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Books Books 151 - 158 of 158 on AB be the given straight line ; it is required to divide it into two parts, so that....  
" 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 402
by Euclid, Sir Thomas Little Heath, Johan Ludvig Heiberg - 1908
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Euclid in China: The Genesis of the First Chinese Translation of Euclid's ...

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...
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Register

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...
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Examination,Midsummer,1879

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...
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Report of the examination held (Dec. 1859)-73

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,...
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The Dream of the West, Pt II, Part 2

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...
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Pass school, group A (-D).

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...
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The Thirteen Books of Euclid's Elements, Volume 3

Robert Catesby Taliaferro, Euclid, Martin Luther D'Ooge, Archimedes, Sir Thomas Little Heath, Nicomachus (of Gerasa.), Apollonius (of Perga.) - 1956 - 546 pages
...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...
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Parliamentary Papers, House of Commons and Command, Volume 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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