Novye nachala geometrii s polnoi teoriei parallelnykh - photo 1
Novye nachala geometrii s polnoi teoriei parallelnykh - photo 2
Novye nachala geometrii s polnoi teoriei parallelnykh - photo 3
Novye nachala geometrii s polnoi teoriei parallelnykh - photo 4

Novye nachala geometrii s polnoi teoriei parallelnykh

Lot 191
28.01.2025 10:00UTC -05:00
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$ 81 900
AuctioneerCHRISTIE'S
Event locationUSA, New York
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ID 1360908
Lot 191 | Novye nachala geometrii s polnoi teoriei parallelnykh
Estimate value
$ 7 000 – 9 000
LOBACHEVSKY, Nikolai Ivanovich (1792-1856). “Novye nachala geometrii s polnoi teoriei parallelnykh” [“New foundations of geometry with the complete theory of parallels.”] Kazan: University Press, 1835-1837. WITH: “Ob ischezanii trigonometricheskikh strok” [“On the convergence of trigonometrical series.”] Kazan: University Press, 1834.

Extremely rare first edition, Russian journal issues from Lobachevsky's third major work of non-Euclidean geometry. Lobachevsky's first published work on this subject was O nachalakh geometrii (1829-30), and the present work was joined by Voobrazhaemaya geometriya (1835) and its sequel Primenenie voobrazhaemoi geometrii k nekotorym integralam (1836), see following lot. Together, they are Lobachevsky's oeuvre on the subject. The present set comprises the first four publications of six, it is without the two publications published in 1838. Three of the journals are in original wrappers, the fourth was rebound for Friedrich Engel, a German translator of Lobachevsky, and contains his notes. We trace no copies of any original Kazan issues of Nova nachala geometrii at auction. D. Sommerville, Bibliography of Non-Euclidean Geometry, p.26.

Comprises:
1. “Ob ischezanii trigonometricheskikh strok” [“On the convergence of trigonometrical series.”] Pages 167-226, in: Uchenye Zapiski Kazanskogo Universiteta [Proceedings of Kazan University], book 2. Kazan: University Press, 1834. With folding engraved plate.
2. “Novye nachala geometrii s polnoi teoriei parallelnykh” [“New foundations of geometry with the complete theory of parallels.”] Pages 3-48 in: Uchenye Zapiski Kazanskogo Universiteta [Proceedings of Kazan University], book 3. Kazan: University Press, 1835. With folding engraved plate.
3. “Novye nachala geometrii s polnoi teoriei parallelnykh. Glava 2[-5]” [“New foundations of geometry with the complete theory of parallels. Chapter 2(-5.)”] Pages 3-98 in: Uchenye Zapiski Kazanskogo Universiteta [Proceedings of Kazan University], book 2 (whole number). Kazan: University Press, 1836. With three folding engraved plates.
4. “Novye nachala geometrii s polnoi teoriei parallelnykh. Glava 6[-7]” [“New foundations of geometry with the complete theory of parallels. Chapter 6(-7)”] Pages 3-50 in: Uchenye Zapiski Kazanskogo Universiteta [Proceedings of Kazan University], book 3 . Kazan: University Press, 1836. With two folding engraved plates. Partially unopened.
5. “Novye nachala geometrii s polnoi teoriei parallelnykh. Glava 8[-11]” [“New foundations of geometry with the complete theory of parallels. Chapter 8(-11”] Pages 3-97 in: Uchenye Zapiski Kazanskogo Universiteta [Proceedings of Kazan University], book 1. Kazan: University Press, 1837. With two folding engraved plates.

Five volumes, octavo. With folding engraved geometric plates by L. Schewitz. (Nos. 1 & 3 with some leaves browned and some dampstain). Nos. 1 & 3 in late 19th-/early 20th-century half muslin and marbled boards (well-worn). Nos. 2, 4 & 5 in original printed wrappers (backstrips worn, some sunning, tear to upper wrapper and journal title of no. 4). Novye nachala geometrii issues housed together in custom quarter morocco box. Provenance: Nos. 1 and 3: “Prof. Petrofskii” (note of receipt from:) – Freidrich Engel, German mathematician, 1861-1941, who studied the history of non-Euclidean geometry and translated works of Lobachevsky from Russian to German (ownership inscription dated 24 September 1897 and his manuscript notes in no. 3).
Place of origin:Russia
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