 | War office - 1861 - 714 pagina’s
...then found that 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...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,... | |
 | 1861 - 578 pagina’s
...Elements " at the forty-seventh 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... | |
 | Euclides - 1862 - 172 pagina’s
...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 side...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... | |
 | Euclides - 1864 - 448 pagina’s
...angles a right angle, has all its angles right angles. PROPOSITION XLVII. THEOREM. In any right-angled triangle, the square which is described upon the side...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... | |
 | Queensland. Department of Public Instruction - 1866 - 336 pagina’s
...difference of any two sides of a triangle is less than the third side. 4. Prove that in any right-angled triangle, the square which is described upon the side...described upon the sides which contain the right angle. Exhibit to the eye the truth of this proposition in the case of a triangle whose sides are 3, 4, and... | |
 | Ellis A. Davidson - 1869 - 140 pagina’s
...other, as BE. Draw the line A E. Now, according to Euclid (Book I., prop, xlvii.), " In any right-angled triangle, the square which is described upon the side...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... | |
 | Edinburgh univ - 1868 - 336 pagina’s
...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 described upon the side...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... | |
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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. 
