| Great Britain. Board of Education - Mathematics - 1912 - 632 pages
...used.) 1. Prove that the diagonals of a parallelogram bisect one another. 2. Divide a straight line so **that the rectangle contained by the whole and one of the parts** shall be equal to the square on the remaining part. Prove that the difference of the squares on the... | |
| Saskatchewan. Department of Education - Education - 1910 - 260 pages
...is three times the square on the shorter. 4. (a) 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. II. 11. (6) Divide a given straight line externally in... | |
| Brian Lasater - History - 2008 - 600 pages
...which is a variation on (a + b)(a - b) = a2 -- b2. Theorem 7 (II, 11) To cut a given straight line so **that the rectangle contained by the whole and one of the parts** is equal to the square of the other. Let the given line be AB. The problem is to find a point H on... | |
| Oxford univ, exam. papers, 2nd publ. exam - 1884 - 594 pages
...between the same parallels, are equal to one another. 9. 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. 10. In a circle the angle in a semicircle is a right... | |
| University of Cambridge - 1853 - 650 pages
...a line gin in position an equilateral triangle. 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 « the other part. In the figure, if H be the point of division of the... | |
| Cowley Oxon, dioc. school - 1860 - 318 pages
...square of the line between the points of section. 6. To divide a given straight line into two parts, so **that the rectangle contained by the whole and one of the parts** ehall be equal to the square of the other part. 7. To draw a straight line from a given point, either... | |
| Education Department - 1879 - 1136 pages
...proposition and state it algebraically. SECTION III. 1. 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. If the straight line AB be divided in C so that the... | |
| Euclid - 452 pages
...The construction of this triangle depends upon u. 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... | |
| Great Britain. Parliament. House of Commons - Bills, Legislative - 1853 - 520 pages
...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 arithmetically.? If so, find approximately... | |
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