 | J. D. Bell - Conduct of life - 1850 - 488 pages
...discovery, in geometry, that the square described on thehypothenuse of a right-angled triangle, is equal to the sum of the squares described on the two other sides. It is recorded by Plutarch, that he offered an ox, and, by other authorities, that he ottered a whole... | |
 | James Elliot - 1851 - 152 pages
...136 PROPOSITION LXVI. THEOREM. The Square described on the Hypothenuse of a right-angled Triangle is equal to the Sum of the Squares described on the two other Sides. Let ABC be a rightangled triangle, and let AD be a square described on the hypothenuse, and AG and... | |
 | Adrien Marie Legendre - Geometry - 1852 - 436 pages
...PROPOSITION XI. THEOEEM. The square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the two other sides. Let BCA be a right-angled triangle, right-angled at A : then will the square described on the hypothenuse... | |
 | Euclides - 1856 - 168 pages
...squares BG, C H. XLVII.— EUCLID I. 48. If the square described upon one of the sides of a triangle be equal to the sum of the squares described on the two other sides, the angle contained by these two sides is a right angle. Let ABC (Fig. 37) be a triangle such that... | |
 | Isaac Todhunter - Measurement - 1869 - 312 pages
...Hence two triangles which have the same base and equal heights are equivalent. 30. In any right-angled triangle the square described on the hypotenuse is equal to the sum of the squares described on the sides. The figure represents a right-angled triangle having squares... | |
 | Albert Newton Raub - Arithmetic - 1877 - 348 pages
...been established by Geometry : 1. The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the two other sides. 2. The square of the base, or of the perpendicular, of a rightangled triangle is equal to the square... | |
 | Isaac Todhunter - Philosophy - 1877 - 452 pages
...2500 years ago, and that he offered 100 oxen in sacrifice to shew his gratitude: In, any right-angled triangle the square described on the hypotenuse is equal to the sum of the squares described on the sides. 33. In the Mensuration it is explained how the truth of the... | |
 | Claudius Saunier - Clock and watch industry - 1881 - 590 pages
...triangle. — The square described on the longest side, termed the hypothenuse (B, fig. 2, plate I.), is equal to the sum of the squares described on the two other sides. Hence it follows that, if the lengths of the two shorter sides are known, that of the hypothenuse can... | |
 | International Correspondence Schools - Electrical engineering - 1897 - 346 pages
...the sides in (1), 24X8 AD : 8 = 24 : 18; whence AD = • 18 = lOf. Ans. FIG385. In any right-angled triangle, the square described on the hypotenuse is equal to the sum of the squares described upon the other two sides. If ABC, Fig. 28, is a right-angled triangle, rightangled... | |
 | 1897 - 366 pages
...values for the sides in (1), AD:8 = Zl : 18; whence AD- -^— = lOf. Ans. lo 385. In any right-angled triangle, the square described on the hypotenuse is equal to the sum of the squares described upon the other two sides. If ABC, Fig. 28, is a right-angled triangle, rightangled... | |
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In any right-angled triangle, the square described on the hypotenuse is equal to the sum of the squares described upon the other two sides. 
