 | Āryabhaṭa - 1878 - 100 pagine
...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... | |
 | W J. Dickinson - 1879 - 44 pagine
...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...contained by the two straight lines is equal to. the sum of the rectangles contained by the undivided line, and the several parts of the divided line. 2.... | |
 | Euclides - 1879 - 146 pagine
...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...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... | |
 | Euclides, Frederick Burn Harvey - 1880 - 178 pagine
...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...divided line. Let A and BC be two straight lines, one of which, BC, is divided into parts in D and E. Then it is to be proved that The rectangle contained... | |
 | Oxford univ, local exams - 1880 - 396 pagine
...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...undivided line and the several parts of the divided line. 4. Parallelograms on equal bases, and between the same parallels, are equal to one another. 5. If a... | |
 | 1880 - 594 pagine
...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...undivided line, and the several parts of the divided line. What is the corresponding formula of Algebra ? 3. Euc. II. 9. Algebra. — i. Simplify — + 2+^_)... | |
 | Moffatt and Paige - 1881 - 176 pagine
...and the altitude be 6 units, the area of the triangle will be algebraically represented by £ a b. 2. If there be two straight lines, one of which is divided...undivided line and the several parts of the divided line. 3. If a straight line be divided into two equal, and also into two unequal parts ; the squares on the... | |
 | 1881 - 504 pagine
...which the first eight propositions of Euclid II. prove. If there be two straight lines one of which be divided into any number of parts, the rectangle contained by the two lines is equal to the rectangles contained by the undivided line and the several parts of the divided... | |
 | Isaac Sharpless - 1882 - 286 pagine
...the gnomon, which is more briefly expressed by the letters DFH or BEG. Proposition 1. Theorem. — If there be two straight lines, one of which is divided...and the several parts of the divided line. Let A and RC be two straight lines ; and let BC be divided into any number of parts at the points D, E; the rectangle... | |
 | 1882 - 676 pagine
...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...undivided line, and the several parts of the divided line. What is the corresponding formula in Algebra ? 3. If a straight line be divided into two equal, and... | |
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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. 
