Selected quad for the lemma: work_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
work_n	bear_v	good_a	tree_n	8,220	5	10.2554	5	false

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A08347	The gunner shevving the vvhole practise of artillerie: vvith all the appurtenances therevnto belonging. Together with the making of extra-ordinary artificiall fireworkes, as well for pleasure and triumphes, as for warre and seruice. VVritten by Robert Norton, one of his Maiesties gunners and enginiers.	Norton, Robert, d. 1635.; Bry, Theodor de, 1528-1598, engraver.	1628 (1628)	STC 18673; ESTC S115254	149,353	214

be_v usual_a wound_n and_o be_v a_o please_a invention_n be_v environ_v with_o bandroll_n of_o rocket_n with_o a_o continue_a rank_n but_o yet_o the_o half_a of_o they_o be_v turn_v with_o their_o head_n the_o contrary_a way_n when_o the_o other_o half_a have_v spend_v themselves_o then_o by_o a_o secret_a match_n on_o purpose_n they_o be_v fire_v and_o sudden_o the_o motion_n will_v be_v make_v contrary_a to_o the_o former_a the_o last_o of_o the_o first_o half_a be_v spend_v it_o give_v fire_n to_o the_o first_o of_o the_o latter_a half_n which_o immediate_o work_v its_o effect_n the_o frame_n b_o be_v a_o castle_n with_o 4_o tower_n and_o 4_o curtain_n and_o a_o cavalariae_n or_o domineer_a turret_n in_o the_o midst_n the_o structure_n thereof_o be_v with_o a_o thick_a plank_n or_o two_o join_v well_o together_o of_o the_o bigness_n of_o the_o plane_n or_o foundation_n of_o the_o bottom_n of_o the_o castle_n make_v a_o great_a hole_n in_o the_o midst_n into_o with_o the_o top_n of_o the_o perch_n which_o bear_v all_o the_o frame_n be_v to_o enter_v the_o tower_n be_v to_o be_v turn_v of_o good_a and_o strong_a timber_n about_o which_o a_o number_n of_o auger_n hole_n and_o gutter_n be_v to_o be_v make_v to_o put_v to_o breaker_n and_o pettard_n and_o to_o carry_v train_n between_o to_o fire_v the_o work_n in_o order_n in_o the_o midst_n of_o each_o tower_n a_o slow_a match_n be_v first_o fire_v aloft_o or_o a_o earthen_a pipe_n fill_v with_o sure_a and_o slow_a receipt_n one_o tower_n receive_v fire_n from_o another_o until_o all_o be_v spend_v the_o curtain_n also_o give_v several_a round_n of_o cane_n cannon_n which_o be_v well_o arm_v and_o load_v will_v yield_v a_o good_a report_n there_o may_v be_v place_v runner_n that_o shall_v fire_v each_o other_o and_o pass_v from_o tower_n to_o tower_n and_o flyer_n who_o rod_n may_v be_v let_v down_o through_o the_o plank_n the_o roof_n of_o the_o tower_n shall_v have_v turret_n arch_v and_o vane_n upon_o they_o with_o 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breaker_n that_o at_o last_o shall_v break_v and_o consume_v all_o the_o body_n thereof_o which_o be_v frame_v with_o rib_n of_o dry_a light_a wood_n or_o whale_n bone_n or_o crooked_a lane_n plate_n and_o cover_v either_o with_o paper_n or_o muscovie_a glass_n colour_v like_o to_o a_o dragon_n may_v so_o represent_v that_o creature_n in_o shape_n these_o be_v to_o have_v either_o a_o void_a cane_n or_o else_o certain_a swiule_n for_o a_o line_n free_o to_o enter_v into_o that_o ballast_v it_o may_v almost_o equipoyze_o hang_v and_o be_v yare_a to_o runneupon_o a_o line_n now_o at_o great_a triumph_n two_o of_o these_o dragon_n may_v be_v make_v to_o move_v opposite_o unto_o the_o midst_n of_o the_o line_n whereas_o a_o globe_n with_o sun_n moon_n stary_n &_o cloud_n may_v appear_v lively_o represent_v as_o in_o the_o 24_o figure_n at_o γ_n be_v show_v the_o line_n may_v be_v make_v either_o of_o iron_n or_o brass_n wyre_n or_o of_o whipcord_n anoint_v with_o soap_n or_o such_o like_a incombustible_a matter_n these_o dragon_n and_o globe_n may_v be_v frame_v with_o arch_n and_o circle_n of_o thinn_n latin_n fasten_v with_o small_a line_n until_o the_o body_n thereof_o be_v frame_v to_o your_o mind_n and_o then_o set_v up_o her_o wing_n as_o she_o be_v fly_v somewhat_o shake_v with_o small_a racket_n in_o they_o also_o in_o the_o same_o figure_n be_v a_o double_a rocket_n coin_a with_o a_o vacant_a cane_n they_o be_v place_v once_o head_n to_o the_o other_o vent_v to_o the_o end_n that_o when_o the_o first_o have_v carry_v the_o other_o to_o the_o end_n of_o the_o line_n the_o other_o may_v take_v fire_n and_o return_v to_o the_o place_n where_o it_o first_o begin_v his_o motion_n also_o it_o will_v be_v a_o pleasant_a spectacle_n to_o behold_v to_o see_v two_o man_n issue_v forth_o at_o country_n place_n arm_v with_o small_a trunk_n or_o staff_n and_o target_n furnish_v with_o artificial_a firework_n which_o put_v themselves_o among_o the_o people_n shall_v combat_n together_o in_o fire_n the_o target_n be_v of_o plank_n may_v spyral_o have_v fire_n of_o breaker_n and_o rocket_n and_o the_o trunk_n and_o staff_n furnish_v with_o cane_n arm_v rocket_n &_o pettard_n no_o big_a than_o a_o quill_n and_o arm_v load_v nutshell_n or_o in_o stead_n of_o staff_n or_o trunk_n they_o may_v have_v wooden_a dull_a sword_n or_o curtlace_n furnish_v with_o firework_n which_o will_v be_v a_o pleasant_a fight_n chap._n lxxviii_o how_o artificial_a fireball_n and_o granade_n be_v to_o be_v form_v and_o load_v with_o their_o mixture_n fireball_n and_o granade_n be_v upon_o all_o occasion_n very_o offensive_a to_o the_o enemy_n to_o vex_v and_o trouble_v they_o in_o their_o army_n or_o besiege_v in_o their_o hods_n or_o house_n tent_n or_o trench_n bulwark_n and_o defence_n they_o may_v be_v make_v round_o many_o way_n according_a to_o their_o calibre_n resolve_v first_o take_v strong_a canvas_n and_o cut_v out_o 2_o circle_n ⅓_n great_a or_o more_o in_o dyamitre_n then_o the_o calibre_n and_o have_v turn_v in_o the_o edge_n of_o their_o peripheries_n sow_v they_o strong_o with_o needle_n and_o three_o round_o about_o only_o leave_v a_o little_a hole_n until_o you_o have_v thereby_o load_v the_o receipt_n ram_v it_o in_o very_o hard_a and_o work_v it_o globally_o or_o else_o cut_v the_o canvas_n into_o 8_o quarter_n as_o appear_v at_o p_o in_o the_o 27_o figure_n α_n or_o into_o 4_o quarter_n with_o the_o compass_n as_o football_n with_o cross_a quarter_n otherwise_o some_o cut_v they_o into_o 12_o pane_n as_o the_o globe_n be_v caut_v in_o their_o cover_v paper_n but_o by_o their_o too_o many_o seam_n they_o become_v tedious_a and_o subject_a often_o to_o open_v if_o you_o mean_v to_o shoot_v they_o out_o of_o a_o mortar_n or_o other_o piece_n you_o must_v have_v a_o respect_n unto_o the_o bore_n of_o the_o chase_n that_o lopd_v and_o arm_v and_o coated_a it_o may_v near_o fill_v the_o concave_a cilli●der_n and_o if_o you_o intend_v to_o make_v ball_n to_o stick_v and_o fire_n common_o hedgehogge_v you_o have_v sleight_n fill_v your_o ball_n unto_o a_o mark_n must_v take_v two_o cross_a sharp_a barb_a point_a harden_a or_o steel_a iron_n that_o must_v be_v put_v in_o to_o the_o ball_n to_o appear_v through_o on_o each_o side_n as_o at_z 4_o therein_o be_v represent_v or_o load_v it_o with_o cannon_n chamber_n and_o shoot_v as_o at_o c._n these_o may_v be_v pryme_v and_o fire_v before_o they_o be_v put_v in_o to_o the_o piece_n the_o figure_n a_o represent_v invention_n of_o a_o lantern_n or_o case_n that_o with_o a_o pryme_v pipe_n fire_v a_o quick_a receipt_n at_o a_o time_n lunt_v will_v break_v and_o blow_v up_o and_o tear_v all_o

the_o gunner_n show_v the_o whole_a practice_n of_o artillery_n with_o all_o the_o appurtenance_n thereunto_o belong_v together_o with_o the_o make_n of_o extraordinary_a artificial_a firework_n as_o well_o for_o pleasure_n and_o triumph_n as_o for_o war_n and_o service_n write_v by_o robert_n norton_n one_o of_o his_o majesty_n gunner_n and_o enginier_n london_n print_v by_o a._n m._n for_o humphrey_n robinson_n and_o be_v to_o be_v sell_v at_o the_o three_o pigeon_n in_o paules-churchyard_n 1628._o to_o the_o imperial_a majesty_n of_o great_a britain_n france_n and_o ireland_n king_n charles_n almighty_a god_n have_v make_v your_o majesty_n sovereign_a over_o many_o strong_a nation_n natural_o martial_a and_o artificial_o exercise_v in_o arm_n yet_o if_o they_o want_v discipline_n though_o many_o they_o be_v but_o few_o and_o though_o else_o strong_a yet_o therefore_o weak_a your_o mighty_a kingdom_n also_o be_v strong_o situate_v by_o nature_n entrench_v about_o with_o a_o broad_a dike_n the_o sea_n pallisadoe_v with_o rock_n and_o sand_n sentinel_v with_o strange_a set_v tide_n of_o ebb_n and_o flood_n defend_v by_o frequent_a storm_n and_o tempest_n high_o inritch_v with_o fertillity_n of_o nature_n furnish_v plenteous_o with_o all_o manner_n of_o material_o fit_v the_o felicity_n of_o man_n life_n upon_o earth_n both_o for_o time_n of_o peace_n and_o war_n so_o that_o nothing_o can_v seem_v to_o be_v more_o wish_v for_o if_o industry_n be_v use_v but_o especial_o if_o correspondency_n be_v find_v in_o a_o good_a and_o due_a temper_n between_o the_o head_n and_o the_o member_n as_o perfect_a obedience_n and_o service_n from_o the_o member_n to_o the_o head_n and_o entire_a love_n and_o care_n from_o the_o head_n to_o the_o member_n for_o their_o good_a and_o safety_n gun_n your_o majesty_n have_v but_o want_v gunner_n because_o they_o want_v respect_n and_o encouragement_n let_v occasion_n be_v rule_v with_o reason_n war_n manage_v with_o discipline_n judgement_n and_o policy_n let_v stubborn_a offender_n be_v punish_v deserve_v man_n prefer_v eminent_a place_n not_o grant_v for_o favour_n to_o insufficient_a man_n or_o stranger_n have_v honest_a subject_n far_o more_o able_a to_o perform_v the_o service_n so_o we_o shall_v all_o make_v holiday_n to_o serve_v our_o god_n obey_v our_o king_n and_o enjoy_v god_n blessing_n bestow_v upon_o we_o every_o man_n eat_v his_o grape_n under_o his_o own_o vine_n without_o fear_n of_o foreign_a enemy_n to_o conclude_v then_o nothing_o can_v be_v want_v man_n money_n mean_n nor_o prosperity_n when_o the_o god_n of_o order_n have_v settle_v such_o a_o congruity_n now_o that_o your_o majesty_n may_v the_o better_o be_v provide_v hereafter_o of_o understand_v gunner_n to_o manage_v your_o artillery_n the_o powerful_a regent_n of_o modern_a war_n i_o have_v endeavour_v in_o this_o practice_n of_o artillery_n to_o supply_v their_o want_n the_o best_a i_o can_v not_o doubt_v but_o in_o short_a time_n 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fit_a man_n to_o climb_v to_o honour_n and_o to_o wear_v the_o golden_a robe_n but_o now_o these_o time_n do_v differ_v from_o that_o time_n stranger_n respect_v be_v by_o courtier_n crime_n then_o when_o i_o know_v the_o sea_n my_o whole_a delight_n be_v how_o to_o trim_a a_o ship_n prepare_v for_o war_n but_o all_o be_v vain_a till_o gunner_n skill_n and_o may_v with_o practise_a force_n all_o excel_v so_o far_o let_v seaman_n land-man_n all_o man_n true_o know_v that_o gunner_n art_n be_v of_o substance_n not_o of_o show_n the_o land-man_n he_o most_o bold_o make_v approach_n with_o horse_n and_o foot_n with_o sword_n and_o shield_n and_o spear_n but_o all_o be_v vain_a he_o never_o can_v encroach_v if_o gun_n and_o gunner_n shall_v be_v want_v there_o therefore_o such_o artist_n sure_o it_o be_v best_o to_o cherish_v and_o expert_a gunnered_a engeneer_n to_o nourish_v for_o proof_n whereof_o let_v every_o artist_n view_n why_o such_o man_n shall_v not_o to_o preferment_n mount_v peruse_v this_o book_n its_o lynes_n and_o fgure_n true_a so_o may_v he_o find_v the_o difference_n of_o account_n betwixt_o the_o english_a and_o the_o dutch_a norton_n and_o bear_v then_o give_v our_o own_o their_o due_a without_o demor_fw-la lege_fw-la moratur_fw-la in_o lege_fw-la but_o norton_n i_o have_v be_v something_o to_o bold_a to_o paraphrase_n upon_o thy_o worth_n and_o quality_n because_o i_o want_v sufficient_a to_o unfold_v they_o and_o th'ingenious_a work_n reality_n let_v this_o suffice_v thy_o praise_n will_v show_v itself_o it_o be_v worth_a the_o golden-fleece_n the_o indian_a pelf_n captain_n john_n butler_n a_o due_a to_o the_o author_n his_o work_n and_o worth_n since_o among_o all_o nation_n war_n itself_o do_v show_v it_o behoove_v man_n war_n weapon_n for_o to_o know_v who_o here_o may_v learn_v the_o gunner_n aim_v art_n which_o thy_o free_a industry_n to_o all_o impart_v the_o fit_a subject_n now_o it_o be_v by_o far_o at_o these_o time_n when_o such_o rumour_n be_v of_o war_n and_o fill_v the_o ear_n and_o courage_n awake_v go_v on_o then_o and_o to_o thou_o this_o glory_n take_v that_o he_o that_o read_v these_o thing_n which_o thou_o do_v write_v may_v know_v a_o gunner_n part_n though_o he_o never_o fight_v and_o know_v war_n chief_a engine_n use_v and_o strength_n in_o boar_n cilind_a axis_n and_o in_o length_n in_o touchhole_n carriage_n wadd_a in_o shot_n and_o charge_n of_o firework_n in_o brief_a thou_o speak_v at_o large_a french_a spanish_a dutch_a italian_a vail_v your_o cap_n to_o nortons_n skill_n in_o mars_n his_o thunderclaps_a john_n rudstone_n a_o lover_n of_o the_o art_n mathematical_a theoric_n and_o practic_n to_o his_o good_a friend_n master_n robert_n norton_n on_o his_o practice_n of_o artillery_n i_o tell_v you_o friend_n before_o your_o book_n i_o will_v write_v but_o not_o idolatrise_v with_o poetic_a spirit_n do_v our_o love_n much_o wrong_n in_o little_a right_n the_o time_n necessity_n and_o each_o studious_a mind_n will_v make_v it_o praise_v itself_o which_o you_o shall_v find_v by't_n oft_o impression_n thou_o be_v being_n here_o refine_v yet_o just_o i_o confess_v i_o have_v be_v show_v book_n that_o sell_v well_o yet_o not_o for_o what_o be_v their_o own_o but_o for_o commendator_n before_o they_o know_v and_o this_o integrity_n command_v i_o say_v that_o to_o the_o truth_n thou_o show_v the_o right_a way_n for_o young_a artist_n and_o here_o the_o old_a may_v stay_v for_o here_o they_o be_v satissy_v with_o small_a dispense_n of_o purse_n or_o brain_n of_o skill_n the_o quintessence_n draw_v from_o the_o antic_a artist_n excellence_n i_o know_v rich_a jewel_n may_v themselves_o commend_v which_o be_v such_o book_n that_o for_o the_o public_a end_n with_o judgement_n write_v be_v so_o thy_o good_a friend_n richard_n robinson_n in_o the_o due_a honour_n of_o the_o author_n master_n robert_n norton_n and_o his_o worke._n perfection_n if_o it_o have_v ever_o be_v attain_a in_o gunner_n art_n this_o author_n have_v it_o gain_v by_o study_n and_o experience_n and_o he_o the_o fruit_n of_o all_o his_o pain_n have_v offer_v thou_o a_o present_a well_o befit_v this_o our_o age_n when_o all_o the_o world_n be_v but_o a_o martial_a stage_n let_v sweet_a study_n lull_v a_o sleep_n and_o please_v man_n who_o presume_v security_n but_o these_o thy_o labour_n practise_v shall_v more_o safe_o guard_v those_o that_o foresee_v the_o danger_n the_o other_a bare_a this_o benefit_n we_o soldier_n do_v embrace_v this_o rare_a and_o useful_a work_n and_o over_o the_o face_n of_o all_o the_o world_n let_v thy_o fame_n echo_n sound_n more_o than_o that_o roar_a engine_n and_o redound_v to_o the_o honour_n of_o our_o nation_n that_o thy_o pain_n transcend_v all_o former_a and_o their_o glory_n stain_v captain_n john_n smith_n hungariensis_n a_o table_n of_o the_o content_n definition_n page_n 1_o demand_n page_n 2_o

direct_a line_n and_o basilius_n and_o ep_v meet_v extend_v in_o f_o therefore_o because_o the_o angle_n acb_n and_o e_o and_o dcb_n and_o b_o be_v equal_a bf_a and_o cb_n will_v be_v parallel_n and_o also_o ac_fw-la and_o of_o and_o acdf_n 28.6_o acdf_n 28.6_o a_o parallelogram_n and_o the_o 12_o propo_fw-it 6._o three_o line_n be_v give_v to_o find_v a_o four_o proportional_a and_o the_o 13_o propo_fw-it 6._o two_o right_a line_n ab_fw-la bc_n be_v give_v to_o find_v a_o mean_a proportional_a between_o they_o set_a the_o two_o right_a line_n give_v in_o one_o direct_v live_v as_o ab_fw-la bc_n upon_o all_o that_o line_n ac_fw-la describe_v the_o semicircle_n adc_n and_o from_o b_o 11.1_o b_o 11.1_o raise_v the_o perpendicular_a line_n bd_o and_o draw_v ad_fw-la cd_o therefore_o adc_n be_v a_o right_a angle_n be_v in_o a_o semicircle_n and_o bd_o the_o perpendicular_a make_v two_o triangle_n abdella_n and_o cbd_v 8.6_o cbd_v 8.6_o equiangle_v and_o therefore_o proportional_a therefore_o bd_o be_v the_o mean_a proportional_a and_o the_o 17_o propo_fw-it 6._o if_o three_o right_a line_n be_v proportional_a as_o a_o to_o b_o sa_o b_o to_z c_z than_o that_o rectangle_n that_o be_v make_v of_o the_o extreme_n a_o and_o c_o shall_v be_v equal_a to_o that_o which_o be_v make_v of_o the_o mean_a b._n because_o the_o mean_a proportional_a b_o be_v twice_o put_v it_o will_v be_v as_o in_o the_o 16._o pro._n that_o 4_o right_a line_n about_o 4_o right_a equal_a angle_n be_v 14.6_o be_v 1._o def._n 6._o 14.6_o reciprocal_o proportional_o therefore_o rectangle_v and_o equal_a and_o contrariwise_o be_v equal_o rectangle_v about_o right_a angle_n they_o have_v their_o side_n reciprocal_o proportional_n viz._n as_o a_o to_o b_o so_o be_v the_o same_o b_o to_z d_o which_o be_v to_o be_v show_v and_o the_o 25_o propo_fw-it 6._o any_o right_n line_v figure_n give_v a_o like_a and_o in_o like_a sort_n place_v to_o make_v another_o equal_a to_o the_o give_v and_o last_o the_o 14._o propo_fw-it 11._o to_o what_o plane_n soever_o ed_z and_o of_o the_o same_o right_a line_n figure_n ab_fw-la be_v right_a they_o be_v parallel_n if_o they_o be_v not_o parallel_n be_v produce_v they_o will_v concur_v to_o the_o part_n c_o e_o and_o 3.11_o and_o 3.11_o make_v the_o section_n gh_v a_o right_a line_n in_o which_o any_o where_n take_v the_o point_n i_o and_o draw_v ja_z ib_n in_o the_o plane_n gcd_v and_o gef_a and_o so_o when_o as_o ab_fw-la be_v place_v right_o to_o either_o it_o will_v be_v the_o plane_n of_o the_o triangle_n aib_n the_o angle_v labernele_n and_o jab_n will_v beright_o which_o be_v nevertheless_o 17.1_o nevertheless_o 17.1_o lesser_a than_o right_a angle_n to_o measure_v inaccessible_a height_n breadth_n and_o distance_n and_o take_v a_o plat_n by_o my_o cosmodelite_n with_o the_o description_n thereof_o upon_o the_o semicircle_n under_o the_o cosmodelyte_n there_o be_v two_o square_n geometrical_a each_o side_n of_o they_o be_v divide_v into_o 120_o equal_a part_n and_o upon_o the_o centre_n of_o that_o semicircle_n a_o rule_n or_o index_n with_o the_o two_o sight_n over_o or_o parallel_v unto_o the_o fiducial_a edge_n thereof_o as_o suppose_v i_o be_v to_o measure_v the_o distance_n from_o i_o to_o a_o tree_n to_o do_v which_o place_n the_o semicircle_n so_o that_o the_o index_n lay_v upon_o the_o dyametrall_a line_n may_v direct_v with_o the_o sight_n to_o the_o tree_n or_o mark_n then_o lay_v the_o index_n upon_o the_o semidiametre_n that_o be_v perpendicular_a to_o the_o dyametrall_a line_n and_o choose_v some_o mark_n of_o competent_a distance_n whereunto_o the_o sight_n dírect_v or_o else_o measure_v 20_o or_o 100_o yard_n pace_n or_o foot_n in_o that_o line_n and_o there_o set_v a_o mark_n and_o then_o leave_v a_o mark_n where_o you_o first_o stand_v remone_v your_o instrument_n thither_o and_o by_o the_o semidiametrall_a line_n look_v back_o to_o the_o first_o station_n or_o mark_n thereby_o you_o may_v place_v the_o semicircle_n in_o the_o first_o position_n which_o do_v turn_v the_o index_n unto_o the_o tree_n or_o mark_n who_o distance_n you_o be_v to_o measure_v and_o see_v what_o number_n of_o those_o 120_o part_n it_o cut_v then_o say_v by_o the_o rule_n of_o 3_o if_o 120_o all_o the_o part_n the_o part_n cut_v as_o suppose_v it_o be_v 80._o what_o shall_v 300_o yard_n which_o i_o imagine_v be_v measure_v between_o the_o first_o and_o second_o station_n give_v multiply_v the_o three_o number_n 300_o by_o 80_o the_o second_o number_n produce_v 8000_o which_o divide_v by_o 120_o the_o first_o number_n yield_v 66_o yard_n 2_o 3_o the_o distance_n so_o right_o to_o measure_v the_o breadth_n of_o a_o breach_n lay_v on_o the_o index_n upon_o the_o dyametral_a line_n and_o turn_v that_o to_o one_o side_n of_o the_o breach_n and_o the_o instrument_n remain_v in_o that_o position_n note_v the_o number_n the_o index_n will_v cut_v when_o it_o be_v turn_v with_o his_o sight_n to_o respect_v the_o other_o side_n of_o the_o breach_n then_o go_v forward_o or_o backward_o until_o you_o see_v the_o last_o side_n of_o the_o breach_n by_o some_o other_o number_n of_o part_n let_v a_o convenient_a distance_n between_o the_o station_n and_o note_v the_o difference_n of_o those_o part_n and_o the_o distance_n of_o the_o station_n measure_v suppose_v 50_o yard_n and_o the_o difference_n of_o part_n to_o 20._o say_v by_o the_o rule_n of_o three_o if_o 120_o all_o the_o part_n give_v 20_o the_o part_n cut_v by_o aspect_n of_o the_o index_n what_o shall_v 50_o yard_n give_v multiply_v 70_o by_o 50_o produce_v 3500_o which_o divide_v by_o 120_o yield_v 20_o yard_n and_o 〈◊〉_d part_n of_o a_o yard_n the_o breadth_n of_o the_o breach_n seek_v a_o height_n be_v take_v in_o the_o same_o manner_n only_o reverse_v the_o plane_n of_o the_o instrument_n perpendicular_a which_o before_o do_v lie_v horizontal_o imitate_v the_o rest_n of_o the_o work_n as_o aforesaid_a to_o measure_v the_o height_n of_o any_o tower_n or_o other_o thing_n by_o the_o shadow_n be_v make_v the_o sun_n shine_v take_v a_o staff_n and_o place_n it_o perpendicular_o near_o the_o shadow_n you_o desire_v to_o measure_v mark_v the_o two_o shadow_n of_o the_o tower_n and_o of_o the_o staff_n than_o such_o as_o the_o shadow_n of_o the_o staff_n have_v proportion_n to_o the_o staff_n such_o have_v the_o shadow_n of_o the_o tower_n to_o the_o tower_n height_n example_n let_v we_o suppose_v the_o length_n of_o the_o shadow_n of_o the_o staff_n to_o be_v 12_o hand-breadth_n and_o the_o shadow_n of_o the_o tower_n to_o be_v 45_o foot_n the_o staff_n be_v 8_o hand_n breadth_n then_o say_v by_o the_o rule_n of_o proportion_n if_o 12_o give_v 8_o what_o shall_v 45_o give_v work_n and_o you_o shall_v have_v 30_o foot_n for_o the_o height_n of_o the_o tower_n seek_v to_o measure_v the_o height_n of_o a_o tower_n by_o a_o lookingglass_n or_o the_o shadow_n thereof_o in_o a_o puddle_n of_o water_n svppose_v there_o be_v a_o tree_n or_o tower_n who_o height_n we_o desire_v to_o know_v take_v a_o flat_a mirror_n or_o looking-glass_n and_o lay_v it_o level_v or_o horizontal_o upon_o the_o ground_n some_o distance_n from_o the_o tree_n or_o tower_n and_o then_o go_v backwards_o until_o in_o behold_v in_o the_o glass_n you_o thereby_o see_v the_o top_n of_o the_o tree_n or_o tower_n your_o distance_n from_o the_o glass_n have_v proportion_n to_o the_o height_n of_o your_o eye_n such_o as_o the_o distance_n from_o the_o glass_n unto_o the_o point_n right_o under_o the_o top_n of_o the_o tree_n or_o tower_n be_v to_o the_o height_n of_o the_o say_a tree_n or_o tower_n as_o for_o example_n suppose_v the_o distance_n between_o the_o glass_n and_o the_o tower_n be_v 48_o foot_n and_o the_o distance_n between_o you_o and_o the_o glass_n be_v 4_o foot_n and_o the_o height_n of_o your_o eye_n above_o the_o level_a of_o the_o glass_n to_o be_v 6_o foot_n say_v if_z 4_o give_v 6_o what_o will_v 48_o give_v multiply_v 48_o by_o 6_o produce_v 288_o which_o divide_v by_o 4_o giveat_n in_o the_o quotient_a 72_o for_o the_o height_n of_o the_o tree_n or_o tower_n seek_v to_o find_v any_o distance_n height_n or_o breadth_n by_o resolve_v the_o triangle_n make_v by_o station_n and_o mark_n suppose_v that_o b_o c_o in_o the_o triangle_n a_o b_o c_o be_v the_o height_n of_o a_o tower_n and_o let_v it_o be_v require_v to_o find_v the_o measure_n thereof_o and_o of_o the_o hypothenusall_n line_n ab_fw-la first_o measure_v the_o distance_n from_o a_o to_o c_o suppose_v 40_o pace_n then_o by_o the_o cosmodelite_n or_o other_o instrument_n plant_v at_o a_o take_v the_o quantity_n of_o the_o angle_n bac_n 30_o degree_n then_o by_o consequent_a the_o angle_n abc_n