Selected quad for the lemma: enemy_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
enemy_n	foot_n	horse_n	squadron_n	1,059	5	11.6685	5	false

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A74684	The scales of commerce and trade: ballancing betwixt the buyer and seller, artificer and manufacture, debitor and creditor, the most general questions, artificiall rules, and usefull conclusions incident to traffique: comprehended in two books. The first states the ponderates to equity and custome, all usuall rules, legall bargains and contracts, in wholesale ot [sic] retaile, with factorage, returnes, and exchanges of forraign coyn, of interest-money, both simple and compounded, with solutions from naturall and artificiall arithmetick. The second book treats of geometricall problems and arithmeticall solutions, in dimensions of lines, superficies and bodies, both solid and concave, viz. land, wainscot, hangings, board, timber, stone, gaging of casks, military propositions, merchants accounts by debitor and creditor; architectonice, or the art of building. / By Thomas Willsford Gent.	Willsford, Thomas.	1660 (1660)	Wing W2876; Thomason E1748_1; Thomason E1748_2; ESTC R209647	103,352	283

the thunder and lightning from which good Lord deliver us This tract I will leave and return to such Propositions as may be exactly peformed by Arithmetick and founded upon Demonstration Compendious Rules for marshalling of Souldiers in any rectangular form of battel either in one body or in several Squadrons or Regiments Definitions Battels are considered in two several respects one depending upon the number of men to be put into a Military array the other reflects upon the ground on which the Battalios are to be ordered A square battel of men hath an equal number both in rank and file yet the ground in such cases longer on the file then upon the rank A square battel in respect of the ground hath the rank and file equal in length yet the number of men in rank exceeding those in file In respect of the men to be drawn forth in battalio it is either termed a square battel or in proportion as the men in rank to the number of those in file PROPOSITION III. If a square battel of men be required of any number whatsoever the Quadrat root extracted from the list or number of Souldiers delivered in shews the number to be marshalled either in rank or file As for example a Serjeant Major delivers in a list of 22500 souldiers to be ordered in a square battel of men the quadrat root of that number is 150 and so many must there be placed in rank and so many likewise in file lib. 2. parag 1. examp 2. Arith. PROPOSITION IV. If the difference of the men in rank to those in file should be in any proportion required observe these Rules RULE 1. As the term which is given for men in file Shall be to the term propounded for the rank So will the number marshalled in this Array Be in proportion to the root or men in rank RULE 2. As the term propounded for men in rank Shall be unto the term which is for the file So will the whole number of souldiers marshalled Be in proportion to the square root for those in file As for example 20184 souldiers are to be ordered in battel of array in such proportion between the rank and file as 8 to 3 that is as 8 men in rank for 3 in file therefore 20184 the number of souldiers multiplied by 8 and divided by 3 the quotient will be 53824 the quadrat root of it will be 232 as in the first table for the number of men to be placed in rank the number for the file is found if you divide 20184 by 232 the quotient will be 87 or by the second rule to find the men in file as 8 the term for the rank unto 20184 the number of souldiers so will 3 the term for the file be in a direct proportion unto 7569 the quadrat root will be 87 for the number of men in file according to the second table in the margent PROPOSITION V. To marshal in battalio any number of Souldiers when there is a double proportion stated as in respect of the men and ground both for the rank and file The RULE As the product of the two terms for the Rank Shall be in proportion to the number of Souldiers So will the product of the two for the File Be to a fourth number whose square root is the File For the illustration of this Proposition suppose the number of soldiers to be marshalled near 41160 in this order and proportion viz. as for 3 in rank 7 in file and in respect of the ground as 2 is in proportion to 5 the products of these terms are 6 and 35. then say as 6 is to 35 so will 41160 be unto 240100 whose square root will be 490 as in the first table with which divide the list of souldiers given viz 41160 the quotient will be 84 the true number of men both in rank and file or by the second table as 35 is to 6 so will 41160 be in proportion to 7056 the root 84 or with this divide the list of souldiers the quotient will be 490 as before and so in all questions of this kind by the rank found you may find the file and the contrary PROPOSITION VI. If an Army were drawn out in their particular Regiments and those again divided into several squadrons with their depth and proportion both in rank and file This Proposition although of most use depends upon the former for having the number of Regiments or lift of the army they may be reduced into little squadrons as the Maj. Gen. shall think fit and then marshal those according to order in what proportion shall be required betwixt the rank and file by one of the 3 last Propositions of which I have given you examples not according to custom or the Military Discipline practised in any place but whereby you may solve any question of this kind and not as precedents but rules onely for the Foot squadrons 10 deep is the most that I have heard of the usuall custom in Europe is 6 deep for the Foot and 3 for the Horse when they charge the Enemy PROPOSITION VII For the incamping of Souldiers in their severall quarters For a quartering of Souldiers in the field it is performed by the common rule of Three as for example suppose a Regiment of 1000 men may be quartered in a square of ground containing 20 perches what shall the side of a square be to lodge a greater or lesser number the proportion will be as 1000 to 400 perches so shall any number of souldiers be to a proportional square of ground whose quadrat root is the side required and for example admit the number of souldiers were 24000 then say as 1000 men is to 400 the square of 20 pole so 24000 men wil be in proportion to 9600 the quad root of it in a decimal fraction is 97 ● 10 perches the side of a square that will incamp those men according to the proportion given but here are sundry occurrences to be consulted on which must be referred to the experienced Master de Campo to marshal up together as in respect of the enemy the Campanio the advantage of ground the securing of passages and multitudes of other things to be considered in preserving the Army so well as when ingaged in fight by reserves or how to draw off and make retreats c. depending more upon the practise then any Theory or prescription of Rules PROPOSITION VIII The perpendicular height of any Tower or other place being given to find at any distance appointed from the basis thereof how long any scaling ladder or rope extended must be to reach the top or summity of it According to the state of this question the rope or ladder will include a right-angled triangle and by the second Probleme of this book the quadrat root extracted from the summe of the squares made of the two containing sides will be equal to the Hypothenusal which is the ladder or length of the rope

also in the same proportion so the square of 3 is 9 which multiplied by 4 produceth 36 the quadrat root of it is 6 inches the circumference of the Rope required PROPOSITION XIX By knowing the weight of a fathom of any Rope to finde the weight of another either greater or lesser A Rope in compasse 4 inches and every fathom of it admit does weigh 3 lb how much shall a Coyler Rope weigh that is 6 inches in circumference which two circumferences if multiplied by 7 they would retain the same proportion and so likewise if those products were divided by 22 as in lib. 2. parag 7. axiom 13. Arith. then institute the rule of Three with the circumferences given and squared viz. as 16 shall be to 3 lb weight for a fathom of that Rope so will the greater square 36 be in proportion unto 6 ¾ lb that is 6 lb and 12 ounces for the weight of each fathom of that Coyler rope whose circumference was 6 inches the thing required Many such propositions the Gunners do us● which for brevity I here omit supposing these m●y suffice young practitioners so with strong hopes and a slight fortification I will conclude this work PROPOSITION XX. A Mount or Plat-form is to be raised for battery on which the great guns are to be mounted the General commands the Captain of the Pyoners to draw a trench about it as he and the Engineers should conceive convenient which according to order was thus design'd the Plat-form set out 4 square 70 ●aces on every side at the line or verge of this Trench where the labourers first break ground 16 feet over to be 10 feet broad at the bottom and 8 feet deep the turf to be orderly laid at the brim and the earth digg'd out of the Trench disposed of within that for a wall to raise the Ordnance and defend the men within the Wo●ks which wall is ordered to be made 21 feet at bottom and 18 feet broad at the top The query is how high the wall will be made of the earth digg'd out and how many cubical yards is in the said Trench and what the labourers work may be worth if paid by the great or task-work The breadth of this Trench at the brim is 16 feet at the bottom 10 the summe 26 feet the half 13 which multi●lied by 8 feet the depth of the said Trench the product will be 104 superficial square feet the wall to be made is to be in thickness 18 and 21 feet the Arithmetical medium 19 ½ or ●● 2 a● in lib. 2. parag 5. theo●em 1. Arith. with which divide 104 the quotient will be 5 feet 4 inches the true height of the wall required The square of this Platform is 72 Geometrical ●aces that is 350 feet and the 4 sides contains in extent 1400 feet which multiplied by the square made of the Trenches breadth and depth as before found 104 feet the product will be 145600 cubical feet at each corner of these Trenches there will be a Pyramidal Segment reverst with the greater end upwards whose mean square is 13 feet as is the Trench the quadrat of it 169 which multiplied by 8 the depth produceth 1352 cubical feet 4 times that for the 4 corners will be 5408. this added to the former summe 145600 the total will be 151008 cubical feet which divided by 27 the quotient proves 5592 cubical yards contained in the whole trench which at 6 D the yard to dig and carry on to the works comes unto in money 139 L 16 ss the true manner of measuring a Segment and likewise the fraction in the last division was neglected as unnecessary in these gross works Each of these Segments contains 50 cubical yards of earth which may raise a Rampire Sconce or Bulwark at each angle of the Platform 6 feet higher 16 feet square at the bottom an● 14 f●e● a● the top As for the marshalling and quartering of Souldiers with sundry other Military Propositions I have here instated proposals and delivered Examples for speculation onely and transferred the forme to the judgement of experienced Commanders since most Propositions depending on this Subject are undeterminable but according to the custome of the Country the advantage of the Place the number of Horse or Foot the Enemies condition with multitudes of occurences intervening every day those circumspectly to be cons●derd by the field-Officers or Council of war sitting upon this Tragick Scene as Germany hath learned by sad experience under the Swords tuition this later age whose Disci●les have been generally Separates oppugnant in opinion yet united and armed with factions have commenced War under specious colours to procure Peace oppress'd the Truth to support Religion supprest Kings to establsh Monarchy and by rude Anarchy pretending to introduce Civility with divers such zealous Paradoxes by an Hyperbolical Faith But leaving all to God whose Decrees are inscrutable his Wisdome infallible his Justice certain his Mer●y without limit Infinite and Omni●otent in all his works To whom be all Honour Praise and Glory world without end Amen THE DEBITOR AND CREDITOR OR A Perfect Method of keeping Merchants Accounts after the Italian manner By Thomas Wilsford LONDON Printed for Nath Brook at the Angel in Cornhill 1659. PRECEDENTS OF MERCHANTS ACCOUNTS In form of DEBITOR CREDITOR According to the Italian manner and the most Modern method Epitomiz'd THe efficient and final cause of keeping Merchants Accounts after this manner is for sundry respects in Commerce and Trade by experience prov'd urgently necessary in steering an ample course of Traffique yet waving all doubtful reckonings and avoyding confusion in multiplicity of business and diversity of affairs of various natures which a good form will procure and produce these effects viz. The Owner or Cash-keeper may at any time and upon all occasions readily find out any contract either by way of Barter or Money present pay time limited or mixt also any summe of money Goods imbarqued shipt off returned or remaining in their Ware-houses with the quantities qualities and value of them also all Receipts and Disbursments whether charg'd or drawn upon their Friends Factors Correspondents Accounts their own or any Company trading by Sea or Land with the ballancing of their Estates betwixt Debitor and Creditor as what he owes or is owing him with all Bills Bonds Obligations Debts or demands contracted on either side Any man that begins to drive a Trade or adventure a Stock into forreign parts by way of Traffique or Commerce in multifacious Negotiation ought to take an Inventory of his present and personall estate whether it be in ready Money Goods Debts Wares or Remainers attracted by any state Bonds Bills Leases or Reversions transferred unto him or by transportation of a trade from some other Merchant or deceased Friend which Inventory must be entred in form of Debitor and Creditor according to the engagements of the Factors Correspondents Administrators or Assigns inscribing the Creditors names the summe time