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" Pythagorean theorem, which states that the sum of the squares of the sides of a right triangle is equal to the square of the hypotenuse. "
Elements of Analytic Geometry - Page 360
by Joseph Johnston Hardy - 1897 - 365 pages
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The Mathematical Monthly, Volume 3

Mathematics - 1860 - 294 pages
...The sum of the radii of the inscribed cirele and of the cirele touching the hypothenuse and extension of the two legs of a right triangle is equal to the oum of the said legs. Find C and C', the centres of the two circles, by bisecting the angles including...
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Exercises in Arithmetic

George Albert Wentworth, George Anthony Hill - Arithmetic - 1887 - 448 pages
...angles is equal to 30°, the opposite side is equal to half the hypotenuse. The sum of the squares upon the two legs of a right triangle is equal to the square upon the hypotenuse ; or, 21? + TH? = 'AC1. If one of the legs, as AB, be taken for the base, then...
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Arithmetic

George Albert Wentworth - Algebra - 1892 - 312 pages
...is equal to 30°, the opposite side is equal to half the hypotenuse. AB The sum of the squares upon the two legs of a right triangle is equal to the square upon the hypotenuse ; or, If one of the legs, as AB, be taken for the base, then the other leg .6(7...
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An Examination Manual in Plane Geometry

George Albert Wentworth, George Anthony Hill - Geometry - 1894 - 150 pages
...between 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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"Wentworth & Hill's Exercise Manual: Arithmetic, Volume 1

George Albert Wentworth - 1894 - 318 pages
...is equal to 30°, the opposite side is equal to half the hypotenuse. AB The sum of the squares upon the two legs of a right triangle is equal to the square upon the hypotenuse ; or, If one of the legs, as AB, be taken for the base, then the other leg BC will...
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Syllabus of Geometry

George Albert Wentworth - Mathematics - 1896 - 68 pages
...extremity of the diameter is a mean proportional between the diameter and the adjacent segment. 338. The 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...
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Exercises in Arithmetic

George Albert Wentworth, George Anthony Hill - Arithmetic - 1897 - 476 pages
...is equal to 30°, the opposite side is equal to half the hypotenuse. Q \ The sum of the squares upon the two legs of a right triangle is equal to the square upon the hypotenuse ; or, If one of the legs, as AB, be taken for the base, then the other leg BC will...
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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
...extremity of the diameter is the mean 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
...the diameter and the adjacent 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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