cli is the algebraic identitj, 2a^ + 2b^ = ia + h)-+{((-hy-. The same identity will also be found to be the equi-valent of the proposition,—If a straight line bebisected and produced to any point, the squareon the whole line thus produced, and the squareon the part of it produced, are together… … Let the As ABC, ACD have the same altitude, namelythe ±r from A on BD. Then the AABC is to the AACD as BC to CD. Let BE be a common measure of BC and CD; andlet it be contained m times in BC, and n times in CD. Divide BC into m equal parts, each = BE, and CD inton equal parts, each = BE. Form As by…
Geometry · Geometry, Plane
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