Selected quad for the lemma: hand_n

Word A Word B Word C Word D Occurrence Frequency Band MI MI Band Prominent
hand_n left_a right_a turn_v 28,868 5 7.6673 4 true
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ID Title Author Corrected Date of Publication (TCP Date of Publication) STC Words Pages
A03653 Speculum topographicum: or The topographicall glasse Containing the vse of the topographicall glasse. Theodelitus. Plaine table, and circumferentor. With many rules of geometry, astronomy, topography perspectiue, and hydrography. Newly set forth by Arthur Hopton Gentleman. Hopton, Arthur, 1587 or 8-1614. 1611 (1611) STC 13783; ESTC S104220 122,586 206

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23_o 2_o 29_o 38_o 2_o 17_o 2_o 21_o 2_o 27_o 39_o 2_o 15_o 2_o 19_o 2_o 25_o 40_o 2_o 13_o 2_o 18_o 2_o 23_o 41_o 2_o 11_o 2_o 16_o 2_o 21_o 42_o 2_o 0_o 2_o 14_o 2_o 19_o 43_o 2_o 7_o 2_o 12_o 2_o 17_o 44_o 2_o 5_o 2_o 9_o 2_o 15_o 45_o 2_o 3_o  _fw-fr 7_o 2_o 12_o 46_o 2_o 1_o 2_o 5_o 2_o 10_o 47_o 1_o 59_o 2_o 3_o 2_o 8_o 48_o 1_o 57_o 2_o 0_o 2_o 5_o 49_o 1_o 55_o 1_o 58_o 2_o 3_o 50_o 1_o 52_o 1_o 56_o 2_o 0_o 51_o 1_o 50_o 1_o 54_o 1_o 58_o 52_o 1_o 47_o 1_o 51_o 1_o 55_o 53_o 1_o 45_o 1_o 48_o 1_o 52_o 54_o 1_o 43_o 1_o 46_o 1_o 50_o 55_o 1_o 40_o 1_o 43_o 1_o 47_o 56_o 1_o 38_o 1_o 41_o 1_o 45_o 57_o 1_o 35_o 1_o 39_o 1_o 42_o 58_o 1_o 33_o 1_o 36_o 1_o 39_o 59_o 1_o 32_o 1_o 33_o 1_o 36_o 60_o 1_o 30_o 1_o 30_o 1_o 33_o 61_o 1_o 25_o 1_o 28_o 1_o 31_o 62_o 1_o 22_o 1_o 25_o 1_o 28_o 63_o 1_o 29_o 1_o 22_o 1_o 25_o 64_o 1_o 29_o 1_o 22_o 1_o 25_o 65_o 1_o 13_o 1_o 16_o 1_o 19_o 66_o 1_o 10_o 1_o 14_o 1_o 17_o 67_o 1_o 80_o 1_o 11_o 1_o 14_o 68_o 1_o 5_o 1_o 8_o 1_o 11_o 69_o 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i_o be_o ignorant_a what_o number_n of_o yard_n be_v contain_v in_o those_o 11_o part_n i_o fly_v to_o the_o rule_n of_o proportion_n say_v thus_o if_o 18_o yield_v 300_o yard_n what_o shall_v 10_o yield_n 183_o and_o 2_o 4_o old_a ⅓_n therefore_o multiply_v 300_o by_o 11_o so_o have_v you_o 3300_o which_o divide_v by_o 18_o so_o have_v you_o 183_o 2_o 6_o which_o be_v 1_o ●_o make_o a_o foot_n whereby_o i_o may_v conclude_v that_o between_o a_o and_o b_o be_v contain_v 183_o pace_n and_o one_o soot●_n thus_o of_o all_o the_o other_o as_o well_o do_v a_o d_o b_o d_o c_o or_o m_o c_o m_o b_o m_z a_o as_o c_o b_o or_o c_o a._n chap._n viii_o how_o to_o take_v the_o true_a plat_n of_o a_o small_a island_n that_o be_v encompass_v with_o some_o river_n or_o of_o any_o piece_n of_o ground_n subject_n to_o the_o sight_n that_o lie_v in_o such_o order_n that_o you_o can_v have_v access_n unto_o the_o same_o by_o reason_n of_o marsh_n fen_n or_o such_o like_a impediment_n this_o chapter_n be_v right_a necessary_a as_o well_o for_o the_o act_n of_o geodetia_n and_o measure_v ground_n as_o for_o cosmographer_n and_o such_o like_a let_v therefore_o a_o b_o c_o d_o e_o f_o be_v a_o piece_n of_o ground_n shut_v up_o within_o a_o marsh_n or_o river_n in_o such_o sort_n that_o you_o can_v approach_v to_o the_o same_o to_o measure_v it_o as_o the_o common_a ●●der_n be_v you_o shall_v therefore_o seek_v out_o some_o such_o place_n as_o g_o far_a without_o the_o say_v péete_a of_o ground_n from_o whence_o you_o may_v view_v all_o the_o angle_n and_o corner_n therein_o and_o there_o as_o at_o g_o observe_v all_o the_o angle_n as_o you_o do_v at_o the_o first_o station_n in_o the_o last_o chapter_n and_o so_o seek_v one_o a_o second_o station_n as_o h_z and_o thence_o observe_v all_o these_o angle_n as_o the_o order_n be_v and_o as_o you_o may_v plain_o perceive_v by_o the_o concourse_n of_o the_o line_n at_o both_o station_n as_o g_o f_o g_o a_o g_o e_o g_o d_o g_o c_o g_o b_o and_z h_z a_o h_o f_o h_o ●_o h_o d_o h_o ●_o h_o b_o i_o need_v not_o many_o word_n and_o therefore_o proceed_v therein_o as_o you_o do_v in_o the_o last_o chapter_n so_o shall_v a_o f_o f_o c_o e_o d_o d_o c_o c_o b_o and_z b_o a_o be_v the_o true_a bound_n of_o the_o field_n to_o do_v this_o proposition_n without_o calculation_n appoint_v your_o first_o station_n g_o in_o a_o know_a distante_n from_o your_o second_o station_n h_z as_o ten_o score_n and_o when_o you_o come_v to_o protract_v do_v not_o set_v the_o say_v two_o stallion_n g●and_v h_o down_o at_o random_n as_o i_o teach_v you_o in_o the_o three_o chapter_n but_o appoint_v their_o distance_n by_o your_o stale_a according_a to_o the_o true_a measure_n ten_o score_n or_o 200._o yard_n even_o as_o you_o find_v it_o in_o the_o field_n then_o protract_v the_o angle_n at_o both_o station_n and_o note_v their_o intersection_n as_o you_o be_v wont_a which_o do_v if_o you_o desire_v the_o distance_n of_o any_o angle_n or_o corner_n as_o of_o f_o e_o apply_v the_o length_n of_o that_o time_n unto_o the_o scale_n that_o you_o set_v g_o h_z by_o so_o shall_v you_o find_v f_o e_z 12._o score_n in_o the_o same_o order_n without_o arithmetic_n may_v you_o measure_v the_o line_n a_o f_o e_o d_o d_o c_o c_o b_o and_z b_o a_o which_o be_v all_o the_o bound_n of_o the_o field_n after_o the_o same_o order_n may_v you_o mete_v g_o f_o g_o a_o g_o e_o g_o d_o g_o c_o g_o b_o or_o h_z a_o h_o f_o h_z e_z h_o c_o h_o d_o h_z b_o or_o any_o cross_a line_n over_o the_o field_n for_o the_o cast_n up_o of_o the_o content_n as_o f_z d_o f_o c_o f_o b_o or_o a_o d_o a_o c_o etc._n etc._n in_o the_o same_o order_n may_v you_o perform_v this_o chapter_n by_o the_o geodeticall_a staff_n and_o by_o other_o instrument_n which_o be_v over_o tedious_a to_o repeat_v in_o the_o use_n of_o every_o instrument_n and_o therefore_o i_o be_o to_o supply_v that_o in_o one_o which_o be_v want_v in_o another_o which_o be_v know_v you_o may_v use_v in_o any_o chap._n ix_o to_o take_v a_o plat_n at_o one_o station_n by_o the_o theodelitus_n this_o chapter_n be_v not_o necessary_a for_o the_o set_n forth_o of_o great_a continent_n station_n to_o take_v a_o plat_n at_o one_o station_n but_o if_o you_o will_v use_v it_o in_o plat_v of_o field_n repair_n into_o some_o place_n whence_o you_o may_v observe_v all_o the_o angle_n and_o towards_o the_o first_o angle_n upon_o the_o left_a hand_n direct_v the_o index_n be_v place_v upon_o the_o diameter_n where_o the_o degree_n do_v take_v beginning_n the_o planisphere_n or_o
 _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 describe_v a_o other_o such_o circle_n as_o before_o and_o note_v the_o large_a the_o circle_n be_v the_o better_a it_o be_v i_o do_v upon_o f_o and_o from_o this_o centre_n g_o pull_v straight_o line_n by_o the_o degree_n note_v in_o the_o second_o table_n now_o note_v the_o intersection_n of_o matchy_a line_n that_o be_v where_o the_o line_n of_o ludlow_n issue_v from_o f_o meet_v with_o the_o line_n of_o ludlow_n run_v from_o g_o &_o there_o make_v a_o mark_n thus_o ☉_o &_o thus_o prosecute_a the_o like_a in_o the_o rest_n always_o set_v a_o mark_n upon_o the_o concourse_n of_o correspondent_a right_a line_n all_o other_o intersection_n not_o respect_v i_o have_v situate_v all_o these_o place_n in_o due_a proportion_n note_v they_o with_o these_o letter_n to_o avoid_v here_o and_o else_o where_o often_o repetition_n of_o their_o name_n and_o now_o last_o to_o get_v the_o distance_n between_o every_o of_o they_o divide_v the_o line_n f_o g_o into_o 9_o equal_a part_n for_o so_o many_o mile_n by_o mensuration_n i_o find_v between_o my_o two_o station_n the_o cordocke_n for_o the_o wrekin_fw-mi then_o by_o my_o compass_n i_o see_v how_o many_o of_o these_o 9_o part_n be_v contain_v betwixt_o any_o two_o place_n who_o distance_n be_v require_v &_o so_o many_o mile_n may_v you_o conclude_v the_o distance_n of_o those_o two_o place_n if_o i_o have_v describe_v place_n both_o without_o the_o county_n of_o salop_n as_o montgomery_n and_o bewdley_n and_o without_o the_o compass_n of_o our_o horizon_n as_o whitchurch_n etc._n etc._n they_o be_v set_v down_o because_o you_o shall_v have_v plenty_n of_o example_n not_o thrust_v together_o here_o follow_v for_o more_o liveliness_n the_o distance_n of_o every_o place_n in_o this_o map_n from_o the_o town_n of_o salop_n the_o rest_n you_o may_v gather_v by_o your_o scale_n in_o the_o same_o manner_n  _fw-fr  _fw-fr mile_n bridgnorth_n ah_o be_v distant_a from_o shrewsbury_n 10¾_n bewdley_n ai_fw-fr  _fw-fr 22_o 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 espy_v some_o other_o mountain_n to_o who_o sumunity_n the_o view_n of_o all_o the_o foresay_a adjacent_a town_n be_v subject_a this_o so_o do_v make_v the_o first_o hill_n a_o centre_n and_o the_o other_o a_o term_n of_o one_o of_o the_o side_n of_o every_o angle_n and_o so_o with_o your_o instrument_n by_o the_o 25_o chap._n or_o any_o other_o instrument_n take_v the_o true_a quantity_n of_o the_o angle_n that_o every_o town_n make_v with_o these_o two_o hill_n and_o note_v the_o same_o down_o in_o some_o table_n book_n this_o so_o do_v get_v to_o the_o next_o hill_n and_o there_o again_o observe_v in_o like_a manner_n the_o quantity_n of_o every_o angle_n even_o upon_o this_o hill_n as_o you_o do_v upon_o the_o forny_a final_o get_v the_o true_a distance_n betwixt_o the_o top_n of_o the_o two_o hill_n so_o have_v you_o a_o line_n know_v and_o two_o angle_n know_v situate_a at_o the_o end_n of_o a_o line_n know_v whereby_o get_v the_o other_o angle_n with_o the_o two_o line_n unknown_a and_o then_o place_v every_o town_n in_o his_o due_a place_n as_o you_o shall_v be_v better_o teach_v in_o the_o example_n example_n suppose_v i_o ascend_v to_o the_o top_n of_o stretton_n hill_n which_o be_v certain_a lofty_a mountain_n in_o salop_n may_v view_v all_o the_o adjacent_a town_n set_v down_o in_o the_o ensue_a map_n and_o withal_o another_o hill_n call_v the_o wrekin_n from_o who_o top_n also_o i_o may_v well_o command_v the_o view_n of_o all_o the_o foresay_a town_n now_o first_o i_o place_v my_o topographicall_a glass_n at_o a_o and_o then_o view_v round_o about_o i_o see_v my_o eye_n apprehend_v shrewsbury_n situate_a upon_o the_o left_a hand_n therefore_o i_o observe_v the_o angle_n g_o a_fw-fr b_o by_o the_o 25_o chap._n and_o so_o i_o proceed_v to_o oswestree_n take_v the_o angle_n f_o a_fw-fr b_o and_o so_o proceed_v round_o about_o note_v the_o quantity_n of_o each_o several_a angle_n as_o follow_v a_o b_o be_v always_o the_o one_o side_n  _fw-fr  _fw-fr  _fw-fr grad_n mi._n  _fw-fr shrewsbury_n gab_n 46_o 0_o  _fw-fr oswestree_n fab_n 74_o 0_o angle_n observe_v at_o stretton_n hill_n welsh-pole_n eab_n 108_o 0_o  _fw-fr mont-gomery_a dab_n 124_o 0_o  _fw-fr clun_n cab_n 168_o 0_o these_o angle_n so_o observe_v and_o note_v i_o bear_v my_o glass_n to_o the_o wrekin_fw-mi hill_n where_o plant_v the_o same_o make_v the_o first_o degree_n in_o the_o periphere_n of_o the_o planisphere_n point_fw-fr just_a to_o a_o the_o instrument_n so_o fix_v view_v about_o i_o espy_v clun_n to_o which_o i_o make_v the_o alhidada_n point_n and_o so_o by_o the_o say_v 25_o chap._n get_v the_o angle_n c_o b_o a_o 4_o deg_fw-la in_o like_a manner_n i_o proceed_v rightward_n until_o i_o have_v finish_v as_o i_o do_v at_o b_o and_o thereby_o do_v i_o collect_v a_o table_n as_o follow_v  _fw-fr  _fw-fr  _fw-fr deg._n mi._n  _fw-fr clun_n cba_n 4_o 0_o  _fw-fr mont-gomery_a dba_n 24_o 15_o angle_n observe_v upon_o the_o wrekin_n welsh-pole_n eba_n 38_o 0_o  _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 one_o side_n give_v but_o if_o you_o will_v make_v experience_n of_o the_o height_n of_o hill_n only_o by_o a_o level_a your_o best_a way_n be_v to_o find_v out_o a_o three_o hill_n alike_o or_o near_o a_o like_a distance_n from_o both_o the_o other_o hill_n &_o so_o may_v you_o more_o true_o judge_v of_o both_o their_o height_n and_o also_o of_o the_o difference_n thereof_o from_o the_o top_n of_o that_o hill_n even_o as_o you_o be_v direct_v by_o your_o line_n of_o level_a parallel_n to_o the_o horizon_n chap._n xxiiii_o to_o know_v if_o water_n will_v run_v unto_o any_o appoint_a place_n if_o you_o desire_v to_o know_v if_o water_n will_v be_v bring_v from_o any_o spring_n head_n unto_o any_o appoint_a place_n you_o be_v first_o to_o consider_v how_o and_o in_o what_o you_o mean_v to_o bring_v it_o that_o be_v either_o by_o trench_n and_o gutter_n or_o in_o pipe_n of_o lead_n or_o such_o like_a for_o those_o water_n that_o will_v come_v in_o pipe_n of_o lead_n will_v not_o also_o come_v in_o gutter_n because_o the_o pipe_n may_v bring_v the_o water_n into_o a_o valley_n and_o so_o convey_v the_o same_o again_o up_o over_o the_o top_n of_o any_o hill_n be_v not_o high_a than_o the_o original_a spring_n yea_o if_o it_o be_v high_a even_o though_o you_o shall_v fetch_v it_o at_o the_o bottom_n of_o a_o hill_n upon_o the_o one_o side_n and_o bring_v it_o over_o the_o top_n of_o the_o say_a hill_n as_o low_a upon_o the_o other_o side_n for_o if_o you_o once_o can_v set_v it_o run_v it_o will_v never_o cease_v until_o the_o pipe_n be_v burst_v or_o all_o the_o water_n spend_v the_o reason_n be_v because_o non_fw-la potest_fw-la esse_fw-la vacuum_fw-la in_o rerum_fw-la natura_fw-la and_o for_o a_o familiar_a example_n take_v a_o number_n of_o quill_n cut_v off_o at_o both_o end_n and_o join_v they_o close_o together_o with_o wax_n in_o a_o circular_a fashion_n and_o put_v the_o one_o end_n thereof_o into_o a_o vessel_n that_o have_v water_n in_o the_o bottom_n let_v the_o other_o hang_v over_o the_o vessel_n brim_n the_o low_a the_o better_o it_o suffice_v if_o so_o the_o one_o end_n of_o the_o quill_n be_v as_o low_o as_o the_o other_o now_o if_o with_o your_o breath_n you_o draw_v the_o water_n into_o your_o mouth_n through_o these_o quill_n and_o so_o take_v your_o mouth_n thence_o the_o water_n will_v run_v through_o the_o say_a quill_n until_o all_o be_v spend_v in_o the_o vessel_n and_o this_o experience_n confirm_v their_o opinion_n well_o that_o say_v aqua_fw-la ascendit_fw-la quantum_fw-la descendit_fw-la but_o to_o know_v if_o water_n will_v come_v in_o pipe_n after_o the_o ordinary_a fashion_n to_o any_o appoint_a place_n you_o must_v first_o know_v that_o the_o ground_n whereupon_o the_o pipe_n lie_v must_v be_v low_a at_o every_o mile_n end_n by_z 4_o ½_n inch_n than_o it_o be_v at_o the_o spring_n head_n which_o consider_v plant_v your_o glass_n at_o the_o spring_n head_n so_o that_o the_o diameter_n of_o the_o demicircle_n lie_v parallel_n to_o the_o horizon_n and_o equal_a in_o height_n to_o the_o head_n of_o the_o spring_n the_o two_o sight_n in_o the_o end_n of_o of_o the_o diameter_n look_v through_o the_o same_o to_o the_o place_n whither_o the_o water_n shall_v run_v take_v notice_n of_o what_o your_o eye_n apprehend_v through_o the_o sight_n for_o to_o that_o place_n will_v the_o water_n run_v abate_v 4_o ½_n inch_n for_o every_o mile_n the_o tower_n be_v distant_a from_o you_o but_o say_v there_o be_v certain_a hill_n betwixt_o the_o head_n of_o the_o spring_n and_o the_o place_n whereto_o the_o water_n shall_v run_v in_o such_o a_o case_n you_o must_v plant_v your_o glass_n at_o the_o head_n of_o the_o spring_n as_o before_o and_o look_v through_o the_o sight_n note_v some_o mark_n in_o the_o next_o hill_n towards_o the_o place_n then_o go_v unto_o that_o mark_n and_o if_o yet_o you_o can_v see_v to_o the_o place_n observe_v some_o other_o mark_n in_o a_o other_o hill_n and_o so_o forth_o until_o from_o the_o last_o mark_v you_o may_v perceive_v the_o appoint_a place_n in_o which_o make_v a_o note_n for_o abate_v as_o before_o the_o water_n will_v run_v thereunto_o example_n a_o be_v a_o place_n where_o water_n be_v find_v and_o the_o question_n be_v to_o know_v if_o it_o will_v be_v bring_v to_o the_o tower_n at_o b_o which_o be_v distant_a from_o a_o 4_o mile_n i_o plant_v my_o instrument_n therefore_o at_o c_o so_fw-mi that_o the_o diameter_n p_o q_o lie_v parallel_v and_o also_o equal_a in_o height_n to_o a_o the_o spring_n head_n then_o look_v through_o q_o p_o towards_o b_o i_o can_v see_v the_o same_o by_o reason_n of_o a_o certain_a hill_n that_o be_v betwixt_o i_o and_o b_o therefore_o i_o observe_v a_o mark_n in_o that_o hill_n through_o the_o sight_n as_o at_o c_o where_o again_o i_o plant_v my_o glass_n in_o some_o part_n of_o the_o hill_n so_o that_o the_o diameter_n of_o the_o semicircle_n lie_v parallel_v and_o in_o a_o equal_a height_n with_o the_o conduit_n head_n a_o the_o instrument_n thus_o plant_v look_v again_o through_o the_o sight_n towards_o the_o tower_n and_o for_o that_o there_o be_v no_o other_o hill_n betwixt_o your_o sight_n and_o the_o same_o therefore_o through_o the_o sight_n espy_v some_o mark_n in_o the_o tower_n as_o b_o which_o mark_n be_v just_a level_n with_o the_o spring_n head_n a_o to_o which_o place_n the_o water_n may_v be_v bring_v by_o pipe_n note_v that_o some_o hold_v pipe_n of_o earth_n bake_v to_o be_v better_a than_o lead_v and_o some_o hold_v pipe_n of_o alderwood_n fir_n pine_v tree_n of_o such_o wood_n that_o have_v rosin_n in_o it_o to_o be_v better_a than_o the_o former_a and_o if_o the_o ground_n lie_v reasonable_a level_n so_o that_o you_o convey_v the_o water_n by_o trench_n order_z the_o say_v trench_n so_o by_o help_n of_o a_o plumbe_v that_o the_o water_n may_v have_v currant_n 4_o ½_n inch_n at_o every_o mile_n end_n then_o fill_v the_o gutter_n with_o pebble_n stone_n a_o foot_n or_o more_o deep_a and_o upon_o they_o throw_v earth_n so_o will_v the_o water_n run_v more_o clear_a to_o the_o place_n appoint_v note_n last_o that_o it_o be_v best_o if_o you_o bring_v your_o water_n by_o pipe_n water_n what_o pipe_n be_v best_a to_o bear_v water_n to_o let_v it_o come_v by_o many_o crooked_a turn_n and_o sometime_o to_o fall_v direct_o downward_o and_o then_o again_o to_o rise_v by_o little_a and_o little_a &_o by_o this_o mean_v some_o think_v one_o may_v force_v the_o water_n issue_n to_o be_v above_o the_o head_n of_o the_o spring_n so_o that_o in_o pipe_n you_o shall_v not_o need_v the_o foresay_a abatement_n but_o now_o whereas_o in_o conveyance_n of_o water_n by_o this_o way_n whether_o it_o be_v water_n to_o house_n or_o new_a river_n sometime_o happy_o you_o shall_v meet_v with_o a_o deep_a valley_n out_o of_o which_o you_o can_v get_v the_o water_n by_o ditch_n and_o to_o find_v level_a ground_n you_o can_v without_o go_v a_o great_a compass_n and_o have_v find_v it_o happy_o can_v have_v liberty_n for_o to_o cut_v a_o trench_n through_o the_o same_o such_o a_o matter_n and_o such_o a_o difference_n i_o see_v in_o bring_v the_o new_a river_n from_o ward_n beware_v to_o london_n for_o remedy_n whereof_o if_o the_o flood_n be_v great_a you_o must_v erect_v arch_n in_o manner_n of_o a_o bridge_n 1609_o 1609_o which_o may_v extend_v itself_o over_o the_o valley_n even_o from_o the_o one_o bank_n to_o the_o other_o and_o if_o the_o water_n be_v but_o for_o a_o house_n post_n may_v serve_v to_o bear_v the_o same_o the_o like_a must_v you_o do_v if_o you_o meet_v with_o a_o river_n brook_n or_o such_o like_a m._n l._n do_v teach_v you_o how_o to_o solder_v your_o pipe_n of_o earth_n or_o wood_n &_o that_o be_v with_o unquenched_a lime_n and_o hogs-grease_n or_o with_o rosin_n and_o white_a of_o egg_n or_o with_o lime_n white_a of_o egg_n and_o fyling_n of_o iron_n chap._n xxv_o to_o take_v the_o quantity_n of_o any_o stationary_a angle_n by_o the_o topographicall_a glass_n you_o must_v put_v the_o index_n with_o the_o sight_n upon_o the_o diameter_n in_o the_o planisphere_n where_o the_o degr_fw-fr do_v take_v beginning_n note_v that_o a_o stationary_a angle_n be_v such_o a_o angle_n that_o have_v no_o respect_n to_o the_o needle_n but_o to_o the_o station_n the_o instrument_n then_o due_o plant_v upon_o his_o staff_n you_o shall_v move_v the_o planisphere_n the_o index_n fix_v as_o before_o until_o you_o espy_v through_o the_o sight_n the_o one_o mark_v upon_o your_o left_a hand_n and_o for_o hedge_n until_o the_o index_n lie_v parallel_n with_o the_o hedge_n the_o instrument_n so_o rest_v
convey_v the_o index_n with_o the_o sight_n unto_o the_o mark_n or_o hedge_n upon_o your_o right_a hand_n make_v the_o say_a index_n point_n to_o the_o mark_n or_o lie_v parallel_n to_o the_o hedge_n note_v then_o the_o degree_n cut_v by_o the_o fiducial_a edge_n of_o the_o index_n for_o that_o be_v the_o quantity_n of_o the_o angle_n this_o need_v no_o example_n chap._n xxvi_o the_o make_n of_o a_o protractor_n and_o scale_n take_v a_o fine_a thin_a and_o smooth_a piece_n of_o brass_n of_o what_o bigness_n you_o please_v whereon_o describe_v a_o demicircle_n as_o a_o b_o c_o upon_o the_o centre_n f_o which_v divide_v into_o 180_o equal_a part_n and_o so_o set_v figure_n thereunto_o as_o in_o the_o figure_n some_o use_n to_o make_v the_o like_a circle_n upon_o the_o other_o side_n the_o plate_n number_v therein_o the_o degree_n from_o 180_o to_o 360_o but_o that_o be_v needless_a now_o by_o the_o diameter_n of_o this_o circle_n a_o c_o the_fw-mi be_v make_v a_o scale_n according_a to_o 12_o in_o the_o inch_n furnish_v with_o parallel_n line_n and_o number_v with_o figure_n as_o the_o order_n be_v and_o as_o you_o may_v see_v in_o the_o figure_n at_o d_o e_o upon_o the_o back_n side_n the_o plate_n there_o be_v a_o other_o scale_n make_v according_a to_o 11_o part_n in_o the_o inch_n or_o you_o may_v make_v the_o scale_n d_o e_o according_a to_o 16_o part_n in_o the_o inch_n or_o more_o &_o then_o take_v 12_o of_o those_o part_n which_o divide_v into_o 11_o part_n &_o make_v a_o scale_n the_o use_n whereof_o you_o may_v plain_o see_v set_v down_o in_o my_o art_n of_o geodetia_n chap._n 53._o but_o the_o best_a scale_n be_v lib._n 5._o of_o the_o geodeticall_a staff_n chap_n 2._o where_o i_o treat_v of_o the_o jacobs_n staff_n you_o must_v note_v further_o that_o for_o angle_n of_o position_n the_o one_o halfa_n of_o the_o circle_n contain_v the_o east_n part_n of_o the_o horizon_n &_o the_o other_o the_o west_n the_o diameter_n of_o which_o circle_n common_a to_o both_o the_o demicircle_n be_v the_o meridian_n line_n or_o south_n and_o north_n point_v as_o in_o this_o figure_n chap._n xxvii_o to_o protract_v a_o angle_n and_o lay_v down_o the_o end_n thereof_o have_v learned_a to_o take_v the_o quantity_n of_o a_o angle_n by_o this_o glass_n it_o rest_v that_o you_o also_o learn_v how_o to_o protract_v the_o same_o and_o to_o lay_v down_o the_o side_n thereof_o upon_o paper_n by_o your_o ●cale_n and_o compass_v first_o therefore_o to_o protract_v a_o angle_n upon_o any_o point_n give_v you_o be_v to_o take_v the_o semidiameter_n of_o your_o protractor_n as_o f_z a_o 2._o this_o be_v perform_v with_o more_o ease_n and_o better_a in_o the_o 6_o book_n of_o geodetia_n cha._n 2._o and_o so_o place_v the_o one_o foo●e_v of_o your_o compass_n in_o g_o the_o point_n give_v with_o the_o other_o strike_v the_o portion_n of_o a_o circle_n h_o i_o k_o l_o now_o must_v you_o ●●te_v the_o quantity_n of_o the_o angle_n you_o be_v to_o protract_v which_o let_v d●_n 40_o degree_n place_n therefore_o the_o one_o foot_n in_o a_o in_o the_o protractor_n and_o extend_v the_o other_o to_o 50_o degree_n in_o the_o demicircle_n a_o b_o c_o the_o which_o wideness_n place_n in_o this_o circular_a base_a h_o i_o k_o so_fw-mi will_v the_o two_o point_n of_o your_o compass_n fall_v the_o one_o at_z h_z the_o other_o at_o ay_o final_o draw_v a_o line_n from_o i_o to_o g_o and_o from_o h_z to_o g_o i_o conclude_v i_z g_o h_o be_v a_o angle_n of_o 50_o degree_n but_o say_v you_o will_v draw_v a_o line_n by_o some_o degree_n beyond_o 180_o degr_n as_o by_o 230_o degree_n therefore_o you_o must_v take_v half_a 230_o degr_n &_o set_v that_o distance_n twice_o in_o the_o circular_a base_a viz._n 115_o set_v once_o there_o be_v h_o k_n which_o set_v twice_o there_o be_v h_z k_o l_o 230_o degree_n or_o deduct_v 230_o from_o 360_o so_o have_v you_o 130_o degree_n and_o so_o protract_v a_o angle_n the_o contrary_a way_n of_o 130_o degree_n as_o h_o m_o l_o so_fw-mi shall_v l_o cut_v 230_o degree_n or_o be_v distant_a from_o h_z in_o the_o circular_a base_a h_o i_o k_o l_o 230_o degree_n and_o if_o you_o be_v reg●●red_v to_o lay_v down_o the_o length_n of_o every_o side_n by_o your_o scale_n according_a as_o you_o find_v the_o same_o by_o measure_n first_o see_v what_o length_n h_o g_o shall_v be_v which_o let_v be_v 18_o perch_n therefore_o place_v the_o on●_n foot_n of_o your_o compass_n in_o d_o in_o your_o scale_n extend_v the_o other_o towards_o c_o as_o to_o 18_o t●at_a wideness_n of_o your_o comp●sse_a place_n in_o g_o h_o fromwards_o g_o towards_o h_z as_o to_z n_z i_o conclude_v g_o n_z i●_n 18_o perche_n do_v so_o to_o g_o i_o g_o k_o and_o g_o l_o so_fw-mi shall_v you_o find_v g_o o_fw-fr 12_o perche_n g_o k_o 24_o and_o g_o p_o 6_o perche_n so_o of_o any_o other_o chap._n xxviii_o to_o observe_v a_o angle_n of_o position_n and_o what_o it_o be_v as_o also_o to_o protract_v the_o same_o and_o to_o find_v upon_o what_o point_n of_o the_o compass_n any_o thing_n see_v in_o the_o horizon_n lie_v a_o angle_n of_o position_n be_v such_o a_o angle_n that_o be_v take_v in_o respect_n of_o the_o needle_n or_o in_o respect_n of_o the_o south_n point_n insomuch_o that_o the_o one_o side_n of_o every_o angle_n of_o position_n be_v the_o needle_n and_o the_o 02_o other_o the_o alhidada_n the_o common_a section_n of_o the_o term_n of_o which_o angle_n always_o concur_v upon_o the_o very_a extrée_n of_o the_o needle_n differ_v from_o stationary_a angle_n because_o they_o contain_v the_o number_n of_o degree_n betwixt_o any_o two_o object_n propose_v at_o every_o particular_a station_n assign_v and_o the_o angle_n of_o position_n the_o number_n of_o degree_n distant_a from_o the_o meridian_n to_o observe_v therefore_o a_o angle_n of_o position_n you_o must_v place_v the_o needle_n over_o his_o true_a line_n in_o the_o bottom_n of_o the_o box_n the_o planisphere_n there_o rest_v convey_v the_o alhidada_n with_o the_o sight_n to_o the_o mark_v assign_v note_v the_o degree_n cut_v in_o the_o planisphere_n for_o that_o be_v the_o angle_n of_o position_n whereby_o you_o may_v see_v that_o the_o angle_n of_o position_n be_v not_o limit_v respective_o according_a as_o he_o be_v right_a acute_a or_o obtuse_a but_o only_o do_v extend_v itself_o to_o any_o degree_n in_o the_o whole_a circle_n and_o therefore_o the_o term_n of_o these_o angle_n may_v rather_o be_v call_v line_n of_o position_n in_o respect_n of_o their_o situation_n and_o point_v into_o the_o several_a part_n of_o the_o horizon_n now_o to_o protract_v the_o say_v angle_n the_o difference_n be_v not_o any_o from_o the_o work_n in_o the_o last_o chapter_n only_o where_o you_o begin_v to_o protract_v call_v that_o point_n the_o south_n &_o so_o forward_o in_o the_o other_o quarter_n of_o the_o world_n according_a as_o you_o shall_v be_v direct_v by_o the_o letter_n sew_v upon_o the_o protractor_n signify_v south_n east_n west_n north._n and_o if_o you_o desire_v to_o know_v upon_o what_o point_n of_o the_o compass_n any_o thing_n see_v in_o the_o horizon_n lie_v have_v plant_v the_o glass_n as_o before_o so_o that_o the_o needle_n respect_v his_o due_a place_n turn_v the_o index_n the_o assign_a mark_n note_v among_o the_o wind_n the_o wind_n cut_v by_o the_o index_n for_o into_o that_o part_n of_o the_o horizon_n the_o thing_n lie_v all_o these_o need_n no_o example_n chap._n xxix_o to_o take_v the_o plat_n of_o any_o great_a champion_n field_n or_o such_o like_a consist_v of_o 1000_o or_o 1500_o acre_n or_o to_o take_v the_o plat_n of_o woodland_n and_o rough_a ground_n by_o the_o topographicall_a glass_n otherwise_o then_o in_o the_o eigth_n chapter_n such_o a_o proposition_n as_o this_o can_v be_v perform_v by_o one_o station_n in_o the_o midst_n of_o the_o field_n nor_o yet_o at_o two_o station_n by_o the_o intersection_n of_o like_a line_n because_o it_o be_v scarce_o possible_a to_o see_v all_o the_o angle_n at_o once_o from_o the_o say_a station_n either_o by_o reason_n of_o the_o long_a distance_n or_o by_o occasion_n of_o hill_n tree_n or_o such_o like_a therefore_o you_o must_v get_v the_o plat_n thereof_o by_o go_v round_o about_o the_o perimeter_n of_o the_o say_a field_n or_o wood_n and_o that_o you_o may_v do_v either_o by_o angle_n stationary_a or_o angle_n of_o position_n but_o the_o operation_n by_o angle_n of_o position_n be_v more_o troublesome_a and_o less_o certain_a therefore_o it_o shall_v be_v here_o omit_v to_o perform_v it_o therefore_o by_o angle_n stationary_a you_o must_v go_v unto_o one_o of_o the_o corner_n upon_o the_o utter_a side_n