with_o great_a facility_n either_o height_n breadth_n or_o depth_n as_o follow_v proposition_n i._n how_o to_o take_v a_o height_n accessible_a let_v it_o be_v propose_v to_o take_v the_o height_n of_o the_o tower_n ab_fw-la to_o the_o base_a or_o foot_n whereof_o one_o may_v easy_o approach_v dispose_v the_o cross_n of_o your_o instrument_n in_o such_o sort_n that_o dce_o be_v of_o equal_a distance_n there_o one_o from_o the_o other_o as_o thus_o settle_v your_o cross_n upon_o the_o first_o point_n of_o the_o index_n then_o set_v the_o instrument_n to_o your_o eye_n go_v either_o near_a or_o retire_v far_o from_o the_o object_n you_o desire_v to_o measure_v until_o you_o see_v a_o the_o high_a part_n thereof_o by_o the_o two_o extremity_n of_o the_o cross_n cd_o the_o inden_a be_v parallele_v to_o the_o earth_n which_o will_v happen_v in_o the_o point_n c_o and_o not_o elsewhere_o that_o be_v measure_v will_v be_v always_o the_o just_a height_n of_o the_o tower_n require_v only_o 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the_o distance_n ab_fw-la and_o that_o the_o place_n be_v accessible_a only_o in_o the_o middle_n upon_o the_o â—â—ne_n cf_n then_o dispose_v your_o instrument_n as_o before_o the_o cross_n place_v upon_o the_o first_o point_n of_o the_o index_n and_o go_v forward_o or_o backward_o upon_o â—he_n line_n cf_n direct_v your_o visuel_a line_n 〈◊〉_d a_o and_o in_o b_o by_o the_o two_o extreamiâ—es_n of_o the_o cross_n the_o end_n of_o the_o index_n rest_v against_o your_o eye_n then_o measure_v the_o distance_n between_o you_o and_o the_o point_n f_o and_o that_o shall_v be_v just_a half_a the_o distance_n require_v between_o ab_fw-la but_o if_o the_o place_n be_v inaccessible_a so_o that_o you_o may_v not_o approach_v near_o than_o the_o point_n d_o put_z forward_z the_o cross_n to_o the_o second_o point_n of_o the_o index_n &_o then_o direct_v your_o visuel_a line_n to_o ab_fw-la and_o leave_v a_o mark_n at_o d_o and_o put_v forward_o the_o cross_n one_o point_n more_o and_o go_v back_o upon_o the_o line_n de_fw-fr until_o you_o may_v direct_v your_o visuel_a line_n by_o the_o extremity_n of_o the_o cross_n again_o in_o a_o and_o b_o then_o measure_v the_o distance_n between_o de_fw-fr and_o that_o will_v be_v half_o the_o distance_n between_o ab_fw-la and_o so_o may_v you_o operate_v go_v back_o and_o put_v forward_o the_o cross_n proposition_n iu._n another_o manner_n how_o to_o take_v a_o distance_n inaccessible_a svppose_v the_o distance_n ab_fw-la to_o be_v take_v and_o that_o b_o be_v the_o near_a place_n that_o may_v be_v require_v then_o there_o must_v be_v set_v a_o mark_n and_o withdraw_v backward_o in_o a_o straight_a line_n towards_o c_o and_o there_o again_o plant_v another_o mark_n at_o c_o then_o go_v right_a towards_o one_o side_n as_o towards_o f_o count_v your_o place_n equal_a to_o the_o number_n which_o you_o have_v already_o find_v b_o and_o c_o and_o there_o direct_v your_o visuel_a line_n in_o bgc_n as_o in_o this_o figure_n at_o d_o leave_v there_o a_o mark_n go_v straight_o along_o towards_o f_o not_o move_v the_o cross_n of_o your_o instrument_n and_o go_v along_o make_v trial_n where_o your_o visuel_a line_n may_v be_v direct_v again_o in_o a_o and_o in_o c_o which_o will_v be_v in_o the_o point_n e_o and_o not_o elsewhere_o then_o leave_v there_o a_o mark_n and_o measure_v the_o distance_n between_o de_fw-fr and_o that_o shall_v be_v the_o distance_n which_o you_o require_v which_o be_v ab_fw-la the_o demonstration_n of_o this_o proposition_n be_v ground_v upon_o the_o second_o and_o four_o proposition_n of_o 6_o of_o euclid_n prop._n v._o how_o to_o take_v a_o distance_n only_o upon_o a_o line_n parallel_n to_o it_o let_v the_o distance_n ab_fw-la be_v require_v the_o which_o may_v neither_o be_v see_v nor_o come_v near_o unto_o but_o only_o upon_o the_o line_n or_o bank_n ck_n then_o upon_o that_o bank_n draw_v out_o a_o straight_a line_n with_o mark_n as_o the_o line_n ck_n parallel_n to_o the_o wall_n ab_fw-la and_o set_v a_o mark_n in_o k_o then_o go_v back_o towards_o d_o and_o direct_v your_o visuel_a line_n in_o b_o and_o in_o k_o by_o the_o extremity_n of_o the_o cross_a gh_o then_o leave_v the_o cross_n in_o the_o same_o state_n and_o a_o mark_n at_o d_o withdraw_v yourself_o further_o back_o towards_o c_o until_o you_o may_v direct_v your_o visuel_a line_n to_o a_o and_o k_n which_o will_v happen_v in_o c_o and_o not_o elsewhere_o and_o leave_v there_o another_o mark_n then_o measure_v the_o distance_n between_o cd_o and_o the_o same_o shall_v be_v the_o breach_n ab_fw-la equal_a to_o cd_o and_o the_o demonstration_n of_o this_o proposition_n be_v ground_v in_o the_o 29._o and_o 33._o proposition_n of_o the_o 1._o of_o euclid_n prop._n viii_o how_o to_o
first_o describe_v the_o morterpeece_n and_o the_o use_n thereof_o that_o be_v a_o instrument_n the_o most_o noble_a the_o most_o universal_a the_o best_a of_o great_a effect_n and_o of_o most_o wonderful_a operation_n of_o all_o the_o instrument_n the_o practice_n whereof_o may_v be_v use_v among_o firework_n for_o war_n for_o this_o instrument_n may_v serve_v for_o a_o petard_n to_o split_v break_v and_o hurl_v down_o door_n gate_n or_o wall_n likewise_o to_o massacre_v tear_v in_o piece_n overthrow_n and_o confound_v assailant_n of_o any_o place_n or_o breach_n and_o for_o diverse_a other_o most_o worthy_a office_n and_o accidental_a occasion_n which_o happen_v in_o the_o trouble_n of_o war_n whereof_o i_o will_v not_o here_o make_v a_o long_a weary_a and_o tedious_a discourse_n but_o in_o few_o word_n clear_o set_v down_o the_o use_n of_o this_o instrument_n for_o the_o shoot_n of_o diverse_a sort_n of_o granad_n stone_n or_o other_o weighty_a burden_n to_o ruin_v rebel_n their_o habitation_n and_o dwell_a place_n then_o first_o of_o all_o i_o will_v treat_v of_o the_o mettle_n whereof_o this_o instrument_n ought_v to_o be_v make_v and_o measure_n appertain_v thereunto_o chap._n ii_o the_o manner_n how_o to_o make_v the_o morterpeece_n this_o instrument_n may_v be_v make_v of_o diverse_a sort_n of_o mettle_n or_o stuff_n according_a to_o the_o mean_n time_n and_o occasion_n which_o shall_v offer_v themselves_o to_o those_o who_o will_v make_v they_o or_o cause_v they_o to_o be_v make_v the_o first_o and_o chief_a matter_n of_o all_o be_v red_a copper_n brass_n and_o tin_n but_o very_o little_a of_o the_o two_o last_o such_o as_o canon_n be_v make_v of_o without_o any_o other_o brickle_z or_o harsh_a metâ—â—â—_n mingle_v with_o it_o and_o be_v make_v of_o this_o stuff_n let_v the_o measure_n follow_v be_v observe_v if_o the_o diameter_n of_o the_o calliber_n or_o bear_v be_v one_o foot_n let_v the_o mortar_n be_v two_o foot_n of_o length_n &_o let_v the_o sack_n or_o hole_n for_o the_o powder_n be_v the_o three_o part_n of_o a_o foot_n broad_a and_o half_o a_o foot_n deep_a and_o let_v the_o mortar_n bear_v in_o thickness_n a_o inch_n and_o a_o half_a about_o one_o foot_n high_a and_o the_o rest_n only_o one_o inch_n thick_a the_o foot_n shall_v be_v one_o inch_n and_o a_o half_a thick_a and_o make_v square_a whether_o the_o instrument_n be_v for_o the_o service_n of_o war_n or_o recreation_n as_o do_v plain_o demonstrate_v the_o figure_n a_o follow_v the_o second_o mettle_n be_v iron_n such_o as_o common_o ordnance_n for_o ship_n be_v make_v of_o and_o be_v cast_v of_o this_o stuff_n the_o rule_v prescribe_v shall_v be_v find_v fit_a only_o let_v the_o mettle_n be_v somewhat_o â—hicker_a in_o every_o place_n the_o three_o â—nd_n four_o and_o most_o common_a material_n be_v past-board_n and_o canâ—as_n or_o pastboord_n and_o chord_n and_o either_o or_o these_o material_n must_v be_v join_v together_o with_o glue_n and_o be_v to_o be_v make_v 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from_o the_o â—owler_n and_o when_o this_o kind_n of_o trunk_n be_v very_o dry_a let_v the_o wooden_a foot_n be_v join_v to_o the_o one_o end_n with_o glue_n and_o nail_n very_o fast_o and_o then_o cover_v the_o whole_a with_o chord_n and_o glue_v again_o which_o be_v well_o dry_v the_o instrument_n may_v be_v of_o long_a service_n provide_v that_o it_o be_v not_o overcharge_v and_o as_o for_o the_o length_n the_o long_a carry_v further_a and_o the_o thick_a dure_v long_a by_o the_o figure_n c._n precedent_n the_o instrument_n be_v represent_v perfect_a with_o the_o touchhole_n in_o the_o right_a place_n require_v chap._n iii_o the_o manner_n how_o to_o make_v granade_n or_o mettle_n for_o the_o mortar_n or_o hand_n all_o granad_n be_v make_v to_o break_v aught_o to_o be_v compose_v of_o the_o most_o brickle_z mettle_n that_o may_v be_v find_v as_o of_o brass_n add_v the_o three_o part_n of_o tin_n to_o it_o as_o the_o founder_n know_v right_a well_o they_o may_v be_v also_o make_v of_o iron_n or_o of_o glass_n to_o cast_v out_o of_o man_n hand_n so_o that_o the_o glass_n be_v make_v very_o thick_a and_o these_o will_v work_v wondrous_a effect_n especial_o in_o any_o throng_n of_o horseman_n or_o footman_n and_o as_o for_o the_o thickness_n of_o those_o which_o be_v make_v of_o brass_n if_o the_o diameter_n be_v one_o foot_n let_v the_o mettle_n be_v one_o inch_n thick_a and_o let_v they_o be_v somewhat_o long_o than_o they_o be_v round_o as_o do_v demonstrate_v the_o figure_n a._n leave_v at_o the_o one_o end_n as_o it_o be_v a_o handle_n and_o on_o the_o other_o a_o screw_v hole_n by_o which_o mean_v the_o granad_n may_v be_v charge_v also_o let_v there_o be_v make_v a_o hollow_a vice_n fit_v for_o the_o former_a screw_n which_o vice_n shall_v be_v fill_v with_o a_o slow_a composition_n make_v with_o gunpowder_n well_o â—ruised_v and_o cull_v and_o then_o make_v â—nto_o pass_v with_o oil_n of_o petrole_v but_o if_o the_o powder_n be_v excellent_a good_a and_o strong_a then_o mingle_v with_o a_o pound_n of_o powder_n one_o ounce_n of_o charcoal_n dust_n to_o make_v it_o weaker_n then_o let_v â—he_n composition_n be_v well_o beat_v â—nto_o the_o hollow_v vice_n which_o be_v represent_v by_o the_o figure_n b._n and_o the_o granad_n shall_v be_v fill_v with_o fine_a gunpowder_n which_o be_v full_a let_v the_o vice_n be_v screw_v into_o the_o hollow_a hole_n of_o the_o granade_n only_o it_o be_v to_o be_v note_v that_o the_o vice_n must_v not_o be_v open_a at_o the_o low_a end_n but_o have_v a_o bottom_n soder_v strong_o wherein_o shall_v be_v make_v three_o or_o â—â—ure_a little_a hole_n about_o the_o bigness_n of_o a_o tag_n of_o a_o point_n to_o give_v fire_n to_o â—â—e_z powder_n when_o the_o granad_n have_v fâ—owne_v the_o space_n require_v for_o the_o performance_n whereof_o it_o be_v needful_a that_o you_o know_v the_o quickness_n oâ—_n slowness_n of_o the_o mixture_n wherewith_o the_o hollow_a screw_n be_v to_o be_v fill_v and_o for_o the_o better_a experience_n it_o shall_v be_v convenient_a to_o make_v of_o all_o of_o one_o with_o a_o granade_n make_v 〈◊〉_d wood_n cloth_n pastboord_n or_o aâ—y_v other_o stuff_n fill_v with_o earth_n â—ut_v let_v it_o be_v near_o to_o the_o weight_n of_o â—â—ose_n which_o you_o desire_v to_o make_v use_n of_o afterward_o and_o by_o that_o mean_v you_o may_v know_v how_o long_o â—ou_a aught_o to_o make_v your_o hollow_a vice_n which_o be_v call_v by_o their_o â—roper_a term_n portfire_n and_o â—hus_o much_o of_o your_o granade_n be_v perform_v now_o let_v it_o be_v all_o cover_v over_o with_o either_o chord_n canvas_n or_o pastboord_o and_o dip_v in_o glue_n or_o in_o pitch_n this_o cover_n may_v be_v near_o half_a a_o inch_n thick_a to_o the_o end_n that_o the_o granade_n go_v out_o of_o the_o mortar_n with_o violence_n it_o break_v not_o and_o work_v his_o execution_n upon_o yourself_o or_o your_o company_n instead_o of_o your_o enemy_n of_o what_o mettle_n soever_o the_o granad_n be_v make_v these_o rule_n be_v to_o be_v observe_v and_o by_o the_o figure_n c_o be_v represent_v a_o granade_n quite_o finish_v and_o dip_v into_o pitch_n by_o which_o mean_v it_o may_v be_v conserve_v many_o year_n these_o sort_n of_o granad_n work_v great_a effect_n fall_v upon_o house_n they_o cast_v down_o the_o wall_n and_o cover_n likewise_o they_o work_v wondrous_a operation_n among_o either_o horseman_n or_o footman_n tear_v both_o man_n and_o beast_n in_o piece_n spare_v nothing_o chap._n iu._n the_o manner_n how_o to_o make_v granad_n of_o canvas_n for_o the_o mortar_n the_o operation_n or_o execution_n of_o these_o sort_n of_o granad_n make_v of_o canvas_n be_v quite_o contrary_a to_o those_o prescribe_v these_o be_v only_o fit_a to_o set_v a_o
town_n on_o fire_n the_o house_n whereof_o be_v most_o cover_v with_o reed_n straw_n or_o broom_n they_o be_v not_o of_o so_o violent_a execution_n as_o the_o precedent_n yet_o notwithstanding_o of_o as_o great_a cost_n and_o for_o the_o make_n of_o they_o you_o must_v have_v a_o wooden_a â—owler_n which_o be_v represent_v by_o the_o â—igure_n a_o of_o the_o bigness_n you_o desire_v â—o_o make_v the_o granad_n which_o always_o ought_v to_o be_v less_o than_o the_o calliber_n or_o bear_v of_o your_o mortar_n to_o the_o end_n â—hey_n may_v be_v cover_v afterward_o â—nd_v upon_o the_o rowler_n make_v a_o sack_n of_o â—uch_n cloth_n as_o you_o please_v as_o do_v represent_v the_o figure_n b_o cut_v a_o piece_n to_o â—over_v the_o upper_a end_n when_o the_o sack_n â—hall_v be_v full_a of_o the_o composition_n follow_v take_v four_o pound_n of_o saltpetre_n two_o pound_n of_o gunpowder-â—ust_a two_o pound_n of_o brimstone_n all_o â—hese_n be_v well_o pulverize_v let_v they_o â—e_v moisten_v with_o oil_n of_o petrole_v â—nd_v then_o fill_v your_o sack_n with_o the_o â—ame_n and_o cover_v they_o with_o chord_n which_o do_v pierce_v the_o sack_n full_a of_o hole_n with_o a_o great_a bodkin_n as_o represent_v the_o figure_n e_o and_o in_o every_o hole_n place_v a_o little_a iron_n barrel_n charge_v like_o a_o pistol_n barrel_n these_o little_a barrel_n be_v represent_v by_o d_o which_o must_v be_v drive_v into_o the_o sack_n up_o to_o the_o head_n and_o the_o granad_a be_v thus_o dispose_v let_v there_o be_v make_v at_o the_o one_o end_v a_o hole_n about_o one_o inch_n deep_a which_o shall_v serve_v to_o prime_a it_o with_o powder-dust_n moisten_v with_o oil_n of_o petrole_v only_o it_o be_v to_o be_v note_v that_o the_o touch-hole_n of_o the_o little_a barrel_n be_v make_v somewhat_o large_a to_o the_o end_n â—hat_n the_o rust_n stop_v they_o not_o be_v â—ong_a time_n keep_v among_o the_o salt-pete_a and_o so_o they_o may_v be_v conserve_v many_o year_n and_o ready_a for_o service_n â—n_v all_o occasion_n the_o figure_n c._n do_v â—emonstrate_v the_o granad_a perfect_a and_o â—urning_a chap._n v._o how_o to_o make_v fiery_a arrow_n to_o avoid_v all_o confusion_n i_o will_v treat_v first_o of_o all_o the_o fire_n which_o be_v cast_v with_o violence_n and_o afterward_o of_o those_o which_o may_v be_v cast_v out_o of_o man_n hand_n and_o first_o it_o be_v to_o be_v observe_v that_o fiery_a arrow_n be_v of_o great_a effect_n and_o noisome_a at_o sea_n special_o if_o the_o ship_n approach_v any_o thing_n near_o so_o that_o they_o may_v be_v 〈◊〉_d or_o cast_v into_o the_o sail_n chord_v 〈◊〉_d of_o the_o ship_n either_o by_o crossbow_n long_a bow_n or_o any_o other_o mean_n for_o so_o much_o as_o a_o ship_n be_v once_o a_o fire_n hardly_o can_v it_o be_v extinguish_v and_o thus_o the_o arrow_n ought_v to_o be_v make_v first_o a_o long_a shaft_n of_o wood_n â—nd_v join_v to_o it_o a_o iron_n head_n make_v after_o the_o manner_n of_o the_o figure_n a_o and_o about_o the_o middle_n of_o that_o head_n make_v fast_o a_o linen_n bag_n in_o the_o form_n of_o a_o olive_n leave_v open_a a_o hole_n at_o â—he_n end_v before_o as_o may_v be_v see_v by_o the_o figure_n b_o that_o it_o may_v be_v fill_v with_o the_o composition_n follow_v â—ake_z one_o pound_n of_o saltpetre_n half_o a_o â—ound_n of_o gunpowder-dust_n and_o â—alfe_a a_o pound_n of_o brimstone_n in_o â—owder_n all_o these_o ingredient_n â—eeing_v well_o mingle_v and_o minâ—ed_v with_o oil_n of_o petrole_v then_o fill_v â—e_a bag_n round_o about_o the_o arrow_n â—ead_a note_v by_o b_o and_o then_o let_v all_o be_v well_o bind_v about_o with_o wire_n and_o â—r_o the_o prime_a of_o these_o arrow_n dip_v cotton_n week_n into_o gunpowder_n wet_a with_o water_n but_o let_v the_o cotton_n be_v well_o dry_v again_o before_o it_o be_v apply_v to_o the_o arrow_n head_n now_o for_o the_o join_n of_o your_o arrow_n head_n to_o the_o wooden_a shaft_n it_o ought_v to_o be_v so_o slight_o fasten_v to_o it_o that_o be_v shake_v into_o any_o sail_n cordage_n or_o wood_n so_o that_o if_o any_o one_o will_v pluck_v it_o back_o the_o shaft_n shall_v slip_v out_o of_o the_o head_n and_o so_o continue_v burn_v in_o the_o place_n pretend_v and_o to_o hinder_v that_o one_o may_v not_o pluck_v out_o the_o head_n with_o their_o hand_n there_o may_v be_v make_v â—_o small_a hole_n quite_o through_o backward_o and_o so_o the_o fire_n will_v hinder_v a_o man_n from_o touch_v any_o part_n thereof_o although_o it_o shall_v stick_v in_o other_o of_o his_o fellow_n clothes_n there_o may_v â—e_v make_v little_a arrow_n of_o the_o same_o fashion_n to_o be_v cast_v out_o of_o man_n hand_n in_o â—ny_a meeting_n assault_n breach_n or_o â—ther_o occasion_n and_o if_o there_o shall_v be_v â—reat_a haste_n for_o the_o make_n of_o they_o â—esse_a fashion_n may_v serve_v have_v only_o â—â—ttle_a stick_n of_o wood_n about_o a_o foot_n â—nd_v a_o half_a long_a and_o in_o stead_n of_o the_o â—ead_a prescribe_v a_o pike_n like_o a_o â—reat_a nail_n and_o in_o lieu_n of_o feather_n piece_n of_o past-boord_n stick_v into_o the_o end_n of_o the_o wood_n be_v slit_v but_o the_o former_a composition_n shall_v be_v require_v chap._n vi_o how_o the_o granad_n be_v to_o be_v charge_v into_o the_o mortar_n although_o it_o seem_v to_o be_v but_o a_o small_a difficulty_n to_o charge_v the_o granad_n into_o the_o mortar_n yet_o it_o be_v the_o great_a mastery_n and_o most_o curious_a work_n which_o have_v be_v find_v among_o firework_n and_o the_o most_o industrious_a engineer_n that_o ever_o i_o yet_o see_v have_v after_o be_v deceive_v therein_o and_o shor_v â—ut_v their_o granad_n they_o not_o take_v â—ire_n which_o be_v absolute_o one_o of_o the_o great_a fault_n that_o may_v be_v commit_v then_o to_o avoid_v such_o great_a error_n it_o shall_v be_v needful_a to_o note_v maâ—y_v observation_n follow_v whereof_o the_o first_o be_v that_o you_o put_v not_o too_o much_o powder_n in_o your_o mortar_n marmark_v a_o but_o only_o the_o powder-â—ckefull_a second_o that_o the_o prime_a â—f_n your_o granad_n be_v firm_a not_o spoil_v with_o dust_n or_o dyrtie_n moistness_n or_o other_o like_a thing_n that_o it_o be_v not_o also_o too_o dry_a lest_o all_o break_n about_o yourself_o go_v out_o of_o the_o mortar_n take_v â—re_n too_o quick_a which_o all_o firework_n â—re_n very_o subject_a to_o do_v then_o take_v â—eed_o that_o the_o granad_n enter_v not_o too_o hard_o into_o the_o mortar_n which_o will_v cause_v it_o to_o break_v in_o the_o discharge_n also_o it_o be_v not_o needful_a that_o it_o enter_v too_o loose_o all_o these_o thing_n be_v well_o observe_v you_o must_v have_v always_o ready_a portfire_n for_o your_o mortar_n which_o may_v be_v make_v about_o the_o bigness_n of_o your_o little_a finger_n and_o hollow_v within_o about_o the_o bigness_n of_o a_o quill_n even_o to_o the_o bottom_n note_a b_o this_o portfire_n be_v to_o enter_v with_o a_o vice_n into_o the_o touchhole_n of_o the_o mortar_n about_o half_a â—n_n inch_n and_o to_o turn_v the_o vice_n without_o any_o key_n there_o may_v be_v make_v 4_o button_n at_o the_o outside_n of_o the_o upper_a â—nd_n and_o let_v this_o portfire_n be_v charge_v with_o a_o slow_a composition_n mingle_v 4._o ounce_n of_o charcoal_n with_o a_o pound_n of_o powder-dust_n this_o be_v do_v and_o your_o granad_n place_v in_o your_o mortar_n â—o_o that_o it_o shake_v not_o close_o up_o the_o â—hinks_v round_o about_o your_o granade_n within_o the_o mortar_n with_o grease_n wax_n â—itch_n &_o grease_n or_o any_o such_o like_a thing_n you_o may_v so_o cover_v the_o granad_n with_o â—ome_o such_o stuff_n that_o in_o any_o weather_n wet_a or_o dry_a you_o shall_v find_v no_o difficulty_n to_o shoot_v off_o the_o granad_n in_o any_o place_n wheresoever_o you_o please_v chap._n vii_o the_o manner_n how_o to_o shoot_v the_o granad_n there_o be_v no_o less_o difficulty_n well_o to_o discharge_v the_o granad_n then_o to_o charge_v they_o but_o the_o contrary_n will_v easy_o appear_v for_o it_o be_v there_o where_o the_o hazard_n and_o danger_n most_o great_a do_v meet_v together_o and_o the_o first_o of_o all_o be_v the_o adversary_n canon_n from_o who_o danger_n the_o engineer_n shall_v easy_o conserve_v himself_o as_o follow_v cause_v to_o be_v make_v a_o trench_n like_o unto_o a_o half_a moon_n the_o connexity_n thereof_o be_v towards_o the_o enemy_n as_o appear_v by_o the_o figure_n a_o this_o trench_n shall_v be_v of_o such_o bigness_n â—s_v the_o engineer_n may_v convenient_o place_v all_o such_o thing_n as_o shall_v be_v needful_a for_o his_o present_a use_n the_o second_o difficulty_n follow_v be_v how_o to_o shoot_v â—hem_fw-mi right_a to_o the_o place_n of_o any_o fort_n â—or_a
and_o lay_v a_o dry_n shall_v be_v ready_a for_o all_o occasion_n chap._n vi_o the_o manner_n how_o to_o make_v serpent_n the_o serpent_n be_v to_o be_v make_v either_o of_o the_o composition_n for_o rocket_n on_o the_o ground_n or_o of_o that_o for_o the_o air_n for_o be_v fill_v with_o the_o composition_n fit_v for_o the_o ground_n they_o will_v spread_v and_o sparkle_v lively_a in_o the_o air_n but_o if_o fill_v with_o the_o other_o composition_n they_o will_v fall_v weave_v near_o together_o notwithstanding_o either_o sort_n will_v show_v divers_a please_a action_n in_o the_o air_n be_v make_v as_o follow_v let_v the_o cartoush_n be_v about_o four_o inch_n long_o and_o roll_a upon_o a_o rowler_n somewhat_o big_a than_o a_o goose_n quill_n as_o be_v represent_v by_o the_o precedent_a figure_n g_o in_o the_o three_o chapter_n the_o paper_n ought_v to_o go_v about_o the_o rowler_n nine_o or_o ten_o time_n and_o then_o choke_v almost_o in_o the_o middle_n yet_o leave_v a_o little_a hole_n to_o see_v through_o and_o the_o long_a part_n shall_v be_v fill_v with_o the_o composition_n but_o the_o short_a with_o fine_a grain_a powder_n and_o choke_v close_o also_o the_o long_a end_n must_v be_v half_o choke_v close_o as_o do_v appear_v by_o the_o figure_n f_o chapter_n three_o but_o if_o you_o desire_v not_o to_o have_v they_o wamble_v in_o the_o air_n then_o let_v they_o not_o be_v choke_v after_o the_o composition_n but_o as_o do_v represent_v the_o figure_n g_o both_o which_o figure_n f_o g_o represent_v serpent_n quite_o finish_v chap._n vii_o how_o to_o make_v golden_a rain_n many_o there_o be_v special_o in_o france_n who_o make_v rocket_n yea_o and_o boast_v that_o they_o be_v perfect_a therein_o who_o know_v not_o what_o golden_a rain_n be_v but_o think_v it_o to_o be_v some_o other_o thing_n than_o it_o be_v wherefore_o to_o put_v they_o out_o of_o doubt_n and_o to_o teach_v all_o other_o who_o desire_v the_o knowledge_n thereof_o i_o will_v here_o set_v down_o the_o description_n and_o manner_n how_o to_o make_v it_o take_v goose_n quill_n and_o cut_v off_o the_o hollow_a end_n leave_v they_o as_o long_o as_o may_v be_v as_o the_o figure_n k_o do_v demonstrate_v three_o chap._n and_o fill_v these_o quill_n with_o the_o composition_n of_o rocket_n for_o the_o air_n at_o the_o last_o stop_v every_o one_o with_o a_o little_a wet_a powder_n to_o keep_v in_o the_o dry_a powder_n &_o crown_v a_o rocket_n with_o these_o as_o shall_v be_v teach_v follow_v chap._n 12._o in_o its_o true_a place_n will_v show_v a_o most_o glorious_a &_o please_a rain_n which_o some_o have_v in_o time_n past_o see_v have_v call_v it_o golden_a rain_n for_o the_o beauty_n thereof_o but_o of_o late_a time_n it_o be_v more_o common_o call_v golden_a hear_v many_o beautiful_a and_o strange_a figure_n may_v be_v represent_v in_o the_o air_n with_o this_o manner_n of_o rain_n as_o shall_v follow_v in_o the_o 13_o chap._n treat_v how_o to_o represent_v many_o sort_n of_o figure_n in_o the_o air_n with_o rocket_n chap._n viii_o the_o manner_n how_o to_o make_v star_n although_o that_o there_o be_v many_o sort_n of_o composition_n for_o star_n yet_o i_o will_v set_v down_o here_o but_o two_o of_o the_o best_a all_o the_o rest_n be_v nothing_o worth_a but_o frivolous_a and_o expensive_a the_o fiâ—st_n and_o best_a sort_n be_v to_o be_v make_v of_o dry_a powder_n and_o the_o other_o of_o moistened_a powder_n as_o follow_v for_o the_o â—â—sort_n take_v 1._o pound_n of_o saltpetre_n half_o a_o pound_n of_o brimston_n and_o a_o quarter_n of_o a_o pound_n of_o gunpowder_n dust_n all_o these_o be_v pluâ—riâ—ed_v &_o mingle_v together_o wrap_v the_o quantity_n of_o a_o nutmeg_n in_o tow_n in_o a_o linen_n rag_n or_o in_o paper_n and_o bind_v it_o fast_o as_o appear_v by_o the_o precedent_a figure_n h_n chap_n 3_o and_o to_o prime_n they_o you_o must_v pierce_v they_o with_o the_o bodkin_n and_o put_v stoupell_v or_o cotton_n wieke_v dip_v in_o powder_n through_o they_o which_o shall_v be_v make_v as_o follow_v in_o the_o 11._o chap._n and_o to_o make_v the_o second_o sort_n take_v 1._o pound_n of_o salt-peter_n and_o half_o a_o pound_n of_o powder-dust_n and_o half_o a_o pound_n of_o brimstone_n all_o these_o well_o pulverize_v and_o mingle_v together_o moisten_v they_o with_o either_o oil_n of_o petrole_v or_o else_o wiâ—h_v fair_a water_n only_o to_o make_v a_o past_a of_o they_o whereof_o make_v little_a ball_n about_o the_o bigness_n of_o a_o musket_n bullet_n and_o while_o they_o be_v moist_a roll_v they_o in_o dry_a powder_n dust_n then_o let_v they_o dry_a and_o then_o may_v you_o employ_v they_o at_o your_o pleasure_n without_o further_a trouble_n for_o the_o last_o powder_n in_o which_o they_o be_v roll_v do_v serve_v for_o their_o prime_a this_o last_o sort_n of_o star_n do_v not_o make_v so_o beautiful_a a_o show_n in_o the_o air_n as_o the_o other_o for_o fall_v down_o the_o flame_n of_o they_o take_v the_o form_n of_o a_o lamp_n have_v no_o force_n to_o expel_v it_o like_o wing_n as_o the_o other_o do_v for_o the_o flame_n of_o the_o other_o blow_v out_o of_o the_o two_o side_n pierce_v make_v it_o stretch_v in_o length_n and_o by_o that_o mean_n show_v great_a in_o the_o air_n chap._n ix_o how_o to_o make_v star_n give_v great_a report_n to_o make_v star_n that_o each_o one_o shall_v give_v a_o report_n like_o a_o pistol_n or_o big_a gun_n you_o must_v first_o make_v little_a saucisson_n as_o i_o teach_v in_o the_o chapter_n follow_v but_o the_o saucisson_n need_v not_o to_o be_v cover_v with_o chord_n and_o be_v make_v and_o pierce_v take_v as_o much_o of_o the_o former_a dry_a composition_n and_o bind_v it_o to_o the_o end_n of_o the_o saucisson_n which_o be_v pierce_v make_v a_o hole_n through_o the_o composition_n and_o pass_v a_o piece_n of_o stoupell_v or_o cotten-wieke_a as_o in_o the_o other_o star_n but_o if_o you_o take_v of_o the_o moist_a composition_n you_o may_v only_o leave_v the_o 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head_n than_o four_o time_n 8_o be_v 32_o and_o set_v they_o underneath_o and_o the_o whole_a will_v be_v 21_o 32_o part_n of_o a_o fathom_n which_o certain_o contain_v the_o require_a superficies_n chap._n xi_o multiplication_n of_o entier_n and_o fraction_n to_o multiply_v ¼_n by_o 2½_n you_o must_v first_o of_o all_o reduce_v the_o whole_a into_o fraction_n and_o then_o as_o here_o above_o multiply_v numerator_n by_o numerator_fw-la and_o denominator_fw-la by_o denominator_fw-la and_o the_o product_n will_v be_v 45_o â—8_o as_o plain_o appear_v by_o the_o example_n follow_v but_o if_o it_o be_v propose_v to_o multiply_v great_a number_n as_o 20_o by_o 15_o 26_o 29_o then_o multiply_v the_o 15._o intier_n by_o the_o deno_fw-la 29._o of_o the_o fraction_n &_o then_o add_v the_o numerator_n 26_o of_o the_o same_o fraction_n which_o do_v will_v mount_v to_o 461_o 29_o than_o set_v the_o 461_o over_o a_o line_n and_o the_o 29._o under_o it_o and_o afterward_o multiply_v the_o 20_o 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fraction_n as_o follow_v yard_n pound_n yard_n if_o 2¼_n 12½_n 7½_n 9_o 4_o 25_o 2_o 15_o 2_o which_o do_v you_o must_v multiply_v the_o second_o number_n of_o fraction_n as_o by_o the_o three_o number_n of_o fraction_n 15_o &_o then_o again_o multiply_v the_o product_n by_o 4_o the_o denominator_fw-la of_o the_o first_o number_n and_o then_o say_v 2_o time_n 2_o or_o 4_o and_o 4_o time_n 9_o be_v 36_o which_o must_v be_v set_v under_o the_o line_n by_o which_o you_o shall_v divide_v the_o first_o product_n 1500_o and_o the_o quotient_n shall_v be_v the_o number_n require_v as_o appear_v here_o follow_v two_o example_n differ_v the_o one_o from_o the_o other_o whereof_o the_o manner_n of_o multiply_v the_o one_o be_v more_o easy_a than_o the_o other_o the_o first_o be_v multiply_v as_o the_o precedent_n but_o the_o last_o be_v multiply_v first_o by_o all_o the_o intirre_n viz._n by_o 3_o by_z 8_o and_o by_o three_o leave_v the_o fraction_n â—_o by_o itself_o and_o after_o all_o take_v the_o thirâ—_n of_o the_o inty_a viz._n of_o 50000_o say_v thâ—_n three_o part_n of_o 5_o be_v one_o rest_n 2_o for_o the_o 10_o which_o be_v valuate_v at_o 20_o then_o say_v the_o three_o part_n of_o 20_o be_v 6_o and_o so_o rest_v 2_o for_o the_o second_o 0_o and_o so_o to_o the_o end_n and_o what_o shall_v rest_v at_o last_o shall_v be_v set_v over_o a_o line_n and_o your_o 3_o four_o or_o 5_o under_o the_o line_n than_o all_o be_v add_v together_o you_o shall_v divide_v the_o product_n cut_v off_o the_o figure_n to_o the_o quantity_n of_o the_o first_o number_n say_v by_o ten_o by_o a_o hundred_o by_o a_o thousand_o by_o ten_o thousand_o by_o a_o hundred_o thousand_o &_o the_o remainder_n be_v the_o number_n require_v as_o appear_v 191â…”_n the_o first_o example_n the_o second_o number_n be_v multiply_v by_o the_o three_o do_v mount_v to_o 57500000_o and_o be_v divide_v by_o the_o first_o multiply_v by_o 3_o as_o before_o be_v teach_v the_o quotient_n will_v be_v 191_o 2_o â—0_n the_o second_o example_n chap._n xviii_o extraction_n of_o the_o square_a root_n first_o dispose_v your_o number_n as_o follow_v out_o of_o which_o you_o mean_v to_o draw_v the_o root_n separate_v your_o figure_n by_o two_o and_o two_o beginning_n at_o the_o latter_a end_n but_o first_o strike_v the_o half_a circle_n 73_o 21_o 01_o and_o then_o say_v the_o root_n of_o 73_o be_v 8_o and_o set_v 8_o before_o the_o half_a circle_n &_o rest_v 9_o then_o double_a the_o quotient_a 8_o and_o say_v 2_o time_n 8_o be_v 16_o and_o set_v the_o 6_o under_o the_o last_o figure_n of_o the_o second_o part_n of_o figure_n and_o 1_o under_o the_o first_o figure_n of_o the_o first_o part_n aâ—_n in_o this_o first_o example_n then_o say_v how_o many_o time_n be_v 1_o in_o 9_o and_o it_o shall_v be_v 5._o which_o you_o shall_v also_o set_v under_o the_o 1_o of_o the_o second_o separation_n as_o apppeare_v in_o this_o second_o example_n and_o than_o say_v 5_o time_n 1_o be_v 5_o which_o take_v out_o of_o 9_o rest_n 4_o and_o 5_o time_n 6_o be_v 30_o and_o 30_o out_o of_o 32_o rest_n 2_o and_o 3_o out_o of_o 4_o rest_n 1_o and_o then_o again_o say_v 5_o time_n 5_o be_v 25_o which_o out_o of_o 3â—_n rest_v 6._o and_o 3._o out_o of_o 12._o rest_n 9_o and_o then_o double_a the_o quotient_a and_o say_v twice_o 5_o be_v 10_o set_v 0_o under_o 0_o of_o the_o last_o separation_n and_o keep_v â—_o in_o memory_n and_o say_v twice_o 8_o be_v 16_o and_o 1_o that_o i_o keep_v in_o mind_n make_v 17_o then_o set_v down_o 7_o under_o the_o 5_o and_o the_o 1_o under_o the_o 6_o of_o the_o middle_a separation_n as_o appear_v in_o this_o example_n follow_v and_o than_o say_v how_o many_o time_n be_v 1_o in_o 9_o and_o it_o shall_v be_v 5_o time_n which_o shall_v be_v set_v down_o for_o quotient_a and_o also_o under_o the_o last_o figure_n 1_o and_o then_o say_v 5_o time_n 1_o be_v 5_o out_o of_o 9_o reâ—ts_n 4_o and_o 5._o time_n 7_o be_v 35_o which_o out_o of_o 36_o rest_n 1_o and_o 3_o out_o of_o 4_o rest_n 1_o and_o 5_o time_n 0_o be_v 0_o and_o 5._o time_n 5_o be_v 25._o out_o of_o 31_o rest_n 6_o &_o 3_o out_o of_o 10_o rest_n 7_o and_o 1_o out_o of_o 1_o rest_n 0_o and_o so_o the_o rule_n be_v end_v as_o appear_v follow_v chap._n xix_o another_o example_n of_o the_o square_a root_n after_o you_o have_v separate_v your_o figure_n by_o two_o and_o two_o and_o draw_v 251_o the_o square_a root_n there_o do_v yet_o rest_v 268_o which_o must_v be_v reduce_v into_o fraction_n and_o to_o begin_v set_v that_o rest_n 268_o over_o a_o line_n at_o the_o end_n of_o your_o root_n and_o that_o rest_n