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" In any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle. "
A complete set of male pupil teachers' examination questions in Euclid [book ... - Side 13
av W J. Dickinson - 1879 - 36 sider
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 332 sider
...that has one right angle has all its angles right angles. PROP. XLVII. THEOR. ' In any right angled triangle, the square which is described upon the side...described upon the sides which contain the right angle. Let ABC be a right angled triangle having the right angle BAC ; the square described upon the side...
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Chambers's information for the people, ed. by W. and R. Chambers, Volum 2

Chambers W. and R., ltd - 1842 - 744 sider
...demonstration, to Euclid himself. In any right-angled triangle, the square which is described upon the sides subtending the right angle, is equal to the squares...described upon the sides which contain the right angle. Let ABC be a right-angled triangle, having the right angle BAC ; the square, described upon the side...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 sider
...right-angled triangle, the square which __ described upon the side subtending the right angle, is equivalent to the squares described upon the sides which contain the right angle. Let ABC be a right-angled triangle having the right angle BAC: the square described upon the side вc...
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The Freemason's Monitor: Containing a Delineation of the Fundamental ...

Z. A. Davis - 1843 - 408 sider
...FORTY-SEVENTH PROBLEM OF EUCLID.* This was an invention of our ancient friend and b-other, * THEOREM.] — In any right-angled triangle, the square which is...described upon the sides which contain the right angle. — Euclid, lib. i. prop. 47. the great Pythagoras, who, in his travels through Asia, Africa and Europe,...
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A course of practical geometry for mechanics

William Pease - 1843 - 80 sider
...line from A to C, when AC shall be the side of a square equal to the two given squares. Reason : " In any right-angled triangle, the square which is described upon the side subtending the right-angle, is equal to the squares described upon the sides which contain the right angle." If a...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 218 sider
...parallelogram that has one right angle has all its angles right angles. PROPOSITION XL VII. THEOR. — In any right-angled triangle, the square which is...described upon the sides which contain the right angle. Let ABC be a right-angled triangle having the right angle BAC ; the square described upon the side...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 sider
...parallelogram that has one right angle, has all its angles right angles. PROPOSITION XLVII. THEOREM. In any right-angled triangle, the square which is...described upon the sides which contain the right angle. Let ABC be a right-angled triangle, having the right angle BAC. Then the square described upon the...
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - 382 sider
...THEOR. — In any right-angled triangle, the square which is described upon the hypotenuse, that is, the side subtending the right angle, is equal to the...described upon the sides which contain the right angle. Let ABC be a right-angled triangle, having the right angle BAC ; the square described upon the hypotenuse...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1846 - 334 sider
...parallelogram that has one right angle has all its angles right angles. PROP. XLVII. THEOR. In any right angled triangle, the square which is described upon the side...described upon the sides which contain the right angle. Let ABC be a right angled triangle having the right angle BAC ; the square described upon the side...
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The London University Calendar

London univ - 1846 - 326 sider
...are about the diameter of any .parallelogram are equal. 8. In any right-angled triangle, prove that the square which is described upon the side subtending...described upon the sides which contain the right angle. described upon the two sides are together equivalent to a parallelogram described upon the base, and...
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