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
| Euclides - 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 be two straight lines; and... | |
| Education, Higher - 1882
...gnomon, complements of a parallelogram. 8. 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. 10. Define the terms radius, arc, circumference,... | |
| Education - 1882
...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 in Algebra... | |
| Mary W I. Shilleto - 1882
...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 rectangle contained...lines is equal to the rectangles contained by the** undivided line and the several parts of the divided line. Show how this proposition is a geometrical... | |
| Marianne Nops - 1882
...whole line. (Particular case of II. 1.) II. A. If there be two straight lines, one of which is divided **into any number of parts, the rectangle contained by the two straight** h-nes is equal to the rectangles contained by the undivided line and the several parts of the divided... | |
| Stewart W. and co - 1884
...complements AF, FC, is the gnomon AGK, or EHC. I. — 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** tmdivided line, and the several parts of the divided line. Let A and BC be two straight lines ; of... | |
| George Lund Dunnett - 1884
...yards of its length ? PRACTICAL GEOMETRY. 1. 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. The sum of the perpendiculars let fall from... | |
| Euclides - 1884 - 434 pages
...either of them. 4. If two straight lines be each of them divided internally into any number of segments, **the rectangle contained by the two straight lines is equal to the** several rectangles contained by all the segments of the one taken separately with all the segments... | |
| E. J. Brooksmith - Mathematics - 1889 - 354 pages
...angle equal to a given rectilineal angle. 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. If A, B, C, D are points in a straight line,... | |
| Edward Mann Langley, W. Seys Phillips - 1890 - 515 pages
...ab ' square inches. PROPOSITION 1. 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, of which... | |
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