| Robert Potts - Geometry, Plane - 1860 - 380 pages
...straight lines, one of which is divided into any number of parts; the rectangle contained by the two straight lines, is equal to the rectangles contained...and the several parts of the divided line, Let A and .BCbe two straight lines ; and let BC be divided into any parts SD, DE, EC, in the points D, E. Then... | |
| Euclides - 1860 - 288 pages
...straight lines, one of which is divided into any number of parts, the rectangle contained by the two straight lines is equal to the rectangles contained...undivided line, and the several parts of the divided line. Given the two straight lines A and BC, and let BC be divided into any parts in the points D, E ; to... | |
| Euclides - 1862 - 172 pages
...straight lines, one of which is divided into any number of parts ; then the rectangle contained by the two straight lines, is equal to the rectangles contained...undivided line, and the several parts of the divided line. (References— Prop. i. 3, 11, 31, 34.) Let A and BC be two straight lines; and let BC be divided into... | |
| Euclides - 1862 - 140 pages
...of which is dicided into any number of parts, the rectangle contained by the tiro straight lin<!,< is equal to the rectangles contained by the undivided line, and the several parts of the divided line. , (References— Prop. I. 3, 11, 31, 34.) Hypothesis. — Let A and BC be two straight lines ; and... | |
| University of Oxford - Education, Higher - 1863 - 316 pages
...straight lines, one of which is divided into any number of parts ; the rectangle contained by the two straight lines is equal to the rectangles contained...undivided line and the several parts of the divided line. 8 If a straight line be divided into two equal parts, and also into two unequal parts ; the rectangle... | |
| Euclides - 1864 - 448 pages
...straight lines, one of irhich is divided into any number of parts; the rectangle contained by the two straight lines, is equal to the rectangles contained...straight lines ; and let BC be divided into any parts BD, DE, EC, in ftfepoints D, E. Then the rectangle contained by the straight lines -flfcd BC, shall... | |
| Euclides - 1864 - 262 pages
...straight lines, one of tchich is divided into any number of parts ; the rectangle contained by the two straight lines, is equal to the rectangles contained...and the several parts of the divided line. Let A and BCbe two straight lines ; and let BC be divided into any parts BD, DE, EC, in the points D, E. Then... | |
| Euclides - 1865 - 402 pages
...straight lines, one of which is divided into any number of parts ; the rectangle contained by the two straight lines is equal to the rectangles contained...undivided line, and the several parts of the divided line. Prop. 2. If a straight line be divided into any two parts, the rectangles contained by the whole and... | |
| Robert Potts - 1865 - 528 pages
...straight lines, one of which is divided into any number of parts ; the rectangle contained by the two straight lines, is equal to the rectangles contained by the undivided line, and the several farts of the divided line. Let A and JBC be two straight lines ; and let BC be divided into any parts... | |
| Horatio Nelson Robinson - Conic sections - 1865 - 474 pages
...into any number of parts, the rectangle contained by the two lines is equal to the sum of the several rectangles contained by the undivided line and the several parts of the divided line. Let AB and AD be two lines, and suppose AB divided into any number of parts at the points E, F, G, etc.... | |
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