 | John Reynell Morell - 1875 - 220 pages
...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... | |
 | Lorenzo Fairbanks - 1875 - 472 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... | |
 | James William Nicholson - Arithmetic - 1889 - 408 pages
...find the third side. THEOREM. — The square described on the hypothenuse of a right triangle is equal to the sum of the squares described on the other two sides. Hence, the square of cither side about the right angle is equal to the square of the hypothenuse diminished... | |
 | 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... | |
 | 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... | |
 | 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... | |
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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. 
