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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 companion to Euclid: being a help to the understanding and remembering of ... - Page 37
by Euclides - 1837 - 88 pages

## Temple Bar, Volume 2

English periodicals - 1861 - 578 pages
...by opening the " Elements " at the forty-seventh proposition of the first book, and reading thus : " In any right-angled triangle, the square which is...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...

## Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 714 pages
...A's capital is double the 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,...

## The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 pages
...Hence every parallelogram that has one right angle has all its angles right angles. PROP. XL VII.— THEOREM. In any right-angled triangle, the square...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,...

## Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 pages
...Hence every parallelogram that has one right angle has all its angles right angles. PROPOSITION 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...

## Euclid's plane geometry, practically applied; book i, with explanatory notes ...

Euclides - 1863 - 74 pages
...9 P. 34. 10 D. 7 & 6. 11 D.6,7, &9. 12 D. 3. 13 Def. 30. Puop. 47. — THEOR. — (Most Important.) In any right-angled triangle, the square which is described upon the side subtending, or opposite to, the right angle, is equal to the squares deacribed upon the sides containing the right...

## Responsions

University of Oxford - Education, Higher - 1863 - 328 pages
...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...

## Liber Cantabrigiensis: An Account of the Aids Afforded to Poor ..., Volume 2

Robert Potts - 1863 - 482 pages
...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...

## The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 pages
...parallelogram that has one of its angles a right angle, has all its angles right angles. PROPOSITION XLVII. THEOREM. In any right-angled triangle, the square...described upon the sides which contain the right angle. Let ABC be a right-angled triangle, having the right angle lSA C. Then the square described upon the...