The Mathematicall Praeface to Elements of Geometrie of Euclid of MegaraDee, John
Philosophy
The Mathematicall Praeface to Elements of Geometrie of Euclid of Megara
Dee, John
Geometry -- Early works to 1800; Mathematics -- Early works to 1800; Philosophy -- Early works to 1800
_Number_, we define, to be, a certayne Mathematicall Sũme, of _Vnits_.
And, an _Vnit_, is that thing Mathematicall, Indiuisible, by
participation of some likenes of whose property, any thing, which is in
deede, or is counted One, may resonably be called One. We account an
_Vnit_, a thing _Mathematicall_, though it be no Number, and also
indiuisible: because, of it, materially, Number doth consist: which,
principally, is a thing _Mathematicall_.
[Magnitude.]
_Magnitude_ is a thing _Mathematicall_, by participation of some likenes
of whose nature, any thing is iudged long, broade, or thicke. “A thicke
_Magnitude_ we call a _Solide_, or a _Body_. What _Magnitude_ so euer,
is Solide or Thicke, is also broade, & long. A broade magnitude, we call
a _Superficies_ or a Plaine. Euery playne magnitude, hath also length.
A long magnitude, we terme a _Line_. A _Line_ is neither thicke nor
broade, but onely long: Euery certayne Line, hath two endes:
[A point.]
The endes of a line, are _Pointes_ called. A _Point_, is a thing
_Mathematicall_, indiuisible, which may haue a certayne determined
situation.” If a Poynt moue from a determined situation, the way wherein
it moued, is also a _Line_: mathematically produced, whereupon, of the
auncient Mathematiciens,
[A Line.]
a _Line_ is called the race or course of a _Point_. A Poynt we define,
by the name of a thing Mathematicall: though it be no Magnitude, and
indiuisible: because it is the propre ende, and bound of a Line: which
is a true _Magnitude_.
[Magnitude.]
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