| Edward Atkins - 1876 - 119 pages
...straight line, &c. QED Proposition 11. — 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. Let AB be the given straight line. It is required to... | |
| Euclides, James Hamblin SMITH - 1876 - 349 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.... | |
| Henry Major - 1876
...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... | |
| University of Madras - 1876
...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... | |
| Robert Potts - Geometry, Plane - 1876 - 403 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... | |
| Benjamin Gratz Brown - Geometry - 1879 - 48 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... | |
| University of Oxford - Greek language - 1879
...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... | |
| Edward Harri Mathews - 1879
...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
...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 - 36 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... | |
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