| 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... | |
| 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
...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,... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 1868 - 886 pages
...the same parallels, are equal to one another 15 3. In any right -angled triangle, the square \rhieh **is described upon the side subtending the right angle is equal to the squares described upon the** wdes which contain the right angle 20 4. If ii straight line IK- bisected and produced to any point,... | |
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