 | Edward Atkins - 1874 - 428 Seiten
...opposite angles of the parallelograms which make the gnomon. Proposition 1. — Theorem. If t/iere be two straight lines, one of which is 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... | |
 | Edward Atkins - 1876 - 130 Seiten
...contained by two lines, as AB and BC, Is concisely expressed thus ; — AB, BO. Proposition 1. — Theorem. If there be two straight lines, one of which is divided...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... | |
 | Henry Major - 1876 - 784 Seiten
...straight line from a given point in a side of a parallelogram which shall bisect the parallelogram. 2. If there be two straight lines, one of which is divided...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... | |
 | Euclides, James Hamblin SMITH - 1876 - 382 Seiten
...D, .: rect. EFGH coincides with and is therefore equal to reet. ABCD. QED PROPOSITION I. THEOREM. . If there be two straight lines, one of which is divided...contained by the two straight lines is equal to the rectangles contained by the undivided lint and the several parts of the divided line. Let AB and CD... | |
 | Richard Wormell - 1876 - 268 Seiten
...To describe a square upon a given straight line. . . . . . . . . 132 EUCLID.-BOOK II. Prop. Page i. If there be two straight lines, one of which is divided...contained by the two straight lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line. . . ,. . . .... | |
 | Robert Potts - 1876 - 446 Seiten
...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... | |
 | Euclides, James Hamblin Smith - 1876 - 376 Seiten
...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... | |
 | Great Britain. Education Department. Department of Science and Art - 1877 - 562 Seiten
...J(x'+y*), show that (25). + *•• — x+y + z '.'.x -y + s :x + y — z. (25). Section B.—Geometry. 27. If there be two straight lines, one of which is divided...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 - 1878 - 142 Seiten
...Therefore the square of AB is equal to the sum of the squares of AC and CB. PKOPOSITION XIV.—THEOREM. • If there be two straight lines, one of which is divided...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 Seiten
...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. 
