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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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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
...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 are equal, their squares are equal also, therefore 2 EB- = A B2,...
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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, Thomas Gamaliel Bradford, Henry Vethake - Encyclopedias and dictionaries - 1832 - 626 pages
...The three angles of a triangle ore 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 last is still called the Pythagorean theorem (also magister matheteos),...
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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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Elements of Plane Trigonometry

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...
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