 | John Playfair - 1829 - 210 sider
...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 - 1830 - 584 sider
...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 - 1835 - 336 sider
...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 sider
...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... | |
 | 1835 - 684 sider
...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 - 1835 - 544 sider
...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... | |
 | 1836 - 488 sider
...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 - 1837 - 290 sider
...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 - 1837 - 410 sider
...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 - 1837 - 112 sider
...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 +... | |
| |
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. Let... 
