 | Richard Wormell - 1876 - 268 σελίδες
...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 rectangle...undivided line, and the several parts of the divided line. . . ,. . . . . . . . . . . 145 3. If a straight line be divided into any two parts, the rectangles... | |
 | Euclides, James Hamblin Smith - 1876 - 376 σελίδες
...equal to rect. ABCD. q. ED 77 PROPOSITION I. THEOREM. If there be two straight lines, one of which is divided into any number of parts, the rectangle...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... | |
 | Henry Major - 1876 - 784 σελίδες
...triangle 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...undivided line and the several parts of the divided line. 3. If a straight line bo divided into two equal, and also into two unequal parts ; the squares on the... | |
 | Euclides, James Hamblin SMITH - 1876 - 382 σελίδες
...therefore equal to reet. ABCD. QED PROPOSITION I. THEOREM. . If there be two straight lines, one of which is divided into any number of parts, the rectangle...equal to the rectangles contained by the undivided lint and the several parts of the divided line. Let AB and CD be two given st. lines, and let CD be... | |
 | Robert Potts - 1876 - 446 σελίδες
...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 σελίδες
...-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 rectangle...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 any point... | |
 | Āryabhaṭa - 1878 - 100 σελίδες
...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...rectangles contained by the undivided line and the parts of the divided line. In the above figure, let BC and BL be two straight 'mes. Let BC be devided... | |
 | Thomas Hunter - 1878 - 142 σελίδες
...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... | |
 | Moffatt and Paige - 1879 - 506 σελίδες
...parallelograms which make the gnomon. Proposition I. Theorem. If there be two straight lines, one of which is divided into any number of parts, the rectangle...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. Then the rectangle... | |
 | Isaac Sharpless - 1879 - 282 σελίδες
...letters DFH or BEG. E K Proposition 1. H Theorem. — If there be two straight lines, one of which is divided into any number of parts, the rectangle...and the several parts of the divided line. Let A and BC be two straight lines ; and let BC be divided into any number of parts at the points D, E; the rectangle... | |
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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. 
