Selected quad for the lemma: water_n

Word A Word B Word C Word D Occurrence Frequency Band MI MI Band Prominent
water_n earth_n sea_n see_v 4,259 5 3.9841 3 false
View all documents for the selected quad

Text snippets containing the quad

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

There are 7 snippets containing the selected quad. | View original text

you_o have_v any_o good_a geometrical_a instrument_n already_o sure_o also_o have_v thou_o the_o use_v thereof_o or_o if_o thou_o want_v here_o be_v thou_o instruct_v to_o make_v the_o same_o according_a to_o thy_o affection_n for_o i_o seek_v to_o tie_v none_o to_o my_o own_o particular_a humour_n then_o may_v i_o have_v refer_v they_o unto_o my_o geodeticall_a staff_n but_o happy_o some_o will_v say_v if_o there_o be_v sufficient_a instrument_n before_o than_o what_o need_v these_o new_a invention_n will_v we_o have_v our_o own_o wit_n more_o excellent_a than_o our_o predecessor_n of_o such_o and_o such_o like_a i_o familiar_o inquire_v if_o antiquity_n be_v only_a mistress_n of_o this_o faculty_n if_o modern_a wit_n may_v intimate_v or_o exhibit_v nought_o unto_o the_o world_n if_o we_o must_v only_o believe_v what_o be_v set_v down_o without_o contradiction_n shall_v that_o be_v so_o how_o far_o have_v this_o age_n be_v from_o the_o perfect_a idea_n of_o the_o art_n who_o excellency_n turn_v every_o heart_n after_o the_o same_o as_o the_o heliotropion_n after_o the_o sun_n into_o what_o a_o intricate_a labyrinth_n of_o confuse_a error_n have_v we_o run_v the_o most_o ancient_a philosopher_n be_v as_o contrary_a in_o their_o sect_n as_o erroneous_a in_o their_o opinion_n till_o time_n bring_v in_o truth_n truth_n knowledge_n and_o knowledge_n perfect_a understanding_n what_o a_o number_n of_o sect_n have_v we_o as_o catonians_n peripatitian_n academian_o and_o epicurian_n anaximander_n say_v the_o earth_n be_v like_o a_o column_n anaximenes_n flat_a leucippus_n like_o a_o drum_n democrite_n like_o a_o platter_n till_o thales_n demonstrate_v it_o to_o be_v round_o how_o gross_o do_v they_o differ_v about_o the_o tide_n some_o refer_v the_o cause_n to_o river_n fall_v from_o the_o mountain_n gaul_n enter_v the_o atlantic_a sea_n as_o tymeus_n some_o to_o a_o rise_n of_o certain_a water_n as_o plato_n some_o to_o the_o sun_n draw_v the_o wind_n upon_o the_o ocean_n which_o cause_v the_o atlantic_a sea_n to_o swell_v as_o heraclitus_n till_o pytheas_n demonstrate_v the_o cause_n to_o be_v in_o the_o increase_n and_o decrease_v of_o the_o moon_n whereby_o homer_n say_v i_o praise_v not_o my_o ancestor_n for_o their_o knowledge_n but_o for_o that_o they_o desire_v knowledge_n but_o shake_v off_o these_o old_a difference_n inquire_v of_o the_o commodity_n of_o the_o compass_n sea-card_n and_o new_a map_n &_o of_o many_o other_o devise_n &_o engine_n that_o have_v be_v late_o set_v forth_o more_o beneficial_a than_o any_o heretofore_o of_o which_o the_o old_a philosopher_n &_o mathematician_n be_v ignorant_a of_o &_o i_o think_v if_o they_o be_v live_v they_o will_v rejoice_v to_o see_v as_o among_o many_o i_o will_v remember_v g●l●risius_n astrolabe_n the_o mater_n whereof_o be_v excellent_a and_o a_o most_o art-like_a proiectment_n resemble_v the_o true_a lineament_n of_o the_o sphere_n and_o be_v now_o make_v perpetual_o famous_a with_o the_o edition_n of_o the_o rete_fw-la by_o our_o ingenious_a countryman_n m._n i._o blagra●e_n but_o my_o pen_n shall_v not_o be_v so_o much_o dismeasured_a to_o reprove_v ancient_a man_n to_o the_o end_n to_o draw_v the_o glory_n to_o they_o that_o be_v present_a have_v we_o live_v than_o we_o have_v know_v less_o than_o they_o and_o be_v they_o live_v now_o they_o will_v know_v more_o than_o we_o every_o thing_n have_v his_o time_n before_o it_o come_v to_o maturity_n neither_o do_v nature_n allot_v like_o time_n to_o every_o like_a action_n some_o thing_n grow_v to_o perfection_n in_o a_o moment_n when_o other_o require_v a_o month_n the_o bear_n bring_v forth_o in_o four_o week_n when_o the_o dolphin_n have_v near_o 40._o when_v one_o fruit_n fail_v another_o enter_v into_o season_n we_o must_v first_o invent_v next_o amend_v and_o last_o perfect_a the_o furtherance_n of_o which_o perfection_n it_o behove_v every_o lover_n of_o the_o science_n to_o cherish_v which_o be_v here_o free_o offer_v unto_o thy_o view_n though_o it_o may_v have_v be_v undertake_v i_o confess_v by_o some_o one_o of_o more_o experience_n but_o he_o that_o most_o can_v least_o will_n and_o he_o that_o worst_a may_v hold_v the_o candle_n else_o the_o world_n must_v walk_v in_o darkness_n there_o be_v many_o say_v the_o instrument_n be_v uncertain_a and_o this_o or_o that_o be_v better_a but_o none_o seek_v to_o reform_v the_o same_o &_o contrive_v one_o that_o shall_v do_v best_a the_o professor_n themselves_o cry_v out_o at_o the_o erro_n but_o seek_v no_o reformation_n of_o the_o fault_n so_o that_o it_o fare_v with_o this_o as_o in_o the_o civil_a action_n of_o the_o life_n every_o man_n curse_v excess_n yet_o none_o live_v temperate_o every_o man_n praise_v patience_n yet_o none_o will_v suffer_v every_o man_n blame_v sloth_n yet_o none_o will_v take_v pain_n every_o one_o exclaim_v on_o envy_n yet_o none_o leave_v emulate_v but_o to_o remit_v this_o and_o speak_v something_o of_o the_o application_n of_o instrument_n he_o than_o that_o will_v be_v see_v in_o the_o knowledge_n of_o geometrical_a instrument_n must_v learn_v by_o contemplation_n to_o frame_v his_o proposition_n and_o by_o action_n to_o manage_v his_o instrument_n for_o i_o know_v diverse_a great_a scholar_n deep_o see_v in_o the_o theorical_a part_n though_o in_o the_o active_a mere_a novice_n which_o be_v a_o cause_n that_o such_o so_o learned_a be_v never_o able_a to_o correct_v and_o amend_v many_o defect_n for_o as_o meditation_n cause_v ability_n to_o understand_v so_o action_n bring_v dexterity_n to_o perform_v because_o the_o event_n of_o the_o work_n be_v illustrate_v by_o a_o precise_a observation_n as_o the_o life_n of_o the_o proposition_n be_v illuminate_v by_o a_o plain_a demonstration_n for_o as_o point_v find_v line_n line_n surfoce_n and_o surface_v body_n so_o good_a instrument_n produce_v true_a observation_n true_a observation_n symmetricall_a figure_n and_o the_o superficial_a capacity_n of_o propose_a platform_n and_o as_o line_n bind_v figure_n so_o hedge_n bind_v enclosure_n and_o angle_n in_o the_o field_n be_v create_v by_o the_o meet_v of_o hedge_n as_o they_o be_v in_o figure_n by_o the_o section_n of_o line_n for_o you_o shall_v know_v that_o all_o instrument_n of_o what_o kind_n soever_o if_o they_o can_v observe_v the_o precise_a quantitity_n of_o the_o angle_n their_o work_n be_v erroneneous_a for_o though_o some_o instrument_n express_v the_o quantity_n of_o angle_n as_o the_o theodelitus_n etc._n etc._n and_o other_o regard_v not_o the_o quantity_n produce_v angle_n homogeneal_a as_o the_o plain_a table_n yet_o if_o you_o fail_v in_o the_o one_o or_o the_o other_o your_o conclusion_n be_v error_n for_o it_o be_v as_o great_a a_o absurdity_n if_o the_o angle_n homogeneal_a mechanical_a delineate_v upon_o the_o plain_a table_n prove_v heterogeneal_a and_o accord_v not_o symmetrial_o to_o the_o respondent_fw-la angle_n in_o the_o field_n as_o if_o with_o a_o graduated_a instrument_n you_o have_v false_o observe_v the_o quantity_n thereof_o and_o therefore_o it_o be_v childish_a vanity_n or_o at_o least_o self_n conceit_n to_o go_v about_o to_o prefer_v the_o plain_a table_n before_o a_o large_a graduated_a instrument_n and_o i_o be_o persuade_v all_o good_a geometrician_n will_v argue_v the_o same_o though_o i_o very_o believe_v it_o be_v possible_a to_o separate_v fire_n from_o heat_n or_o the_o earth_n from_o the_o centre_n at_o turn_v the_o obstinate_a will_n of_o the_o ignorant_a for_o use_n and_o custom_n have_v take_v such_o root_n in_o such_o that_o it_o will_v hardly_o be_v supplant_v it_o suffice_v they_o plain_a man_n to_o have_v a_o instrument_n for_o than_o they_o presume_v they_o be_v geometritian_n every_o horse_n be_v not_o bucephalus_n yet_o he_o may_v be_v be_v one_o a_o journey_n though_o he_o be_v long_o and_o lame_a in_o perform_v it_o and_o can_v hardly_o pass_v over_o a_o mountain_n but_o let_v every_o man_n use_v his_o will_n and_o so_o i_o will_v i_o here_o in_o say_v no_o more_o at_o this_o time_n only_o wish_v myself_o present_a to_o open_v any_o thing_n that_o the_o young_a practizer_n shall_v doubt_v of_o from_o my_o lodging_n this_o 9_o of_o april_n 1611._o arthur_fw-fr hopton_n the_o author_n to_o the_o reader_n concern_v the_o topographicall_a glass_n come_v you_o who_o eye_n stand_v not_o in_o envious_a head_n who_o tongue_n with_o critic_n humour_n be_v not_o feed_v and_o in_o this_o glass_n unto_o your_o comfort_n view_n such_o needful_a work_n that_o much_o may_v profit_v you_o the_o ground_n of_o art_n have_v bring_v it_o forth_o for_o thou_o which_o we_o have_v suck_v from_o famous_a geometry_n with_o theorm_n mix_a and_o demonstration_n rare_a such_o as_o in_o hiddan_n proposition_n be_v here_o be_v no_o vain_a show_n illusion_n have_v no_o place_n no_o spirit_n confine_v no_o hateful_a paint_a face_n no_o eye-deceiving_a
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
chapter_n i_o deduct_v 20._o from_o 43._o so_o have_v i_o 23._o remain_v by_o which_o your_o line_n stationary_a a_o c_o 129._o yard_n must_v be_v augment_v so_o have_v i_o 2967._o which_o i_o part_v by_o 60._o so_o be_v my_o quotient_a 49_o 2_o 6_o 9_o 6_o yard_n the_o length_n of_o b_o z._n and_o if_o your_o station_n be_v at_o d_o and_o the_o one_o section_n make_v at_o n_z fall_v out_o in_o the_o right_a side_n o_o s_o and_o the_o other_o at_o with_o in_o the_o left_a side_n s_o p_o and_o you_o require_v to_o deliver_v the_o say_a distance_n b_o z_o then_o must_v you_o work_v according_a unto_o the_o 3._o difference_n of_o this_o chapter_n i_o do_v prosecute_v the_o first_o difference_n with_o a_o example_n for_o that_o neither_o of_o the_o section_n will_v be_v make_v in_o the_o right_a part_n unless_o you_o stand_v near_o to_o the_o base_a of_o the_o altitude_n than_o the_o length_n of_o the_o altitude_n itself_o that_o be_v unless_o the_o altitude_n be_v great_a than_o your_o distance_n from_o the_o base_a otherwise_o get_v the_o three_o angle_n of_o the_o triangle_n b_o d_o c_o thus_o observe_v the_o angle_n b_o d_o ah_o which_o take_v from_o 90._o for_o that_o b_o a_o d_o be_v a_o right_a angle_n so_o have_v you_o a_o b_o d_o then_o take_v the_o angle_v b_o d_o c_o which_o add_v to_o a_o b_o d_o taking_z the_o total_a from_o 180_o so_o have_v you_o the_o angle_n b_o c_o d_o by_o the_o 7.60_o of_o the_o geodeticall_a staff_n chap._n 1._o p._n 21._o this_o have_v get_v the_o line_n c_o a_o or_o a_o d_o &_o then_o protract_v as_o in_o the_o 28._o chapter_n or_o work_v as_o in_o the_o 32._o chapter_n comp._n 3._o in_o the_o end_n thereof_o or_o as_o in_o my_o 7._o book_n of_o trigonometria_fw-la chap._n xxiii_o to_o know_v how_o much_o one_o hill_n or_o mountain_n do_v exceed_v a_o other_o in_o height_n this_o matter_n be_v not_o so_o easy_o perform_v as_o many_o ordinary_o think_v it_o to_o be_v for_o to_o seek_v how_o much_o one_o hill_n be_v high_a than_o another_o be_v not_o to_o stand_v upon_o the_o top_n of_o one_o of_o the_o hill_n and_o by_o your_o instrument_n find_v whether_o the_o other_o be_v high_o or_o low_a than_o the_o level_a of_o your_o eye_n as_o in_o the_o 19_o chapter_n and_o so_o to_o judge_v he_o high_o or_o low_a than_o the_o hill_n you_o be_v one_o but_o he_o that_o will_v know_v how_o much_o one_o hill_n do_v exceed_v another_o in_o height_n must_v find_v how_o much_o both_o of_o the_o summity_n of_o each_o hill_n be_v distant_a from_o the_o centre_n of_o the_o earth_n or_o at_o least_o how_o much_o either_o of_o their_o perpendicular_a altitude_n exceed_v the_o semidiameter_n of_o the_o earth_n for_o the_o lesser_a of_o this_o excess_n take_v from_o the_o great_a leave_v the_o difference_n of_o the_o mountain_n perpendicular_a altitude_n for_o you_o must_v imagine_v what_o hill_n soever_o you_o stand_v upon_o behold_v another_o adjacent_a mountain_n 20._o or_o 30._o mile_n distant_a which_o albeit_o that_o hill_n you_o behold_v be_v equal_a in_o height_n with_o that_o whereon_o you_o stand_v yet_o shall_v he_o not_o seem_v so_o nor_o fall_v out_o to_o be_v so_o be_v prove_v with_o a_o instrument_n or_o line_n of_o level_n for_o that_o where_o you_o stand_v be_v always_o the_o uppermost_a place_n the_o other_o hill_n be_v situate_a as_o it_o be_v upon_o the_o side_z of_o the_o earth_n which_o we_o may_v prove_v by_o a_o philosophical_a axiom_n omne_fw-la grave_n fertur_fw-la deorsum_fw-la ad_fw-la centrum_fw-la ubi_fw-la quiescit_fw-la insomuch_o that_o if_o you_o travel_v about_o the_o earth_n with_o a_o line_n and_o plumbe_v at_o the_o end_n thereof_o the_o plumbe_v will_v always_o point_v towards_o the_o centre_n so_o that_o the_o excess_n of_o any_o mountain_n altitude_n above_o the_o superficial_a convexity_n of_o the_o earth_n be_v alter_v in_o respect_n of_o our_o sight_n according_a to_o the_o position_n of_o the_o place_n and_o therefore_o when_o you_o be_v ask_v concern_v the_o height_n of_o two_o hill_n you_o must_v know_v whether_o they_o mean_v in_o respect_n of_o the_o position_n of_o the_o hill_n according_a to_o the_o apprehension_n of_o your_o sight_n or_o in_o respect_n of_o the_o swell_v of_o the_o same_z above_o the_o true_a convexity_n of_o the_o earth_n for_o you_o must_v understand_v that_o the_o earth_n be_v imagine_v to_o be_v round_o as_o a_o globe_n and_o so_o by_o some_o it_o be_v think_v that_o it_o be_v at_o the_o first_o creation_n and_o that_o these_o mountain_n and_o hill_n be_v since_o make_v at_o noah_n flood_n by_o the_o rage_a of_o the_o water_n which_o force_v stone_n tree_n and_o earth_n upon_o diverse_a heap_n and_o thereby_o do_v irregulate_v the_o globous_a body_n of_o the_o earth_n the_o which_o albeit_o be_v compare_v to_o the_o sphere_n in_o in_o the_o heaven_n by_o the_o consent_n of_o most_o philosopher_n be_v but_o as_o a_o point_n have_v no_o sensible_a magnitude_n yet_o to_o we_o that_o inhabit_v upon_o the_o superficies_n of_o the_o same_o the_o very_a hill_n have_v a_o apparent_a and_o great_a magnitude_n elevate_n themselves_o above_o the_o true_a circuit_n of_o the_o earth_n and_o as_o these_o hill_n be_v much_o above_o the_o true_a superficies_n of_o the_o earth_n circular_a convexily_n so_o be_v it_o not_o to_o be_v doubt_v but_o that_o many_o valley_n fall_v within_o and_o low_a than_o the_o say_v circular_a convexity_n so_o that_o sometime_o we_o may_v be_v distant_a more_o than_o the_o earth_n semidiameter_n from_o the_o centre_n as_o be_v upon_o a_o mountain_n and_o sometime_o less_o as_o in_o some_o kind_n of_o deep_a valley_n all_o which_o you_o shall_v be_v teach_v to_o ●●nde_v and_o prove_v by_o the_o ensue_a demonstration_n to_o perform_v what_o be_v say_v before_o you_o must_v ascend_v unto_o the_o top_n of_o one_o of_o the_o propose_a hill_n which_o let_v be_v b_o let_v the_o other_o hill_n be_v c_o and_o you_o desire_v to_o tell_v which_o of_o the_o top_n of_o the_o hill_n be_v the_o high_a that_o be_v whether_o b_o or_o c_o be_v further_a distant_a from_o a_o the_o centre_n of_o the_o earth_n be_v therefore_o at_o b_o by_o some_o instrument_n describe_v in_o this_o book_n get_v the_o angle_n c_o b_o a_o 87_o degree_n then_o must_v you_o go_v to_o the_o hill_n c_o and_o there_o again_o get_v the_o angle_n b_o c_o a_o 74._o degree_n and_o so_o add_v these_o two_o angle_n together_o you_o have_v 161._o which_o take_v from_o 180._o leave_v 19_o the_o angle_n c_o a_fw-fr b_o make_v at_o the_o centre_n of_o the_o earth_n have_v these_o three_o angle_n get_v their_o sign_n and_o final_o the_o distance_n of_o the_o two_o hill_n c_o b_o so_o have_v you_o a_o line_n know_v and_o three_o angle_n know_v and_o thereby_o as_o you_o be_v often_o teach_v get_v the_o side_n a_o c_o and_o a_o b_o which_o note_n for_o look_v which_o be_v the_o great_a and_o that_o hill_n may_v you_o conclude_v the_o high_a which_o here_o be_v c_o a._n now_o to_o get_v the_o height_n of_o b_o or_o c_o above_o the_o true_a circular_a convexity_n of_o the_o earth_n subtract_v 34364_o 11._o from_o the_o live_n b_o a_o so_o have_v you_o the_o height_n of_o the_o hill_n b_o d_o four_o score_n do_v so_o to_o c_o a_o so_o for_o example_n sake_n have_v you_o the_o height_n of_o the_o hill_n c_o e_o seven_o score_n above_o the_o true_a circular_a convexity_n of_o the_o earth_n if_o you_o seek_v how_o much_o the_o one_o hill_n be_v high_a than_o the_o other_o then_z take_z b_o d_o 4_o from_z c_o e_z 7_o so_o have_v you_o three_o score_n and_o so_o much_o be_v the_o hill_n c_o e_o high_o then_o b_o d._n and_o here_o it_o be_v apparent_a that_o if_o you_o stand_v at_o b_o and_o by_o a_o line_n of_o level_a look_n towards_o c_o your_o sight_n will_v run_v to_o f_o above_o c_o so_fw-mi that_o the_o low_a hill_n by_o this_o mean_n will_v seem_v the_o high_a for_o you_o must_v note_v that_o every_o line_n of_o level_n do_v make_v right_a angle_n with_o the_o perpendicular_a and_o every_o perpendicular_a point_v to_o the_o centre_n of_o the_o earth_n as_o you_o may_v perceive_v in_o the_o figure_n for_o b_o a_o be_v a_o perpendicular_a make_v right_a angle_n with_o f_o b_o the_o line_n of_o ●evell_n on_o the_o other_o side_n standing_z at_z c_o you_o shall_v see_v the_o line_n of_o level_v c_o g_o run_v far_o above_o b_o and_o by_o this_o mean_v you_o may_v seek_v the_o altitude_n and_o difference_n of_o altitude_n of_o hill_n which_o otherwise_o be_v difficult_a to_o be_v find_v this_o chapter_n may_v fine_o be_v perform_v by_o your_o staff_n for_o that_o you_o have_v three_o angle_n
come_v unto_o the_o 26_o day_n i_o end_v with_o the_o number_n of_o 12_o whereby_o i_o conclude_v the_o sun_n be_v in_o the_o 12_o degree_n of_o scorpio_n so_o of_o any_o other_o here_o the_o loss_n of_o a_o day_n do_v nothing_o hinder_a chap._n xlii_o to_o find_v the_o hour_n of_o the_o night_n by_o the_o tpographicall_a glass_n and_o to_o know_v the_o time_n of_o high_a water_n and_o also_o the_o place_n of_o the_o sun_n or_o moon_n see_v in_o any_o ordinary_a sun_n dial_n what_o of_o the_o clock_n the_o shadow_n of_o the_o moon_n yield_v then_o turn_v the_o index_n that_o be_v mark_v with_o f_o unto_o the_o say_a hour_n in_o the_o planispheare_n which_o so_o rest_v seek_v the_o age_n of_o the_o moon_n in_o the_o circle_n whereto_o the_o index_n be_v fix_v for_o the_o hour_n line_n in_o the_o innermost_a circle_n in_o the_o planispheare_n pass_v by_o the_o say_a age_n of_o the_o moon_n be_v the_o true_a hour_n of_o the_o night_n so_o likewise_o do_v the_o hour_n line_n and_o the_o foresay_a index_n show_v upon_o what_o point_n of_o the_o compass_n the_o sun_n and_o moon_n then_o be_v and_o the_o number_n of_o point_n include_v betwixt_o the_o say_a hour_n line_n and_o index_n acquaint_v you_o with_o the_o distance_n of_o the_o sun_n and_o moon_n which_o the_o circle_n in_o the_o peripher_n express_v in_o degree_n and_o minute_n which_o be_v more_o than_o be_v propose_v to_o know_v the_o tide_n or_o high_a water_n by_o the_o topographicall_a glass_n seek_v as_o hereafter_o what_o rombe_n or_o wind_n make_v a_o full_a sea_n at_o the_o propose_a place_n and_o then_o learn_v the_o age_n of_o the_o moon_n these_o two_o thing_n have_v put_v the_o index_n where_o 29_o ½_n stand_v upon_o the_o say_a rombe_n or_o wind_n find_v which_o rest_v seek_v the_o age_n o_o the_o moon_n in_o the_o mooveable_a circle_n for_o the_o hour_n in_o the_o inward_a circle_n of_o the_o planispheare_n answer_v thereunto_o acquaint_v you_o with_o the_o hour_n of_o the_o full_a sea_n in_o the_o propose_a place_n and_o for_o your_o practice_n and_o ease_n behold_v the_o table_n of_o tide_n ensue_v the_o moon_n south_n or_o north_n make_v a_o full_a sea_n at_o land_n end_v south_n and_o by_o east_n at_o the_o gore_n end_n south_n south_n west_n between_o holy_a island_n and_o tynemouth_n south_n west_n and_o north_n west_n between_o tynemouth_n and_o flambrough_n head_n south_n west_n and_o by_o west_n between_o flamb_n and_o bridlington_n in_o the_o bay_n west_n south_n west_n between_o bridligton_n and_o laurenas_n east_n &_o west_n between_o laur._n and_o cromer_n south_n east_n between_o cromer_n and_o yarmouth_n ride_v to_o laystow_n north_n ride_v south_n east_n and_o by_o south_n between_o lie_v ride_v and_o orfordenas_n south_n south_n east_n between_o orf._n &_o orewell_n wood_n south_n &_o by_o east_n between_o naase_n &_o the_o ware_n head_n of_o colnes_n south_n south_n west_n at_o gravesend_n south_n west_n at_o lon._n bridge_n south_n and_o by_o east_n at_o portsmouth_n east_n and_o west_n at_o waymouth_n west_n and_o by_o south_n along_o the_o coast_n up_o to_o bristol_n and_o the_o coast_n of_o ireland_n from_o waterford_n to_o kynsale_n if_o you_o desire_v more_o you_o may_v have_v it_o of_o any_o skilful_a mariner_n or_o in_o the_o table_n of_o the_o regiment_n of_o the_o sea_n one_o thing_n note_n that_o it_o flow_v soon_o by_o one_o point_n of_o the_o compass_n in_o the_o spring_n tide_n than_o it_o do_v in_o any_o of_o the_o quarter_n of_o the_o moon_n especial_o if_o the_o river_n have_v any_o indrafte_n and_o distance_n from_o the_o sea_n a_o note_n of_o addition_n to_o the_o planispheare_n in_o the_o glass_n to_o the_o planispheare_n in_o this_o topographicall_a glass_n you_o may_v also_o add_v the_o celestial_a zodiac_n and_o another_o circle_n of_o the_o day_n of_o the_o month_n inclusive_o the_o same_o or_o such_o like_a that_o be_v place_v upon_o the_o horizon_n in_o sandersons_n globe_n by_o which_o you_o may_v gather_v the_o sign_n and_o near_o the_o degr_n that_o the_o sun_n and_o moon_n be_v in_o and_o if_o you_o do_v but_o note_v the_o aspect_n in_o the_o rundle_n of_o the_o moon_n age_n in_o their_o proper_a place_n you_o may_v thereby_o find_v what_o aspect_n the_o sun_n and_o moon_n have_v one_o to_o the_o other_o at_o any_o time_n or_o thus_o you_o may_v find_v what_o sign_n the_o moon_n be_v in_o place_z the_o index_n mark_v with_o f_o upon_o a_o in_o the_o planispheare_n where_o the_o degree_n do_v take_v beginning_n then_o count_v the_o age_n of_o the_o moon_n in_o her_o proper_a circle_n under_o which_o in_o the_o planispheare_n make_v a_o mark_n to_o which_o mark_n turn_v the_o foresay_a index_n f_o note_v the_o degree_n cut_v in_o the_o circumference_n for_o that_o be_v the_o distance_n of_o the_o sun_n and_o moon_n which_o part_v by_o 30_o the_o quotient_n yield_v the_o number_n of_o sign_n and_o the_o remainder_n the_o degree_n so_o that_o know_v the_o place_n of_o the_o sun_n by_o any_o ordinary_a almanac_n hereby_o have_v you_o also_o the_o place_n of_o the_o moon_n by_o add_v the_o distance_n of_o the_o sun_n &_o moon_n unto_o the_o place_n of_o the_o sun_n in_o the_o almanac_n as_o in_o march_n after_o the_o 10_o day_n the_o sign_n be_v in_o aries_n and_o by_o the_o rule_n before_o i_o find_v she_o distant_a from_o the_o sun_n 60_o degree_n or_o 2_o sign_n therefore_o the_o moon_n must_v be_v in_o taurus_n the_o deg_fw-la be_v know_v by_o the_o deg_fw-la that_o the_o sun_n be_v in_o and_o by_o the_o deg_fw-la cut_v by_o the_o index_n as_o before_o final_o if_o in_o this_o utter_a circle_n you_o character_n the_o aspect_n than_o also_o may_v you_o find_v the_o aspect_n betwixt_o the_o sun_n and_o moon_n many_o thing_n astronomical_a may_v i_o open_v in_o the_o use_n of_o this_o glass_n which_o for_o brevity_n sake_n i_o be_o force_v to_o omit_v at_o this_o time_n i_o will_v conclude_v the_o use_n of_o the_o topographicall_a glass_n hope_v i_o have_v say_v sufficient_a to_o open_v the_o whole_a use_n thereof_o which_o contain_v matter_n sit_v for_o a_o great_a volume_n the_o description_n and_o use_n of_o the_o plain_a table_n contain_v all_o such_o proposition_n as_o be_v most_o fit_a and_o familiar_a to_o be_v wrought_v thereon_o set_v aside_o other_o as_o pertinent_a to_o curious_a demonstration_n rather_o than_o apt_a to_o produce_v exactness_n and_o truth_n chap._n xliii_o to_o use_v the_o topographicall_a glass_n as_o the_o plain_a table_n table_n to_o alter_v the_o topographicall_a glass_n to_o a_o plain_a table_n you_o must_v take_v the_o circular_a sight_n box_n needle_n and_o all_o thing_n of_o the_o foreside_n the_o planisphere_n of_o the_o glass_n and_o so_o set_v the_o socket_n that_o be_v upon_o the_o backside_n upon_o the_o foreside_n the_o instrument_n so_o do_v the_o backside_n be_v a_o four_o square_a plain_a board_n stand_v upward_o next_o must_v you_o cover_v this_o smooth_a board_n with_o a_o sheet_n of_o white_a paper_n which_o fasten_v thereunto_o with_o mouth_n glue_v or_o you_o may_v have_v fold_v ruler_n as_o the_o plain_a table_n itself_o to_o perform_v the_o same_o last_o have_v a_o ruler_n with_o sight_n as_o in_o the_o next_o chapter_n to_o stand_v upon_o this_o plain_a superficies_n and_o to_o the_o one_o side_n of_o the_o board_n in_o the_o thickness_n thereof_o with_o screw_a pin_n fix_v the_o needle_n and_o box_n in_o such_o order_n that_o the_o south_n line_n i_o mean_v not_o the_o line_n of_o variation_n make_v right_a angle_n with_o the_o side_n of_o the_o say_a board_n so_o have_v you_o finish_v chap._n xliiii_o of_o the_o plain_a table_n with_o a_o description_n thereof_o and_o the_o part_n thereunto_o belong_v table_n the_o plain_a table_n the_o plain_a table_n or_o geometrical_a table_n be_v a_o right_a angle_a aequilater_n paralelogram_n make_v of_o a_o board_n of_o half_a a_o inch_n in_o thickness_n who_o equal_a side_n contain_v 9_o or_o 12_o inch_n the_o superficies_n whereof_o be_v make_v smooth_a and_o plain_a some_o use_n to_o make_v he_o represent_v a_o oblong_a all_o be_v one_o some_o for_o ease_n in_o carriage_n use_v to_o make_v this_o square_a board_n to_o consist_v of_o three_o piece_n which_o they_o use_v to_o join_v together_o with_o certain_a ledge_n such_o as_o be_v at_o the_o end_n of_o table_n board_n as_o you_o may_v gather_v by_o the_o figure_n the_o edge_n of_o this_o table_n round_o about_o be_v abate_v with_o certain_a square_a channel_n to_o the_o thickness_n of_o half_a the_o board_n according_a as_o you_o may_v gather_v by_o the_o shadow_a line_n about_o the_o table_n table_n the_o rib_n or_o for_o ruler_n of_o the_o plain_a table_n 2_o the_o piece_n of_o this_o table_n be_v set_v
all_o the_o angle_n thereof_o chapter_n to_o get_v a_o plat_n at_o many_o station_n by_o the_o doctrine_n of_o the_o last_o chapter_n first_o set_v up_o mark_n in_o every_o angle_n of_o the_o field_n as_o in_o the_o last_o chapter_n of_o this_o book_n then_o place_v your_o instrument_n in_o some_o place_n of_o the_o field_n and_o from_o thence_o draw_v line_n from_o as_o many_o angle_n as_o you_o can_v see_v that_o be_v together_o and_o those_o line_n measure_n and_o set_v the_o measure_a distance_n upon_o the_o line_n on_o the_o instrument_n &_o from_o point_n to_o point_n draw_v line_n to_o represent_v so_o much_o of_o the_o hedge_n then_o appoint_v out_o some_o place_n for_o your_o second_o station_n whereunto_o measure_n and_o then_o draw_v a_o station_n line_n set_v the_o measure_a distance_n thereon_o after_o this_o remove_v your_o table_n to_o that_o second_o station_n and_o there_o fix_v it_o as_o it_o be_v at_o the_o first_o station_n which_o you_o shall_v observe_v with_o your_o needle_n as_o in_o the_o second_o proposition_n of_o the_o sixth_o book_n before_o be_v teach_v then_o from_o the_o centre_n of_o your_o second_o station_n draw_v line_n to_o all_o the_o rest_n of_o the_o angle_n of_o the_o field_n which_o have_v not_o line_n draw_v to_o they_o before_o or_o at_o least_o so_o many_o of_o they_o as_o you_o can_v see_v and_o measure_v the_o line_n as_o at_o the_o first_o station_n this_o do_v choose_v a_o three_o station_n if_o before_o you_o can_v not_o see_v all_o the_o angle_n as_o you_o do_v a_o second_o still_o observe_v that_o your_o needle_n stand_v as_o at_o the_o first_o station_n and_o if_o at_o this_o three_o station_n you_o can_v see_v all_o the_o angle_n yet_o unmeasured_a you_o must_v again_o choose_v a_o four_o station_n and_o the_o five_o if_o need_v require_v and_o thus_o proceed_v till_o you_o have_v take_v all_o the_o angle_n of_o the_o field_n and_o at_o last_o observe_v the_o measure_n into_o every_o angle_n as_o also_o the_o rule_n before_o teach_v you_o shall_v produce_v a_o figure_n proportional_a and_o equal_a in_o angle_n to_o the_o plat_n or_o field_n present_v which_o be_v the_o thing_n require_v to_o be_v do_v the_o field_n be_v f_o g_o h_o i_o k_o l_o m_o n_z o_fw-mi p_o q_o r_o s_o wherein_o i_o plant_v my_o instrument_n at_o a_o whence_o i_o cause_v the_o angle_n s_o f_o g_o h_o i_o and_o no_o more_o therefore_o i_o finish_v all_o those_o angle_n as_o in_o the_o last_o chapter_n and_o then_o find_v out_o another_o station_n as_o b_o where_o i_o plant_v my_o instrument_n as_o at_o a_o in_o all_o respect_n whence_o again_o i_o may_v thence_o see_v the_o angle_n k_o l_o m_o n_z and_o so_o procee_v in_o the_o same_o order_n with_o those_o angle_n draw_v to_o the_o second_o station_n b_o as_o i_o do_v at_o the_o first_o station_n a_o but_o for_o that_o at_o this_o second_o station_n i_o can_v yet_o see_v all_o the_o angle_n in_o the_o field_n therefore_o i_o be_o force_v to_o seek_v a_o three_o station_n as_o c_o and_o there_o observe_v the_o angle_n of_o o_o p_o q_o r_o which_o be_v all_o the_o angle_n which_o i_o protract_v and_o limit_v upon_o the_o paper_n as_o before_o and_o you_o must_v note_v that_o the_o line_n a_o b_o and_z b_o c_o must_v be_v measure_v as_o well_o as_o a_o h_z and_o a_o i_o with_o all_o the_o rest_n and_o note_v that_o the_o needle_n cut_v 40_o deg_fw-la at_o a_o and_o so_o must_v it_o do_v at_o b_o and_o c_o and_o as_o many_o more_o station_n as_o you_o shall_v be_v occasion_v to_o make_v for_o note_v general_a causa_fw-la brevitatis_fw-la the_o south_n end_n of_o the_o needle_n cut_v like_o degree_n in_o the_o card_n at_o every_o station_n as_o at_o the_o first_o station_n this_o chapter_n be_v remember_v lib._n 6._o geodetia_n chap._n 7._o defi_fw-la 5._o chap._n liii_o to_o draw_v the_o plat_n of_o a_o field_n by_o once_o place_v the_o instrument_n in_o a_o angle_n of_o the_o field_n and_o measure_v round_o about_o the_o field_n because_o haply_o you_o can_v traverse_v the_o same_o by_o reason_n of_o water_n and_o such_o like_a impediment_n table_n to_o plat_n by_o measure_v about_o the_o field_n and_o yet_o but_o once_o place_v the_o table_n first_o set_v up_o the_o mark_n of_o every_o angle_n then_o plant_v your_o table_n in_o such_o a_o angle_n from_o whence_o you_o may_v see_v all_o the_o angle_n in_o the_o field_n then_o make_v a_o point_n on_o your_o table_n in_o a_o convenient_a place_n to_o represent_v the_o prick_n of_o your_o first_o station_n from_o whence_o draw_v line_n into_o each_o angle_n than_o measure_n first_o the_o hedge_n which_o be_v on_o the_o contain_v side_n of_o that_o angle_n in_o which_o your_o table_n stand_v and_o set_v those_o measure_n by_o the_o scale_n on_o that_o line_n which_o represent_v it_o then_o measure_v the_o next_o hodge_n unto_o it_o and_o take_v so_o many_o measure_n on_o the_o scale_n and_o set_v one_o of_o the_o foot_n of_o your_o compass_n in_o the_o last_o make_v prick_v and_o with_o the_o other_o foot_n strike_v a_o arch_n through_o the_o next_o line_n to_o it_o and_o note_v the_o interception_n thereof_o and_o from_o the_o prick_n last_o make_v thereunto_o draw_v a_o line_n which_o shall_v represent_v the_o second_o hedge_n and_o in_o this_o order_n measure_n about_o the_o field_n and_o strike_v a_o arch_n from_o line_n to_o line_n as_o in_o the_o first_o so_o shall_v you_o produce_v a_o figure_n proportional_a to_o the_o field_n the_o figure_n be_v a_o b_o c_o d_o e_o f_o g_o the_o angle_n where_o the_o instrument_n be_v plant_v be_v a_o whence_o i_o draw_v line_n into_o every_o angle_n as_o a_o b_o a_o c_o a_o d_o a_o e_z a_o f_z and_o a_o g_o then_z i_o measure_v the_o line_n a_o b_o and_o lay_v it_o down_o than_o i_o measure_v the_o line_n b_o c_o and_o note_v where_o it_o intersect_v with_o a_o c_o as_o at_o c_o then_z i_o measure_v c_o d_o and_o note_v where_o it_o intersect_v with_o d_o &_o so_o i_o go_v round_o about_o the_o field_n and_o produce_v a_o figure_n proportional_a to_o the_o figure_n propose_v chap._n liiii_o to_o take_v the_o plat_n of_o a_o field_n by_o the_o rule_n of_o the_o last_o chapter_n where_o all_o the_o angle_n can_v be_v see_v from_o one_o angle_n first_o angle_n out_o the_o field_n then_o plant_v your_o table_n in_o one_o angle_n as_o in_o the_o last_o chapter_n and_o from_o that_o angle_n get_v as_o great_a a_o part_n of_o the_o field_n as_o you_o can_v in_o order_n as_o in_o the_o last_o chapter_n then_o plant_v your_o table_n again_o in_o a_o angle_n where_o your_o last_o measure_n end_v in_o like_a fort_n situate_v as_o at_o the_o first_o station_n which_o you_o shall_v do_v by_o set_v the_o needle_n on_o the_o same_o degree_n it_o cut_v at_o the_o first_o station_n or_o look_v back_o as_o have_v be_v before_o teach_v from_o whence_o take_v all_o the_o rest_n of_o the_o field_n if_o you_o can_v there_o see_v all_o the_o rest_n of_o the_o angle_n if_o not_o you_o may_v make_v a_o station_n or_o two_o more_o as_o occasion_n shall_v serve_v and_o so_o work_v till_o you_o have_v whole_o enclose_v the_o field_n so_o shall_v you_o make_v a_o figure_n on_o the_o table_n proportional_a to_o the_o plat_n of_o the_o field_n with_o angle_n equal_a thereunto_o this_o chapter_n differ_v little_a from_o the_o last_o only_o you_o must_v perform_v that_o at_o many_o station_n that_o there_o you_o do_v at_o one_o this_o agree_v with_o the_o 7_o chapter_n def_n 4._o geodetia_n chap._n lv._o to_o draw_v the_o plat_n of_o a_o piece_n of_o ground_n by_o 2_o station_n and_o measure_v but_o one_o line_n where_o all_o the_o angle_n of_o the_o field_n may_v be_v see_v from_o both_o the_o place_n first_o go_v round_o about_o the_o field_n and_o set_v up_o mark_n in_o every_o angle_n thereof_o station_n a_o plat_n of_o two_o station_n then_o choose_v out_o your_o 2_o station_n something_o near_o the_o middle_n of_o the_o field_n a_o good_a distance_n one_o from_o another_o in_o such_o sort_n that_o they_o lie_v not_o both_o in_o a_o straight_a line_n to_o any_o of_o the_o angle_n of_o the_o field_n but_o so_o that_o they_o may_v make_v as_o great_a angle_n with_o every_o angle_n of_o the_o field_n as_o may_v be_v for_o the_o great_a regard_n you_o have_v in_o the_o choose_n out_o your_o two_o station_n the_o better_a will_v your_o line_n intercept_v one_o from_o another_o wherefore_o have_v thus_o make_v choice_n of_o your_o station_n the_o work_n be_v perform_v as_o in_o the_o 31_o chapt._n as_o you_o may_v gather_v by_o the_o demonstration_n c_o d_o f_o g_o h_o i_o k_o be_v the_o peripher_n
fortify_v a_o camp_n that_o c._n martius_n who_o have_v be_v seven_o time_n consul_n of_o rome_n right_a skilful_o that_o when_o sylla_n surname_v foelix_n see_v it_o say_v that_o the_o rest_n in_o comparison_n of_o he_o be_v blind_a béetle_n know_v neither_o how_o to_o build_v or_o encamp_v when_o therefore_o you_o mind_n to_o build_v a_o house_n with_o your_o scale_n and_o compass_n lie_v down_o the_o ground_n plat_v according_a unto_o your_o proportion_n order_v your_o cellarage_n larder_n and_o all_o house_n of_o office_n in_o as_o necessary_a form_n as_o to_o you_o shall_v seem_v most_o convenient_a appoint_v place_n for_o great_a stair_n private_a stair_n house_n of_o office_n chimney_n etc._n etc._n that_o shall_v be_v most_o requisite_a for_o use_v and_o least_o annoy_v or_o deface_v the_o house_n or_o any_o of_o the_o principal_a light_n chamber_n or_o room_n then_o according_a to_o your_o ground_n plat_n draw_v the_o forefront_n or_o face_n side_n backside_n end_n and_o gabell_a end_n with_o all_o return_n iutteye_n soil_n piece_n window_n etc._n etc._n even_o as_o you_o determine_v to_o have_v it_o make_v but_o draw_v it_o not_o as_o common_o these_o painter_n do_v proportion_n of_o house_n by_o the_o eye_n but_o lay_v it_o down_o by_o your_o scale_n and_o compass_n that_o by_o the_o application_n thereof_o at_o any_o time_n you_o may_v know_v how_o many_o foot_n or_o inch_n any_o return_n any_o gable_n end_n any_o story_n or_o window_n be_v in_o length_n or_o breadth_n which_o you_o shall_v be_v teach_v to_o do_v haply_o in_o some_o other_o place_n thus_o upon_o several_a paper_n set_v out_o every_o several_a part_n of_o your_o house_n whereby_o yourself_o or_o the_o architector_n may_v inform_v the_o mechanical_a carpenter_n of_o the_o length_n of_o every_o several_a piece_n of_o timber_n &_o all_o thing_n else_o require_v about_o the_o house_n as_o the_o number_n of_o board_n for_o floore_v and_o doore_v the_o quantity_n of_o glass_n and_o tile_n with_o the_o quantity_n of_o séel_v rough_a cast_n pave_v &_o other_o such_o like_a whereby_o you_o may_v give_v order_n to_o the_o glazier_n for_o the_o breadth_n and_o length_n of_o your_o glass_n to_o the_o tiler_n for_o tile_n to_o the_o plasterer_n for_o lime_n to_o the_o sawyer_n for_o board_n proceed_v no_o one_o thing_n stay_v for_o the_o finish_n of_o another_o thereby_o proportion_n your_o house_n according_a to_o your_o purse_n now_o for_o the_o addition_n of_o more_o delight_n unto_o your_o house_n upon_o the_o south_n side_n thereof_o set_v out_o a_o fair_a square_a garden_n beautify_v with_o bower_n walk_n and_o such_o like_a as_o your_o gardener_n can_v best_o devise_v adjoin_v unto_o which_o let_v there_o be_v a_o fine_a orchard_n plant_v with_o tree_n but_o if_o your_o climate_n be_v hot_a as_o spain_n etc._n etc._n plant_v your_o garden_n in_o the_o north_n but_o for_o england_n the_o south_n be_v best_a unless_o for_o some_o tree_n that_o natural_o desire_v the_o shade_n let_v there_o be_v no_o oxe-stall_n dormant_a and_o filthy_a water_n stable_z or_o other_o thing_n that_o may_v breed_v noisome_a smell_n near_o unto_o your_o ga●den_n make_v the_o alley_n dry_a for_o which_o i_o can_v teach_v you_o diverse_a devise_n which_o here_o be_v no_o place_n for_o and_o plant_v the_o tree_n in_o your_o orchard_n after_o a_o chequer_n form_n that_o stand_v at_o any_o tree_n all_o the_o rest_n be_v in_o right_a line_n with_o you_o which_o form_n be_v call_v a_o quinqunx_n within_o your_o house_n make_v your_o stair_n large_a not_o with_o these_o monnell_n post_n but_o with_o four_o step_n and_o a_o half_a pace_n a_o fair_a light_n answer_v to_o every_o half_a pace_n let_v the_o chamber_n be_v of_o a_o convenient_a height_n over_o head_n and_o sufficient_a light_n albeit_o the_o chamber_n you_o lodge_v in_o will_v not_o be_v over_o light_n not_o yet_o a_o ground_n chamber_n incline_v rather_o to_o cold_a then_o heat_v for_o by_o mean_n of_o heat_n in_o sleep_n we_o may_v procure_v a_o swoon_n because_o the_o heat_n of_o the_o body_n be_v become_v internal_a and_o cold_a external_a this_o enclose_v heat_n and_o that_o cold_a will_v strive_v let_v the_o place_n therefore_o be_v temperate_a and_o free_a from_o noise_n for_o sleep_n be_v a_o a_o cessation_n of_o the_o common_a sense_n which_o be_v occupy_v &_o trouble_v with_o noise_n hinder_v sleep_v moreover_o keep_v the_o beam_n of_o the_o moon_n from_o your_o bed_n for_o it_o be_v hurtful_a to_o the_o sight_n to_o have_v the_o moon_n shine_v upon_o your_o eye_n sleep_a touch_v the_o plait_n and_o form_n of_o house_n some_o affect_v the_o quadrant_a building_n with_o a_o square_a court_n enclose_v in_o the_o midst_n like_v to_o the_o college_n or_o as_o the_o royal_a exchange_n which_o indeed_o in_o respect_n of_o the_o column_n and_o arch_n make_v the_o under_o walk_n be_v more_o stately_a again_o some_o affect_v the_o roman_a h._n some_o other_o form_n but_o that_o must_v be_v partly_o refer_v unto_o the_o pleasure_n of_o he_o that_o bestow_v the_o cost_n and_o for_o my_o part_n i_o intend_v not_o at_o this_o time_n to_o lay_v forth_o the_o diversity_n of_o plait_n and_o how_o they_o shall_v be_v take_v or_o lay_v down_o by_o scale_n and_o compass_n for_o that_o haply_o i_o shall_v open_v the_o same_o in_o another_o piece_n of_o work_n more_o proper_a chap._n xcvi_o of_o the_o sink_n of_o a_o well_o and_o of_o the_o convey_v of_o water_n in_o pipe_n if_o you_o desire_v to_o find_v a_o place_n where_o dig_v a_o pit_n you_o may_v also_o find_v water_n fit_a to_o maintain_v a_o well_o or_o pump_n you_o must_v ss_z jean_n liebault_n write_v early_o in_o the_o morning_n your_o face_n into_o the_o east_n look_v close_o by_o the_o ground_n if_o then_o you_o espy_v any_o vapour_n like_a to_o a_o little_a cloud_n rise_v out_o of_o the_o ground_n there_o if_o you_o dig_v be_v water_n to_o be_v find_v or_o if_o such_o vapour_n rise_v in_o a_o dry_a and_o fair_a season_n also_o if_o you_o dig_v trench_n four_o or_o five_o foot_n deep_o throw_v therein_o wool_n that_o be_v clean_a and_o dry_a cover_v the_o same_o with_o leaf_n herb_n or_o such_o like_a if_o then_o this_o wool_n have_v lyen_fw-we for_o a_o certain_a space_n still_o remain_v dry_a there_o be_v no_o water_n thereabouts_o to_o be_v find_v but_o if_o it_o be_v little_a wet_a or_o great_o wet_a there_o be_v little_a or_o great_a store_n of_o water_n to_o be_v find_v according_a as_o the_o wool_n be_v in_o wetnesse_n also_o water_n be_v to_o be_v find_v under_o these_o ensue_a herb_n yarrow_n or_o nose_n bleed_v vervain_n wild_a peniroyall_n venus_n hair_n camomile_n dog_n tooth_n foxtaile_n trifoly_n cinkefoile_n millefoile_n coliander_n or_o as_o some_o say_v where_o abundance_n of_o green_a ferne_n do_v plentiful_o grow_v or_o as_o l._n say_v where_o any_o other_o green_a herb_n natural_o flourish_v and_o abound_v without_o set_v your_o spring_n thus_o find_v they_o of_o long_a continuance_n be_v which_o be_v in_o a_o gray_a or_o red_a gravel_o rock_n or_o ground_n in_o a_o blackish_a sandy_a clayie_a or_o red_a stony_a ground_n especial_o be_v mix_v with_o stone_n and_o gravel_n now_o for_o the_o pipe_n for_o the_o conveyance_n of_o water_n lead_n be_v good_a earth_n be_v better_a but_o wood_n of_o fir_n alder_n or_o pine_v or_o such_o other_o wood_n that_o have_v rosin_n in_o it_o be_v best_o such_o they_o use_v now_o in_o convey_v of_o water_n to_o house_n from_o the_o new_a water_n mil_fw-mi in_o westminster_n they_o must_v be_v bore_v through_o with_o long_a agore_n first_o with_o a_o less_o one_o them_z with_o a_o big_a any_o bough_n or_o knotty_a piece_n will_v serve_v so_o they_o be_v large_a &_o when_o the_o pole_n so_o bore_v have_v not_o ground_n to_o lie_v straight_o upon_o but_o lie_v uneven_a rise_n and_o fall_v there_o be_v crooked_a piece_n of_o wood_n like_o elbow_n provide_v of_o purpose_n which_o be_v also_o bore_v through_o be_v let_v a_o foot_n at_o either_o end_n into_o the_o other_o two_o pole_n it_o join_v together_o &_o so_o be_v all_o the_o pole_n that_o be_v join_v one_o to_o another_o make_v to_o go_v into_o the_o end_n of_o one_o another_o a_o foot_n or_o more_o in_o manner_n as_o they_o piece_n bagpipe_n or_o such_o like_a the_o hole_n in_o the_o end_n of_o the_o one_o pole_n receive_v the_o hollow_a end_n of_o the_o other_o pole_n into_o the_o same_o be_v always_o for_o a_o foot_n deep_o wide_o than_o the_o rest_n of_o the_o bore_n which_o you_o must_v join_v together_o with_o good_a cement_n as_o you_o be_v teach_v before_o to_o do_v chap._n xcvii_o a_o brief_a discourse_n how_o to_o draw_v the_o platform_n of_o any_o kind_n of_o building_n or_o any_o other_o thing_n
any_o altitude_n be_v level_a with_o your_o eye_n c._n 19_o p._n 58_o to_o search_n out_o length_n in_o height_n c._n 20._o p._n 59_o to_o reduce_v part_n of_o the_o right_a side_n the_o geometrical_a quadrant_a into_o part_n proportional_a of_o the_o left_a side_n c._n 21.61_o to_o find_v length_n in_o height_n by_o the_o geometrical_a quadrant_a in_o the_o glass_n c._n 22._o ibid._n to_o know_v how_o much_o one_o hill_n be_v high_a than_o another_o 23.64_o to_o know_v if_o water_n will_v run_v to_o the_o appoint_a place_n c._n 24.67_o to_o take_v the_o quantity_n of_o any_o stationary_a angle_n c._n 25.70_o to_o make_v a_o protractor_n &_o scale_n c._n 26._o ibid._n to_o protract_v a_o angle_n and_o lay_v down_o the_o end_n c._n 27._o p._n 71_o to_o observe_v a_o angle_n of_o position_n and_o protract_v it_o etc._n etc._n 28.73_o to_o take_v the_o plat_n of_o a_o great_a champion_n etc._n etc._n c._n 29._o p._n 74_o to_o plat_n meadow_n plain_a field_n pasture_n etc._n etc._n c._n 30.75_o to_o reduce_v line_n hypothenusall_n into_o line_n horizontal_a 31.76_o compendious_a form_n of_o work_v by_o the_o geod_n staff_n 32.77_o to_o square_a land_n and_o to_o reduce_v irregular_a form_n to_o regular_a c._n 33.80_o to_o search_v the_o perpendicular_a in_o any_o triangle_n etc._n etc._n 34.81_o to_o reduce_v many_o plait_n or_o observation_n into_o one_o map_n 35.82_o to_o divide_v a_o empire_n kingdom_n or_o continent_n into_o prou._n 36.85_o reason_n why_o the_o sun_n altitude_n have_v be_v hitherto_o false_o observe_v 37.87_o paralax_n of_o the_o sun_n ib._n 88_o a_o table_n of_o the_o sun_n paralaxe_n ib._n 90_o correct_v the_o take_n of_o the_o star_n altitude_n 38.91_o to_o take_v the_o altitude_n or_o almicanther_n of_o the_o sun_n or_o any_o star_n and_o to_o find_v their_o azimuth_n 39.92_o to_o take_v the_o amplitude_n of_o sun_n or_o star_n 40.93_o to_o get_v the_o hour_n of_o the_o day_n the_o hour_n of_o sun_n rise_v or_o set_v by_o the_o topographical_n glass_n 41._o ib._n to_o find_v the_o hour_n of_o the_o night_n &_o likewise_o high_a water_n 42.64_o addition_n to_o the_o planisphere_n in_o the_o glass_n ib._n 95_o to_o use_v the_o topographicall_a glass_n as_o the_o plain_a table_n 43.97_o a_o description_n of_o the_o plain_a table_n 44.98_o absurdity_n use_v of_o many_o who_o affect_v the_o plain_a table_n 45.102_o thing_n belong_v to_o the_o use_n of_o the_o plain_a table_n c._n 46.104_o to_o take_v any_o horizontall_a distance_n by_o the_o plain_a table_n c._n 47._o ib._n part_v of_o the_o distance_n of_o any_o thing_n give_v to_o find_v the_o rest_n ch_n 48._o p._n 107_o to_o take_v the_o distance_n of_o two_o town_n etc._n etc._n c._n 49._o p._n 108_o to_o find_v the_o horizontall_a distance_n from_o you_o by_o a_o new_a way_n c._n 50._o p._n 110_o to_o draw_v the_o plat_n of_o a_o piece_n of_o ground_n at_o one_o station_n where_o all_o the_o angle_n of_o the_o field_n may_v be_v see_v 51.112_o to_o draw_v the_o plat_n of_o any_o field_n where_o you_o can_v not_o see_v all_o the_o angle_n c._n 52._o p._n 113_o to_o draw_v the_o plat_n of_o a_o field_n by_o once_o place_v the_o instrument_n in_o a_o angle_n of_o the_o field_n and_o measure_v the_o field_n round_o about_o c._n 53._o p._n 115_o to_o take_v the_o plat_n of_o a_o field_n by_o the_o rule_n of_o the_o forego_n chapter_n where_o all_o the_o angle_n can_v be_v see_v from_o one_o angle_n c._n 54.116_o to_o draw_v the_o plat_n of_o a_o piece_n of_o ground_n by_o two_o station_n and_o measure_v but_o one_o line_n c._n 55.117_o to_o draw_v the_o plat_n of_o a_o field_n by_o many_o station_n and_o yet_o measure_v but_o one_o line_n in_o all_o c._n 56._o p._n 118_o to_o draw_v the_o plat_n of_o a_o piece_n of_o wood-ground_n which_o for_o thickness_n one_o can_v set_v a_o instrument_n in_o c._n 57.120_o to_o draw_v the_o plat_n of_o a_o field_n by_o set_v his_o instrument_n in_o every_o angle_n yet_o measure_v but_o one_o line_n c._n 58._o p._n 122_o to_o take_v the_o plat_n of_o any_o champion_n field_n by_o the_o plain_a table_n yet_o never_o change_v paper_n c._n 59_o p._n 123_o what_o chapter_n be_v fit_a to_o use_v in_o plat_v of_o ground_n &_o what_o instrument_n to_o use_v c._n 60.124_o a_o description_n of_o the_o circumferentor_n and_o the_o part_n thereof_o c._n 61._o p._n 126_o of_o the_o sight_n long_o &_o short_a c._n ib._n p._n 127_o the_o circumferentor_n his_o appellation_n and_o thing_n general_o to_o be_v consider_v therein_o c._n 62._o p._n 129._o to_o take_v the_o almincanther_n and_o azimuth_n of_o the_o sun_n 63.130_o to_o know_v in_o what_o part_n of_o the_o horizon_n any_o thing_n see_v lie_v c._n 64._o p._n 131_o to_o find_v the_o hour_n of_o the_o day_n by_o sight_n of_o the_o sun_n c._n 65._o p._n ib._n to_o find_v the_o hour_n of_o sun_n rise_v and_o set_v c._n 66._o p._n 132_o to_o find_v the_o amplitude_n of_o rise_a sun_n or_o star_n c._n 67._o p._n ib._n of_o the_o opposite_a degree_n and_o how_o to_o find_v they_o c._n 68.133_o to_o find_v the_o quantity_n of_o a_o angle_n c._n 69._o p._n 134_o to_o take_v the_o distance_n of_o any_o mark_n by_o the_o old_a circumferentor_n c._n 70._o ib._n to_o perform_v the_o last_o chapter_n by_o protract_v the_o circumferentor_n ch_n 71._o p._n 135_o to_o take_v a_o altitude_n only_o by_o the_o circumferentor_n 72.136_o to_o take_v the_o plat_n of_o a_o piece_n of_o ground_n by_o the_o old_a or_o new_a circumferentor_n c._n 73._o p._n 137_o to_o take_v a_o plat_n at_o one_o station_n by_o the_o circumferentor_n 74.139_o degree_n of_o a_o field_n be_v take_v to_o find_v the_o close_n of_o the_o plat_n ch_n 75._o p._n ibid._n to_o reduce_v hypothenusall_a line_n into_o horizontall_a c._n 76._o p._n 141_o to_o perform_v the_o same_o by_o a_o quadrant_n ch_n 77._o p._n 142_o to_o take_v altitude_n by_o such_o a_o quadrant_n ch_n 78._o p._n 143_o to_o take_v the_o declination_n of_o a_o wall_n chap._n 79._o p._n ib._n survey_v of_o a_o manor_n ib._n p._n 144_o to_o make_v a_o map_n and_o sea_n card_n ibid._n p._n 146._o to_o discover_v the_o true_a plat_n of_o a_o park_n forest_n etc._n etc._n c._n 80._o p._n 148_o to_o cast_v the_o content_n of_o a_o park_n chap._n 81.153_o to_o plat_n any_o field_n by_o intersection_n of_o line_n c._n 82._o p._n 159_o to_o seek_v the_o distance_n of_o a_o turret_n c._n 83._o p._n 158_o to_o find_v the_o length_n of_o any_o hypothenusal_a c._n 84._o p._n 160_o to_o find_v the_o distance_n of_o two_o tower_n c._n 85._o p._n 162._o to_o find_v the_o distance_n of_o any_o thing_n from_o you_o 86._o p._n 165_o to_o know_v whether_o a_o ship_n come_v to_o you_o or_o go_v from_o you_o chap._n 87._o p._n 167_o a_o ship_n pursue_v another_o when_o it_o will_v overtake_v the_o former_a chap._n 88_o p._n ibid._n how_o to_o take_v the_o platform_n of_o a_o house_n castle_n etc._n etc._n 89._o p._n 168_o to_o discover_v how_o mine_n and_o trench_n run_v ch_n 90._o p._n 169_o to_o place_n barrel_n of_o powder_n under_o castle_n etc._n etc._n ch_n 91._o p._n 170_o whether_o a_o mine_n be_v above_o or_o under_o the_o horizon_n chap._n 92_o p._n 171_o to_o know_v which_o way_n it_o decline_v ch_n 93._o ibid._n to_o build_v and_o situate_v a_o city_n ch_n 94._o p._n 173_o to_o build_v and_o situate_v a_o manor_n chap._n 95._o p._n 174_o to_o sink_v a_o well_o and_o convey_v water_n pipe_n c._n 96._o p._n 177_o to_o draw_v the_o plat_n of_o a_o building_n or_o other_o thing_n not_o see_v ch_n 97._o p._n 179_o to_o make_v a_o excellent_a ruler_n for_o reduce_v plait_n chap._n 98._o p._n 180_o to_o burn_v any_o thing_n far_o off_o with_o the_o sun_n beam_n ch_n 99_o p._n 182_o to_o make_v a_o glass_n to_o discern_v any_o small_a thing_n half_a a_o mile_n off_o as_o to_o read_v a_o letter_n etc._n etc._n c._n 100_o p._n ibid._n how_o to_o buy_v annuety_n or_o money_n due_a afterward_o ch_n 101_o p._n 183_o the_o measure_n of_o solid_n and_o plain_n the_o best_a time_n to_o fell_a timber_n and_o to_o season_v board_n chap._n 1.186_o to_o measure_v solid_a timber_n 2.187_o to_o find_v the_o square_n of_o any_o tree_n grow_v 3.188_o to_o find_v the_o square_n of_o a_o tree_n unsquared_a 4.189_o to_o find_v the_o square_n of_o a_o square_a piece_n 5.190_o to_o find_v the_o square_n of_o any_o flat_a piece_n 6.191_o to_o find_v the_o square_n of_o a_o piece_n like_o a_o diamond_n 7.192_o to_o find_v the_o square_n of_o piece_n of_o 3_o 5_o 6_o 7_o or_o 8_o side_n look_v the_o 8_o and_o 9_o chap._n p._n 193_o to_o find_v how_o much_o timber_n will_v make_v a_o foot_n square_n 10.195_o to_o measure_v all_o sort_n of_o timber_n 11.196_o of_o surface_n and_o solid_a figure_n 12.197_o measure_v content_n superficial_a and_o solid_a 13.200_o to_o measure_v the_o air_n or_o any_o plain_a surface_n 14.202_o finis_fw-la you_o may_v have_v any_o of_o the_o instrument_n in_o this_o book_n make_v of_o wood_n in_o hosier_n lane_n near_o smithfield_n in_o london_n by_o john_n tomson_n the_o glass_n be_v make_v in_o brass_n in_o black_a horse-al_o near_o flecetebridge_n by_o elias_n allin_n