Excerpt from Euclid's Elements of Geometry, Vol. 1: Based on Simson's d104; With Explanatory Remarks, Etc I. A point is that which has no parts, or that which has no magnitude. Euclid's point is therefore imaginary, shewing position only: we cannot make a point, however small, without size or magnitude; the smallest dot we can make with a pen or pencil must have length and breadth to be visible.