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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. "
Solutions of the Cambridge Problems: From 1800 to 1820 - Pagina 654
door John Martin Frederick Wright - 1825 - 653 pagina’s
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 380 pagina’s
...its angles right angles. PROPOSITION XLVII. THEOREM. 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 lchich contain the right angle. Let ^Z?Cbe a right-angled triangle, having the right angle BA C. Then...
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Guide to the army - competitive examinations

Alexander Hadden Hutchinson - 1861 - 128 pagina’s
...its denominator ; determine the fraction. Euclid. 1. In any right angled triangle the square which is described upon the side subtending the right angle...described upon the sides which contain the right angle. 2. If a straight line be divided into two equal and also into two unequal parts, the rectangle contained...
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Temple Bar, Volume 2

1861 - 578 pagina’s
...proposition of the first book, and reading thus : " In any right-angled triangle, the square which is described upon the side subtending the right angle is equal to the sum of the squares described upon the sides which contain the right angle." But our imaginary friend...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 714 pagina’s
...capital of B, what did they each start with. Euclid. 1. In a right angled triangle, the square which is described upon the side subtending the right' angle, is equal to the sum of the squares described upon the sides which contain the right angle. 2. From a given circle,...
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 pagina’s
...all its angles right angles. PROP. XL VII.— THEOREM. In any right-angled triangle, the square which is described upon the side subtending the right angle,...described upon the sides which contain the right angle. (References— Prop. i. 4, 14, 31, 41, 46; ax. 2, 6, 11; def. 30.) Let ABC be a right-angled triangle,...
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 pagina’s
...47.— THEOREM. In any right-angled triangle, the square which is described upon the side opposite to the right angle, is equal to the squares described upon the sides which contain the right angle. (References— Prop. I. 4, 14, 31, 41, 46; ax. 2, 6, 11; def. 30.) Hypothesis. — Let ABC be a right-angled...
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Responsions

University of Oxford - 1863 - 316 pagina’s
...line equal to a given straight line. 8. In any right-angled triangle, the square which is described on the side subtending the right angle is equal to the squares described on the sides which contain the right angle. 9. If a straight line be divided into any two parts, the...
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Liber Cantabrigiensis: An Account of the Aids Afforded to Poor ..., Volume 2

Robert Potts - 1863 - 482 pagina’s
...intersection of its diagonals move ? 10. In any right-angled triangle, the square which is described on the side subtending the right angle is equal to the squares described on the sides which contain the right angle. If a man's head were a sphere of 10 inches diameter, and...
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Examination papers collected by A. Clark as a student and as an examiner

1867 - 224 pagina’s
...together equal to two right angles. 7. In any right-angled triangle, the square which is described on the side subtending the right angle is equal to the squares described on the sides which contain the right angle. [Turn over. 8. Divide a given straight line into two parts,...
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Linear Drawing: Showing the Application of Practical Geometry to Trade and ...

Ellis A. Davidson - 1869 - 140 pagina’s
...Now, according to Euclid (Book I., prop, xlvii.), " In any right-angled triangle, the square which is described upon the side subtending the right angle,...described upon the sides which contain the right angle." And it will be seen that ABE is a right-angled triangle, and that the squares ABCD and BEFG LINEAR...
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