 | Euclides, James Hamblin SMITH - 1876 - 382 pages
...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 into any...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... | |
 | Edward Atkins - 1876 - 130 pages
...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 into any...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
...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 into any...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 - 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
...(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 into any...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
...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 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,... | |
 | Euclides - 1879 - 146 pages
...for ' the rectangle contained by AB and CD,' < rect. AB, CD.'] PROPOSITION I. THEOREM. If there be two straight lines, one of which is divided into any...contained by the two straight lines is equal to the rectangle contained by the undivided line, and the several parts of the divided line. Let AB and CD... | |
 | Moffatt and Paige - 1879 - 506 pages
...the opposite angles of the parallelograms which make the gnomon. Proposition I. Theorem. If there be two straight lines, one of which is divided into any...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... | |
 | Isaac Sharpless - Geometry - 1879 - 282 pages
...is more briefly expressed by the letters DFH or BEG. E K Proposition 1. H Theorem. — If there be two straight lines, one of which is divided into any...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... | |
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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. 
