Four folding printed tables & numerous woodcut diagrams in the text. 6 p.l. (two of these preliminary leaves are mis-bound at end), 188 pp., 4 leaves of errata at end. Small 4to, attractive antique calf, panelled in gilt, gilt fleurons in each corner, spine gilt. Zurich: J.J. Bodmer, 1659.

First edition and an absolutely complete copy of this rare and noteworthy mathematical book; our copy has all four folding printed tables (most copies described in OCLC seem to have only three) and an extra leaf of errata not present in the Macclesfield copy (sale, Sotheby’s London, 25 Oct. 2005, lot 1705, £12,000 including premium).

In this book on page 73, Rahn first introduced the symbol “÷” in print “as a sign of division; (2) the Archimedean spiral for involution; (3) the double epsilon for evolution; (4) the use of capital letters B, D, E, for given numbers, and small letters a, b, for unknown numbers; (5) the * for multiplication; (6) the first use of ∴ for ‘therefore’; (7) the three-column arrangement of which the left column contains the directions, the middle the numbers of the lines, the right the results of the operations.”–Cajori, A History of Mathematical Notations, I, pp. 211-12 & see illus. on p. 213 (& see sections 205, 208, 232, 237, 266, 304, 307, 328, 333, 341, 385, & 386 for Rahn’s other contributions, all of which appear in the present book). More about Teutsche Algebra, Oder Algebraische Rechenkunst, zusamt ihrem Gebrauch: Bestehend 1. In...