under_o the_o horizotall_a line_n concern_v your_o journey_n under_o the_o earth_n you_o must_v observe_v the_o doctrine_n of_o the_o last_o chapter_n and_o when_o the_o mine_n happen_v to_o fall_v or_o rise_v according_a to_o the_o doctrine_n of_o altitude_n and_o profundity_n due_o note_v at_o every_o several_a station_n the_o quantity_n of_o the_o ascent_n and_o descent_n that_o be_v how_o much_o you_o rise_v above_o or_o fall_v under_o the_o true_a horizontall_a line_n and_o so_o keep_v two_o several_a table_n the_o one_o of_o the_o ascent_n and_o the_o other_o of_o the_o descent_n now_o when_o you_o desire_v to_o know_v how_o you_o be_v situate_a add_v all_o the_o ascent_n together_o and_o note_v the_o product_n do_v so_o to_o the_o descent_n then_o must_v you_o take_v the_o lesser_a out_o of_o the_o great_a so_o do_v the_o remainder_n acquaint_v you_o how_o you_o then_o differ_v from_o the_o horizontall_a line_n for_o if_o the_o ascent_n excee_v you_o may_v be_v assure_v that_o you_o be_v above_o the_o horizontall_a line_n if_o the_o descent_n excee_v you_o be_v under_o the_o say_a horizontal_n line_n according_a to_o the_o difference_n of_o the_o say_v ascent_n &_o descent_n neither_o need_v you_o fear_v any_o collateral_a decline_a of_o the_o way_n of_o your_o mine_n for_o that_o nothing_o at_o all_o alter_v the_o ascent_n or_o descent_n for_o that_o be_v only_o alter_v by_o the_o direct_a line_n or_o line_n that_o you_o measure_v insomuch_o that_o if_o you_o well_o observe_v the_o premise_n you_o may_v precise_o know_v at_o any_o time_n or_o place_n how_o much_o you_o be_v under_o or_o above_o the_o true_a horizontal_n line_n and_o thereby_o come_v into_o he_o again_o upon_o any_o occasion_n chap._n xciii_o a_o i_o or_o trench_v collateral_o decline_v how_o to_o know_v when_o you_o come_v again_o into_o the_o right_a line_n of_o position_n and_o also_o how_o far_o you_o be_v from_o be_v just_a under_o any_o fort_n propose_v to_o carry_v a_o my_o direct_a forward_a upon_o any_o point_n of_o the_o horizon_n you_o be_v sufficient_o teach_v in_o the_o 90_o chapter_n and_o if_o the_o mine_n must_v ascend_v or_o descend_v above_o or_o below_o the_o line_n of_o level_n you_o be_v teach_v in_o the_o last_o chapter_n at_o all_o time_n to_o know_v how_o much_o you_o be_v above_o or_o under_o the_o say_a line_n of_o level_a but_o say_v you_o be_v enforce_v by_o rock_n water_n or_o other_o such_o obstacle_n that_o you_o meet_v with_o under_o the_o earth_n contrary_a to_o the_o 90_o chapter_n to_o carry_v your_o mine_n side_n wise_a from_o the_o direct_a line_n of_o position_n in_o such_o a_o case_n you_o be_v first_o upon_o a_o fair_a large_a sheet_n of_o paper_n to_o extend_v a_o right_a live_v over_o the_o same_o which_o call_v the_o line_n of_o position_n be_v the_o direct_a way_n that_o the_o i_o shall_v go_v next_o note_v the_o angle_n of_o deviation_n from_o that_o line_n that_o be_v to_o say_v how_o many_o degree_n the_o mine_n do_v decline_v from_o the_o true_a line_n of_o position_n that_o lead_v on_o direct_o and_o according_o plat_v it_o down_o upon_o the_o paper_n as_o you_o be_v often_o instruct_v in_o the_o use_n of_o each_o several_a instrument_n proceed_v so_o far_o as_o your_o my_o continue_v in_o a_o right_a line_n and_o if_o you_o be_v occasion_v again_o to_o direct_v either_o further_a of_o or_o near_a unto_o the_o line_n of_o position_n always_o protract_v if_o down_o upon_o your_o paper_n exact_o as_o well_o in_o measure_n as_o angle_v until_o such_o time_n that_o you_o can_v come_v to_o make_v your_o protract_a collateral_a line_n or_o line_n of_o deviation_n to_o intersect_v with_o the_o right_a line_n of_o position_n first_o extend_v over_o the_o paper_n and_o then_o by_o the_o scale_n with_o which_o you_o protract_v your_o line_n of_o deviation_n examine_v how_o many_o pase_n or_o yard_n that_o point_n of_o intersection_n be_v distant_a from_o the_o point_n where_o your_o work_n begin_v which_o represent_v the_o point_n of_o your_o first_o entery_n into_o the_o i_o for_o that_o compare_v with_o the_o fundamental_a distance_n or_o length_n of_o the_o horizontall_a line_n inform_v you_o if_o you_o be_v past_a or_o not_o yet_o come_v under_o the_o propose_a fort_n therefore_o in_o these_o case_n you_o be_v best_o first_fw-mi of_o all_o to_o limit_v upon_o your_o paper_n with_o your_o scale_n and_o compass_v the_o direct_a length_n of_o the_o fundamental_a or_o horizontal_n line_n and_o so_o in_o your_o protract_n may_v you_o call_v they_o back_o if_o they_o seem_v to_o run_v beyond_o the_o fort_n then_o in_o the_o former_a chapter_n be_v you_o teach_v to_o know_v how_o far_o under_o the_o fort_n you_o be_v whereby_o you_o may_v ascend_v near_o or_o descend_v further_o from_o the_o superficies_n of_o the_o earth_n as_o the_o cause_n shall_v require_v certain_o most_o exact_a and_o excellent_a be_v this_o kind_n of_o work_v for_o convey_v of_o mine_n and_o of_o no_o small_a importance_n for_o the_o due_a place_n of_o fornace_n of_o powder_n to_o blow_v up_o fort_n castle_n town_n or_o such_o like_a whether_o they_o be_v situate_a high_a hpon_n a_o hill_n or_o low_a in_o a_o valley_n which_o for_o all_o purpose_n in_o these_o and_o such_o like_a case_n under_o ground_n you_o shall_v find_v the_o topographicall_a glass_n to_o be_v most_o requisite_a chap._n xciiii_o of_o the_o build_n of_o a_o city_n and_o of_o the_o situation_n
any_o altitude_n be_v level_a with_o your_o eye_n c._n 19_o p._n 58_o to_o search_n out_o length_n in_o height_n c._n 20._o p._n 59_o to_o reduce_v part_n of_o the_o right_a side_n the_o geometrical_a quadrant_a into_o part_n proportional_a of_o the_o left_a side_n c._n 21.61_o to_o find_v length_n in_o height_n by_o the_o geometrical_a quadrant_a in_o the_o glass_n c._n 22._o ibid._n to_o know_v how_o much_o one_o hill_n be_v high_a than_o another_o 23.64_o to_o know_v if_o water_n will_v run_v to_o the_o appoint_a place_n c._n 24.67_o to_o take_v the_o quantity_n of_o any_o stationary_a angle_n c._n 25.70_o to_o make_v a_o protractor_n &_o scale_n c._n 26._o ibid._n to_o protract_v a_o angle_n and_o lay_v down_o the_o end_n c._n 27._o p._n 71_o to_o observe_v a_o angle_n of_o position_n and_o protract_v it_o etc._n etc._n 28.73_o to_o take_v the_o plat_n of_o a_o great_a champion_n etc._n etc._n c._n 29._o p._n 74_o to_o plat_n meadow_n plain_a field_n pasture_n etc._n etc._n c._n 30.75_o to_o reduce_v line_n hypothenusall_n into_o line_n horizontal_a 31.76_o compendious_a form_n of_o work_v by_o the_o geod_n staff_n 32.77_o to_o square_a land_n and_o to_o reduce_v irregular_a form_n to_o regular_a c._n 33.80_o to_o search_v the_o perpendicular_a in_o any_o triangle_n etc._n etc._n 34.81_o to_o reduce_v many_o plait_n or_o observation_n into_o one_o map_n 35.82_o to_o divide_v a_o empire_n kingdom_n or_o continent_n into_o prou._n 36.85_o reason_n why_o the_o sun_n altitude_n have_v be_v hitherto_o false_o observe_v 37.87_o paralax_n of_o the_o sun_n ib._n 88_o a_o table_n of_o the_o sun_n paralaxe_n ib._n 90_o correct_v the_o take_n of_o the_o star_n altitude_n 38.91_o to_o take_v the_o altitude_n or_o almicanther_n of_o the_o sun_n or_o any_o star_n and_o to_o find_v their_o azimuth_n 39.92_o to_o take_v the_o amplitude_n of_o sun_n or_o star_n 40.93_o to_o get_v the_o hour_n of_o the_o day_n the_o hour_n of_o sun_n rise_v or_o set_v by_o the_o topographical_n glass_n 41._o ib._n to_o find_v the_o hour_n of_o the_o night_n &_o likewise_o high_a water_n 42.64_o addition_n to_o the_o planisphere_n in_o the_o glass_n ib._n 95_o to_o use_v the_o topographicall_a glass_n as_o the_o plain_a table_n 43.97_o a_o description_n of_o the_o plain_a table_n 44.98_o absurdity_n use_v of_o many_o who_o affect_v the_o plain_a table_n 45.102_o thing_n belong_v to_o the_o use_n of_o the_o plain_a table_n c._n 46.104_o to_o take_v any_o horizontall_a distance_n by_o the_o plain_a table_n c._n 47._o ib._n part_v of_o the_o distance_n of_o any_o thing_n give_v to_o find_v the_o rest_n ch_n 48._o p._n 107_o to_o take_v the_o distance_n of_o two_o town_n etc._n etc._n c._n 49._o p._n 108_o to_o find_v the_o horizontall_a distance_n from_o you_o by_o a_o new_a way_n c._n 50._o p._n 110_o to_o draw_v the_o plat_n of_o a_o piece_n of_o ground_n at_o one_o station_n where_o all_o the_o angle_n of_o the_o field_n may_v be_v see_v 51.112_o to_o draw_v the_o plat_n of_o any_o field_n where_o you_o can_v not_o see_v all_o the_o angle_n c._n 52._o p._n 113_o to_o draw_v the_o plat_n of_o a_o field_n by_o once_o place_v the_o instrument_n in_o a_o angle_n of_o the_o field_n and_o measure_v the_o field_n round_o about_o c._n 53._o p._n 115_o to_o take_v the_o plat_n of_o a_o field_n by_o the_o rule_n of_o the_o forego_n chapter_n where_o all_o the_o angle_n can_v be_v see_v from_o one_o angle_n c._n 54.116_o to_o draw_v the_o plat_n of_o a_o piece_n of_o ground_n by_o two_o station_n and_o measure_v but_o one_o line_n c._n 55.117_o to_o draw_v the_o plat_n of_o a_o field_n by_o many_o station_n and_o yet_o measure_v but_o one_o line_n in_o all_o c._n 56._o p._n 118_o to_o draw_v the_o plat_n of_o a_o piece_n of_o wood-ground_n which_o for_o thickness_n one_o can_v set_v a_o instrument_n in_o c._n 57.120_o to_o draw_v the_o plat_n of_o a_o field_n by_o set_v his_o instrument_n in_o every_o angle_n yet_o measure_v but_o one_o line_n c._n 58._o p._n 122_o to_o take_v the_o plat_n of_o any_o champion_n field_n by_o the_o plain_a table_n yet_o never_o change_v paper_n c._n 59_o p._n 123_o what_o chapter_n be_v fit_a to_o use_v in_o plat_v of_o ground_n &_o what_o instrument_n to_o use_v c._n 60.124_o a_o description_n of_o the_o circumferentor_n and_o the_o part_n thereof_o c._n 61._o p._n 126_o of_o the_o sight_n long_o &_o short_a c._n ib._n p._n 127_o the_o circumferentor_n his_o appellation_n and_o thing_n general_o to_o be_v consider_v therein_o c._n 62._o p._n 129._o to_o take_v the_o almincanther_n and_o azimuth_n of_o the_o sun_n 63.130_o to_o know_v in_o what_o part_n of_o the_o horizon_n any_o thing_n see_v lie_v c._n 64._o p._n 131_o to_o find_v the_o hour_n of_o the_o day_n by_o sight_n of_o the_o sun_n c._n 65._o p._n ib._n to_o find_v the_o hour_n of_o sun_n rise_v and_o set_v c._n 66._o p._n 132_o to_o find_v the_o amplitude_n of_o rise_a sun_n or_o star_n c._n 67._o p._n ib._n of_o the_o opposite_a degree_n and_o how_o to_o find_v they_o c._n 68.133_o to_o find_v the_o quantity_n of_o a_o angle_n c._n 69._o p._n 134_o to_o take_v the_o distance_n of_o any_o mark_n by_o the_o old_a circumferentor_n c._n 70._o ib._n to_o perform_v the_o last_o chapter_n by_o protract_v the_o circumferentor_n ch_n 71._o p._n 135_o to_o take_v a_o altitude_n only_o by_o the_o circumferentor_n 72.136_o to_o take_v the_o plat_n of_o a_o piece_n of_o ground_n by_o the_o old_a or_o new_a circumferentor_n c._n 73._o p._n 137_o to_o take_v a_o plat_n at_o one_o station_n by_o the_o circumferentor_n 74.139_o degree_n of_o a_o field_n be_v take_v to_o find_v the_o close_n of_o the_o plat_n ch_n 75._o p._n ibid._n to_o reduce_v hypothenusall_a line_n into_o horizontall_a c._n 76._o p._n 141_o to_o perform_v the_o same_o by_o a_o quadrant_n ch_n 77._o p._n 142_o to_o take_v altitude_n by_o such_o a_o quadrant_n ch_n 78._o p._n 143_o to_o take_v the_o declination_n of_o a_o wall_n chap._n 79._o p._n ib._n survey_v of_o a_o manor_n ib._n p._n 144_o to_o make_v a_o map_n and_o sea_n card_n ibid._n p._n 146._o to_o discover_v the_o true_a plat_n of_o a_o park_n forest_n etc._n etc._n c._n 80._o p._n 148_o to_o cast_v the_o content_n of_o a_o park_n chap._n 81.153_o to_o plat_n any_o field_n by_o intersection_n of_o line_n c._n 82._o p._n 159_o to_o seek_v the_o distance_n of_o a_o turret_n c._n 83._o p._n 158_o to_o find_v the_o length_n of_o any_o hypothenusal_a c._n 84._o p._n 160_o to_o find_v the_o distance_n of_o two_o tower_n c._n 85._o p._n 162._o to_o find_v the_o distance_n of_o any_o thing_n from_o you_o 86._o p._n 165_o to_o know_v whether_o a_o ship_n come_v to_o you_o or_o go_v from_o you_o chap._n 87._o p._n 167_o a_o ship_n pursue_v another_o when_o it_o will_v overtake_v the_o former_a chap._n 88_o p._n ibid._n how_o to_o take_v the_o platform_n of_o a_o house_n castle_n etc._n etc._n 89._o p._n 168_o to_o discover_v how_o mine_n and_o trench_n run_v ch_n 90._o p._n 169_o to_o place_n barrel_n of_o powder_n under_o castle_n etc._n etc._n ch_n 91._o p._n 170_o whether_o a_o mine_n be_v above_o or_o under_o the_o horizon_n chap._n 92_o p._n 171_o to_o know_v which_o way_n it_o decline_v ch_n 93._o ibid._n to_o build_v and_o situate_v a_o city_n ch_n 94._o p._n 173_o to_o build_v and_o situate_v a_o manor_n chap._n 95._o p._n 174_o to_o sink_v a_o well_o and_o convey_v water_n pipe_n c._n 96._o p._n 177_o to_o draw_v the_o plat_n of_o a_o building_n or_o other_o thing_n not_o see_v ch_n 97._o p._n 179_o to_o make_v a_o excellent_a ruler_n for_o reduce_v plait_n chap._n 98._o p._n 180_o to_o burn_v any_o thing_n far_o off_o with_o the_o sun_n beam_n ch_n 99_o p._n 182_o to_o make_v a_o glass_n to_o discern_v any_o small_a thing_n half_a a_o mile_n off_o as_o to_o read_v a_o letter_n etc._n etc._n c._n 100_o p._n ibid._n how_o to_o buy_v annuety_n or_o money_n due_a afterward_o ch_n 101_o p._n 183_o the_o measure_n of_o solid_n and_o plain_n the_o best_a time_n to_o fell_a timber_n and_o to_o season_v board_n chap._n 1.186_o to_o measure_v solid_a timber_n 2.187_o to_o find_v the_o square_n of_o any_o tree_n grow_v 3.188_o to_o find_v the_o square_n of_o a_o tree_n unsquared_a 4.189_o to_o find_v the_o square_n of_o a_o square_a piece_n 5.190_o to_o find_v the_o square_n of_o any_o flat_a piece_n 6.191_o to_o find_v the_o square_n of_o a_o piece_n like_o a_o diamond_n 7.192_o to_o find_v the_o square_n of_o piece_n of_o 3_o 5_o 6_o 7_o or_o 8_o side_n look_v the_o 8_o and_o 9_o chap._n p._n 193_o to_o find_v how_o much_o timber_n will_v make_v a_o foot_n square_n 10.195_o to_o measure_v all_o sort_n of_o timber_n 11.196_o of_o surface_n and_o solid_a figure_n 12.197_o measure_v content_n superficial_a and_o solid_a 13.200_o to_o measure_v the_o air_n or_o any_o plain_a surface_n 14.202_o finis_fw-la you_o may_v have_v any_o of_o the_o instrument_n in_o this_o book_n make_v of_o wood_n in_o hosier_n lane_n near_o smithfield_n in_o london_n by_o john_n tomson_n the_o glass_n be_v make_v in_o brass_n in_o black_a horse-al_o near_o flecetebridge_n by_o elias_n allin_n
body_n of_o the_o instrument_n rest_v convey_v the_o index_n from_o angle_n to_o angle_v until_o you_o have_v go_v round_o and_o then_o measure_v the_o side_n contain_v every_o angle_n note_v the_o same_o down_o against_o the_o proper_a angle_n even_o as_o you_o be_v teach_v in_o the_o six_o book_n of_o the_o geodeticall_a staff_n in_o the_o three_o chapter_n treat_v of_o this_o proposition_n and_o then_o protract_v as_o there_o you_o be_v instruct_v or_o as_o in_o the_o 27._o chapter_n chap._n x._o to_o take_v a_o plat_n of_o wood-ground_n by_o go_v round_o about_o the_o circumference_n now_o look_v how_o you_o observe_v the_o angle_n and_o line_n in_o the_o field_n and_o in_o the_o same_o order_n must_v you_o protract_v they_o upon_o your_o paper_n theodelitus_n to_o use_v a_o needle_n in_o the_o theodelitus_n and_o here_o note_v that_o as_o you_o work_v by_o the_o back_n sight_n with_o the_o theodelitus_n so_o also_o may_v you_o use_v the_o needle_n by_o keep_v the_o needle_n at_o every_o station_n just_a over_o one_o place_n and_o then_o note_v the_o number_n of_o degree_n cut_v and_o so_o go_v round_o the_o work_n be_v finish_v so_o that_o you_o may_v hereby_o perceive_v the_o circumferentor_n to_o be_v borrow_v from_o this_o instrument_n and_o use_v by_o a_o contrary_a application_n chap._n xi_o to_o draw_v the_o plat_n of_o a_o country_n and_o thereby_o to_o make_v a_o true_a map_n and_o situate_v every_o town_n and_o village_n according_a to_o their_o true_a distance_n that_o you_o may_v know_v the_o true_a distance_n without_o arithmetic_n map_n to_o make_v a_o map_n to_o perform_v this_o you_o must_v ascend_v to_o the_o top_n of_o some_o high_a hill_n eliffe_n or_o tower_n from_o whence_o you_o may_v direct_o behold_v the_o situation_n of_o the_o country_n as_o it_o lie_v adiacient_a round_o about_o in_o your_o horizon_n we_o hold_v the_o semidiamer_n of_o the_o horizon_n to_o contain_v 180._o stadias_n and_o so_o far_o may_v one_o see_v for_o we_o must_v always_o when_o we_o be_v at_o this_o work_n imagine_v ourselves_o to_o be_v in_o the_o centre_n of_o the_o horizon_n and_o thence_o necessary_o must_v see_v to_o the_o circumference_n horizon_n the_o semidiameter_n of_o the_o horizon_n which_o be_v limit_v from_o we_o by_o the_o semidiameter_n but_o to_o proceed_v your_o place_n be_v appoint_v there_o set_v up_o the_o topographicall_a glass_n upon_o his_o staff_n order_v it_o in_o such_o sort_n by_o help_n of_o the_o needle_n that_o the_o four_o semidiameter_n thereof_o may_v point_v just_a east_n west_n north_n and_o south_n every_o one_o point_v correspondant_o into_o his_o like_a quarter_n of_o the_o heaven_n then_o turn_v the_o index_n with_o the_o sight_n to_o every_o town_n village_n or_o haven_n or_o whatsoever_o you_o desire_v to_o place_n in_o the_o map_n espy_v through_o the_o sight_n the_o middle_a or_o most_o notable_a mark_n in_o every_o of_o they_o 28._o see_v chap._n 28._o as_o common_o the_o steeple_n if_o it_o be_v a_o church_n town_n note_v at_o every_o of_o those_o place_n the_o degree_n cut_v by_o the_o index_n in_o great_a circle_n and_o also_o the_o part_n of_o the_o degree_n which_o be_v proper_o call_v angle_n of_o position_n and_o collect_v you_o a_o table_n of_o your_o first_o station_n thereby_o then_o cast_v your_o eye_n round_o about_o search_v some_o mountain_n or_o lofty_a place_n from_o whence_o again_o you_o may_v view_v all_o these_o place_n and_o appoint_v that_o to_o be_v your_o second_o station_n then_o turn_v thereto_o the_o index_n &_o note_n also_o the_o degree_n cut_v this_o do_v repair_n unto_o your_o second_o station_n former_o find_v where_o situate_a your_o topographical_n glass_n in_o all_o respect_n as_o he_o be_v at_o the_o first_o station_n turn_v the_o index_n and_o sight_n about_o still_o observe_v all_o such_o mark_n you_o see_v before_o and_o note_v again_o the_o degree_n cut_v or_o angle_n of_o position_n write_v the_o name_n of_o every_o place_n and_o his_o angle_n by_o it_o so_o have_v you_o collect_v a_o second_o table_n which_o be_v for_o your_o second_o station_n these_o thing_n so_o do_v take_v a_o skin_n of_o vellum_n royal_a paper_n or_o what_o you_o please_v and_o in_o some_o place_n thereof_o appoint_v your_o first_o station_n about_o which_o describe_v a_o circle_n which_o you_o must_v divide_v into_o 360_o degree_n begin_v in_o that_o quarter_n of_o the_o world_n in_o which_o the_o beginning_n of_o the_o degree_n in_o your_o instrument_n be_v place_v or_o else_o protract_v they_o by_o your_o staff_n as_o you_o be_v teach_v staff_n lib._n 6._o of_o the_o geodeticall_a staff_n betake_v either_o of_o the_o way_n from_o the_o centre_n of_o this_o circle_n to_o every_o degree_n note_v in_o your_o first_o table_n there_o must_v right_a line_n be_v produce_v infinite_o note_v to_o every_o of_o they_o the_o name_n of_o his_o place_n now_o protract_v the_o line_n of_o your_o second_o station_n according_a to_o the_o degree_n cut_v and_o upon_o that_o line_n describe_v another_o circle_n which_o use_v in_o all_o respect_n as_o you_o do_v the_o former_a take_v direction_n from_o the_o table_n observe_v at_o your_o second_o station_n to_o conclude_v diligent_o note_v the_o concourse_n or_o intersection_n of_o every_o like_a line_n make_v there_o on_o some_o mark_n as_o ☉_o with_o the_o name_n of_o the_o place_n correspondent_a and_o so_o you_o have_v finish_v now_o to_o know_v how_o far_o every_o of_o these_o town_n &c._n &c._n be_v distant_a from_o other_o do_v thus_o measure_v the_o distance_n betwixt_o your_o station_n by_o your_o geodeticall_a staff_n or_o this_o instrument_n as_o you_o shall_v be_v after_o teach_v or_o by_o any_o other_o instrument_n to_o you_o seem_v best_o and_o divide_v your_o stationary_a line_n or_o line_n include_v betwxit_fw-la the_o centre_n of_o the_o circle_n into_o so_o many_o equal_a part_n as_o there_o be_v mile_n furlong_n or_o score_n between_o your_o station_n this_o line_n so_o divide_v measure_v the_o distance_n of_o any_o place_n thereby_o as_o you_o do_v with_o a_o ordinary_a scale_n in_o a_o map_n take_v the_o distance_n of_o any_o two_o place_n with_o your_o compass_n and_o apply_v the_o wideness_n to_o the_o divide_a line_n for_o so_o many_o equal_a part_n as_o be_v then_o include_v betwixt_o the_o foot_n of_o your_o compass_n so_o many_o mile_n score_n etc._n etc._n be_v it_o between_o the_o two_o place_n according_a to_o the_o denomination_n of_o the_o division_n in_o the_o stationary_a line_n example_n i_o be_o desirous_a to_o set_v down_o certain_a town_n in_o the_o county_n of_o sallop_n according_a to_o their_o true_a porportion_n and_o the_o epact_a distance_n of_o every_o place_n from_o other_o choose_v therefore_o a_o lofty_a place_n for_o this_o purpose_n as_o the_o cordocke_n hill_n from_o whence_o i_o may_v behold_v all_o my_o desire_a place_n my_o instrument_n there_o situate_v as_o be_v declare_v remove_v my_o index_n to_o the_o first_o town_n upon_o my_o right_a hand_n and_o near_o to_o the_o begin_n of_o the_o degree_n in_o my_o instrument_n i_o find_v the_o same_o to_o be_v hopton_n castle_n which_o have_v receive_v through_o my_o sight_n the_o fiducial_a edge_n of_o the_o index_n cut_v 18_o degree_n remove_v the_o index_n to_o the_o next_o town_n montgomery_n it_o cut_v 70_o degree_n again_o the_o next_o knookin_n castle_n it_o cut_v the_o 134_o degree_n and_o so_o i_o proceed_v rightwards_o from_o town_n to_o town_n until_o i_o have_v finish_v so_o much_o as_o my_o intent_n be_v whereof_o i_o gather_v a_o table_n as_o follow_v  _fw-fr  _fw-fr degree_n  _fw-fr hopton_n castle_n 18_o ½_n  _fw-fr mont-gomery_a 70_o  _fw-fr knookin_n castle_n 134_o ½_n  _fw-fr whit_n church_n 170_o  _fw-fr shrewsbury_n 171_o angle_n of_o position_n observe_v at_o my_o first_o station_n morton_n corbet_n 181_o ½_n  _fw-fr browne-clee_a hill_n 289_o  _fw-fr bewdley_n 290_o  _fw-fr hopton_n 313_o ½_n  _fw-fr tenbury_n 319_o  _fw-fr ludlow_n 332_o  _fw-fr bridg-north_n 340_o this_o do_v i_o behold_v a_o other_o high_a hill_n as_o the_o wrekin_fw-mi hill_n from_o whence_o i_o may_v observe_v all_o these_o place_n and_o turn_v the_o index_n thereunto_o i_o find_v the_o degree_n cut_v to_o be_v 213_o ½_n then_o carry_v my_o instrument_n to_o the_o wreke_v and_o place_v he_o in_o all_o point_n there_o as_o it_o be_v upon_o the_o cordoke_n i_o turn_v again_o my_o index_n to_o the_o first_o town_n before_o note_v as_o hopton_n castle_n and_o note_v the_o degree_n cut_v i_o find_v it_o 25._o then_o to_o the_o next_o montgomery_z 52_o ½_n and_o so_o to_o the_o rest_n as_o you_o may_v perceive_v in_o the_o table_n ensue_v salopia_n milliaria_fw-la ang_fw-mi  _fw-fr  _fw-fr degree_n angle_n of_o position_n at_o the_o second_o station_n ludlow_n 1_o ½_n  _fw-fr hopton_n castell_n 25_o
and_o 64_o together_o so_o have_v you_o 110_o which_o take_v from_o 180_o leave_v 70_o the_o quantity_n of_o the_o angle_n a_o g_o b_o now_o have_v each_o angle_n find_v the_o right_a sign_n thereof_o as_o in_o the_o 7_o book_n of_o the_o staff_n so_o shall_v you_o see_v the_o right_a sign_n of_o the_o angle_n g_o a_fw-fr b_o to_o be_v 71933_o of_o a_o g_o b_o 93969_o and_o of_o g_o b_o a_o 89879_o and_o to_o get_v the_o distance_n of_o a_o g_o or_o g_o b_o do_v thus_o multiply_v the_o sign_n of_o g_o b_o a_o or_o g_o a_o b_o by_o 10_o and_o part_v the_o product_n by_o the_o sign_n of_o a_o g_o b_o so_fw-mi have_v you_o a_o g_o or_o g_o b_o in_o the_o same_o measure_n as_o a_o b_o be_v express_v as_o if_o i_o desire_v the_o length_n of_o b_o g_o first_o i_o multiply_v the_o sign_n of_o g_o a_o b_o 71933_o by_o 10_o and_o there_o be_v make_v 719330_o which_o i_o part_v by_o the_o sign_n of_o a_o g_o b_o viz._n by_o 93969_o so_o have_v i_o the_o quotient_a 76_o 9_o 1_o 3_o 5_o 9_o 4_o 6_o 7_o 9_o mile_n the_o distance_n of_o the_o wrekin_fw-mi hill_n from_o shrewsbury_n the_o like_a must_v you_o do_v to_o get_v the_o distance_n of_o a_o g_o thereof_o but_o to_o avoid_v division_n work_v aâ—_n in_o the_o 7._o book_n fol._n 287._o or_o chap_v 32._o compendium_n 3._o in_o the_o end_n thereof_o a_o f_o a_o e_o etc._n etc._n or_o d_o f_o d_o e_o b_o d_o etc._n etc._n remember_v always_o to_o multiply_v the_o sign_n of_o the_o angle_n contain_v the_o line_n seek_v by_o the_o line_n know_v and_o divide_v the_o product_n by_o the_o line_n of_o the_o angle_n contain_v the_o say_v know_v line_n and_o for_o your_o better_a understanding_n i_o will_v set_v down_o every_o triangle_n with_o his_o respondent_fw-la sign_n so_o that_o you_o may_v find_v every_o side_n of_o the_o same_o stretton_n wrekin_n shrewsbury_n  _fw-fr  _fw-fr grad_n mi._n sign_n  _fw-fr gba_n 64_o 0_o 89879_o the_o angle_n gab._n 46_o 0_o 71933_o  _fw-fr agb_n 70_o 0_o 93969_o stretton_n wrekin_n oswestree_n  _fw-fr  _fw-fr grad_n mi._n sign_n  _fw-fr fab_n 74_o 0_o 96126_o the_o angle_n fba_n 74_o 0_o 96126_o  _fw-fr afb_n 32_o 0_o 52991_o stretton_n wrekin_n welsh-pole_n  _fw-fr  _fw-fr grad_n mi._n sign_n  _fw-fr eba_n 108_o 0_o 95105_o the_o angle_n eba_n 38_o 0_o 78801_o  _fw-fr aeb_n 34_o 0_o 55919_o stretton_n wrekin_n mont-gomery_a  _fw-fr  _fw-fr grad_n mi._n sign_n  _fw-fr dba_n 24_o 15_o 41071_o the_o angle_n dab_n 124_o 0_o 82903_o  _fw-fr adb_n 31_o 45_o 52621_o stretton_n wrekin_n clun_n  _fw-fr  _fw-fr grad_n mi._n sign_n  _fw-fr cab_n 170_o 0_o 98480_o the_o angle_n cba_n 4_o 0_o 6575_o  _fw-fr acb_n 6_o 0_o 10452_o true_o to_o place_v town_n in_o a_o map_n true_o have_v by_o this_o cynical_a doctrine_n obtain_v the_o distance_n of_o every_o town_n as_o well_o from_o stretton_n hill_n as_o from_o the_o wrekin_fw-mi according_a as_o you_o do_v shrewsbury_n from_o the_o wrekin_fw-mi you_o shall_v place_v they_o proportional_o in_o one_o card_n thus_o salopia_n we_o will_v only_o situate_a shrewsbury_n in_o true_a place_n proportion_n &_o symmetry_n you_o shall_v therefore_o draw_v a_o line_n a_o b_o which_o divide_v into_o so_o many_o part_n as_o there_o be_v mile_n betwixt_o the_o wrekin_n &_o stretton_n hill_n viz._n ten_o mile_n and_o according_a unto_o those_o part_n you_o must_v make_v a_o scale_n as_o long_o as_o you_o please_v as_o h_o i._o now_o place_n the_o one_o foot_n of_o your_o compass_n in_o h_z and_o extend_v the_o other_o to_o the_o distance_n of_o shrewsbury_n and_o from_o the_o wrekin_fw-mi according_a to_o the_o doctrine_n you_o find_v it_o before_o viz._n 76_o 9_o 1_o 3_o 5_o 9_o 4_o 6_o 7_o 9_o mile_n the_o compass_n rest_v at_o that_o distance_n place_z the_o one_o foot_n in_o b_o and_o with_o the_o other_o strike_v the_o portion_n of_o a_o arch_n do_v so_o with_o the_o distance_n of_o stretton_n hill_n from_o shrewsbury_n upon_o the_o point_n a_o and_o the_o conclusion_n will_v be_v that_o the_o intersection_n of_o those_o two_o arch_n appoint_v the_o true_a place_n of_o shrewsbury_n as_o g._n in_o like_a manner_n must_v you_o situate_v all_o the_o other_o town_n in_o their_o proper_a place_n and_o then_o it_o rest_v at_o your_o pleasure_n whether_o you_o will_v find_v the_o distance_n of_o each_o one_o from_o the_o other_o by_o synical_a supputation_n or_o by_o your_o new_a make_v scale_n with_o your_o compass_n for_o any_o three_o town_n not_o lie_v in_o one_o direct_a line_n make_v a_o triangle_n and_o so_o find_v the_o angle_n of_o that_o triangle_n next_o the_o sign_n and_o consequent_o the_o side_n as_o you_o may_v see_v in_o c_o d_o b_o etc._n etc._n but_o have_v place_v the_o town_n the_o application_n of_o the_o scale_n be_v most_o speedy_a and_o ready_a without_o more_o trouble_n to_o find_v the_o distance_n of_o any_o place_n chap._n xiii_o the_o ground_n and_o reason_n of_o the_o geometrical_a quadrant_n and_o hypsometricall_a scale_n by_o this_o topographicall_a glass_n i_o shall_v teach_v you_o to_o deliver_v altitude_n longitude_n latitude_n etc._n etc._n 3_o kind_n of_o way_n as_o by_o the_o geometrical_a quadrant_a hypsometricall_a scale_n and_o by_o protraction_n and_o because_o this_o quadrant_n be_v use_v by_o many_o and_o also_o contrive_v in_o some_o instrument_n i_o think_v it_o not_o much_o to_o spend_v some_o time_n in_o acquaint_v you_o with_o the_o ground_n thereof_o gemma_fw-la frisius_n orontius_n etc._n etc._n write_v of_o the_o use_n thereof_o conceal_v that_o to_o themselves_o but_o have_v occasion_n in_o this_o book_n because_o it_o be_v project_v upon_o my_o glass_n to_o speak_v of_o the_o use_n i_o will_v likewise_o take_v occasion_n to_o acquaint_v you_o with_o the_o reason_n of_o the_o work_n in_o a_o brief_a manner_n behold_v the_o ensue_a figure_n for_o the_o cite_v of_o the_o square_a s_o k_n and_o k_o l_o whereof_o the_o one_o be_v umbra_fw-la recta_fw-la the_o other_o umbra_fw-la versa_fw-la be_v no_o other_o thing_n then_o the_o tangent_n of_o lesser_a circle_n in_o the_o semiquadrant_a therefore_o if_o you_o say_v as_o a_o l_o the_o whole_a seal_n be_v to_o l_o r_o the_o equal_a part_n of_o the_o contrary_a shadow_n so_o be_v a_o c_o the_o distance_n to_o c_o b_o the_o altitude_n which_o be_v no_o other_o than_o if_o you_o shall_v say_v as_o a_o l_o the_o radius_fw-la be_v to_o l_o r_o the_o tangent_fw-la so_o be_v a_o c_o the_o distance_n to_o b_o c_o the_o altitude_n therefore_o the_o tangent_n in_o the_o semiquadrant_n of_o the_o lesser_a arke_n may_v suffice_v because_o there_o be_v the_o same_o proportion_n of_o the_o tangent_fw-la to_o the_o radius_fw-la which_o the_o radius_fw-la have_v to_o the_o tangent_fw-la of_o the_o complement_n whereupon_o these_o consequence_n may_v be_v infer_v i_o as_o if_o you_o shall_v say_v as_o d_o p_o be_v to_o p_o shall_fw-mi so_o shall_v it_o come_v all_o to_o one_o purpose_v saynâ—gâ—_n as_o t_o o_fw-fr be_v to_o o_o d._n two_o if_o the_o tangent_fw-la p_o five_o or_o o_o x_o be_v altogether_o require_v you_o may_v easy_o find_v the_o one_o or_o the_o other_o for_o as_o t_o o_fw-fr be_v to_o o_o d_o soâ—s_n d_o p_o to_o p_o shall_fw-mi and_o as_o which_o p_o to_o who_o r_o l_o be_v equal_a be_v to_o p_o d_o so_o be_v d_o o_o to_z o_o x_o for_o a_o distance_n be_v get_v by_o the_o help_n of_o two_o station_n than_o oftentimes_o the_o tangent_fw-la p_o v_o or_o o_o x_o may_v be_v defit_v in_o such_o a_o case_n when_o it_o shall_v happen_v say_v as_o five_o with_o be_v to_o which_o p_o so_o be_v a_o d_o to_z d_o c_o or_o as_o it_o x_o be_v to_o it_o o_o so_o be_v a_o d_o to_z d_o c_o take_v which_o way_n you_o please_v but_o it_o be_v fiâ—_n that_o the_o tangent_fw-la p_o five_o or_o o_o x_o be_v know_v that_o according_o you_o may_v make_v choice_n of_o the_o disâ—drence_n of_o the_o tangent_n at_o the_o first_o and_o second_o station_n that_o be_v whether_o those_o tangent_n be_v visual_a line_n of_o the_o angle_n as_o which_o p_o that_o be_v to_o say_v r_o l_o and_o p_o v_o or_o of_o the_o complement_n as_o o_o f_o and_z o_o x_o because_o i_o the_o tryangle_v compose_v of_o d_o x_o o_o and_z b_o â—_o c_o be_v equiangle_n therefore_o as_o x_o l_o be_v to_o it_o o_o so_o be_v a_o d_o to_z d_o c._n two_o the_o tryangle_v make_v of_o d_o v_o p_o and_o d_o b_o c_o be_v equiangle_v therefore_o as_o five_o with_o be_v to_z w_z p_o so_o be_v b_o z_o to_o z_o c_o and_o and_o as_o b_o z_o be_v to_o z_o c_o so_o be_v a_o d_o to_o a_o c_o because_o d_o z_o be_v parallel_n to_o the_o base_a a_o b_o
all_o the_o angle_n thereof_o chapter_n to_o get_v a_o plat_n at_o many_o station_n by_o the_o doctrine_n of_o the_o last_o chapter_n first_o set_v up_o mark_n in_o every_o angle_n of_o the_o field_n as_o in_o the_o last_o chapter_n of_o this_o book_n then_o place_v your_o instrument_n in_o some_o place_n of_o the_o field_n and_o from_o thence_o draw_v line_n from_o as_o many_o angle_n as_o you_o can_v see_v that_o be_v together_o and_o those_o line_n measure_n and_o set_v the_o measure_a distance_n upon_o the_o line_n on_o the_o instrument_n &_o from_o point_n to_o point_n draw_v line_n to_o represent_v so_o much_o of_o the_o hedge_n then_o appoint_v out_o some_o place_n for_o your_o second_o station_n whereunto_o measure_n and_o then_o draw_v a_o station_n line_n set_v the_o measure_a distance_n thereon_o after_o this_o remove_v your_o table_n to_o that_o second_o station_n and_o there_o fix_v it_o as_o it_o be_v at_o the_o first_o station_n which_o you_o shall_v observe_v with_o your_o needle_n as_o in_o the_o second_o proposition_n of_o the_o sixth_o book_n before_o be_v teach_v then_o from_o the_o centre_n of_o your_o second_o station_n draw_v line_n to_o all_o the_o rest_n of_o the_o angle_n of_o the_o field_n which_o have_v not_o line_n draw_v to_o they_o before_o or_o at_o least_o so_o many_o of_o they_o as_o you_o can_v see_v and_o measure_v the_o line_n as_o at_o the_o first_o station_n this_o do_v choose_v a_o three_o station_n if_o before_o you_o can_v not_o see_v all_o the_o angle_n as_o you_o do_v a_o second_o still_o observe_v that_o your_o needle_n stand_v as_o at_o the_o first_o station_n and_o if_o at_o this_o three_o station_n you_o can_v see_v all_o the_o angle_n yet_o unmeasured_a you_o must_v again_o choose_v a_o four_o station_n and_o the_o five_o if_o need_v require_v and_o thus_o proceed_v till_o you_o have_v take_v all_o the_o angle_n of_o the_o field_n and_o at_o last_o observe_v the_o measure_n into_o every_o angle_n as_o also_o the_o rule_n before_o teach_v you_o shall_v produce_v a_o figure_n proportional_a and_o equal_a in_o angle_n to_o the_o plat_n or_o field_n present_v which_o be_v the_o thing_n require_v to_o be_v do_v the_o field_n be_v f_o g_o h_o i_o k_o l_o m_o n_z o_fw-mi p_o q_o r_o s_o wherein_o i_o plant_v my_o instrument_n at_o a_o whence_o i_o cause_v the_o angle_n s_o f_o g_o h_o i_o and_o no_o more_o therefore_o i_o finish_v all_o those_o angle_n as_o in_o the_o last_o chapter_n and_o then_o find_v out_o another_o station_n as_o b_o where_o i_o plant_v my_o instrument_n as_o at_o a_o in_o all_o respect_n whence_o again_o i_o may_v thence_o see_v the_o angle_n k_o l_o m_o n_z and_o so_o procee_v in_o the_o same_o order_n with_o those_o angle_n draw_v to_o the_o second_o station_n b_o as_o i_o do_v at_o the_o first_o station_n a_o but_o for_o that_o at_o this_o second_o station_n i_o can_v yet_o see_v all_o the_o angle_n in_o the_o field_n therefore_o i_o be_o force_v to_o seek_v a_o three_o station_n as_o c_o and_o there_o observe_v the_o angle_n of_o o_o p_o q_o r_o which_o be_v all_o the_o angle_n which_o i_o protract_v and_o limit_v upon_o the_o paper_n as_o before_o and_o you_o must_v note_v that_o the_o line_n a_o b_o and_z b_o c_o must_v be_v measure_v as_o well_o as_o a_o h_z and_o a_o i_o with_o all_o the_o rest_n and_o note_v that_o the_o needle_n cut_v 40_o deg_fw-la at_o a_o and_o so_o must_v it_o do_v at_o b_o and_o c_o and_o as_o many_o more_o station_n as_o you_o shall_v be_v occasion_v to_o make_v for_o note_v general_a causa_fw-la brevitatis_fw-la the_o south_n end_n of_o the_o needle_n cut_v like_o degree_n in_o the_o card_n at_o every_o station_n as_o at_o the_o first_o station_n this_o chapter_n be_v remember_v lib._n 6._o geodetia_n chap._n 7._o defi_fw-la 5._o chap._n liii_o to_o draw_v the_o plat_n of_o a_o field_n by_o once_o place_v the_o instrument_n in_o a_o angle_n of_o the_o field_n and_o measure_v round_o about_o the_o field_n because_o haply_o you_o can_v traverse_v the_o same_o by_o reason_n of_o water_n and_o such_o like_a impediment_n table_n to_o plat_n by_o measure_v about_o the_o field_n and_o yet_o but_o once_o place_v the_o table_n first_o set_v up_o the_o mark_n of_o every_o angle_n then_o plant_v your_o table_n in_o such_o a_o angle_n from_o whence_o you_o may_v see_v all_o the_o angle_n in_o the_o field_n then_o make_v a_o point_n on_o your_o table_n in_o a_o convenient_a place_n to_o represent_v the_o prick_n of_o your_o first_o station_n from_o whence_o draw_v line_n into_o each_o angle_n than_o measure_n first_o the_o hedge_n which_o be_v on_o the_o contain_v side_n of_o that_o angle_n in_o which_o your_o table_n stand_v and_o set_v those_o measure_n by_o the_o scale_n on_o that_o line_n which_o represent_v it_o then_o measure_v the_o next_o hodge_n unto_o it_o and_o take_v so_o many_o measure_n on_o the_o scale_n and_o set_v one_o of_o the_o foot_n of_o your_o compass_n in_o the_o last_o make_v prick_v and_o with_o the_o other_o foot_n strike_v a_o arch_n through_o the_o next_o line_n to_o it_o and_o note_v the_o interception_n thereof_o and_o from_o the_o prick_n last_o make_v thereunto_o draw_v a_o line_n which_o shall_v represent_v the_o second_o hedge_n and_o in_o this_o order_n measure_n about_o the_o field_n and_o strike_v a_o arch_n from_o line_n to_o line_n as_o in_o the_o first_o so_o shall_v you_o produce_v a_o figure_n proportional_a to_o the_o field_n the_o figure_n be_v a_o b_o c_o d_o e_o f_o g_o the_o angle_n where_o the_o instrument_n be_v plant_v be_v a_o whence_o i_o draw_v line_n into_o every_o angle_n as_o a_o b_o a_o c_o a_o d_o a_o e_z a_o f_z and_o a_o g_o then_z i_o measure_v the_o line_n a_o b_o and_o lay_v it_o down_o than_o i_o measure_v the_o line_n b_o c_o and_o note_v where_o it_o intersect_v with_o a_o c_o as_o at_o c_o then_z i_o measure_v c_o d_o and_o note_v where_o it_o intersect_v with_o d_o &_o so_o i_o go_v round_o about_o the_o field_n and_o produce_v a_o figure_n proportional_a to_o the_o figure_n propose_v chap._n liiii_o to_o take_v the_o plat_n of_o a_o field_n by_o the_o rule_n of_o the_o last_o chapter_n where_o all_o the_o angle_n can_v be_v see_v from_o one_o angle_n first_o angle_n out_o the_o field_n then_o plant_v your_o table_n in_o one_o angle_n as_o in_o the_o last_o chapter_n and_o from_o that_o angle_n get_v as_o great_a a_o part_n of_o the_o field_n as_o you_o can_v in_o order_n as_o in_o the_o last_o chapter_n then_o plant_v your_o table_n again_o in_o a_o angle_n where_o your_o last_o measure_n end_v in_o like_a fort_n situate_v as_o at_o the_o first_o station_n which_o you_o shall_v do_v by_o set_v the_o needle_n on_o the_o same_o degree_n it_o cut_v at_o the_o first_o station_n or_o look_v back_o as_o have_v be_v before_o teach_v from_o whence_o take_v all_o the_o rest_n of_o the_o field_n if_o you_o can_v there_o see_v all_o the_o rest_n of_o the_o angle_n if_o not_o you_o may_v make_v a_o station_n or_o two_o more_o as_o occasion_n shall_v serve_v and_o so_o work_v till_o you_o have_v whole_o enclose_v the_o field_n so_o shall_v you_o make_v a_o figure_n on_o the_o table_n proportional_a to_o the_o plat_n of_o the_o field_n with_o angle_n equal_a thereunto_o this_o chapter_n differ_v little_a from_o the_o last_o only_o you_o must_v perform_v that_o at_o many_o station_n that_o there_o you_o do_v at_o one_o this_o agree_v with_o the_o 7_o chapter_n def_n 4._o geodetia_n chap._n lv._o to_o draw_v the_o plat_n of_o a_o piece_n of_o ground_n by_o 2_o station_n and_o measure_v but_o one_o line_n where_o all_o the_o angle_n of_o the_o field_n may_v be_v see_v from_o both_o the_o place_n first_o go_v round_o about_o the_o field_n and_o set_v up_o mark_n in_o every_o angle_n thereof_o station_n a_o plat_n of_o two_o station_n then_o choose_v out_o your_o 2_o station_n something_o near_o the_o middle_n of_o the_o field_n a_o good_a distance_n one_o from_o another_o in_o such_o sort_n that_o they_o lie_v not_o both_o in_o a_o straight_a line_n to_o any_o of_o the_o angle_n of_o the_o field_n but_o so_o that_o they_o may_v make_v as_o great_a angle_n with_o every_o angle_n of_o the_o field_n as_o may_v be_v for_o the_o great_a regard_n you_o have_v in_o the_o choose_n out_o your_o two_o station_n the_o better_a will_v your_o line_n intercept_v one_o from_o another_o wherefore_o have_v thus_o make_v choice_n of_o your_o station_n the_o work_n be_v perform_v as_o in_o the_o 31_o chapt._n as_o you_o may_v gather_v by_o the_o demonstration_n c_o d_o f_o g_o h_o i_o k_o be_v the_o peripher_n
55._o chapter_n i_o utter_o dislike_v thereof_o because_o the_o section_n of_o some_o angle_n fall_v out_o so_o acute_a that_o the_o conclusion_n can_v be_v without_o error_n therefore_o such_o work_n that_o be_v require_v by_o the_o help_n of_o two_o station_n be_v best_a to_o be_v wrought_v by_o the_o 12._o or_o 14._o chapter_n now_o for_o woodland_n and_o rough_a ground_n or_o great_a champion_n fielden_a ground_n use_v the_o 57_o or_o 58._o chapter_n joint_o by_o themselves_o or_o several_o according_a as_o the_o aptness_n of_o the_o ground_n occasion_n you_o you_o may_v also_o well_o use_v the_o 9_o and_o 29._o chapter_n to_o the_o like_a purpose_n but_o have_v a_o special_a care_n in_o all_o your_o dimension_n and_o plat_a that_o you_o true_o observe_v the_o angle_n and_o corner_n of_o the_o field_n and_o so_o consequent_o precise_o mete_v the_o hedge_n and_o limit_n remember_v ever_o when_o you_o work_v with_o the_o plain_a table_n or_o circumferentor_n to_o keep_v your_o instrument_n parallel_v touch_v the_o best_a instrument_n for_o this_o purpose_n i_o leave_v that_o to_o the_o discretion_n of_o the_o reader_n for_o my_o best_a council_n be_v that_o every_o good_a practitioner_n make_v proof_n of_o every_o instrument_n as_o i_o have_v do_v and_o afterward_o to_o apply_v such_o to_o use_v that_o he_o find_v to_o work_v with_o the_o producement_n of_o few_o error_n for_o i_o will_v nominate_v none_o lest_o it_o be_v censure_v but_o my_o peculiar_a affectation_n for_o every_o one_o do_v commend_v that_o instrument_n whereon_o he_o do_v practice_n or_o in_o which_o he_o be_v see_v and_o therefore_o some_o affect_v the_o plain_a table_n some_o the_o theodelitus_n etc._n etc._n which_o be_v all_o in_o some_o respect_v sufficient_a for_o ordinary_a measurer_n of_o land_n so_o they_o be_v use_v according_a to_o art_n here_o shall_v follow_v another_o kind_n of_o engross_n of_o particular_n then_o that_o in_o the_o staff_n together_o with_o the_o pleasant_a and_o apt_a place_n of_o the_o four_o wind_n and_o their_o collateral_n in_o any_o plat_n take_v which_o be_v draw_v in_o red_a line_n and_o artificial_o do_v will_v much_o beautify_v the_o same_o neither_o need_v you_o to_o extend_v they_o all_o over_o the_o body_n of_o the_o plat_n unless_o you_o please_v but_o in_o that_o your_o own_o discretion_n shall_v be_v your_o best_a guide_n the_o description_n and_o use_n of_o a_o instrument_n call_v the_o circumferentor_n use_v by_o some_o only_a to_o measure_v land_n who_o use_n be_v first_o practise_v by_o i._o g._n and_o now_o publish_v and_o annex_v hereunto_o in_o a_o brief_a method_n of_o teach_v and_o in_o some_o part_n alter_v by_o arthur_n hopton_n chap._n lxi_o a_o description_n of_o the_o circumferentor_n and_o the_o part_n thereof_o you_o must_v first_o prepare_v some_o piece_n of_o wood_n well_o season_v circumferentor_n the_o circumferentor_n and_o bear_v a_o smooth_a grain_n which_o let_v be_v fire_n inch_n or_o there_o about_o long_o four_o inch_n broad_a and_o about_o a_o inch_n thick_a then_o must_v you_o stoup_n down_o the_o left_a side_n thereof_o and_o divide_v the_o same_o into_o equal_a part_n according_a to_o 12._o in_o a_o inch_n number_v the_o same_o by_o 5.10.15_o etc._n etc._n card_n the_o needle_n and_o card_n in_o this_o piece_n of_o wood_n must_v there_o be_v a_o round_a hole_n cut_v or_o turn_v of_o three_o inch_n diameter_n and_o three_o quarter_n of_o a_o inch_n déene_fw-mi in_o the_o bottom_n whereof_o be_v place_v a_o card_n as_o in_o the_o 4._o chapter_n at_o 3._o this_o round_a hole_n have_v a_o needle_n therein_o and_o a_o glass_n to_o cover_v the_o same_o as_o in_o the_o four_o chapter_n of_o the_o topographicall_a glass_n at_o 10._o then_o upon_o this_o square_a piece_n of_o wood_n be_v place_v a_o table_n call_v tabula_fw-la sinuum_fw-la and_o this_o be_v such_o a_o table_n that_o be_v calculate_v out_o of_o a_o quadrant_a who_o arch_n be_v divide_v into_o 30._o degree_n 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d_o e_z 100_o leave_v 510._o perch_n the_o distance_n a_o b._n chap._n lxxxvi_o to_o seek_v the_o distance_n of_o any_o thing_n from_o you_o howsoever_o situate_a and_o that_o after_o a_o new_a way_n new_o devise_v without_o the_o help_n of_o instrument_n i_o do_v not_o remember_v any_o proposition_n perform_v without_o instrument_n more_o easy_a speedy_a and_o true_a to_o seek_v the_o distance_n of_o any_o thing_n from_o you_o then_o this_o be_v the_o 82._o chapter_n be_v as_o true_a in_o demonstration_n but_o not_o so_o easy_a and_o speedy_a in_o work_v for_o here_o you_o be_v not_o tie_v to_o right_a angle_n and_o such_o like_a but_o only_o be_v allow_v to_o make_v the_o observation_n according_a to_o the_o aptness_n of_o the_o ground_n neither_o need_n you_o to_o fear_v whether_o you_o be_v situate_a upon_o hill_n or_o in_o valley_n more_o than_o if_o you_o be_v on_o the_o plain_a ground_n in_o performance_n whereof_o you_o shall_v make_v a_o triangle_n of_o what_o side_n and_o 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