| 1902
...a parallelogram, equal to a given, rectilineal figureand having an angle equal to a given angle. 2. **Divide a given straight line into two parts, so that the rectangle contained by** the whole and on© of the parts may bo equal to the square of the other part.- •- --- Appendix. Section... | |
| 1903
...this circle and find by measurement the ratio of PA to PB. Show all details of construction. Or, 2A. **Divide a given straight line into two parts so that the rectangle contained** bv the straight line and one part shall be equal to the square on the other part. •1. Prove that... | |
| Euclid - 1904 - 456 páginas
.... QB + AB2 n. 7. = 2AQ . QB + 4PB2 n. 4, Cor. 2. 150 EUCLID-S ELEMENTS. PROPOSITION 11. PROBLEM. To **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. Let AB be the given straight line.... | |
| University of Oxford - 1907 - 152 páginas
...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... | |
| United States. Bureau of Education - 1907
...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 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... | |
| Association of Ontario Land Surveyors - 1907
...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... | |
| Great Britain. Education Department. Department of Science and Art - 1908
...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... | |
| Florian Cajori, Letitia Rebekah Odell - 1915
...construction. In proposition 11, of Book II, of the Elements, Euclid solved by drawing lines the problem : To **divide a given straight line into two parts, so that the rectangle contained by** the whole line and one part of it may be equal to the square on the other part. In algebra, this problem... | |
| ...times as great as AC; .: A cannot lie within a concentric O whose radius = \ radius of GDBE. 251 , 4. **Divide a given straight line into two parts, so that the rectangle contained by** the parts may be equal to a given rectangle. Let AB be given str. line. Through A draw a str. line... | |
| Great Britain. Parliament. House of Commons - 1853
...sides which contain the right angle. Is this proposition included in any more general one? (2.) 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. Can this be solved... | |
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