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" If the square described upon one of the sides of a triangle, be equal to the squares described upon the other two sides of it; the angle contained by these two sides is a right angle. "
Elements of geometry and mensuration - Page 32
by Thomas Lund - 1854 - 192 pages
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Euclid's plane geometry, practically applied; book i, with explanatory notes ...

Euclides - 1863 - 74 pages
...the level of the earth's curvature. PKOP. 48.— THKOH. — (Converse of the 4~th.) If the squares described upon one of the sides of a triangle be equal to the squares described upon the other two sides oj it ; the angle contained by the two sides is a rt. angle....
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 pages
...the sides AB, AC. Therefore, in any right-angled triangle, &c. QE a. PROPOSITION' XLVIII. THEOREM. If the square described upon one of the sides of a triangle, be equal to the squares described upon the other two iides of it ; the angle contained bg thrie tiro sides is a right...
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Report on Education in the Parochial Schools of the Counties of Aberdeen ...

Simon Somerville Laurie - Dick bequest for elevating the character and position of the parochial schools and schoolmasters in the counties of Aberdeen, Banff and Moray - 1865 - 432 pages
...What consequence can be deduced from it, if it be admitted ? 2. If the square described upon one side of a triangle be equal to the sum of the squares described upon the other two sides of it, the angle contained by these two sides is a right angle. 3. If a straight line be divided into two equal and...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 pages
...to the square described upon the sides which contain the right angle . . I. 47. 10. And conversely, if the square described upon one of the sides of a triangle be equal to the squares described upon the other two sides of it, the angle contained by these two sides is a right...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - Geometry - 1855 - 350 pages
...their third side* will also be equal, and the triangles will be identical. PROP. XLVIII. THEOR. If tfie square described upon one of the sides of a triangle, be equal to M» squares described upon the other two sides of it ; the angle contained by these turn sides is a...
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Present Status of the Philosophy of Society: A Treatise Designed to Show the ...

Leland A. Webster - Sociology - 1866 - 372 pages
...square described upon the hypothenuse of a right-angled triangle be otherwise than precisely equivalent to the sum of the squares described upon the other two sides. The integral and differential calculus of this mathematics, however, as manifested in the complex activities...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 pages
...upon the sides AB, A C. Therefore, in any right-angled triangle, &c. QED PROPOSITION XLVin. THEOREM. If the square described upon one of the sides of a triangle, be equal to the squares described upon the other two tide* of it ; the angle contained by these two sides it a right...
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Report of the commissioners, Volume 6

Schools inquiry commission - Education - 1868 - 532 pages
...share being 7/. 10s. Orf. 5. A is twice, and В is just one and a half times as good a workman as C. 1. If the square described upon one of the sides of a triangle be equal to the squares described upon the two other sides of it, then the angle contained by those two other sides...
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Willis's Current notes

Willis's Current notes - Education - 1868 - 804 pages
...Draw through a given poiut, a straight line parallel to a given straight line ? 2. Prove that if a square described upon one of the sides of a triangle be equal to the squares described upon the other two sides of it, the angles contained by these sides is a right angle...
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Report of the commissioners, Volume 7

Schools inquiry commission - Education - 1868 - 682 pages
...trouvons pas notre repos en nous-mêmes il Test inutile de le chercher ailleurs. 30 100 1. If thé square described upon one of the sides of a triangle be equal to the squares described upon the two other sides of it, then the angle contained by those two other sides...
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