 | Illinois State Board of Health - Public health - 1885 - 694 pages
...9. Demonstrate that the square described upon the hypothenuse of a right-angled triangle, is equal to the sum of the squares described upon the other two sides. 10. Demonstrate that an inscribed angle is measured by halt the are included between its sides. VIII.... | |
 | 1885 - 696 pages
...9. Demonstrate that the square described upon the hypothenuse of a right-angled triangle, is equal to the sum of the squares described upon the other two sides. 10. Demonstrate that an inscribed angle is measured by half the arc included between its sides. VIII.... | |
 | Harvard University. Class of 1865 - 1885 - 206 pages
...candidate had already submitted, 3. Prove that the square of the hypothenuse of a right triangle is equal to the sum of the squares described upon the other two sides, and tell how this proportion received the name of the " pons asinorum." 4. Why is not the convex surface... | |
 | 1886 - 580 pages
...47th proposition of Euclid," and where can a collection of them be found ? " 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." — Davics' Lfgeniire, Bk. iv, Prop. n. Was the Pythagorean harmony known... | |
 | Webster Wells - Geometry - 1886 - 392 pages
...BC, will be equivalent to the sum of M and N. For the square described upon the hypotenuse of a right triangle is equivalent to the sum of the squares described upon the other two sides (§ 338). 348- COROLLARY. By an extension of the above method a square may be constructed equivalent... | |
 | David Swing - English essays - 1889 - 280 pages
...rather cry out, "Eureka! eureka!" over a bunch of wild flowers than over the idea that the square of the hypothenuse of a right-angled triangle is equivalent to the sum of the squares of the other two sides. We all believe the utterances of geometry. "We do not entertain any doubt over... | |
 | William J. Shoup - Education - 1891 - 332 pages
...mathematician who should 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... | |
 | George Irving Hopkins - Geometry, Plane - 1891 - 204 pages
...difference of the squares upon the two lines. 426. The square described upon the hypothenuse of a right triangle is equivalent to the sum of the squares described upon the legs. This theorem was first demonstrated by Pythagoras, about 450 BC, and hence is called the Pythagorean... | |
 | 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 James Milne - Arithmetic - 1892 - 440 pages
...of a square ? 459. Since the square described upon the hypotenuse, or side opposite the right angle, of a right-angled triangle is equivalent to the sum of the squares upon the other two sides, it is evident : 1st, That the hypotenuse is equal to the square root of the... | |
| |
The square described upon the hypothenuse of a rightangled triangle is equivalent to the sum of the squares described upon the other two sides. 
