| Edward Atkins - 1874 - 424 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... | |
| Euclides - 1874 - 234 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.... | |
| 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... | |
| 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... | |
| Robert Potts - Geometry, Plane - 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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