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
| Edward Atkins - 1874 - 426 pages
...gnomon. PROPOSITIONS. 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; and... | |
| Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...AC, CB. BOOK II. RECTANGLES. PROPOSITION 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** undivided line and the several parts of the divided line. a Let A and BC be two straight lines, and... | |
| Euclides - 1874 - 120 pages
...the ° *-* ^ gnomon. 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 ; and... | |
| Euclid, James Bryce, David Munn (F.R.S.E.) - Geometry - 1874 - 236 pages
...PROPOSITION I. — THEOREM. (Euc. II. 1.) Jf there be two straight lines, oiie of which is divided **into any number of parts, the rectangle contained by the two straight lines is equal to the** sum of the rectangles contained by the undivided line, and the several parts of the divided line. Let... | |
| Euclides - 1874 - 342 pages
...make the gnomon." PROPOSITION 1.. — Theorem. If there be two straight lines, one of which is divided **into any number of parts, the rectangle contained by the two straight lines** ^s equal to the rectangles contained by the undivided line, and the several parts of the divided line.... | |
| Richard Wormell - 1876 - 268 pages
.... . . . 132 EUCLID.-BOOK II. Prop. Page 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** undivided line, and the several parts of the divided line. . . ,. . . . . . . . . . . 145 3. If a straight... | |
| Edward Atkins - 1876 - 130 pages
...thus ; — AB, BO. 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; and... | |
| Henry Major - 1876 - 784 pages
...will be algebraically represented by ia b. 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. 3. If a straight line bo divided into two... | |
| Robert Potts - Geometry - 1876 - 446 pages
...the rectangle ABC." To this proposition may be added the corollary : If two straight lines be divided **into any number of parts, the rectangle contained by the two straight lines,** IB equal to the rectangles contained by the several parts of one line and the severe! parts of the... | |
| Great Britain. Education Department. Department of Science and Art - 1877 - 562 pages
...+ y — z. (25). Section B.—Geometry. 27. 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 lirfe and the several parts of the divided line. The sum of the perpendiculars let fall from... | |
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