| Great Britain. Council on Education - 1845
...rectangle contained by the whole and that part, together with the square of the other part. 62. 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. 63. Show that if —... | |
| Alfred Wrigley - 1845
...of contact, and the diameter 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... | |
| Euclid, James Thomson - 1845 - 352 páginas
...expression, the first and third 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... | |
| Euclid - 1845 - 199 páginas
...double of the squares of AC, CD. Wherefore, if a straight line, &c. QED PROPOSITION 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 be equal to the square of the other part. Let AB be the given... | |
| Euclides - 1845
...double of the squares of AC, CD. Wherefore, if a straight line, &c. 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 of the other part. Let AB be the given... | |
| Euclid, John Playfair - 1846 - 317 páginas
...(2a+i)2+J2=2o2+2(a+4)2, and the proposition is evident from this algebraical equality. 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... | |
| J. Goodall, W. Hammond - 1848
...line intercepted without the 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... | |
| Euclides - 1848
...bisected, and of the square of the 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.... | |
| University of Cambridge - 1849
...upon the necessary homogeneity 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... | |
| Euclid, Thomas Tate - 1849 - 108 páginas
...squares of AC, CD: Wherefore, if 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... | |
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