Books Books 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. The First Book of Euclid's Elements, Simplified, Explained, and Illustrated ... - Page 104
by Euclides - 1847 ## Guide to the army - competitive examinations

Alexander Hadden Hutchinson - 1861 - 128 pages
...equal to ^ if 1 be added to its denominator ; determine the fraction. Euclid. 1. In any right angled triangle the square which is described upon the side...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... ## 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
...every parallelogram that has one right angle has all its angles right angles. PROP. XL VII.— THEOREM. In any right-angled triangle, the square which is...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
...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 - 72 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... ## 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... ## 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... ## Papers for the schoolmaster, Volume 4

1868 - 344 pages
...triangle, and have for one of its sides a side of the triangle. 2. In uny right angled triangle, Ihe square described upon the side subtending the right angle...described upon the sides which contain the right angle. ABCD, BE F (j, are two squares upon the same, sides ol the straight line ABE, aud on opposite sides... 