 | 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,... | |
 | Eli Todd Tappan - Geometry - 1873 - 288 pages
...to give here the demonstration from Euclid. 4OS. Theorem — The square described on the hypotenuse of a right angled triangle is equivalent to the sum of the squares described on the two legs. Let ABC be a right angled triangle, having the right angle BAC. The square 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... | |
 | Edward Olney - 1872 - 270 pages
...triangles ? Why ? THE PYTHAGOREAN PROPOSITION. 100. Theorem.—The square described on the hypotenuse of a right angled triangle is equivalent to the sum of the two squares described on the other two sides. ILL..—The meaning of this proposition may be illustrated... | |
 | William Frothingham Bradbury - Geometry - 1873 - 132 pages
...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 construct squares, draw BD perpendicular... | |
 | William Frothingham Bradbury - Geometry - 1873 - 288 pages
...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 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 the... | |
 | 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... | |
 | Education - 1875 - 398 pages
...of sides, the one having the least perimeter is regular. • 3. PROPOSITION. The square described on the hypothenuse of a right angled triangle is equivalent to the sum of the squares described on the other two sides. 4. PROPOSITION. If the diagonals of a quadrilateral bisect each other the figure... | |
 | Education - 1876 - 692 pages
...triangle. 8. Give the demonstration, that you consider the best, to prove that the square described on the hypothenuse of a right angled triangle is equivalent to the sum of the squares of the other two sides. 9. Draw a diagram illustrating all the relative positions of two circumferences.... | |
| |
In any right-angled triangle, the square described on the hypotenuse is equal to the sum of the squares described upon the other two sides. 
