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 Books Books 1 - 10 of 92 on In geometry he is said to have been the first to demonstrate the proposition that.... 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 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... 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... 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... 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... 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,... 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,... 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... 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... 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... 