The square described on the hypotenuse of a right triangle is equivalent to the sum of the squares on the other two sides. Plane Geometry - Page 141by Claude Irwin Palmer, Daniel Pomeroy Taylor - 1915 - 277 pagesFull view - About this book
| Timothy Walker - Geometry - 1829 - 156 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 - 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... | |
| Benjamin Peirce - Geometry - 1847 - 204 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... | |
| Henry Barnard - Military education - 1862 - 410 pages
...the product of the base by the height. The square constructed on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares constructed on the other two sides.—The squares constructed on the two sides of the right angle of a right-angled triangle and... | |
| 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... | |
| 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,... | |
| 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,... | |
| William Frothingham Bradbury - Geometry - 1873 - 288 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 - 132 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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