the_o instrument_n of_o the_o staff_n staff_n the_o staff_n last_o unto_o this_o instrument_n there_o belong_v a_o staff_n 4_o foot_n long_o with_o a_o good_a steel_n pike_n in_o the_o foot_n thereof_o this_o staff_n serve_v to_o plant_v your_o instrument_n upon_o for_o which_o purpose_n in_o the_o top_n thereof_o be_v place_v a_o round_a pin_n of_o wood_n or_o brass_n and_o through_o the_o midst_n of_o the_o instrument_n be_v bore_v a_o hole_n to_o fit_v the_o say_a pin_n so_o when_o the_o instrument_n be_v place_v upon_o the_o say_a pin_n he_o will_v move_v round_o about_o but_o the_o best_a staff_n be_v that_o which_o be_v make_v with_o three_o staff_n join_v together_o like_a to_o a_o 3_o footed_a pair_n of_o compass_n chap._n lxii_o of_o the_o circumferentor_n his_o appellation_n and_o such_o thing_n as_o be_v to_o be_v consider_v general_o therein_o and_o of_o the_o protractor_n circumferentor_n the_o definition_n of_o the_o circumferentor_n what_o the_o intention_n of_o the_o 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betwixt_o the_o sun_n and_o the_o meridian_n and_o so_o of_o the_o rest_n chap._n lxiiii_o to_o find_v in_o what_o point_n of_o the_o horizon_n any_o thing_n see_v lie_v by_o the_o old_a cirferentor_n lie_v to_o know_v in_o what_o point_n of_o the_o compass_n any_o thing_n lie_v here_o it_o be_v requisite_a first_o to_o understand_v that_o 120_o degree_n represent_v the_o south_n and_o that_o the_o degree_n be_v number_v into_o the_o east_n so_o that_o to_o find_v what_o point_n of_o the_o horizon_n any_o thing_n lie_v from_o you_o do_v thus_o let_v the_o instrument_n be_v place_v parallel_n upon_o the_o staff_n then_o cease_v not_o to_o move_v the_o same_o chapter_n with_o more_o ease_n see_v the_o 28_o chapter_n until_o through_o the_o hole_n in_o the_o vane_n and_o by_o the_o pin_n head_n you_o see_v the_o thing_n desire_v note_v the_o degree_n then_o cut_v by_o the_o south_n end_n of_o the_o needle_n with_o which_o resort_n unto_o this_o table_n so_o have_v you_o your_o demand_n 15_o 30_o 45_o 60_o sou_n east_n east_n nor_n east_n north_n 75_o 90_o 105_o 120_o nor_n west_n west_n sou_n west_n north_n example_n i_o find_v the_o south_n point_v cut_v 45_o degree_n i_o conclude_v the_o thing_n see_v be_v north-east_n chap._n lxv_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 day_n to_o know_v the_o hour_n of_o the_o day_n work_v the_o instrument_n lie_v parallel_n until_o the_o shadow_n of_o the_o pin_n head_n point_n or_o fall_v just_a in_o the_o slit_n in_o the_o longer_z sight_n &_o the_o intersection_n of_o the_o needle_n i_o mean_v the_o south_n part_n with_o the_o parallel_n of_o the_o month_n or_o sign_n take_v whether_o you_o please_v be_v the_o hour_n which_o you_o shall_v know_v by_o the_o hour_n line_n pass_v thereby_o and_o you_o must_v understand_v that_o those_o circle_n i_o call_v parallel_n be_v such_o as_o be_v describe_v about_o the_o centre_n of_o the_o card_n and_o those_o i_o call_v hour_n circle_n be_v those_o that_o pass_v as_o it_o be_v from_o the_o centre_n to_o the_o limb_n cross_v the_o parallel_n chap._n lxvi_o to_o find_v the_o hour_n of_o sun_n rise_v and_o set_v at_o any_o time_n propose_v and_o the_o length_n of_o the_o day_n and_o night_n here_o you_o must_v note_v that_o this_o card_n be_v make_v but_o for_o one_o latitude_n and_o therefore_o his_o work_n in_o that_o behalf_n can_v be_v general_a but_o it_o may_v serve_v without_o any_o notable_a error_n over_o the_o most_o part_n of_o england_n you_o shall_v observe_v where_o the_o parallel_n of_o the_o month_n cut_v the_o horizon_n for_o the_o hour_n circle_n pass_v thereby_o or_o the_o near_a thereunto_o show_v your_o demand_n remember_v to_o seek_v
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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south_n end_n of_o the_o needle_n for_o arise_v but_o for_o a_o set_n see_v how_o many_o degree_n be_v include_v betwixt_o the_o east_n point_n of_o the_o card_n and_o the_o south_n end_n of_o the_o needle_n which_o treble_a so_o have_v you_o your_o desire_n but_o this_o chapter_n be_v perform_v with_o far_o more_o ease_n &_o truth_n by_o my_o topographicall_a glass_n chap._n lxviii_o of_o the_o opposite_a degree_n and_o how_o to_o find_v they_o degree_n opposite_a degree_n by_o a_o opposite_a degree_n be_v mean_v the_o opposite_a point_n of_o a_o diameter_n or_o the_o point_n opposite_a unto_o the_o degr_n cut_v by_o the_o south_n end_n of_o the_o needle_n that_o be_v the_o degr_n which_o the_o north_n end_n shall_v fall_v upon_o which_o be_v always_o the_o half_a of_o a_o circle_n distant_a from_o the_o south_n end_n in_o this_o instrument_n 60_o degree_n so_o that_o if_o the_o degree_n be_v less_o than_o 60_o add_v 60_o thereunto_o but_o if_o more_o than_o 60_o subtract_v 60_o from_o it_o and_o the_o total_a of_o the_o â—ne_n or_o the_o remainder_n of_o the_o other_o be_v your_o desire_n this_o need_v no_o example_n chap._n lxix_o to_o find_v the_o quantity_n of_o a_o angle_n angle_n to_o find_v the_o quantity_n of_o a_o angle_n the_o quantity_n of_o a_o angle_n be_v the_o portion_n of_o a_o circle_n include_v betwixt_o the_o 2_o side_n of_o any_o angle_n which_o be_v find_v upon_o this_o instrument_n by_o the_o cut_n of_o the_o needle_n at_o two_o observation_n in_o one_o place_n the_o lesser_a of_o which_o must_v be_v take_v from_o the_o great_a and_o the_o degree_n which_o remain_v after_o substraction_n be_v the_o quantity_n thereof_o but_o if_o the_o remainder_n after_o substraction_n excee_v 60_o then_o must_v the_o say_a remainder_n be_v take_v from_o 120_o so_o have_v you_o the_o quantity_n if_o your_o degree_n be_v not_o direct_v then_o must_v you_o work_v by_o the_o opposite_a degree_n as_o in_o the_o 9_o chapter_n take_v the_o lesser_a of_o those_o degree_n from_o the_o great_a and_o you_o must_v here_o note_v that_o all_o degree_n cut_v at_o diverse_a observation_n in_o one_o or_o more_o place_n be_v call_v direct_v and_o such_o degree_n as_o be_v opposite_a unto_o direct_a degree_n be_v call_v indirect_a and_o here_o note_v the_o tediousness_n of_o take_v a_o angle_n by_o this_o instrument_n inrespect_n of_o my_o staff_n chap._n lxx_o to_o take_v the_o distance_n of_o any_o mark_n by_o the_o old_a circumferentor_n distance_n to_o take_v a_o distance_n as_o i_o have_v often_o time_n say_v in_o the_o 2_o book_n of_o the_o geodeticall_a staff_n that_o there_o must_v be_v 3_o thing_n give_v as_o 2_o line_n and_o one_o angle_n or_o 2_o angle_n and_o one_o line_n by_o which_o all_o dimension_n be_v perform_v so_o in_o this_o kind_n of_o work_v you_o must_v always_o have_v two_o angle_n and_o one_o line_n give_v by_o help_n of_o which_o you_o may_v seek_v any_o distance_n propose_v thus_o plant_v your_o instrument_n at_o the_o place_n appoint_v whence_o you_o desire_v the_o distance_n and_o there_o look_v towards_o the_o say_a mark_n note_v the_o deg_fw-la cut_v by_o the_o south_n end_n of_o the_o needle_n then_o appoint_v another_o place_n for_o your_o second_o station_n to_o which_o bring_v the_o sight_n as_o before_o note_v the_o degr_n cut_v that_o do_v measure_v the_o distance_n betwixt_o the_o place_n you_o then_o stand_v at_o and_o the_o place_n appoint_v for_o your_o second_o station_n there_o again_o plant_v your_o instrument_n look_v through_o the_o fight_v unto_o the_o mark_n who_o distance_n be_v require_v then_o note_v the_o degr_n cut_v and_o so_o get_v the_o quantity_n of_o both_o the_o angle_n as_o in_o the_o last_o chapter_n when_o you_o have_v get_v these_o two_o angle_n add_v they_o both_o together_o which_o take_v from_o 60_o so_o have_v you_o the_o quantity_n of_o the_o angle_n at_o your_o mark_n then_o must_v you_o resort_v unto_o the_o table_n of_o sign_n place_v in_o the_o instrument_n and_o there_o â—ind_v the_o sign_n of_o every_o angle_n and_o note_v it_o down_o and_o if_o the_o quantity_n of_o the_o angle_n excee_v 30_o subtract_v the_o excess_n or_o overplus_n from_o 30_o and_o take_v the_o sign_n of_o the_o remainder_n these_o sign_n have_v and_o note_v down_o work_n by_o the_o golden_a rule_n wherein_o the_o sign_n of_o the_o angle_n at_o the_o mark_n must_v be_v the_o first_o number_n the_o measure_n betwixt_o the_o two_o station_n the_o second_o number_n and_o the_o sign_n of_o the_o other_o angle_v several_o the_o three_o number_n according_a to_o the_o side_n which_o be_v seek_v and_o this_o work_n be_v ground_v upon_o this_o chapter_n in_o all_o rightlined_n triangle_n the_o proportion_n of_o the_o one_o side_n unto_o the_o other_o be_v such_o as_o the_o sign_n represent_v the_o angle_n be_v or_o more_o brief_a st._n see_v the_o 7_o book_n axioma_fw-la 2._o of_o the_o geo._n st._n the_o side_n of_o opposite_a angle_n be_v direct_v proportional_a to_o their_o sign_n chap._n lxxi_o to_o perform_v the_o last_o chap._n by_o protract_v with_o the_o old_a or_o new_a circumferentor_n distance_n to_o take_v a_o distance_n have_v make_v your_o observation_n at_o each_o station_n note_v down_o the_o degr_n cut_v by_o the_o south_n end_n of_o the_o needle_n and_o then_o protract_v thus_o take_v a_o fair_a sheet_n of_o paper_n and_o fasten_v the_o same_o upon_o a_o plain_a table_n or_o such_o like_a with_o mouth_n glue_n then_o shall_v you_o make_v a_o point_n upon_o your_o paper_n to_o represent_v your_o first_o station_n there_o keep_v the_o side_n of_o your_o instrument_n turn_v he_o until_o the_o needle_n cut_v the_o degree_n first_o note_v then_o draw_v a_o
diameter_n thereof_o stand_v parallel_n with_o the_o fiducial_a edge_n of_o the_o index_n g_o and_z f._n 9_o in_o the_o midst_n of_o this_o demicircle_n under_o 12_o in_o the_o hysometricall_a scale_n may_v you_o fix_v a_o plumbe_v and_o over_o the_o boar_n with_o the_o needle_n a_o certain_a point_n just_a under_o 12_o which_o will_v serve_v to_o keep_v the_o instrument_n parallel_n and_o upright_o which_o the_o cross_a needle_n will_v as_o well_o do_v but_o both_o be_v not_o amiss_o the_o old_a song_n be_v two_o string_n be_v good_a to_o one_o bow_n some_o reasonable_a distance_n as_o a_o inch_n and_o better_a draw_v a_o line_n b_o m_o parallel_n to_o h_o g_o whereunto_o draw_v 11_o parallel_n at_o such_o distance_n as_o they_o be_v in_o the_o figure_n wherein_o must_v be_v place_v the_o degr_n figure_n and_o character_n of_o the_o 12_o sign_n 〈◊〉_d as_o in_o the_o demonstration_n they_o be_v every_o parallel_n be_v divide_v as_o g_o k_n be_v by_o place_v the_o one_o foot_n of_o your_o compass_n in_o f_o and_o so_o fetch_v each_o degree_n from_o the_o line_n g_o f_o to_o the_o other_o parallel_n and_o at_o the_o end_n of_o every_o three_o degree_n the_o line_n be_v strike_v quite_o through_o so_o that_o there_o be_v two_o line_n parallel_v to_o g_o m_o and_o k_o l_o stroke_n quit_v through_o and_o these_o line_n do_v limit_v the_o beginning_n and_o end_v of_o every_o sign_n you_o must_v also_o note_v the_o south_n and_o north_n sign_n at_o the_o head_n as_o here_o they_o be_v in_o the_o very_a point_n h_o there_o be_v the_o ordinary_a fight_n place_v such_o as_o be_v in_o quadrant_n so_o be_v the_o graduate_n of_o this_o sight_n finish_v this_o fore_a piece_n of_o the_o movable_a sight_n so_o finish_v there_o must_v be_v another_o piece_n of_o like_a quantity_n solder_v thereunto_o or_o lâ—ft_o grow_v unto_o the_o same_o piece_n and_o after_o bend_a in_o such_o sort_n that_o it_o may_v clasp_v over_o the_o demicircle_n so_o do_v these_o two_o piece_n hold_v the_o say_a demicircle_n straite_o betwixt_o the_o same_o that_o it_o may_v move_v strait_o and_o equal_o along_o the_o same_o in_o so_o much_o that_o the_o arch_n h_o b_o will_n always_o be_v carry_v upon_o the_o circumference_n b_o c_o in_o the_o demi-circle_n c_o g_o and_o g_o h_o doe_n represent_v the_o distance_n of_o the_o two_o piece_n one_o from_o the_o other_o which_o be_v the_o just_a thickness_n of_o the_o demicircle_n neither_o will_v it_o be_v amiss_o to_o have_v a_o small_a screw_a pin_n upon_o the_o back_n or_o further_a side_n of_o this_o movable_a sight_n which_o will_v make_v the_o say_a sight_n move_v the_o more_o steady_a 10_o the_o next_o thing_n pertinent_a unto_o this_o instrument_n be_v a_o box_n to_o hold_v the_o needle_n box_n the_o box_n the_o circumference_n of_o this_o box_n must_v agree_v with_o the_o circle_n p_o q_o in_o the_o great_a figure_n for_o within_o that_o ciccle_n must_v he_o stand_v the_o diameter_n whereof_o must_v be_v 3_o inch_n and_o in_o 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 of_o brass_n upon_o the_o bottom_n of_o the_o box_n with_o screw_a hole_n answer_v to_o the_o hole_n in_o the_o socket_n upon_o the_o box_n above_o the_o glass_n stand_v a_o certain_a crooked_a wire_n bear_v a_o rounâ—_n knob_v in_o the_o midst_n just_a over_o the_o areltree_n that_o bear_v the_o needle_n and_o just_a under_o the_o plumbe_v when_o the_o instrument_n stand_v upright_o needle_n the_o needle_n 11_o the_o next_o thing_n be_v a_o needle_n which_o must_v be_v provide_v in_o manner_n follow_v as_o for_o the_o needle_n i_o will_v have_v it_o make_v like_o two_o needle_n join_v together_o at_o right_a angle_n as_o you_o may_v see_v in_o the_o ensue_a figure_n and_o you_o shall_v flâ—d_v it_o hereby_o more_o true_a and_o apt_a to_o work_v then_o the_o single_a needle_n be_v for_o it_o will_v keep_v the_o instrument_n parallel_n and_o upright_o without_o the_o help_n of_o the_o plumbe_v cut_v the_o degree_n more_o precise_o and_o stand_v more_o direct_o now_o this_o needle_n must_v be_v touch_v with_o a_o lord_n stone_n and_o it_o be_v very_o requisite_a that_o the_o say_a stone_n be_v good_a therefore_o make_v choice_n of_o one_o thus_o the_o best_a stone_n be_v those_o that_o come_v from_o the_o coast_n of_o china_n and_o bengalia_n the_o colour_n whereof_o be_v like_a to_o iron_n or_o somewhat_o sanguine_a if_o they_o be_v right_a they_o will_v draw_v up_o their_o own_o weight_n they_o be_v heavy_a than_o other_o there_o be_v another_o near_a as_o good_a which_o come_v from_o arabia_n they_o be_v broad_a like_o a_o tyle-stone_n and_o somewhat_o red_a colour_a if_o the_o magnes_n stone_n have_v lose_v his_o virtue_n throw_v it_o into_o the_o fire_n and_o let_v it_o lie_v there_o until_o it_o be_v near_o red_a hot_a and_o then_o quench_v it_o in_o the_o oil_n of_o crocus_n martis_n so_o shall_v his_o power_n be_v multiply_v your_o stone_n thus_o order_v you_o shall_v make_v clean_o the_o north_n end_n of_o your_o needle_n and_o rub_v the_o very_a end_n thereof_o with_o the_o stone_n this_o preconsider_v that_o the_o north_n point_n of_o the_o stone_n touch_v the_o needle_n cause_v that_o end_n touch_v to_o point_n into_o the_o south_n so_o contrariwise_o the_o end_n touch_v with_o the_o south_n part_n turn_v into_o the_o north_n so_o that_o you_o must_v have_v a_o care_n in_o this_o point_n after_o you_o have_v touch_v the_o end_n of_o the_o needle_n if_o it_o be_v equiballance_v before_o you_o shall_v find_v the_o same_o end_n to_o hang_v downward_o as_o it_o be_v the_o heavy_a whereby_o the_o unskilful_a spoil_n many_o needle_n and_o this_o be_v call_v the_o declination_n of_o the_o needle_n under_o the_o horizon_n therefore_o let_v the_o end_n that_o shall_v not_o be_v touch_v be_v the_o heavy_a before_o you_o use_v the_o stone_n and_o after_o the_o application_n of_o the_o stone_n if_o it_o be_v too_o heavy_a you_o may_v amend_v the_o same_o the_o needle_n so_o touch_v the_o south_n end_v thereof_o will_v not_o point_v just_a into_o the_o south_n meridian_n magnetical_a meridian_n for_o that_o the_o magnetical_a meridian_n whereto_o the_o needle_n point_n and_o the_o common_a meridian_n wherein_o the_o just_a south_n stand_v differ_v for_o the_o magnetical_a meridian_n be_v a_o great_a circle_n as_o the_o other_o be_v and_o also_o pass_v by_o the_o zenith_n divide_v the_o horizon_n into_o two_o equal_a part_n the_o intersection_n of_o which_o meridian_n with_o the_o horizon_n be_v the_o point_n whereunto_o the_o needle_n turn_v which_o be_v call_v the_o variation_n of_o the_o needle_n needle_n the_o variation_n of_o the_o needle_n and_o at_o london_n be_v one_o point_n of_o the_o compass_n or_o 11._o degr_n and_o 15_o minute_n west_n from_o our_o common_a meridian_n and_o this_o be_v the_o cause_n that_o in_o all_o portable_a sun_n dial_n the_o line_n which_o the_o needle_n stand_v over_o do_v not_o point_n just_a unto_o the_o 12_o of_o clock_n mark_n nor_o lie_v under_o our_o common_a ineridian_n last_o prepare_v a_o hollow_a socket_n of_o brass_n with_o a_o screw_a pin_n &_o the_o socket_n to_o be_v scrw_v on_o as_o the_o order_n be_v so_o be_v your_o instrument_n finish_v only_o provide_v a_o staff_n for_o the_o same_o dial_n portable_a dial_n the_o three_o footed_a staff_n be_v best_a to_o place_v it_o at_o all_o height_n and_o in_o all_o place_n and_o one_o special_a note_n you_o most_o here_o observe_v in_o the_o delineat_n of_o this_o instrument_n that_o be_v tâ—_n have_v a_o care_n that_o the_o body_n of_o the_o instrument_n be_v just_a four_o square_a and_o that_o the_o side_n of_o the_o square_a lie_n parallel_n to_o the_o diameter_n of_o the_o circle_n that_o be_v divide_v into_o 360._o degree_n viz._n that_o
proportion_n the_o radius_fw-la be_v in_o the_o first_o place_n for_o as_o the_o secant_fw-la be_v to_o the_o radius_fw-la so_o be_v the_o radius_fw-la to_o the_o sign_n of_o the_o complement_n any_o other_o difference_n that_o may_v happen_v in_o any_o kind_n of_o obtuse_a angle_a triangle_n be_v resolve_v in_o the_o manuduction_n in_o trigonometria_fw-la by_o make_v a_o dislocation_n of_o the_o oblike_a triangle_n and_o convert_n any_o one_o of_o they_o into_o two_o right_a angle_a triangle_n which_o for_o that_o it_o be_v brief_o set_v down_o there_o i_o will_v here_o open_v it_o with_o a_o example_n example_n salopia_n chap._n xxxiii_o to_o square_a land_n and_o to_o reduce_v irregular_a plain_n into_o some_o regular_a figure_n and_o that_o in_o the_o open_a field_n to_o square_v any_o any_o field_n be_v to_o reduce_v the_o whole_a body_n of_o the_o same_o into_o one_o square_a reject_v the_o corner_n angle_n and_o crooked_a hedge_n which_o must_v be_v after_o measure_v according_a to_o the_o figure_n they_o represent_v now_o for_o the_o corner_n and_o fragment_n that_o do_v remain_v you_o must_v measure_v they_o according_a unto_o the_o figure_n that_o they_o most_o resemble_v even_o as_o you_o may_v best_o gather_v by_o the_o prick_a line_n in_o the_o demonstration_n without_o any_o more_o circumstance_n of_o word_n but_o say_v the_o irregular_a field_n lie_v most_o apt_a to_o be_v reduce_v into_o a_o triangle_n which_o be_v thus_o perform_v chap._n xxxiiii_o to_o search_v out_o the_o perpendicular_a in_o any_o triangle_n or_o other_o figure_n according_a as_o it_o lie_v in_o the_o open_a field_n now_o have_v reduce_v any_o plain_a irregular_a poligon_n into_o a_o triangle_n or_o such_o other_o figure_n who_o superficial_a content_n be_v find_v by_o the_o help_n of_o a_o perpendicular_a and_o for_o that_o the_o length_n of_o the_o say_v perpendicular_a be_v something_o difficult_a to_o be_v attain_v unto_o the_o open_a field_n because_o it_o be_v uncertain_a upon_o what_o part_n of_o the_o base_a your_o say_a perpendicular_a fall_v i_o have_v not_o therefore_o think_v it_o much_o here_o to_o deliver_v you_o the_o order_n how_o to_o perform_v the_o same_o let_v a_o b_o c_o be_v a_o certain_a plain_a field_n which_o you_o be_v put_v to_o measure_n the_o question_n be_v to_o find_v in_o what_o part_n of_o the_o base_a b_o c_o a_o perpendicular_a will_v happen_v fall_v from_o the_o angle_n a._n first_o therefore_o i_o plant_v my_o glass_n in_o the_o line_n b_o c_o as_o near_a as_o i_o can_v guess_v under_o the_o angle_n a_o as_o at_z d_o than_o i_o move_v the_o index_n about_o until_o the_o index_n with_o the_o short_a fight_n lie_v direct_o over_o the_o line_n b_o c_o then_z i_o look_v through_o the_o sight_n in_o the_o demicircle_n if_o then_o the_o visual_a bâ—â—mes_n run_v to_o a_o my_o instrument_n stand_v right_a and_o d_o be_v the_o place_n where_o the_o perpendicular_a a_o d_o shall_v fall_v but_o if_o it_o have_v not_o so_o happen_v i_o must_v have_v remove_v the_o instrument_n as_o i_o have_v see_v occasion_n oâ—_n the_o like_a must_v you_o do_v in_o any_o other_o figure_n in_o the_o like_a case_n whereby_o you_o may_v see_v how_o necessary_a the_o four_o index_n be_v for_o the_o false_a take_n of_o perpendicular_o be_v a_o chief_a occasion_n of_o those_o palpable_a error_n that_o be_v daily_o commit_v and_o a_o principal_a cause_n wherefore_o the_o common_a practiser_n so_o often_o differ_v chap._n xxxv_o to_o reduce_v many_o plait_n or_o all_o your_o observation_n into_o one_o and_o thereby_o to_o make_v a_o fair_a map_n thereof_o according_a to_o the_o quantity_n assign_v brrief_o to_o teach_v you_o to_o perform_v this_o chapter_n you_o must_v first_o appoint_v the_o card_n of_o the_o bigness_n that_o you_o intend_v to_o make_v your_o map_n cross_v the_o same_o with_o two_o line_n at_o right_a angle_n &_o that_o about_o the_o midst_n of_o your_o map_n write_v at_o the_o end_n thereof_o east_n west_n north_n and_o south_n now_o you_o be_v to_o seek_v in_o your_o table_n gather_v at_o your_o observation_n the_o great_a distance_n betwixt_o the_o most_o eastern_a and_o western_a place_n and_o also_o the_o great_a distance_n betwixt_o the_o most_o northern_a and_o southerne_o place_n and_o so_o according_o choose_v you_o a_o scale_n that_o those_o place_n be_v lay_v down_o by_o the_o same_o may_v fall_v within_o your_o card._n anglia_fw-it example_n letoy_n the_o proposition_n be_v to_o describe_v england_n and_o therein_o to_o situate_a such_o town_n as_o shall_v be_v require_v in_o that_o bigness_n as_o be_v here_o set_v down_o according_a to_o my_o scale_n the_o first_o thing_n that_o i_o do_v have_v appoint_v my_o card_n i_o cross_v the_o same_o with_o two_o right_a line_n at_o right_a angle_n appoint_v at_o the_o end_n thereof_o the_o four_o quarter_n of_o the_o world_n as_o in_o the_o type_n then_o i_o find_v out_o some_o town_n that_o i_o conjecture_v by_o conference_n with_o my_o table_n lie_v about_o the_o midst_n of_o the_o land_n which_o let_v for_o example_n sake_n be_v middle_a wiche_n a_o town_n situate_a in_o cheshire_n the_o which_o town_n i_o place_n upon_o the_o very_a intersection_n of_o the_o foresay_a line_n and_o thereby_o write_v the_o name_n of_o the_o same_o search_v in_o my_o table_n for_o some_o other_o town_n that_o lie_v direct_a east_n west_n north_n or_o south_n i_o find_v none_o therefore_o i_o take_v some_o other_o town_n as_o bristol_n draw_v a_o line_n according_a to_o the_o position_n of_o the_o same_o get_v also_o from_o your_o table_n the_o distance_n of_o that_o town_n from_o middle_a wiche_n as_o 97_o mile_n to_o which_o wideness_n upon_o your_o scale_n open_v the_o foot_n of_o your_o compass_n and_o then_o place_v that_o wideness_n upon_o the_o line_n of_o position_n for_o bristol_n place_v the_o one_o foot_n in_o the_o mark_n make_v for_o middle_a wiche_n make_v a_o note_n with_o the_o other_o in_o the_o say_a line_n of_o position_n where_o write_v bristol_n these_o two_o town_n so_o place_v let_v we_o now_o go_v situate_a northampton_n first_o by_o my_o table_n i_o find_v the_o distance_n of_o middle_n wiche_n from_o northampton_n and_o according_a to_o that_o distance_n the_o one_o foot_n rest_v in_o the_o mark_n for_o middle_a wiche_n with_o the_o other_o i_o strike_v the_o portion_n of_o any_o arch_n the_o like_a i_o do_v with_o the_o distance_n of_o northampton_n from_o bristol_n as_o in_o the_o 12_o chapter_n be_v plain_a now_o the_o intersection_n of_o these_o two_o arch_n be_v the_o true_a place_n of_o northampton_n where_o make_v a_o mark_n for_o the_o town_n and_o write_v the_o name_n thereof_o by_o the_o say_a mark_n and_o so_o proceed_v limit_v all_o the_o town_n port_n angle_n and_o nook_n in_o the_o island_n in_o their_o proper_a place_n as_o you_o may_v sufficient_o gather_v by_o the_o former_a demonstration_n have_v finish_v in_o some_o void_a place_n you_o may_v appoint_v the_o mariner_n compass_n as_o in_o the_o card_n before_o and_o this_o compass_n will_v serve_v you_o for_o many_o necessary_a use_n as_o it_o be_v not_o unknown_a to_o man_n see_v that_o way_n chap._n xxxvi_o to_o divide_v any_o empire_n kingdom_n or_o continent_n into_o province_n regiment_n or_o shire_n when_o you_o have_v take_v the_o plat_n of_o any_o country_n and_o therein_o situate_v all_o the_o town_n port_n and_o such_o like_a yet_o happy_o shall_v it_o be_v expedient_a or_o rather_o of_o you_o require_v to_o separate_v and_o distinguish_v the_o same_o into_o such_o province_n shire_n or_o regiment_n as_o the_o say_a kingdom_n be_v divide_v into_o so_o be_v england_n or_o the_o south_n part_n of_o great_a brittany_n be_v a_o peninsula_fw-la divide_v into_o 52_o part_n but_o not_o equal_a part_n which_o we_o call_v shire_n then_o be_v every_o shire_n subdivide_v into_o other_o certain_a unequal_a part_n as_o worcester_z shire_n into_o 12_o which_o be_v call_v hundred_o either_o for_o that_o there_o be_v but_o at_o first_o so_o many_o town_n or_o village_n therein_o or_o for_o that_o there_o be_v to_o be_v require_v 100_o able_a man_n in_o every_o of_o they_o other_o division_n be_v england_n yet_o subject_a unto_o as_o first_o the_o whole_a kingdom_n be_v divide_v into_o two_o province_n or_o archbishopricke_n to_o wit_n canterbury_n and_o york_n than_o these_o province_n be_v subdivide_v into_o bishopricke_n and_o every_o bishopric_n be_v resubdivide_v into_o parish_n according_a to_o which_o division_n i_o mind_n god_n willing_a to_o describe_v a_o map_n of_o all_o england_n etc._n etc._n but_o now_o the_o way_n how_o to_o attain_v unto_o these_o subdivision_n be_v not_o know_v it_o be_v therefore_o to_o be_v perform_v after_o two_o kind_n of_o way_n the_o first_o whereof_o be_v you_o must_v in_o your_o perambulation_n as_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 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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
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 lead_n as_o m._n lucar_n will_v also_o you_o must_v have_v such_o sight_n for_o this_o table_n as_o be_v describe_v in_o the_o use_n of_o the_o circumferentor_n who_o use_n be_v set_v down_o in_o the_o 16._o chapter_n of_o the_o same_o book_n or_o else_o you_o may_v have_v such_o a_o quadrant_a as_o be_v speak_v of_o in_o the_o first_o part_n of_o my_o art_n of_o geodetia_n as_o in_o the_o 26._o chapter_n these_o thing_n have_v you_o may_v fall_v to_o work_v chap._n xlvii_o to_o take_v any_o horizontall_a distance_n by_o the_o plain_a table_n table_n to_o take_v any_o distance_n by_o the_o plain_a table_n it_o be_v vain_a to_o make_v many_o demonstration_n of_o this_o work_n since_o a_o few_o may_v as_o well_o suffice_v for_o this_o instrument_n be_v but_o only_o fit_a to_o take_v longitude_n and_o latitude_n as_o for_o altitude_n i_o hold_v he_o very_o troublesome_a and_o unapt_a to_o perform_v the_o same_o though_o m._n lucar_n have_v take_v pain_n to_o illustrate_v he_o in_o that_o point_n howbeit_o find_v by_o experience_n the_o cumbersome_a and_o uncertain_a work_n thereby_o i_o think_v it_o better_o omit_v then_o remember_v you_o shall_v then_o understand_v that_o you_o may_v perform_v any_o distance_n upon_o this_o table_n in_o the_o same_o order_n as_o you_o do_v with_o my_o staff_n only_o here_o you_o must_v draw_v line_n upon_o the_o paper_n and_o measure_v the_o same_o by_o your_o scale_n whereas_o the_o leg_n of_o the_o staff_n represent_v the_o line_n and_o the_o division_n your_o scale_n therefore_o at_o the_o place_n whence_o the_o distance_n be_v require_v to_o any_o mark_n propose_v place_v your_o table_n which_o place_n call_v your_o first_o station_n then_o your_o table_n lie_v parallel_n with_o your_o compass_n make_v a_o point_n in_o the_o paper_n to_o represent_v that_o first_o station_n whereunto_o bring_v the_o fiducial_a edge_n of_o your_o rule_n keep_v the_o one_o end_n of_o the_o say_v ruler_n upon_o the_o point_n move_v the_o other_o until_o through_o the_o grove_n or_o sight_n you_o spy_v the_o mark_n who_o distance_n be_v require_v the_o rule_n so_o rest_v draw_v a_o line_n by_o the_o fiducial_a edge_n thereof_o the_o table_n rest_v spy_v out_o a_o second_o station_n &_o let_v it_o make_v as_o near_o as_o you_o may_v a_o right_a angle_n with_o the_o mark_n who_o distance_n be_v require_v this_o mark_n so_o appoint_v out_o for_o your_o second_o station_n keep_v the_o fidutiall_a edge_n of_o the_o rule_n upon_o the_o foresay_a point_n and_o so_o draw_v a_o line_n to_o point_n to_o your_o second_o station_n then_o let_v one_o measure_v the_o distance_n betwixt_o your_o first_o and_o second_o station_n which_o be_v best_a to_o be_v 1_o 10_o part_n of_o the_o distance_n require_v so_o have_v you_o finish_v all_o at_o your_o first_o station_n with_o this_o proviso_n that_o you_o have_v regard_n to_o the_o degree_n cut_v by_o the_o south_n end_n of_o the_o needle_n in_o the_o card_n in_o the_o bottom_n of_o the_o box_n before_o you_o any_o wise_a alter_v the_o table_n and_o that_o you_o lay_v down_o your_o stationary_a line_n by_o your_o scale_n and_o compass_n limit_v the_o same_o according_a to_o the_o line_n measure_v &_o at_o the_o end_n thereof_o mark_v another_o prick_n which_o call_v the_o prick_n of_o your_o second_o station_n then_o take_v up_o your_o table_n leave_v a_o mark_n at_o your_o first_o station_n under_o the_o prick_n make_v upon_o the_o table_n represent_v the_o same_o now_o must_v you_o bear_v your_o instrument_n to_o your_o second_o station_n where_o have_v place_v the_o same_o in_o such_o sort_n that_o the_o prick_n of_o your_o second_o station_n may_v direct_o stand_v over_o the_o mark_n represent_v your_o second_o station_n lay_v then_o the_o edge_n of_o your_o ruler_n upon_o the_o stationary_a line_n keep_v the_o prick_n of_o your_o second_o station_n next_o to_o your_o body_n turn_v about_o the_o table_n the_o ruler_n rest_v as_o before_o till_o through_o the_o sight_n 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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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 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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 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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
see_v the_o 19_o perpendicular_a count_v from_o the_o centre_n intersect_v which_o show_v that_o the_o line_n measure_v 20_o perch_n must_v be_v protract_v 19_o and_o if_o the_o length_n of_o the_o line_n measure_v exceed_v 30_o perche_n and_o be_v less_o than_o 60_o then_o take_v half_a the_o number_n upon_o the_o index_n and_o the_o perpendicular_a will_v answer_v to_o half_a the_o length_n of_o the_o horizontall_a line_n but_o if_o the_o line_n exceed_v 60_o take_v then_o ¼_n ¾_n &_o c._n &_o the_o perpendicular_a will_v answer_v proportional_o chap._n lxxviii_o to_o seek_v any_o altitude_n by_o this_o quadrant_n altitude_n to_o seek_v a_o altitude_n take_v the_o angle_n of_o altitude_n whereunto_o bring_v the_o index_n the_o same_o be_v count_v in_o the_o lymb_n than_o number_n the_o horizontal_n distance_n in_o the_o semidiameter_n &_o the_o portion_n of_o the_o perpendicular_a to_o the_o index_n show_v the_o height_n chap._n lxxix_o to_o take_v the_o declination_n of_o any_o wall_n by_o the_o old_a or_o new_a circumferentor_n wall_n to_o get_v the_o declination_n of_o any_o wall_n by_o the_o declination_n of_o any_o wall_n be_v mean_v the_o bend_n or_o lean_v of_o the_o surface_n from_o the_o meridian_n if_o a_o wall_n be_v not_o direct_v he_o be_v then_o decline_a if_o the_o wall_n point_v just_a east_n west_n north_n or_o south_n he_o be_v direct_a otherwise_o decline_v all_o wall_n decline_v either_o south_n or_o north_n the_o quantity_n whereof_o be_v thus_o have_v set_v the_o north_n end_n of_o the_o instrument_n unto_o the_o wall_n now_o if_o the_o needle_n cut_v 30_o 60_o 90_o or_o 120_o it_o be_v a_o east_n a_o north_n a_o west_n or_o a_o south_n wall_n 1_o but_o if_o the_o needle_n cut_v betwixt_o 120_o and_o 30_o the_o wall_n be_v south_n east_n decline_v to_o the_o east_n 2_o if_o the_o needle_n cut_v betwixt_o 120_o and_o 90_o that_o wall_n be_v south_n west_n decline_v 3_o if_o the_o needle_n cut_v betwixt_o 30_o and_o 60_o that_o wall_n be_v north_n decline_v to_o the_o east_n 4_o it_o betwixt_o 60_o and_o 90_o the_o wall_n be_v north_n decline_v to_o the_o west_n 1_o if_o the_o wall_n decline_v south_n east_n multiply_v the_o degr_n cut_v by_o 3._o 2_o if_o west_n take_v the_o degr_n cut_v from_o 120_o and_o the_o remainder_n multiply_v by_o 3_o which_o produce_v your_o desire_n 3_o if_o north_n east_n take_v the_o degree_n cut_v from_o 60_o and_o the_o remainder_n multiply_v by_o 3._o 4_o if_o north_n west_n take_v 60_o from_o the_o degree_n cut_v and_o multiply_v by_o 3_o so_o have_v you_o your_o desire_n com._n heref._n manerium_fw-la de_fw-la sale_n in_o superuis_fw-la manerij_fw-la praed_fw-we ibid._n fact_n xiij_o &_o fourteen_o diebus_fw-la septembris_fw-la anno_fw-la regni_fw-la dom._n nost_n jacobi_fw-la dei_fw-la grand_fw-mi ang._n scotiae_fw-la fran_n &_o hibern_n reg._n fidei_fw-la defensor_fw-la etc._n etc._n viz._n angl._n franc._n &_o hibern_n sexto_fw-la &_o scotiae_fw-la xlij_o per_fw-la b._n g._n gent._n virtute_fw-la commissionis_fw-la dicti_fw-la domin_n reg._n extra_fw-la scaccar_n suum_fw-la sibi_fw-la direct_v continetur_fw-la inter_fw-la alia_fw-la ut_fw-la sequitur_fw-la viz._n r._n g._n gent._n tenet_fw-la per_fw-la copiam_fw-la that_fw-mi xxviij_o die_v septembris_fw-la anno_fw-la regni_fw-la regis_fw-la nunc_fw-la angl._n etc._n etc._n quinto_fw-la cert_fw-la terr_v &_o tenement_n custumar_n infra_fw-la manner_n praed_fw-we nuper_fw-la i.g._n armig_v ante_fw-la a._n hos_fw-la gent._n ante_fw-la b.d._n armig_v patris_fw-la svi_fw-la viz._n dom._n mansional_a eight_o spac_n unum_fw-la horr_v seven_o unam_fw-la coquinan_n iij._n spac_n unum_fw-la stabulum_fw-la ij_o spac_fw-la unum_fw-la bovile_n v._o spac_n unum_fw-la columbar_v unum_fw-la gardinum_fw-la tria_fw-la pomar_n unde_fw-la 2_o voc_fw-la le_fw-fr north_n orchard_n &_o long_a orchard_n count_n per_fw-la estimac_fw-la iiij_o acr_n terr_n be_v iacen_n in_o quodam_fw-la clau_n inter_fw-la al._n voc_fw-la the_o west_n enclosure_n cont_n per_fw-la estimat_fw-la l._n acr_n parcel_v unius_fw-la claus_n prat_v voc_fw-la le_fw-fr heald_n per_fw-la estimation_n xx_o acr_n parcel_v unius_fw-la clau_n pastur_v voc_fw-la le_fw-fr white_a field_n count_n per_fw-la estimat_fw-la xiij_o ac_fw-la habend_n sibi_fw-la &_o suis_fw-la secund_a consuetud_fw-la manner_n per_fw-la redd_n per_fw-la annum_fw-la xij_o s._n ij_o d._n an._n val_n dimit_fw-la x._o l._n in_o like_a manner_n must_v you_o deal_v with_o all_o the_o other_o tenement_n of_o the_o say_a manor_n note_v the_o quantity_n of_o every_o particular_a than_o the_o rend_v pay_v and_o at_o the_o low_a end_n a_o reasonable_a improovement_n and_o if_o there_o be_v any_o other_o commodity_n in_o the_o say_a manor_n accrue_v to_o the_o lord_n thereof_o they_o may_v be_v note_v as_o follow_v manerium_fw-la de_fw-la sale_n valet_fw-la in_o redd_n uxx_fw-la l.xij_fw-la s._n viz._n nundinum_n tentum_fw-la annuatim_fw-la ibidem_fw-la die_fw-la jovis_fw-la proxim_n post_fw-la festum_fw-la beatae_fw-la mariae_fw-la iij._n l._n nundinum_n tentum_fw-la annuatim_fw-la die_fw-la veneris_fw-la proxim_n post_fw-la festum_fw-la etc._n etc._n l._n s._n market_n 3._o l._n x._o s._n mercat_n hebdomadatim_fw-la ibidem_fw-la tenent_fw-la dimiss_v g._n i._o per_fw-la annum_fw-la 4._o l._n shamellorum_fw-la &_o scal_fw-mi tam._n carnium_fw-la quam_fw-la piscium_fw-la ibid._n per_fw-la annum_fw-la 30._o s._n milles._n seven_o l._n vnius_fw-la molendini_fw-la aquatici_fw-la iiij_o l._n vnius_fw-la molendini_fw-la ventricij_fw-la iij._n l._n fishpool_n xlij_o s._n una_fw-la piscaria_fw-la vocat_fw-la le_fw-fr white_a pool_n xx_o s._n piscar_fw-la communis_fw-la aquae_fw-la ibidem_fw-la vocat_fw-la le_fw-fr black_a moor_n xxij_o s._n pawnage_n thirty_o s._n pannagio_fw-it porcorum_fw-la tenent_fw-la ibidem_fw-la quam_fw-la aliorum_fw-la infra_fw-la communem_fw-la boscum_fw-la etc._n etc._n x._o s._n pannag_n porcorum_fw-la tenent_fw-la ibidem_fw-la in_o parco_fw-la vocat_fw-la etc._n etc._n at_o 3._o d._n the_o piece_n per_fw-la annum_fw-la xx_o s._n swan_n cignorum_fw-la in_o aqua_fw-la domini_fw-la vocat_fw-la le_fw-fr broad_n poole_n etc._n etc._n quarreyes_n ix_o l_o quarreum_n lapidum_fw-la vocat_fw-la le_fw-fr free_a stone_n per_fw-la annum_fw-la iij._n l._n quarreum_n lapidum_fw-la vocat_fw-la le_fw-fr slate_n vj._n l._n perquisites_n of_o court_n amerciament_n etc._n etc._n iij._n l._n if_o there_o be_v any_o reprise_n wherewith_o the_o manor_n be_v charge_v as_o money_n for_o the_o yearly_a repair_n of_o some_o bridge_n high_a way_n or_o any_o other_o annual_a pension_n whatsoever_o let_v it_o be_v note_v as_o the_o former_a and_o in_o the_o conclusion_n say_v ei_o remanet_fw-la clare_v per_fw-la annum_fw-la ultra_fw-la repris_fw-la 306._o l._n 14._o s._n 8._o d._n and_o you_o must_v further_o note_v that_o the_o first_o thing_n you_o have_v to_o deal_v with_o be_v the_o sight_n of_o the_o manor_n house_n the_o building_n and_o demesne_fw-la than_o the_o park_n parsonage_n etc._n etc._n if_o any_o be_v and_o then_o procee_v to_o the_o tenement_n as_o before_o to_o make_v a_o plat_n or_o map_n and_o place_v a_o sea-card_n therein_o upon_o the_o midst_n of_o your_o plat_n describe_v a_o circle_n as_o upon_o a_o which_o divide_v into_o 32_o part_n and_o then_o about_o the_o map_n describe_v another_o circle_n which_o will_v likewise_o be_v divide_v into_o 30_o part_n by_o draw_v line_n from_o the_o centre_n a_o by_o each_o of_o the_o 32_o equal_a part_n in_o the_o first_o circle_n now_o if_o upon_o every_o of_o those_o intersection_n as_o a_o centre_n you_o describe_v a_o circle_n divide_v every_o of_o their_o circumference_n into_o 32_o equal_a part_n extend_v from_o they_o right_a line_n through_o the_o body_n of_o the_o map_n you_o have_v finish_v the_o sea-card_n and_o will_v beautify_v your_o map_n and_o serve_v to_o express_v many_o pretty_a conclusion_n which_o at_o this_o time_n i_o mind_v not_o to_o repeat_v provide_v that_o you_o draw_v the_o line_n there_o of_o in_o some_o colour_n as_o red_a or_o such_o like_a that_o they_o may_v be_v ready_o distinguish_v from_o the_o line_n of_o the_o map_n or_o plat_n you_o may_v distinguish_v all_o the_o wind_n in_o your_o card_n otherwise_o if_o you_o please_v by_o place_v a_o circle_n contain_v the_o same_o in_o some_o void_a place_n in_o your_o plat_n as_o you_o may_v see_v in_o the_o 7_o chapter_n of_o the_o topographicall_a glass_n and_o draw_v they_o forth_o only_o to_o touch_v the_o circumference_n of_o the_o plat_n as_o in_o the_o 6_o book_n and_o chapter_n 49_o of_o geodetia_n chap._n lxxx_o the_o order_n how_o to_o discover_v the_o true_a plat_n of_o any_o park_n forest_n or_o such_o like_a stand_v upon_o the_o top_n of_o some_o hill_n not_o approach_v unto_o the_o same_o this_o chapter_n be_v easy_o perform_v if_o you_o do_v but_o call_v to_o mind_n how_o to_o seek_v the_o true_a proportion_n of_o any_o field_n island_n or_o such_o like_a even_o as_o you_o be_v teach_v in_o the_o chapter_n but_o indeed_o i_o hold_v this_o chapter_n for_o that_o it_o be_v to_o be_v perform_v only_o by_o two_o station_n
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 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