Beschreibung
First edition, in the original printed wrappers, of the first translation of Lobachevsky's 'Geometrische Untersuchungen zur Theorie der Parallellinien' (Berlin, 1840; Dibner 115), the first separately published work on non-Euclidean geometry. "Hoüel's reputation rests primarily on the quality and quantity of his activities in mathematical exposition. His gift for languages was used to evaluate and frequently to expound or translate important foreign mathematical writings. Of great importance were his successful efforts to overcome the long-standing failure of mathematicians to appreciate the significance of non-Euclidean geometry. Led by his own research to doubt the necessity of the parallel postulate and by Richard Baltzer to the writings of Lobachevski, Hoüel published in 1866 a translation of one of the latter's essays along with excerpts from the Gauss-Schumacher correspondence. By 1870 he had published translations of the classic writings in this area of János Bolyai, Beltrami, Helmholtz, and Riemann as well as his own proof of the impossibility of proving the parallel postulate" (DSB VI: 522). "The cause of Lobachevskian geometry was, however, furthered by Hoüel, one of its earliest proponents, who in 1866 brought out a French translation of Geometrische Untersuchungen, with appended extracts from the Gauss-Schumacher correspondence. The following year he also published Bolyai's appendix on non-Euclidean geometry, which was translated into Italian by Battaglini in 1867. Hoüel's own Notices sur la vie et les travaux de N. I Lobachevsky appeared in 1870. In the meantime, Lobachevsky's 'Geometrische Untersuchungen' had been translated into Russian by A. V. Letnikov; it was published in 1868 in the newly founded Moscow magazine Matematichesky sbornik" (DSB VIII: 433). In Sotheran's catalogue no. 770 from 1918 this separate printing is noted to be "scarce". It appeared in the following years in Mémoires de la Société des Sciences Physiques et Naturelles de Bordeaux, vol. 4, pp. 83-128. 8vo, pp. [ii], iv, 42, with numerous white-on-black woodcut geometrical diagrams in text. Original printed wrappers, uncut (spine mostly worn away, covers soiled and foxed, minimal foxing internally), former owner's signature on front wrapper. Bestandsnummer des Verkäufers ABE-1572606309056
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