 | Alexander Duncan - 1882 - 180 σελίδες
...geometrical demonstration, that the square described upon the hypothenuse of a right-angled triangle is equal to the sum of the squares described on the other two sides? Art. 386. 8. Two sides of a right-angled triangle being given, how do you find the other two? Art.... | |
 | Edward Olney - 1883 - 344 σελίδες
...PROPOSITION VII. Fi'. 186. 376. Theorem.—The square described on the hypotenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides. We are to prove that AB 2 = AC' + CB 9 . For, let fall the perpendicular CD, and by (374, 2cl) we have... | |
 | Euclid, Isaac Todhunter - 1883 - 428 σελίδες
...the angle cannot be a right angle, since the square described on the first side would then be equal to the sum of the squares described on the other two sides, by I. 47 ; and the angle cannot be acute, since the square described on the first side would then be... | |
 | Euclides - 1883 - 176 σελίδες
...angles to one another. PROP. 48. THEOR. If the square described on one side of a triangle be equal to the sum of the squares described on the other two sides of it, the angle contained by these two sides is a right angle. Given A ABC having sq. on BC = squares... | |
 | Evan Wilhelm Evans - 1884 - 170 σελίδες
...the area of a trapezoid, etc. THEOREM XXVI. The square described on the hypotenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides. Let ABC be a triangle rightangled at B. It is to be proved that the square AEDC is equivalent to the... | |
 | New York (N.Y.). Board of Education - 1885 - 990 σελίδες
...the perpendicular distance between them. The square described on the hypotenuse of any right-angled triangle is equivalent to the sum of the squares described on the other two sides. If a line be divided into two parts, the square described on the whole line is equivalent to the sum... | |
 | 1886 - 580 σελίδες
...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 as " The Music of the Spheres,"... | |
 | Henry Albert Reed - 1886 - 214 σελίδες
...familiar principles 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 ; and that if a perpendicular be let fall from the vertex of the right angle to the hypothenuse, the... | |
 | Joseph Baldwin - 1887 - 332 σελίδες
...President ; that the earth revolves around the sun ; that the square described on the hypotenuse is equal to the sum of the squares described on the other two sides of a right-angled triangle ; and we accept these conclusions as true. We assent to these conclusions... | |
 | Henry Albert Reed - 1888 - 300 σελίδες
...familiar principles 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; and that if a perpendicular be let fall from the vertex of the right angle to the hypothenuse, 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. 
