| Mary W I. Shilleto - 1882
...by these two sides is a right angle. Find a square which shall be equal to three given squares. 2. **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. Produce a given straight... | |
| 1882
...intersection will be bisected by a perpendicular drawn to it from the middle point of the base. 6. **Divide a given straight line into two parts so that the rectangle contained by** the whole and one of the parts may equal the square on the other. 7. Divide a given straight line into... | |
| Samuel Constable - 1882 - 203 páginas
...will then become (I. 32, 26) the bisection of AB, that is to say, the segments are equal. PROP. 69. To **divide a given straight line into two parts, so that the rectangle** under the segments (1) shall be given : (2) shall be a maximum. Let AB be the given straight line:... | |
| Euclid, Isaac Todhunter - 1883 - 400 páginas
...shew that the square on BC is equal to the rectangle AB, BF, together with the rectangle AC, CE. 161. **Divide a given straight line into two parts so that...is less than half the straight line to be divided.** III. 1 to 15. 162. Describe a circle with a given centre cutting a given circle at the extremities... | |
| Civil service commission - 1883
...squares. Sol. This is proved in Eue. II. 4, and is stated as a corollary to that proposition. g. — (1) **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. (2) If А В be so divided... | |
| 1886
...angles. 4. Straight lines which are parallel to the same straight line are parallel to each other. 5. 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. NATURAL PHILOSOPHY.... | |
| Joseph Hughes - 1883
...squares on the two parts, together with twice the rectangle contained by the parts. Euclid II., 4. 3. 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. Euclid П., u. I.... | |
| 1884
...points of intersection will be bisected at right angles by the straight line joining their centres. 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. 4. The angles in the... | |
| F. B. Stevens - 1884 - 175 páginas
...and pifrallel straight 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. (LEGENDRE.) 1. In an isosceles... | |
| Stewart W. and co - 1884
...but DG is equal to DB ; therefore the squares of AD, DB are twice the squares of AC, CD. XI. — 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. It is required to divide... | |
| |