 | 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... | |
 | 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,... | |
 | 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,... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | Edinburgh univ - 1868 - 336 pages
...the length of a chord through either focus at right angles to the major axis. 24^/4 March 1868. 1. In any right-angled triangle, the square which is...angle, is equal to the squares described upon the sides containing the right angle. 2. The sum of the squares of the diameters of any parallelogram is equal... | |
 | 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... | |
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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. 
