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The elements of Euclid for the use of schools and colleges : books I., II., III. (1876)

Todhunter, I. (Isaac), 1820-1884 · Toronto : Copp, Clark · leaf 69

An illustration from The elements of Euclid for the use of schools and colleges : books I., II., III., 1876, leaf 69
squares on AC, CD. But tlic square on ^i^ is equal to the squares on AE,EF, because the angle AEF is a right angle. [1. 47. Therefore the square on AF is double of the squares onAG, CD. But the squares on AD, DF are equal to the square onAF, because the angle ADF is a right angle. [I. 47. Therefore… … 64 EUCLIDS ELEMENTS. PROPOSITION 10. THEOREM. If a straight line he bisected, and produced to anypoint, the square on the whole line thus produced, andthe square on the part of it produced, are together doubleof the square on half the line bisected and of the squareon the line made up of the half…

Geometry · Euclid's Elements · Mathematics, Greek

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