| 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,"... | |
| George Cary Eggleston - Adventure stories - 1876 - 238 pages
...line because I know that the square described on the hypothenusc 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,"... | |
| Elias Loomis - Conic sections - 1877 - 458 pages
...H CBI PROPOSITION XI. THEOREM. In any right-angled triangle the square described on the hypothenuse **is equivalent to the sum of the squares described on the other two sides. Let** ABC be a right-angled triangle, having the right angle BAC ; the square described upon the side BC... | |
| Adonijah Strong Welch - Educational psychology - 1889 - 346 pages
...inches long, the hypothenuse 10 inches; show that the square described on the hypothenuse is equal **to the sum of the squares described on the other two sides,** by dividing each of the three squares into small squares whose area is one inch each; then counting... | |
| Edward Albert Bowser - Geometry - 1890 - 414 pages
...COMPARISON OF AREAS. Proposition 7. Theorem. 374. The square described on the hypotenuse of aright **triangle is equivalent to the sum of the squares described on the other two sides.** Hyp. Let ABC be a rt. A, rt. angled at A, and BE, AK, AF squares on BC, AC, AB. To prove sq. on BC=sq.... | |
| William Chauvenet - Geometry - 1891 - 336 pages
...A'D'E' + A'E'F' & PROPOSITION X.— THEOREM. 21. 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, described upon the hypotenuse, is equal in area to the... | |
| Encyclopedias and dictionaries - 1891 - 890 pages
...the right angle. The well-known property of the hypothennse, that the square described on it is equal **to the sum of the squares described on the other two sides,** is proved in the 47th proposition of the first book of Euclid's Elements. Hyracotherium, a genus of... | |
| William J. Shoup - Education - 1891 - 332 pages
...publish as an original discovery the astonishing fact that the square described on the hypothenuse **of a right-angled triangle is equivalent to the sum of the squares** on the other two sides, or the geographer who should just discover that the earth is a sphere. The... | |
| John H. Macke - Carpet laying - 1891 - 244 pages
...above. APPLICATlON OF THE SQUARE ROOT. It is a known principle that the square on the longest side **of a rightangled triangle is equivalent to the sum of the squares** of the other two sides. To illustrate this proposition, let ABС be a right-angled triangle, right... | |
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