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	Euclid's Elements, Book XIII
		If the square on a straight line is five times the square on a segment on it, then, when the double of the said segment is cut in extreme and mean ratio, the greater segment is the remaining part of the original straight line.
		If a straight line is cut in extreme and mean ratio, then the square on the sum of the lesser segment and the half of the greater segment is five times the square on the half of the greater segment.
		The square on the diameter of the sphere is five times the square on the radius of the circle from which the icosahedron has been described, and the diameter of the sphere is composed of the side of the hexagon and two of the sides of the decagon inscribed in the same circle.
	aleph0.clarku.edu /~djoyce/java/elements/bookXIII/bookXIII.html (712 words)

	Five lemma -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-10-19)
		The five lemma is valid not only for abelian categories but also works in (The branch of mathematics dealing with groups) group theory, for example.
		The five lemma can be thought of as a combination of two other theorems, the four lemmas, which are (Click link for more info and facts about dual) dual to each other.
		We shall prove the five lemma by individually proving each of the 2 four lemmas.
	www.absoluteastronomy.com /encyclopedia/F/Fi/Five_lemma.htm (607 words)

	Biodiversity profits
		In 1970 Lemma left for a sabbatical at the Stanford Research Institute (SRI), stopping in London to check on his C4 collaborators." The tests had been so encouraging, he was informed, that the scientists had patented rather than published.
		Lemma did not appear on the patent, which was for an extraction process for endod.
		But Lemma convinced his colleagues that because endod was "poor man's medicine for a poor man's disease," it was unseemly to profit from it.
	www.dhushara.com /book/diversit/extra/prof.htm (2036 words)

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