 | Woolwich roy. military acad - 1884 - 148 sider
...parallels, are equal to one another. 5. Describe a square that shall be equal to a given rectilineal figure. Divide a given straight line into two parts, such that the rectangle contained by them shall be equal to the square of their difference. 6. If two circles touch one another internally,... | |
 | Euclides - 1884 - 434 sider
...external segments ; for AB = AD - BD, or BD - AD. 6. When a straight line is divided into two segments, such that the rectangle contained by the whole line and one of the segments is equal to the square on the other segment, the straight line is said to be divided in... | |
 | E. J. Brooksmith - 1889 - 356 sider
...triangle has the least perimeter. 5. Describe a square that shall be equal to a given rectilineal figure. Divide a given straight line into two parts, such that the rectangle contained by them shall be equal to the square of their difference. 6. If two circles touch one another internally,... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 sider
...angle between two given straight lines without producing the given straight lines to meet. Ex. 127. — To divide a given straight line into two parts such that the square on one part shall be double of the square on the other part. Remembering how to obtain a square... | |
 | Henry Martyn Taylor - 1893 - 486 sider
...perpendicular to CA, AB respectively, then the rectangle BA, AE is equal to the rectangle CA, AD. 3. Shew how to divide a given straight line into two parts such that the difference of the squares described on them may be equal to a given rectangle. Is a solution always... | |
 | George Albert Wentworth, George Anthony Hill - 1894 - 150 sider
...straight lines. 239. Problem. To find the mean proportional between two given straight lines. 240. Problem. To divide a given straight line into two parts such that the greater part is a mean proportional between the whole line and the smaller part. 241. Problem. To divide... | |
 | Henry Martyn Taylor - 1895 - 708 sider
...perpendicular to CA, AB respectively, then the rectangle BA, AE is equal to the rectangle CA, AD. 3. Shew how to divide a given straight line into two parts such that the difference of the squares described on them may be equal to a given rectangle. Is a solution always... | |
 | 1898 - 870 sider
...contained by the sum and difference of the hypotenuse and the other side. 5. Divide a given finite straight line into two parts such that the rectangle contained by the whole line and one part is equal to the square on the other. Prove that the sum of the squares on the whole and the smaller... | |
 | University of Toronto - 1900 - 1164 sider
...square on the line between the points of section, is equal to the square on half the line. (II. 5.) Divide a given straight line into two parts such that the rectangle contained by them shall be the greatest possible. 2. To describe a square which shall be equal to a given rectilineal... | |
 | 1902 - 482 sider
...which shall be similar to one given rectilineal figure, and equal to another. SECTION B. 7. Divide a straight line into two parts such that the rectangle contained by the whole line and one part shall be equal to twice the square on the other part. 8. Show how to describe a right-angled'... | |
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Divide a straight line into two parts such that the rectangle contained by the whole line and one of the parts shall be equal to the square on the other part. 
