 | Edward Olney - Geometry - 1883 - 344 pages
...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... | |
 | Isaac W. Smith - Railroads - 1884 - 448 pages
...lengths of the base and perpendicular. This is generally deduced from the proposition that the area of the square described on the hypothenuse is equal to the sum of the areas of the squares described on the other sides. The squares described on the sides are not, however,... | |
 | Evan Wilhelm Evans - Geometry - 1884 - 170 pages
...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 - Education - 1885 - 990 pages
...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... | |
 | Henry Albert Reed - Photographic surveying - 1886 - 214 pages
...the 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... | |
 | 1886 - 580 pages
...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,"... | |
 | Joseph Baldwin - 1887 - 360 pages
...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 - Mechanical drawing - 1888 - 300 pages
...the 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... | |
 | James William Nicholson - Arithmetic - 1889 - 408 pages
...to 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... | |
 | Adonijah Strong Welch - Educational psychology - 1889 - 348 pages
...sides forming the right angle be respectively 6 and 8 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... | |
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The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides. 
