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The elements of Euclid for the use of schools and colleges : comprising the first two books and portions of the eleventh and twelfth books; with notes and exercises (1880)

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

An illustration from The elements of Euclid for the use of schools and colleges : comprising the first two books and portions of the eleventh and twelfth books; with notes and exercises, 1880, leaf 69
of the squares on AC, CD. But the square on ^i^ is equal to the squares on AE,EF, because the angle AEF is a right angle. [I. 47. Therefore the square on ^i^ is double of the squares onAC, CD. But the squares on AD, DF are equal to the square onAF, because the augle ADFis a right angle. [I. 47.… … 64 EUCLIDS ELEMENTS, PROPOSITION 10. THEOREM. If a straight line he bisected^ and prodiiced to anypointy the sqtiare on tlie ichole line thus produced^ andthe square on tlie part of it produced^ are together doubleof the square on half tJte line bisected and of the squareon the line made up of the…

Geometry · Euclid's Elements · Mathematics, Greek

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