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Word A Word B Word C Word D Occurrence Frequency Band MI MI Band Prominent
water_n add_v let_v ounce_n 4,692 5 8.9522 4 false
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ID Title Author Corrected Date of Publication (TCP Date of Publication) STC Words Pages
A64318 The compleat gunner in three parts : part I. shewing the art of founding and casting ... the composition and matters of gunpowders ... : part II. discovers the necessary instruments ... to the compleating of a gunner ... : pt. III. shews the nature of fire-works / translated out of Casimir, Diego, Uffano, Hexan, and other authors; to which is added The doctrine of projects applyed to gunnery by those late famous authors Galilæus and Torricellio now rendred into English ; together with some excellent observations out of Mersennus and other famous authors. 1672 (1672) Wing T65; ESTC R29235 142,431 179

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how_o to_o prepare_v match_n or_o low_a for_o artificial_a fire_n make_v cord_n of_o tow_n hemp_n or_o cotton_n which_o you_o please_v of_o two_o or_o three_o twist_n not_o make_v too_o hard_o put_v they_o in_o a_o new_a earthen_a pot_n vernish_v pour_v upon_o they_o vinegar_n make_v of_o good_a white_a wine_n four_o part_n of_o urine_n two_o part_n of_o aqua_fw-la aquavitae_fw-la one_o part_n of_o salt_n peter_n purify_v one_o part_n of_o cannon_n powder_n reduce_v to_o meal_n one_o part_n make_v all_o these_o ingredient_n boil_v together_o upon_o a_o great_a fire_n to_o the_o consumption_n of_o all_o the_o liquor_n then_o spread_v upon_o a_o great_a smooth_a plank_n or_o board_n the_o meal_n or_o flower_n of_o the_o most_o excellent_a powder_n that_o you_o can_v get_v have_v draw_v your_o match_n out_o of_o the_o pot_n roll_n they_o in_o the_o powder_n and_o then_o dry_v they_o in_o the_o shade_n or_o sun_n for_o it_o matter_n not_o which_o and_o the_o cord_n or_o match_n that_o be_v 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weight_n of_o that_o which_o be_v new_o make_v and_o then_o with_o their_o hand_n or_o wooden_a shovel_n they_o mingle_v it_o well_o together_o then_o they_o dry_v it_o in_o the_o sun_n and_o put_v it_o up_o into_o a_o barrel_n again_o and_o keep_v it_o in_o a_o dry_a and_o proper_a place_n yet_o there_o be_v another_o way_n may_v be_v allow_v but_o this_o be_v almost_o the_o same_o with_o make_v new_a powder_n and_o it_o be_v thus_o take_v what_o quantity_n of_o decay_a powder_n you_o please_v put_v it_o into_o earthen_a or_o wooden_a vessel_n pour_v upon_o the_o same_o three_o time_n so_o much_o hot_a water_n stir_v it_o well_o about_o and_o when_o it_o begin_v to_o be_v cold_a or_o have_v stand_v one_o hour_n or_o two_o strain_v the_o water_n away_o and_o to_o the_o fece_n put_v more_o water_n stir_v it_o well_o about_o then_o let_v it_o stand_v and_o settle_v as_o before_o and_o strain_v it_o from_o the_o fece_n this_o do_v a_o three_o time_n and_o you_o will_v have_v draw_v out_o all_o the_o salt-peter_n put_v these_o water_n in_o a_o clean_a kettle_n and_o boil_v it_o away_o until_o so_o much_o be_v consume_v as_o that_o a_o drop_v drop_v upon_o a_o stone_n or_o iron_n do_v congeal_v then_o pour_v it_o into_o some_o wooden_a vessel_n that_o it_o may_v congeal_v into_o salt-peter_n and_o that_o water_n as_o remain_v you_o must_v boil_v up_o again_o as_o before_o and_o if_o need_v be_v you_o must_v in_o the_o boil_a scum_n what_o rise_v on_o the_o top_n of_o the_o water_n have_v by_o this_o art_n obtain_v the_o salt-peter_n out_o of_o the_o decay_a gunpowder_n you_o may_v according_a to_o the_o proportion_n give_v in_o the_o composition_n of_o powder_n mix_v it_o with_o its_o remain_a sulphur_n and_o coal_n or_o fresh_a sulphur_n and_o coal_n which_o be_v better_o and_o after_o it_o be_v well_o mix_v corn_n it_o according_a to_o the_o give_v rule_n then_o let_v it_o be_v well_o dry_v and_o put_v up_o into_o dry_a powder_n barrel_n and_o let_v it_o be_v conserve_v in_o a_o dry_a place_n from_o air_n or_o any_o moisture_n some_o do_v mend_v their_o powder_n in_o this_o nature_n they_o moisten_v it_o with_o vinegar_n or_o fair_a water_n beat_v it_o fine_a and_o sift_v it_o and_o dry_v it_o and_o to_o every_o pound_n of_o powder_n they_o put_v one_o ounce_n of_o meal_v salt-peter_n then_o moisten_v and_o mix_v they_o well_o so_o that_o neither_o may_v be_v discern_v one_o from_o the_o other_o but_o that_o they_o be_v perfect_o incorporate_v which_o you_o may_v know_v by_o cut_v the_o mass_n with_o a_o knife_n or_o break_v it_o when_o it_o be_v well_o compound_v let_v it_o be_v corn_v in_o manner_n as_o we_o have_v before_o prescribe_v if_o your_o composition_n of_o powder_n be_v make_v up_o with_o aqua_fw-la aquavitae_fw-la and_o so_o make_v up_o into_o great_a ball_n and_o well_o dry_v in_o a_o stove_n or_o in_o the_o sun_n and_o put_v into_o glaze_v earthen_a pot_n and_o close_o cover_v you_o may_v keep_v it_o as_o long_o as_o you_o please_v for_o age_n will_v not_o decay_v it_o there_o ought_v always_o a_o care_n to_o be_v take_v by_o gunner_n or_o fire-master_n or_o such_o as_o have_v the_o charge_n of_o gunpowder_n to_o choose_v if_o they_o can_v such_o place_n as_o be_v dry_a and_o stand_v upon_o the_o best_a ground_n free_a from_o dampness_n of_o the_o air_n or_o any_o water_n possible_o come_v near_o every_o gunner_n etc._n etc._n aught_o to_o take_v care_n that_o his_o barrel_n be_v turn_v upside_o down_o or_o any_o carthredge_n ready_a fill_v for_o if_o the_o powder_n attract_v air_n the_o peter_z with_o the_o moisture_n it_o have_v attract_v will_v in_o time_n separate_v from_o the_o other_o matter_n and_o sink_v to_o the_o bottom_n so_o that_o the_o powder_n in_o the_o upper_a part_n will_v loose_v its_o strength_n which_o be_v prevent_v by_o turn_v and_o shake_v they_o every_o fourteen_o day_n and_o air_v they_o at_o the_o sun_n at_o convenient_a time_n and_o as_o it_o be_v necessary_a a_o gunner_n shall_v have_v carthredge_n fill_v for_o present_a service_n those_o aught_o also_o to_o be_v turn_v out_o and_o fill_v again_o every_o fourteen_o day_n more_o or_o less_o as_o the_o gunner_n in_o his_o judgement_n shall_v allow_v of_o chap._n xxii_o of_o the_o property_n and_o particular_a office_n of_o every_o material_a in_o the_o composition_n of_o gunpowder_n we_o ought_v infallible_o to_o believe_v that_o gunpowder_n be_v not_o find_v out_o casual_o or_o by_o fortune_n but_o invent_v by_o a_o true_a knowledge_n and_o by_o reasonable_a speculation_n in_o natural_a philosophy_n consider_v that_o to_o this_o day_n no_o man_n have_v oppose_v notwithstanding_o many_o person_n have_v make_v it_o their_o endeavour_n or_o can_v find_v any_o other_o material_n like_v unto_o these_o or_o of_o such_o a_o nature_n which_o be_v well_o unite_v and_o incorporate_v together_o they_o be_v able_a to_o produce_v a_o fire_n so_o vigorous_a fearful_a powerful_a and_o above_o all_o so_o inextinguishable_a that_o the_o whole_a universal_a matter_n be_v consume_v in_o a_o moment_n which_o be_v the_o more_o to_o be_v believe_v since_o we_o make_v not_o much_o difficulty_n particular_o in_o this_o our_o age_n wherein_o we_o live_v to_o add_v many_o thing_n to_o the_o invention_n of_o other_o and_o that_o as_o the_o physician_n say_v all_o that_o have_v a_o beginning_n do_v pass_v from_o imperfection_n to_o perfection_n we_o desire_v therefore_o it_o may_v be_v permit_v since_o the_o inventor_n have_v leave_v we_o nothing_o in_o write_v to_o propose_v here_o some_o observation_n of_o speculative_a truth_n draw_v from_o experiment_n which_o have_v be_v make_v about_o the_o strength_n nature_n effect_n and_o office_n of_o all_o the_o matter_n comprehend_v in_o the_o composition_n of_o gunpowder_n as_o well_o of_o the_o particular_n as_o all_o make_v up_o into_o one_o body_n for_o i_o believe_v that_o have_v insinuate_v into_o a_o perfect_a knowledge_n of_o the_o property_n and_o the_o affection_n as_o well_o specificate_v as_o general_n of_o all_o its_o ingredient_n no_o body_n more_o will_v fall_v into_o those_o error_n which_o be_v too_o often_o commit_v in_o the_o art_n of_o pyrotechny_n we_o must_v therefore_o know_v that_o gunpowder_n be_v not_o without_o reason_n compose_v of_o these_o three_o material_n to_o wit_n salt-pete_a sulphur_n and_o coal_n but_o to_o the_o end_n that_o one_o may_v remedy_v or_o supply_v the_o default_n of_o the_o other_o and_o this_o be_v it_o which_o be_v easy_a to_o be_v comprehend_v in_o the_o effect_n of_o sulphur_n for_o this_o be_v natural_o the_o very_a aliment_n of_o the_o fire_n see_v it_o join_v with_o it_o so_o willing_o and_o free_o and_o have_v once_o take_v fire_n be_v most_o difficult_a to_o put_v out_o be_v no_o otherwise_o right_o than_o a_o flame_a fire_n or_o to_o express_v it_o better_o a_o pure_a flame_n and_o therefore_o have_v a_o aptitude_n to_o inflame_v the_o salt-peter_n by_o its_o activity_n more_o than_o any_o other_o kind_n of_o fire_n but_o as_o the_o salt-peter_n light_v do_v go_v prompt_o into_o certain_a windy_a exhalation_n it_o have_v thereby_o such_o a_o strength_n in_o it_o that_o it_o will_v by_o its_o ventosity_n put_v out_o the_o flame_n which_o the_o sulphur_n have_v conceive_v and_o by_o consequence_n deny_v itself_o of_o that_o which_o the_o sulphur_n communicate_v to_o it_o hereby_o you_o may_v see_v if_o one_o have_v make_v a_o simple_a composition_n of_o these_o two_o thing_n only_o that_o be_v of_o sulphur_n and_o salt-peter_n compound_v well_o together_o if_o fire_n be_v then_o apply_v they_o will_v in_o truth_n be_v sudden_o inflame_v but_o they_o will_v soon_o after_o go_v out_o that_o be_v the_o fire_n will_v not_o continue_v to_o the_o conflagration_n and_o consumption_n of_o the_o whole_a matter_n the_o reason_n whereof_o we_o have_v give_v a_o little_a before_o it_o be_v therefore_o by_o good_a reason_n adjudge_v that_o coal_n well_o dry_v and_o powder_v be_v adjoin_v to_o these_o two_o material_n in_o a_o certain_a proportion_n be_v a_o excellent_a remedy_n for_o the_o supply_n of_o this_o defect_n see_v that_o coal_n be_v of_o such_o a_o property_n and_o of_o such_o a_o nature_n that_o if_o it_o be_v hold_v to_o the_o fire_n it_o will_v soon_o light_a and_o be_v reduce_v to_o a_o fire_n without_o any_o flame_n and_o from_o hence_o it_o come_v to_o pass_v that_o the_o more_o it_o be_v agitate_a by_o the_o air_n or_o by_o wind_n the_o more_o the_o fire_n augment_v and_o will_v not_o go_v out_o but_o conserve_v itself_o until_o the_o matter_n that_o nourish_v it_o be_v total_o consume_v a_o little_a ash_n only_o except_v from_o hence_o it_o be_v conclude_v that_o a_o composition_n make_v of_o these_o three_o ingredient_n such_o as_o be_v our_o
half_a a_o pound_n of_o salarmoniac_a 4_o ounce_n above_o all_o this_o the_o chemist_n know_v how_o to_o prepare_v a_o certain_a oil_n of_o sulphur_n which_o they_o call_v a_o balsam_n of_o which_o the_o virtue_n be_v so_o admirable_a that_o they_o admit_v not_o any_o body_n either_o live_n or_o dead_a to_o be_v touch_v with_o putrification_n but_o will_v conserve_v it_o in_o so_o perfect_a and_o entire_a state_n that_o neither_o the_o pernicious_a influence_n of_o the_o celestial_a body_n nor_o that_o corruption_n which_o the_o element_n produce_v nor_o that_o which_o reduce_v thing_n into_o their_o principle_n can_v any_o way_n damnify_v it_o if_o anoint_a with_o it_o there_o be_v also_o from_o it_o prepare_v a_o certain_a fire_n as_o tritemius_fw-la teach_v with_o flower_n of_o sulphur_n borax_n and_o brandywine_n which_o will_v remain_v many_o year_n without_o extinguish_n of_o itself_o other_o that_o be_v know_v do_v attest_v that_o a_o lamp_n may_v be_v fill_v with_o such_o like_a oil_n from_o whence_o all_o that_o be_v within_o the_o light_n of_o it_o will_v appear_v as_o if_o they_o have_v no_o head_n there_o be_v another_o way_n of_o make_v oil_n of_o sulphur_n which_o be_v very_o admirable_a and_o excellent_a which_o be_v prepare_v thus_o incorporate_v well_o together_o a_o equal_a proportion_n of_o sulphur_n and_o salt-peter_n reduce_v they_o into_o most_o subtle_a powder_n and_o pass_v it_o through_o a_o fine_a sieve_n than_o put_v they_o into_o a_o earthen_a pot_n that_o have_v never_o be_v use_v and_o pour_v upon_o they_o vinegar_n make_v of_o white-wine_n or_o aquavitae_n as_o much_o as_o will_v cover_v the_o powder_n close_o the_o pot_n in_o such_o manner_n that_o no_o air_n may_v any_o wise_a enter_v and_o put_v it_o thus_o in_o any_o hot_a place_n so_o long_a time_n until_o all_o the_o vinegar_n be_v digest_v and_o vanish_v last_o take_v that_o matter_n which_o rest_v in_o the_o pot_n and_o draw_v from_o thence_o a_o oil_n by_o chemical_a instrument_n proper_a to_o this_o work_n chap._n ii_o the_o preparation_n of_o the_o flower_n of_o benjamin_n take_v benjamin_n a_o certain_a quantity_n of_o ounce_n put_v it_o into_o a_o gourd_n or_o a_o limbeck_n glass_n and_o close_o it_o well_o with_o a_o blind_a head_n as_o they_o call_v it_o then_o have_v in_o readiness_n a_o earthen_a vessel_n set_v it_o upon_o a_o tresfoot_o or_o for_o the_o more_o certainty_n upon_o a_o small_a furnace_n place_v it_o in_o your_o glass_n body_n and_o compass_v it_o well_o about_o with_o fine_a sand_n or_o ash_n so_o high_a as_o the_o matter_n be_v in_o the_o glass_n after_o make_v a_o moderate_a fire_n under_o it_o for_o fear_v the_o limbeck_n heat_n too_o soon_o and_o be_v too_o hot_a for_o that_o will_v make_v the_o flower_n become_v citrine_n or_o yellow_a when_o they_o ought_v to_o be_v as_o white_a as_o snow_n observe_v when_o you_o see_v the_o flower_n begin_v to_o raise_v a_o vapour_n or_o small_a fume_n continue_v your_o fire_n in_o that_o same_o degree_n the_o space_n of_o one_o quarter_n of_o a_o hour_n after_o you_o shall_v see_v the_o flower_n rise_v unto_o the_o internal_a superficies_n of_o the_o blind_a head_n then_o take_v it_o away_o careful_o and_o put_v to_o it_o another_o that_o shall_v be_v quite_o cold_a and_o put_v that_o which_o you_o have_v take_v off_o upon_o a_o white_a paper_n until_o it_o be_v cold_a then_o gentle_o with_o a_o feather_n or_o wooden_a spatula_fw-la cause_n the_o flower_n to_o come_v forth_o of_o the_o blind_a head_n and_o gather_v they_o together_o careful_o thus_o you_o may_v add_v a_o three_o or_o four_o blind_a head_n and_o in_o time_n many_o until_o all_o the_o benjamin_n cease_v to_o fume_v benjamin_n may_v be_v make_v into_o flower_n another_o way_n thus_o put_v into_o a_o glaze_v pot_n a_o certain_a quantity_n of_o ounce_n of_o benjamin_n and_o place_n it_o upon_o warm_a ash_n and_o when_o you_o see_v it_o begin_v to_o fume_v cover_v the_o vessel_n with_o a_o cornet_n of_o paper_n make_v in_o the_o form_n of_o a_o cone_n and_o a_o little_o large_a than_o the_o orifice_n of_o the_o pot_n leave_v it_o there_o about_o one_o quarter_n of_o a_o hour_n after_o take_v off_o the_o cornet_n and_o take_v the_o flower_n and_o gather_v they_o together_o then_o put_v upon_o the_o vessel_n another_o cornet_n of_o paper_n and_o let_v it_o stand_v as_o long_o as_o before_o take_v it_o off_o and_o gather_v the_o flower_n to_o the_o former_a and_o continue_v thus_o put_v cornet_n after_o cornet_n until_o your_o flower_n be_v entire_o evaporate_v chap._n iii_o the_o preparation_n of_o camphire_n take_v juniper_n gumm_n which_o be_v call_v sometime_o sandarach_n white_a varnish_n or_o mastic_n most_o subtle_o powder_v 2_o l._n white_a distil_a vinegar_n as_o much_o as_o be_v necessary_a to_o cover_v the_o gumm_n in_o a_o glass_n set_v it_o deep_a in_o horse-dung_n the_o space_n of_o 20_o day_n then_o take_v it_o and_o pour_v it_o forth_o into_o another_o glass_n vessel_n with_o a_o wide_a mouth_n and_o let_v it_o stand_v thus_o in_o digestion_n a_o whole_a month_n and_o in_o it_o you_o shall_v have_v camphire_n congeal_v in_o form_n of_o a_o crust_n of_o bread_n and_o which_o have_v in_o some_o measure_n the_o resemblance_n of_o the_o versable_a or_o true_a camphire_n the_o camphire_n have_v such_o a_o love_n for_o the_o fire_n that_o be_v once_o light_v it_o go_v not_o out_o until_o it_o be_v quite_o consume_v the_o flame_n that_o come_v from_o thence_o be_v very_o clear_a and_o of_o a_o very_a agreeable_a odour_n after_o it_o have_v remain_v suspend_v in_o the_o air_n some_o time_n it_o vanish_v insensible_o the_o cause_n that_o produce_v all_o these_o rare_a effect_n from_o camphire_n be_v by_o reason_n its_o part_n be_v extreme_a subtle_a and_o airy_a i_o do_v add_v to_o all_o this_o that_o it_o may_v be_v easy_a to_o reduce_v camphire_n into_o powder_n to_o make_v it_o useful_a in_o artificial_a firework_n if_o a_o man_n crumble_v it_o 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facilitated_a apply_v the_o whole_a to_o the_o art_n of_o gunnery_n that_o the_o benefit_n of_o his_o pain_n may_v redound_v to_o the_o english_a reader_n that_o be_v especial_o delight_v or_o exercise_v in_o the_o affair_n of_o mars_n it_o be_v think_v fit_a to_o render_v the_o same_o into_o english_a the_o doctrine_n of_o project_n apply_v to_o gunnery_n proposition_n the_o impetus_fw-la b_o a_o that_o be_v as_o much_o as_o be_v that_o of_o the_o movable_a natural_o fall_v from_o b_o to_o a_o by_o the_o a._n the_o which_o definition_n be_v when_o we_o name_v a_o impetus_fw-la give_v we_o determine_v it_o in_o space_n according_a as_o galilaus_n use_v exemp_n grat._n when_o we_o say_v let_v the_o impetus_fw-la give_fw-mi be_v a_o b_o than_o we_o mean_v let_v the_o impetus_fw-la give_fw-mi be_v so_o much_o as_o be_v requisite_a to_o throw_v the_o project_n from_o a_o to_o the_o high_a point_n of_o the_o perpendicular_a b_o or_o which_o be_v the_o same_o as_o much_o as_o be_v the_o impetus_fw-la of_o a_o movable_a natural_o fall_v from_o b_o to_z a._n definition_n as_o also_o the_o direction_n a_o i_o according_a to_o which_o the_o projection_n be_v to_o be_v make_v with_o the_o say_v impetus_fw-la be_v give_v it_o be_v require_v to_o find_v the_o amplitude_n altitude_n and_o the_o whole_a future_a parabola_fw-la of_o this_o projection_n again_o i_o say_v that_o this_o parabola_fw-la be_v describe_v by_o the_o impetus_fw-la give_v for_o ae_n of_o and_o ebb_v or_o those_o three_o line_n equal_a to_o dg_v the_o altitude_n gf_n the_o semi-base_a and_o gl_n be_v in_o continual_a proportion_n wherefore_o gl_n be_v the_o sublimity_n by_o the_o v._o proposition_n projectorum_fw-la de_fw-fr metu_fw-la projectorum_fw-la of_o galiaeus_n and_o its_o corollary_n then_o thus_o the_o impetus_fw-la of_o the_o parabola_fw-la agnostus_n in_o the_o point_n a_o be_v as_o much_o as_o that_o of_o the_o cadent_a natural_o fall_v from_o l_o to_o d_o by_o x._o of_o galiaeus_n that_o be_v from_z b_o to_o a_o or_o of_o the_o project_n ascend_v from_o a_o to_o b_o therefore_o the_o parabola_fw-la have_v in_o the_o point_n a_o the_o impetus_fw-la that_o be_v give_v wherefore_o that_o be_v do_v which_o be_v require_v but_o because_o this_o proposition_n be_v of_o great_a moment_n for_o clear_v of_o those_o that_o follow_v we_o will_v prove_v it_o another_o way_n first_o it_o be_v manifest_a that_o the_o point_n p_o can_v be_v in_o the_o line_n ld_n because_o since_o the_o line_n ac_fw-la touch_v each_o parabola_fw-la that_o id_fw-la the_o common_a axis_n shall_v be_v cut_v into_o two_o equal_a part_n in_o two_o point_n by_o the_o vertex_n of_o the_o parabola_fw-la be_v absurd_a nor_o can_v it_o be_v in_o the_o line_n eglantine_n for_o draw_v the_o diameter_n suppose_v mn_a through_o the_o ●●rtex_n that_o mn_n shall_v be_v cut_v into_o two_o equal_a part_n by_o the_o line_n eglantine_n be_v absurd_a for_o only_a id_fw-la of_o all_o the_o line_n parallel_v unto_o it_o in_o the_o angle_n god_n can_v be_v cut_v into_o two_o equal_a part_n now_o let_v the_o point_n p_o fall_v any_o where_n at_o pleasure_n and_o draw_v the_o horizontal_n line_n pr._n for_o as_o much_o as_o pn_n and_o pm_n be_v equal_a by_o the_o two_o of_o *_o this_o nr_n and_o ramires_n pr._n and_o r_n part_n which_o second_o proposition_n be_v that_o the_o sublime_a point_n of_o the_o range_v of_o any_o project_n p_o do_v cut_v the_o perpendicular_a m_o intercept_v betwixt_o the_o horizon_n and_o line_n of_o direction_n into_o two_o equal_a part_n shall_v be_v equal_a and_o because_o the_o parabola_fw-la ap_n have_v the_o impetus_fw-la basilius_n that_o be_v om_o the_o point_n o_o shall_v be_v its_o sublimity_n and_o for_o that_o reason_n the_o line_n open_v pr._n and_o pm_n shall_v be_v in_o continual_a proportion_n and_o the_o rectangle_n opm_n equal_a unto_o the_o square_a pr._n and_o change_v the_o line_n
34_o 2260_o 35_o 2221_o 36_o 2183_o 37_o 2146_o 38_o 2111_o 39_o 2077_o 40_o 2044_o 41_o 2012_o 42_o 1981_o 43_o 1952_o 44_o 2007_o 45_o 2041_o 46_o 2076_o 47_o 2113_o 48_o 2150_o 49_o 2189_o 50_o 2230_o 51_o 2272_o 52_o 2317_o 53_o 2363_o 54_o 2412_o 55_o 2463_o 56_o 2516_o 57_o 2572_o 58_o 2633_o 59_o 2695_o 60_o 2762_o 61_o 2832_o 62_o 2908_o 63_o 2989_o 64_o 3075_o 65_o 3168_o 66_o 3268_o 67_o 3376_o 68_o 3493_o 69_o 3621_o 70_o 3762_o 71_o 3916_o 72_o 4086_o 73_o 4276_o 74_o 4489_o 75_o 4732_o 76_o 5006_o 77_o 5303_o 78_o 5690_o 79_o 6263_o 80_o 6641_o 81_o 7274_o 82_o 8059_o 83_o 9061_o 84_o 10430_o 85_o 12330_o 86_o 15140_o 87_o 19850_o 88_o 29250_o 89_o 37480_o 90_o 00000_o finis_fw-la the_o second_o table_n deg_fw-la  _fw-fr 1_o 1.142_o 2_o 1.280_o 3_o 1.413_o 4_o 1.543_o 5_o 1.669_o 6_o 1.792_o 7_o 1.911_o 8_o 2.028_o 9_o 2.142_o 10_o 2.253_o 11_o 2.361_o 12_o 2.467_o 13_o 2.572_o 14_o 2.674_o 15_o 2.774_o 16_o 2.872_o 17_o 2.968_o 18_o 3.063_o 19_o 3.156_o 20_o 3.248_o 21_o 3.339_o 22_o 3.428_o 23_o 3.516_o 24_o 3.603_o 25_o 3.689_o 26_o 3.774_o 27_o 3.858_o 28_o 3.941_o 29_o 4.024_o 30_o 4.105_o 31_o 4.186_o 32_o 4.267_o 33_o 4.347_o 34_o 4.426_o 35_o 4.505_o 36_o 4.584_o 37_o 4.662_o 38_o 4.740_o 39_o 4.818_o 40_o 4.895_o 41_o 4.972_o 42_o 5.050_o 43_o 5.127_o 44_o 4.985_o 45_o 4.902_o 46_o 4.819_o 47_o 4.736_o 48_o 4.653_o 49_o 4.570_o 50_o 4.487_o 51_o 4.403_o 52_o 4.318_o 53_o 4.234_o 54_o 4.148_o 55_o 3.062_o 56_o 3.976_o 57_o 3.889_o 58_o 3.800_o 59_o 3.712_o 60_o 3.622_o 61_o 3.532_o 62_o 3.440_o 63_o 3.347_o 64_o 3.253_o 65_o 3.158_o 66_o 3.061_o 67_o 2.963_o 68_o 2.864_o 69_o 2.762_o 70_o 2.659_o 71_o 2.554_o 72_o 2.448_o 73_o 2.339_o 74_o 2.228_o 75_o 2.114_o 76_o 1.998_o 77_o 1.880_o 78_o 1.758_o 79_o 1.634_o 80_o 1.506_o 81_o 1.375_o 82_o 1.241_o 83_o 1.102_o 84_o 0.960_o 85_o 0.812_o 86_o 0.661_o 87_o 0.504_o 88_o 0.342_o 89_o 0.174_o 90_o 0.000_o finis_fw-la the_o use_n of_o the_o first_o table_n by_o example_n 1._o suppose_v a_o piece_n curry_v a_o shot_n 763._o pace_n at_o 13._o degree_n of_o mounture_n what_o be_v the_o horizontal_n range_v multiply_v the_o number_n against_o 13._o degree_n which_o be_v 3889._o by_o 763._o and_o from_o the_o product_n cut_v off_o a_o figure_n towards_o the_o right_a hand_n leave_v the_o pace_n of_o the_o horizontal_n range_v desire_v the_o use_n of_o the_o second_o table_n by_o example_n 2._o suppose_v a_o piece_n curry_n a_o shot_n 374_o pace_n at_o the_o horizontal_n range_v how_o many_o pace_n shall_v it_o curry_v at_o 16._o degree_n mounture_o multiply_v the_o number_n against_o 16._o degree_n which_o be_v 2._o 872_o of_o this_o second_o table_n by_o 374._o and_o from_o the_o product_n cut_v off_o 3._o figure_n towards_o the_o right_a hand_n leave_v the_o number_n of_o pace_n desire_v 3._o have_v the_o pace_n of_o any_o degree_n of_o mounture_n to_o find_v how_o far_o that_o shall_v curry_v a_o shot_n at_o a_o great_a degree_n of_o mounture_n example_n suppose_v a_o piece_n curry_n a_o shot_n 543_o pace_n at_o 11._o degree_n mounture_o how_o may_v pace_n shall_v it_o curry_v at_o 19_o degree_n mounture_o first_o multiply_v the_o number_n against_o 11._o in_o the_o first_o table_n which_o be_v 4237_o by_o 543._o and_o multiply_v that_o product_n again_o by_o the_o number_n find_v in_o the_o second_o table_n against_o 19_o degree_n which_o be_v 3._o 156._o and_o from_o the_o last_o product_v cut_v off_o 7._o figure_n towards_o the_o right_a hand_n and_o the_o remainder_n be_v the_o number_n of_o pace_n desire_v 1._o by_o the_o piece_n mounture_v and_o the_o pace_n she_o curry_v a_o shot_n at_o that_o mounture_n to_o know_v how_o many_o she_o curry_v at_o level_n range_v by_o the_o direction_n aforesaid_a 2._o have_v the_o level_n range_v of_o a_o piece_n to_o find_v how_o many_o pace_n that_o shall_v curry_v at_o a_o mounture_n give_v by_o the_o direction_n aforesaid_a 3._o have_v the_o pace_n that_o a_o piece_n curry_v at_o one_o mounture_n to_o find_v how_o many_o pace_n it_o shall_v curry_v at_o a_o great_a mounture_n by_o the_o direction_n aforesaid_a the_o range_v of_o spout_n or_o squirt_n compare_v with_o the_o range_v of_o bullet_n shoot_v out_o of_o gun_n for_o as_o much_o as_o a_o bullet_n spend_v a_o great_a time_n in_o its_o fall_n than_o its_o rise_n like_o dart_n or_o the_o descent_n be_v not_o so_o swift_a that_o it_o shall_v always_o hasten_v in_o that_o degree_n whereby_o in_o three_o or_o four_o second_n we_o have_v find_v its_o swiftness_n to_o be_v increase_v which_o i_o suppose_v to_o be_v confirm_v from_o this_o reason_n because_o a_o bullet_n descend_v can_v have_v so_o great_a a_o power_n to_o smite_v as_o it_o have_v ascend_v so_o that_o approach_v the_o earth_n it_o be_v not_o so_o swift_o move_v as_o when_o it_o come_v from_o the_o mouth_n of_o the_o gun_n for_o when_o the_o swiftness_n of_o any_o thing_n project_v be_v equal_a it_o equal_o strike_v therefore_o i_o account_v spout_n useful_a see_v they_o bring_v we_o to_o the_o knowledge_n of_o shoot_v of_o which_o otherwise_o we_o can_v not_o judge_v by_o reason_n of_o the_o difficulty_n of_o trial_n which_o be_v most_o easy_o discern_v in_o tube_n for_o because_o any_o one_o may_v compare_v in_o a_o little_a time_n what_o ever_o shoot_v he_o please_v with_o another_o to_o wit_n a_o middle_a range_v figure_n former_a figure_n with_o a_o vertical_a or_o perpendicular_a one_o as_o to_o time_n and_o height_n that_o this_o may_v be_v the_o better_o understand_v in_o the_o follow_a figure_n let_v the_o cock_n be_v a_o above_o the_o horizon_n a_o b_o and_o let_v the_o altitude_n of_o the_o tube_n be_v a_o 12_o who_o vertical_a squirt_n be_v a_o φ_n experience_n teach_v we_o that_o the_o length_n of_o the_o middle_a squirt_n a_o b_o be_v double_a to_o the_o vertical_a a_o φ._n but_o to_o what_o height_n the_o middle_a squirt_n range_v whether_o to_o d_o or_o e_o which_o also_o you_o may_v understand_v of_o bullet_n shoot_v from_o gun_n there_o be_v none_o hitherto_o have_v observe_v but_o it_o be_v one_o half_a of_o the_o vertical_a φ_n a_o wherefore_o the_o point_n d_o or_o e_o be_v high_a than_o it_o ought_v to_o be_v and_o whatever_o be_v say_v by_o the_o ingenious_a may_v be_v correct_v by_o spout_n there_o be_v other_o thing_n also_o that_o want_n inquiry_n into_o for_o example_n how_o it_o can_v come_v to_o pass_v that_o a_o bullet_n shoot_v out_o of_o the_o mouth_n of_o a_o gun_n from_o o_o to_o p_o come_v right_o on_o when_o in_o that_o time_n it_o fly_v along_o the_o line_n o_o p_o a_o hundred_o fathom_n ought_v to_o fall_v towards_o the_o centre_n of_o the_o earth_n 12_o foot_n if_o the_o horizontal_a motion_n of_o a_o thing_n violent_o project_v hinder_v not_o its_o natural_a motion_n as_o many_o imagine_v in_o a_o vacuity_n or_o place_n that_o do_v not_o impede_fw-la for_o although_o that_o can_v partly_o be_v explain_v by_o the_o diversity_n of_o the_o line_n which_o be_v sound_a in_o gun_n to_o wit_v the_o line_n r_o x_o y_fw-fr which_o follow_v the_o outside_n of_o the_o gun_n and_o that_o which_o they_o call_v n1_fw-la animae_fw-la s_o z_o which_o pass_v through_o the_o axis_fw-la of_o the_o hollow_a m_o n_n to_o the_o aforesaid_a side_n be_v in_o no_o wise_a parallel_n because_o to_o wit_n the_o bullet_n k_o or_o h_n level_v at_o l_o may_v ascend_v to_o the_o side_n line_n i_o l_o or_o the_o point_n s_o passing_z to_o z_o may_v ascend_v to_o the_o point_n x_o of_o the_o side_n line_n r_o y_fw-fr yet_o another_o thing_n be_v to_o be_v add_v when_o what_o be_v aforesaid_a be_v not_o true_a when_o the_o eye_n of_o the_o shooter_n take_v not_o aim_n by_o the_o line_n i_o l_o or_o r_o x_o but_o by_o the_o line_n m_o n_n or_o s_n x_o for_o then_o the_o bullet_n k_o do_v not_o descend_v so_o much_o as_o it_o will_v if_o it_o be_v leave_v to_o itself_o in_o the_o air_n add_v that_o the_o water_n out_o of_o the_o cock_n fit_v to_o the_o horizontal_n squirt_n do_v not_o descend_v so_o much_o as_o it_o will_v if_o left_a to_o itself_o for_o it_o be_v manifest_a by_o experience_n that_o the_o horizontal_n squirt_n of_o 30_o foot_n which_o continue_v two_o second_o descend_v not_o so_o much_o as_o eight_o foot_n when_o according_a to_o the_o law_n of_o body_n of_o equal_a weight_n it_o shall_v be_v 〈◊〉_d or_o at_o least_o by_o reason_n of_o the_o resistance_n of_o the_o air_n break_v the_o water_n it_o ought_v to_o descord_n 30_o foot_n finis_fw-la