analogicall to any _Geometricall_ figure
appointed, any certaine number or summe of men: of such a figure
capable: (by reason of the vsuall spaces betwene Souldiers allowed: and
for that, of men, can be made no Fractions. Yet, neuertheles, he can
order the giuen summe of men, for the greatest such figure, that of
them, can be ordred) and certifie, of the ouerplus: (if any be) and of
the next certaine summe, which, with the ouerplus, will admit a figure
exactly proportionall to the figure assigned. By which Skill, also, of
any army or company of men: (the figure & sides of whose orderly
standing, or array, is knowen) he is able to expresse the iust number of
men, within that figure conteined: or (orderly) able to be conteined.

[* Note.]

* And this figure, and sides therof, he is hable to know: either beyng
by, and at hand: or a farre of. Thus farre, stretcheth the description
and property of _Stratarithmetrie_: sufficient for this tyme and place.

[The difference betwene Stratarithmetrie and Tacticie.]

"It differreth from the Feate _Tacticall_, _De aciebus instruendis._
bycause, there, is necessary the wisedome and foresight, to what purpose
he so ordreth the men: and Skillfull hability, also, for any occasion,
or purpose, to deuise and vse the aptest and most necessary order, array
and figure of his Company and Summe of men." By figure, I meane: as,
either of a _Perfect Square_, _Triangle_, _Circle_, _Ouale_, _long
square_, (of the Grekes it is called _Eteromekes_) _Rhombe_, _Rhomboid_,
_Lunular_, _Ryng_, _Serpentine_, and such other Geometricall figures:
Which, in warres, haue ben, and are to be vsed: for commodiousnes,
necessity, and auauntage &c. And no small skill ought he to haue, that
should make true report, or nere the truth, of the numbers and Summes,
of footemen or horsemen, in the Enemyes ordring. A farre of, to make an
estimate, betwene nere termes of More and Lesse, is not a thyng very
rife, among those that gladly would do it.

[I. D.
Frende, you will finde it hard, to performe my description
of this Feate. But by Chorographie, you may helpe your selfe
some what: where the Figures knowne (in Sides and Angles)
are not Regular: And where, Resolution into Triangles can
serue. &c. And yet you will finde it strange to deale thus
generally with Arithmeticall figures: and, that for Battayle
ray. Their contentes, differ so much from like Geometricall
Figures.]