Menæchmus, a pupil of Eudoxus, and a contemporary of Plato, found the two mean proportionals by means of conic sections, in two ways, (α) by the intersection of two parabolas, the equations of which in Cartesian co-ordinates would be x2=ay, y2=bx, and (β) by the intersection of a parabola and a rectangular hyperbola, the corresponding equations being x2=ay, and xy=ab respectively. It would appear that it was in the effort to solve this problem that Menæchmus discovered the conic sections, which are called, in an epigram by Eratosthenes, "the triads of Menæchmus."
Thomas Little HeathRelated topics
appear cartesian conic contemporary effort epigram found intersection mean parabola problem pupil means waysRelated quotes
Today there really aren't that many Fundamentalists left; I don't know if you know that or not, but they are such a minority; there aren't that many Fundamentalists left in America. ... Now the word "fundamentalist" actually comes from a document in the 1920s called the Five Fundamentals of the Faith. And it is a very legalistic, narrow view of Christianity, and when I say there are very few fundamentalists, I mean in the sense that they are all actually called fundamentalist churches, and those would be quite small. There are no large ones.
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