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this_o instrument_n which_o at_o this_o time_n i_o omit_v chap._n xlvi_o thing_n belong_v to_o the_o use_n of_o the_o plain_a table_n table_n thing_n belong_v to_o the_o plain_a table_n to_o this_o instrument_n as_o to_o all_o other_o appertain_v a_o chain_n or_o wire_n line_n of_o four_o perche_n long_o according_a to_o 16._o foot_n and_o ½_n or_o of_o three_o perche_n long_o which_o be_v 16._o yard_n and_o ½_n let_v the_o perche_n be_v note_v with_o brass_n ring_v at_o the_o end_n thereof_o and_o then_o divide_v into_o half_n &_o quarter_n line_n the_o line_n with_o lesser_a ring_n fix_v at_o each_o quarter_n and_o half_a that_o you_o may_v distinguish_v the_o same_o compass_n a_o scale_n &_o compass_n you_o must_v also_o provide_v a_o scale_n of_o brass_n or_o wood_n whether_o you_o please_v with_o a_o pair_n of_o brass_n compass_n point_v with_o steel_n very_o neat_a and_o sharp_a for_o it_o be_v rude_a to_o draw_v your_o line_n geometrical_a with_o painter_n kéeler_n or_o black_a 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you_o espy_v the_o mark_n leave_v at_o your_o first_o station_n which_o do_v make_v fast_o the_o table_n with_o your_o screw_n work_n a_o proof_n of_o the_o work_n now_o for_o proof_n of_o the_o exactness_n of_o your_o work_n and_o to_o know_v if_o you_o have_v true_o take_v your_o back_n sight_n have_v respect_n to_o the_o south_n end_n of_o the_o needle_n for_o if_o it_o cut_v the_o like_a dgrée_n at_o this_o second_o station_n aâ—_n at_o the_o first_o you_o have_v do_v well_o have_v so_o do_v place_n again_o the_o fiducial_a edge_n of_o the_o rule_n upon_o this_o point_n of_o your_o second_o station_n the_o one_o end_n be_v there_o fix_v move_v the_o other_o end_n until_o through_o the_o sight_n you_o see_v the_o mark_n who_o distance_n be_v require_v then_o draw_v a_o line_n by_o the_o fiducial_a edge_n of_o the_o rule_n which_o will_v intercept_v with_o the_o line_n draw_v from_o your_o first_o station_n thereunto_o therefore_o note_v the_o point_n of_o intersection_n and_o by_o 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40._o as_o before_o which_o argue_v i_o have_v well_o plant_v my_o table_n to_o conclunde_v i_o place_v the_o fiducial_a edge_n of_o my_o rule_n upon_o c_o move_v â—he_v other_o end_n until_o it_o intersect_v with_o the_o line_n represent_v a_o b_o therefore_o by_o my_o scale_n i_o measure_v the_o line_n represent_v b_o a_fw-fr so_o have_v i_o the_o distance_n of_o b_o a_o 135._o yard_n by_o the_o same_o scale_n may_v you_o have_v express_v c_o a._n chap._n xlviii_o the_o part_n of_o the_o distance_n of_o any_o thing_n be_v give_v to_o find_v the_o rest_n understanding_n the_o last_o chapter_n so_o we_o may_v thereby_o avoid_v many_o word_n and_o may_v most_o easy_o be_v perform_v by_o the_o geodeticall_a staff_n as_o may_v appear_v in_o the_o proposition_n of_o the_o 18.19_o or_o 32._o chapter_n of_o the_o second_o book_n of_o the_o geodeticall_a staff_n but_o to_o proceed_v a_o b_o be_v a_o distance_n require_v the_o part_n of_o that_o distance_n give_v be_v a_o c_o 50._o perche_n then_o do_v i_o plant_v my_o instrument_n at_o a_o as_o i_o do_v in_o the_o last_o chapter_n at_o my_o first_o station_n draw_v a_o line_n to_o represent_v a_o b_o infinite_o then_o lay_v down_o my_o scale_n upon_o the_o same_o line_n the_o part_n give_v represent_v a_o c_o 50._o perche_n the_o instrument_n unremoved_a i_o seek_v a_o second_o station_n as_o in_o the_o last_o chapter_n which_o be_v d_o but_o the_o stationary_a line_n shall_v not_o be_v measure_v last_o i_o note_v the_o degree_n cut_v by_o the_o south_n end_n of_o my_o needle_n then_o leave_v one_o at_o a_o i_o carry_v my_o instrument_n to_o d_o where_o i_o plant_v he_o in_o a_o respect_v as_o at_o a_o now_o must_v i_o find_v the_o
point_n upon_o the_o paper_n which_o represent_v c_o and_o thereupon_o lie_v the_o fiducial_a edge_n of_o the_o rule_n move_v the_o other_o end_n until_o through_o the_o sight_n you_o seâ—_n c_o so_fw-ge wilt_fw-ge the_o edge_n of_o the_o ruler_n in_o the_o line_n upon_o the_o paper_n represent_v â—_o d_o thâ—â—_n kâ—â—ping_v the_o â—uler_a â—pon_n that_o point_n d_o i_o move_v the_o other_o 〈◊〉_d until_o it_o pâ—â—oâ—_n to_o 〈◊〉_d shall_v the_o fiducial_a edge_n of_o the_o rule_n intersectâ—_n witâ—_n the_o â—â—â—e_a 〈◊〉_d the_o papâ—â—_n represent_v a_o b_o from_o the_o point_n of_o which_o intersection_n to_o the_o point_n a_o be_v b_o the_o term_n of_o the_o line_n a_o b_o which_o be_v measure_v by_o your_o scale_n and_o compass_n be_v find_v 133_o perche_n chap._n xlix_o to_o take_v the_o distance_n of_o any_o two_o town_n or_o such_o like_a consider_v well_o the_o premise_n and_o this_o labour_n be_v already_o effect_v therefore_o plant_v your_o instrument_n at_o a_o latitude_n latitude_n as_o you_o be_v direct_v in_o the_o 29_o chapter_n and_o let_v the_o latitude_n require_v be_v d_o c_o noâ—â—raw_v line_n from_o a_o to_o point_n to_o d_o and_o c_o and_o also_o to_o b_o your_o second_o station_n now_o observe_v the_o former_a direction_n i_o remove_v my_o instrument_n to_o b_o and_o so_o draw_v line_n from_o b_o to_o point_n again_o to_o d_o and_o c_o then_o do_v i_o note_v the_o concourse_n or_o intersection_n of_o the_o say_a line_n which_o i_o measure_v by_o the_o scale_n and_o compass_n as_o before_o so_o will_v the_o stationary_a line_n a_o b_o be_v 316_o perch_n and_o the_o distance_n require_v d_o c_o 131_o perch_n distance_n a_o note_n for_o many_o distance_n and_o here_o note_v if_o you_o have_v seek_v more_o distance_n as_o the_o distance_n of_o f_o e_o e_o d_o d_o c_o etc._n etc._n the_o labour_n be_v no_o more_o but_o to_o draw_v line_n at_o every_o station_n to_o point_v â—nto_o the_o distance_n require_v and_o then_o to_o note_v the_o 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the_o sight_n upon_o the_o very_a edge_n of_o one_o of_o the_o side_n of_o the_o plaine-table_n turn_v the_o table_n about_o until_o through_o the_o sight_n you_o espy_v the_o mark_n who_o distance_n be_v require_v but_o with_o this_o proviso_n that_o the_o corner_n of_o the_o table_n where_o the_o division_n take_v begin_n be_v near_o unto_o you_o this_o do_v take_v the_o ruler_n with_o the_o sight_n the_o table_n unmon_v and_o place_v the_o same_o upon_o the_o right_a side_n the_o table_n as_o before_o and_o then_o look_v through_o the_o sight_n espy_v your_o second_o station_n in_o a_o know_a distance_n from_o your_o first_o station_n next_o shall_v you_o bear_v your_o instrument_n to_o your_o second_o station_n situate_a the_o instrument_n by_o help_n of_o the_o needle_n and_o back_n sight_n here_o in_o all_o respect_n as_o it_o be_v at_o the_o first_o which_o be_v do_v lay_v the_o ruler_n over_o the_o corner_n or_o both_o side_n of_o the_o instrument_n remove_v the_o same_o 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field_n and_o in_o every_o angle_n set_v up_o some_o mark_n then_o plant_v your_o table_n cover_v with_o paper_n in_o such_o a_o place_n as_o from_o thence_o you_o may_v see_v all_o the_o angle_n of_o the_o field_n that_o do_v in_o a_o place_n convenient_a of_o your_o table_n make_v a_o prick_n or_o point_n to_o represent_v the_o place_n of_o stand_v from_o the_o point_n to_o each_o mark_n draw_v a_o visual_a line_n by_o the_o edge_n of_o your_o ruler_n then_o from_o your_o place_n of_o stand_v measure_v exact_o with_o your_o wire_n line_v the_o just_a distance_n in_o perche_n to_o each_o several_a mark_n and_o set_v those_o distance_n by_o the_o scale_n each_o upon_o his_o own_o line_n which_o be_v draw_v to_o those_o mark_n note_v these_o several_a point_n where_o these_o measure_n end_n last_o from_o point_n to_o point_n by_o the_o edge_n of_o your_o ruler_n draw_v line_n which_o shall_v include_v a_o figure_n proportional_a to_o the_o field_n to_o be_v measure_v and_o the_o line_n 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of_o the_o field_n a_o be_v my_o first_o station_n b_o my_o second_o and_o so_o work_v by_o the_o doctrine_n of_o the_o 31_o chapter_n i_o obtain_v a_o line_n like_o proportional_a to_o the_o field_n which_o be_v require_v chap._n lvi_o to_o draw_v the_o plat_n of_o a_o field_n by_o many_o station_n and_o and_o yet_o to_o measure_v but_o one_o line_n in_o the_o whole_a first_o set_v up_o mark_n in_o every_o angle_n than_o point_n out_o your_o first_o station_n where_o your_o instrument_n be_v place_v draw_v from_o the_o prick_n of_o your_o station_n line_n to_o as_o many_o angle_n as_o you_o can_v convenient_o see_v then_o appoint_v out_o your_o station_n in_o such_o a_o place_n from_o whence_o you_o may_v see_v all_o those_o mark_n to_o which_o you_o draw_v line_n at_o your_o first_o station_n to_o which_o station_n draw_v a_o line_n and_o measure_v the_o distance_n betwixt_o those_o two_o station_n upon_o that_o line_n set_v your_o distance_n by_o your_o scale_n and_o then_o remove_v 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note_v you_o shall_v resort_v unto_o a_o fair_a sheet_n of_o paper_n and_o there_o protract_v it_o down_o thus_o in_o some_o place_n of_o the_o paper_n make_v a_o point_n and_o there_o place_v the_o fiducial_a edge_n of_o your_o instrument_n turn_v it_o about_o until_o the_o south_n end_n of_o the_o needle_n cut_v like_o degree_n as_o he_o do_v at_o your_o first_o observation_n then_o draw_v a_o line_n by_o the_o fiducial_a edge_n of_o the_o instrument_n whereupon_o from_o the_o say_a point_n to_o ward_n the_o other_o end_n lay_v down_o the_o length_n of_o the_o first_o measure_v line_n which_o you_o must_v take_v with_o your_o compass_n from_o your_o scale_n &_o where_o that_o number_n end_v in_o the_o say_a line_n there_o make_v a_o point_n where_o place_n the_o edge_n of_o your_o instrument_n move_v he_o about_o until_o the_o south_n end_n of_o your_o needle_n cut_v like_o degree_n he_o do_v at_o your_o second_o observation_n then_o draw_v a_o line_n by_o the_o fiducial_a edge_n 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ground_n chap._n lxxiiii_o to_o take_v a_o plat_n at_o one_o station_n from_o whence_o you_o you_o may_v see_v all_o the_o angle_n in_o the_o field_n by_o the_o old_a or_o new_a circumferentor_n station_n to_o take_v a_o plat_n at_o one_o station_n this_o kind_n of_o work_v be_v perform_v with_o as_o much_o ease_n as_o the_o former_a you_o shall_v therefore_o repair_v into_o the_o field_n and_o find_v some_o such_o place_n from_o whence_o you_o may_v behold_v all_o the_o corner_n in_o the_o say_a field_n where_o plant_v your_o instrument_n and_o then_o begin_v at_o some_o one_o angle_n whereunto_o direct_a your_o sight_n note_v the_o degree_n cut_v by_o the_o south_n end_n of_o the_o needle_n then_o direct_v your_o sight_n unto_o the_o second_o corner_n upon_o the_o right_a hand_n and_o there_o again_o note_v the_o
degree_n cut_v by_o the_o south_n end_n of_o the_o needle_n which_o note_v down_o and_o so_o procee_v rightwards_o from_o angle_n to_o angle_v note_v the_o degree_n cut_v by_o the_o south_n end_n staff_n you_o be_v teach_v this_o chapter_n with_o a_o demonstration_n lib._n 6._o cap._n 3._o of_o the_o geodeticall_a staff_n until_o you_o have_v go_v round_o about_o the_o field_n of_o which_o degree_n cut_v you_o shall_v make_v a_o little_a table_n to_o the_o end_n you_o may_v remember_v how_o many_o degree_n be_v cut_v at_o the_o first_o second_o three_o etc._n etc._n corner_n next_o shall_v you_o cause_v one_o to_o mete_v with_o a_o chain_n the_o true_a distance_n of_o the_o first_o corner_n from_o your_o staff_n which_o note_v down_o against_o the_o the_o first_fw-mi degree_n cut_v in_o your_o table_n then_o mete_v the_o distance_n of_o the_o second_o corner_n from_o your_o instrument_n which_o note_v down_o in_o your_o table_n against_o the_o number_n of_o degree_n cut_v at_o the_o second_o corner_n and_o thus_o procee_v until_o you_o have_v go_v round_o about_o the_o field_n lay_v down_o the_o distance_n of_o every_o angle_n from_o your_o instrument_n against_o his_o proper_a degree_n cut_v which_o do_v fall_v to_o protract_v thus_o have_v prepare_v a_o fair_a shéet_n of_o paper_n as_o you_o be_v teach_v before_o about_o the_o midst_n thereof_o make_v a_o point_n which_o call_v your_o station_n then_o apply_v the_o edge_n of_o your_o instrument_n thereunto_o move_v he_o about_o until_o the_o south_n end_n of_o the_o needle_n cut_v the_o degree_n you_o note_v at_o the_o first_o corner_n which_o do_v draw_v a_o line_n by_o the_o edge_n of_o the_o instrument_n from_o the_o point_n make_v in_o the_o paper_n out_o at_o length_n then_o move_v he_o rightwards_o until_o the_o south_n end_n of_o the_o needle_n cut_v the_o degree_n note_v at_o the_o second_o corner_n and_o then_o by_o the_o edge_n of_o the_o instrument_n draw_v another_o line_n as_o before_o &_o so_o go_v forward_o until_o you_o have_v finish_v all_o the_o degree_n cut_v by_o the_o south_n end_n of_o your_o needle_n note_v in_o your_o table_n then_o with_o your_o compass_n take_v from_o your_o scale_n the_o distance_n of_o the_o first_o angle_n from_o your_o instrument_n which_o lie_v in_o the_o line_n first_o draw_v from_o the_o point_n make_v in_o the_o paper_n towards_o the_o other_o end_n of_o the_o line_n then_o take_v the_o distance_n of_o the_o second_o corner_n from_o your_o instrument_n which_o apply_v to_o the_o second_o line_n draw_v in_o the_o paper_n and_o so_o procee_v from_o line_n to_o line_n according_a as_o you_o be_v teach_v in_o the_o three_o chapter_n of_o the_o art_n of_o measure_v ground_n the_o length_n of_o every_o line_n lay_v down_o in_o such_o order_n as_o be_v say_v then_o must_v you_o draw_v line_n from_o point_n to_o point_n in_o each_o line_n so_o shall_v you_o draw_v the_o limit_n and_o proportion_n of_o the_o ground_n according_a as_o in_o the_o foresay_a three_o chapter_n of_o the_o art_n of_o measure_v ground_n by_o the_o staff_n and_o by_o this_o mean_n may_v you_o measure_v ground_n at_o two_o station_n measure_v but_o one_o line_n in_o the_o whole_a plat_n in_o such_o order_n as_o i_o set_v down_o in_o the_o four_o chapter_n of_o the_o six_o book_n of_o the_o geodetical_a staff_n and_o since_o what_o be_v say_v before_o may_v give_v sufficient_a light_n to_o perform_v both_o this_o way_n and_o many_o other_o i_o will_v omit_v further_a speech_n lest_o i_o rather_o seem_v tedious_a to_o the_o wise_a then_o facile_a to_o the_o unlearned_a and_o you_o shall_v here_o note_v that_o by_o take_v perfect_a note_n in_o the_o field_n where_o one_o close_o bound_v upon_o another_o you_o may_v take_v the_o plat_n of_o many_o fleld_n lie_v together_o and_o so_o save_v a_o great_a labour_n chap._n lxxiiii_o the_o degree_n of_o a_o field_n be_v take_v to_o find_v whether_o the_o plat_n will_v close_v the_o line_n be_v true_o take_v close_v to_o know_v if_o your_o plat_n will_v close_v note_v down_o the_o quantity_n of_o every_o angle_n at_o each_o several_a station_n as_o well_o as_o you_o do_v the_o degree_n cut_v then_o add_v up_o all_o the_o quantity_n together_o then_o multiply_v 60._o by_o a_o number_n less_o by_o 2_o then_o the_o number_n of_o the_o angle_n and_o if_o your_o work_n be_v right_a the_o product_n thereof_o shall_v be_v equal_a to_o the_o total_a of_o the_o quantity_n example_n let_v the_o number_n of_o angle_n be_v 8._o from_o which_o take_v 6._o which_o be_v a_o less_o then_o multiply_v 60._o by_o 6._o and_o the_o product_n will_v be_v 360._o which_v agree_v with_o the_o total_a of_o all_o your_o quantity_n of_o angle_n add_v together_o be_v one_o argument_n that_o the_o plat_n will_v close_v chap._n lxxv_o to_o reduce_v hipothenusall_a line_n unto_o horizontall_a after_o another_o way_n then_o in_o the_o 6_o book_n 8_o chapter_n of_o the_o geodeticall_a staff_n only_o by_o the_o sight_n in_o the_o old_a circumferentor_n line_n to_o reduce_v hypothenusall_a line_n to_o horizontal_n line_n prepare_v a_o mark_n to_o be_v carry_v before_o you_o the_o just_a height_n of_o your_o line_n of_o level_n from_o the_o ground_n when_o the_o iustrument_n be_v plant_v upon_o his_o rest_n this_o mark_n must_v be_v place_v in_o the_o angle_n whereunto_o you_o look_v he_o must_v stand_v perpendicular_a and_o when_o you_o take_v the_o degree_n look_v your_o instrument_n stand_v perpendicular_a and_o then_o move_v the_o vane_n upon_o the_o sight_n until_o you_o see_v the_o top_n of_o the_o mark_n before_o plant_v through_o the_o hole_n in_o the_o vane_n and_o by_o the_o pin_n head_n then_o in_o the_o hypothenusall_n division_n cut_v by_o the_o vane_n upon_o the_o sight_n for_o they_o will_v show_v you_o how_o much_o that_o line_n you_o shall_v measure_v will_v differ_v upon_o the_o 100_o from_o that_o line_n you_o shall_v measure_v if_o the_o ground_n be_v level_a therefore_o when_o you_o have_v measure_v that_o line_n proportion_n he_o according_a to_o the_o part_n cut_v example_n suppose_v the_o part_n of_o the_o hipothenusall_n division_n cut_v to_o be_v 4_o and_o the_o line_n measure_v to_o be_v 30_o perche_n now_o you_o be_v to_o find_v a_o number_n to_o bear_v like_o proportion_n to_o 30_o as_o 100_o bear_v to_o 104_o which_o you_o shall_v find_v to_o be_v 28_o 1_o 5_o 1_o 1_o so_o that_o the_o line_n measure_v by_o the_o chain_n to_o be_v 30_o perche_n must_v be_v lay_v down_o 28_o 1_o 1_o 1_o 3_o perche_n in_o your_o protract_n but_o for_o asmuch_o as_o these_o calculation_n be_v tedious_a in_o the_o field_n your_o best_a way_n be_v to_o note_v the_o hipothenusall_n part_v cut_v and_o then_o reduce_v they_o when_o you_o come_v home_o chap._n lxxvii_o to_o perform_v the_o same_o by_o a_o quadrant_n make_v of_o purpose_n line_n a_o new_a quadrant_n to_o proportion_n line_n you_o shall_v prepare_v a_o quadrant_n and_o then_o divide_v the_o limb_n thereof_o in_o 30_o equal_a degree_n set_v number_n thereupon_o as_o the_o common_a order_n be_v then_o shall_v you_o divide_v the_o low_a side_n of_o the_o quadrant_n the_o be_v betwixt_o the_o first_o degree_n &_o the_o centre_n into_o 30_o equal_a part_n raise_v perpendicular_a line_n upon_o each_o division_n which_o will_v be_v parallel_n unto_o the_o other_o side_n this_o do_v prepare_v a_o index_n of_o the_o length_n of_o the_o semidiameter_n of_o the_o quadrant_n with_o a_o centre_n hole_n therein_o this_o index_n be_v to_o be_v fasten_v to_o the_o centre_n of_o the_o quadrant_n with_o a_o brass_n pin_n or_o such_o like_a which_o also_o must_v be_v divide_v into_o 30_o such_o equal_a part_n as_o the_o semidiameter_n be_v the_o quadrant_n thus_o prepare_v you_o shall_v fore_o shorten_v the_o line_n thus_o first_o for_o the_o take_n of_o your_o note_n in_o the_o field_n you_o must_v work_v as_o in_o the_o last_o chapter_n only_o here_o you_o must_v note_v the_o degree_n of_o a_o circle_n cut_v by_o the_o vane_n in_o steed_n of_o the_o hypothenusall_n division_n and_o then_o procee_v thus_o put_v the_o index_n to_o the_o different_a angle_n in_o the_o limb_n than_o number_n the_o line_n measure_v upon_o the_o index_n and_o note_v the_o perpendicular_a there_o cut_v by_o the_o edge_n of_o the_o index_n for_o that_o shall_v show_v you_o the_o length_n of_o the_o horizontall_a line_n which_o must_v be_v protract_v example_n let_v the_o different_a angle_n from_o the_o horizon_n be_v take_v 18_o degr_n and_o the_o line_n measure_v 20_o perch_n first_o count_v 18_o degree_n in_o the_o limb_n than_o thereunto_o bring_v the_o edge_n of_o the_o index_n next_o count_v the_o line_n measure_v viz._n 20._o perche_n upon_o the_o index_n fromwards_o the_o centre_n so_o shall_v you_o there_o
two_o side_n apposite_a lie_n parallel_n to_o the_o line_n a_o c_o and_o the_o other_o two_o opposite_a side_n to_o the_o line_n b_o d_o and_o if_o you_o work_v by_o the_o help_n of_o the_o néedâ—â—_n beware_v that_o no_o one_o come_v about_o you_o but_o such_o as_o you_o know_v kind_a friend_n loost_n otherwise_o of_o purpose_n they_o bear_v a_o loadstone_n about_o they_o which_o may_v confound_v you_o in_o your_o work_n chap._n v._o to_o set_v the_o part_n of_o the_o topographicall_a glass_n together_o have_v now_o finish_v every_o part_n of_o this_o instrument_n and_o be_v ready_a to_o set_v he_o to_o work_v thus_o must_v the_o part_n be_v join_v together_o first_o upon_o the_o centre_n in_o the_o body_n of_o the_o instrument_n place_n the_o circle_n with_o the_o index_n f_o g_o h_o i_o and_o within_o this_o circle_n place_v the_o box_n with_o screw_a pin_n to_o keep_v down_o the_o circle_n in_o such_o sort_n as_o before_o be_v say_v and_o let_v the_o box_n be_v furnish_v with_o his_o needle_n card_n &_o glass_n as_o in_o their_o proper_a place_n be_v teach_v next_o place_n the_o great_a circular_a sight_n upon_o the_o index_n f_o g_o and_o the_o other_o sight_n upon_o the_o other_o index_n place_v they_o artificial_o as_o you_o be_v teach_v before_o next_o put_v the_o movable_a sight_n upon_o the_o demicircle_n and_o screw_v the_o socket_n to_o the_o back_n side_n so_o be_v this_o instrument_n prepare_v to_o work_v as_o the_o theodelitus_n topographicall_a instrument_n geometrical_a quadrant_n or_o as_o the_o circumferentor_n and_o may_v serve_v for_o the_o plain_a table_n as_o shall_v follow_v after_o the_o rest_n to_o work_v as_o the_o theodelitus_n and_o topographicall_a instrument_n chap._n vi_o the_o description_n of_o the_o theodelitus_n and_o topographicall_a instrument_n with_o the_o necessity_n of_o reformation_n thereof_o theodelitus_n the_o description_n of_o the_o theodelitus_n the_o theodelitus_n be_v a_o instrument_n consist_v of_o a_o planisphere_n and_o a_o alhidada_n upon_o the_o planisphere_n there_o be_v describe_v a_o circle_n which_o be_v divide_v into_o 360._o degree_n etc._n etc._n within_o this_o circle_n there_o be_v inscribe_v a_o square_a which_o be_v part_v into_o a_o certain_a number_n of_o equal_a part_n which_o do_v represent_v part_n of_o the_o geometrical_a quadrant_n and_o no_o more_o division_n or_o graduation_n be_v in_o the_o planisphere_n of_o the_o theodelitus_n the_o alhidada_n be_v a_o straight_a ruler_n with_o a_o fiducial_a edge_n move_v equal_o and_o true_o upon_o the_o centre_n of_o the_o planisphere_n who_o length_n be_v equal_a with_o the_o diameter_n of_o the_o circle_n in_o the_o planisphere_n upon_o the_o two_o end_n of_o this_o index_n or_o alhidada_n as_o fix_v two_o fould_a sight_n instrument_n the_o description_n of_o the_o topographical_n instrument_n but_o if_o you_o make_v this_o instrument_n like_o to_o that_o which_o master_n digges_n call_v the_o topographicall_a instrument_n then_o be_v there_o a_o box_n and_o a_o needle_n place_v in_o the_o centre_n of_o the_o planisphere_n over_o which_o there_o do_v stand_v a_o perpendicular_a whereon_o be_v place_v a_o semicircle_n to_o move_v up_o &_o down_o upon_o the_o perpendicular_a and_o to_o move_v about_o with_o the_o alhidada_n this_o demicircle_n be_v divide_v into_o twice_o 90_o degree_n both_o end_n in_o the_o semidiameter_n which_o sediameter_n stand_v upward_o the_o arch_n hang_v towards_o the_o planisphere_n within_o this_o semicircle_n be_v describe_v the_o geometrical_a quadrant_n which_o serve_v for_o height_n who_o part_n and_o also_o the_o degree_n of_o the_o demicircle_n be_v cut_v by_o the_o fiducial_a edge_n of_o the_o perpendicular_a but_o in_o this_o glass_n the_o diameter_n of_o the_o demi-circle_n lie_v downward_o and_o always_o parallel_v to_o the_o planisphere_n whereas_o the_o other_o be_v movable_a and_o as_o in_o the_o other_o demicircle_n there_o be_v twice_o 90._o degree_n here_o be_v but_o 90_o degree_n in_o all_o so_o that_o they_o be_v twice_o so_o large_a as_o the_o other_o certain_o this_o demi-circle_n without_o show_v further_o reason_n be_v far_o surpass_v that_o of_o m._n digges_n for_o diverse_a good_a respect_n i_o may_v well_o take_v occasion_n to_o speak_v of_o but_o for_o that_o happy_o some_o will_v say_v the_o theodelitus_n before_o be_v perfect_a and_o then_o what_o need_v this_o alteration_n it_o be_v but_o the_o author_n particlar_a conceit_n without_o any_o necessity_n at_o all_o to_o give_v such_o satisfaction_n i_o answer_v that_o there_o be_v a_o necessity_n of_o alteration_n as_o well_o in_o the_o planisphere_n as_o in_o the_o demicircle_n touch_v the_o planisphere_n see_v how_o you_o be_v teach_v to_o attain_v to_o the_o minute_n of_o degr_n cut_v by_o the_o index_n by_o help_n of_o the_o isosceles_a triangle_n then_o be_v the_o quadrant_n project_v into_o a_o circle_n and_o what_o commodity_n have_v we_o thereby_o marry_o much_o more_o too_o i_o both_o for_o the_o needle_n who_o largeness_n be_v require_v and_o other_o circle_n needful_a and_o pleasant_a to_o be_v add_v hereunto_o as_o the_o mariner_n compass_n and_o other_o circle_n to_o tell_v the_o hour_n of_o the_o night_n by_o the_o moon_n and_o last_o touch_v the_o alteration_n of_o the_o planisphere_n look_v unto_o the_o 4_o index_n how_o requisite_a they_o be_v for_o the_o measure_n of_o ground_n and_o to_o what_o great_a purpose_n they_o stand_v you_o in_o as_o in_o the_o 33_o and_o 34_o chap._n touch_v the_o alteration_n of_o the_o demi-circle_n let_v every_o man_n acknowledge_v the_o necessity_n thereof_o for_o that_o you_o can_v not_o take_v any_o attitude_n of_o the_o sun_n or_o any_o other_o celestial_a body_n or_o object_n situate_v in_o the_o heaven_n or_o upon_o the_o earth_n if_o so_o the_o altitude_n thereof_o exceed_v 60_o degree_n for_o that_o you_o can_v look_v through_o the_o sight_n in_o the_o diameter_n of_o the_o semicircle_n by_o reason_n of_o the_o planisphere_n but_o in_o deed_n the_o same_o may_v be_v better_o deal_v with_o then_o any_o other_o thing_n whatsoever_o look_v also_o to_o she_o want_v of_o a_o plumbe_v to_o keep_v your_o instrument_n parallel_v and_o upright_o for_o which_o there_o be_v no_o convenient_a place_n in_o the_o theodelitus_n which_o this_o glass_n have_v sufficient_a though_o it_o be_v not_o needful_a by_o reason_n of_o the_o large_a cross_a needle_n which_o perform_v the_o same_o brief_o these_o impediment_n and_o defect_n well_o consider_v let_v any_o â—â—e_z of_o judgement_n speâ—â—_n iâ—_n there_o be_v not_o a_o necessity_n of_o reformation_n which_o 〈◊〉_d it_o be_v here_o do_v so_o i_o know_v it_o by_o practice_n and_o continual_a experience_n to_o be_v requisite_a to_o be_v do_v without_o offence_n be_v it_o speak_v to_o any_o friend_n of_o the_o composer_n of_o the_o theodellitus_n chap._n vii_o to_o search_v the_o proportion_n and_o symmitry_n of_o a_o country_n field_n or_o such_o like_a country_n to_o find_v the_o proportion_n of_o country_n in_o this_o he_o of_o worlbe_n we_o shall_v have_v no_o need_n of_o the_o needle_n or_o such_o like_a if_o you_o seek_v the_o proportion_n of_o a_o field_n or_o such_o like_a go_v into_o that_o part_n of_o it_o from_o which_o you_o may_v observe_v all_o the_o angle_n and_o it_o be_v convenient_a if_o white_a paper_n be_v fix_v in_o every_o angle_n and_o there_o plant_v your_o instrument_n begin_v at_o what_o angle_v you_o please_v place_v there_o for_o the_o index_n that_o bear_v the_o circular_a sight_n upon_o the_o o_o degree_n of_o the_o circle_n in_o the_o planisphere_n remain_v there_o erect_v the_o same_o by_o look_v through_o the_o sight_n unto_o the_o first_o angle_n than_o the_o instrument_n rest_v conucy_a the_o say_a index_n to_o the_o next_o angle_n upon_o your_o right_a hand_n and_o note_v down_o what_o degree_n the_o fiducial_a edge_n of_o your_o index_n do_v cut_v in_o your_o table_n book_n do_v so_o from_o angle_n to_o angle_v rightwards_o until_o you_o come_v unto_o the_o last_o and_o write_v they_o down_o in_o your_o table_n book_n in_o manner_n as_o follow_v the_o instrument_n rest_v unremoove_v convey_v your_o index_n towards_o your_o right_a hand_n at_o pleasure_n observe_v through_o that_o sight_n some_o mark_n a_o convenient_a distand_v from_o you_o according_a to_o the_o quantiy_n of_o the_o field_n and_o there_o must_v be_v your_o second_o place_n at_o this_o place_n plant_v your_o instrument_n by_o help_n of_o your_o back_n sight_n in_o such_o order_n that_o the_o line_n where_o the_o degree_n take_v beginning_n may_v point_v to_o your_o first_o station_n and_o here_o likewise_o you_o must_v begin_v at_o the_o angle_n which_o at_o the_o last_o station_n be_v your_o first_o angle_n and_o note_v the_o degree_n cut_v by_o the_o same_o index_n proceed_v from_o angle_n to_o angle_v rightwards_o until_o you_o come_v to_o the_o last_o still_o note_v
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 and_o the_o semidiameter_n thereof_o into_o 1000_o equal_a part_n and_o according_a unto_o the_o total_a sum_n be_v number_n place_v in_o the_o say_a table_n answer_v unto_o every_o degree_n and_o half_a degree_n and_o these_o number_n serve_v to_o express_v the_o length_n of_o every_o right_a sign_n or_o of_o every_o perpendicular_a let_v fall_v from_o the_o several_a degree_n and_o half_a degree_n in_o the_o limb_n upon_o the_o semidiameter_n tabula_fw-la sinuum_fw-la 1_o 52_o 6_o 309_o 11_o 544_o 16_o 743_o 21_o 891_o 26_o 978_o 78_o 333_o 566_o 760_o 902_o 983_o 2_o 104_o 7_o 358_o 12_o 588_o 17_o 777_o 22_o 913_o â—7_n 987_o 130_o 382_o 608_o 793_o 923_o 991_o 3_o 159_o 8_o 407_o 13_o â—29_n 18_o 809_o 23_o 933_o 28_o 994_o 182_o 430_o 649_o 824_o 942_o 996_o 4_o 208_o 9_o 454_o 1â—_n 669_o 19_o 838_o 24_o 954_o 29_o 998_o 233_o 477_o 688_o 852_o 958_o 999_o 5_o 259_o 10_o 500_o 15_o 707_o 20_o 866_o 25_o 966_o 30_o 1000_o 248_o 522_o 725_o 878_o 972_o  _fw-fr of_o the_o sight_n upon_o the_o plain_a of_o this_o square_a piece_n of_o wood_n near_o unto_o either_o end_n thereof_o be_v place_v two_o sight_n and_o the_o one_o of_o they_o be_v but_o half_a the_o length_n of_o the_o other_o stand_v perpendicular_a of_o the_o short_a sight_n the_o short_a of_o the_o two_o sight_n bear_v no_o division_n at_o all_o sight_n the_o short_a sight_n in_o the_o top_n whereof_o be_v place_v a_o pin_n head_n and_o upon_o the_o side_n be_v set_v a_o piece_n of_o small_a wire_n end_n in_o the_o midst_n be_v hang_v a_o plumbe_v the_o distance_n from_o the_o wire_n in_o this_o sight_n to_o the_o plain_a be_v take_v and_o divide_v into_o 60._o equal_a part_n according_a unto_o which_o division_n be_v the_o right_a edge_n divide_v begin_v from_o the_o perpendicular_a point_n under_o the_o wire_n number_v by_o 10._o as_o 5.10.15_o etc._n etc._n the_o short_a sight_n and_o the_o wire_n therein_o represent_v the_o semidiameter_n of_o a_o quadrant_a and_o the_o wire_n the_o centre_n thereof_o now_o from_o the_o perpendicular_a point_n be_v the_o degree_n of_o a_o quadrant_a perfect_v upon_o the_o upper_a side_n of_o the_o right_a edge_n number_v from_o 90._o to_o 25._o by_o 10._o of_o the_o long_a sight_n this_o sight_n be_v twice_o so_o long_o as_o the_o other_o sight_n the_o long_a sight_n whereupon_o be_v place_v three_o kind_n of_o division_n 1_o first_o the_o distance_n from_o the_o pin_n head_n in_o the_o short_a sight_n unto_o the_o plain_a of_o the_o instrument_n be_v take_v and_o according_a unto_o that_o distance_n be_v a_o line_n stroke_n overthwarte_o this_o sight_n which_o must_v be_v call_v the_o line_n of_o level_n the_o distance_n from_o which_o unto_o the_o pin_n head_n be_v take_v and_o divide_v into_o 100_o equal_a part_n the_o distance_n betwixt_o the_o pin_n head_n and_o the_o line_n of_o level_n be_v equal_a in_o length_n therefore_o divide_v the_o long_a sight_n into_o 100_o equal_a part_n according_a unto_o which_o place_n they_o in_o the_o say_v long_o fight_v to_o 50_o upward_o and_o downward_o number_v they_o by_o 10_o as_o 5_o 10_o 15_o etc._n etc._n division_n hypothenusall_a division_n the_o second_o division_n be_v the_o graduation_n of_o the_o hypothenusall_n line_n according_a as_o they_o increase_v by_o unit_n they_o be_v number_v by_o unit_n as_o 1_o 2_o 3_o 4_o etc._n etc._n to_o 12_o which_o represent_v 100_o 102_o 103_o 104_o etc._n etc._n and_o these_o division_n be_v set_v from_o the_o line_n of_o level_n upward_o and_o downward_o take_v the_o square_a of_o 100_o from_o 102_o etc._n etc._n from_o 102_o 103_o etc._n etc._n quadrant_n degree_n of_o a_o quadrant_n the_o three_o sort_n of_o division_n be_v the_o degree_n of_o a_o quadrant_a project_v upon_o the_o say_a long_a sight_n from_o the_o line_n of_o level_n upward_o and_o downward_o to_o 25._o of_o the_o slit_n in_o the_o sight_n sight_n slit_v in_o the_o sight_n in_o the_o midst_n of_o this_o sight_n there_o be_v a_o slit_v make_v from_o the_o 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fortify_v a_o camp_n that_o c._n martius_n who_o have_v be_v seven_o time_n consul_n of_o rome_n right_a skilful_o that_o when_o sylla_n surname_v foelix_n see_v it_o say_v that_o the_o rest_n in_o comparison_n of_o he_o be_v blind_a béetle_n know_v neither_o how_o to_o build_v or_o encamp_v when_o therefore_o you_o mind_n to_o build_v a_o house_n with_o your_o scale_n and_o compass_n lie_v down_o the_o ground_n plat_v according_a unto_o your_o proportion_n order_v your_o cellarage_n larder_n and_o all_o house_n of_o office_n in_o as_o necessary_a form_n as_o to_o you_o shall_v seem_v most_o convenient_a appoint_v place_n for_o great_a stair_n private_a stair_n house_n of_o office_n chimney_n etc._n etc._n that_o shall_v be_v most_o requisite_a for_o use_v and_o least_o annoy_v or_o deface_v the_o house_n or_o any_o of_o the_o principal_a light_n chamber_n or_o room_n then_o according_a to_o your_o ground_n plat_n draw_v the_o forefront_n or_o face_n side_n backside_n end_n and_o 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the_o set_n upon_o the_o west_n side_n and_o the_o rise_n upon_o the_o east_n side_n of_o the_o card._n so_o shall_v you_o find_v the_o 11_o day_n of_o may_n the_o sun_n to_o rise_v near_o 4_o and_o set_v near_o 8_o then_o if_o you_o will_v know_v the_o length_n of_o the_o day_n and_o night_n you_o may_v repair_v unto_o the_o second_o book_n chap._n 10._o of_o the_o geodeticall_a staff_n chap._n lxvii_o to_o find_v the_o amplitude_n of_o the_o rise_n of_o the_o sun_n and_o star_n star_n to_o find_v the_o amplitude_n of_o the_o sun_n or_o star_n it_o be_v not_o unknown_a to_o any_o man_n though_o mean_o travel_v in_o astronomy_n that_o every_o horizon_n have_v four_o principal_a point_n viz._n east_n west_n north_n and_o south_n than_o you_o must_v understand_v that_o there_o be_v no_o star_n nor_o the_o sun_n that_o rise_v just_a east_n or_o set_v just_a west_n unless_o they_o be_v in_o the_o equinoctial_a which_o happen_v unto_o the_o sun_n but_o twice_o in_o the_o whole_a year_n 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