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" ... the square of the hypothenuse is equal to the sum of the squares of the other two sides. "
A Course of Mathematics: Containing the Principles of Plane Trigonometry ... - Page 55
by Jeremiah Day - 1839 - 370 pages
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Elements of Surveying: Including a Description of the Instruments and 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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Mechanics of Fluids for Practical Men: Comprising Hydrostatics, Descriptive ...

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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The Journal [afterw.] The Madras journal of literature and ..., Volumes 5-6

Madras literary society - 1837 - 996 pages
...which AE is the other kg, and AB, is the third side, or hypothenuse. 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,— BE8 -f- AE JL AB* : but as BE,...
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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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A Course of Mathematics: Containing the Principles of Plane ..., Volumes 1-3

Jeremiah Day - Geometry - 1838 - 416 pages
...manner of stating them from the figure, as to be able to explain them, whenever they are referred to. 94. Other relations of the sine, tangent, &c., may...square of the hypothenuse is equal to the sum of the squares of the perpendicular sides. (Euc. 47. 1.) In the right angled triangles CBG, CAD, and CHF....
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Elements of Trigonometry, Plane and Spherical: Adapted to the Present State ...

Charles William Hackley - Trigonometry - 1838 - 328 pages
...last, and a very simple formula depending upon the well known property of the right angled triangle, that the square of the hypothenuse is equal to the sum of the squares of the other two sides, a formula expressing the value of the sine of half an arc in terms...
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Iron: An Illustrated Weekly Journal for Iron and Steel ..., Volume 29

Perry Fairfax Nursey - Industrial arts - 1838 - 510 pages
...К is the other leg, and AB, is the third side, or hypothenuse. 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, В Е=+Л E-' = A ß2: but as BE,...
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Mechanics' Magazine, Volume 29

Technology - 1838 - 510 pages
...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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Elements of Surveying: With a Description of the Instruments and the ...

Charles Davies - Surveying - 1839 - 376 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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Elements of Surveying: With a Description of the Instruments and the ...

Charles Davies - Surveying - 1839 - 376 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. l. In a right-angled...
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