| Āryabhaṭa - 1878 - 100 pages
...PKOP. A, THEOREM. (E. 2. I). If there be two straight lines, one of whieh is divided in I •any two **parts, the rectangle contained by the two straight lines is equal to the rectangles contained by the** undivided line and the parts of the divided line. In the above figure, let BC and BL be two straight... | |
| Moffatt and Paige - 1879 - 506 pages
...which make the gnomon. Proposition I. Theorem. If there be two straight lines, one of which is divided **into any number of parts, the rectangle contained...lines is equal to the rectangles contained by the** undivided line and the several parts of the divided line. Let A and BC be two straight lines, and let... | |
| Isaac Sharpless - Geometry - 1879 - 282 pages
...DFH or BEG. E K Proposition 1. H Theorem. — If there be two straight lines, one of which is divided **into any number of parts, the rectangle contained...lines, is equal to the rectangles contained by the** undivided line and the several parts of the divided line. Let A and BC be two straight lines ; and... | |
| W J. Dickinson - Geometry - 1879 - 44 pages
...how. is it said to be contained? Prove that if there be two straight lines, one of which is divided **into any number of parts, the rectangle contained by the two straight lines is equal to. the** sum of the rectangles contained by the undivided line, and the several parts of the divided line. 2.... | |
| Euclides - 1879 - 146 pages
...CD,' < rect. AB, CD.'] PROPOSITION I. THEOREM. If there be two straight lines, one of which is divided **into any number of parts, the rectangle contained by the two straight lines is equal to the** rectangle contained by the undivided line, and the several parts of the divided line. Let AB and CD... | |
| Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...termed the gnomon EHC or AGK. PROP. I. THEOREM. If there be two straight lines, one of which is divided **into any number of parts, the rectangle contained...lines is equal to the rectangles contained by the** undivided line and the several parts of the divided line. Let A and BC be two straight lines, one of... | |
| Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...the gnomon. g — gPROPOSITION 1. THEOREM. If there be two straight lines, one of which it divided **into any number of parts, the rectangle contained...lines is equal to the rectangles contained by the** undivided line, and the several parts of the divided line. Let A and BC be two straight lines ; and... | |
| Oxford univ, local exams - 1880 - 394 pages
...shall be in one and the same straight line. 3. If there be two straight lines, one of which is divided **into any number of parts, the rectangle contained...lines is equal to the rectangles contained by the** undivided line and the several parts of the divided line. 4. Parallelograms on equal bases, and between... | |
| 1880 - 594 pages
...parallelogram which shall bisect the parallelogram. 2. If there be two straight lines, one of which is divided **into any number of parts, the rectangle contained...lines is equal to the rectangles contained by the** undivided line, and the several parts of the divided line. What is the corresponding formula of Algebra... | |
| Moffatt and Paige - 1881 - 176 pages
...be algebraically represented by £ a b. 2. If there be two straight lines, one of which is divided **into any number of parts ; the rectangle contained...lines is equal to the rectangles contained by the** undivided line and the several parts of the divided line. 3. If a straight line be divided into two... | |
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