Selected quad for the lemma: hand_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
hand_n	call_v	left_a	right_a	6,194	5	6.0677	4	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

give_v viz._n 63_o and_o subtract_v the_o 49_o from_o the_o first_o square_n and_o place_v the_o remainder_n orderly_o underneath_o the_o line_n which_o be_v 14_o to_o which_o remainder_n be_v down_o the_o next_o square_n of_o the_o number_n propound_v and_o place_v they_o on_o the_o right_a hand_n of_o the_o say_a remainder_n and_o may_v now_o be_v call_v the_o resolvend_n then_o double_a the_o root_n be_v the_o number_n place_v in_o the_o quotient_a which_o be_v 14_o and_o place_v they_o on_o the_o left_a hand_n of_o the_o resolvend_n like_o a_o divisor_n part_v off_o with_o a_o crooked_a line_n then_o demand_v how_o often_o that_o divisor_n be_v contain_v in_o the_o resolvend_n which_o may_v be_v now_o call_v the_o dividend_n proceed_v in_o all_o respect_n as_o you_o do_v in_o division_n and_o write_v the_o answer_n in_o the_o quotient_a on_o the_o right_a hand_n of_o the_o divisor_n then_o if_o you_o ask_v how_o often_o the_o divisor_n 149_o be_v find_v in_o the_o dividend_n 1404_o the_o answer_n be_v 9_o time_n therefore_o write_v 9_o in_o the_o quotient_a and_o also_o after_o the_o divisor_n 14._o then_o multiply_v all_o the_o number_n which_o stand_v on_o the_o left_a hand_n of_o the_o resolvend_n viz._n before_o the_o crooked_a line_n and_o write_v the_o product_n orderly_o underneath_o the_o resolvend_n then_o have_v draw_v a_o line_n under_o the_o say_a product_n subtract_v it_o from_o the_o resolvend_n and_o subscribe_v the_o remainder_n under_o the_o line_n which_o be_v 63_o unto_o which_o number_n bring_v down_o the_o remain_a figure_n of_o the_o resolvend_n and_o then_o there_o will_v be_v 6336_o at_o the_o left_a hand_n of_o which_o number_n draw_v another_o crooked_a line_n then_o double_a the_o quotient_a which_o be_v 158_o and_o set_v it_o on_o the_o left_a hand_n of_o the_o say_v crooked_a line_n then_o demand_v how_o often_o you_o may_v have_v 158_o in_o 633_o the_o answer_n be_v 4_o which_z 4_o must_v be_v place_v in_o the_o quotient_a then_o multiply_v that_o by_o each_o figure_n of_o the_o divisor_n and_o subscribe_v the_o product_n orderly_o under_o the_o dividend_n and_o subtract_v it_o therefrom_o and_o there_o remain_v 16_o so_o the_o work_n be_v finish_v and_o the_o square_a root_n of_o that_o number_n 630436_o be_v 794_o and_o 16_o which_o remain_v intimate_v that_o the_o root_n be_v something_o great_a than_o 794_o but_o less_o than_o 795_o yet_o how_o much_o great_a than_o 794_o be_v not_o yet_o discover_v by_o any_o rule_n of_o art_n but_o far_a progress_n may_v be_v make_v for_o a_o near_a discovery_n of_o the_o truth_n but_o in_o this_o case_n it_o be_v but_o a_o small_a difference_n i_o shall_v wave_v it_o to_o extract_v the_o square_a root_n by_o the_o logarithm_n the_o rule_n half_n the_o logarithm_n of_o any_o number_n be_v the_o logarithm_n of_o the_o square_a root_n thereof_o example_n let_v the_o square_a number_n give_v be_v 5625_o the_o logarithm_n of_o 625_o be_v 2,79588_o the_o half_a thereof_o be_v 1,39794_o which_o be_v the_o logarithm_n of_o 25_o the_o root_n of_o the_o say_a number_n by_o gunter_n scale_n to_o extract_v the_o square_a root_n be_v to_o find_v a_o mean_a proportional_a number_n between_o i_o and_o the_o number_n give_v therefore_o divide_v the_o space_n between_o they_o into_o two_o equal_a part_n and_o that_o shall_v be_v the_o root_n seek_v example_n let_v it_o be_v require_v to_o find_v the_o square_a root_n of_o 144_o divide_v the_o distance_n betwixt_o i_o and_o 144_o equal_o and_o the_o compass_n will_v fall_v on_o 12_o the_o root_n seek_v the_o extraction_n of_o the_o cube_a root_n the_o extraction_n of_o the_o cube_n root_n be_v that_o by_o which_o have_v a_o number_n give_v another_o may_v be_v find_v which_o be_v first_o multiply_v by_o itself_o and_o then_o by_o the_o product_n produce_v the_o number_n give_v 〈◊〉_d the_o extraction_n of_o the_o cube_n root_n the_o ●●●ber_n propound_v be_v always_o conceive_v to_o be_v a_o cubical_a number_n that_o be_v a_o certain_a number_n of_o little_a cube_n comprehend_v within_o one_o entire_a great_a cube_n so_o that_o the_o root_n of_o any_o perfect_a cubical_a number_n be_v a_o right_a line_n of_o a_o solid_a body_n contain_v 6_o equal_a side_n which_o constitute_v as_o many_o square_a superficies_n or_o a_o number_n multiply_v twice_o in_o itself_o which_o in_o the_o solid_a have_v length_n breadth_n and_o depth_n as_o may_v more_o plain_o appear_v in_o this_o annex_v cubical_a figure_n a_o cube_n number_n be_v either_o single_a or_o compound_v a_o single_a cube_n number_n be_v that_o which_o be_v produce_v by_o the_o multiplication_n of_o one_o single_a figure_n first_o by_o itself_o and_o then_o by_o the_o product_n and_o be_v always_o less_o than_o 100_o so_o 64_o be_v a_o single_a cube_n number_v produce_v by_o the_o multiplication_n of_o 4_o first_o by_o itself_o and_o then_o by_o the_o product_n as_o in_o the_o margin_n a_o compound_v cube_n number_n be_v when_o there_o be_v two_o figure_n in_o the_o root_n all_o the_o single_a cube_n number_n and_o square_a number_n together_o with_o their_o respective_a root_n be_v express_v in_o this_o table_n follow_v cube_n 1_o 8_o 27_o 64_o 125_o 216_o 343_o 512_o 729_o 1000_o squar_fw-la 1_o 4_o 9_o 16_o 25_o 36_o 49_o 64_o 81_o 100_o root_n 1_o 2_o 3_o 4_o 5_o 6_o 7_o 8_o 9_o 10_o to_o prepare_v a_o cube_n number_n for_o extraction_n the_o rule_n put_v a_o point_n over_o the_o first_o place_n thereof_o towards_o the_o right_a hand_n viz._n the_o place_n of_o unite_v then_o pass_v over_o the_o second_o and_o three_o place_n put_z another_z over_o the_o four_o and_o pass_v over_o the_o five_o and_o six_o put_z another_z over_o the_o seven_o always_o observe_v the_o same_o order_n in_o intermit_a two_o place_n between_o every_o two_o adjacent_a point_n place_n as_o many_o point_n as_o the_o number_n will_v permit_v as_o may_v plain_o appear_v in_o this_o example_n let_v 1728_o be_v the_o number_n give_v place_v the_o point_n according_a to_o this_o rule_n which_o do_v draw_v a_o crooked_a line_n on_o the_o right_a hand_n of_o the_o number_n to_o signify_v a_o quotient_a then_o find_v the_o cube_n root_n of_o the_o first_o cube_n which_o be_v 1_o as_o you_o may_v see_v in_o the_o table_n which_o 1_o set_v in_o the_o quotient_a then_o subscribe_v the_o cube_n of_o the_o root_n place_v in_o the_o quotient_a under_o the_o first_o cube_n of_o the_o number_n give_v which_o in_o this_o example_n be_v 1._o then_o draw_v a_o line_n under_o the_o cube_n subscribe_v aforesaid_a and_o subtract_v this_o cube_n from_o the_o first_o cube_n and_o place_v the_o remainder_n orderly_o underneath_o the_o line_n which_o in_o this_o example_n be_v nothing_o to_o which_o remainder_n bring_v down_o the_o ne_fw-fr x_o cube_n which_o be_v 728_o place_v it_o on_o the_o right_a hand_n of_o the_o remainder_n which_o number_n so_o place_v may_v be_v call_v the_o resolvend_n have_v draw_v a_o line_n underneath_o the_o resolvend_n square_n the_o root_n in_o the_o quotient_a that_o be_v multiply_v it_o in_o itself_o and_o subscribe_v 3_o the_o triple_a of_o the_o say_v square_a or_o product_n under_o the_o resolvend_n and_o place_n it_o under_o 7_o the_o place_n of_o hundred_o then_o triple_a the_o root_n or_o number_n in_o the_o quotient_a which_o be_v 3_o and_o subscribe_v this_o triple_a number_n in_o such_o a_o manner_n that_o the_o first_o place_n thereof_o the_o place_n of_o unite_v may_v stand_v under_o the_o second_o place_n the_o place_n of_o ten_o in_o the_o resolvend_n which_o triple_a be_v three_o which_o i_o place_n under_o 2_o then_o the_o triple_a square_n of_o the_o root_n and_o the_o triple_a of_o the_o root_n be_v so_o place_v draw_v a_o line_n under_o they_o and_o add_v they_o together_o the_o sum_n be_v 33_o for_o a_o divisor_n then_o let_v the_o whole_a resolvend_n except_o the_o first_o place_n thereof_o towards_o the_o right_a hand_n viz._n the_o place_n of_o unite_v be_v esteem_v as_o a_o dividend_n then_o demand_v how_o often_o the_o first_o figure_n towards_o the_o left_a hand_n of_o the_o divisor_n be_v contain_v in_o the_o correspondent_a part_n of_o the_o dividend_n write_v the_o answer_n in_o the_o quotient_a for_o if_o i_o ask_v how_o many_o time_n three_o in_o 7_o the_o answer_n be_v twice_o therefore_o i_o place_v 2_o in_o the_o quotient_a then_o draw_v another_o line_n under_o the_o work_n and_o multiply_v the_o triple_a square_n before_o subscribe_v under_o 7_o by_o the_o last_o figure_n place_v in_o the_o quotient_a which_o be_v 2_o and_o say_v 2_o time_n 3_o be_v 6_o which_o product_v i_o subscribe_v under_o the_o say_v triple_a square_n viz._n under_o the_o 3_o which_o stand_v under_o the_o 7_o as_o you_o may_v see_v in_o the_o work_n then_o multiply_v the_o

therefore_o i_o cut_v off_o the_o last_o figure_n in_o the_o quotient_a which_o be_v add_v to_o the_o 3_o figure_n in_o the_o divisor_n make_v they_o equal_a to_o the_o fraction_n in_o the_o dividend_n which_o be_v 5_o cipher_n so_o the_o general_a rule_n be_v make_v good_a as_o you_o may_v see_v in_o the_o work_n example_n 2._o to_o divide_v a_o fraction_n by_o a_o whole_a number_n here_o according_a to_o the_o 9th_o note_n i_o prefix_v a_o cypher_n before_o the_o quotient_a there_o be_v after_o the_o division_n be_v finish_v only_a four_o figure_n in_o the_o quotient_a so_o then_o there_o be_v 5_o figure_n in_o the_o dividend_n and_o 5_o in_o the_o quotient_a according_a to_o the_o general_a rule_n as_o you_o may_v see_v in_o the_o work_n example_n 3._o to_o divide_v a_o whole_a number_n and_o a_o fraction_n by_o a_o fraction_n here_o you_o see_v 4_o figure_n be_v cut_v off_o in_o the_o quotient_a which_o with_o the_o 2_o in_o the_o divisor_n make_v 6_o which_o be_v equal_a to_o the_o decimal_a part_n in_o the_o dividend_n according_a to_o the_o general_n rule_n in_o pag._n 37_o aforego_v example_n 4._o to_o divide_v a_o fraction_n by_o a_o whole_a number_n and_o a_o fraction_n here_o be_v 7_o decimal_n in_o the_o dividend_n and_o when_o the_o division_n be_v finish_v there_o be_v 4_o figure_n in_o the_o quotient_a which_o with_o the_o 2_o in_o the_o divisor_n make_v but_o 6_o therefore_o according_a to_o the_o 9th_o note_n i_o prefix_v a_o cypher_n before_o the_o quotient_a on_o the_o left_a hand_n and_o then_o they_o be_v equal_a example_n 5._o to_o divide_v a_o fraction_n by_o a_o fraction_n according_a to_o the_o general_n rule_v i_o cut_v off_o 4_o figure_n to_o the_o right_a hand_n in_o the_o quotient_a which_o make_v those_o in_o the_o divisor_n equal_a to_o those_o in_o the_o dividend_n example_n 6._o to_o divide_v a_o whole_a number_n and_o a_o fraction_n by_o a_o whole_a number_n here_o be_v only_o 2_o figure_n to_o be_v separate_v in_o the_o quotient_a there_o be_v no_o decimal_n in_o the_o divisor_n and_o only_o 2_o in_o the_o dividend_n example_n 7._o to_o divide_v a_o whole_a number_n by_o a_o whole_a number_n and_o a_o fraction_n there_o be_v 7_o decimal_n in_o the_o dividend_n i_o therefore_o cut_v off_o 5_o figure_n in_o the_o quotient_a which_o with_o the_o 2_o in_o the_o divisor_n make_v 7_o according_a to_o the_o general_n rule_n p._n 37._o example_n 8._o to_o divide_v a_o whole_a number_n and_o a_o fraction_n by_o a_o whole_a number_n and_o a_o fraction_n according_a to_o note_n 9th_o in_o pag._n 34_o add_v cipher_n to_o the_o dividend_n and_o when_o the_o work_n be_v finish_v i_o find_v 5_o figure_n in_o the_o quotient_a 3_o of_o which_o must_v be_v cut_v off_o that_o they_o may_v make_v those_o of_o the_o divisor_n 6_o equal_a to_o the_o decimal_n in_o the_o dividend_n according_a to_o the_o rule_n a_o decimal_n table_n of_o penny_n and_o farthing_n pence_n farth_n decimal_n 1_o 0010416_o 2_o 0020833_o 3_o 0031250_o i_o 0041666_o 1_o 0052083_o 2_o 0062500_o 3_o 0072916_o two_o 0083333_o 1_o 0093750_o 2_o 0104166_o 3_o 0114583_o iii_o 0125000_o 1_o 0135416_o 2_o 0145833_o 3_o 0156250_o iv_o 0166666_o 1_o 0177083_o 2_o 0187500_o 3_o 0197916_o five_o 0208333_o 1_o 0218750_o 2_o 0229166_o 3_o 0239583_o vi_o 0250000_o 1_o 0260416_o 2_o 0270833_o 3_o 0281250_o vii_o 0291666_o 1_o 0302083_o 2_o 0312500_o 3_o 0322916_o viii_o 0333333_o 1_o 0343750_o 2_o 0354166_o 3_o 0364583_o ix_o 0375000_o 1_o 0385416_o 2_o 0395833_o 3_o 0406250_o x_o 0416666_o 1_o 0427083_o 2_o 0437500_o 3_o 0447916_o xi_o 0458333_o 1_o 0468750_o 2_o 0479166_o 3_o 0489583_o xii_o 0500000_o 1_o 0510416_o 2_o 0520833_o 3_o 0531250_o xiii_o 0541666_o 1_o 0552083_o 2_o 0562500_o 3_o 0572916_o fourteen_o 0583333_o 1_o 0593750_o 2_o 0604166_o 3_o 0614583_o xv_o 0625000_o 1_o 0635416_o 2_o 0645833_o 3_o 0656250_o xvi_o 0666666_o 1_o 0677083_o 2_o 0687500_o 3_o 0697916_o xvii_o 0708333_o 1_o 0718750_o 2_o 0729166_o 3_o 0739583_o xviii_o 0750000_o 1_o 0760416_o 2_o 0770833_o 3_o 0781250_o xix_o 0791666_o 1_o 0802083_o 2_o 0812500_o 3_o 0822916_o xx_o 0833333_o 1_o 0843750_o 2_o 0854166_o 3_o 0864183_o xxi_o 0875000_o 1_o 0885416_o 2_o 0895833_o 3_o 0906250_o xxii_o 0916666_o 1_o 0927084_o 2_o 0937500_o 3_o 0947916_o xxiii_o 0958333_o 1_o 0968750_o 2_o 0979166_o 3_o 0989583_o xxiv_o 1000000_o a_o table_n of_o decimal_n of_o one_o pound_v sterling_n in_o shilling_n sh._n decim_fw-la 1_o 050000_o 2_o 100000_o 3_o 150000_o 4_o 200000_o 5_o 250000_o 6_o 300000_o 7_o 350000_o 8_o 400000_o 9_o 450000_o 10_o 500000_o 11_o 550000_o 12_o 600000_o 13_o 650000_o 14_o 700000_o 15_o 750000_o 16_o 800000_o 17_o 850000_o 18_o 900000_o 19_o 950000_o 20_o 100000_o 21_o 105000_o 22_o 110000_o 23_o 115000_o 24_o 120000_o 25_o 125000_o 26_o 130000_o 27_o 1350000_o 28_o 1400000_o 29_o 1450000_o 30_o 1500000_o 31_o 1550000_o a_o table_n of_o the_o decimal_n of_o a_o foot_n to_o every_o inch_n and_o eighth_n part_n of_o a_o inch._n inches_n 8_o part._n decimal_n 1_o 001041_o 2_o 002083_o 3_o 003125_o 4_o 004166_o 5_o 005208_o 6_o 006250_o 7_o 007291_o i_o 008333_o 1_o 009375_o 2_o 010416_o 3_o 011458_o 4_o 012500_o 5_o 013541_o 6_o 014583_o 7_o 015625_o two_o 016666_o 1_o 017708_o 2_o 018750_o 3_o 019791_o 4_o 020833_o 5_o 021875_o 6_o 022926_o 7_o 023958_o iii_o 025000_o 1_o 026041_o 2_o 027208_o 3_o 028125_o 4_o 029166_o 5_o 030200_o 6_o 031299_o 7_o 032291_o iv_o 033333_o inch_n 8_o part._n decimal_n 1_o 034385_o 2_o 035416_o 3_o 037395_o 4_o 037499_o 5_o 038541_o 6_o 039583_o 7_o 040625_o five_o 041666_o 1_o 042610_o 2_o 043750_o 3_o 044718_o 4_o 045833_o 5_o 046875_o 6_o 047927_o 7_o 048854_o vi_o 050000_o 1_o 051104_o 2_o 052083_o 3_o 053125_o 4_o 054166_o 5_o 055207_o 6_o 056250_o 7_o 057291_o vii_o 058333_o 1_o 059375_o 2_o 051041_o 3_o 061457_o 4_o 062500_o 5_o 063531_o 6_o 064583_o 7_o 065625_o viii_o 066000_o 1_o 067610_o 2_o 068750_o 3_o 069896_o 4_o 070833_o 5_o 071875_o 6_o 072916_o 7_o 073958_o ix_o 075000_o 1_o 076041_o 2_o 077083_o 3_o 078125_o 4_o 079166_o 5_o 080208_o 6_o 081250_o 7_o 082291_o x_o 083333_o 1_o 084375_o 2_o 085416_o 3_o 086457_o 4_o 087500_o 5_o 088541_o 6_o 089687_o 7_o 090625_o xi_o 091666_o 1_o 092708_o 2_o 093750_o 3_o 094791_o 4_o 095833_o 5_o 096875_o 6_o 097926_o 7_o 098958_o xii_o 100000_o the_o calculate_v of_o this_o table_n be_v by_o divide_v every_o inch_n and_o 8_o part_n by_o 96_o because_o there_o be_v so_o many_o part_n in_o the_o foot_n every_o inch_n be_v divide_v into_o 8_o part_n serve_v to_o reduce_v inch_n and_o 8_o part_n to_o the_o decimal_n of_o a_o foot_n or_o the_o contrary_n a_o explanation_n of_o this_o table_n the_o first_o column_n show_v the_o inch_n and_o eight_o part_n of_o a_o foot_n and_o the_o second_o column_n show_v the_o decimal_a number_n answer_v thereto_o example_n seek_v for_o 11_o inch_n and_o 8_o 4_o or_o a_o half_a in_o the_o first_o column_n and_o in_o the_o next_o you_o will_v find_v the_o decimal_n thereof_o 095833._o chap._n iii_o the_o extraction_n of_o the_o square_a root_n the_o extraction_n of_o the_o square_a root_n be_v that_o by_o which_o have_v a_o number_n give_v another_o number_n may_v be_v find_v which_o be_v multiply_v by_o itself_o produce_v the_o number_n require_v any_o square_a number_n be_v give_v to_o be_v extract_v thus_o it_o may_v be_v prepare_v according_a to_o this_o rule_n put_v a_o point_n over_o the_o first_o place_n thereof_o to_o the_o right_a hand_n be_v the_o place_n of_o unite_v then_o proceed_v towards_o the_o left_a hand_n pass_v over_o the_o second_o place_n and_o put_v a_o point_n over_o the_o three_o place_n also_o pass_v over_o the_o four_o place_n put_v another_o point_n over_o the_o five_o and_o so_o forward_o in_o such_o manner_n that_o between_o every_o two_o point_n which_o be_v next_o one_o to_o another_o so_o that_o one_o place_n may_v be_v intermit_v according_a to_o this_o example_n 630436._o suppose_v the_o square_a root_n of_o this_o number_n be_v require_v the_o first_o point_n be_v to_o be_v place_v over_o 6_o and_z the_o second_o over_z 4_o and_o so_o of_o the_o rest_n as_o you_o see_v in_o the_o example_n and_o note_v that_o as_o many_o point_n as_o be_v place_v in_o that_o manner_n of_o so_o many_o figure_n will_v the_o root_n be_v to_o fit_v it_o for_o operation_n draw_v a_o crooked_a line_n on_o the_o right_a hand_n of_o the_o number_n propound_v for_o extraction_n then_o find_v the_o root_n of_o the_o first_o square_n and_o place_n it_o in_o the_o quotient_a which_o in_o this_o example_n be_v find_v to_o be_v 7_o then_o square_n the_o quotient_n which_o be_v 49_o and_o place_n it_o under_o the_o first_o square_n of_o the_o number_n