Selected quad for the lemma: rest_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
rest_n	bullet_n	great_a	powder_n	3,710	5	11.9725	5	true

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A08351	Of the art of great artillery, viz. The explanation of the most excellent and necessary definitions, and questions, pronounced and propounded, by that rare souldier and mathematician, Thomas Digges Esquire and by him published, in his Stratiaticos, and Pantometria, concerning great ordinance, and his theorems thereupon. Together, vvith certaine expositions, and answers thereunto adioyned: written by Robert Norton gunner. And by him dedicated, to the worshipfull Iohn Reinolds Esquire, master gunner of England.	Norton, Robert, d. 1635.	1624 (1624)	STC 18676; ESTC S119503	26,924	57

the_o boar_n or_o â…“_n of_o the_o weight_n of_o her_o shott_n in_o corn_n powder_n for_o cannon_n or_o â…”_n of_o the_o diametres_fw-fr or_o â…˜_n of_o the_o weight_n of_o the_o iron_n shoot_v of_o corn_v artillery_n powder_n for_o the_o culvering_n and_o four_o dyametres_fw-fr or_o the_o whole_a weight_n of_o the_o shott_n of_o such_o powder_n for_o saker_n falcon_n and_o lesser_a ordinance_n be_v usual_o account_v as_o their_o due_a proportional_a charge_n which_o charge_n if_o it_o can_v be_v ready_o find_v will_v be_v just_a so_o much_o powder_n as_o be_v all_o fire_v within_o the_o cylinder_n will_v at_o that_o instant_n have_v carry_v the_o shot_n just_a to_o the_o mouth_n of_o the_o piece_n 2._o m._n d._n whether_o one_o and_o the_o selfsame_o piece_n twice_o charge_v with_o one_o and_o the_o selfsame_o quantity_n of_o powder_n and_o bullet_n discharge_v also_o at_o the_o same_o random_n shall_v make_v the_o same_o range_v m._n n._n no_o for_o at_o the_o second_o time_n it_o will_v shoot_v further_o than_o at_o the_o first_o as_o well_o because_o the_o air_n that_o before_o be_v still_o quiet_a and_o unbroken_a will_v be_v then_o move_v that_o way_n the_o shot_n go_v and_o by_o the_o course_n of_o the_o shot_n become_v break_v and_o also_o for_o that_o the_o charge_v cylinder_n will_n then_o be_v dry_a and_o warm_a than_o at_o the_o first_o and_o cause_v the_o powder_n to_o fire_v quick_a and_o better_a together_o which_o will_v add_v more_o force_n thereunto_o 3._o m._n d._n if_o a_o piece_n be_v discharge_v with_o the_o weight_n of_o his_o bullet_n in_o serpentine_a powder_n and_o afterward_o discharge_v with_o half_a the_o weight_n of_o his_o bullet_n in_o such_o corn_n powder_n as_o shall_v cause_v the_o piece_n to_o cast_v the_o same_o ground_n no._n no._n i_o demand_v if_o the_o same_o piece_n be_v again_o charge_v with_o half_a the_o quantity_n of_o either_o sort_n whether_o these_o range_v shall_v also_o be_v equal_a the_o form_n of_o charge_v be_v uniform_a and_o temper_n of_o the_o piece_n alike_o m._n n._n no_o for_o the_o last_o half_n will_v one_o of_o they_o be_v then_o more_o far_o off_o from_o due_a proportional_a charge_n of_o the_o say_a piece_n than_o the_o other_o be_v from_o his_o mate_n at_o the_o first_o and_o therefore_o it_o be_v certain_a that_o the_o last_o half_a of_o the_o corn_n powder_n will_v shoot_v much_o further_a than_o the_o half_a of_o the_o sorpentine_a powder_n can_v do_v because_o there_o be_v more_o petre_n in_o the_o quantity_n of_o the_o last_o half_n then_o in_o so_o much_o of_o the_o first_o half_n of_o the_o corn_n powder_n and_o less_o in_o the_o other_o 4._o m._n d._n if_o two_o piece_n of_o the_o same_o length_n and_o bullet_n be_v charge_v with_o one_o kind_n of_o powder_n but_o several_a weight_n i_o demand_v whether_o the_o range_v shall_v be_v proportional_a to_o the_o say_a weight_n no._n no._n or_o to_o the_o square_n cube_n or_o square_a square_a root_n of_o the_o say_a weight_n or_o whether_o the_o proportion_n of_o the_o range_v be_v not_o to_o be_v find_v without_o any_o further_a respect_n either_o to_o the_o length_n of_o the_o piece_n or_o ponderosity_n of_o the_o bullet_n consider_v by_o hypothesis_n all_o those_o be_v equal_a m.n._n their_o range_v will_n not_o be_v proportional_a to_o those_o root_n beside_o whether_o they_o shall_v be_v alike_o or_o different_o mount_v be_v not_o here_o express_v neither_o the_o different_a weight_n of_o the_o powder_n therefore_o without_o they_o those_z nor_o any_o other_o proportion_n certain_a can_v hold_v yet_o they_o may_v he_o find_v in_o a_o compound_v proportion_n have_v respect_n unto_o the_o proportion_n between_o the_o force_n of_o the_o powder_n weight_n of_o the_o shott_n and_o length_n of_o the_o piece_n 5._o m._n d._n whether_o the_o proportion_n find_v in_o one_o kind_n of_o powder_n no._n no._n hold_v not_o in_o all_o other_o kind_n of_o what_o mixture_n soever_o it_o be_v the_o piece_n and_o bullet_n be_v as_o be_v before_o suppose_v equal_a m.n._n no_o for_o the_o proportion_n of_o all_o different_a kind_n of_o powder_n equal_a in_o weight_n or_o measure_n do_v differ_v in_o force_n according_o more_a or_o less_o as_o there_o be_v more_o or_o less_o petre_n and_o work_v therein_o nevertheless_o the_o equality_n of_o the_o rest_n for_o that_o a_o lesser_a weight_n or_o measure_n of_o strong_a powder_n will_v equal_v the_o proportional_a force_n of_o a_o great_a weight_n or_o measure_n of_o weak_a powder_n and_o these_o be_v for_o action_n in_o geometrical_a proportion_n augment_v but_o for_o resistance_n they_o be_v augment_v in_o arithmetical_a proportion_n as_o a_o excellent_a philosopher_n elsewhere_o do_v large_o demonstrate_v 6._o m._n d._n whether_o the_o proportion_n of_o such_o range_v extant_a he_o refer_v this_o to_o a_o book_n never_o yet_o extant_a be_v not_o a_o mean_a proportional_a result_v of_o the_o commixion_n of_o the_o equality_n of_o the_o piece_n length_n and_o bullet_n and_o the_o inequality_n of_o the_o powder_n quantity_n the_o quality_n be_v suppose_v alike_o m.n._n i_o say_v it_o come_v so_o near_o to_o such_o a_o mean_a proportionallity_n as_o that_o in_o practice_v it_o may_v be_v accept_v for_o the_o same_o indeed_o but_o it_o not_o be_v exact_o so_o and_o also_o not_o be_v easy_o find_v by_o reason_n it_o lurk_v under_o so_o many_o compound_a variety_n and_o contrariety_n we_o must_v content_v ourselves_o with_o such_o a_o necessary_a nearness_n as_o in_o my_o exposition_n of_o m._n digges_n his_o definition_n be_v exemplify_v or_o to_o be_v show_v elsewhere_o more_o large_o of_o the_o length_n of_o the_o piece_n and_o powder_n 7._o mr._n digges_n whether_o two_o piece_n be_v in_o all_o respect_v equal_a save_v only_o in_o length_n be_v charge_v with_o one_o bullet_n yes_o yes_o and_o one_o quantity_n of_o powder_n shall_v not_o make_v equal_a graze_n m.n._n no_o for_o both_o by_o master_n digges_n his_o answer_n and_o i_o to_o the_o first_o question_n there_o be_v a_o charge_n certain_a which_o be_v that_o two_o piece_n of_o several_a length_n and_o otherwise_o equal_a can_v with_o one_o quantity_n of_o like_a powder_n have_v both_o of_o they_o such_o a_o charge_n as_o can_v possible_o be_v equal_o or_o proportional_o near_o to_o their_o charge_n certain_a and_o therefore_o their_o several_a graze_n must_v needs_o be_v also_o different_a 8._o m._n d._n always_o not_o always_o whether_o the_o long_a cannon_n shall_v make_v the_o great_a range_v whatsoever_o quantity_n or_o kind_n of_o powder_n they_o be_v discharge_v withal_o the_o quantity_n of_o powder_n be_v equal_a m._n n._n i_o imagine_v that_o master_n digges_n mean_v the_o quality_n or_o kind_a of_o powder_n which_o may_v cause_v proportional_a difference_n according_a to_o their_o several_a force_n otherwise_o i_o may_v answer_v yes_o unless_o the_o long_a piece_n charge_v be_v as_o much_o over_o as_o the_o short_a be_v under_o the_o charge_n due_o certain_a 9_o m.d._n powder_n yes_o but_o not_o without_o respect_n of_o the_o powder_n whether_o there_o be_v not_o a_o certain_a convenient_a length_n of_o the_o piece_n in_o respect_n of_o his_o boar_n or_o bullet_n to_o make_v the_o utmost_a range_v in_o such_o sort_n that_o make_v the_o cannon_n long_o shall_v rather_o hinder_v then_o further_o m._n n._n sure_o master_n digges_n mean_v herein_o as_o in_o the_o last_o the_o length_n of_o the_o cylinder_n or_o chace_n by_o name_n of_o make_v the_o cannon_n long_o &_o then_o the_o question_n be_v by_o he_o true_o answer_v yes_o if_o the_o proportional_a force_n and_o quantity_n of_o the_o powder_n be_v therein_o also_o consider_v and_o except_v as_o i_o have_v under_o his_o former_a definition_n exemplify_v 10._o m.d._n whether_o this_o length_n and_o proportion_n be_v find_v in_o one_o piece_n no._n no._n hold_v in_o all_o other_o the_o proportion_n i_o mean_v for_o the_o length_n must_v of_o necessity_n alter_v m._n n._n one_o proportion_n can_v hold_v for_o cannon_n and_o minion_n of_o not_o above_o 24._o dyametres_fw-fr and_o also_o for_o culvering_n and_o saker_n not_o less_o than_o 30._o dyametres_fw-fr of_o their_o boar_n in_o length_n and_o the_o great_a weight_n of_o the_o great_a shott_n resist_v the_o powder_n force_v so_o much_o the_o more_o by_o how_o much_o the_o more_o the_o piece_n be_v mount_v and_o do_v likewise_o in_o his_o course_n more_o by_o the_o great_a gravity_n thereof_o affect_v to_o descend_v out_o of_o the_o straight_a line_n of_o her_o course_n than_o the_o light_a do_v though_o both_o begin_n with_o equal_a swiftness_n each_o of_o these_o and_o all_o or_o some_o of_o they_o together_o do_v hinder_v general_a proportion_n beside_o the_o less_o proportion_n of_o fortefy_v of_o the_o cannon_n which_o mettle_n then_o of_o the_o culverin_n

curve_v or_o circular_a the_o 14._o theorem_a when_o any_o piece_n be_v mount_v direct_o to_o the_o zenith_n then_o do_v his_o motion_n violent_a be_v in_o that_o situation_n direct_o opposite_a to_o the_o natural_a carry_v the_o bullet_n in_o a_o perfect_a right_a line_n direct_o upward_a till_o the_o force_n of_o the_o violence_n be_v spend_v and_o the_o natural_a motion_n have_v get_v the_o victory_n and_o then_o do_v the_o natural_a return_n the_o bullet_n downward_o again_o by_o the_o very_a same_o perpendicular_a line_n and_o so_o be_v the_o whole_a motion_n of_o the_o bullet_n in_o this_o case_n a_o very_o direct_v perpendicular_a to_o the_o horizon_n the_o 15._o theorem_a but_o if_o any_o piece_n be_v discharge_v upon_o any_o angle_n of_o randon_n albeit_o the_o violent_a motion_n contend_v to_o carry_v the_o bullet_n direct_o by_o the_o line_n diagonall_a yet_o the_o perpendicular_a motion_n be_v not_o direct_o opposite_a do_v though_o unsensible_o even_o from_o the_o begin_n by_o little_a and_o little_o draw_v it_o from_o that_o direct_a and_o diagonall_a course_n and_o as_o the_o violent_a do_v decay_v so_o do_v the_o natural_a increase_n and_o of_o these_o two_o right_n line_v motion_n be_v make_v that_o mix_v curve_v helicall_a circuit_n of_o the_o bullet_n the_o 16._o theorem_a any_o piece_n therefore_o discharge_v at_o any_o mount_n or_o randon_n first_o throw_v forth_o her_o bullet_n direct_o a_o certain_a distance_n call_v of_o gunner_n their_o pointblank_a range_v and_o then_o it_o make_v a_o curve_v decline_v ark_n and_o after_o finish_v either_o in_o a_o direct_a line_n or_o nigh_o incline_v towards_o it_o the_o 17._o theorem_a the_o further_a that_o any_o piece_n shoot_v in_o her_o direct_a line_n common_o call_v pointblank_a the_o deep_a also_o she_o pierce_v in_o her_o battery_n if_o the_o bullet_n be_v not_o of_o substance_n brickle_z or_o frangeable_a the_o 18._o theorem_a the_o more_o ponderous_a a_o bullet_n be_v the_o more_o it_o shake_v in_o battery_n albeit_o it_o pierce_v not_o always_o so_o deep_a as_o the_o light_a or_o letter_n shoot_v convenient_o charge_v the_o 19_o theorem_a any_o two_o piece_n of_o battery_n ordinance_n charge_v with_o one_o kind_n of_o bullet_n and_o shoot_v into_o one_o rampire_n of_o massy_a uniform_a kind_n of_o substance_n shall_v ever_o make_v their_o profundity_n of_o pierce_a proportional_a to_o their_o level_n range_v horizontall_a if_o they_o be_v discharge_v either_o level_n or_o at_o one_o grave_n of_o randon_n and_o at_o like_a distance_n the_o 20._o theorem_a any_o two_o piece_n of_o battery_n discharge_v into_o any_o rampire_n of_o uniform_a massy_a substance_n shall_v ever_o make_v their_o pierce_v depth_n proportional_a to_o their_o line_n diagonall_a albeit_o these_o piece_n be_v discharge_v from_o different_a randons_n so_o as_o they_o batter_v at_o like_a distance_n the_o 21._o theorem_a as_o archimedes_n line_n helicall_a or_o spirall_n be_v make_v by_o the_o direct_a motion_n of_o a_o point_n carry_v in_o a_o right_a line_n while_o that_o right_a line_n be_v circular_o turn_v as_o semidiameter_n upon_o his_o circle_n centre_n so_o be_v this_o artillery_n helicall_a line_n of_o the_o bullet_n circuit_n create_v only_o by_o two_o right_a line_v motion_n become_v more_o or_o less_o curve_v according_a to_o the_o difference_n of_o their_o angle_n occasion_v by_o the_o several_a angle_n of_o randon_n whereupon_o by_o demonstration_n geometrical_a a_o theoric_n may_v be_v frame_v that_o shall_v deliver_v a_o true_a and_o perfect_a description_n of_o those_o helicall_a line_n at_o all_o angles_n make_v between_o the_o horizon_n and_o the_o piece_n line_n diagonall_a the_o 22._o theorem_a these_o direct_a or_o diagonall_a line_n be_v always_o long_a when_o the_o piece_n axis_n be_v direct_v to_o the_o zenith_n and_o always_o as_o the_o piece_n axis_n decline_v more_o and_o more_o to_o the_o horizon_n so_o do_v the_o diagonall_a line_n grow_v short_a and_o at_o the_o level_a horizontall_a short_a of_o all_o the_o 23._o theorem_a these_o direct_a line_n diagonall_a albeit_o they_o increase_v in_o length_n at_o every_o grave_n of_o random_n from_o the_o horizon_n to_o the_o zenith_n yet_o be_v not_o their_o increase_n uniform_a or_o proportional_a either_o to_o their_o degree_n of_o randon_n or_o horizontall_n range_v nor_o yet_o to_o their_o circuit_n or_o altitude_n and_o yet_o such_o as_o may_v be_v reduce_v to_o a_o theorike_n certain_a the_o 24._o theorem_a the_o middle_n curve_v arke_n of_o the_o bullet_n circuit_n compound_v of_o the_o violent_a and_o natural_a motion_n of_o the_o bullet_n albeit_o they_o be_v indeed_o mere_a helicall_a yet_o have_v they_o a_o very_a great_a resemblance_n of_o the_o ark_n conicall_a and_o in_o randons_n above_o 45._o they_o do_v much_o resemble_v the_o hyperbole_n and_o in_o all_o under_o the_o ellepsis_n but_o exact_o they_o never_o accord_v be_v indeed_o spirall_n mix_v and_o helicall_a the_o 25._o theorem_a any_o piece_n discharge_v at_o any_o one_o random_n with_o like_a bullet_n and_o several_a charge_n of_o powder_n shall_v make_v both_o their_o line_n diagonall_a and_o curve_v circuit_n of_o different_a longitude_n but_o the_o curve_v arke_n shall_v always_o be_v as_o parallel_n and_o their_o longitude_n proportional_a to_o their_o line_n diagonall_a the_o 26._o theorem_a the_o last_o decline_a line_n of_o the_o bullet_n circuit_n albeit_o it_o seem_v to_o approach_v somewhat_o to_o the_o nature_n of_o a_o direct_a line_n again_o yet_o be_v it_o indeed_o still_o helicall_a and_o mix_v so_o long_o as_o there_o remain_v any_o part_n of_o the_o motion_n violent_a but_o after_o that_o be_v clean_o spend_v the_o rest_n of_o his_o course_n to_o the_o horizon_n be_v direct_a and_o perpendicular_a and_o a_o perfect_a right_a line_n indeed_o which_o be_v best_a discern_v in_o those_o grade_n of_o randon_n which_o be_v between_o the_o zenith_n and_o the_o mount_n or_o randon_n aequorizontall_a the_o 27._o theorem_a this_o decline_a line_n do_v always_o make_v a_o great_a and_o great_a angle_n with_o the_o horizon_n as_o you_o raise_v the_o piece_n to_o a_o great_a mount_n till_o you_o come_v to_o the_o mount_n equorizantall_n about_o which_o point_n the_o same_o decline_a line_n become_v perpendicular_a before_o the_o bullet_n fall_v to_o the_o horizon_n the_o 28._o theorem_a the_o horizontall_a range_v in_o all_o piece_n mount_v from_o the_o horizon_n towards_o the_o zenith_n do_v not_o still_o increase_v but_o at_o every_o grave_n of_o randon_n be_v long_o till_o you_o come_v to_o the_o point_n or_o mount_v tropical_a common_o call_v the_o utmost_a random_n which_o have_v be_v general_o think_v to_o be_v the_o grave_n 45._o but_o be_v not_o so_o and_o from_o that_o tropical_a grave_n upward_o the_o range_v decrease_v again_o till_o you_o come_v to_o the_o grave_n aequorizontall_a so_o call_v because_o the_o bullet_n than_o fall_v a_o like_a distance_n to_o the_o level_n range_v the_o 29._o theorem_a this_o aequorizontall_a grade_n be_v as_o far_o distant_a from_o the_o zenith_n as_o that_o grade_n be_v from_o the_o horizon_n which_o shall_v cause_v the_o piece_n to_o shoot_v in_o the_o horizontall_a plain_a a_o distance_n equal_a to_o his_o high_a altitude_n or_o long_a line_n diagonall_a the_o 30._o theorem_a the_o mount_v of_o any_o piece_n above_o his_o aequorizontall_a grave_n do_v still_o decrease_v her_o horizontall_a range_v even_o till_o it_o come_v to_o the_o zenith_n but_o in_o a_o proportion_n different_a from_o any_o of_o the_o former_a her_o bullet_n end_v every_o of_o those_o circuit_n in_o a_o direct_a line_n perpendicular_a the_o 31._o theorem_a the_o gradual_a increase_n and_o decrease_v of_o these_o range_v horizontall_a albeit_o they_o be_v equal_a in_o the_o quadrant_n yet_o be_v they_o neither_o equal_a nor_o proportional_a in_o the_o horizon_n neither_o the_o range_v nor_o their_o interuall_n neither_o compare_v between_o themselves_o nor_o yet_o confer_v with_o the_o chord_n or_o sin_n of_o their_o arks._n and_o yet_o be_v there_o such_o a_o kind_n of_o proportional_a increase_n and_o decrease_v of_o the_o proportion_n of_o their_o interuall_n as_o may_v be_v reduce_v to_o a_o theorike_n certain_a the_o 32._o theorem_a the_o tropical_a grave_n common_o call_v the_o utmost_a random_n be_v not_o as_o have_v be_v general_o suppose_v the_o medium_fw-la or_o middle_a between_o the_o horizon_n and_o the_o zenith_n viz._n 45._o but_o rather_o between_o the_o horizon_n and_o the_o grave_n aequorizontall_a which_o will_v fall_v out_o much_o nigh_a 50._o from_o the_o zenith_n and_o 40._o from_o the_o horizon_n the_o 33._o theorem_a the_o high_a altitude_n of_o any_o bullet_n circuit_n be_v far_a distant_a from_o the_o piece_n when_o she_o be_v discharge_v at_o her_o utmost_a random_n or_o point_n tropical_a and_o at_o all_o other_o randons_n either_o above_n or_o beneath_o that_o tropical_a point_n that_o high_a altitude_n

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