 | Robert Blakey - Ethics - 1833 - 378 pages
...manifest to us by the exercise of the judgment or understanding. Were we to say that a man has faith in the proposition that the square of the hypothenuse is equal to the square of the other two sides, or that two and two make four, we would not only be departing from tbe... | |
 | William Smyth - Plane trigonometry - 1834 - 94 pages
...third. This case, however, may be solved by means of the known property of a right angled triangle, viz. the square of the hypothenuse is equal to the sum of the squares of the two sides. It may moreover be resolved with facility by means of the two propositions... | |
 | Ralph Wardlaw - Christian ethics - 1834 - 480 pages
...nothing," equivalent to the affirmation that there really was nothing for the comparing mind to perceive ? The proposition, that the square of the hypothenuse is equal to the squares of the other two sides, is a proposition which does not surely express a relation between the... | |
 | Abel Flint - Geometry - 1835 - 368 pages
...without finding the angles ; according to the following PROPOSITION ; IN EVERY RIGHT ANGLED TRIANGLE, THE SQUARE OF THE HYPOTHENUSE IS EQUAL TO THE SUM OF THE SQUARES OF THE TWO LEGS. HENCE, THE SQUARE OF THE GIVEN LEG BEING SUBTRACTED FROM THE SQUARE OF THE... | |
 | W. H. Spiller - Algebra - 1835 - 210 pages
...root, . 2x + 15 = ± 21 ; ,., = ! = , Ex 22. Here, we will suppose the hypothenuse to be x ; then, as the square of the hypothenuse is equal to the sum of the squares of the sides in a right-angled triangle, we shall have or *s = 2r!— 18* +45; transpo. and... | |
 | Jeremiah Day - Measurement - 1836 - 418 pages
...able to explain them, whenever they are referred to. 94. Other relations of the sine, tangent, Sic. may be derived from the proposition, that the square of the hypothenuse is equal to the sum of the squares of the perpendicular sides. (Euc. 47. 10 In the_right angled triangles CBG, CAD, and CHF, (Fig.... | |
 | Adrien Marie Legendre - Geometry - 1836 - 394 pages
...may be found by the first two theorems ; or if two of the sides are given, by means of the property, that the square of the hypothenuse is equal to the sum of the squares of the other two sides. EXAMPLES. Ex. 1. In the right angled triangle BCA, there are given... | |
 | Alexander Jamieson - Fluid mechanics - 1837 - 516 pages
...the sides DH and CE ; that is, tf=\(xy). Consequently, by the property of the right angled triangle, that the square of the hypothenuse is equal to the sum of the squares of the base and perpendicular, we shall have (i,y =*• + «*—y)'; and by extracting the... | |
 | Charles Davies - Navigation - 1837 - 342 pages
...found by either of the four last cases : or, if two of the sides are given, by means of the property that the square of the hypothenuse is equal to the sum of the squares of the other two sides. Or the parts may be found by Theorem V. EXAMPLES. 1. In a right-angled... | |
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... the square of the hypothenuse is equal to the sum of the squares of the other two sides. 
