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" the square of the hypothenuse equals the sum of the squares of the other two sides, "
The elements of plane and spherical trigonometry. [With] Key - Page 99
by William Rossiter - 1868
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The Chinese, Volume 2

sir John Francis Davis (1st bart.) - 1836 - 484 pages
...in these exact proportions that such a clumsy sort of proof can be given of the proposition, that " the square of the hypothenuse equals the sum of the squares of the other two sides," or 25 = 16 + 9. Mr. Barrow has observed, that the open and closed points connected...
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The Chinese: A General Description of China and Its Inhabitants, Volume 2

Sir John Francis Davis - China - 1840 - 422 pages
...-'" these exact proportions that such a clumsy sort of proof can be given of the proposition, that " the square of the hypothenuse equals the sum of the squares of the other two sides," or 25=16-|-9. Mr. Barrow has observed, that the open and closed points connected...
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New Elements of Geometry

Seba Smith - Geometry - 1850 - 214 pages
...respectively equal. PROPOSITION LXE. The grand theorem of Pythagoras. — In every rightangled triangle, the square of the hypothenuse equals the sum of the squares of the other two sides. REMARK. — More than two thousand years ago this beautiful and important truth...
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The Chinese, Volumes 3-4

Sir John Francis Davis - 1846 - 514 pages
...in these exact proportions that such a clumsy sort of proof can be given of the proposition, that " the square of the hypothenuse equals the sum of the squares of the other two sides," or 25=16 + 9. Mr. Barrow has observed, that the open and closed Eoints connected...
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The Bibliotheca Sacra and American Biblical Repository, Volume 12

Theology - 1855 - 900 pages
...that tJie three angles of a triangle are equal to two right angles, or that in a right angled triangle the square of the hypothenuse equals the sum of the squares of the legs, and, with some previous training and preparation, he may be able to construct an original...
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Arithmetic and Its Applications: Designed as a Text Book for Common Schools ...

Dana Pond Colburn - Arithmetic - 1855 - 396 pages
...right-angled triangle is called the hypotlienuse. In figure 2 the side AC is the hypothenu.se. (6.) The square of the hypothenuse equals the sum of the squares of the other two sides. (c.) The annexed figure will illustrate the meaning of this. Its truth can be...
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China: A General Description of that Empire and Its Inhabitants ..., Volume 2

Sir John Francis Davis - China - 1857 - 442 pages
...in these exact proportions that such a clumsy sort of proof can be given of the proposition, that " the square of the hypothenuse equals the sum of the squares of the other two sides," or 25 = 16 + 9. Mr. Barrow has observed that the open and closed points connected...
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The Common-school Arithmetic: a Practical Treatise on the Science of Numbers

Dana Pond Colburn - 1858 - 288 pages
...Problems. (a.) The side opposite the right angle of a right-angled triangle is called the hypothenuse. The square of the hypothenuse equals the sum of the squares of the other two sides. NOTE. — This is illustrated by the annexed figure, and can be rigidly demonstrated...
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Arithmetic and Its Applications: Designed as a Text Book for Common Schools ...

Dana Pond Colburn - Arithmetic - 1860 - 388 pages
...right-angled triangle is called the hypothenuse. In figure 2 the side AC is the hypothenuse. (ft.) The square of the hypothenuse equals the sum of the squares of the other two i.deB. (p.) The annexed figure will illustrate the u.tiinmg of this. Its truth can be...
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The Normal Written Arithmetic: By Analysis and Synthesis, Designed for ...

Edward Brooks - 1863 - 344 pages
...Perpendicular. In right angled triangles we have the following principles from geometry : — Base. PaiN. I. — The square of the hypothenuse equals the sum of the squares of the other two sides. . PRIN. II. — Hence the square of either side equals the square of the hypothenuse...
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