Selected quad for the lemma: end_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
end_n	line_n	point_n	require_v	1,303	5	9.1027	5	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

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c_o a_n and_z c_z b_o then_o open_v the_o compass_n to_o any_o convenient_a wide_a distance_n set_v one_o foot_n in_o the_o point_n a_o with_o the_o other_o strike_v the_o occult_a arch_n at_o f_o the●_n with_o the_o same_o distance_n set_v one_o foot_n in_o the_o point_n b_o and_o with_o the_o other_o draw_v the_o arch_n f_o cross_v e_o in_o the_o point_n d_o from_o whence_o draw_v the_o line_n dc_o which_o line_n be_v a_o perpendicular_a unto_o the_o give_v line_n a_o b_o as_o be_v require_v to_o let_v a_o perpendicular_a fall_n from_o a_o point_n assign_v to_o the_o middle_n of_o a_o line_n give_v let_v the_o line_n give_v whereupon_o you_o will_v have_v a_o perpendicular_a let_v fall_v be_v the_o line_n b_o c_o d_o and_o the_o point_v a_o to_o be_v the_o point_n assign_v from_o whence_o you_o will_v have_v the_o perpendicular_a let_v fall_v from_o the_o give_v line_n b_o c_o d_o first_o set_v one_o foot_n of_o your_o compass_n in_o the_o point_n a_o and_o open_v they_o to_o any_o 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a_o b_o in_o the_o point_n e_o then_o turn_v the_o same_o foot_n of_o the_o compass_n towards_o c_o and_o draw_v a_o occult_a arch_n and_o lay_v the_o edge_n of_o a_o ruler_n to_o those_o two_o point_n e_o and_o d_o and_o where_o the_o same_o edge_n of_o the_o ruler_n do_v cut_v the_o arch_n c_o from_o that_o point_n draw_v the_o line_n c_o b_o which_o shall_v be_v a_o perpendicular_a at_o the_o end_n of_o the_o line_n a_o b._n to_o let_v fall_v a_o perpendicular_a from_o a_o point_n assign_v unto_o the_o end_n of_o a_o line_n give_v let_v the_o line_n a_o b_o be_v give_v unto_o which_o it_o be_v require_v to_o let_v a_o perpendicular_a fall_n from_o the_o assign_a point_n d_o unto_o the_o end_n a._n first_o from_o the_o assign_a point_n d_o draw_v a_o line_n unto_o any_o point_n of_o

the_o give_v line_n a_o b_o which_o may_v be_v the_o line_n d_o c_o e_o then_o find_v the_o middle_n of_o the_o line_n d_o e_o which_o be_v at_o c_o place_n one_o foot_n of_o your_o compass_n in_o that_o point_n and_o extend_v the_o other_o foot_n unto_o d_o or_o e_o with_o which_o distance_n draw_v the_o semicircle_n d_o a_o e_o which_o shall_v cut_v the_o give_v line_n a_o b_o in_o the_o point_n a_o from_o which_o point_n draw_v the_o line_n d_o a_o which_o be_v the_o perpendicular_a let_v fall_v from_o the_o assign_a point_n d_o on_o the_o end_n of_o the_o give_v line_n a_o b_o as_o be_v require_v to_o draw_v a_o line_n parallel_n to_o a_o line_n give_v let_v a_o b_o be_v a_o line_n give_v whereunto_o it_o be_v require_v to_o draw_v a_o parallel_n first_o set_v one_o foot_n of_o the_o compass_n in_o the_o point_n c_o and_o open_v the_o other_o foot_n at_o pleasure_n draw_v the_o arch_n e_o then_o with_o the_o same_o distance_n set_v one_o foot_n in_o the_o point_n d_o and_o draw_v 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with_o the_o other_o foot_n describe_v a_o circle_n and_o that_o circumference_n will_v represent_v a_o bullet_n twice_o as_o much_o weight_n as_o the_o other_o the_o sight_n of_o the_o annex_v figure_n be_v a_o sufficient_a explanation_n a_o b_o be_v the_o diameter_n of_o the_o lesser_a bullet_n a_o c_o the_o diameter_n of_o the_o great_a perform_v by_o arithmetic_n suppose_v the_o diameter_n of_o the_o lesser_a bullet_n be_v five_o inch_n the_o square_a thereof_o be_v twenty_o five_o the_o double_a of_o it_o be_v fifty_o the_o root_n thereof_o be_v 7_o 1_o 7_o and_o so_o much_o be_v the_o diameter_n of_o the_o great_a bullet_n the_o weight_n of_o any_o shot_n give_v to_o find_v the_o diameter_n geometrical_o suppose_v a_o shot_n be_v one_o two_o or_o three_o pound_n weight_n of_o metal_n or_o stone_n assign_v if_o one_o pound_n divide_v the_o diameter_n into_o four_o part_n and_o five_o such_o part_n will_v make_v the_o diameter_n of_o a_o shot_n of_o the_o say_a metal_n or_o stone_n 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geometrical_a theorem_n and_o problem_n theorem_fw-la 1._o all_o circle_n be_v equal_a to_o that_o right_o angle_a triangle_n who_o contain_v side_n the_o one_o be_v equal_a to_o the_o semidiameter_n and_o the_o other_o to_o the_o circumference_n thereof_o theorem_fw-la 2._o the_o proportion_n of_o the_o diameter_n of_o a_o circle_n to_o the_o circumference_n be_v as_o 1,000000_o to_o 3,141593_o fere_n or_o as_o archim_n 7_o to_o 22._o theorem_fw-la 3_o the_o proportion_n of_o the_o diameter_n to_o the_o side_n of_o the_o square_n equal_a to_o the_o circle_n be_v as_o 1,000000_o to_o 886227_o fere_n theorem_fw-la 4._o the_o proportion_n of_o the_o diameter_n to_o the_o side_n of_o the_o inscribe_v square_a be_v as_o 1,000000_o to_o 707107_o fere_n theorem_fw-la 5._o the_o proportion_n of_o the_o circumference_n to_o the_o diameter_n be_v as_o 1_o to_o .318310_o fere_n or_o as_o 22_o to_o 7._o theorem_fw-la 6._o the_o proportion_n of_o the_o circumference_n to_o the_o side_n of_o the_o square_n equal_a to_o the_o circle_n be_v as_o 1_o to_o .282095_o theorem_fw-la 7._o the_o proportion_n of_o the_o circumference_n to_o the_o side_n of_o the_o inscribe_v square_a be_v as_o 1_o to_o .225078_o arithmetical_a problem_n appertain_v to_o the_o art_n of_o gunnery_n and_o wrought_v by_o decimal_a arithmetic_n by_o the_o logarithm_n and_o gunter_n be_v scale_n prob._n 1._o the_o diameter_n of_o a_o circle_n be_v give_v to_o find_v the_o circumference_n the_o analogy_n as_o 1_o be_v to_o the_o diameter_n so_o be_v 3.142_o to_o the_o circumference_n or_o as_o 7_o to_o 22_o so_o be_v the_o diameter_n to_o the_o circumference_n if_o the_o diameter_n of_o a_o circle_n be_v 15_o inch_n what_o be_v the_o circumference_n by_o gunter_n be_v scale_n by_o the_o logarithm_n as_o the_o log._n of_o 15_o the_o diameter_n 1,17609_o be_v to_o the_o logarithm_n of_o 3,142_o 0,49720_o so_o be_v the_o logarithm_n of_o 0,00000_o to_o the_o logar_n of_o the_o answer_n 47,1367329_o extend_v the_o 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circumference_n the_o same_o extent_n the_o same_o way_n shall_v reach_v from_o 3,142_o to_o the_o diameter_n 15._o prob._n 3._o the_o diameter_n of_o a_o circle_n be_v give_v to_o find_v the_o side_n of_o a_o square_n equal_a to_o it_o if_o the_o diameter_n of_o a_o circle_n be_v 15_o inch_n what_o shall_v be_v the_o side_n of_o a_o square_n equal_a to_o it_o the_o analogy_n as_o 1_o be_v to_o 15_o so_o this_o number_n 8862_o to_o 13.29_o the_o side_n of_o a_o square_n equal_a in_o content_a to_o that_o circle_n by_o the_o logarithm_n as_o the_o logarithm_n 1_o 0,00000_o be_v to_o the_o logarithm_n 15_o 1,17609_o so_o be_v the_o logarithm_n of_o 8862_o 0,94753_o to_o the_o answer_n 13,29_o 2,12362_o by_o gunter_n be_v scale_n extend_v the_o compass_n from_o 1_o to_o 8862_o the_o same_o extent_n shall_v reach_v from_o 15_o to_o 13.29_o prob._n 4._o the_o circumference_n of_o a_o circle_n be_v give_v to_o find_v the_o side_n of_o a_o square_a equal_a in_o content_a to_o that_o circle_n if_o the_o circumference_n of_o a_o circle_n be_v 47_o 13_o the_o side_n of_o a_o square_n equal_a to_o it_o be_v require_v the_o analogy_n as_o 1_o be_v to_o 47.13_o so_o be_v this_o number_n 2821_o to_o 13.29_o the_o side_n of_o the_o square_n require_v by_o the_o logarithm_n as_o the_o logarithm_n of_o 1_o 0,0000_o be_v to_o the_o logarithm_n of_o 4713_o 0,67329_o ●o_o be_v the_o logarithm_n of_o 2821_o 0,45040_o to_o the_o answer_n 13,29_o 1,12369_o by_o gunter_n scale_n extend_v the_o compass_n upon_o the_o line_n of_o number_n from_o 1_o to_o 2812_o the_o same_o extent_n shall_v reach_v the_o same_o way_n from_o 47.13_o to_o 13.29_o the_o side_n of_o the_o square_n require_v prob._n 5._o the_o diameter_n of_o any_o

the_o sea_n gunner_n publish_v by_o john_n seller_n a_o cascable_a deck_n b_o base_a ring_n c_o touchole_n d_o the_o chamber_n e_o reinfourd_n ring_n f_o trunions_n g_o cornish_n ring_n h_o trunion_n ring_n the_o sea-gunner_n show_v the_o practical_a part_n of_o gunnery_n as_o it_o be_v use_v at_o sea._n and_o as_o a_o introduction_n thereto_o there_o be_v exhibit_v two_o compendium_n one_o of_o vulgar_a the_o other_o of_o decimal_a arithmetic_n with_o necessary_a table_n relate_v to_o that_o art_n to_o which_o be_v add_v a_o appendix_n show_v the_o use_n of_o a_o proportional_a scale_n for_o the_o ready_a work_n of_o any_o question_n in_o gunnery_n and_o the_o use_v of_o the_o sea-gunner_n rule_n of_o a_o excellent_a contrivance_n contain_v a_o epitome_n of_o the_o art_n of_o gunnery_n in_o itself_o compose_v by_o 〈◊〉_d s●●●●r_n senior_fw-la london_n print_v by_o h._n clerk_n for_o the_o author_n and_o be_v to_o sell_v by_o he_o at_o the_o hermitage_n in_o wapping_n 1691._o the_o preface_n to_o the_o reader_n courteous_a reader_n have_v observe_v for_o several_a year_n that_o there_o have_v be_v a_o great_a want_n of_o a_o piece_n of_o sea-gunnery_a that_o have_v be_v principal_o adapt_v for_o sea-service_n in_o a_o treatise_n by_o itself_o for_o those_o book_n that_o be_v extant_a be_v chief_o intend_v for_o land_n service_n and_o at_o this_o time_n most_o of_o they_o be_v out_o of_o print_n i_o judge_v this_o a_o fit_a opportunity_n for_o the_o publish_n this_o small_a treatise_n hope_v it_o will_v be_v grateful_o accept_v by_o our_o sea-gunner_n and_o in_o regard_n that_o those_o who_o will_v be_v student_n in_o that_o art_n ought_v in_o some_o competent_a measure_n to_o be_v acquaint_v with_o arithmetic_n for_o the_o sake_n of_o such_o i_o have_v exhibit_v two_o compendium_n thereof_o one_o in_o vulgar_a and_o the_o other_o in_o decimal_a arithmetic_n as_o a_o necessary_a preparation_n for_o the_o work_a those_o question_n that_o be_v incident_a to_o that_o art_n and_o for_o the_o ease_n of_o such_o as_o be_v not_o full_o acquaint_v therewith_o i_o have_v furnish_v they_o with_o a_o proportional_a scale_n whereby_o they_o may_v perform_v all_o the_o operation_n that_o be_v useful_a in_o gunnery_n as_o also_o to_o extract_v the_o square_a and_o cube-root_n and_o how_o to_o perform_v the_o same_o by_o logarithm_n and_o by_o gunter's-scale_n to_o which_o i_o have_v add_v several_a necessary_a table_n useful_a in_o gunnery_n with_o proper_a question_n and_o their_o answer_n and_o useful_a observation_n and_o instruction_n and_o for_o the_o better_a accomplish_v the_o design_n of_o this_o book_n i_o have_v consult_v with_o the_o best_a approve_a author_n that_o have_v write_v on_o this_o subject_a also_o at_o the_o end_n of_o this_o treatise_n i_o have_v present_v you_o with_o a_o small_a tract_n as_o a_o appendix_n particular_o of_o the_o use_n of_o the_o proportional_a scale_n and_o of_o the_o use_n of_o a_o rule_n of_o a_o new_a contrivance_n fit_a for_o the_o pocket_n that_o have_v upon_o it_o a_o epitome_n of_o the_o practical_a part_n of_o gunnery_n in_o itself_o which_o i_o call_v the_o sea-gunner_n rule_n all_o which_o i_o submit_v to_o the_o favourable_a construction_n of_o the_o judicious_a and_o rest_v your_o friend_n to_o serve_v you_o john_n seller_n a_o table_n of_o the_o principal_a matter_n contain_v in_o this_o book_n chap._n i._o of_o vulgar_a arithmetic_n page_z 1_o of_o notation_n of_o number_n ibid._n numeration_n and_o addition_n 3_o subtraction_n 5_o multiplication_n 7_o division_n 15_o the_o rule_n of_o three_o direct_v 19_o the_o rule_n of_o three_o reverse_n 22_o double_a rule_n of_o three_o 23_o chap._n ii_o of_o decimal_a arithmetic_n 28_o notation_n of_o fraction_n ibid._n addition_n of_o decimal_n 33_o subtraction_n of_o decimal_n 34_o multiplication_n of_o decimal_n 35_o division_n of_o decimal_n 37_o a_o decimal_n table_n of_o penny_n and_o farthing_n 46_o a_o table_n of_o decimal_n of_o one_o pound_n sterling_n 48_o a_o table_n of_o the_o decimal_n of_o a_o english_a foot_n to_o every_o inch_n and_o eight_o part_n of_o a_o inch_n 49_o chap._n iii_o the_o extraction_n of_o the_o square-root_n by_o arithmetic_n 52_o to_o extract_v the_o sqaure-root_n by_o logarithm_n and_o gunter's-scale_n 56_o to_o extract_v the_o cube-root_n by_o arithmetic_n 57_o to_o prepare_v a_o cube_n number_n for_o extraction_n 59_o to_o extract_v the_o cube-root_n by_o the_o logarithm_n 63_o to_o extract_v the_o cube-root_n by_o gunter's-scale_n 64_o a_o table_n of_o square-root_n 65_o a_o table_n of_o cubick-root_n 66_o to_o make_v the_o table_n of_o square_a and_o cube-root_n 67_o a_o table_n of_o logarithm_n 8_o a_o description_n and_o use_n of_o the_o table_n of_o logarithm_n 82_o multiplication_n by_o logarithm_n 86_o division_n by_o logarithm_n 87_o of_o a_o circle_n 88_o 1._o the_o diameter_n be_v give_v to_o find_v the_o circumference_n by_o the_o logarithm_n ibid._n 2._o the_o circumference_n be_v give_v to_o find_v the_o diameter_n 89_o 3._o the_o diameter_n of_o a_o circle_n be_v give_v to_o find_v the_o area_n or_o superficial_a content_n thereof_o 90_o 4_o the_o circumference_n be_v give_v to_o find_v the_o area_n 91_o chap._n iv_o contain_v geometrical_a rudiment_n useful_a in_o the_o art_n of_o gunnery_n 93_o to_o raise_v a_o perpendicular_a from_o the_o middle_n of_o a_o line_n give_v ibid._n to_o let_v a_o perpendicular_a fall_n from_o a_o point_n assign_v to_o the_o middle_n of_o a_o line_n give_v 94_o to_o raise_v a_o perpendicular_a upon_o the_o end_n of_o a_o line_n give_v 95_o to_o let_v fall_v a_o perpendicular_a from_o a_o point_n assign_v unto_o the_o end_n of_o a_o line_n give_v 96_o to_o draw_v a_o line_n parallel_v to_o a_o line_n give_v 97_o a_o geometrical_a way_n to_o find_v the_o diameter_n of_o a_o bullet_n that_o weigh_v twice_o as_o much_o as_o a_o know_a bullet_n 98_o the_o weight_n of_o a_o shot_n give_v to_o find_v the_o diameter_n geometrical_o 100_o chap._n v._o geometrical_a theorem_n and_o problem_n 102_o arithmetical_a problem_n appertain_v to_o the_o art_n of_o gunnery_n and_o wrought_v by_o decimal_a arithmetic_n by_o logarithm_n and_o gunter_n be_v scale_n prob._n 1._o the_o diameter_n of_o a_o circle_n be_v give_v to_o find_v the_o circumference_n ibid._n prob._n 2._o the_o circumference_n of_o a_o circle_n be_v give_v to_o find_v the_o diameter_n 105_o prob._n 3._o the_o diameter_n of_o a_o circle_n be_v give_v to_o find_v the_o side_n of_o a_o square_n equal_a to_o it_o 107_o prob._n 4._o the_o circumference_n of_o a_o circle_n be_v give_v to_o find_v the_o side_n of_o a_o square_n equal_a in_o content_a to_o that_o circle_n 108_o prob._n 5._o the_o diameter_n of_o any_o spherical_a body_n be_v know_v to_o find_v the_o circumference_n 109_o prob._n 6._o the_o circumference_n of_o any_o spherical_a body_n be_v know_v to_o find_v the_o diameter_n 110_o prob._n 7._o the_o diameter_n and_o circumference_n of_o any_o spherical_a body_n be_v know_v to_o find_v the_o superficial_a content_a 111_o prob._n 8._o the_o axis_n or_o diameter_n of_o a_o globical_a body_n be_v know_v to_o find_v the_o solid_a content_a 112_o prob._n 9_o the_o diameter_n of_o a_o bullet_n be_v give_v with_o the_o weight_n to_o find_v the_o weight_n of_o another_o bullet_n of_o the_o same_o metal_n but_o of_o another_o diameter_n either_o great_a or_o lesser_a 113_o prob._n 10._o have_v the_o weight_n of_o a_o bullet_n of_o one_o kind_n of_o metal_n to_o find_v the_o weight_n of_o a_o bullet_n of_o another_o kind_n of_o metal_n be_v equal_a in_o magnitude_n 116_o prob._n 11._o a_o bullet_n of_o iron_n that_o weight_v seventy_o two_o pound_n what_o will_v a_o bullet_n of_o lead_n weigh_v that_o be_v equal_a to_o it_o in_o bigness_n 118_o prob._n 12._o the_o diameter_n and_o weight_n of_o any_o one_o cylend_a of_o a_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 119_o 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 to_o find_v the_o weight_n of_o another_o piece_n of_o ordnance_n of_o another_o 〈◊〉_d that_o be_v of_o the_o same_o sha●●_n 121_o ●●ob_n 14._o to_o find_v the_o sup●●fi●●l_a content_a of_o the_o convex_a face_n of_o any_o piece_n of_o ordnance_n and_o also_o the_o solid_a content_n of_o the_o concavity_n thereof_o 123_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 126_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

763_o 2,88252_o 764_o 2,88309_o 765_o 2,88361_o 766_o 2,88423_o 767_o 2,88479_o 768_o 2,88536_o 769_o 2,88592_o 770_o 2,88649_o 771_o 2,88705_o 772_o 2,88762_o 773_o 2,88818_o 774_o 2,88874_o 775_o 2,88930_o 776_o 2,88986_o 777_o 2,89042_o 778_o 2,89093_o 779_o 2,89154_o 780_o 2,89209_o 781_o 2,89265_o 782_o 2,89321_o 783_o 2,89376_o 784_o 2,89431_o 785_o 2,89487_o 786_o 2,89542_o 787_o 2,89597_o 788_o 2,89653_o 789_o 2,89708_o 790_o 2,89763_o 791_o 2,89818_o 792_o 2,89872_o 793_o 2,89927_o 794_o 2,89982_o 795_o 2,90037_o 796_o 2,90091_o 797_o 2,90146_o 798_o 2,90200_o 799_o 2,90255_o 800_o 2,90309_o 801_o 2,90363_o 802_o 2,90417_o 803_o 2,90472_o 804_o 2,90526_o 805_o 2,90580_o 806_o 2,90633_o 807_o 2,90687_o 808_o 2,90741_o 809_o 2,90795_o 810_o 2,90848_o 811_o 2,90902_o 812_o 2,90956_o 813_o 2,91005_o 814_o 2,91062_o 815_o 2,91116_o 816_o 2,91169_o 817_o 2,91222_o 818_o 2,91277_o 819_o 2,91328_o 820_o 2,91381_o 821_o 2,91434_o 822_o 2,91487_o 823_o 2,91540_o 824_o 2,91593_o 825_o 2,91645_o 826_o 2,91698_o 827_o 2,91751_o 828_o 2,91803_o 829_o 2,91855_o 830_o 2,91908_o 831_o 2,91960_o 832_o 2,92012_o 833_o 2,92064_o 834_o 2,92117_o 835_o 2,92169_o 836_o 2,92221_o 837_o 2,92272_o 838_o 2,92324_o 839_o 2,92376_o 840_o 2,92428_o 841_o 2,92480_o 842_o 2,92531_o 843_o 2,92582_o 844_o 2,92634_o 845_o 2,92686_o 846_o 2,92737_o 847_o 2,92788_o 848_o 2,92840_o 849_o 2,92891_o 850_o 2,92942_o 851_o 2,92993_o 852_o 2,93044_o 853_o 2,93095_o 854_o 2,93146_o 855_o 2,93197_o 856_o 2,93247_o 857_o 2,93298_o 858_o 2,93349_o 859_o 2,93399_o 860_o 2,93450_o 861_o 2,93500_o 862_o 2,93551_o 863_o 2,93601_o 864_o 2,93651_o 865_o 2,93701_o 866_o 2,93752_o 867_o 2,93802_o 868_o 2,93852_o 869_o 2,93902_o 870_o 2,93952_o 871_o 2,94001_o 872_o 2,94052_o 873_o 2,94102_o 874_o 2,94151_o 875_o 2,94201_o 876_o 2,94250_o 877_o 2,94300_o 878_o 2,94349_o 879_o 2,94399_o 880_o 2,94448_o 881_o 2,94498_o 882_o 2,94547_o 883_o 2,94596_o 884_o 2,94645_o 885_o 2,94694_o 886_o 2,94743_o 887_o 2,94792_o 888_o 2,94841_o 889_o 2,94890_o 890_o 2,94939_o 891_o 2,94988_o 892_o 2,9503●_n 893_o 2,95085_o 894_o 2,95134_o 895_o 2,95182_o 896_o 2,95231_o 897_o 2,95279_o 898_o 2,95328_o 899_o 2,95376_o 900_o 2,95424_o 901_o 2,95472_o 902_o 2,95521_o 903_o 2,95569_o 904_o 2,95617_o 905_o 2,95664_o 906_o 2,95713_o 907_o 2,95761_o 908_o 2,95809_o 909_o 2,95856_o 910_o 2,95904_o 911_o 2,95952_o 912_o 2,95999_o 913_o 2,96047_o 914_o 2,96095_o 915_o 2,96142_o 916_o 2,96189_o 917_o 2,96237_o 918_o 2,96284_o 919_o 2,96331_o 920_o 2,96379_o 921_o 2,96426_o 922_o 2,96473_o 923_o 2,96520_o 924_o 2,96567_o 925_o 2,96614_o 926_o 2,96661_o 927_o 2,96708_o 928_o 2,96755_o 929_o 2,96802_o 930_o 2,96848_o 931_o 2,96895_o 932_o 2,96941_o 933_o 2,96988_o 934_o 2,97035_o 935_o 2,97081_o 936_o 2,97128_o 937_o 2,97174_o 938_o 2,97220_o 939_o 2,97267_o 940_o 2,97313_o 941_o 2,97359_o 942_o 2,97405_o 943_o 2,97451_o 944_o 2,97497_o 945_o 2,97543_o 946_o 2,97589_o 947_o 2,97635_o 948_o 2,97681_o 949_o 2,97727_o 950_o 2,97772_o 951_o 2,97818_o 952_o 2,97864_o 953_o 2,97909_o 954_o 2,97955_o 955_o 2,98000_o 956_o 2,98046_o 957_o 2,98091_o 958_o 2,98137_o 959_o 2,98182_o 960_o 2,98227_o 961_o 2,98272_o 962_o 2,98317_o 963_o 2,98363_o 964_o 2,98408_o 965_o 2,98453_o 966_o 2,98498_o 967_o 2,98543_o 968_o 2,98587_o 969_o 2,98632_o 970_o 2,9867●_n 971_o 2,98722_o 972_o 2,98767_o 973_o 2,98811_o 974_o 2,98856_o 975_o 2,98900_o 976_o 2,98945_o 977_o 2,98989_o 978_o 2,99034_o 979_o 2,99078_o 980_o 2,99113_o 981_o 2,99167_o 982_o 2,99211_o 983_o 2,99255_o 984_o 2,99299_o 985_o 2,99344_o 986_o 2,99388_o 987_o 2,99432_o 988_o 2,99476_o 989_o 2,99520_o 990_o 2,99563_o 991_o 2,99607_o 992_o 2,99651_o 993_o 2,99695_o 994_o 2,99739_o 995_o 2,99782_o 996_o 2,99826_o 997_o 2,99869_o 998_o 2,99913_o 999_o 2,99956_o 1000_o 3,00000_o a_o description_n and_o use_n of_o the_o table_n of_o logarithm_n the_o table_n contain_v all_o absolute_a number_n from_o one_o to_o one_o thousand_o sufficient_a for_o any_o operation_n in_o the_o art_n of_o gunnery_n in_o each_o page_n of_o the_o table_n be_v contain_v six_o column_n in_o the_o first_o the_o third_z and_o five_o towards_o the_o left_a hand_n be_v contain_v all_o absolute_a number_n begin_v at_o 1_o and_o so_o on_o by_o 2_o 3_o 4_o 5_o 6_o etc._n etc._n to_o 1000_o have_v the_o letter_n n._n at_o the_o head_n of_o each_o column_n then_o in_o the_o second_o four_o and_o six_o column_n of_o every_o page_n be_v contain_v the_o logarithmical_a number_n answer_v each_o absolute_a number_n against_o which_o it_o stand_v and_o these_o column_n have_v at_o the_o head_n of_o they_o the_o word_n logar_n the_o number_n be_v thus_o dispose_v in_o the_o several_a page_n of_o the_o table_n it_o be_v easy_a to_o find_v the_o logarithmical_a number_n that_o answer_v there_o to_o any_o absolute_a number_n that_o shall_v be_v require_v or_o on_o the_o contrary_a if_o any_o logarithmical_a number_n be_v give_v it_o will_v be_v easy_a to_o find_v the_o absolute_a number_n to_o which_o it_o belong_v for_o if_o you_o find_v your_o absolute_a number_n in_o any_o column_n of_o the_o table_n under_o the_o letter_n n._n that_o number_n that_o stand_v in_o the_o next_o column_n to_o it_o on_o the_o right_a hand_n under_o the_o title_n logar_n be_v the_o logarithmical_a number_n thereunto_o belong_v and_o on_o the_o contrary_a in_o what_o part_n of_o the_o table_n soever_o you_o find_v any_o logarithmical_a number_n that_o number_n which_o stand_v in_o the_o next_o column_n on_o the_o left_a hand_n thereof_o be_v the_o absolute_a number_n so_o find_v and_o note_v further_o that_o all_o the_o logarithmical_a number_n between_o 1_o and_o 10_o have_v a_o cypher_n before_o they_o all_o number_n between_o 10_o and_o 100_o have_v the_o figure_n 1_o before_o they_o all_o number_n between_o 100_o and_o 1000_o have_v the_o figure_n 2_o before_o they_o which_o 1_o and_o 2_o figure_n be_v call_v the_o characteristiques_n of_o those_o number_n and_o to_o the_o end_n what_o i_o have_v here_o deliver_v may_v be_v make_v plain_a i_o shall_v give_v example_n thereof_o in_o the_o two_o follow_a proposition_n prop._n 1._o let_v it_o be_v require_v to_o find_v the_o logarithmical_a number_n belong_v to_o 16_o turn_v to_o the_o table_n in_o the_o first_o column_n of_o the_o first_o page_n where_o you_o will_v find_v 16_o under_o the_o letter_n n._n and_o right_o against_o it_o towards_o the_o right_a hand_n you_o shall_v find_v this_o number_n 1,20412_o which_o be_v the_o logarithm_n thereof_o likewise_o in_o the_o same_o page_n and_o column_n against_o 25_o you_o will_v find_v 1,39794_o which_o be_v the_o logarithm_n thereof_o also_o you_o shall_v by_o the_o same_o rule_n find_v that_o the_o logarithm_n of_o 4_o will_v be_v 0,60206_o the_o logarithm_n of_o 51_o will_v be_v 1,70757_o the_o logarithm_n of_o 321_o will_v be_v 2,50650_o and_o by_o the_o converse_n of_o what_o be_v here_o deliver_v you_o may_v find_v the_o absolute_a number_n answer_v to_o any_o give_v logarithm_n as_o in_o the_o follow_a proposition_n prop._n 2._o a_o logarithmical_a number_n be_v give_v to_o find_v the_o absolute_a number_n thereunto_o belong_v let_v it_o be_v require_v to_o find_v the_o absolute_a number_n belong_v to_o this_o logarithm_n 1,20412_o look_v in_o the_o table_n in_o the_o first_o page_n thereof_o and_o cast_v your_o eye_n down_o among_o the_o number_n under_o the_o word_n logar_n you_o will_v find_v this_o number_n 16_o to_o stand_v just_a against_o it_o on_o the_o left_a hand_n which_o be_v the_o absolute_a number_n of_o that_o logarithm_n the_o same_o be_v to_o be_v understand_v of_o all_o other_o number_n comprise_v in_o the_o forego_n table_n observe_v this_o caution_n when_o you_o have_v a_o logarithmical_a number_n give_v which_o when_o you_o look_v for_o you_o can_v find_v in_o the_o table_n you_o must_v then_o take_v the_o near_a number_n thereto_o and_o the_o absolute_a number_n which_o stand_v against_o it_o be_v the_o near_a less_o whole_a number_n which_o you_o must_v take_v as_o for_o example_n if_o you_o have_v this_o logarithmical_a number_n 0,63258_o which_o if_o you_o look_v for_o in_o the_o table_n you_o can_v find_v it_o therefore_o you_o must_v take_v the_o near_o less_o number_n which_o you_o will_v find_v to_o be_v 0,60206_o and_o right_o against_o it_o on_o the_o left_a hand_n you_o will_v find_v to_o be_v 4_o the_o near_a absolute_a number_n to_o that_o logarithm_n let_v this_o suffice_v for_o the_o description_n next_o follow_v the_o use_n the_o use_n of_o the_o table_n of_o logarithm_n in_o arithmetic_n which_o shall_v be_v exemplify_v in_o question_n of_o multiplication_n division_n and_o the_o extract_a the_o square_a and_o cube_n root_n be_v such_o part_n of_o arithmetic_n which_o tend_v whole_o to_o the_o matter_n intend_v in_o this_o treatise_n and_o therefore_o i_o shall_v begin_v with_o multiplication_n multiplication_n by_o the_o logarithm_n you_o must_v add_v the_o logarithm_n of_o the_o two_o number_n to_o be_v multiply_v together_o and_o the_o