 | Edward Olney - Geometry - 1877 - 272 pages
...partial triangles ? Why ? THE PYTHAGOREAN PROPOSITION. Theorem.—The square described on the hypotenuse of a right angled triangle is equivalent to the sum of the two squares described on the other two sides. ILL.—The meaning of this proposition may be illustrated... | |
 | William Henry Harrison Phillips - Geometry - 1878 - 236 pages
...PROPOSITION. Theorem. 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. HYPOTH. In the triangle ABC ZB AC = R. To HE PROVED. BC- / \ n PROOF. On the sides of the triangle... | |
 | William Frothingham Bradbury - 1882 - 416 pages
...and perpendicular. 479. The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides. Hence, the square of either of the two sides which form the right angle is equal to the square of the... | |
 | George Anthony Hill - Physics - 1880 - 204 pages
...between the 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)... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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.... | |
 | 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... | |
 | Edward Olney - Geometry - 1883 - 344 pages
...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... | |
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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. 
