anicien_, otherwise, then (hitherto) it hath ben vsed, I thinke it
good, (for distinction sake) to giue you also a brief description, what
I meane therby. +A Mechanicien, or a Mechanicall workman is he, whose
skill is, without knowledge of Mathematicall demonstration, perfectly to
worke and finishe any sensible worke, by the Mathematicien principall or
deriuatiue, demonstrated or demonstrable.+ Full well I know, that he
which inuenteth, or maketh these demonstrations, is generally called _A
speculatiue Mechanicien_: which differreth nothyng from a _Mechanicall
Mathematicien_. So, in respect of diuerse actions, one man may haue the
name of sundry artes: as, some tyme, of a Logicien, some tymes (in the
same matter otherwise handled) of a Rethoricien. Of these trifles,
I make, (as now, in respect of my Preface,) small account: to fyle them
for the fine handlyng of subtile curious disputers. In other places,
they may commaunde me, to giue good reason: and yet, here, I will not be
vnreasonable.

[+1.+]

First, then, from the puritie, absolutenes, and Immaterialitie of
Principall _Geometrie_, is that kinde of _Geometrie_ deriued, which
vulgarly is counted _Geometrie_: and is the +Arte of Measuring sensible
magnitudes, their iust quantities and contentes.+

[Geometrie vulgar.]

This, teacheth to measure, either at hand: and the practiser, to be by
the thing Measured: and so, by due applying of Cumpase, Rule, Squire,
Yarde, Ell, Perch, Pole, Line, Gaging rod, (or such like instrument) to
the Length, Plaine, or Solide measured,

[1.]

* to be certified, either of the length, perimetry, or distance lineall:
and this is called, _Mecometrie_. Or

[2.]

* to be certified of the content of any plaine Superficies: whether it
be in ground Surueyed, Borde, or Glasse measured, or such like thing:
which measuring, is named _Embadometrie_.

[3.]

* Or els to vnderstand the Soliditie, and content of any bodily thing:
as of Tymber and Stone, or the content of Pits, Pondes, Wells, Vessels,
small & great, of all fashions. Where, of Wine, Oyle, Beere, or Ale
vessells, &c, the Measuring, commonly, hath a peculier name: and is
called _Gaging_. And the generall name of these Solide measures, is
_Stereometrie_.

[+2.+]

Or els, this _vulgar Geometrie_, hath consideration to teach the
practiser, how to measure things, with good distance betwene him and the
thing measured: and to vnderstand thereby, either