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" CE equal to the ratio of the square of AB to the square of AD. "
A new supplement to Euclid's Elements of geometry, by the author of 'A new ... - Page 63
by Joseph Denison - 1840 - 84 pages
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The Emergence of Number

John N. Crossley - Mathematics - 1987 - 240 pages
...of Constructions, CE is known (Figure). CEB HA Then he has said that we choose the ratio of HC to CE as the ratio of the square of AB to the square of AH. But he has not said how this idea is done. This problem requires conic sections (Amir-Moez [1961],...
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Encyclopedia of the History of Arabic Science, Volume 2

RĂ©gis Morelon - Science - 1996 - 430 pages
...known, as is shown in the Data [of Euclid] . He then said: let us set the ratio of CD to CE equal to the ratio of the square of AB to the square of AD. He did not say how this was known, since one had necessarily to have conic sections. And, besides this,...
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