| Euclid - 1826 - 234 էջ
...нс, are the squares described on BA, AC. Therefore the square described on the side вс, subtending the right angle, is equal to the squares described on the sides BA, AC, containing the right angle. Therefore in right angled triangles, &с. QED Deductions. 1. Describe... | |
| Euclides - 1826 - 226 էջ
...нс, are the squares described on BA, AC. Therefore the square described on the side вс, subtending the right angle, is equal to the squares described on the sides BA, AC, containing the right angle. Therefore iu right angled, triangles, &c. QED Deductions. 1. Describe... | |
| George Darley - 1828 - 190 էջ
...TRIGONOMETRICAL, COMPANION, where its details will be set forth under a more convenient aspect. ART. 47- " In any right-angled triangle the square described...sides containing the right angle, taken together." This theorem, at the same time that it unfolds one of the most remarkable truths in the whole world... | |
| George Darley - 1836 - 172 էջ
...a corresponding side of the other—these triangles arc in every respect equal to each other, ibid. opposite the right angle is equal to the squares described...sides containing the right angle, taken together, 33. ART. 48. The centre of a circle falls within the circumference, 41. ART. 49. A circle cannot have... | |
| Francis James Jameson - 1851 - 144 էջ
...Therefore CE = ED. 1851. (A}. In any right-angled triangle, the square described upon the side subtending the right angle is equal to the squares described on the sides which contain the right angle. (l. 47.) (B). If ABC be a triangle whose angle A is a right angle, and... | |
| Euclides - 1853 - 334 էջ
...BDEC is equal to the two squares GB, HC ; that is, the square described on the side BC, opposite to the right angle, is equal to the squares described on the sides AB, AC, including the right angle. Which was to be proved. PEOP. XLVIII. THEOE. If the square described... | |
| War office - 1861 - 714 էջ
...greater angle. 2. 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 containing the right angle. VOLUNTARY PORTION. 1. Describe an isosceles triangle having each of the angles at the base double of... | |
| Robert Potts - 1863 - 482 էջ
...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 his brain were... | |
| University of Oxford - 1863 - 316 էջ
...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 square on the... | |
| Euclid, Isaac Todhunter - 1867 - 426 էջ
...PEOPOSITION 47. THEOREM. 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 H Let ABC be a right-angled triangle, having the right angle BA C : the square... | |
| |