Selected quad for the lemma: order_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
order_n	open_a	open_v	rank_n	12,438	5	12.7016	5	true

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A08582	The circles of proportion and the horizontal instrument The former shewing the maner how to work proportions both simple and compound: and the ready and easy resolving of quæstions both in arithmetic, geometrie, & astronomie: and is newly increased with an additament for navigation. All which rules may also be wrought with the penne by arithmetic, and the canon of triangles. The later teaching how to work most quæstions, which may be performed by the globe: and to delineat dialls upon any kind of plaine. Invented, and written in latine by W.O. Translated into English, and set out for the public benefit, by William Forster.	Oughtred, William, 1575-1660.; Forster, William, mathematician.; Oughtred, William, 1575-1660. Addition unto the use of the circles of proportion. aut	1633 (1633)	STC 18899B; ESTC S120820	74,822	159

the_o diligent_a practizer_n 6_o to_o find_v the_o weight_n of_o a_o sphere_n of_o tin_n at_o any_o other_o diameter_n assign_v multiply_v the_o cube_n of_o the_o diameter_n give_v by_o 1216_o if_o it_o be_v in_o inch_n measure_n or_o by_o 2101_o ⌊_o 248_o if_o the_o measure_n be_v by_o decimall_n part_n of_o a_o foot_n and_o the_o product_n will_v be_v the_o weight_n of_o that_o sphere_n and_o contrariwise_o to_o find_v the_o diameter_n of_o a_o sphere_n of_o tin_n by_o the_o weight_n give_v in_o grain_n divide_v the_o weight_n give_v in_o grain_n by_o 1216_o if_o you_o will_v have_v inch_n measure_n or_o by_o 2101_o ⌊_o 248_o if_o you_o will_v measure_v by_o decimall_n part_n of_o a_o foot_n and_o the_o quotient_n shall_v be_v the_o cube_n of_o the_o diameter_n 7._o to_o find_v the_o weight_n of_o a_o sphere_n of_o any_o mettle_n at_o any_o diameter_n give_v either_o in_o inch_n measure_n or_o in_o decimall_n part_n of_o a_o foot_n first_o by_o sect._n 6_o seek_v the_o weight_n of_o a_o sphere_n of_o tin_n at_o that_o diameter_n then_o by_o sect._n 4_o say_v as_o the_o proportional_a number_n of_o tin_n be_v to_o the_o proportional_a number_n of_o that_o other_o metal_n so_o be_v the_o weight_n of_o the_o sphere_n of_o tin_n now_o find_v to_o the_o weight_n of_o the_o sphere_n propose_v example_n suppose_v a_o sphere_n of_o iron_n who_o diameter_n be_v 3_o inch_n what_o shall_v be_v the_o weight_n thereof_o first_o the_o weight_n of_o a_o sphere_n of_o tin_n of_o 3_o inch_n diameter_n will_v be_v find_v to_o be_v 32832_o grain_n then_o say_v 1554_o ·_o 1680_o ∷_o 32832_o ·_o 35494_o ⌊_o 054_o grain_n the_o weight_n of_o the_o sphere_n propose_v 8_o to_o find_v the_o diameter_n of_o a_o sphere_n of_o any_o metal_n in_o inch_n measure_n or_o decimall_n part_n of_o a_o foot_n the_o weight_n thereof_o be_v give_v first_o by_o the_o contrary_a of_o sect._n 6_o seek_v the_o cube_n of_o the_o diameter_n of_o a_o sphere_n of_o tin_n of_o that_o weight_n then_o by_o sect._n 4_o say_v reciprocal_o as_o the_o proportional_a number_n of_o that_o other_o metal_n be_v to_o the_o proportional_a number_n of_o tin_n so_o be_v the_o cube_n of_o the_o diameter_n now_o find_v to_o the_o cube_n of_o the_o diameter_n of_o the_o sphere_n propose_v example_n a_o sphere_n of_o iron_n weigh_v 35494_o ⌊_o 0●4_n grain_n how_o many_o inch_n be_v the_o diameter_n thereof_o first_o the_o cube_n of_o the_o diameter_n of_o a_o sphere_n of_o tin_n of_o 35494_o ⌊_o 054_o grain_n weight_n will_v be_v 29_o ⌊_o 18910695_o then_o say_v reciprocal_o 1680_o ·_o 1554_o ∷_o 29_o ⌊_o 18910691_o ·_o 27_o the_o cubic_n root_n whereof_o be_v 3_o the_o diameter_n of_o a_o sphere_n of_o iron_n of_o that_o weight_n propose_v chap._n xi_o concern_v the_o order_v of_o soldier_n in_o any_o kind_n of_o rectangular_a form_n of_o battle_n 1_o battle_n be_v consider_v either_o in_o respect_n of_o the_o number_n of_o man_n or_o in_o respect_n of_o the_o form_n of_o ground_n as_o asquare_n battle_n of_o man_n be_v that_o which_o have_v a_o equal_a number_n of_o man_n both_o in_o rank_n and_o file_n though_o the_o ground_n on_o which_o they_o stand_v be_v long_o on_o the_o file_n then_o on_o the_o rank_n and_o a_o square_a battle_n of_o ground_n be_v that_o which_o have_v the_o rank_n as_o long_o as_o the_o f●le_n though_o the_o man_n in_o rank_n be_v more_o than_o in_o file_n 2._o in_o respect_n of_o the_o number_n of_o man_n it_o be_v call_v either_o asquare_n battle_n or_o a_o double_a battle_n or_o a_o battle_n of_o the_o grand_a front_n which_o be_v quadruple_a or_o a_o battle_n of_o any_o proportion_n of_o the_o number_n in_o rank_n to_o the_o number_n in_o file_n 3._o if_o it_o be_v asquare_n battle_n of_o man_n extract_v the_o quadrat_fw-la root_n out_o of_o the_o whole_a number_n of_o man_n and_o the_o same_o shall_v be_v the_o number_n of_o soldier_n to_o be_v set_v in_o a_o rank_n example_n 576_o soldier_n be_v to_o be_v martial_v in_o a_o square_a battle_n that_o so_o many_o may_v be_v in_o rank_n as_o in_o file_n take_v the_o quadrat_fw-la root_n of_o 576_o which_o be_v 24_o the_o same_o shall_v be_v the_o number_n to_o be_v place_v in_o a_o rank_n 4._o if_o it_o be_v a_o double_a battle_n of_o man_n extract_v the_o quadrat_fw-la root_n out_o of_o half_a the_o number_n of_o man_n and_o the_o same_o double_a shall_v be_v the_o number_n of_o soldier_n to_o be_v set_v in_o a_o rank_n example_n 1458_o soldier_n be_v to_o be_v place_v in_o a_o double_a battle_n so_o that_o twice_o so_o many_o may_v be_v in_o rank_a as_o in_o file_n take_v half_o the_o give_v number_n 1458_o which_o be_v 729_o the_o quadrat_fw-la root_n whereof_z be_v 27_o double_v it_o and_o you_o shall_v have_v 54_o man_n to_o be_v place_v in_o a_o rank_n 5._o if_o it_o be_v a_o quadruple_a battle_n which_o be_v call_v of_o the_o great_a front_n extract_v the_o quadrat_fw-la root_n out_o of_o one_o quarter_n of_o the_o number_n of_o man_n and_o the_o same_o quadruple_v shall_v be_v the_o number_n of_o soldier_n to_o be_v set_v in_o a_o rank_n example_n 1024_o soldier_n be_v to_o be_v martial_v into_o a_o battle_n of_o the_o grand_a front_n so_o that_o four_o time_n so_o many_o be_v in_o rank_n as_o in_o file_n take_v one_o quarter_n of_o 1024_o the_o number_n give_v which_o be_v 256_o the_o quadrat_fw-la root_n whereof_z be_v 16_o quadruple_a it_o and_o you_o shall_v have_v 64_o man_n to_o be_v place_v in_o a_o rank_n 6._o if_o a_o battle_n be_v require_v of_o any_o other_o form_n that_o be_v if_o a_o ratio_fw-la be_v give_v according_a to_o which_o the_o number_n of_o man_n in_o rank_n shall_v be_v to_o the_o number_n in_o file_n multiply_v the_o two_o term_n of_o the_o ratio_fw-la give_v then_o say_v as_o the_o product_n be_v to_o the_o quadrat_fw-la of_o the_o term_n which_o be_v for_o the_o rank_n or_o as_o the_o term_n which_o be_v for_o the_o file_n be_v to_o the_o term_n which_o be_v for_o the_o rank_n so_o be_v the_o whole_a number_n of_o soldier_n to_o the_o quadrat_fw-la of_o the_o number_n of_o man_n to_o be_v place_v in_o a_o rank_n example_n 1944_o soldier_n be_v to_o be_v martial_v so_o that_o the_o number_n of_o the_o rank_n be_v to_o the_o number_n of_o the_o file_n as_o 8_o unto_o 3_o that_o be_v for_o 8_o man_n in_o rank_n 3_o be_v to_o be_v set_v in_o file_n first_o multiply_v the_o two_o term_n of_o the_o ratio_fw-la 8_o and_o 3_o the_o product_n whereof_o be_v 24_o also_o quadrat_fw-la 8_o the_o term_n of_o the_o rank_n which_o will_v be_v 64._o then_o say_v 3_o ·_o 8_o ∷_o 1944_o ·_o 5184_o ·_o out_o of_o which_o extract_v the_o quadrat_fw-la root_n 72_o and_o it_o will_v give_v you_o the_o true_a number_n of_o the_o rank_n 7._o in_o respect_n of_o the_o form_n of_o ground_n the_o battle_n be_v either_o a_o square_a of_o ground_n or_o long_o one_o way_n then_o the_o other_o for_o the_o distance_n or_o order_n of_o soldier_n martial_v in_o array_n be_v distinguish_v either_o into_o open_a order_n or_o order_n open_v order_n be_v when_o the_o very_a centre_n of_o their_o place_n be_v distant_a 7_o foot_n asunder_o both_o in_o rank_n and_o file_n order_n be_v when_o the_o centre_n of_o their_o place_n be_v distant_a 3_o foot_n and_o a_o half_a in_o rank_n and_o so_o much_o in_o file_n or_o else_o 3_o foot_n and_o a_o half_a in_o rank_n and_o 7_o foot_n in_o file_n which_o last_o order_n and_o whatsoever_o order_n else_o there_o be_v in_o which_o the_o distance_n of_o the_o rank_n one_o from_o another_o be_v great_a than_o the_o distance_n of_o file_n cause_v that_o a_o square_a of_o man_n make_v not_o a_o square_a of_o ground_n but_o the_o ground_n be_v long_o on_o the_o file_n then_o on_o the_o rank_n 8_o if_o it_o be_v a_o square_a battle_n of_o ground_n the_o centre_n of_o the_o distance_n be_v foot_n 3½_n in_o rank_n and_o 7_o foot_n in_o file_n because_o 3½_n be_v half_a of_o 7_o the_o ratio_fw-la of_o the_o distance_n be_v as_o 1_o unto_o 2._o and_o see_v the_o number_n in_o rank_n to_o the_o number_n in_o file_n be_v reciprocal_a to_o the_o distance_n the_o ratio_fw-la of_o the_o number_n of_o man_n in_o rank_n to_o the_o number_n of_o man_n in_o file_n shall_v be_v as_o 2_o unto_o 1._o and_o so_o the_o rule_n shall_v be_v the_o same_o with_o that_o in_o sect._n 6_o namely_o as_o the_o term_n of_o the_o file_n be_v to_o the_o term_n of_o the_o rank_n so_o be_v the_o whole_a number_n of_o soldier_n to_o the_o true_a number_n of_o the_o rank_n example_n 1352_o soldier_n be_v to_o be_v set_v in_o a_o