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	foot_n	rank_n	10,054	5	12.1046	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 diligent Practizer 6 To finde the Weight of a Sphaere of Tinne at any other Diameter assigned Multiply the Cube of the Diameter giuen by 1216 if it be in inch measure or by 2101 ⌊ 248 if the measure be by decimall parts of a foot and the product will be the weight of that Sphaere And contrariwise to find the Diameter of a Sphaere of Tinne by the weight giuen in graines Diuide the weight giuen in graines by 1216 if you would haue inch measure or by 2101 ⌊ 248 if you would measure by decimall parts of a foot and the quotient shall be the Cube of the Diameter 7. To finde the Weight of a Sphaere of any Mettall at any Diameter giuen either in Inch measure or in decimall parts of a foot First by Sect. 6 seeke the weight of a Sphaere of Tinne at that Diameter then by Sect. 4 say As the proportionall number of Tinne is to the proportionall number of that other Metall so is the weight of the Sphaere of Tinne now found to the weight of the Sphaere proposed Example Suppose a Sphaere of Iron whose Diameter is 3 inches what shall be the weight thereof First the weight of a Sphaere of Tinne of 3 inches Diameter will be found to be 32832 graines Then say 1554 · 1680 ∷ 32832 · 35494 ⌊ 054 graines the weight of the Sphaere proposed 8 To finde the Diameter of a Sphaere of any Metall in inch measure or decimall parts of a foot the weight thereof being giuen First by the contrary of Sect. 6 seeke the Cube of the Diameter of a Sphere of Tinne of that weight Then by Sect. 4 say reciprocally As the proportionall number of that other Metall is to the proportionall number of Tinne so is the Cube of the Diameter now found to the Cube of the Diameter of the Sphaere proposed Example A Sphaere of Iron weigheth 35494 ⌊ 0●4 grains how many inches is the Diameter thereof First the Cube of the Diameter of a Sphere of Tinne of 35494 ⌊ 054 graines weight will be 29 ⌊ 18910695 then say reciprocally 1680 · 1554 ∷ 29 ⌊ 18910691 · 27 The Cubic root whereof is 3 the Diameter of a Sphaere of Iron of that weight proposed CHAP. XI Concerning the Ordering of Soldiers in any kinde of rectangular forme of battaile 1 BAttailes are considered either in respect of the number of men or in respect of the forme of ground As asquare battaile of men is that which hath an equall number of men both in Rank and File though the ground on which they stand bee longer on the File then on the Ranke And a square battaile of ground is that which hath the Ranke as long as the F●le though the men in Ranke be more then in File 2. In respect of the number of men it is called either asquare battaile or a double battaile or a battaile of the grand front which is quadruple or a battaile of any proportion of the number in Ranke to the number in File 3. If it bee asquare battaile of men Extract the quadrat root out of the whole number of men and the same shall be the number of Souldiers to be set in a Ranke Example 576 Souldiers are to bee martialled in a square battaile that so many may be in Ranke as in File Take the quadrat root of 576 which is 24 the same shall be the number to be placed in a Ranke 4. If it be a double battaile of man Extract the quadrat root out of halfe the number of men and the same doubled shall bee the number of Souldiers to bee set in a Ranke Example 1458 Souldiers are to be placed in a double battaile so that twise so many may be in Rank as in File Take halfe the given number 1458 which is 729 the quadrat root whereof is 27 double it and you shall haue 54 men to be placed in a ranke 5. If it be a quadruple battaile which is called of the great front Extract the quadrat root out of one quarter of the number of men and the same quadrupled shall be the number of Souldiers to be set in a ranke Example 1024 Souldiers are to bee martialled into a battaile of the grand front so that fower times so many be in ranke as in file Take one quarter of 1024 the number given which is 256 the quadrat root whereof is 16 quadruple it and you shall haue 64 men to be placed in a ranke 6. If a battaile bee required of any other forme that is if a Ratio be given according to which the number of men in Ranke shall be to the number in file Multiply the two termes of the Ratio given Then say As the product is to the quadrat of the terme which is for the ranke or As the terme which is for the file is to the terme which is for the ranke so is the whole number of Souldiers to the quadrat of the number of men to be placed in a ranke Example 1944 Souldiers are to be martialled so that the number of the ranke be to the number of the file as 8 vnto 3 that is for 8 men in ranke 3 are to be set in file First multiply the two termes of the Ratio 8 and 3 the product whereof is 24 also quadrat 8 the terme of the ranke which will be 64. Then say 3 · 8 ∷ 1944 · 5184 · out of which extract the quadrat root 72 and it will giue you the true number of the ranke 7. In respect of the forme of ground the battaile is either a square of ground or longer one way then the other For the distance or order of Souldiers martialled in array is distinguished either into Open order or Order Open order is when the very centers of their places are distant 7 feet asunder both in ranke and file Order is when the centers of their places are distant 3 feet and a halfe in ranke and so much in file Or else 3 feet and a halfe in ranke and 7 feet in file which last order and whatsoeuer order else there is in which the distance of the rankes one from another is greater then the distance of files causeth that a square of men maketh not a square of ground but the ground is longer on the file then on the ranke 8 If it be a square battaile of ground the centers of the distances being feet 3½ in ranke and 7 feet in file Because 3½ is halfe of 7 the ratio of the distances is as 1 unto 2. And seeing the number in ranke to the number in file is reciprocall to the distances the ratio of the number of men in ranke to the number of men in file shall be as 2 unto 1. And so the Rule shall be the same with that in Sect. 6 namely As the terme of the file is to the terme of the ranke so is the whole number of Souldiers to the true number of the ranke Example 1352 Souldiers are to bee set in a