 | 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.... | |
 | Illinois State Board of Health - Public health - 1885 - 692 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.... | |
 | 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... | |
 | 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 (ยง 338). 348- COROLLARY. By an extension of the above method a square may be constructed equivalent... | |
 | 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... | |
 | Charles Ambrose Van Velzer, George Clinton Shutts - Geometry - 1894 - 522 pages
...PROPOSITION IX. THEOREM. 270. The square described upon the hypotenuse of a right triangle is equal to the sum of the squares described upon the other two sides. Let ABC represent a right triangle, whose hypotenuse is AC, and let. AE be the square upon the hypotenuse,... | |
 | Bothwell Graham - Arithmetic - 1895 - 240 pages
...angle. 6. The square described upon the hypotenuse (side opposite the right angle) of a right-angled triangle is equivalent to the sum of the squares described .upon the other two sides: whence, the hypotenuse is equal to the square root of the sum of the squares of the other two sides... | |
 | Joe Garner Estill - Geometry - 1896 - 168 pages
...proportional between two given lines. 6. The square described upon the hypotenuse of a rightangled triangle is equivalent to the sum of the squares described upon the other two sides. (GHve the pure geometric proof.) 7. In a triangle any two sides are reciprocally proportional to the... | |
 | Mathematicians - 1896 - 368 pages
...will be appended to the completed list. THEOREM. The, square described upon the hypotenuse of a right triangle is equivalent to the sum of the squares described upon the other tiro sides. , PROOFS. ' ' I. RESULTING FROM LINEAR RELATIONS OF SIMILAR RIGHT TRIANGLES. Let ABC be... | |
 | Joe Garner Estill - 1896 - 186 pages
...proportional between two given lines. 6. The square described upon the hypotenuse of a rightangled triangle is equivalent to the sum of the squares described upon the otfier two sides. (Give the pure geometric proof.) 7. In a triangle any two sides are reciprocally... | |
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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. 
