| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
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