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 rectangles contained by the undivided line, and the several parts of the divided line. A Supplement to the Elements of Euclid - Page 92by Daniel Cresswell - 1819 - 410 pagesFull view - About this book
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| Oxford univ, local exams - 1880 - 396 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... | |
| 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... | |
| 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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