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end_n draw_v line_n perpendicular_a 3,095 5 14.0786 5 true
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ID Title Author Corrected Date of Publication (TCP Date of Publication) STC Words Pages
A06780 A treatise of artificial fire-vvorks both for vvarres and recreation with divers pleasant geometricall obseruations, fortifications, and arithmeticall examples. In fauour of mathematicall students. Newly written in French, and Englished by the authour Tho: [sic] Malthus.; Traité des feux artificiels pour la guerre, et pour la recreation. English Malthus, Francis.; Cecil, Thomas, fl. 1630, engraver. 1629 (1629) STC 17217; ESTC S109781 49,979 283

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adays_o seem_v to_o write_v with_o serpent_n tongue_n sting_a virtue_n on_o every_o side_n against_o who_o viperous_a venom_n patience_n be_v the_o only_a antedote_n leave_v they_o to_o sweat_v vex_v and_o torment_v themselves_o in_o their_o insatiable_a rage_n and_o to_o end_v my_o discourse_n touch_v the_o perfection_n of_o this_o unguent_n i_o will_v assure_v all_o these_o who_o shall_v have_v need_n and_o make_v use_v thereof_o that_o they_o shall_v find_v in_o operation_n what_o i_o have_v here_o set_v down_o in_o description_n a_o treatise_n of_o practical_a geometry_n to_o satisfy_v diverse_a of_o my_o friend_n and_o yield_v to_o their_o desire_n who_o treaty_n have_v be_v such_o powerful_a command_n to_o i_o that_o i_o have_v be_v constrain_v to_o lay_v aside_o and_o forsake_v my_o own_o proper_a will_n and_o follow_v they_o i_o have_v set_v forth_o this_o little_a treatise_n of_o practical_a geometry_n to_o the_o view_n and_o censure_n of_o the_o world_n which_o i_o acknowledge_v to_o be_v unworthy_a of_o so_o many_o singular_a and_o industrious_a wit_n as_o yearly_a spring_n up_o in_o this_o island_n and_o the_o adiacent_n thereunto_o notwithstanding_o i_o have_v give_v way_n to_o their_o request_n for_o their_o private_a contentment_n and_o to_o assure_v the_o world_n that_o i_o have_v nothing_o no_o not_o my_o own_o will_n proper_a to_o myself_o but_o that_o i_o will_v follow_v as_o near_o as_o possible_a i_o may_v the_o precept_n and_o document_n of_o that_o ancient_a wise_a and_o divine_a philosopher_n plato_n who_o say_v non_fw-la nobis_fw-la nati_fw-la sumus_fw-la sed_fw-la patriae_fw-la &_o amiciss_fw-la we_o be_v not_o bear_v for_o ourselves_o but_o for_o the_o service_n of_o our_o country_n and_o friend_n then_o for_o the_o satisfaction_n of_o my_o friend_n and_o service_n of_o those_o who_o will_v accept_v these_o my_o labour_n i_o have_v clear_o and_o in_o few_o word_n set_v down_o the_o manner_n how_o any_o man_n who_o have_v never_o so_o little_o study_v geometry_n may_v take_v any_o distance_n or_o height_n depth_n or_o breadth_n with_o two_o little_a stick_n yea_o e●en_a straw_n be_v lay_v a_o cross_n also_o i_o have_v set_v down_o a_o method_n how_o to_o take_v any_o kind_n of_o height_n distance_n or_o depth_n with_o the_o sector_n without_o any_o arithmetic_n or_o rule_n thereof_o and_o also_o by_o the_o sin_n tangent_n and_o secant_v the_o whole_a be_v very_o portable_a to_o refresh_v the_o memory_n &_o to_o strengthen_v and_o augment_v the_o knowledge_n of_o those_o who_o for_o want_n of_o practice_n have_v not_o the_o perfect_a use_n of_o those_o instrument_n then_o first_o of_o all_o i_o will_v set_v down_o the_o manner_n how_o to_o accommodate_v and_o dispose_v the_o stick_n twigg_n or_o straw_n for_o the_o measure_n of_o any_o distance_n the_o method_n how_o to_o make_v the_o crosse._n have_v two_o stick_n the_o one_o long_a and_o the_o other_o somewhat_o short_a as_o be_v represent_v in_o the_o figure_n follow_v by_o cf_n and_o de_fw-fr then_o mark_v upon_o the_o stick_n cf_n point_v the_o one_o distant_a from_o the_o other_o precise_o half_o the_o length_n of_o de_fw-fr and_o let_v there_o be_v a_o hole_n make_v through_o the_o stick_n de_fw-fr so_o that_o it_o may_v slide_v upon_o cf_n from_o end_n to_o end_n and_o you_o shall_v know_v the_o two_o part_n of_o the_o cross_n by_o these_o name_n the_o long_a part_n cf_n shall_v be_v call_v the_o index_n and_o the_o short_a de_fw-fr the_o cross_n now_o if_o you_o have_v any_o height_n to_o take_v then_o fasten_v to_o one_o end_n of_o the_o cross_n as_o to_o d_o a_o perpendicular_a or_o plummet_n and_o for_o the_o more_o easy_a and_o just_a operation_n you_o shall_v have_v a_o foot_n to_o support_v the_o cross_n the_o instrument_n be_v thus_o prepare_v you_o may_v measure_v
shall_v be_v numerator_n of_o the_o fraction_n and_o to_o find_v the_o denominator_fw-la only_o double_a the_o root_n 251_o if_o it_o be_v big_a than_o the_o rest_n but_o if_o less_o as_o here_o add_v one_o to_o the_o double_n of_o the_o first_o figure_n say_v twice_o 1_o be_v 2_o and_o 1_o that_o i_o add_v make_v 3_o add_v only_o double_a the_o rest_n and_o set_v it_o under_o the_o line_n and_o that_o shall_v be_v the_o denominator_fw-la of_o the_o fraction_n and_o to_o have_v the_o root_n of_o this_o fraction_n here_o above_o first_o take_v the_o root_n of_o the_o numerator_n and_o set_v that_o root_n over_o a_o line_n and_o it_o shall_v be_v numerator_n as_o appear_v follow_v then_o draw_v root_n of_o the_o denominator_fw-la and_o set_v it_o under_o the_o line_n and_o that_o shall_v be_v a_o denominator_fw-la and_o so_o you_o shall_v find_v 16_o 22_o and_o what_o rest_v be_v unsensible_a but_o because_o that_o this_o fraction_n 16_o 22_o be_v not_o precise_o perfect_a and_o that_o there_o be_v a_o rest_n in_o each_o extraction_n you_o may_v operate_v as_o follow_v to_o have_v it_o move_v exact_o add_v as_o well_o to_o the_o numerator_n as_o to_o the_o denominator_fw-la two_o 00_o or_o four_o or_o six_o etc._n etc._n and_o from_o each_o product_n or_o quotient_a out_o of_o one_o figure_n for_o every_o two_o 00_o which_o you_o shall_v have_v add_v and_o the_o more_o that_o you_o add_v 00_o the_o more_o precise_o you_o shall_v have_v the_o root_n as_o appear_v follow_v but_o if_o it_o be_v propose_v to_o extract_v the_o square_a root_n of_o 16_o 25_o there_o will_v nothing_o rest_v nor_o will_v it_o be_v needful_a to_o add_v any_o 00_o for_o the_o root_n of_o 16_o be_v 4_o and_o the_o root_n of_o 25_o be_v 5_o and_o so_o we_o shall_v have_v 4_o 5_o and_o the_o like_a in_o all_o such_o other_o accident_n and_o thus_o much_o for_o arithmetic_n vale._n finis_fw-la the_o content_n a_o treatise_n of_o firework_n for_o war_n page_n 1_o the_o manner_n how_o to_o make_v the_o morterpeece_n pag._n 5._o the_o manner_n how_o to_o make_v granades_n or_o mettle_n for_o the_o mortar_n or_o hand_n pag._n 10._o the_o manner_n how_o to_o make_v granades_n of_o canvas_n for_o the_o mortar_n page_n 16_o how_o to_o make_v fiery_a arrow_n pag._n 20_o how_o the_o granad_n be_v to_o be_v charge_v into_o the_o mortar_n page_n 24_o than_o manner_n how_o to_o shoot_v the_o granad_n page_n 28_o a_o most_o violent_a method_n to_o set_v a_o town_n on_o fire_n page_n 33_o how_o to_o make_v granad_n to_o cast_v with_o man_n hand_n pag._n 39_o how_o to_o make_v fiery_a wheel_n to_o be_v cast_v with_o man_n hand_n pag_n 45_o how_o to_o make_v a_o ship_n of_o wild_a fire_n pag._n 48_o how_o to_o make_v a_o petard_n pag_n 55_o a_o treatise_n of_o artificial_a firework_n for_o pleasure_n page_n 61_o a_o method_n to_o make_v mould_n for_o rocket_n for_o the_o air_n page_n 64_o how_o to_o make_v fly_v rocket_n for_o the_o air_n page_n 69_o how_o to_o make_v mould_n for_o rocket_n for_o the_o ground_n pa._n 74_o how_o to_o make_v the_o composition_n for_o rocket_n upon_o the_o ground_n page_n 76_o the_o manner_n how_o to_o make_v serpent_n pa_n 78_o how_o to_o make_v golden_a rain_n pag._n 81_o how_o to_o make_v star_n pag._n 83_o how_o to_o make_v star_n give_v great_a report_n page_n 86_o the_o manner_n how_o to_o make_v saucisson_n page_n 88_o how_o to_o make_v stoupell_v or_o prepare_v of_o your_o cotton-wieke_a pag._n 91_o thu_n manner_n how_o to_o assemble_v and_o set_v together_o the_o part_n of_o a_o rocket_n pag_n 94_o how_o to_o represent_v diverse_a sort_n of_o figure_n in_o the_o air_n with_o rocket_n page_n 97_o how_o to_o make_v fiery_a box_n pa._n 101_o how_o to_o make_v fiery_a lance_n pag._n 103_o the_o manner_n how_o to_o make_v rocket_n for_o the_o water_n page_n 105_o how_o to_o make_v girondel_n or_o fiery_a wheel_n pag._n 110_o the_o manner_n how_o to_o make_v ballon_n pag._n 113_o how_o to_o make_v fly_v saucisson_n pa._n 120_o how_o to_o make_v short_a gun_n for_o the_o saucissons_fw-fr page_n 123_o the_o manner_n how_o to_o dispose_v and_o build_v a_o great_a or_o little_a fireworke_n pag._n 125_o a_o most_o precious_a unguent_n for_o any_o burn_a pag._n 131_o a_o treatise_n of_o practical_a geometry_n page_n 136_o the_o method_n how_o to_o make_v the_o crosse._n pag._n 139_o how_o to_o take_v a_o height_n accessible_a pag._n 141_o how_o to_o take_v a_o height_n inaccessible_a or_o one_o height_n upon_o another_o height_n pag._n 145_o how_o to_o take_v any_o distance_n upon_o a_o place_n accessible_a or_o inaccessible_a page_n 149_o another_o manner_n how_o to_o take_v a_o distance_n inaccessible_a pa._n 151_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 pag._n 165_o how_o to_o take_v the_o depth_n of_o a_o valley_n p._n 157_o the_o manner_n how_o to_o take_v either_o distance_n or_o altitude_n with_o the_o sector_n pag._n 161_o how_o to_o take_v any_o distance_n or_o altitude_n inaccessible_a with_o the_o sector_n pag._n 165_o definition_n of_o sines_n tangent_n and_o secant_v pag._n 168_o how_o to_o take_v any_o altitude_n or_o distance_n by_o the_o sin_n tangent_n &_o secant_v pag._n 171_o how_o to_o take_v any_o altitude_n or_o distance_n inaccessible_a by_o the_o sin_n pag._n 176_o the_o manner_n how_o to_o take_v the_o plane_n of_o a_o town_n or_o any_o place_n out_o of_o musket-shot_a page_n 180_o a_o treatise_n of_o fortification_n as_o well_o regular_o as_o irregular_o pag._n 184_o denomination_n of_o the_o party_n of_o fortification_n pag._n 186_o how_o to_o build_v a_o triangule_a fort._n p._n 189_o how_o to_o build_v a_o square_a fort._n pa_n 192_o how_o to_o build_v the_o pan●agone_fw-mi fort_n p._n 195_o how_o to_o build_v the_o fort_n hexagone_fw-mi p._n 198_o how_o to_o build_v the_o heptagone_n pa._n 201_o how_o to_o build_v the_o octogone_n p._n 204_o the_o description_n of_o the_o height_n de●th_n and_o thickness_n of_o every_o part_n of_o a_o complete_a fortication_n p._n 206_o the_o manner_n how_o to_o fortify_v place_n irregular_o p._n 209_o a_o fortification_n irregular_a p._n 210_o another_o manner_n of_o fortify_v irregular_o p._n 213_o a_o treatise_n of_o arithmetic_n addition_n p._n 216_o of_o substraction_n pag._n 219_o of_o multiplication_n p._n 222_o of_o division_n p._n 224_o how_o to_o reduce_v intier_n and_o fraction_n into_o fraction_n p._n 229_o to_o reduce_v all_o fraction_n into_o one_o denomination_n pag._n 230_o addition_n of_o intier_n and_o fraction_n p._n 234_o substraction_n of_o fraction_n p._n 235_o addition_n of_o fraction_n p._n 231_o subtraction_n of_o intier_n and_o fraction_n p._n 237_o multiplication_n of_o fraction_n p._n 239_o multiplication_n of_o entier_n and_o fraction_n p_o 241_o the_o division_n of_o fraction_n p._n 243_o to_o divide_v intier_n and_o fraction_n by_o in●iers_n and_o fraction_n p._n 44_o eualuation_n of_o fraction_n which_o may_v not_o be_v abridge_v p_o 245_o for_o the_o evaluation_n of_o measure_v land_n p_o 246_o of_o the_o rule_n of_o three_o without_o fraction_n p_o ●48_n the_o probation_n of_o this_o rule_n p._n 249_o of_o the_o rule_n of_o three_o with_o intier_n and_o fraction_n p._n 250_o the_o first_o example_n p._n 253_o the_o second_o example_n p._n 25●_n extraction_n of_o the_o square_a root_n p._n 255_o another_o example_n of_o the_o square_a root_n p._n 258_o military_a book_n print_v for_o t._n and_o i._n egerton_n military_a library_n whitehall_n 1._o muller_n work_n of_o fortification_n attack_z and_o defence_n engineer_a artillery_n etc._n etc._n 2._o simes_n military_a guide_n for_o young_a officer_n contain_v parade_n and_o field_n duty_n regulation_n order_n return_v warrant_n etc._n etc._n 8vo_fw-la 10_n 6d_o 3._o military_a course_n for_o the_o government_n and_o conduct_n of_o a_o battalion_n 20_o copper-plate_n colour_a 8vo_fw-la 10_n 6d_o 4._o treatise_n on_o the_o military_a science_n comprehend_v the_o grand_a operation_n of_o war_n and_o general_n rule_v for_o conduct_v a_o army_n in_o the_o field_n 4to_o 15_n 5._o regulator_n to_o form_v the_o officer_n and_o complete_a the_o soldier_n 8vo_fw-la 6_n 6._o instructor_n for_o non-commission_n officer_n and_o private_a man_n 12mo_fw-la 2s_n 6d_o 7._o rudiment_n of_o war_n comprise_v the_o principle_n of_o military_a duty_n 8vo_fw-la 6_n 8._o discipline_n for_o the_o norfolk_n militia_n by_o lord_n townshend_n etc._n etc._n 52_o copper-plate_n 4to_o 12_n 9_o regimental_n book_n for_o the_o use_v of_o the_o major_a or_o adjutant_n beautiful_o engrave_v with_o proper_a head_n folio_n 10._o return_v for_o horse_n dragoon_n and_o foot_n mus●er-rolls_n attestation_n furlough_n discharge_v etc._n etc._n 11._o miller_n be_v capt._n be_v of_o self-defence_n on_o copper-plate_n folio_n 10s_fw-la 6d_o 12._o order_n relative_a to_o the_o sale_n of_o commission_n on_o full_a and_o half-pay_a 13._o new_a exercise_n by_o his_o majesty_n order_n 1_n 14._o recruiting_n book_n for_o the_o army_n 2s_n 6d_o 15._o new_a art_n of_o war_n by_o captain_n anderson_n 8vo_fw-la 7_n 6d_o 16._o jones_n artificial_a firework_n 17._o drummer_n instructor_n with_o english_a and_o scotch_a duty_n with_o beat_n marching_n call_n etc._n etc._n 18._o cadet_n a_o military_a treatise_n 8vo_fw-la 5s_n 19_o phipps_n military_a discipline_n with_o copper-pl_a 12mo_fw-la 4_n 20._o general_n essay_n on_o tactic_n 2_o vol._n 8vo_fw-la with_o 28_o copper-plate_n translate_v from_o the_o admire_a essai_n générale_fw-mi de_fw-mi tactique_n de_fw-fr guibert_n 2_o vol_n bind_v 14_n 21._o lochee_n military_a mathematics_n 2_o vol_n 8vo_fw-la many_o copper-plate_n 12_n 22._o lochee_n element_n of_o fortification_n many_o copper-plate_n 8vo_fw-la 6_n 23._o on_o military_a education_n 8vo_fw-la 2s_n 6d_o 24._o essay_n on_o castrametration_n or_o instruction_n for_o form_v camp_n with_o copper-plate_n 8vo_fw-la 4_n 25._o soldern_n gen._n tactic_n translate_v by_o landmann_n 7_n 6d_o 26._o lochee_n field_n fortification_n with_o copper-plate_n 8vo_fw-la 5s_n 27._o obrien_n naval_a evolution_n with_o copper-plate_n 4to_o 10_n 6d_o 28._o military_a instruction_n for_o officer_n detach_v in_o the_o field_n copper-plate_n 12mo_fw-la 4_n 6d_o 29._o king_n of_o prussia_n military_a instruction_n to_o his_o general_n cuts_z 8vo_fw-la 5s_n 30._o campaign_n 12mo_fw-la 3_n 31._o dalrymple_n military_a essay_n cut_n 8vo_fw-la 5s_n 32._o bell_n essay_n on_o military_n first_o principle_n 8vo_fw-la 5s_n 33._o donkin_n military_a collection_n and_o remark_n 8vo_fw-la 4_n 34._o cambridge_n account_n of_o the_o war_n in_o india_n many_o large_a plate_n 8vo_fw-la 6_n 35._o general_n review_n manoevures_n and_o exercise_n cut_v colour_v 8vo_fw-la 3_n 6d_o 36._o wolf_n instruction_n to_o young_a officer_n 12mo_fw-la 2s_n 6d_o 37._o elementary_a principle_n of_o tactics_n many_o copper-plate_n 8vo_fw-la 6_n 38._o antoni_fw-la on_o gunpowder_n fire-arm_n and_o the_o service_n of_o artillery_n by_o captain_n thompson_n 10_n 6d_o 39_o element_n of_o military_a arrangement_n 2_o vol._n new_a edit_n 7_n 40._o lloyd_n general_n history_n of_o the_o war_n in_o germany_n vol._n 2._o 1l_o 1_n 41._o political_n and_o military_a rhapsody_n 42._o treatise_n on_o military_a finance_n 2s_n 6d_o 43._o complete_a collection_n of_o marine_a treaty_n subsist_v between_o great-britain_n and_o the_o different_a power_n of_o europe_n etc._n etc._n from_o 1546_o to_o 1763_o inclusive_a 8vo_fw-la 6_n 44._o tandon_n french_a grammar_n to_o learn_v without_o a_o master_n 8vo_fw-la 2s_n 45._o beckford_n descriptive_a account_n of_o the_o island_n of_o jamaica_n 2_o vol_n 12_n 46._o theatrical_a remembrancer_n board_n 4_n 47._o ireland_n picturesque_fw-la scenery_n of_o the_o river_n thames_n 2_o vol._n 2l_o 12_n 6d_o 48._o picturesque_fw-la scenery_n of_o the_o medway_n 1l_o 11_n 6d_o 49._o english_a anthology_n 6_n 50._o piece_n of_o ancient_a popular_a poetry_n 4_n