| 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 be two straight lines; and... | |
| Education - 1882 - 676 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 in Algebra... | |
| Education, Higher - 1882 - 498 pages
...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,... | |
| Mary W I. Shilleto - 1882 - 418 pages
...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 - 278 pages
...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... | |
| George Lund Dunnett - 1884 - 128 pages
...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... | |
| Stewart W. and co - 1884 - 272 pages
...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... | |
| 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 - 538 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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