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" If there be two straight lines, one of which is divided into any number of parts, the rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line. "
A Supplement to the Elements of Euclid - Page 92
by Daniel Cresswell - 1819 - 410 pages
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The Thirteen Books of Euclib's Elements.

Euclid - 454 pages
...PROPOSITION i. If there be two straight lines, and one of them be cut into any number of segments whatever, the rectangle contained by the two straight lines is equal to the rectangles contained by the uncut straight line and each of the segments. 5 Let A, BC be two straight lines, and let BC be cut...
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Elementary Geometry Plane

James McMahon - Mathematics - 2015 - 244 pages
...one of whiob if divided Into any number of parts (.r, y, z say) while the other Is of length a, then the rectangle contained by the two straight lines Is equal to the sum of the rectangles contained by the undivided straight Una and the 8over.il parts of the divided...
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