 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. Let...  Elements of Plane Geometry - Page 63by Thomas Hunter - 1878 - 132 pagesFull view - About this book
 | Edward Atkins - 1876 - 130 pages
...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...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... | |
 | 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!... | |
 | Great Britain. Education Department. Department of Science and Art - 1877 - 562 pages
...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...number of parts, the rectangle contained by the two straight lines is equal to the rectangles contained by the undivided lirfe and the several parts of... | |
 | Isaac Sharpless - Geometry - 1879 - 282 pages
...gnomon, which 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...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... | |
 | Euclides - 1879 - 146 pages
...on AB,' and 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...number of parts, the rectangle contained by the two straight lines is equal to the rectangle contained by the undivided line, and the several parts of... | |
 | Moffatt and Paige - 1879 - 506 pages
...which are at the opposite angles of the parallelograms which make the gnomon. Proposition I. Theorem. If there be two straight lines, one of which is divided...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... | |
 | W J. Dickinson - Geometry - 1879 - 44 pages
...Questions on the Propositions. 1. What is a rectangle, and how. is it said to be contained? Prove that if there be two straight lines, one of which is divided...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... | |
 | Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...second gnomon EHC, composed of HG, AF, and FC, may he termed the gnomon EHC or AGK. PROP. I. THEOREM. If there be two straight lines, one of which is divided...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... | |
 | 1880 - 594 pages
...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...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... | |
 | Oxford univ, local exams - 1880 - 396 pages
...equal to two right angles, these two straight lines shall be in one and the same straight line. 3. If there be two straight lines, one of which is divided...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... | |
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