| Robert Potts - 1860 - 380 pagina’s
...its angles right angles. PROPOSITION XLVII. THEOREM. 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 lchich contain the right angle. Let ^Z?Cbe a right-angled triangle, having the right angle BA C. Then... | |
| Alexander Hadden Hutchinson - 1861 - 128 pagina’s
...its denominator ; determine the fraction. Euclid. 1. In any right angled triangle the square which is described upon the side subtending the right angle...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... | |
| 1861 - 578 pagina’s
...proposition of the first book, and reading thus : " In any 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." But our imaginary friend... | |
| War office - 1861 - 714 pagina’s
...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 pagina’s
...all its angles right angles. PROP. XL VII.— THEOREM. In any right-angled triangle, the square which is described upon the side subtending the right angle,...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 pagina’s
...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 angle. (References— Prop. I. 4, 14, 31, 41, 46; ax. 2, 6, 11; def. 30.) Hypothesis. — Let ABC be a right-angled... | |
| University of Oxford - 1863 - 316 pagina’s
...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 pagina’s
...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... | |
| 1867 - 224 pagina’s
...together equal to two right angles. 7. 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. [Turn over. 8. Divide a given straight line into two parts,... | |
| Ellis A. Davidson - 1869 - 140 pagina’s
...Now, according to Euclid (Book I., prop, xlvii.), " In any right-angled triangle, the square which is described upon the side subtending the right angle,...described upon the sides which contain the right angle." And it will be seen that ABE is a right-angled triangle, and that the squares ABCD and BEFG LINEAR... | |
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