Let ABC be a A having the rt. ^ACB.Then the square on AB is equal to the sum of the squareson AC and CB. From C draw CD perpendicular to AB. Since the As ADC, ACB are similar, (III., 12.) AC^AADC • AB2 A ACB Since the As CDB, ACB are similar, BC^ACDB AB~2 ~ AACB* Tj AC-+BC2 aADC+aCDB ^^^^^[B^ =… … The lines DK, EH are drawn || to AC, and the linesEF, AG, BH II to BC. The triangles AGD, DFE, BHE are readily shown to1)6 equal in aU respects to the triangle ACB, and iutlu^ process AK, KE are shown to be the squares onAC, CB, respectively. The triangle AGD may be turned about A, in thedirection…
Geometry · Geometry, Plane
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