AB be the given straight line ; it is required to divide it 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. Introduction and books 1,2 - Page 402by Euclid, Sir Thomas Little Heath, Johan Ludvig Heiberg - 1908Full view - About this book
| Georgia Lynette Irby-Massie, Paul Turquand Keyser - Foreign Language Study - 2002 - 392 pages
...remaining segment. Let AB be the given straight line iFigure 2.2): thus it is required to cut AB so hat **the rectangle contained by the whole and one of the segments is equal to the** quare on the remaining segment. For let the square ABAF be constructed on AB : let AF be bisected at... | |
| Peter M. Engelfriet - Mathematics - 1998 - 488 pages
...the following propositions. 3. -itmff ffi#;2:£7c»ffiffif Heath If a straight line be cut at random, **the rectangle contained by the whole and one of the segments is equal to the** rectangle contained by the segments and the square on the aforesaid segment. Again, Ricci gives an... | |
| University of Cambridge, Sir Thomas Gery Cullum - 1853
...with 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... | |
| Education Department - 1879
...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... | |
| Cowley Oxon, dioc. school - 1860
...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,... | |
| 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... | |
| Oxford univ, exam. papers, 2nd publ. exam
...angle. 2 8. Describe a square on a given straight line. 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. If a straight line touch a circle, and from... | |
| Euclides - 1956
...Pythagoreans. 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... | |
| Great Britain. Parliament. House of Commons - Legislation - 1853
...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... | |
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