CAYLEY, ARTHUR.

Note on a Family of Curves of the Fourth Order.

Cambridge, Macmillan and Co., 1850. 8vo. Bound in contemporary half calf with black and red title labels to spine with gilt lettering. In "The Cambridge and Dublin Mathematical Journal", Vol. V [5], (Being Vol. IX [9], of the Cambridge Mathematical Jorunal), 1850. Bookplate pasted on to pasted down front free end-paper and library code written in hand to lower part of spine. Library cards in the back. A fine and clean copy. Pp. 148-59. [Entire volume: IV, 288 pp.].

First printing of Cayley's important paper on curves of the fourth order. "As an example of a remarkable property of cubic surfaces there was Cayley's discovery in 1849 [the present paper], of the existence of exactly 27 lines on every surface of the third degree. Not all need be real but there are surfaces for which they are all real." (Kleine, P. 859).

The volume contains many other important contributions by contemporary mathematicians.

Order-nr.: 47401