 | George Anthony Hill - Physics - 1880 - 204 pages
...diameter and the adjacent segment. (20) The square described upon the hypothenuse of a right triangle is equivalent to the sum of the squares described on the other two sides. (21) Similar triangles (or polygons) are to each other as the squares of their homologous -sides. (22)... | |
 | Joseph Ray - Arithmetic - 1880 - 420 pages
...demonstrated in Geometry 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. ILLUSTRATION. — A practical proof of this may be made in the following manner, especially valuable... | |
 | Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...CPQ, and DPQ. e. In a right-angled triangle the square on the side subtending the right angle is equal to the sum of the squares described on the other two sides. If a quadrilateral be such that its diagonals are at right angles to one another, the sums of the squares... | |
 | National Educational Association (U.S.) - Education - 1881 - 372 pages
...through his sight 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, although we may not make him understand the logical demonstration. We can convince even a child, with... | |
 | National Education Association of the United States - Education - 1881 - 372 pages
...through his sight 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, although we may not make him understand the logical demonstration. We can convince even a child, with... | |
 | 1882 - 486 pages
...assumed in the proof. 8. Prove that if the square described on one of the siles 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. 4. Prove that if a st aight line be... | |
 | 1882 - 376 pages
...triangles. 3. In a right-angled triangle prove that the square described on the hypothenus is equal to the sum of the squares described on the other two sides. 5. If a point inside a triangle be connected with the extremities of the base, prove that the joining... | |
 | Alexander Duncan - Examinations - 1882 - 180 pages
...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 - Geometry - 1883 - 352 pages
...PROPOSITION VII. 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. FIRST DEMONSTRATION. Let ACB (Fig. 187) be any right-angled triangle. We are to prove that AB = AC... | |
 | Euclides - 1883 - 176 pages
...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... | |
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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. 
