Vnit, imagineth lesse
partes: and calleth them _Fractions_. As of an _Vnit_, he maketh an
halfe, and thus noteth it, 1/2. and so of other, (infinitely diuerse)
partes of an _Vnit_. Yea and farder, hath, _Fractions of Fractions. &c_.
And, forasmuch, as, _Addition_, _Substraction_, _Multiplication_,
_Diuision_ and _Extraction of Rotes_, are the chief, and sufficient
partes of _Arithmetike_:

[Arithmetike.]

which is, the _Science that demonstrateth the properties, of Numbers,
and all operations, in numbers to be performed_:

[Note.]

"How often, therfore, these fiue sundry sortes of Operations, do, for
the most part, of their execution, differre from the fiue operations of
like generall property and name, in our Whole numbers practisable, So
often, (for a more distinct doctrine) we, vulgarly account and name it,
an other kynde of _Arithmetike_." And by this reason:

[1.]

the Consideration, doctrine, and working, in whole numbers onely: where,
of an _Vnit_, is no lesse part to be allowed: is named (as it were) an
_Arithmetike_ by it selfe. And so of the _Arithmetike of Fractions_.

[2.]

In lyke sorte, the necessary, wonderfull and Secret doctrine of
Proportion, and proportionalytie hath purchased vnto it selfe a peculier
maner of handlyng and workyng: and so may seme an other forme of
_Arithmetike_.

[3.]

Moreouer, the _Astronomers_, for spede and more commodious calculation,
haue deuised a peculier maner of orderyng numbers, about theyr circular
motions, by Sexagenes, and Sexagesmes. By Signes, Degrees and Minutes
&c. which commonly is called the _Arithmetike_ of _Astronomical_ or
_Phisicall Fractions_. That, haue I briefly noted, by the name of
_Arithmetike Circular_. Bycause it is also vsed in circles, not
_Astronomicall. &c._

[4.]

Practise hath led _Numbers_ farder, and hath framed them, to take vpon
them, the shew of _Magnitudes_ propertie: Which is _Incommensurabilitie_
and _Irrationalitie_. (For in pure _Arithmetike_, an _Vnit_, is the
common Measure of all Numbers.) And, here, Numbers are become, as Lynes,
Playnes and Solides: some tymes _Rationall_, some tymes _Irrationall_.
And haue propre and peculier characters, (as [2rt]. [3rt]. and so of
other. Which is to signifie _Rote Square, Rote Cubik: and so forth_:) &
propre and peculier fashions in the fiue principall partes: Wherfore the
practiser, estemeth this, a diuerse _Arithmetike_ from the other.
Practise bryngeth