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" In geometry he is said to have been the first to demonstrate the proposition that the square on the hypotenuse of a right triangle is equivalent to the sum of the squares on the other two sides. "
Chandler's Encyclopedia: An Epitome of Universal Knowledge ... - Page 1247
edited by - 1898
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Elements of Geometry: With Practical Applications, for the Use of Schools

Timothy Walker - Geometry - 1829 - 129 pages
...triangle will be the area of the polygon. 108. THEOKEM. — The square described upon the hypothenuse of a right triangle is equivalent to the sum of the squares described upon the other two sides. This is the celebrated proposition, with the discovery of which...
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An Elementary Treatise on Plane and Solid Geometry

Benjamin Peirce - Geometry - 1837 - 159 pages
...points of the sides which are not parallel. 256. Theorem. The square described upon the hypothenuse of a right triangle is equivalent to the sum of the squares described upon the other two sides. Demonstration. Let squares be constructed upon the three sides...
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An Elementary Treatise on Plane and Solid Geometry

Benjamin Peirce - Geometry - 1847 - 150 pages
...points of the sides which are not parallel. ' 256. Theorem. The square described upon the hypothenuse of a right triangle is equivalent to the sum of the squares described upon the other two sides. Proof. Let squares be constructed upon the three sides of the right...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Geometry - 1871 - 368 pages
...any two homologous lines of the polygons. PROPOSITION X.— THEOREM. 25. The square described upon the hypotenuse of a right triangle is equivalent to the sum of the squares described on the other two sides. IZ LS Let the triangle ABC be right angled at C; then, the square...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Geometry - 1871 - 368 pages
...any two homologous lines of the polygons. PROPOSITION X.— THEOREM. 25. The square described upon the hypotenuse of a right triangle is equivalent to the sum of tlie squares described on the other two sides. U LB Let the triangle ABC be right angled at C; then,...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Geometry - 1872 - 368 pages
...of any two homologous lines of the polygons. PROPOSITION X.—THEOREM. 25. The square described upon the hypotenuse of a right triangle is equivalent to the sum of the squares described on the other two sides. Let the triangle ABC be right angled at C', then, the square AH,...
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An Elementary Geometry and Trigonometry

William Frothingham Bradbury - Geometry - 1873 - 238 pages
...between the segmentt of the hypothenuse. THEOREM XII. ^ 27« The square described on the hypothenuse of a right triangle is equivalent to the sum of the squares described upon the other two Let А B С be a triangle rightangled at B ; then On the three sides construct...
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Elementary Geometry

William Frothingham Bradbury - Geometry - 1873 - 110 pages
...between the segment* of the hi/pothenuse. ^ THEOREM XII. 27. The square described on the hypothenuse of a right triangle is equivalent to the sum of the squares described upon the other two sides. Let ABG be a triangle rightangled at B; then On the three sides...
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Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1877 - 398 pages
...sides the equation, then AC AB GEOMETRY. — BOOK IV. ANOTHER DEMONSTRATION. 333. The square described on the hypotenuse of a right triangle is equivalent to the sum of the squares on the other two sides. D Let ABC be a right Д, having the right angle BAС. We are to prove Б1? = Ж22...
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Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1877 - 402 pages
...equation, then AС _ AIÍ OEOMETRY. BOOK IV. ANOTHER DEMONSTRATION. 333. The square described on fhe hypotenuse of a right triangle is equivalent to the sum of the squares on the oiher two sities. H -Л \ Let ABС be a right Л, having the right angle BAG. We are to prove 1Л?...
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