Selected quad for the lemma: order_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
order_n	file_n	front_n	rank_n	8,296	5	11.6461	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

an Equilaterial Triangle PPP Now divide PP into three parts then take 1 and prick off the Capitals PA c. and the Gorges make equal thereunto as PC PC c. then make the Flanks FC to stand at Right Angles and to be ½ of PC or PA then draw the Faces AF AF c. and the Work is finished as required PROP. X. To fortifie a Square with Demi-Bastions The sides of the Square may be from 100 to 200 Feet let PP be 180 Feet which divide into 3 parts take one for the Gorges PC and for the Capitals PA and prick them off all round as you see then take ⅙ of PP and at Right Angles prick off the Flanks CF then draw the Faces AF AF c. and the Figure is compleated PROP. XI To fortifie a Parallelogram with Demi-Bastions and Tong. First describe the Parallelogram or LongSquare PPPP then divide PP into 6 parts the side on which the Tong or Tenaile is placed and make MC equal unto ⅙ thereof and also MG and MH Draw CG GC and CH HC then finish the Demi-Bastions as before so shall the Work be compleated as was required A Long Square may also be fortified as Fig. the 77. PROP. XII To fortifie a Star Redoubt of 4 5 or 6 Points 1. A Star Redoubt of four points may have his side from 40 to 60 Feet First describe the Square PPPP then divide PP into two parts at M take ¼ of PM and by prop. 1. § 1. ch 4. raise Perpendiculars round at M make MA equal to ¼ of PM and draw all as in the Figure 2. A Star Redoubt of five points is thus fortified Describe the Pentagon PP c. then divide PP into halves at M raise the Perpendiculars MA make MA equal to ⅓ of PM and draw the Fort in all respects as the Figure representeth 3. A Star Redoubt of six points is thus fortified Describe the Hexagon PPP c. divide PP into two equal parts at M then raise Perpendiculars at the M' s then make MA equal to ½ of PM or ¼ of PP and draw every respective line as you see in the Figure PROP. XIII To Delineate a Plain Redoubt Plain Redoubts are called Grand Redoubts which are used as Batteries in Approaches whose side may be from 60 to 80 Feet or Petit Redoubt which are used for a Court of Guards in the Trenches and may be from 20 to 50 Feet and are framed and delineated in all respects as you see in Fig 90. The Profile's to be set on these several Works and the Motes are alterable and uncertain for they being sometimes used in Approaches then they do require the Breast-work at the Bottom to be 7 or 8 Foot wide and the Interior Height 6 and the Exterior 5 Feet and the Mote to be either 8 10 or 12 Feet sometimes 14 or 20 Feet wide at the bottom and the height of 7 8 or 9 Feet to have two or three ascents to rise to the Parapet There are many other things belonging to this Art which the limitation I am bound to will not permit here to be treated of CHAP. XIV Of Military Orders or the Embattelling and Encamping of Souldiers SECT I. Of the Embattelling and Ordering of Souldiers BATTAILS are considered either in respect of the number of Men or in respect of the form of Ground In the respect of the number of Men it is either a Square Battail a Double Battail a Battail of the Grand Front or a Battail of any proportion of the number in Rank to the number in File In respect of the form of the Ground the Battail is either a Geometrical Square of Ground or a long Square of Ground For the Distance or Order of Souldiers martialled in Array is distinguished either into Open Order which is when the Centers of their places are 7 Feet distant assuunder both in Rank and File or Order which is when the Centers of the places are 3 ½ Feet distant both in Rank and File or else 3 ½ Feet in Rank and 7 Feet in File PROP. I. To Order any number of Souldiers into a Square Battail of Men. Admit it were required to Martial into a Square Battail 16129 Men To doe which extract the Square Root of 16129 by prop. 8. § 1. chap. 1. which is 127 therefore you are to place 127 Men in Rank and also in File PROP. II. To Order any number of Souldiers into a Double Battail Admit 16928 Men were to be Martialled into a Double Battail extract the Root of half the number of Men i. e. of 8464 whose Root is 92 therefore I say that 92 Men must be placed in File and 184 in Rank to order that number of Men propounded into a Double Battail Plate VII Page 302 PROP. III. To Order any number of Souldiers into a Battail of the Grand Front. Admit 16900 Souldiers were to be Martialled into a Battail of the Grand Front that is Quadruple Extract the Square Root of 4225 that is ¼ of the Men the Root is 65 therefore I say 65 must be placed in File and 260 in Rank to form a Battail of the Grand Front. PROP. IV. Any number of Men together with their distance in Rank and File being propounded to Order them into a Square Battail of Ground Admit 2500 Souldiers were to be Martialled into a Square Battail of Ground in such sort that their distance in File should be 7 feet and in Rank 3 feet and 't is required to know how many Men must be placed in Rank and in File to draw up 2500 Men into Square Battail of the Ground According to prop. 1. § 1. ch 1. say As 7 to 3 So is 2500 to 1071 c. whose Square Root is 32 c. Therefore I say 32 Men are to be placed in File Now to find how many Men are to be placed in Rank divide 2500 by 32 the Quotient is 78 which are the number of Men to be placed in Rank and 4 Men to be disposed elsewhere PROP. V. Any number of Souldiers propounded to Order them in Rank and File according to the reason of any two Numbers given Admit 6400 Souldiers are to be Martialled into Array in such Order that the number of Men placed in File shall bear such proportion to the number in Rank as 7 to 13 according to prop. 1. § 1. chap. 1. say as 7 to 13 so is 6400 to 11885 c. whose Square Root is 109 c. the number of Men to be placed in Rank by which divide 6400 it produces 58 c. the number of Men to be placed in File and 78 Men to be employed elsewhere SECT II. Of Castermetation or Quartering and Encamping of Souldiers IN Quartering and Encamping of Souldiers it is requisite the Quarter-Master General and all other under Quarter-Masters be skilled at Foot measure that so they may lay out their Quarters as directed The common allowance for the depth of Ground that a