Farkas Bolyai

On the later issue of the claims of Janos Bolyai, see two of Gauss's letters to Farkas Bolyai (Gauss's old friend and Janos 'father), in Carl F. Gauss

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Gauss's own reply to Farkas Bolyai on this matter, reflects an important weakness in Gauss's approach to presenting his own accomplishments (under the politically unfavorable circumstances established by Napoleon Bonaparte's reign, and, later, until the death of the hoaxster Augustin Cauchy, that at a time which, unfortunately, coincided with the onset of Gauss's own terminal years).

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I emphasized Gauss's correspondence with Farkas Bolyai on the subject of Gauss's own discovery of an anti-Euclidean geometry (actually anticipating Riemann's 1854 habilitation dissertation) as an illustration, but also pointed out exactly this kind of challenge in Gauss's discovery, that a series of asteroid orbits had Keplerian orbits of a type foreseen by Kepler himself.

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Gauss, in his letters to the Jonas and Farkas Bolyai, and to others, on this matter, emphasizes that he had discovered a non-Euclidean geometry (premised on provocations in the work of his teacher, Kästner) during his studies of the middle through late 1790s.

LaRouche's Latest EIR News Service Inc. <eirns@larouchepub.com> 2009