| Euclid, James Thomson - 1845 - 352 sider
...partu of whioh are, by the same curolla'y, tli» PROP. XI. PROB. — 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 of the other part. Let AB be the given straight line ;... | |
| Alfred Wrigley - 1845
...drawn from one of these points. (Euclid, iii. 18. Cape, ii. 38.) 59. 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 of a given line, which is less than the line to be divided.... | |
| Euclid - 1845 - 199 sider
...equal to the square of 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 of the other part. Upon AB describe* the square ABDC... | |
| Euclides - 1846
...equal to the square of 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 of the other part. Upon AB describe the square ACDB ;... | |
| Euclid, John Playfair - 1846 - 317 sider
...equal to the square of 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 of the other part. Upon AB describe (46. 1.) the square... | |
| Euclides - 1848
...line made up of the half and the part produced. PROP. 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 of the other part. PROP. XII. THEOREM. In obtuse-angled... | |
| J. Goodall, W. Hammond - 1848
...triangle between the perpendicular and the obtuse angle. Section 4. 1. 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. 2. Describe a square that shall be... | |
| Euclid, Thomas Tate - 1849 - 108 sider
...a straight line, &c. QED Again, because EG F is EF PROP. XI. PROB. To divide a given straight line **into two parts, so that the -rectangle contained by the whole, and** one of the parts, shall Tie equal to the square of the other part. Let AB be the given straight line;... | |
| University of Cambridge - 1849
...of algebraical equations, or any demonstration other than Euclid's ? 3. 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. Shew that in Euclid's figure four... | |
| Great Britain. Committee on Education - 1850
...same parallels, are equal to one another. 3. Solve Euc. II. 11. To divide a given finite straight line **into two parts, so that the rectangle contained by the whole and** one of the parts may be equal to the squire of the other part. 4. Prove Euc. III. 22. The opposite... | |
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