| John Playfair - Geometry - 1829 - 210 pages
...rectangle contained by the two lines is equal to the sum of the rectangles cont.tined by ,the whole **line and the several parts of the divided line. Let...divided into any parts in the points D, E; the rectangle** A.BC is equal to the sum of the several rectangles A.BD, A.DE, A.EC, or A.BC = Am + A.DE + A.EC. From... | |
| Pierce Morton - Geometry - 1830 - 584 pages
...divided into any number of partt, the rectangle contained by the tiro lines shall be equal to tht sum of **the rectangles contained by the undivided line, and the several parts of the** tliridfd line. Let AB and С be two straight lines, of which AB is divided into the parts AI), DE,... | |
| John Playfair - Euclid's Elements - 1835 - 336 pages
...which is divided into any number of parts ; the rectangle contained by the two straight lines is equ2l **to the rectangles contained by the undivided line,...into any parts in the points D, E ; the rectangle** A.BC is equal to the several rectangles A.BD, A.DE, A. EC. From the point B draw (Prob. 6. 1.) BF at... | |
| Euclid - 1835 - 540 pages
...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...Let A and BC be two straight lines ; and let BC be** divid- Book II. ed into any parts in the points D, E ; the rectangle contained l-— v*"' by the straight... | |
| Mathematics - 1835 - 684 pages
...divided into any number of parts, the rectangle contained by the two lines shall be equal to the sum of **the rectangles contained by the undivided line, and the several parts of the divided line. Let** А В and С be two straight lines, of which AB is divided into the parts AD, DE, EB: the rectangle... | |
| Robert Simson - Trigonometry - 1835 - 544 pages
...rectangles contained by the undivided line, and the several parts of the divided line. b3. I. e 31. 1. **Let A and BC be two straight lines ; and let BC be** divid- Book II. ed into any parts in the points D, E ; the rectangle contained v-» v*"' by the straight... | |
| Mathematics - 1836 - 488 pages
...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...undivided line, and the several parts of the divided line.** II. If a straight line be divided into any two parts, the rectangles contained by the whole and each... | |
| Andrew Bell - Euclid's Elements - 1837 - 290 pages
...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...the rectangle contained by the straight lines A, BC,** is equal ^ T~T~ to the rectangle contained by A, BD, together with that contained by A, DE, and that... | |
| Euclid, James Thomson - Geometry - 1837 - 410 pages
...straight lines, one of which is divided into any number of parts ; the rectangle contained by the two **lines, is equal to the rectangles contained by the...and BC be two straight lines ; and let BC be divided** * This book treats of right-angled parallelograms, and in particular of squares. } That is, by any... | |
| Euclides - Euclid's Elements - 1837 - 112 pages
...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.** JL LH CB Proved by' showing that A x BC * =± figures BK + DL + EH ; and that these are = A x BD +... | |
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