 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 A and BC be...  Pure mathematics - Page 233by Edward Atkins - 1874Full view - About this book
 | Euclid - 1835 - 540 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...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
...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
...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. 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
...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...; 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... | |
 | Euclid, James Thomson - Geometry - 1837 - 410 pages
...which is 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...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 +... | |
 | Euclides - 1838 - 264 pages
...lines, is equal to the rectangles contained by the undieided line, and the seeeral parts of the dieided line. Let A and BC be two straight lines; and let...: the rectangle contained by the straight lines A, BC shall be equal to the rectangle contained by A, BD, together with that contained by A, DE, and that... | |
 | Euclid - Geometry - 1838 - 470 pages
...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 let BC be divided...; the rectangle contained by the straight lines A, BC is equal to the rectangle B DEC contained by A, BD, together with that contained by A, DE, and that... | |
 | Euclides - 1840 - 82 pages
...by two straight lines, of which one is divided into any number of parts, is equal to the sum of the rectangles contained by the undivided line and the several parts of the divided line. PROP. II. THEOR. If a straight line be divided into any two parts, the square of the whole line is... | |
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