| Henry Barnard - Military education - 1872 - 988 pages
...area of a polygon. — Measure of the area of a trapezoid. The square constructed on the hypothenuBe **of a right-angled triangle is equivalent to the sum of the squares** constructed 011 the other two sides. — The squares constructed on the two sides of the right angle... | |
| Benjamin Greenleaf - Geometry - 1873 - 202 pages
...line AC is equivalent to four times the square described on the half A B. BOOK IV. EQ THEOREM IX. 195. **The square described on the hypothenuse of a right-angled...the squares described on the other two sides. Let** ABC be a right-angled M triangle, having the right angle at A . then the square described on the hypothenuse... | |
| Benjamin Greenleaf - Geometry - 1874 - 206 pages
...equivalent to four times the square described on the half A B. E D F G BOOK IV. F E THEOREM IX. 195. **The square described on the hypothenuse of a right-angled...the squares described on the other two sides. Let** ABC be a right-angled triangle, having the right angle at A ; then the square described on the hypothenuse... | |
| Adrien Marie Legendre - Geometry - 1874 - 512 pages
...PROPOSITION XI. THEOREM. The square described on the hypothenuse of a right-angled triangle, is equal **to the sum of the squares described on the other two sides. , Let** ABC be a triangle, right-angled at A : then will SO* = AS2 + AC2. Construct the square BG on the side... | |
| Bombay city, univ - 1874
...point without it. 2. Show that if the square described on one of the sides 8 of a triangle be equal **to the sum of the squares described on the other two sides** of it, the anglo contained by these two sides is a right angle. 3. In every triangle the square on... | |
| United States Naval Academy - 1874
...sides. 1. Prove that the square described on the hypothenu.se of a right triangle is ci ; ni valent **to the sum of the squares described on the other two sides.** .">. Prove that a triangular pyramid is one-third of a triangular prism of the samo base and altitnde,... | |
| John Reynell Morell - 1875 - 220 pages
...the area of each triangle,* and taking the sums of these areas. THEOREM Vm. The square constructed **on the hypothenuse of a rightangled triangle is equivalent to the sum of the squares** constructed on the sides. Let AC B be a rightangled triangle, with right angle vertex at C ; construct... | |
| Education - 1875 - 398 pages
...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 is a parallelogram.... | |
| Lorenzo Fairbanks - 1875 - 468 pages
...third side. THEOREM. — The square described on the hypothenuse of a right-angled triangle is equal **to the sum of the squares described on the other two sides.** COROLLARY. — The square of either side about the right angle is equal to the square of the hypothenuse... | |
| George Cary Eggleston - Adventure stories - 1876 - 234 pages
...line because I know that the square described on the hypothenuse of a right angled triangle is equal **to the sum of the squares described on the other two sides."** " Whew ! it fairly takes the breath out of a fellow to hear you rattle that off," replied Sid. " Come,"... | |
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