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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. "
Elements of Geometry - Page 67
by Adrien Marie Legendre - 1841 - 235 pages
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Elements of Analytic Trigonometry: Plane and Spherical

Ferdinand Rudolph Hassler - Trigonometry - 1826 - 208 pages
...three sides ; to find the Surface of the triangle. By the theorem of geometry, so often employed : that the square of the hypothenuse is equal to the sum of the squares of the two sides, and expressing the parts by trigonometry, as in section 56, we find : BD...
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The Practical Analyst: Or, A Treatise on Algebra, Containing the Most Useful ...

Enoch Lewis - Algebra - 1826 - 180 pages
...compound, it is called an adfected quadratic equation. * To solve this problem, it must be recollected that the square of the hypothenuse is equal to the sum of the squares of the other two sides, and that the area is half the product of those sides. RULE 1. Arrange...
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A Popular Exposition of the System of the Universe: With Plates ..., Volume 1

Ferdinand Rudolph Hassler - Astronomy - 1826 - 640 pages
...three sides; to find the Surface of the triangle. By the theorem of geometry, so often employed : that the square of the hypothenuse is equal to the sum of the squares of the two sides, and expressing the parts by trigonometry, as in section 56, we find : BD...
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American Quarterly Review, Volume 1

American literature - 1827 - 654 pages
...they are now no longer necessary in calculation. If to this we add the Pythagorean proposition, that the square of the hypothenuse is equal to the sum of the squares of the two sides, we have the basis upon which Mr. Hassler has built a complete system of the...
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The Mechanics' Magazine, Museum, Register, Journal, and Gazette, Volume 29

Industrial arts - 1838 - 520 pages
...AE 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, B E2+AW = A B2: but as BE, and AE...
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The Southern Review, Volume 3

1829 - 538 pages
...find the third, a more direct solution is obtained by the property of a nght angled triangle, that the square of the hypothenuse is equal to the sum of the squares of the other two sides. The substance of what has been previously said upon the resolution...
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Christian Examiner and Theological Review, Volume 4; Volume 9

Theology - 1830 - 418 pages
...to the gods, was very different from the strong thinking, which led to the geometrical truth that ' the square of the hypothenuse is equal to the sum of the squares of the two sides ' — and though the ardor of discovery animated the breast of the philosopher...
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Elements of Surveying

Charles Davies - Surveying - 1830 - 390 pages
...by either of the three last cases : or, if two of the sides be 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 Art. 46. Example 1.— In the right-angled...
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The Principles of Plane Trigonometry, Mensuration, Navigation and Surveying ...

Jeremiah Day - Measurement - 1831 - 394 pages
...the third side may be found, without the aid of the trigonometrical tables, by the proposition, that the square of the hypothenuse is equal to the sum of the squares of the two perpendicular sides. (Euc. 47. I.) If the legs be given, extracting the square root...
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Encyclopędia Americana: A Popular Dictionary of Arts, Sciences ..., Volume 10

Francis Lieber, Edward Wigglesworth - Encyclopedias and dictionaries - 1832 - 656 pages
...three angles of a triangle are together equal to two right angles ; and in aright-angled triangle, the square of the hypothenuse is equal to the sum of the squares of the two sides. This lust is still called the Pythagorean theorem (also magiater nuithtseos),...
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