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" The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302. "
The Journal [afterw.] The Madras journal of literature and science, ed. by J ... - Page 297
by Madras literary society - 1837
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New Monthly Magazine, and Universal Register, Volume 45

Thomas Campbell, Samuel Carter Hall, Edward Bulwer Lytton Baron Lytton, Theodore Edward Hook, Thomas Hood, William Harrison Ainsworth, William Ainsworth - 1835 - 570 pages
...three angles of a triangle are equal to two right angles ; and also, that in any right-angled triangle the square of the hypothenuse is equal to the sum of the squares of the other two sides. In like manner did this ingenious gentleman demonstrate, that it was...
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A System of Geometry and Trigonometry: With a Treatise on Surveying; in ...

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...
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Key to Professor Young's Algebra

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...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1836 - 394 pages
...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...
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Mechanics of Fluids for Practical Men: Comprising Hydrostatics, Descriptive ...

Alexander Jamieson - Fluid mechanics - 1837 - 516 pages
...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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Elements of Surveying: Including a Description of the Instruments and the ...

Charles Davies - Navigation - 1837 - 342 pages
...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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A New System of Arithmetic, on the Cancelling Plan: Embracing the Rules of ...

Charles Guilford Burnham - Arithmetic - 1837 - 266 pages
...the hypothenuse, having the other two sides given ? Base. 9 2 AC=9=81 In every right angled triangle, the square of the hypothenuse is equal to the sum of the squares of the base and perpendicular ; therefore, the square root of the sum of the squares of the...
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Iron: An Illustrated Weekly Journal for Iron and Steel ..., Volume 29

Perry Fairfax Nursey - Industrial arts - 1838 - 510 pages
...radius ; and EB is one leg or side of the right angle triangle AEB, of which А К is the other leg, and AB, is the third side, or hypothenuse. Then, as...square of the hypothenuse is equal to the sum of the squares of the other two sides, in the right angle triangle AEB, В Е=+Л E-' = A 2: but as BE,...
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The Mechanic's Magazine, Museum, Register, Journal and Gazette, Volume 29

1838 - 520 pages
...the radius ; and EB is one leg or side of the right angle triangle AEB, of which AE is the other leg, and AB, is the third side, or hypothenuse. Then, as...square of the hypothenuse is equal to the sum of the squares of the other two sides, in the right angle triangle AEB, B Es+ A E' = A B': but as BE, and...
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Mechanics' Magazine, Volume 29

Technology - 1838 - 510 pages
...hypothenuses А B, BC, CD, and AD, also equal, and together forming an inscribed square to the circle AB C D. Then, as in right angle triangles, the square of the hypothenuse is equal to the sum of the squares of the other two sides, in the right angle triangle AEB, B Е 2 +Л E 2 = AB 2 : but as BE,...
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