 | William Chauvenet - Geometry - 1871 - 380 pages
...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 AH, described... | |
 | William Frothingham Bradbury - Geometry - 1872 - 124 pages
...the segments of the base. THEOREM XII. 271 The square described on the hypothenuse of a right angle is equivalent to the sum of the squares described upon the other two sides. Let AB C be a triangle rightangled at B ; then AC* = AJ/ -j- B C" On the three sides construct squares,... | |
 | William Frothingham Bradbury - Geometry - 1872 - 262 pages
...the segments of the base. THEOREM XII. 27. The square described on the hypothenuse of a right angle is equivalent to the sum of the squares described upon the other two sides. Let ABC be a triangle rightangled at B ; then TO* = TJ? + WC* On the three sides construct squares,... | |
 | William Chauvenet - Mathematics - 1872 - 382 pages
...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. ia a Let the triangle ABC be right angled at C; then, the square AH, described... | |
 | Euclid, Charles Peter Mason - Geometry - 1872 - 216 pages
...square ABED. PBOPOSITION XLVIII. If the square described upon one of the sides of a triangle bo equal to the sum of the squares described upon the other two sides, the angle contained by these two sides is a right angle. For the construction employed in this proposition... | |
 | William Frothingham Bradbury - Geometry - 1873 - 132 pages
...mean proportional between the segment* of the hi/pothenuse. ^ THEOREM XII. 27. The square described on the hypothenuse of a right triangle is equivalent...of the squares described upon the other two sides. Let ABG be a triangle rightangled at B; then On the three sides construct squares, draw BD perpendicular... | |
 | William Frothingham Bradbury - Geometry - 1873 - 288 pages
...mean proportional between the segmentt of the hypothenuse. THEOREM XII. ^ 27« The square described on the hypothenuse of a right triangle is equivalent...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 squares, draw В D perpendicular... | |
 | Chalmers Izett Paton - Freemasonry - 1873 - 560 pages
...triangle, the square described upon the side subtending (that is, opposite to) the right angle is equal to the sum of the squares described upon the other two sides. The figure, as generally used in masonic symbolism, is merely that which is sufficient to illustrate... | |
 | United States Naval Academy - 1874 - 888 pages
...that may sur. 5. Prove, geometrically, that the square described upon the hypothenuse of a right angle is equivalent to the sum of the squares described upon the other sides. Would 3 proposition lie true, if for square we substituted equilateral triangle, or circle deribed... | |
 | Robert Fowler Leighton - 1877 - 372 pages
...side into parts proportional to the other two sides. Give proof. 5. Prove that the square described on the hypothenuse of a right triangle is equivalent...of the squares described upon the other two sides. 6. Given two similar polygons, to construct one similar to them both and equivalent to their sum. 7.... | |
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The square described on the hypotenuse of a right triangle is equivalent to the sum of the squares on the other two sides. 
