Selected quad for the lemma: order_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
order_n	distance_n	double_a	file_n	5,671	5	13.6545	5	true

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A64224	Thesaurarium mathematicae, or, The treasury of mathematicks containing variety of usefull practices in arithmetick, geometry, trigonometry, astronomy, geography, navigation and surveying ... to which is annexed a table of 10000 logarithms, log-sines, and log-tangents / by John Taylor.	Taylor, John, mathematician.	1687 (1687)	Wing T534; ESTC R23734	190,995	514

a_o equilaterial_a triangle_n ppp_n 84._o now_o divide_v pp_n into_o three_o part_n then_o take_v 1_o and_o prick_v off_o the_o capital_n pa_n etc._n etc._n and_o the_o gorges_n make_v equal_a thereunto_o as_o pc_n pc_n etc._n etc._n then_o make_v the_o flank_n fc_a to_o stand_v at_o right_a angle_n and_o to_o be_v ½_o of_o pc_n or_o pa_n then_o draw_v the_o face_n of_o of_o etc._n etc._n and_o the_o work_n be_v finish_v as_o require_v prop._n x._o to_o fortify_v a_o square_a with_o demibastions_a the_o side_n of_o the_o square_n may_v be_v from_o 100_o to_o 200_o foot_n let_v pp_n be_v 180_o foot_n which_o divide_v into_o 3_o part_n take_v one_o for_o the_o gorges_n pc_n and_o for_o 85._o the_o capital_n pa_n and_o prick_v they_o off_o all_o round_a as_o you_o see_v then_o take_v ⅙_n of_o pp_n and_o at_o right_a angle_n prick_v off_o the_o flank_n cf_n then_o draw_v the_o face_n of_o of_o etc._n etc._n and_o the_o figure_n be_v complete_v prop._n xi_o to_o fortify_v a_o parallelogram_n with_o demibastions_a and_o tong._n first_o describe_v the_o parallelogram_n or_o longsquare_n pppp_n then_o divide_v pp_n into_o 6_o part_n the_o side_n on_o which_o the_o tongue_n or_o tenaile_n be_v place_v and_o make_v mc_n equal_a unto_o ⅙_n thereof_o and_o also_o mg_n and_o mh_o draw_v cg_n gc_n and_o ch_z hc_n 86._o then_o finish_v the_o demibastions_a as_o before_o so_o shall_v the_o work_n be_v complete_v as_o be_v require_v a_o long_a square_n may_v also_o be_v fortify_v as_o fig._n the_o 77._o prop._n xii_o to_o fortify_v a_o star_n redoubt_n of_o 4_o 5_o or_o 6_o point_n 1._o a_o star_n redoubt_n of_o four_o point_n may_v have_v his_o side_n from_o 40_o to_o 60_o foot_n first_o describe_v the_o square_a pppp_n then_o divide_v pp_n into_o two_o part_n at_o m_n take_v ¼_n of_o pm_n and_o by_o prop._n 1._o 1._o 1._o ch_n 4._o 87._o raise_v perpendicular_n round_o at_o m_o make_v ma_fw-fr equal_a to_o ¼_n of_o pm_n and_o draw_v all_o as_o in_o the_o figure_n 2._o a_o star_n redoubt_n of_o five_o point_n be_v thus_o fortify_v describe_v the_o pentagon_n pp_n etc._n etc._n then_o divide_v pp_n into_o half_n at_o m_n raise_v the_o perpendicular_o ma_n make_v ma_fw-fr equal_a to_o ⅓_n of_o pm_n and_o draw_v the_o fort_n 88_o in_o all_o respect_n as_o the_o figure_n represent_v 3._o a_o star_n redoubt_n of_o six_o point_n be_v thus_o fortify_v describe_v the_o hexagon_n ppp_n etc._n etc._n divide_v pp_n into_o two_o equal_a part_n at_o m_n then_o raise_v perpendicular_o at_o the_o my_o s_o then_o make_v ma_fw-fr equal_a to_o ½_o of_o pm_n 89._o or_o ¼_n of_o pp_n and_o draw_v every_o respective_a line_n as_o you_o see_v in_o the_o figure_n prop._n xiii_o to_o delineate_v a_o plain_a redoubt_n plain_a redoubt_n be_v call_v grand_a redoubt_n which_o be_v use_v as_o battery_n in_o approach_n who_o side_n may_v be_v from_o 60_o to_o 80_o foot_n or_o petit_fw-fr redoubt_n 90._o which_o be_v use_v for_o a_o court_n of_o guard_n in_o the_o trench_n and_o may_v be_v from_o 20_o to_o 50_o foot_n and_o be_v frame_v and_o delineate_v in_o all_o respect_n as_o you_o see_v in_o fig_n 90._o the_o profile_n to_o be_v set_v on_o these_o several_a work_n and_o the_o mote_n be_v alterable_a and_o uncertain_a for_o they_o be_v sometime_o use_v in_o approach_n then_o they_o do_v require_v the_o breast-work_n at_o the_o bottom_n to_o be_v 7_o or_o 8_o foot_n wide_a and_o the_o interior_n height_n 6_o and_o the_o exterior_a 5_o foot_n and_o the_o mote_n to_o be_v either_o 8_o 10_o or_o 12_o foot_n sometime_o 14_o or_o 20_o foot_n wide_a at_o the_o bottom_n and_o the_o height_n of_o 7_o 8_o or_o 9_o foot_n to_o have_v two_o or_o three_o ascent_n to_o rise_v to_o the_o parapet_n there_o be_v many_o other_o thing_n belong_v to_o this_o art_n which_o the_o limitation_n i_o be_o bind_v to_o will_v not_o permit_v here_o to_o be_v treat_v of_o chap._n fourteen_o of_o military_a order_n or_o the_o embattel_v and_o encamp_v of_o soldier_n sect_n i._o of_o the_o embattel_v and_o order_v of_o soldier_n 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 in_o the_o respect_n of_o the_o number_n of_o man_n it_o be_v either_o a_o square_a battle_n a_o double_a battle_n a_o battle_n of_o the_o grand_a front_n or_o a_o battle_n of_o any_o proportion_n of_o the_o number_n in_o rank_a to_o the_o number_n in_o file_n in_o respect_n of_o the_o form_n of_o the_o ground_n the_o battle_n be_v either_o a_o geometrical_a square_n of_o ground_n or_o a_o long_a square_n of_o ground_n 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 which_o be_v when_o the_o centre_n of_o their_o place_n be_v 7_o foot_n distant_a assuunder_n both_o in_o rank_n and_o file_n or_o order_n which_o be_v when_o the_o centre_n of_o the_o place_n be_v 3_o ½_o foot_n distant_a both_o in_o rank_n and_o file_n or_o else_o 3_o ½_o foot_n in_o rank_n and_o 7_o foot_n in_o file_n prop._n i._o to_o order_n any_o number_n of_o soldier_n into_o a_o square_a battle_n of_o men._n admit_v it_o be_v require_v to_o martial_a into_o a_o square_a battle_n 16129_o man_n to_o do_v which_o extract_n the_o square_a root_n of_o 16129_o by_o prop._n 8._o 8._o 1._o chap._n 1._o which_o be_v 127_o therefore_o you_o be_v to_o place_v 127_o man_n in_o rank_n and_o also_o in_o file_n prop._n ii_o to_o order_n any_o number_n of_o soldier_n into_o a_o double_a battle_n admit_v 16928_o man_n be_v to_o be_v martial_v into_o a_o double_a battle_n extract_v the_o root_n of_o half_a the_o number_n of_o man_n i._n e._n of_o 8464_o who_o root_n be_v 92_o therefore_o i_o say_v that_o 92_o man_n must_v be_v place_v in_o file_n and_o 184_o in_o rank_n to_o order_v that_o number_n of_o man_n propound_v into_o a_o double_a battle_n plate_n vii_o page_n 302_o prop._n iii_o to_o order_n any_o number_n of_o soldier_n into_o a_o battle_n of_o the_o grand_a front._n admit_v 16900_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 that_o be_v quadruple_a extract_v the_o square_a root_n of_o 4225_o that_o be_v ¼_n of_o the_o man_n the_o root_n be_v 65_o therefore_o i_o say_v 65_o must_v be_v place_v in_o file_n and_o 260_o in_o rank_n to_o form_v a_o battle_n of_o the_o grand_a front._n prop._n iu._n any_o number_n of_o man_n together_o with_o their_o distance_n in_o rank_n and_o file_n be_v propound_v to_o order_n they_o into_o a_o square_a battle_n of_o ground_n admit_v 2500_o soldier_n be_v to_o be_v martial_v into_o a_o square_a battle_n of_o ground_n in_o such_o sort_n that_o their_o distance_n in_o file_n shall_v be_v 7_o foot_n and_o in_o rank_n 3_o foot_n and_o it_o be_v require_v to_o know_v how_o many_o man_n must_v be_v place_v in_o rank_n and_o in_o file_n to_o draw_v up_o 2500_o man_n into_o square_a battle_n of_o the_o ground_n according_a to_o prop._n 1._o 1._o 1._o ch_n 1._o say_v as_o 7_o to_z 3_o so_o be_v 2500_o to_o 1071_o etc._n etc._n who_o square_a root_n be_v 32_o etc._n etc._n therefore_o i_o say_v 32_o man_n be_v to_o be_v place_v in_o file_n now_o to_o find_v how_o many_o man_n be_v to_o be_v place_v in_o rank_n divide_v 2500_o by_o 32_o the_o quotient_n be_v 78_o which_o be_v the_o number_n of_o man_n to_o be_v place_v in_o rank_n and_o 4_o man_n to_o be_v dispose_v elsewhere_o prop._n v._o any_o number_n of_o soldier_n propound_v to_o order_n they_o in_o rank_n and_o file_n according_a to_o the_o reason_n of_o any_o two_o number_n give_v admit_v 6400_o soldier_n be_v to_o be_v martial_v into_o array_n in_o such_o order_n that_o the_o number_n of_o man_n place_v in_o file_n shall_v bear_v such_o proportion_n to_o the_o number_n in_o rank_a as_o 7_o to_z 13_o according_a to_o prop._n 1._o 1._o 1._o chap._n 1._o say_v as_o 7_o to_o 13_o so_o be_v 6400_o to_o 11885_o etc._n etc._n who_o square_a root_n be_v 109_o etc._n etc._n the_o number_n of_o man_n to_o be_v place_v in_o rank_n by_o which_o divide_v 6400_o it_o produce_v 58_o etc._n etc._n the_o number_n of_o man_n to_o be_v place_v in_o file_n and_o 78_o man_n to_o be_v employ_v elsewhere_o sect_n ii_o of_o castermetation_n or_o quarter_a and_o encamp_v of_o soldier_n in_o quarter_a and_o encamp_v of_o soldier_n it_o be_v requisite_a the_o quartermaster_n general_n and_o all_o other_o under_o quarter-master_n be_v skill_v at_o foot_n measure_n that_o so_o they_o may_v lay_v out_o their_o quarter_n as_o direct_v the_o common_a allowance_n for_o the_o depth_n of_o ground_n that_o a_o