The elements of Euclid, explained and demonstrated in a new and most easie method with the uses of each proposition in all the parts of the mathematicks / by Claude Francois Milliet D'Chales, a Jesuit ; done out of French, corrected and augmented, and illustrated with nine copper plates, and the effigies of Euclid, by Reeve Williams ...

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Title: The elements of Euclid, explained and demonstrated in a new and most easie method with the uses of each proposition in all the parts of the mathematicks / by Claude Francois Milliet D'Chales, a Jesuit ; done out of French, corrected and augmented, and illustrated with nine copper plates, and the effigies of Euclid, by Reeve Williams ...
Author: Dechales, Claude-François Milliet, 1621-1678.
Publication: London :: Printed for Philip Lea ...,; 1685.
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Subject terms: Geometry -- Early works to 1800.; Mathematical analysis.
Cite this Item: "The elements of Euclid, explained and demonstrated in a new and most easie method with the uses of each proposition in all the parts of the mathematicks / by Claude Francois Milliet D'Chales, a Jesuit ; done out of French, corrected and augmented, and illustrated with nine copper plates, and the effigies of Euclid, by Reeve Williams ..." In the digital collection Early English Books Online 2. https://name.umdl.umich.edu/A38722.0001.001. University of Michigan Library Digital Collections. Accessed May 29, 2024.

Pages

USE.

THis Proposition serveth in the first place, to reduce into a Square any Right lined Figure whatever: and whereas a Square is the first Measure of all Super∣ficies, because its Length and Breadth is equal, we measure by this means all right lined Figures. In the second place this Proposition teacheth us to find a mean Pro∣portion between two given Lines; as we shall see in the Thirteenth Proposition of the Sixth Book.

This Proposition may also serve to square curve lined Figures, and even Circles themselves; for any crooked or curve lined Figure may, to sence, be reduced to a Right lined Figure; as if we inscribe in a Circle a Polygon having a thousand sides, it shall not be sensibly different from a Circle: and reducing the Polygone into a Square, we square nearly the Circle.