| 1907 - 608 pages
...with the square of the line between the poiuts of section, is equal to the square of half the line. 4. **To divide a given straight line into two parts, so...rectangle contained by the whole and one of the parts,** may be equal to the square of the other. SECTION B. 5. Jf one angle of a triangle be equal to the sum... | |
| United States. Bureau of Education - Education - 1907 - 724 pages
...to the squares on the two parts, together with twice the rectangle contained by (lie two parts. 8. **Divide a given straight line into two parts, so that...rectangle contained by the whole and one of the parts** may be equal to the square on the other part. The following is a list of the names of the Rhodes scholars... | |
| University of Oxford - 1907 - 160 pages
...meet AB produced in 0. If CG is joined, prove that the triangles ABF &nd CFG are equal in area. 6. (b) **Divide a given straight line into two parts so that the rectangle contained by** those parts may be equal to the square on a given straight line, the length of the second given line... | |
| Association of Ontario Land Surveyors - Surveying - 1907 - 218 pages
...two right angles. 4. Inscribe an equilateral triangle in a given circle; trisect a right angle. 5. **To divide a given straight line into two parts so that the rectangle contained** under the whole and one of the parts shall be equal to the square on the other part. 6. The sum of... | |
| United States. Office of Education - Education - 1907 - 720 pages
...with twice the rectangle contained by the two parts. 8. Divide a given straight line into two parta, **so that the rectangle contained by the whole and one of the parts** may be equal to the square on the other part. The following is a list of the names of the Rhodes scholars... | |
| United States. Bureau of Education - Education - 1907 - 732 pages
...with twice the rectangle contained by the two parts. 8. Divide a given straight line into two parte, **so that the rectangle contained by the whole and one of the** parte may be equal to the square on the other part. The following is a list of the names of the Rhodes... | |
| Great Britain. Education Department. Department of Science and Art - 1908 - 328 pages
...will be allowed to pass who fails to obtain marks in any one of the three sections. A. 21. Show how **to divide a given straight line into two parts, so that the rectangle** under the whole line and one part mar be equal to the square on the other part. Draw a line, say about... | |
| Euclid - Mathematics, Greek - 1908 - 456 pages
...Pythagoreans. The construction of this triangle depends upon n. n, or the problem of dividing a straight line **so that the rectangle contained by the whole and one of the parts** is equal to the square on the other part. This problem of course appears again in Eucl. vi. 30 as the... | |
| Euclid - Mathematics, Greek - 1908 - 550 pages
...square on the remaining segment. Let AB be the given straight line ; thus it is required to cut AB **so that the rectangle contained by the whole and one of the** segments is equal to the square on the remaining segment. For let the square ABDC be described on AB... | |
| Royal Military Academy, Woolwich - Mathematics - 1909 - 456 pages
...described on a given base, and having a given area, that which has the least perimeter it isosceles. 3. **Divide a given straight line into two parts so that the rectangle contained by the whole and one** part may be equal to the square on the other part. If the line be divided so that nine times the rectangle... | |
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