 | Euclides - 1826 - 226 pages
...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... | |
 | Euclid - 1826 - 234 pages
...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... | |
 | George Darley - Geometry - 1828 - 190 pages
...our TRIGONOMETRICAL, COMPANION, where its details will be set forth under a more convenient aspect. ART. 47- " In any right-angled triangle the square...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... | |
 | Francis James Jameson - Mathematics - 1851 - 144 pages
...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 - Geometry - 1853 - 334 pages
...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 pages
...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... | |
 | University of Oxford - Education, Higher - 1863 - 316 pages
...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... | |
 | Robert Potts - 1863 - 482 pages
...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... | |
 | William Martin - Children's literature - 1866 - 426 pages
...infinite use in all the affairs of life. The curious properties of these are shown in the problems below. In any right-angled triangle, the square described...described on the sides AC, AB, BC, then ACDE is equal to AFGB and BHIC taken together. Dem. Draw BE, F 0, as also BK, parallel to A E. In the triangles ACP... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...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... | |
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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. 
