The Mathematicall Praeface to Elements of Geometrie of Euclid of Megara

The Mathematicall Praeface to Elements of Geometrie of Euclid of Megara

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The Mathematicall Praeface to Elements of Geometrie of Euclid of Megara

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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.]

And Magnitude we may define to be that thing Mathematicall, which is diuisible for euer, in partes diuisible, long, broade or thicke. Therefore though a Poynt be no Magnitude, yet Terminatiuely, we recken it a thing Mathematicall (as I sayd) by reason it is properly the end, and bound of a line. Neither Number, nor Magnitude, haue any Materiali