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Word A Word B Word C Word D Occurrence Frequency Band MI MI Band Prominent
end_n compass_n foot_n line_n 1,942 5 9.5106 5 true
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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

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may_v be_v break_v asunder_o or_o pull_v out_o with_o the_o pincher_n c_o and_o the_o draw_v hammer_n d_o and_o the_o mallet_n of_o hard-wood_n i_o and_o the_o short_a axe-wedge_n 2_o next_o to_o those_o instrument_n the_o drift_n bridge_n between_o they_o represent_v be_v invent_v to_o reach_v over_o a_o dyke_n and_o to_o put_v any_o town_n or_o fort_n to_o the_o scalado_n it_o be_v not_o much_o unlike_o the_o cartbridge_n use_v for_o the_o pettard_n as_o before_o may_v be_v see_v in_o his_o chapter_n but_o that_o it_o be_v not_o so_o great_a and_o heavy_a as_o it_o chap._n xvii_o how_o to_o dispart_v any_o piece_n of_o ordnance_n that_o be_v true_o and_o equal_a bore_v in_o the_o midst_n of_o the_o mettle_n thereof_o of_o all_o thing_n belong_v unto_o a_o gunner_n the_o chief_a be_v to_o bring_v the_o metal_n of_o his_o piece_n even_o
lagen_fw-ge point_v du_fw-fr nueau_fw-fr punct_a der_fw-mi wagen_n there_o may_v 40_o foot_n of_o ground_n and_o for_o the_o thickness_n thereof_o it_o must_v ●e_v 21_o or_o 22_o foot_n with_o 27_o or_o 30_o foot_n for_o reverse_v for_o each_o piece_n make_v almost_o 100_o foot_n in_o all_o and_o leave_v yet_o thirty_o foot_n more_o at_o least_o from_o the_o say_v reverse_v to_o the_o other_o parapet_n of_o the_o same_o bulwark_n to_o the_o end_n there_o may_v he_o no_o impeachment_n but_o that_o the_o troop_n may_v march_v and_o pass_v to_o the_o defence_n require_v free_o and_o have_v also_o room_n to_o plant_v three_o piece_n of_o ordnance_n upon_o each_o of_o the_o shoulder_n of_o the_o same_o which_o will_v also_o require_v 65_o some_o of_o ground_n at_o the_o least_o the_o trounier_n or_o loop_n be_v to_o be_v 3_o foot_n broad_a within_o and_o distant_a 20_o foot_n one_o from_o another_o have_v within_o the_o platform_n 3_o foot_n of_o barb_n and_o without_o 9_o foot_n of_o breadth_n and_o every_o where_o 8_o foot_n of_o height_n these_o three_o loop_n must_v have_v a_o counter_a loop_n at_o the_o parapet_n of_o the_o bulwark_n have_v in_o the_o midst_n 4_o within_o 6_o and_o without_o 8_o foot_n in_o breadth_n and_o deep_a that_o it_o be_v even_o with_o the_o terraplene_n now_o from_o these_o loop_n there_o must_v be_v as_o we_o have_v say_v so_o much_o room_n that_o within_o the_o shouldring_n there_o may_v be_v 3_o piece_n distant_a 20_o foot_n asunder_o now_o two_o or_o three_o of_o these_o shouldring_n discharge_v their_o three_o piece_n traverse_v croswise_o to_o the_o enemy_n battery_n beat_v so_o upon_o they_o that_o they_o must_v be_v force_v to_o quit_v the_o place_n and_o although_o the_o euemie_n abroad_o may_v beat_v the_o coverture_n of_o the_o outmost_a loop_n yet_o can_v they_o neither_o for_o the_o inner_a loop_n not_o the_o piece_n within_o come_v to_o touch_v any_o of_o they_o but_o you_o may_v note_v that_o such_o battery_n can_v be_v make_v in_o a_o narrow_a or_o straight_a place_n as_o i_o have_v say_v without_o demolish_n structure_n and_o raise_v the_o ground_n so_o that_o it_o be_v level_a with_o the_o terraplene_n of_o the_o bulwark_n which_o will_v otherwise_o be_v too_o small_a for_o that_o purpose_n and_o have_v finish_v they_o they_o be_v not_o to_o serve_v for_o one_o place_n only_o but_o they_o may_v turn_v those_o shouldring_n and_o defence_n and_o make_v the_o piece_n thunder_v about_o on_o all_o side_n where_o the_o enemy_n will_v settle_v himself_o chap._n xlix_o of_o certain_a reason_n that_o cause_v a_o shott_n though_o well_o direct_v to_o err_v in_o her_o discharge_n and_o be_v faulty_a at_o the_o mark_v wide_a short_a or_o over_o there_o be_v very_o many_o cause_n and_o accident_n that_o may_v make_v a_o shott_n well_o direct_v to_o deviate_v from_o the_o expect_a course_n the_o first_o be_v when_o as_o the_o soul_n or_o bear_v of_o the_o piece_n lie_v awry_o in_o the_o body_n or_o mettle_n thereof_o or_o that_o the_o chase_n or_o vacant_a cillind_a the_o director_n of_o the_o shott_n be_v not_o straight_o wherefore_o the_o gunner_n may_v receive_v disgrace_n but_o have_v examine_v and_o find_v the_o fault_n he_o be_v to_o supply_v the_o defect_n by_o discretion_n and_o skill_n and_o if_o the_o trunion_n also_o be_v not_o due_o place_v direct_o in_o a_o dyagonall_a line_n with_o the_o axis_n of_o the_o piece_n it_o will_v be_v wide_a likewise_o if_o the_o platform_n be_v unequal_a as_o high_a upon_o one_o side_n then_o the_o other_o also_o if_o the_o gunner_n lie_v the_o high_a of_o the_o mettle_n at_o mouth_n and_o breech_n it_o will_v shoot_v over_o if_o it_o be_v within_o distance_n if_o one_o wheel_n be_v high_a than_o another_o also_o if_o one_o wheel_n go_v stiff_a than_o the_o other_o or_o if_o one_o wheel_n meet_v with_o a_o squat_a by_o a_o stone_n or_o otherwise_o when_o the_o nave_n be_v one_o long_o &_o wide_o then_o the_o other_o when_o one_o wheel_n reverse_v go_v on_o soft_a ground_n the_o other_o on_o hard_a when_o the_o carriage_n or_o trunion_n ear_n be_v high_a &_o low_a one_o than_o another_o if_o the_o carriage_n be_v too_o wide_o so_o that_o the_o piece_n lie_v not_o fast_o the_o rein_n but_o start_v in_o her_o discharge_n if_o the_o shot_n be_v not_o equal_o round_a or_o the_o bear_v of_o the_o piece_n not_o lie_v straight_o but_o more_o on_o the_o one_o side_n of_o the_o mettle_n than_o the_o other_o the_o vehemency_n of_o the_o wind_n with_o against_o or_o aside_o may_v drive_v the_o shot_n forward_o back_o it_o or_o devie-at_a it_o aside_o the_o thickness_n and_o thinness_n of_o the_o air_n the_o heat_n and_o cool_v the_o sleight_n or_o hard_o ram_v of_o the_o powder_n put_v home_n or_o short_a the_o shot_n and_o last_o the_o want_n of_o skill_n and_o experience_n all_o these_o and_o many_o more_o may_v be_v cause_n of_o the_o fail_a of_o a_o shott_n at_o a_o assign_a mark_n which_o i_o think_v fit_a here_o to_o note_v at_o last_o not_o to_o minister_v matter_n of_o excuse_n to_o ignorant_a negligent_a careless_a gunner_n but_o to_o advise_v the_o discreet_a gunner_n to_o have_v a_o vigilant_a eye_n and_o consideration_n of_o all_o or_o as_o many_o of_o those_o accident_n with_o reason_n &_o of_o the_o former_a direction_n to_o avoid_v or_o amend_v they_o as_o well_o as_o he_o can_v at_o first_o to_o fail_v at_o the_o first_o shot_n if_o he_o be_v not_o acquaint_v with_o the_o piece_n and_o mark_n be_v passable_a and_o at_o the_o second_o to_o fail_v be_v pardonable_a but_o to_o fail_v of_o a_o fair_a shot_n at_o the_o three_o time_n be_v too_o much_o and_o argue_v but_o little_a judgement_n and_o discretion_n in_o such_o a_o gunner_n chap._n l._n how_o to_o conduct_v a_o mine_n under_o ground_n to_o blow_v up_o a_o place_n and_o to_o prepare_v a_o gallery_n to_o pass_v the_o dyke_n to_o the_o foot_n of_o the_o breach_n the_o use_n of_o mining_n be_v ancient_a and_o be_v common_o use_v by_o the_o persian_a greek_a parthian_a roman_n and_o other_o nation_n that_o have_v manage_v great_a war_n and_o no_o marvel_n for_o that_o the_o same_o be_v the_o easy_a and_o most_o proper_a mean_n to_o force_v a_o place_n but_o pietre_n navarro_n a_o spaniard_n be_v the_o first_o that_o invent_v the_o fowrne_n and_o the_o use_n of_o powder_n therein_o for_o which_o and_o some_o other_o service_n the_o emperor_n charles_n the_o five_o give_v he_o the_o name_n of_o a_o conde_n and_o great_a reward_n beside_o yet_o nevertheless_o there_o be_v nothing_o more_o dangerous_a for_o such_o as_o work_v in_o these_o mine_n by_o reason_n the_o countermine_n of_o the_o enemy_n so_o that_o if_o there_o be_v any_o suspicion_n of_o countermine_v it_o will_v not_o be_v amiss_o to_o divert_v the_o course_n with_o all_o dexterity_n either_o towards_o the_o right_n or_o left_a hand_n as_o the_o occasion_n of_o the_o place_n will_v permit_v and_o forasmuch_o as_o according_a to_o the_o natural_a effect_n of_o fear_n it_o behove_v the_o besiege_a to_o seek_v out_o the_o short_a and_o near_a way_n possible_a to_o offend_v the_o enemy_n abroad_o by_o countermine_n or_o otherwise_o the_o mine-master_n than_o may_v sink_v his_o mine_n and_o conduct_v the_o same_o either_o as_o in_o the_o 16_o figure_n at_o α_n be_v describe_v by_o the_o letter_n from_o a_o by_o b_o to_z c_z or_o as_o the_o other_o 4_o square_a angular_a course_n and_o there_o to_o prepare_v the_o fourne_n which_o may_v be_v arm_v with_o powder_n in_o barrel_n so_o that_o give_v fire_n thereunto_o by_o a_o train_n he_o blow_v up_o the_o place_n and_o the_o enemy_n above_o it_o and_o to_o the_o end_n the_o same_o hurt_v not_o the_o pioneer_n or_o workman_n that_o dig_v and_o travel_v therein_o it_o will_v be_v needful_a to_o line_n the_o same_o with_o spar_v and_o board_n frame_v according_o seven_o foot_n in_o height_n and_o 5_o foot_n in_o breadth_n but_o it_o must_v be_v cover_v with_o 2_o inch_n plank_n to_o keep_v up_o the_o earth_n but_o if_o the_o ground_n be_v moist_a or_o full_a of_o spring_n a_o gutter_n with_o 2_o descent_n must_v be_v make_v that_o the_o water_n may_v run_v to_o some_o low_a evacuation_n if_o that_o can_v be_v a_o well_o at_o the_o mouth_n of_o the_o mine_n must_v be_v make_v for_o a_o receptackle_n for_o all_o the_o spring_n to_o run_v into_o by_o their_o gunter_n and_o pumpsor_n forcer_n be_v to_o be_v set_v sufficient_a to_o mount_v the_o water_n that_o it_o may_v after_o find_v a_o current_n to_o run_v away_o but_o if_o there_o be_v any_o suspicion_n of_o countermine_v then_o always_o forward_o in_o your_o intend_a course_n you_o may_v bore_v long_a hole_n in_o the_o earth_n with_o your_o
reinforce_v or_o double_a fortify_v the_o two_o middlemost_a of_o a_o ordinary_a and_o the_o two_o undermost_a of_o a_o lessen_v piece_n both_o cannon_n and_o culvering_n with_o all_o their_o measure_n by_o which_o also_o their_o sort_n and_o all_o other_o ordnance_n in_o their_o due_a measure_n will_v be_v the_o better_a conceive_a and_o manifest_v as_o for_o example_n there_o be_v a_o culvering_a that_o shoot_v a_o iron_n shoot_v of_o 17_o lb._n weight_n with_o 13_o lb._n of_o corn_n powder_n which_o be_v ⅘_n of_o the_o weight_n of_o her_o shot_n and_o the_o question_n be_v whether_o she_o may_v be_v able_a to_o bear_v so_o much_o powder_n or_o if_o need_n be_v more_o which_o can_v be_v well_o answer_v without_o the_o examine_n or_o tertiar_v her_o mettle_n but_o have_v already_o search_v she_o as_o in_o the_o precedent_a chapter_n be_v show_v and_o find_v her_o sound_n and_o free_a except_o the_o defect_n therein_o mention_v you_o may_v measure_v and_o tertiate_v she_o to_o answer_v the_o question_n as_o follow_v first_o with_o a_o ruler_n draw_v a_o right_a line_n upon_o a_o paper_n slate_n or_o flat_a smooth_a previous_a error_n not_o modified_a board_n as_o in_o the_o say_v 18_o figure_n be_v describe_v from_o a_o to_o b_o then_o with_o a_o pair_n of_o compass_n with_o strait_a or_o reverse_a point_n take_v the_o dyametre_n or_o wideness_n of_o the_o boar_n of_o the_o piece_n and_o place_v that_o measure_n from_o a_o towards_o b_o at_o c_o which_o space_n between_o a_o and_o c_o you_o must_v divide_v into_o two_o equal_a part_n and_o then_o with_o the_o compass_n open_v to_o one_o of_o those_o part_n set_v the_o same_o upon_o another_o right_a line_n as_o at_o the_o point_n d_o and_o with_o the_o other_o foot_n draw_v a_o circle_n which_o will_v be_v true_o equal_a in_o dyametre_n unto_o the_o height_n of_o the_o boar_n as_o may_v appear_v by_o the_o circle_n afcq_n and_o equal_a to_o the_o right_a line_n ac_fw-la then_o with_o a_o pair_n of_o caliber_n compass_n take_v the_o thickness_n or_o dyametre_n of_o the_o mettle_n of_o the_o breech_n at_o the_o touchhole_n which_o distance_n between_o the_o point_n you_o must_v divide_v into_o two_o equal_a part_n and_o then_o the_o compass_n be_v open_v to_o one_o of_o they_o and_o one_o foot_n set_v in_o d_o with_o the_o other_o describe_v the_o other_o circle_n gh_n which_o shall_v be_v equal_a to_o the_o circumference_n of_o the_o mettle_n at_o the_o touchhole_n and_o so_o the_o thickness_n of_o the_o mettle_n or_o distance_n between_o the_o say_v 2_o circle_n will_v show_v the_o quantity_n between_o f_o and_o h_n and_z e_z and_z g._n and_o see_v that_o the_o distance_n from_o f_o to_o h_n be_v equal_a to_o the_o distance_n from_o e_z to_o f_o which_o be_v the_o dyametre_n of_o the_o height_n of_o the_o boar_n he_o may_v be_v therefore_o sure_a that_o it_o be_v a_o ordinary_a or_o common_a fortify_v culver_v but_o whether_o it_o be_v either_o a_o bastard_n or_o a_o extraordinary_a culver_v it_o can_v be_v know_v by_o the_o fortification_n but_o by_o the_o length_n thereof_o be_v long_o than_o the_o ordinary_a it_o be_v call_v therefore_o a_o extraordinary_a culver_v etc._n etc._n and_o be_v short_a than_o the_o ordinary_a it_o be_v therefore_o call_v a_o bastard_n culver_v now_o than_o this_o be_v find_v to_o be_v a_o ordinary_a culver_v she_o will_v bear_v 〈◊〉_d of_o the_o weight_n of_o her_o shot_n in_o canon_n powder_n which_o amount_v unto_o 13_o lb._n 9_o oz._n but_o to_o be_v more_o assure_v of_o her_o fortitude_n the_o measure_n of_o her_o mettle_n may_v be_v likewise_o take_v at_o her_o trunnion_n and_o neck_n as_o follow_v at_o the_o cornish_a or_o ring_n before_o her_o trunnion_n with_o a_o pair_n of_o calibre_n compass_n you_o may_v take_v the_o dyametre_n of_o the_o body_n of_o mettle_n there_o as_o you_o do_v before_o at_o the_o touchhole_n and_o also_o divide_v the_o distance_n between_o the_o point_n or_o end_n of_o the_o compass_n into_o two_o equal_a part_n with_o the_o compass_n open_v to_o one_o of_o those_o part_n set_v one_o foot_n in_o d_o make_v with_o the_o other_o the_o circle_n il_fw-fr and_o if_o you_o find_v 7_o 1_o of_o the_o bore_n it_o be_v the_o proportional_a fortification_n for_o a_o ordinary_a culver_v and_o the_o like_a may_v be_v do_v for_o the_o neck_n which_o the_o circle_n mn_n will_v equalise_v and_o represent_v and_o the_o distance_n from_o f_o to_o n_n be_v ½_n of_o the_o height_n of_o her_o bore_n and_o the_o due_a thickness_n of_o the_o mettle_n for_o a_o ordinary_a culver_v at_o the_o neck_n confirm_v the_o former_a measure_n and_o proof_n but_o if_o in_o take_v the_o measure_v aforesaid_a there_o have_v be_v find_v in_o her_o chamber_n at_o the_o touchhole_n from_o f_o to_o h_n the_o thickness_n of_o one_o dyametre_n of_o the_o bore_n and_o 〈◊〉_d more_o it_o have_v be_v a_o sign_n the_o piece_n to_o be_v double_o fortify_v or_o reinforce_v have_v also_o at_o the_o trunnion_n fl_fw-mi 1_o 16_o &_o at_o the_o neck_n fn_n 9_o 16_o of_o the_o height_n or_o calibre_n of_o her_o boar_n then_o she_o shoot_v a_o iron_n shoot_v of_o 17_o lb._n will_v have_v endure_v also_o 17_o lb._n of_o cannon_n corn_n powder_n to_o be_v load_v with_o and_o be_v fire_v within_o she_o without_o danger_n and_o this_o will_v so_o have_v convey_v the_o shot_n further_o than_o the_o ordinary_a can_v have_v do_v upon_o like_a degree_n of_o mounture_n contrariwise_o if_o the_o circle_n there_o have_v be_v find_v that_o from_o f_o to_o h_n but_o ⅞_n of_o her_o calibre_n of_o the_o bear_v at_o the_o touchhole_n and_o at_o the_o touchhole_n but_o ¾_n for_o fl_fw-mi and_o at_o the_o neck_n from_o f_o to_o n_n but_o 7_o 16_o of_o the_o height_n of_o her_o bore_n then_o she_o appear_v to_o be_v one_o of_o the_o lessen_v or_o slender_a fortify_v culvering_n and_o must_v be_v allow_v but_o 12_o lb._n 9_o oz._n of_o cannon_n corn_n to_o convey_v her_o iron_n shoot_v of_o 17_o lb._n which_o upon_o like_a 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unto_o the_o degree_n assign_v if_o you_o be_v to_o embase_v the_o piece_n those_o line_n and_o number_n also_o set_v above_o the_o first_o name_v mark_v will_v perform_v the_o like_a office_n there_o in_o the_o thing_n require_v chap._n xxxv_o how_o to_o find_v the_o right_a line_n or_o right_a range_n of_o any_o shot_n discharge_v out_o of_o any_o piece_n for_o every_o elevation_n by_o any_o one_o right_a or_o dead_a range_v give_v for_o the_o piece_n assign_v if_o the_o range_v give_v be_v the_o right_n range_v say_v by_o the_o rule_n of_o three_o if_o the_o tabular_a number_n find_v in_o the_o table_n of_o dead_a range_v for_o the_o degree_n of_o the_o range_v give_v give_v the_o number_n of_o know_a measure_n in_o that_o range_v what_o shall_v the_o tabular_a number_n of_o the_o table_n of_o right_n range_v proper_a to_o the_o degree_n assign_v give_v and_o have_v multiply_v and_o divide_v they_o due_o the_o four_o number_n will_v be_v the_o right_n range_v or_o right_a line_n for_o the_o peecesought_v example_n 1._o svppose_v you_o be_v to_o seek_v the_o right_n range_v of_o 30_o degree_n for_o that_o piece_n who_o dead_a range_v for_o 30_o degree_n be_v give_v or_o know_v to_o be_v 2200_o pace_n by_o it_o multiply_v the_o tabular_a number_n of_o right_n range_v for_o 30_o degree_n which_o be_v 695_o and_o divide_v the_o product_n by_o 2150_o the_o tabular_a number_n for_o 30_o degree_n in_o the_o table_n of_o dead_a range_v and_o the_o quotient_n will_v be_v 711_o pace_n for_o the_o line_n or_o right_o range_v of_o that_o piece_n mount_v and_o discharge_v at_o 30_o degree_n elevation_n example_n 2._o svppose_v the_o level_a right_n range_v be_v give_v and_o the_o right_n range_v for_o 30_o degree_n mounture_o be_v seek_v say_v if_o 192_o the_o first_o number_n in_o the_o table_n of_o right_n range_v give_v 695_o the_o tabular_a number_n thereof_o for_o 30_o degree_n what_o shall_v 197_o pace_n the_o level_a right_n range_v give_v give_v multiply_v the_o three_o by_o the_o second_o and_o devide_v by_o the_o first_o and_o the_o quotient_a will_v be_v 713_o pace_n for_o the_o right_n range_v seek_v the_o difference_n be_v that_o table_n can_v be_v so_o exact_o calculate_v but_o by_o omit_v small_a fraction_n small_a difference_n will_v grow_v apparent_a by_o work_v one_o question_n or_o example_n diverse_a way_n which_o let_v suffice_v chap._n xxxvi_o to_o find_v how_o much_o of_o the_o horizontall_a line_n be_v contain_v direct_o under_o the_o right_a line_n or_o right_o range_v of_o any_o shot_n make_v out_o of_o any_o piece_n at_o every_o elevation_n assign_v have_v by_o the_o last_o chapter_n find_v the_o number_n of_o pace_n the_o piece_n will_v carry_v her_o shot_n in_o a_o right_a line_n be_v due_o discharge_v at_o any_o elevation_n assign_v multiply_v the_o same_o by_o the_o right_n sine_fw-la of_o the_o compliment_n of_o the_o degree_n of_o mounture_n and_o divide_v the_o product_n by_o the_o whole_a sine_fw-la and_o the_o quotient_n will_v be_v the_o number_n of_o pace_n or_o such_o like_a measure_n contain_v in_o the_o level_a direct_o under_o the_o right_n range_v seek_v example_n be_v it_o propound_v how_o to_o find_v what_o part_n of_o the_o horizontall_a line_n lie_v direct_o under_o the_o right_n range_v of_o the_o piece_n assign_v at_o 30_o degree_n elevation_n the_o right_a range_v at_o 30_o grade_n by_o the_o precedent_n be_v find_v to_o be_v 713_o pace_n and_o the_o right_a sine_fw-la of_o 60_o grade_n the_o compliment_n of_o 30_o be_v 866_o be_v multiply_v together_o and_o the_o product_v divide_v by_o 1000_o the_o whole_a sine_fw-la leave_v in_o the_o quotient_a 617_o for_o the_o number_n of_o pace_n lie_v direct_o under_o the_o right_n range_v seek_v chap._n xxxvii_o to_o find_v how_o much_o of_o the_o horizontall_a line_n lie_v under_o the_o crooked_a range_v of_o a_o shot_n make_v out_o of_o any_o piece_n at_o any_o elevation_n assign_v the_o crooked_a range_n be_v so_o much_o as_o the_o course_n or_o way_n of_o the_o shot_n as_o it_o go_v helical_o between_o the_o right_n range_v and_o the_o natural_a or_o perpendicular_a motion_n or_o before_o it_o make_v the_o first_o graze_v and_o may_v be_v thus_o find_v either_o by_o deduct_v of_o the_o level_a distance_n contain_v direct_o under_o the_o right_a line_n or_o right_o range_v of_o any_o shot_n make_v find_v by_o the_o last_o chapter_n out_o of_o the_o dead_a range_v thereof_o find_v by_o the_o chapter_n before-going_a for_o the_o remainder_n will_v be_v the_o pace_n or_o other_o measure_n lie_v direct_o under_o the_o crooked_a range_n example_n 1._o the_o piece_n suppose_v to_o be_v mount_v to_o 30_o degree_n be_v find_v to_o convey_v the_o shot_n 2300_o pace_n to_o the_o dead_a range_n or_o first_o graze_v of_o the_o shot_n and_o it_o also_o convay_v the_o shot_n 617_o pace_n in_o the_o level_a under_o the_o right_n range_v which_o deduct_v out_o of_o the_o say_v dead_a range_v there_o remain_v 1683_o pace_n 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join_v and_o be_v contingent_a to_o they_o both_o in_o the_o point_n b_o and_o c_o wherein_z c_o will_v be_v the_o further_a part_n of_o the_o crooked_a course_n or_o range_v from_o the_o piece_n so_o direct_v and_o do_v the_o end_n of_o the_o natural_a motion_n thereof_o and_o in_o his_o seven_o proposition_n of_o the_o same_o book_n he_o proove_v that_o every_o shot_n equal_o heavy_a great_a or_o little_a equal_o elevate_v above_o horizon_n or_o equal_o oblique_a or_o level_o direct_v be_v among_o themselves_o like_a and_o proportional_a in_o their_o distance_n as_o the_o figure_n follow_v show_v as_o a_o e_o f_o be_v like_a and_o proportional_a in_o the_o right_n and_o crooked_a range_v unto_o a_o h_n i_o and_o in_o their_o distance_n or_o dead_a range_v a_o f_o unto_o a_o i._n and_o in_o his_o four_o five_o and_o six_o proposition_n of_o the_o same_o book_n he_o prove_v that_o every_o shoot_v make_v upon_o the_o level_a have_v the_o crooked_a range_n thereof_o equal_a to_o the_o arch_n of_o a_o quadrant_n or_o quarter_n of_o a_o circle_n and_o if_o it_o be_v make_v upon_o any_o elevation_n above_o the_o level_a that_o then_o it_o will_v make_v the_o crooked_a range_v to_o be_v more_o than_o a_o quadrant_n and_o that_o if_o it_o be_v make_v embase_v under_o the_o level_a that_o then_o the_o crooked_a range_v thereof_o will_v be_v a_o arch_n less_o than_o a_o quadrant_n as_o the_o three_o last_o figure_n follow_v do_v represent_v and_o last_o in_o his_o nine_o proposition_n of_o the_o same_o book_n he_o undertake_v to_o prove_v if_o one_o piece_n be_v shoot_v off_o twice_o the_o one_o level_a and_o the_o other_o at_o the_o best_a of_o the_o random_n that_o the_o right_n range_v of_o the_o level_a be_v but_o one_o quarter_n of_o the_o right_n range_v of_o the_o best_a and_o that_o the_o dead_a range_v of_o the_o level_n be_v but_o 1_o 10_o of_o the_o dead_a range_v of_o the_o best_a random_n whereto_o he_o that_o desire_v further_a demonstration_n may_v have_v recourse_n and_o examine_v his_o demonstration_n of_o those_o proposition_n in_o his_o say_v second_o book_n of_o his_o nova_fw-la scientia_fw-la a_o diagram_n for_o the_o randons_n of_o a_o saker_n upon_o each_o of_o the_o first_o six_o point_n according_a to_o alessandro_n bianco_n now_o to_o find_v at_o what_o distance_n from_o the_o platform_n whereon_o the_o piece_n be_v to_o be_v discharge_v the_o course_n of_o the_o bullet_n will_v cut_v the_o aspect_n of_o every_o mounture_n which_o will_v help_v when_o a_o mark_n shall_v be_v without_o the_o right_n range_v of_o the_o piece_n in_o the_o aspect_n of_o its_o elevation_n above_o the_o horizon_n to_o make_v a_o fair_a shot_n at_o first_o by_o take_v a_o great_a advantage_n of_o mounture_n as_o suppose_v a_o mark_n
piece_n reach_v or_o right_o range_v of_o the_o shot_n and_o of_o the_o dead_a range_v for_o any_o piece_n at_o every_o degree_n as_o in_o the_o last_o chapter_n we_o have_v say_v for_o the_o right_n range_v so_o must_v we_o also_o say_v for_o the_o dead_a range_v which_o consist_v of_o the_o addition_n of_o the_o right_n and_o crooked_a range_v together_o into_o one_o and_o then_o call_v the_o dead_a range_v which_o be_v the_o whole_a distance_n from_o the_o platform_n upon_o which_o the_o piece_n assign_v be_v discharge_v unto_o the_o first_o fall_n or_o graze_v of_o the_o bullet_n upon_o the_o level_a line_n or_o horizontall_a plane_n by_o reason_n the_o different_a lengthe_n of_o the_o piece_n and_o strength_n of_o the_o powder_n increase_v or_o devince_v the_o course_n or_o fury_n of_o the_o shot_n and_o therefore_o more_o difficult_a to_o be_v find_v but_o only_o by_o experience_n or_o by_o diagram_n table_n or_o scale_n make_v from_o experiment_n now_o although_o it_o be_v 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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
in_o the_o falcon_n and_o small_a piece_n the_o abatement_n of_o ¼_n of_o a_o inch_n be_v too_o much_o and_o for_o the_o canon_n ¼_n of_o a_o inch_n be_v too_o little_a and_o that_o 1_o 20_o of_o the_o diametre_fw-la of_o the_o boar_n will_v be_v a_o reasonable_a abatement_n for_o all_o piece_n be_v they_o high_o or_o low_a which_o be_v by_o arithmetic_n so_o easy_o find_v will_v not_o require_v any_o example_n chap._n xxxiii_o of_o the_o gunner_n quadrant_n and_o triangle_n with_o their_o degree_n and_o point_n whereby_o either_o to_o level_n or_o else_o to_o mount_n or_o embase_v any_o piece_n of_o ordnance_n to_o any_o degree_n or_o point_n assign_v the_o gunner_n quadrant_n be_v a_o geometrical_a instrument_n make_v of_o brass_n or_o fine_a grain_a wood_n contain_v in_o the_o circumference_n one_o quarter_n of_o a_o circle_n divide_v into_o 90_o equal_a part_n or_o degree_n in_o the_o outmost_a limb_n and_o in_o the_o second_o limb_n within_o into_o the_o 12_o point_n of_o the_o 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plumb_n line_n upright_o afore_o the_o mouth_n of_o the_o piece_n and_o mount_v or_o embase_v she_o by_o mean_n of_o her_o quoyne_n until_o the_o line_n shall_v appear_v only_o to_o touch_v the_o flat_a of_o the_o mettle_n at_o the_o mouth_n above_o and_o below_o alike_o so_o will_v the_o axis_n of_o the_o soul_n that_o be_v to_o cut_v the_o flat_a of_o her_o mouth_n at_o right_a angle_n the_o plumb_n line_n be_v parallel_n or_o equi-touching_a the_o same_o flat_a be_v find_v to_o be_v parallel_n to_o the_o plane_n of_o the_o horizon_n or_o true_o level_a as_o be_v require_v but_o if_o by_o the_o say_a quadrant_n you_o will_v mount_v the_o piece_n to_o any_o degree_n or_o point_n of_o the_o quadrant_n than_o you_o be_v to_o mount_v or_o embase_v she_o in_o her_o carriage_n by_o draw_v or_o put_v in_o of_o her_o quoyne_n more_o than_o before_o so_o much_o until_o the_o plumb_n line_n of_o the_o quadrant_n appear_v free_o the_o ruler_n be_v put_v into_o her_o mouth_n as_o before_o to_o hang_v direct_o over_o the_o degree_n or_o point_n assign_v and_o the_o like_a may_v be_v say_v concern_v the_o embase_v of_o any_o piece_n as_o in_o the_o 21_o figure_n α_n at_o 2_o for_o the_o 12_o point_n and_o at_o 3_o for_o the_o 90_o degree_n a_o b_o c_o and_o e_o m_o n_o and_o also_o concern_v the_o level_a at_o 4_o to_o level_a piece_n and_o to_o find_v the_o upper_a part_n of_o the_o mettle_n and_o last_o to_o mount_v and_o embase_v the_o piece_n by_o the_o help_n of_o the_o plumb_n line_n and_o by_o the_o whole_a circle_n at_o 5_o divide_v into_o 48_o equal_a part_n make_v in_o each_o quadrant_n thereof_o the_o 12_o point_n of_o the_o gunner_n quadrant_a the_o like_a may_v be_v do_v with_o the_o sight_n rule_n by_o the_o table_n hereof_o chap._n xxxiiii_o of_o a_o new_a devise_n by_o any_o staff_n to_o level_v mount_v and_o embase_v any_o piece_n also_o any_o piece_n may_v with_o a_o field_n linstock_n rammer_n or_o sponge_n or_o other_o staff_n be_v mount_v to_o any_o degree_n of_o the_o quadrant_n be_v thus_o prepare_v first_o mark_v from_o one_o end_n of_o that_o staff_n a_o distance_n equal_a unto_o the_o height_n of_o the_o pomell_n or_o caskabell_n of_o the_o piece_n tract_n 2._o dial._n 9_o quelle_fw-fr piece_n sera_fw-fr de_fw-fr plus_fw-fr lointaine_v portee_fw-mi celle_fw-fr du_fw-fr halt_a ou_fw-fr celle_fw-fr du_fw-fr pied_fw-fr d'vne_n tour_fw-fr welch_v stick_v be_o weittesten_v trägt_fw-mi das_fw-ge so_fw-ge oben_fw-ge oder_fw-ge das_fw-ge so_fw-ge unden_fw-ge be_fw-mi thurn_v abychet_fw-mi tract_n 3._o cap_n 12_o et_fw-la 15_o mire_n common_a rez_fw-fr les_fw-fr metaux_fw-fr de_fw-fr 1000_o pas_fw-fr gemeine_fw-fr visier_fw-fr uber_fw-la die_v frisen_a auff_fw-ge 1000_o schritt_n point_v du_fw-fr niveau_fw-fr de_fw-fr l'ame_fw-fr de_fw-fr 500_o pas_fw-fr visier_n der_fw-mi wogen_fw-mi auff_fw-ge 500_o schritt_n place_v level_a upon_o her_o platform_n and_o then_o take_v the_o distance_n between_o the_o centre_n of_o the_o trunion_n and_o the_o pomell_n or_o caskabell_n which_o make_v or_o imagine_v a_o semidiametre_n of_o a_o circle_n and_o divide_v it_o by_o dyagonalls_n and_o parallel_n or_o otherwise_o into_o 1000_o equal_a part_n last_o out_o of_o the_o table_n of_o sines_n take_v the_o number_n answer_v unto_o every_o degree_n out_o of_o the_o say_v 1000_o part_n and_o set_v that_o distance_n from_o the_o say_v mark_v downward_o and_o if_o the_o total_a sign_n of_o the_o table_n be_v 100000_o omit_v the_o two_o last_o figure_n of_o each_o number_n thereof_o towards_o the_o right_a hand_n and_o if_o it_o be_v 10000000_o then_o omit_v four_o figure_n of_o each_o number_n you_o find_v in_o that_o table_n and_o the_o remain_a number_n will_v show_v how_o many_o of_o those_o 1000_o equal_a part_n be_v to_o be_v set_v downward_o from_o the_o mark_n beneath_o the_o say_v level_a for_o each_o several_a degree_n then_o draw_v also_o 10_o parallel_n and_o dyagonalls_n from_o the_o first_o degree_n to_o the_o second_o 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