Unformatted text preview: "Geometry has two great treasures: one is the theorem of Pythagoras, the other the division of a line into mean and extreme ratios, that is , the Golden Mean. The first way may be compared to a measure of gold, the second to a precious jewel." In a letter to a former professor he states the theorem, which I rephrase as: If the sides of a right triangle are in geometric ratio, then the sides are We recognize this as the sides of the Egyptian triangle, which is why its also called the Kepler triangle. Project: Prove that If the sides of a right triangle are in geometric ratio, then the sides are...
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- Fall '10
- Pythagorean Theorem, triangle, Kepler triangle, theKepler triangle, Egyptian triangle