 | Henry Major - 1876 - 784 pages
...with twice the rectangle contained by the parts. 3. To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts shall be equal to the square on the other part. Algebra. — 1. A man invests half his property at... | |
 | Euclides, James Hamblin SMITH - 1876 - 382 pages
...with twice sq. on CD. QED PROPOSITION XI. PROBLEM. To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts shall be equal to the square on the other part. jD K I"' Let AB be the given st. line. On AB descr.... | |
 | Robert Potts - Geometry - 1876 - 446 pages
...the squares of the segments of the diameter. 5. To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts shall be equal to the square on .the other part. Solve the problem algebraically. Interpret and construct... | |
 | University of Madras - 1876 - 580 pages
...any other equal triangle upon the same base. III. To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts shall be equal to the square of the other part. IV. (a) If from any point without a circle two straight... | |
 | Moffatt and Paige - 1879 - 506 pages
...if a straight line, etc. QED Proposition XI. Problem. To divide a straight line into two parts, so that the rectangle contained by the whole and one of the parts shall be equal to the square on the other part. Let AB be the given straight line. It is required to... | |
 | Edward Harri Mathews - 1879 - 94 pages
...bisects them. What is the hypothesis in this proposition ? 4. Divide a straight line into two parts, so that the rectangle contained by the whole and one of the parts may be equal to the square on the other part. 5. Describe a square that shall be equal to a given rectilineal... | |
 | Euclides - 1879 - 146 pages
...beginning of Book ii.] PROPOSITION XI. PROBLEM. To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts may be equal to the square on the other part. Let AB be the given st. line. It is required to divide... | |
 | W J. Dickinson - Geometry - 1879 - 44 pages
...line made up of the half and the part produced. 11. Show how to divide a given line into two parts so that the rectangle contained by the whole and one of the parts shall be equal to the square of the other part. • Same proposition. Show that the squares on the... | |
 | University of Oxford - Greek language - 1879 - 414 pages
...between the same parallels, are equal to one another. 9. Divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts may be equal to the square on the other part. 10. In a circle the angle in a semicircle is a right... | |
 | Benjamin Gratz Brown - Geometry - 1879 - 68 pages
...insoluble problems. An illustration of this may be given in the case of a straight line, so divided that the rectangle contained by the whole and one of the parts shall be equal to the square of the other part — a proportion to be hereafter alluded to as of great... | |
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AB be the given straight line ; it is required to divide it into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal to the square of the other part. 
