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. Euclid's Elements of Geometry - Page 135edited by - 1893 - 504 pagesFull view - About this book
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| Education, Higher - 1881 - 504 pages
...which the first eight propositions of Euclid II. prove. If there be two straight lines one of which be divided into any number of parts, the rectangle contained by the two lines is equal to the rectangles contained by the undivided line and the several parts of the divided... | |
| Education, Higher - 1882 - 498 pages
...the terms rectangle, gnomon, complements of a parallelogram. 8. 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. 10. Define the... | |
| Education - 1882 - 676 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... | |
| Mary W I. Shilleto - 1882 - 418 pages
...any point in it, these two are together equal to the first. 4. 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. Show how this... | |
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