Memorabilia Mathematica Or the Philomaths Quotation book
Memorabilia Mathematica Or the Philomaths Quotation book
Robert Douard Moritz
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4 (1901), p. 86. 2014. The problem [of Euclid's Parallel Axiom] is now at a par with the squaring of the circle and the trisection of an angle by means of ruler and compass. So far as the mathematical public 352 MEMORABILIA MATHEMATICA is concerned, the famous problem of the parallel is settled for all time. YOUNG, JOHN WESLEY. Fundamental Concepts of Algebra and Geome- try (New York, 1911), p. 32. 2016. If the Euclidean assumptions are true, the constitution of those parts of space which are a...t an infinite distance from us, "geometry upon the plane at infinity, " is just as well known as the geometry of any portion of this room. In this infinite and thoroughly well-known space the Universe is situated during at least some portion of an infinite and thoroughly well-known time. So that here we have real knowledge of something at least that concerns the Cosmos; something that is true through- out the Immensities and the Eternities. That something Lobatchewsky and his successors have taken away.
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