 | Euclides - 1874 - 342 pages
...parallelograms which 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.... | |
 | Edward Atkins - 1874 - 428 pages
...divided into any number of parts, t/ie rectangle contained by the two straight lines is equal to t/ie 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 into any parts in the points D, E ; The rectangle... | |
 | Henry Major - 1876 - 784 pages
...side of a parallelogram which shall bisect the parallelogram. 2. If there be two straight lines, one of which is divided into any number of parts, the...contained by the two straight lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line. What is the... | |
 | Edward Atkins - 1876 - 130 pages
...concisely expressed thus ; — AB, BO. Proposition 1. — Theorem. If there be two straight lines, one of which is divided into any number of parts, the...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... | |
 | Richard Wormell - 1876 - 268 pages
...straight line. . . . . . . . . 132 EUCLID.-BOOK II. Prop. Page i. If there be two straight lines, one of which is divided into any number of parts, the...contained by the two straight lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line. . . ,. . . .... | |
 | Euclides, James Hamblin Smith - Geometry - 1876 - 376 pages
...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. (f .-:/: Let AB and CD be two given st. lines, and let CD be divided into any parts in E, F. Then must... | |
 | Robert Potts - Geometry - 1876 - 446 pages
...sometimes " 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
...+ z '.'.x -y + s :x + y — z. (25). Section B.—Geometry. 27. If there be two straight lines, one of which is divided into any number of parts, the...contained by the two straight lines is equal to the rectangles contained by the undivided lirfe and the several parts of the divided line. The sum of the... | |
 | Thomas Hunter - Geometry, Plane - 1878 - 142 pages
...sum of the squares of AC and CB. PKOPOSITION XIV.—THEOREM. • If there be two straight lines, one of which is divided into any number of parts, the rectangle contained by the two lines is equal to the sum of the rectangles contained by the undivided line and the several parts of... | |
 | Āryabhaṭa - 1878 - 100 pages
...PKOP. A, THEOREM. (E. 2. I). If there be two straight lines, one of whieh is divided in I •any two parts, the rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line and the parts of the divided line. In the above figure,... | |
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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. 
