| Robert Potts - Geometry, Plane - 1860 - 361 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
...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
...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
...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
...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
...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
...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
...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... | |
| Horatio Nelson Robinson - Conic sections - 1865 - 444 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.... | |
| John Playfair - Geometry - 1855 - 317 pages
...straight lines, one of which is divided into any number ej parts ; the rectangle contained by the two **straight lines is equal to the rectangles contained by the undivided line, and the several parts** nj the divided line. Let A and BC be two straight lines ; and let BC be divided into any parts in the... | |
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