| Eldred John Brooksmith - Mathematics - 1901 - 368 pages
...Show that this includes some of Euclid's propositions, in Book II., as particular cases. 5. Show how **to divide a given straight line into two parts, so that the** square on one part may be equal to the rectangle contained by the whole line and the other part. 6.... | |
| Education - 1901 - 548 pages
...circleHow many such triangles can be drawn as a rule? When is the problem impossible? (10) Divide a **straight line into two parts so that the rectangle contained by the** two parts may be equal to a given square. Algebra. (Pass Paper) (1) (i.) Simplify 2(a-3¿)- [2a-3J4e+(2¿... | |
| 1902 - 482 pages
...be accepted. Mr. PKDLOW, Senior Inspector. Mr. HUGHES, District Inspector. i SECTION A. 1. Divide a **straight line into two parts, so that the rectangle contained by the whole** line and one of the parts may be equal to the square on the other part. 2. If from any point without... | |
| 1902 - 170 pages
...together with four times the square on the line joining the middle points of the diagonals. 5. *Shew how **to divide a given straight line into two parts, so that the** square on one part shall be equal to twice the rectangle contained by the whole and the other part.... | |
| 1903 - 898 pages
...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... | |
| 1904 - 226 pages
...down in every possible order : how many of the numbers so formed will be greater than 23,000? 7. (a) **Divide a given straight line into two parts, so that the rectangle contained by the whole** line and one of the parts may be equal to the square on the other part. (6) If an angle of a triangle... | |
| Euclid - Euclid's Elements - 1904 - 488 pages
...its parallel sides. PROBLEMS. 37. Construct a rectangle equal to the difference of two squares. 38. **Divide a given straight line into two parts so that the rectangle contained by** them may be equal to the square described on a given straight line which is less than half the straight... | |
| 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... | |
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