| 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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