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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
chap._n v._o to_o find_v the_o true_a square_n of_o a_o square_a piece_n of_o timber_n consist_v of_o two_o unequal_a side_n and_o 4_o right_a angle_n the_o one_o side_n be_v only_o know_v you_o must_v take_v the_o length_n of_o the_o broad_a of_o the_o two_o side_n the_o which_o fit_v over_o in_o 60_o and_o 60_o among_o the_o cord_n division_n the_o leg_n of_o the_o staff_n so_o rest_v the_o distance_n take_v from_o 36_o to_o 36_o yield_v the_o true_a square_n of_o a_o piece_n of_o timber_n that_o be_v of_o equal_a longitude_n be_v also_o of_o equal_a quantity_n but_o if_o both_o the_o side_n c_o d_o and_o d_o b_o be_v know_v then_o work_v by_o the_o next_o chapter_n for_o this_o take_v no_o notice_n of_o the_o thickness_n chap._n vi_o to_o find_v the_o square_n of_o any_o broad_a or_o flat_a piece_n of_o timber_n that_o consist_v of_o 4_o right_a angle_n and_o two_o equal_a side_n such_o a_o piece_n of_o timber_n as_o this_o the_o end_n thereof_o do_v represent_v the_o just_a form_n of_o a_o oblong_a and_o be_v thus_o square_v take_v the_o long_o and_o short_a side_n and_o join_v they_o together_o in_o one_o right_a line_n the_o which_o right_a line_n make_v of_o the_o length_n of_o both_o these_o line_n so_o join_v make_v the_o diameter_n of_o a_o circle_n last_o upon_o the_o point_n where_o the_o two_o line_n be_v join_v raise_v a_o perpendicular_a forth_o length_n of_o that_o perpendicular_a to_o the_o circumference_n be_v the_o true_a side_n of_o the_o square_n example_n a_o b_o c_o d_o be_v the_o end_n of_o a_o piece_n of_o timber_n c_o d_o the_o long_a side_n d_o b_o the_o short_a therefore_o i_o take_v the_o length_n of_o c_o d_o and_o d_o b_o and_o joint_n they_o together_o in_o five_o make_v one_o right_a line_n thereof_o as_o r_o s_o next_o i_o part_v r_o s_z into_o two_o equal_a part_n at_o with_o then_o place_v the_o one_o foot_n of_o my_o compass_n in_o with_o extend_v the_o other_o to_o s_o or_o r_o t_o describe_v the_o semicircle_n r_o t_o s_o last_o upon_o five_o where_o the_o two_o line_n be_v join_v together_o raise_v a_o perpendicular_a five_o t_o which_o be_v equal_a unto_o p_o q_o i_o conclude_v the_o square_n make_v of_o the_o line_n t_o shall_fw-mi be_v equal_a to_o c_o d_o b_o a_o and_o thus_o of_o any_o such_o other_o or_o get_v the_o square_a thus_o multiply_v the_o breadth_n in_o the_o thickness_n so_o be_v the_o square_a root_n of_o the_o product_v the_o true_a square_n which_o you_o may_v easy_o find_v in_o the_o geodeticall_a staff_n fol._n 142._o chap._n vii_o to_o find_v the_o true_a square_n of_o any_o piece_n of_o timber_n who_o end_n be_v form_v like_o a_o diamond_n the_o end_n of_o such_o a_o piece_n of_o timber_n as_o this_o do_v represent_v the_o just_a form_n of_o a_o rombus_n &_o therefore_o do_v consist_v of_o equal_a side_n and_o oblique_a angle_n the_o square_a whereof_o find_v thus_o draw_v a_o right_a line_n betwixt_o any_o of_o the_o two_o opposite_a angle_n note_v the_o length_n of_o that_o line_n upon_o which_o line_n let_v fall_v a_o plumb_n line_n from_o one_o of_o the_o subtended_a angle_n so_o have_v those_o two_o line_n find_v the_o square_n as_o in_o the_o last_o chapter_n example_n or_o the_o length_n of_o the_o perpendicular_a b_o m_z be_v the_o square_n fall_v upon_o b_o c_o at_o right_a angle_n chap._n viii_o to_o find_v the_o square_n of_o any_o piece_n of_o timber_n consist_v of_o three_o side_n the_o true_a square_n of_o all_o kind_n of_o triangle_n whatsoever_o be_v find_v out_o by_o the_o 44_o chap._n metamorphosis_n 7._o of_o the_o 6._o book_n of_o the_o geodeticall_a staff_n and_o therefore_o it_o be_v vain_a to_o repeat_v it_o here_o again_o as_o if_o you_o join_v the_o perpendicular_a b_o d_o and_o half_o the_o base_a a_o c_o in_o one_o right_a line_n according_a to_o the_o 6_o chap._n you_o shall_v find_v the_o square_n of_o the_o triangle_n a_o b_o c_o to_o be_z h_z i._n chap._n ix_o to_o find_v the_o square_n of_o any_o piece_n of_o timber_n contain_v 5_o 6_o 7_o or_o 8_o side_n etc._n etc._n you_o must_v imagine_v in_o this_o chapter_n as_o also_o in_o all_o the_o other_o save_v for_o round_a timber_n that_o i_o go_v not_o about_o to_o tell_v you_o how_o much_o square_n that_o piece_n of_o timber_n will_v bear_v if_o it_o be_v reduce_v into_o a_o 4_o square_a but_o i_o do_v deliver_v you_o the_o side_n of_o a_o piece_n of_o timber_n be_v just_a four_o square_a and_o of_o equal_a height_n with_o the_o piece_n propose_v shall_v also_o be_v of_o equal_a quantity_n which_o be_v right_a necessary_a for_o the_o attain_n of_o the_o number_n of_o square_a foot_n or_o solid_a content_n of_o any_o piece_n of_o timber_n thus_o be_v you_o teach_v to_o find_v the_o square_n of_o any_o piece_n of_o timber_n of_o what_o fashion_n soever_o and_o if_o it_o bear_v none_o of_o these_o regular_a form_n or_o that_o there_o be_v wood_n want_v take_v from_o one_o place_n add_v the_o same_o unto_o another_o thereby_o make_v it_o perfect_a regular_a and_o in_o such_o case_n you_o must_v always_o so_o do_v chap._n x._o the_o square_a of_o any_o piece_n of_o timber_n be_v find_v to_o tell_v how_o much_o of_o the_o same_o in_o length_n will_v make_v a_o square_a foot_n of_o timber_n and_o consequent_o how_o many_o foot_n be_v in_o the_o whole_a piece_n a_o solid_a or_o cubicall_a foot_n of_o timber_n do_v contain_v 1728_o cubicall_a inch_n for_o so_o many_o four_o square_a inch_n may_v be_v take_v out_o of_o one_o cubicall_a foot_n i_o mean_v such_o inch_n that_o be_v square_v every_o way_n like_o unto_o a_o dye_n now_o have_v the_o square_a of_o any_o piece_n of_o timber_n give_v square_v the_o same_o divide_v 1728_o by_o the_o product_n so_o do_v the_o quotient_a show_n you_o how_o much_o of_o the_o length_n of_o the_o timber_n must_v be_v take_v to_o make_v a_o square_a foot_n by_o the_o which_o divide_v the_o whole_a length_n or_o altitude_n of_o the_o timber_n so_o do_v the_o quotient_a acquaint_v you_o how_o many_o foot_n of_o timber_n be_v in_o the_o piece_n example_n the_o square_a of_o the_o tree_n a_o b_o be_v find_v by_o the_o three_o chapter_n to_o be_v 27_o inch_n who_o square_a be_v 719_o by_o which_o divide_v 1728_o so_o have_v you_o 2_o 2_o 7_o 9_o 2_o 0_o 8_o inch_n which_o be_v 2_o ⅜_n inch_n or_o two_o inch_n a_o quarter_n &_o half_o a_o quarter_n whereby_o i_o conclude_v that_o as_o often_o as_o i_o can_v find_v 2_o ⅜_n inch_n in_o the_o length_n or_o height_n of_o the_o tree_n or_o timber_n so_o many_o square_a foot_n of_o timber_n be_v in_o the_o same_o the_o tree_n a_o b_o be_v 8_o foot_n high_a which_o divide_v by_o 2_o ⅜_n inch_n or_o lay_v somuch_o of_o your_o rule_n out_o measure_v one_o from_o a_o towards_o b_o calling_z every_o 2_o ⅜_n inch_n a_o foot_n so_o by_o either_o of_o the_o way_n shall_v you_o find_v 40_o foot_n of_o timber_n in_o the_o say_a tree_n be_v square_v some_o small_a quantity_n be_v over_o more_o than_o the_o same_o in_o the_o like_a manner_n must_v you_o deal_v with_o all_o other_o piece_n of_o timber_n of_o what_o fashion_n soever_o first_o find_v their_o square_n as_o before_o &_o next_o the_o solid_a capacity_n even_o as_o you_o be_v teach_v in_o this_o chapter_n by_o this_o chapter_n may_v you_o measure_v out_o as_o many_o foot_n of_o timber_n stone_n or_o such_o like_a as_o you_o please_v &_o thereby_o cut_v off_o any_o number_n of_o foot_n from_o any_o piece_n of_o timber_n as_o you_o shall_v be_v occasion_v chap._n xi_o to_o measure_v all_o kind_n of_o timber_n etc._n etc._n after_o another_o sort_n without_o regard_n of_o the_o square_n this_o kind_n of_o measure_n take_v no_o regard_n to_o the_o square_a foot_n in_o the_o timber_n but_o unto_o the_o solid_a capacity_n thereof_o but_o for_o that_o it_o be_v not_o much_o pertinent_a to_o the_o geodeticall_a staff_n require_v rather_o numeral_a then_o instrumental_a operation_n i_o will_v be_v the_o more_o brief_a when_o you_o have_v any_o piece_n of_o timber_n stone_n pillar_n or_o such_o like_a who_o solid_a content_n be_v require_v by_o the_o rule_v teach_v in_o the_o sixth_o book_n part_v 2_o of_o my_o geodeticall_a staff_n seek_v the_o superficial_a content_n of_o the_o end_n of_o the_o timber_n the_o which_o augment_v in_o the_o altitude_n or_o length_n of_o the_o same_o so_o be_v the_o product_n your_o desire_n example_n the_o like_a must_v you_o do_v with_o any_o other_o piece_n of_o timber_n of_o what_o fashion_n soever_o but_o if_o the_o timber_n trapeze_v much_o use_v the_o midst_n or_o difference_n of_o the_o end_n as_o in_o the_o 4_o chapter_n
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 intersection_n of_o matchy_a line_n upon_o the_o paper_n which_o after_o measure_n by_o your_o scale_n and_o compass_n so_o shall_v you_o have_v your_o stationary_a line_n g_o h_o 10_o score_n the_o distance_n f_o e_o 12_o score_n etc._n etc._n whereby_o you_o may_v plat_n any_o field_n and_o come_v not_o within_o the_o same_o as_o in_o the_o 8_o chapter_n chap._n l._n to_o find_v the_o horizontall_a distance_n of_o any_o place_n from_o you_o stand_v by_o a_o new_a way_n upon_o the_o plaine-table_n way_n to_o find_v any_o horizontall_a distance_n after_o a_o new_a way_n in_o the_o 44_o chap._n at_o twice_o i_o tell_v you_o of_o 4_o certain_a ruler_n or_o rib_n that_o be_v belong_v unto_o the_o plaine-table_n every_o one_o be_v divide_v into_o a_o 100_o equal_a part_n or_o more_o by_o these_o ruler_n order_v in_o their_o due_a place_n upon_o the_o plaine-table_n shall_v i_o teach_v you_o to_o seek_v the_o horozintall_n distance_n of_o any_o place_n thus_o lay_v the_o ruler_n with_o 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 until_o through_o the_o sight_n you_o espy_v the_o mark_n who_o distance_n be_v require_v last_o note_v the_o equal_a part_n upon_o the_o rib_n cut_v by_o each_o end_n of_o the_o ruler_n or_o sight_n have_v regard_n to_o those_o part_n that_o do_v respond_v to_o the_o statinary_a line_n and_o also_o to_o the_o distance_n require_v for_o as_o the_o part_n respondent_fw-la to_o the_o stationary_a line_n be_v to_o the_o line_n itself_o be_v measure_v and_o know_v so_o be_v the_o part_n respondent_fw-la to_o the_o distance_n unto_o the_o distance_n require_v therefore_o work_v by_o the_o golden_a rule_n in_o this_o work_n the_o line_n of_o distance_n and_o stationary_a line_n alwiaes_fw-la cut_v at_o right_a angle_n this_o need_v no_o example_n for_o as_o it_o be_v most_o exact_a so_o it_o be_v most_o plain_a &_o easy_a the_o premise_n be_v consider_v and_o the_o doctrine_n before_o well_o understand_v you_o may_v produce_v infinite_a wate_n to_o perform_v many_o rare_a conclusion_n but_o we_o can_v stand_v to_o set_v down_o a_o demonstration_n to_o suit_n to_o every_o proposition_n that_o may_v happen_v in_o the_o field_n chief_o for_o that_o let_v the_o demand_n stand_v howit_n will_v you_o may_v resolve_v the_o same_o by_o due_a regard_v the_o prescript_n now_o i_o will_v brief_o touch_v the_o order_n of_o take_v a_o plat_n of_o a_o field_n manor_n etc._n etc._n by_o the_o plain_a table_n according_a as_o we_o have_v deal_v with_o the_o geodeticall_a staff_n and_o other_o instrument_n before_o aim_v to_o perform_v some_o such_o proposition_n here_o that_o be_v omit_v in_o the_o other_o book_n for_o it_o will_v increase_v the_o volume_n over_o much_o to_o set_v down_o every_o kind_n in_o the_o use_n of_o every_o instrument_n since_o we_o understanding_n what_o be_v say_v of_o the_o one_o may_v also_o be_v perform_v in_o the_o other_o and_o that_o much_o after_o one_o kind_n of_o method_n as_o i_o have_v say_v before_o but_o indeed_o i_o have_v here_o set_v down_o such_o proposition_n that_o will_v best_o agree_v with_o the_o plain_a table_n and_o be_v apt_a to_o be_v wrought_v thereon_o set_v aside_o all_o impertinent_a demonstration_n and_o you_o shall_v note_v for_o diverse_a good_a respect_n that_o i_o shall_v omit_v one_o thing_n that_o stand_v firm_a and_o be_v ordinary_o use_v in_o demonstration_n of_o this_o nature_n &_o that_o be_v line_n to_o represent_v the_o instrument_n &_o the_o line_n also_o draw_v thereupon_o my_o reason_n be_v because_o i_o will_v not_o confound_v the_o work_n with_o multitude_n of_o line_n as_o also_o to_o save_v the_o cut_n of_o many_o figure_n whereby_o such_o that_o serve_v in_o the_o glass_n likewise_o serve_v in_o the_o plain_a table_n chap._n li._n 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 from_o that_o place_n of_o stand_v plat_n at_o one_o station_n to_o get_v a_o plat_n first_o go_v round_o about_o the_o 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this_o box_n must_v be_v place_v a_o needle_n and_o a_o glass_n as_o the_o order_n be_v and_o the_o card_n in_o the_o bottom_n which_o i_o describe_v before_o 120_o stand_v in_o the_o south_n 60_o in_o the_o north_n 90_o in_o the_o east_n and_o 30_o in_o the_o west_n about_o this_o box_n must_v move_v the_o circle_n that_o bear_v 4_o index_n with_o the_o sight_n the_o which_o box_n must_v be_v turn_v with_o certain_a shouldering_n to_o come_v half_o a_o quarter_n of_o a_o inch_n upon_o the_o say_a circle_n to_o the_o end_n that_o it_o may_v keep_v the_o same_o down_o close_o to_o the_o body_n of_o the_o instrument_n and_o that_o he_o may_v move_v steadfast_o about_o this_o box_n be_v to_o be_v fasten_v through_o the_o back_n side_n of_o the_o body_n of_o the_o instrument_n with_o screw_a pin_n so_o may_v he_o be_v take_v off_o at_o pleasure_n the_o two_o screw_v pin_n that_o screw_v on_o the_o socket_n upon_o the_o back_n side_n may_v also_o screw_v this_o box_n by_o fasten_v a_o rib_n 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 _fw-fr montgomery_n 52_o ½_n  _fw-fr shrewsbury_n 81_o  _fw-fr knookin_n castle_n 92_o  _fw-fr morton_n corbet_n 136_o stationary_a angle_n be_v 213_o ½_n whit_n church_n 147_o ½_n  _fw-fr bridg-north_n 319_o  _fw-fr beawdley_n c._n wigor_n 319_o  _fw-fr tenbury_n 344_o  _fw-fr browne-clee_a hill_n 349_o  _fw-fr hopton_n 354_o with_o these_o table_n repair_v unto_o some_o such_o place_n whereon_o you_o will_v protract_v the_o work_n draw_v therein_o a_o circle_n upon_o the_o centre_n or_o point_n f_o as_o you_o see_v in_o the_o figure_n which_o you_o must_v divide_v into_o 360_o degree_n or_o else_o by_o a_o protractor_n from_o f_o pull_v out_o right_a line_n by_o every_o grave_n note_v in_o the_o first_o table_n so_o be_v f_o p_o hopton_n castle_n f_z e_z montgomery_z f_z d_o knookin_n castle_n and_o so_o forth_o with_o the_o rest_n end_v at_o f_o m_o ludlow_n last_o in_o this_o circle_n i_o draw_v the_o line_n f_o g_o by_o 213_o ½_n degree_n then_o make_v g_o a_o centre_n i_o 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browne-clee_a hill_n  _fw-fr 11½_n tenbury_n ak_n  _fw-fr 20¾_n hopton_n all_o  _fw-fr 15¾_n ludlow_n be_o  _fw-fr 28½_n  _fw-fr  _fw-fr mile_n hopton_n cast_v ap_n distant_a from_o shrewsbury_n 15_o montgomery_n ae_n  _fw-fr 12_o knookin_n ad_fw-la  _fw-fr 8_o whit_n church_n ac_fw-la  _fw-fr 12½t_fw-la mort._n corbet_n ab_fw-la  _fw-fr 6_o orleton_n bish_n c._n  _fw-fr 10¾_n in_o the_o order_n before_o set_v down_o change_v your_o station_n as_o have_v finish_v all_o in_o view_n from_o the_o cordocke_n and_o wrekin_n you_o may_v go_v to_o the_o brown_a clee_n and_o stilterstone_n hill_n or_o any_o other_o and_o pass_v from_o one_o lofty_a place_n to_o another_o you_o may_v have_v the_o true_a proportion_n of_o all_o town_n castle_n rivers_n hill_n and_o such_o like_a in_o the_o whole_a kingdom_n and_o to_o reduce_v they_o all_o into_o the_o body_n of_o one_o card_n or_o map_n you_o must_v seek_v a_o scale_n proportionable_a to_o the_o quantity_n of_o the_o paper_n you_o will_v draw_v the_o map_n in_o which_o here_o for_o that_o i_o fear_v i_o have_v be_v over-tedious_a i_o will_v omit_v and_o for_o that_o it_o shall_v be_v teach_v in_o the_o flower_n of_o the_o mathem_n in_o my_o 2_o part_n of_o geodetia_n not_o yet_o publish_v and_o elsewhere_o be_v perform_v chap._n xii_o to_o draw_v the_o plat_n of_o any_o region_n and_o thereby_o to_o find_v the_o distance_n of_o town_n and_o such_o like_a by_o cynical_a supputation_n this_o kind_n of_o work_n supputation_n to_o seek_v the_o proportion_n of_o country_n by_o cynical_a supputation_n although_o it_o be_v something_o more_o tedious_a and_o difficult_a than_o the_o former_a yet_o have_v it_o in_o itself_o a_o most_o exact_a and_o certain_a operation_n you_o must_v in_o performance_n hereof_o ascend_v the_o top_n of_o some_o high_a mountain_n hill_n or_o such_o like_a whence_o you_o may_v direct_o behold_v all_o the_o adjacent_a town_n within_o the_o circuit_n of_o that_o horizon_n and_o also_o from_o that_o hill_n 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 _fw-fr shrewsbury_n gba_n 64_o 0_o  _fw-fr oswestree_n fba_n 74_o 0_o now_o must_v i_o get_v the_o distance_n betwixt_o the_o hill_n of_o stretton_n and_o the_o wrekin_n which_o you_o shall_v find_v to_o be_v ten_o mile_n all_o these_o thing_n have_v i_o get_v the_o distance_n of_o every_o town_n and_o place_v the_o same_o according_o in_o the_o map_n thus_o salopia_n sinical_o to_o seek_v the_o distance_n of_o town_n sinical_o suppose_v we_o will_v find_v how_o far_o shrewsbury_n and_o each_o o_o other_o town_n be_v distant_a from_o the_o wrekin_fw-mi or_o from_o stretton_n hill_n by_o the_o former_a observation_n the_o angle_n g_o a_fw-fr b_o be_v 46_o degree_n &_o g_o b_o a_o 60_o degree_n therefore_o by_o the_o 2_o book_n chap._n 15_o of_o the_o geodeticall_a staff_n add_v 46_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 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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 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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
come_v unto_o the_o 26_o day_n i_o end_v with_o the_o number_n of_o 12_o whereby_o i_o conclude_v the_o sun_n be_v in_o the_o 12_o degree_n of_o scorpio_n so_o of_o any_o other_o here_o the_o loss_n of_o a_o day_n do_v nothing_o hinder_a chap._n xlii_o to_o find_v the_o hour_n of_o the_o night_n by_o the_o tpographicall_a glass_n and_o to_o know_v the_o time_n of_o high_a water_n and_o also_o the_o place_n of_o the_o sun_n or_o moon_n see_v in_o any_o ordinary_a sun_n dial_n what_o of_o the_o clock_n the_o shadow_n of_o the_o moon_n yield_v then_o turn_v the_o index_n that_o be_v mark_v with_o f_o unto_o the_o say_a hour_n in_o the_o planispheare_n which_o so_o rest_v seek_v the_o age_n of_o the_o moon_n in_o the_o circle_n whereto_o the_o index_n be_v fix_v for_o the_o hour_n line_n in_o the_o innermost_a circle_n in_o the_o planispheare_n pass_v by_o the_o say_a age_n of_o the_o moon_n be_v the_o true_a hour_n of_o the_o night_n so_o likewise_o do_v the_o hour_n line_n and_o the_o foresay_a index_n show_v upon_o what_o point_n of_o the_o compass_n the_o sun_n and_o moon_n then_o be_v and_o the_o number_n of_o point_n include_v betwixt_o the_o say_a hour_n line_n and_o index_n acquaint_v you_o with_o the_o distance_n of_o the_o sun_n and_o moon_n which_o the_o circle_n in_o the_o peripher_n express_v in_o degree_n and_o minute_n which_o be_v more_o than_o be_v propose_v to_o know_v the_o tide_n or_o high_a water_n by_o the_o topographicall_a glass_n seek_v as_o hereafter_o what_o rombe_n or_o wind_n make_v a_o full_a sea_n at_o the_o propose_a place_n and_o then_o learn_v the_o age_n of_o the_o moon_n these_o two_o thing_n have_v put_v the_o index_n where_o 29_o ½_n stand_v upon_o the_o say_a rombe_n or_o wind_n find_v which_o rest_v seek_v the_o age_n o_o the_o moon_n in_o the_o mooveable_a circle_n for_o the_o hour_n in_o the_o inward_a circle_n of_o the_o planispheare_n answer_v thereunto_o acquaint_v you_o with_o the_o hour_n of_o the_o full_a sea_n in_o the_o propose_a place_n and_o for_o your_o practice_n and_o ease_n behold_v the_o table_n of_o tide_n ensue_v the_o moon_n south_n or_o north_n make_v a_o full_a sea_n at_o land_n end_v south_n and_o by_o east_n at_o the_o gore_n end_n south_n south_n west_n between_o holy_a island_n and_o tynemouth_n south_n west_n and_o north_n west_n between_o tynemouth_n and_o flambrough_n head_n south_n west_n and_o by_o west_n between_o flamb_n and_o bridlington_n in_o the_o bay_n west_n south_n west_n between_o bridligton_n and_o laurenas_n east_n &_o west_n between_o laur._n and_o cromer_n south_n east_n between_o cromer_n and_o yarmouth_n ride_v to_o laystow_n north_n ride_v south_n east_n and_o by_o south_n between_o lie_v ride_v and_o orfordenas_n south_n south_n east_n between_o orf._n &_o orewell_n wood_n south_n &_o by_o east_n between_o naase_n &_o the_o ware_n head_n of_o colnes_n south_n south_n west_n at_o gravesend_n south_n west_n at_o lon._n bridge_n south_n and_o by_o east_n at_o portsmouth_n east_n and_o west_n at_o waymouth_n west_n and_o by_o south_n along_o the_o coast_n up_o to_o bristol_n and_o the_o coast_n of_o ireland_n from_o waterford_n to_o kynsale_n if_o you_o desire_v more_o you_o may_v have_v it_o of_o any_o skilful_a mariner_n or_o in_o the_o table_n of_o the_o regiment_n of_o the_o sea_n one_o thing_n note_n that_o it_o flow_v soon_o by_o one_o point_n of_o the_o compass_n in_o the_o spring_n tide_n than_o it_o do_v in_o any_o of_o the_o quarter_n of_o the_o moon_n especial_o if_o the_o river_n have_v any_o indrafte_n and_o distance_n from_o the_o sea_n a_o note_n of_o addition_n to_o the_o planispheare_n in_o the_o glass_n to_o the_o planispheare_n in_o this_o topographicall_a glass_n you_o may_v also_o add_v the_o celestial_a zodiac_n and_o another_o circle_n of_o the_o day_n of_o the_o month_n inclusive_o the_o same_o or_o such_o like_a that_o be_v place_v upon_o the_o horizon_n in_o sandersons_n globe_n by_o which_o you_o may_v gather_v the_o sign_n and_o near_o the_o degr_n that_o the_o sun_n and_o moon_n be_v in_o and_o if_o you_o do_v but_o note_v the_o aspect_n in_o the_o rundle_n of_o the_o moon_n age_n in_o their_o proper_a place_n you_o may_v thereby_o find_v what_o aspect_n the_o sun_n and_o moon_n have_v one_o to_o the_o other_o at_o any_o time_n or_o thus_o you_o may_v find_v what_o sign_n the_o moon_n be_v in_o place_z the_o index_n mark_v with_o f_o upon_o a_o in_o the_o planispheare_n where_o the_o degree_n do_v take_v beginning_n then_o count_v the_o age_n of_o the_o moon_n in_o her_o proper_a circle_n under_o which_o in_o the_o planispheare_n make_v a_o mark_n to_o which_o mark_n turn_v the_o foresay_a index_n f_o note_v the_o degree_n cut_v in_o the_o circumference_n for_o that_o be_v the_o distance_n of_o the_o sun_n and_o moon_n which_o part_v by_o 30_o the_o quotient_n yield_v the_o number_n of_o sign_n and_o the_o remainder_n the_o degree_n so_o that_o know_v the_o place_n of_o the_o sun_n by_o any_o ordinary_a almanac_n hereby_o have_v you_o also_o the_o place_n of_o the_o moon_n by_o add_v the_o distance_n of_o the_o sun_n &_o moon_n unto_o the_o place_n of_o the_o sun_n in_o the_o almanac_n as_o in_o march_n after_o the_o 10_o day_n the_o sign_n be_v in_o aries_n and_o by_o the_o rule_n before_o i_o find_v she_o distant_a from_o the_o sun_n 60_o degree_n or_o 2_o sign_n therefore_o the_o moon_n must_v be_v in_o taurus_n the_o deg_fw-la be_v know_v by_o the_o deg_fw-la that_o the_o sun_n be_v in_o and_o by_o the_o deg_fw-la cut_v by_o the_o index_n as_o before_o final_o if_o in_o this_o utter_a circle_n you_o character_n the_o aspect_n than_o also_o may_v you_o find_v the_o aspect_n betwixt_o the_o sun_n and_o moon_n many_o thing_n astronomical_a may_v i_o open_v in_o the_o use_n of_o this_o glass_n which_o for_o brevity_n sake_n i_o be_o force_v to_o omit_v at_o this_o time_n i_o will_v conclude_v the_o use_n of_o the_o topographicall_a glass_n hope_v i_o have_v say_v sufficient_a to_o open_v the_o whole_a use_n thereof_o which_o contain_v matter_n sit_v for_o a_o great_a volume_n the_o description_n and_o use_n of_o the_o plain_a table_n contain_v all_o such_o proposition_n as_o be_v most_o fit_a and_o familiar_a to_o be_v wrought_v thereon_o set_v aside_o other_o as_o pertinent_a to_o curious_a demonstration_n rather_o than_o apt_a to_o produce_v exactness_n and_o truth_n chap._n xliii_o to_o use_v the_o topographicall_a glass_n as_o the_o plain_a table_n table_n to_o alter_v the_o topographicall_a glass_n to_o a_o plain_a table_n you_o must_v take_v the_o circular_a sight_n box_n needle_n and_o all_o thing_n of_o the_o foreside_n the_o planisphere_n of_o the_o glass_n and_o so_o set_v the_o socket_n that_o be_v upon_o the_o backside_n upon_o the_o foreside_n the_o instrument_n so_o do_v the_o backside_n be_v a_o four_o square_a plain_a board_n stand_v upward_o next_o must_v you_o cover_v this_o smooth_a board_n with_o a_o sheet_n of_o white_a paper_n which_o fasten_v thereunto_o with_o mouth_n glue_v or_o you_o may_v have_v fold_v ruler_n as_o the_o plain_a table_n itself_o to_o perform_v the_o same_o last_o have_v a_o ruler_n with_o sight_n as_o in_o the_o next_o chapter_n to_o stand_v upon_o this_o plain_a superficies_n and_o to_o the_o one_o side_n of_o the_o board_n in_o the_o thickness_n thereof_o with_o screw_a pin_n fix_v the_o needle_n and_o box_n in_o such_o order_n that_o the_o south_n line_n i_o mean_v not_o the_o line_n of_o variation_n make_v right_a angle_n with_o the_o side_n of_o the_o say_a board_n so_o have_v you_o finish_v chap._n xliiii_o of_o the_o plain_a table_n with_o a_o description_n thereof_o and_o the_o part_n thereunto_o belong_v table_n the_o plain_a table_n the_o plain_a table_n or_o geometrical_a table_n be_v a_o right_a angle_a aequilater_n paralelogram_n make_v of_o a_o board_n of_o half_a a_o inch_n in_o thickness_n who_o equal_a side_n contain_v 9_o or_o 12_o inch_n the_o superficies_n whereof_o be_v make_v smooth_a and_o plain_a some_o use_n to_o make_v he_o represent_v a_o oblong_a all_o be_v one_o some_o for_o ease_n in_o carriage_n use_v to_o make_v this_o square_a board_n to_o consist_v of_o three_o piece_n which_o they_o use_v to_o join_v together_o with_o certain_a ledge_n such_o as_o be_v at_o the_o end_n of_o table_n board_n as_o you_o may_v gather_v by_o the_o figure_n the_o edge_n of_o this_o table_n round_o about_o be_v abate_v with_o certain_a square_a channel_n to_o the_o thickness_n of_o half_a the_o board_n according_a as_o you_o may_v gather_v by_o the_o shadow_a line_n about_o the_o table_n table_n the_o rib_n or_o for_o ruler_n of_o the_o plain_a table_n 2_o the_o piece_n of_o this_o table_n be_v set_v
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 your_o table_n to_o your_o second_o station_n where_o plant_v it_o in_o his_o due_a situation_n and_o then_o from_o the_o centre_n of_o that_o situation_n draw_v line_n again_o to_o each_o angle_n whereunto_o you_o draw_v line_n at_o the_o first_o and_o note_v the_o interception_n each_o with_o his_o match_n line_n and_o then_o draw_v line_n from_o point_n to_o point_n which_o shall_v represent_v somuch_o of_o the_o hedge_n of_o the_o field_n as_o you_o have_v get_v by_o these_o two_o station_n now_o your_o instrument_n stand_v thus_o at_o your_o second_o station_n untemove_v from_o the_o centre_n of_o your_o second_o station_n again_o draw_v line_n to_o as_o many_o new_a angle_n as_o you_o see_v that_o be_v from_o whence_o you_o have_v not_o draw_v line_n before_o then_o choose_v out_o a_o three_o station_n from_o whence_o you_o may_v see_v all_o those_o angle_n whereunto_o you_o draw_v line_n last_v before_o and_o then_o draw_v that_o station_n line_n and_o then_o again_o remove_v 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season_n also_o if_o you_o dig_v trench_n four_o or_o five_o foot_n deep_o throw_v therein_o wool_n that_o be_v clean_a and_o dry_a cover_v the_o same_o with_o leaf_n herb_n or_o such_o like_a if_o then_o this_o wool_n have_v lyen_fw-we for_o a_o certain_a space_n still_o remain_v dry_a there_o be_v no_o water_n thereabouts_o to_o be_v find_v but_o if_o it_o be_v little_a wet_a or_o great_o wet_a there_o be_v little_a or_o great_a store_n of_o water_n to_o be_v find_v according_a as_o the_o wool_n be_v in_o wetnesse_n also_o water_n be_v to_o be_v find_v under_o these_o ensue_a herb_n yarrow_n or_o nose_n bleed_v vervain_n wild_a peniroyall_n venus_n hair_n camomile_n dog_n tooth_n foxtaile_n trifoly_n cinkefoile_n millefoile_n coliander_n or_o as_o some_o say_v where_o abundance_n of_o green_a ferne_n do_v plentiful_o grow_v or_o as_o l._n say_v where_o any_o other_o green_a herb_n natural_o flourish_v and_o abound_v without_o set_v your_o spring_n thus_o find_v they_o of_o long_a 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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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