| W J. Dickinson - Geometry - 1879 - 44 pages
...is a rectangle, and 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...undivided line, and the several parts of the divided line. 2. Prove that if a straight line be divided into any two parts, the rectangles contained by the whole... | |
| Euclides - 1879 - 146 pages
...contained by AB and CD,' < rect. AB, CD.'] PROPOSITION I. THEOREM. If there be two straight lines, one of which is divided into any number of parts, the...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... | |
| Isaac Sharpless - Geometry - 1879 - 282 pages
...expressed by the letters 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...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... | |
| Moffatt and Paige - 1879 - 506 pages
...the parallelograms which make the gnomon. Proposition I. Theorem. If there be two straight lines, one of which is divided into any number of parts, the...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... | |
| Oxford univ, local exams - 1880 - 396 pages
...two straight lines 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...contained by the two straight lines is equal to the rectangles contained by the undivided line and the several parts of the divided line. 4. Parallelograms... | |
| Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...and FC, may he 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...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... | |
| 1880 - 594 pages
...side of a parallelogram which shall bisect the parallelogram. 2. If there be two straight lines, one of which is divided into any number of parts, the...contained by the two straight lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line. What is the... | |
| Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...which make 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 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... | |
| Moffatt and Paige - 1881 - 176 pages
...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. 3. If a straight line be divided into two equal, and also into two unequal parts ; the squares on the... | |
| Euclides - Euclid's Elements - 1881 - 236 pages
...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... | |
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