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" The sum of the squares of the two legs of a right triangle is equal to the square of the hypotenuse. "
Plane Geometry - Page 166
by Webster Wells, Walter Wilson Hart - 1915 - 309 pages
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A Text-book of Geometry

George Albert Wentworth - Geometry - 1888 - 272 pages
...BF to AC. Then AJ? = ACxAF 334 and BC* = ACx CF By adding, ZS2 + C* = AC(AF+ CF) = AC\ a ED 339. COR. The square of either leg of a right triangle is equal to the difference of the squares of the hypotenuse and the other kg. 340. SCHOLIUM. The ratio of the diagonal...
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A Text-book of Geometry

George Albert Wentworth - Geometry - 1888 - 264 pages
...corresponding equal angles. PROPOSITION XVI. THEOREM. \/ 338. The sum of the squares of the two legs of a right triangle is equal to the square of the hypotenuse. Let AEC be a right triangle with its right angle at B. To prove AB* + W = AC\ Proof. Draw BF_L to AC....
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An Examination Manual in Plane Geometry

George Albert Wentworth, George Anthony Hill - Geometry - 1894 - 150 pages
...the hypotenuse and the segment adjacent to the leg. 232. Theorem. The sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse. 233. Theorem. If two chords intersect, the product of the two parts of one is equal to the product...
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Syllabus of Geometry

George Albert Wentworth - Mathematics - 1896 - 68 pages
...sum of the squares of the two legs of a right triangle is equal to the square of the hypotenuse. 339. Cor. The square of either leg of a right triangle is equal to the difference of the squares of the hypotenuse and the other leg. 342. In any triangle, the square of...
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Elements of Analytic Geometry

Joseph Johnston Hardy - Geometry, Analytic - 1897 - 398 pages
...sum of the squares of the two legs of a right triangle is equal to the square of the hypotenuse. 27. The square of either leg of a right triangle is equal to the difference of the squares of the hypotenuse and the other leg. 28. The area of a rectangle is equal...
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A Text-book of Physics

George Albert Wentworth, George Anthony Hill - Physics - 1898 - 456 pages
...equal, if they have equal hypotenuses and one pair of equal legs. 4. The sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse. In the figure, a and 6 are the legs, c is the hypotenuse, and a2 + b'i — c2. A 6 C 5. Two triangles...
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Solid Geometry, Volumes 6-9

George Albert Wentworth - Geometry, Solid - 1899 - 246 pages
...sum of the squares of the two legs of a right triangle is equal to the square of the hypotenuse. 372. The square of either leg of a right triangle is equal to the difference of the square of the hypotenuse and the square of the other leg. 381. If from a point without...
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Plane and Solid Geometry

George Albert Wentworth - Geometry - 1899 - 496 pages
...Thea and AC* = ABX AF, OB* = ABx BF. By adding, AC* + CB* = AB(AF + BF) = AB\ 367 QED 372. COR. 1. The square of either leg of a right triangle is equal to the difference of the square of the hypotenuse and the square of the other leg. 373. COR. 2. The diagonal...
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Plane Geometry

George Albert Wentworth - Geometry, Plane - 1899 - 278 pages
...~AC* = AB X AF, and CB = AB X BF. 367 By adding, AC* + ~CB* =AB(AF + BF) = Iff. 0 ED 372. COR. 1. The square of either leg of a right triangle is equal to the difference of the square of the hypotenuse and the square of the other leg. 373. COR. 2. The diagonal...
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Plane and Solid Geometry

George Albert Wentworth - Geometry - 1899 - 500 pages
...to the square of the hypotenuse. ABC be a right triangle with its right angle at C. 372. COR. 1. TAe square of either leg of a right triangle is equal to the difference of the square of the hypotenuse and the square of the other leg. 373. COR. 2. The diagonal...
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