To frame a Battell of 819. Souldieres, whiche shall containe so muche and the one haulf more in fronte then in flanke, whiche the Spaniarde and Italian call de tanto y medio.

〈 math 〉

THe advantadge of grounde goode order, and Military discipli∣ne are suche that troughe the conduction of prudente and bra∣ve Comaūderes smale numberes offten times repulse far grea∣ter numberes, and some times the situatiō and disposition of ground-so faulethe oute, that neyther of the 4. formes of Squadrones can ser∣ve; Wherfore a Sardgent mayor▪ or whosoever undertakethe to by cu∣rious or perfect in this arte, ought to be expert in framinge all sortes of batteles, as well of equall and inequall numberes whatesoever, wherfore i tought fitt to set downe the rules for the framinge of suche batteles

Bigininge with a battell of so muche and one haulf more in front then in flanke, which the Italian calle tanto y metcho; which i supose to by framed of 507. armed pikes, and that the fronte therof containe so muche and the one haulf more in front 〈 math 〉 then in the flanke, to wourke the which put downe the number propounded whiche is 507. pikes, unto which number ad the one haulf of the self number, whiche will be 253 •/2. that don, ad bothe numberes and it will a monthe to 760 2/1. oute of whiche take the square roote, which will by 27. and 21. remaininge, and say that 27. is the front of the battell.

To finde oute the flanke take 507. the number of pikes, and divide it by 27. the front, the quotient ther∣of wilbe 18. and 21. pikes remaininge, and say that 18. is the flanke; and the 21. pikes which did remaine oute of youre laste division will serve to guarnishe the culoures, soe that 27. is the front, and 18. the flanke, whiche comethe to the juste propor∣tion of the forme and number propounded, to see if yove have don, well multiply 27. the front by 18. the flanke the product of which Page  83 multiplication, and the 21. which did remaine in youre la∣ste 〈 math 〉 diuision, and if it agrie with the number of pikes pro∣pounded yove have don well, if not yove err, advertisinge that the proportion of the front and flanke muste be ob∣served, the forme wherof yove shall see here followinge, and lined proportionally every way withe the 312. muske∣tes, as yove more plainely may perceive by the figure fol∣lowenge, and by the divisiones of the same.

〈 math 〉