 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...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 pages
...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... | |
 | War office - 1861 - 714 pages
...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,... | |
 | English periodicals - 1861 - 578 pages
...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 pages
...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 pages
...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 - Education, Higher - 1863 - 316 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... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...right angles. H PROPOSITION 47. THEOREM. In any right-angled triangle, ihe square which it described on the side subtending the right angle is equal to the squares described on the sides which contain the right angle. Let ABC be a right-angled triangle, having the right angle... | |
 | Ellis A. Davidson - Mechanical drawing - 1869 - 140 pages
...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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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. 
