Selected quad for the lemma: book_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
book_n	copper_n	find_v	great_a	13	3	2.1295	3	false

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A59151	The sea-gunner shewing the practical part of gunnery as it is used at sea : and, as an introduction thereto, there is exhibited two compendiums, one of vulgar, the other of decimal arithmetick, with necessary tables relating to that art : to which is added an appendix, shewing the use of a proportional scale gunnery, and the use off the sea-gunners rule ... / composed by John Seller, Senior.	Seller, John, fl. 1658-1698.	1691 (1691)	Wing S2487; ESTC R16510	62,819	273

bullet_n prob._n 12._o the_o diameter_n and_o weight_n of_o any_o one_o cylinder_n for_o piece_n of_o great_a ordnance_n take_v at_o the_o base_a ring_n be_v know_v to_o find_v the_o weight_n of_o any_o other_o piece_n of_o the_o same_o metal_n and_o shape_n either_o great_a or_o lesser_a its_o diameter_n be_v only_o know_v as_o for_o example_n if_o a_o brass_n saker_n who_o diameter_n be_v 11,5_o inch_n what_o will_v another_o piece_n weigh_v who_o diameter_n be_v 8,75_o inch_n by_o arithmetic_n the_o analogy_n as_o 11,5_o be_v to_o 1900_o ∷_o so_o be_v 8,75_o to_o almost_o 8,37_o by_o the_o logarithm_n as_o the_o log._n great_a diana_n 11,5_o 306069_o the_o log._n of_o the_o least_o 8,75_o 294200_o difference_n increase_v  _fw-fr 11869_o multiply_v by_o  _fw-fr 3_o produce_v this_o difference_n  _fw-fr 35607_o which_o be_v subtract_v from_o the_o logarithm_n of_o the_o weight_n give_v 1900_o  _fw-fr 327853_o there_o remain_v the_o log._n 837_o  _fw-fr 2,92245_o by_o gunter_n be_v scale_n extend_v the_o compass_n from_o 11,5_o to_o 8,75_o the_o same_o distance_n will_v reach_v from_o the_o weight_n give_v 1900_o pound_n be_v thrice_o repeat_v to_o 837_o pound_n if_o a_o piece_n of_o ordnance_n of_o 4_o inch_n diameter_n weigh_v 1600_o pound_n what_o will_v another_o piece_n weigh_v be_v of_o the_o same_o shape_n and_o metal_n of_o 2_o inch_n diameter_n answer_v 200_o pound_n prob._n 13._o have_v the_o diameter_n and_o weight_n of_o any_o piece_n of_o great_a ordnance_n of_o one_o metal_n to_o find_v the_o weight_n of_o another_o piece_n of_o ordnance_n of_o another_o metal_n that_o be_v of_o the_o same_o shape_n in_o this_o problem_n there_o will_v be_v require_v a_o double_a operation_n to_o find_v out_o its_o weight_n example_n let_v there_o be_v a_o brass_n piece_n of_o ordnance_n of_o 11,5_o inch_n diameter_n at_o the_o base_a ring_n weigh_v 1900_o pound_n as_o before_o and_o let_v the_o question_n be_v to_o find_v the_o weight_n of_o a_o iron_n piece_n of_o ordnance_n of_o the_o same_o shape_n viz._n 8,75_o inch_n diameter_n in_o this_o and_o the_o like_a case_n you_o must_v in_o the_o first_o place_n find_v the_o weight_n of_o the_o piece_n 8,75_o inch_n diameter_n as_o in_o the_o last_o theorem_fw-la as_o if_o it_o be_v a_o brass_n piece_n and_o have_v find_v the_o weight_n to_o be_v 837_o pound_n you_o must_v next_o seek_v the_o proportional_a number_n as_o in_o page_n 116_o at_o the_o latter_a end_n of_o the_o nine_o problem_n who_o proportion_n be_v there_o find_v to_o be_v as_o 16_o to_o 18_o which_o be_v the_o proportion_n between_o brass_n and_o iron_n brass_n be_v the_o heavy_a metal_n therefore_o have_v find_v the_o weight_n the_o analogy_n be_v as_o 18_o be_v to_o 16_o so_o be_v 837_o to_o 744._o by_o the_o logarithm_n log._n of_o 18_o  _fw-fr 1,25527_o log._n of_o 16_o  _fw-fr 1,20412_o  _fw-fr  _fw-fr ,92272_o  _fw-fr sum_n ,12684_o log._n find_v 744_o ,87157_o by_o gunter_n scale_n extend_v the_o compass_n from_o 18_o to_o 16_o the_o same_o extent_n the_o same_o way_n shall_v reach_v from_o 837_o to_o 744._o prob._n 14._o to_o find_v the_o superficial_a content_n of_o the_o convex_a face_n of_o any_o piece_n of_o ordnance_n and_o also_o of_o the_o solid_a content_n of_o the_o concavity_n thereof_o suppose_v the_o circumference_n of_o the_o concavity_n be_v 22_o inch_n and_o the_o length_n of_o it_o 12_o foot_n or_o 144_o inch_n the_o question_n be_v what_o be_v the_o superficial_a content_n of_o the_o convex_a face_n or_o what_o the_o solid_a content_n of_o the_o concave_a boar_n for_o the_o superficies_n the_o analogy_n be_v as_o 1_o ∶_o 22_o ∷_o 144_o ∶_o 3168_o square_a inch_n by_o the_o logarithm_n logarithm_n 22_o ,34242_o logarithm_n 144_o ,15836_o logar_n find_v 3168_o ,50078_o by_o gunter_n be_v scale_n extend_v the_o compass_n from_o 1_o to_o 22_o on_o the_o line_n of_o number_n the_o same_o extent_n the_o same_o way_n shall_v reach_v from_o 144_o to_o 3168_o the_o square_a inch_n require_v to_o find_v the_o solid_a content_a first_o get_v the_o semidiameter_n which_o in_o this_o example_n be_v 3_o 5_o inch_n and_o also_o the_o semicumference_n which_o here_o be_v 11_o these_o be_v have_v the_o analogy_n be_v thus_o as_o 1_o be_v to_o 3.5_o ∷_o 11_o ∶_o 38,5_o so_o many_o square_a inch_n be_v contain_v in_o the_o base_a or_o plain_a of_o the_o concavity_n of_o the_o mouth_n by_o the_o logarithm_n logarithm_n 35_o 54407_o logarithm_n 11_o 04139_o logarithm_n 38,5_o 58546_o by_o gunter_n be_v scale_n extend_v the_o compass_n from_o 1_o to_o 3_o 5_o the_o diameter_n of_o the_o concave_n assume_v the_o same_o extent_n will_v reach_v the_o same_o way_n from_o 11_o to_o 38,5_o the_o base_a of_o the_o cylinder_n require_v the_o base_a of_o the_o cylinder_n be_v thus_o find_v to_o find_v the_o solidity_n of_o the_o cylinder_n the_o analogy_n as_o 1_o be_v to_o 38,5_o the_o area_n of_o the_o base_a of_o the_o cylinder_n so_o be_v the_o length_n of_o the_o cylinder_n 144_o inch_n to_o 5544_o cubical_a inch_n by_o the_o logarithm_n logarithm_n 385_o ,58546_o logarithm_n 144_o ,15836_o logarithm_n 5544_o ,74382_o by_o gunter_n be_v scale_n extend_v the_o compass_n on_o the_o line_n of_o number_n from_o 1_o to_o 38,5_o the_o same_o extent_n the_o same_o way_n shall_v reach_v from_o 144_o to_o 5544._o prob._n 15._o to_o know_v how_o much_o of_o every_o kind_n of_o metal_n be_v contain_v in_o any_o brass_n piece_n of_o ordnance_n if_o the_o proportion_n of_o metal_n use_v by_o gun-founder_n be_v suppose_v to_o be_v thus_o that_o for_o every_o 100_o pound_n of_o copper_n to_o put_v in_o 10_o pound_n of_o brass_n and_o 8_o pound_n of_o pure_a tin_n now_o suppose_v this_o mixture_n to_o be_v true_a let_v it_o be_v require_v how_o much_o of_o every_o sort_n of_o these_o metal_n be_v in_o a_o gun_n of_o 5600_o pound_v weight_n for_o answer_v to_o this_o and_o the_o like_a question_n first_o join_v all_o the_o several_a mixture_n together_o that_o 100_o 10_o and_z 8_o and_o this_o must_v be_v the_o first_o number_n in_o the_o rule_n of_o proportion_n the_o weight_n of_o the_o piece_n the_o second_o number_n which_o here_o be_v 5600_o and_o the_o three_o number_n be_v each_o several_a sort_n of_o metal_n in_o the_o mixture_n which_o be_v here_o 100_o 10_o and_o 8._o the_o operation_n the_o sum_n of_o the_o common_a mixture_n be_v 118._o and_o then_o the_o analogy_n be_v thus_o as_o 118_o be_v to_o 5600_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr 100_o copper_n  _fw-fr  _fw-fr  _fw-fr  _fw-fr 10_o latin_a  _fw-fr  _fw-fr  _fw-fr  _fw-fr 8_o tin_n so_o be_v 100_o 4745,7_o copper_n  _fw-fr so_n be_v 10_o 474,6_o brass_n  _fw-fr so_n be_v 8_o 379,7_o tin_n 118_o analogy_n for_o the_o copper_n be_v as_o 118_o to_o 5600_o so_o be_v 100_o to_o 4745,7_o copper_n analogy_n for_o brass_n as_o 118_o to_o 5600_o so_o be_v 10_o to_o 474,6_o fere_n brass_n analogy_n for_o tin_n as_o 118_o to_o 5600_o so_o be_v 8_o to_o 379_o 7_o fere_n tin_n which_o three_o sum_n thus_o find_v 4745,7_o 474,6_o 379,7_o 56000_o be_v add_v together_o they_o make_v the_o just_a weight_n of_o the_o piece_n propound_v by_o the_o logarithm_n the_o proportion_n be_v thus_o wrought_v for_o the_o copper_n logarithm_n 118_o 071882_o logarithm_n 5600_o 748188_o logarithm_n 100_o 000000_o  _fw-fr  _fw-fr 748188_o log._n find_v 474,57_o 676306_o here_o you_o be_v refer_v to_o a_o large_a table_n of_o logarithm_n than_o be_v in_o this_o book_n for_o this_o operation_n and_o the_o next_o follow_v for_o brass_n logarithm_n 118_o 071882_o logarithm_n 5600_o 748188_o logarithm_n 10_o 000000_o  _fw-fr  _fw-fr 748188_o logarithm_n find_v 474,57_o 676306_o for_o tin_n logarithm_n 118_o 071882_o logarithm_n 5600_o 748188_o logarithm_n 8_o 903090_o  _fw-fr  _fw-fr 651278_o logarithm_n 379,7_o 579396_o by_o gunter_n be_v scale_n for_o the_o first_o operation_n for_o copper_n extend_v the_o compass_n from_o 118_o upon_o the_o line_n of_o number_n to_o 5600_o the_o same_o extent_n the_o same_o way_n shall_v reach_v from_o 100_o to_o 4745,7_o for_o brass_n extend_v the_o compass_n from_o 118_o to_o 5600_o the_o same_o extent_n shall_v reach_v from_o 10_o to_o 4746_o be_v one_o place_n less_o than_o the_o former_a for_o tin_n extend_v the_o compass_n from_o 118_o to_o 5600_o the_o same_o extent_n the_o same_o way_n shall_v reach_v from_o 8_o to_o 379,7_o prob._n 16._o by_o know_v what_o quantity_n of_o powder_n will_v load_v some_o one_o piece_n of_o ordnance_n to_o find_v how_o much_o of_o the_o same_o powder_n will_v load_v any_o other_o piece_n of_o ordnance_n great_a or_o lesser_a example_n if_o a_o saker_n of_o 3,75_o inch_n diameter_n in_o the_o boar_n require_v four_o pound_n of_o powder_n for_o its_o load_n what_o will_v a_o demy_fw-fr cannon_n of_o 6_o

shall_v reach_v from_o 28_o 28_o the_o circumference_n to_o 254_o inch_n 5_o part_n the_o superficial_a inch_n of_o that_o bullet_n example_n 3._o the_o diameter_n of_o a_o bullet_n be_v 9_o inch_n how_o many_o cubical_a inch_n be_v therein_o contain_v the_o analogy_n i._o as_o 1_o be_v to_o 9_o the_o diameter_n so_o be_v 9_o to_o a_o four_o number_n and_o that_o four_o number_n to_o 729_o the_o cube_n of_o the_o diameter_n ii_o as_o 9_o the_o diameter_n be_v to_o 729_o its_o cube_n so_o be_v 11_o to_o 891_o cubical_a inch_n in_o that_o bullet_n extend_v the_o compass_n from_o 1_o to_o 9_o in_o the_o cubical-scale_n that_o extent_n will_v reach_v to_o 81_o and_o from_o 81_o to_o 729_o the_o cube_n of_o the_o diameter_n then_o extend_v the_o compass_n from_o 9_o the_o diameter_n to_o 729_o its_o cube_n that_o extent_n will_v reach_v from_o 11_o to_o 891_o inch_n the_o solid_a content_n of_o the_o bullet_n the_o description_n of_o the_o sea-gunner_n rule_v be_v the_o epitome_n of_o the_o art_n of_o gunnery_n which_o take_v the_o convex_a diameter_n of_o any_o shot_n the_o concave_a diameter_n of_o the_o boar_n of_o any_o gun_n from_o the_o base_a to_o the_o cannon-royal_a on_o which_o be_v insert_v a_o line_n of_o number_n for_o the_o ready_a work_n of_o any_o question_n in_o gunnery_n as_o also_o several_a line_n show_v the_o weight_n and_o diameter_n of_o any_o shot_n with_o the_o weight_n of_o powder_n and_o shot_n for_o any_o piece_n of_o ordnance_n the_o weight_n of_o the_o piece_n the_o length_n and_o breadth_n of_o the_o ladle_n and_o several_a other_o useful_a matter_n as_o a_o line_n of_o chord_n a_o line_n of_o rhumb_n league_n and_o longitude_n suppose_v that_o every_o sea-gunner_n be_v also_o a_o navigator_n there_o be_v also_o a_o circle_n that_o take_v any_o angle_n and_o will_v also_o show_v the_o degree_n of_o mounture_n of_o any_o piece_n of_o ordnance_n the_o description_n of_o the_o sea-gunner_n rule_n the_o rule_n be_v a_o foot_n in_o length_n when_o open_a on_o the_o edge_n be_v a_o line_n of_o inch_n for_o the_o measure_v any_o thing_n necessary_a to_o be_v measure_v and_o may_v be_v of_o any_o other_o length_n at_o pleasure_n through_o the_o head_n go_v a_o brass_n semicircle_n fix_v to_o the_o stand_a part_n of_o the_o rule_n on_o which_o be_v cut_v the_o division_n that_o give_v the_o diameter_n of_o a_o shot_n who_o inch_n be_v show_v by_o the_o inside_n of_o the_o movable_a leg_n of_o the_o rule_n and_o the_o concave_a diameter_n of_o a_o gun_n be_v cut_v upon_o the_o brass_n semicircle_n by_o the_o outside_n of_o the_o movable_a leg._n there_o be_v also_o a_o circle_n of_o degree_n upon_o the_o outward_a limb_n or_o edge_n of_o the_o semicircle_n which_o be_v to_o give_v the_o quantity_n of_o any_o angle_n cut_v by_o the_o inside_n of_o the_o movable_a leg_n of_o the_o rule_n by_o which_o you_o may_v observe_v the_o quantity_n of_o any_o angle_n to_o give_v the_o degree_n of_o mounture_n with_o the_o help_n of_o a_o plummet_n that_o be_v to_o hang_v upon_o the_o movable_a leg_n of_o the_o rule_n the_o use_v follow_v a_o description_n of_o one_o side_n of_o the_o rule_n on_o one_o side_n of_o the_o rule_n be_v place_v a_o line_n of_o inches_n abut_a against_o another_o line_n which_o show_v the_o weight_n of_o iron-shot_a and_o on_o the_o same_o side_n be_v place_v a_o line_n of_o number_n for_o the_o answer_v any_o question_n in_o gunnery_n with_o the_o help_n of_o a_o pair_n of_o compass_n a_o description_n of_o the_o other_o side_n of_o the_o rule_n there_o be_v several_a line_n on_o this_o side_n which_o show_n the_o name_n of_o the_o gun_n the_o weight_n of_o powder_n the_o weight_n of_o shot_n fit_a for_o each_o gun_n the_o length_n of_o the_o ladle_n for_o each_o piece_n the_o breadth_n of_o the_o ladle_n the_o weight_n of_o each_o sort_n of_o gun_n upon_o the_o same_o side_n be_v also_o place_v the_o line_n of_o the_o plain_a scale_n as_o the_o line_n of_o league_n the_o line_n of_o rhumb_n the_o line_n of_o longitude_n and_o the_o line_n of_o chord_n all_o which_o be_v for_o the_o accommodation_n of_o the_o sea-gunner_n who_o be_v also_o a_o mariner_n as_o well_o as_o gunner_n in_o the_o inside_n of_o the_o rule_n there_o lie_v two_o brass_n leg_n which_o be_v take_v out_o and_o open_v as_o far_o as_o they_o will_v open_v the_o two_o point_n will_v do_v the_o office_n of_o a_o pair_n of_o calabers_n to_o take_v the_o diameter_n of_o a_o shot_n cut_v by_o the_o inside_n of_o the_o movable_a leg_n upon_o the_o edge_n of_o the_o brass_n semicircle_n the_o use_v follow_v use_v 1_o to_o find_v the_o concave_a diameter_n of_o the_o mouth_n of_o any_o piece_n of_o ordnance_n this_o be_v perform_v by_o the_o two_o outer_a corner_n of_o the_o rule_n be_v put_v to_o the_o inside_n of_o the_o concavity_n of_o any_o gun_n and_o open_v the_o rule_n as_o wide_o as_o it_o will_v permit_v then_o on_o the_o brass_n semicircle_n will_v be_v cut_v by_o the_o outer_a edge_n of_o the_o rule_n the_o diameter_n of_o the_o concavity_n of_o the_o say_a piece_n use_v 2._o to_o find_v the_o diameter_n of_o a_o shot_n to_o perform_v this_o you_o must_v open_v the_o brass_n leg_n in_o the_o inside_n of_o the_o rule_n to_o their_o utmost_a extent_n then_o open_a the_o point_n of_o they_o to_o the_o diameter_n of_o the_o shot_n and_o the_o quantity_n of_o inch_n and_o part_n will_v be_v cut_v upon_o the_o semicircle_n by_o the_o inside_n of_o the_o leg._n use_v 3_o to_o find_v the_o quantity_n of_o a_o angle_n or_o to_o find_v the_o degree_n of_o mounture_n of_o any_o piece_n of_o ordnance_n to_o find_v the_o quantity_n of_o any_o angle_n upon_o the_o leg_n of_o the_o rule_n to_o any_o angle_n require_v and_o the_o inside_n of_o the_o movable_a leg_n will_v cut_v the_o quantity_n of_o the_o angle_n upon_o the_o brass_n semicircle_n to_o find_v and_o to_o set_v the_o degree_n of_o mounture_n of_o a_o piece_n of_o ordnance_n you_o must_v hang_v a_o thread_n and_o plummet_n upon_o the_o movable_a leg_n and_o put_v the_o fix_a leg_n into_o the_o muzzle_n of_o the_o piece_n and_o open_v the_o movable_a leg_n until_o the_o plummet_n fall_v perpendicular_a upon_o the_o line_n upon_o which_o the_o pin_n be_v fix_v upon_o which_o the_o plummet_n be_v hang_v and_o on_o the_o edge_n of_o the_o brass_n semicircle_n will_v be_v cut_v the_o angle_n of_o the_o degree_n of_o mounture_n by_o the_o inside_n of_o the_o movable_a leg._n use_v 4._o the_o use_v of_o that_o side_n of_o the_o rule_n upon_o which_o the_o line_n of_o number_n be_v place_v on_o this_o side_n be_v place_v a_o line_n of_o number_n for_o the_o ready_a operation_n of_o any_o question_n in_o gunnery_n with_o the_o help_n of_o a_o pair_n of_o compass_n the_o manner_n of_o work_v on_o the_o line_n of_o number_n be_v show_v in_o the_o use_n of_o the_o proportional_a scale_n in_o this_o treatise_n to_o which_o i_o refer_v you_o on_o this_o side_n of_o the_o rule_n be_v place_v a_o line_n of_o inches_n on_o which_o may_v be_v find_v the_o diameter_n of_o any_o shot_n and_o upon_o the_o line_n adjoin_v to_o it_o be_v show_v the_o weight_n of_o any_o shot_n who_o diameter_n be_v give_v example_n 1._o a_o shot_n of_o four_o inch_n diameter_n the_o weight_n be_v require_v seek_v 4_o in_o the_o line_n of_o inches_n upon_o this_o flat_a side_n and_o just_a against_o it_o you_o will_v find_v 9_o which_o show_v that_o a_o shot_n of_o four_o inch_n diameter_n weigh_v nine_o pound_n example_n 2._o a_o shot_n of_o eight_o inch_n diameter_n the_o weight_n be_v require_v seek_v for_o 8_o on_o the_o line_n of_o inches_n on_o the_o flat_a side_n and_o right_o against_o it_o on_o the_o adjoin_a line_n you_o will_v find_v 72_o which_o be_v the_o weight_n of_o the_o shot_n that_o be_v eight_o inch_n diameter_n use_v 5._o the_o use_n of_o the_o other_o side_n of_o the_o rule_n on_o this_o side_n of_o the_o rule_n be_v six_o line_n the_o first_o show_v the_o name_n of_o the_o piece_n express_v by_o 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