 | Euclides - 1845 - 546 sider
...the limit which the side of the given square must not exceed so that the problem may be possible. 7. Divide a given straight line into two parts, such that the squares of the whole line and one of the parts shall be equal to twice the square of the other part. 8. Divide... | |
 | Great Britain. Committee on Education - 1855 - 976 sider
...altitudes, whether they be situated on the same or on opposite sides of the same straight line. 2. Divide a given straight line into two parts such that the squares of the whole and of one of the parts shall be equal to twice the square of the other part. 3. From... | |
 | 1855 - 264 sider
...altitudes, whether they be situated on the same or on opposite sides of the same straight line. 2. Divide a given straight line into two parts, such that the squares of the whole and of one of the parts shall be equal to twice the square of the other parts. than its... | |
 | Euclides - 1860 - 288 sider
...the squares on half the line and the mean distance. If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square on... | |
 | Robert Potts - 1860 - 380 sider
...straight line, &c. QED PROPOSITION VII. THEOREM. If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square on... | |
 | War office - 1861 - 714 sider
...the same parallels, are equal to one another. 3. If a straight line be divided into any two parts, the squares on the whole line and on one of the parts are equal to twice the rectangle contained by the whole and that part together with the square on the... | |
 | Woolwich roy. military acad - 1861 - 572 sider
...early part of the table and gradually decreasing. 14. If a straight line be divided into any two parts, the squares on the whole line and on one of the parts are equal to twice the rectangle contained by the whole and that part together with the square of the... | |
 | University of Oxford - 1863 - 316 sider
...section, is equal to the square on half the line. 9. If a straight line be divided into any two parts, the squares on the whole line and on one of the parts are equal to twice the rectangle contained by the whole and that part, together with the square on... | |
 | Euclides - 1864 - 262 sider
...geometrically divided into two such parts, that the sum of their squares shall be equal to a given square. 13. Divide a given straight line into two parts, such...on the whole line and on one of the parts shall be equal to twice the square on the other part. 14. Any rectangle is the half of the rectangle contained... | |
 | Euclides - 1864 - 448 sider
...straight line, &c. QED PROPOSITION VII. THEOREM. If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square on... | |
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If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square on the other part. 
