| Robert Mudie - 1836 - عدد الصفحات: 542
...constant ratio of equality between the square • of the hypotenuse of a right-angled triangle, and the sum of the squares of the two sides containing the right angle ; we are enabled to substitute either quantities generally as expressed by algebraical notation, or... | |
| John Gummere - 1836 - عدد الصفحات: 412
...logarithm of their difference ; half this sum will be the logarithm of the leg required. * DEMONSTRATION. The square of the hypothenuse of a right-angled triangle is equal to the gum of the squares of the sides (47.1.) Therefore the Hulli of the first part of each of the rules... | |
| Thomas Dick - 1840 - عدد الصفحات: 454
...extraction of the Square Root ; but no figure or explanation is given, excepting the following foot-note. " The square of the hypothenuse of a right-angled triangle, is equal to the sum of the squares of the other two sides." It should be represented as under. 44 Miles. GLASGOW EDINBURGH... | |
| Adrien Marie Legendre - 1841 - عدد الصفحات: 288
...algebraic formula (a +6) X (a — 6) = (a2 — 62) (Alg. 34). THEOREM. 186. The square described upon the hypothenuse of a rightangled triangle is equal to the sum of the squares described upon the two otter sides. fig 109. Demonstration. Let ABC (fig. 109) be a triangle... | |
| Justus freiherr von Liebig - 1844 - عدد الصفحات: 242
...had been seen in practical examples, before the science was established by abstract reasoning. Thus, that the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the other two sides, was an experimental discovery, or why did the discoverer sacrifice... | |
| Voltaire - 1843 - عدد الصفحات: 644
...between a cone and a sphere, is not of j the sect of Archimedes ; and he who \ perceived that the squares of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the other two sides, is in consequence a Pythagorean. W hen we вау that the blood... | |
| John Hill Burton - 1843 - عدد الصفحات: 92
...proof: but, if it were not demonstrated, a link would be lost in the chain of reasoning which shows that the square of the hypothenuse of a right-angled triangle is equal to the squares of the other two sides. Though men admitted the evil effect of murder, they had not followed... | |
| Jeremy Bentham - 1843 - عدد الصفحات: 416
...proof: but, if it were not demonstrated, a link would be lost in the chain of reasoning which shows that the square of the hypothenuse of a right-angled triangle is equal to the squares of the other two sides. Though men admitted the evil effect of murder, they had not followed... | |
| Willis Hall - 1844 - عدد الصفحات: 46
...resemblance between the definition of a straight line and the celebrated Pythagorean demonstration that the square of the hypothenuse of a rightangled triangle is equal to the sum of the squares of the two sides, so we may be able to trace but little resemblance between the great law... | |
| Robert Griffith Hatfield - 1845 - عدد الصفحات: 326
...and c taken together, must therefore, (Art. 153,) be a right angle. Fig. 108. 157. — Proposition. The square of the hypothenuse of a right-angled triangle, is equal to the squares of the two remaining sides. Let abc, (Fig. 108,) be a given right-angled triangle, having... | |
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