Excerpt from Euclid's Elements of Geometry, Vol. 1: Based on Simson's Text; 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.
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Excerpt from Euclid's Elements of Geometry, Vol. 1: Based on Simson's Text; 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.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Excerpt from Euclid's Elements of Geometry, Vol. 1: Based on Simson's d104; With Explanatory Remarks, Etc
Here a line is merely an imaginary track from one point to eu other, whether straight or curved -as in the case of the point, aline drawn on paper must have length and breadth to be visible. Euclid's definitions of a point and line apply only to ideal points and lines, which can exist only in imagination.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
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