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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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Solid Geometry, Volumes 6-9

George Albert Wentworth - Geometry, Solid - 1899 - 248 pages
...proportional between the diameter and the adjacent segment. 371. The 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...
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Plane and Solid Geometry

George Albert Wentworth - Geometry - 1899 - 498 pages
...segment. BOOK IIL PLANE GEOMETRY. PROPOSITION XXVIII. THEOREM. 371. The sum of the squares of the two legs of a right triangle is equal to the square of the hypotenuse. Let ABC be a right triangle with its right angle at C. To prove that AC* + CB* — Alf. Proof. Di-aw...
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Plane Geometry

George Albert Wentworth - Geometry, Modern - 1899 - 272 pages
...segment. BOOK III. PLANE GEOMETRY. PROPOSITION XXVIII. THEOREM. 37L The sum of the squares of the two legs of a right triangle is equal to the square of the hypotenuse. Let ABC be a right triangle with its right angle at C. To prove that ~AC2 + ~CI? = AB\ Proof. Draw...
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Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1902 - 394 pages
...(Hint, a V2 = 146 SIMILAR POLYGONS PROPOSITION XXXII. THEOREM 310. TJie sum of the squares of the arms of a right triangle is equal to the square of the hypotenuse. (307) (262) ADC Hyp. ABC is a rt. A, having its rt. Z at B. To prove AJ? + BC2 = AC\ Proof. Draw BD-LAC....
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Plane Geometry

Arthur Schultze - 1901 - 260 pages
...a is a given line. (Hint, a V2 = PROPOSITION XXXII. THEOREM 310. The sum of the squares of the arms of a right triangle is equal to the square of the hypotenuse. or AD O Hyp. ABC is a rt. A, having its rt. Z at B. To prove IS + BC? = AC*. Proof. Draw BDJ-AC. AD:AB...
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Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 394 pages
...line. E (Hint, a V2 = V(2 a) • a.) PROPOSITION XXXII. THEOREM 310. The sum of the squares of the arms of a right triangle is equal to the square of the hypotenuse. or ADC Hyp. ABC is a rt. A, having its rt. Z at B. To prove AI? + BC 2 = AC 2 . Proof. Draw BD _L AC....
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Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 396 pages
...equal to a vf, if a is a given line. PROPOSITION XXXII. THEOREM 310. The sum of the squares of the arms of a right triangle is equal to the square of the hypotenuse. (307) (262) ADO Hyp. ABC is a rt. A, having its rt. Z at B. To prove IS + BC2 = AC'2. Proof. Draw BD±AC....
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Solid Geometry, Volumes 6-9

George Albert Wentworth - Geometry, Solid - 1902 - 248 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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Solid Geometry, Volumes 6-9

George Albert Wentworth - Geometry, Solid - 1902 - 246 pages
...proportional between the diameter and the adjacent segment. 371. The 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...
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Plane and Solid Geometry

George Albert Wentworth - Geometry - 1904 - 496 pages
...Then and AC* = CB* = AB AF, BF. § 367 By adding, AC* + ~CB* = AB (AF + BF) = AB\ QE D. 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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