Books Books The square described on the hypotenuse of a right triangle is equivalent to the sum of the squares on the other two sides. Elementary and Constructional Geometry - Page 91
by Edgar Hamilton Nichols - 1896 - 138 pages ## Elements of Geometry: With Practical Applications, for the Use of Schools

Timothy Walker - Geometry - 1829 - 158 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 - 216 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 - 380 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 - 380 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 - 382 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,... ## Elementary Geometry

William Frothingham Bradbury - Geometry - 1873 - 138 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... ## An Elementary Geometry and Trigonometry

William Frothingham Bradbury - Geometry - 1873 - 292 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... ## Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1877 - 416 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?... 