 | 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... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...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 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... | |
 | Evan Wilhelm Evans - Geometry - 1884 - 170 pages
...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 sum... | |
 | New York (N.Y.). Board of Education - Education - 1885 - 990 pages
...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... | |
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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. 
