_____________
| | | _
| {P}. _2._ | _Hote. 4._ | 1/3 _ _The forme_
| | | _ _3-2/3 resulting._
| {P}. _1._ | _Hote. 3._ | _ 2/3
|___________|_____________|
And though I, here, speake onely of two thyngs Miscible: and most
commonly mo then three, foure, fiue or six, (&c.) are to be Mixed: (and
in one Compound to be reduced: & the Forme resultyng of the same, to
serue the turne) yet these Rules are sufficient: duely repeated and
iterated.
[Note.]
In procedyng first, with any two: and then, with the Forme Resulting,
and an other: & so forth: For, the last worke, concludeth the Forme
resultyng of them all: I nede nothing to speake, of the Mixture (here
supposed) what it is. Common Philosophie hath defined it, saying,
_Mixtio est miscibilium, alteratorum, per minima coniunctorum, Vnio_.
Euery word in the definition, is of great importance. I nede not also
spend any time, to shew, how, the other manner of distributing of
degrees, doth agree to these Rules. Neither nede I of the farder vse
belonging to the Crosse of Graduation (before described) in this place
declare, vnto such as are capable of that, which I haue all ready sayd.
Neither yet with examples specifie the Manifold varieties, by the
foresayd two generall Rules, to be ordered. The witty and Studious,
here, haue sufficient: And they which are not hable to atteine to this,
without liuely teaching, and more in particular: would haue larger
discoursing, then is mete in this place to be dealt withall: And other
(perchaunce) with a proude snuffe will disdaine this litle: and would be
vnthankefull for much more. I, therfore conclude: and wish such as haue
modest and earnest Philosophicall mindes, to laude God highly for this:
and to Meruayle, that the profoundest and subtilest point, concerning
_Mixture of Formes and Qualities Naturall_, is so Matcht and maryed with
the most simple, easie, and short way of the noble Rule of _Algiebar_.
Who can remaine, therfore vnpersuaded, to loue, alow, and honor the
excellent Science of _Arithmetike_? For, here, you may perceiue that the
litle finger of _Arithmetike_, is of more might and contriuing, then a
hunderd thousand mens wittes, of the middle sorte, are hable to
perfourme, or truely to conclude, with out helpe thereof.
Now will we farder, by the wise and valiant Capitaine, be certified,
what helpe he hath, by the Rules of _Arithmetike_: in
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