| Euclides, James Hamblin Smith - 1876 - 349 sider
...sq. on AC together 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.... | |
| Edward Atkins - 1876 - 119 sider
...equal to the square on the other part. Let AB be the given straight line. It is required to divide AB **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. CONSTRUCTION. — Upon AB describe... | |
| University of Madras - 1876
...less than that of 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... | |
| Moffatt and Paige - 1879
...equal to the square on the other part. Let 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 on the other part. Upon AB describe the square ACDB (I.... | |
| Euclides - 1879
...see the note at the 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... | |
| University of Oxford - 1879
...same base, and 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... | |
| Edward Harri Mathews - 1879
...and determine when the di/erence instead of the sum of the triangles must be taken. 2. Divide a 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. Show that the point of section lies... | |
| Euclid, F. B. Harvey - 1880 - 119 sider
...squares on BD and AD = double the squares on BC and CD. FS PROP. 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 a straight line. It is required... | |
| Elizabethan club - 1880
...with twice the rectangle contained by the parts. Express this also algebraically. 5. Divide a line **into two parts, so that the rectangle contained by the whole and** one part shall be equal to the square on the other part. 6. If a =- 2, b = 3, c = o, what is the numerical... | |
| French Ensor Chadwick - 1880 - 207 sider
...lines towards the same parts are also themselves equal and parallel. 2. 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. 3. The opposite angles of any quadrilateral... | |
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