| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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,... | |
| 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,... | |
| 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... | |
| 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... | |
| 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... | |
| 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?... | |
| |