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
| 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 - 36 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
...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
...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
...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... | |
| Euclid, F. B. Harvey - Geometry - 1880 - 119 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 - 400 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 - 1880 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... | |
| Euclides - 1881
...PROPOSITION I. THEOREM. If there be two straight lines, one of which it divided into any number oj **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. Let A and BC be two straight lines; and... | |
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