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Federico COMMANDINO (1509-1575), PAPPUS OF ALEXANDRIA (209 c. - 350 c.)  Auf Merkliste setzen

Federici Commandini Urbinatis mathematici celeberrimi exactisima Commentaria in libros octo mathematicarum collectionum Pappi Alexandrini e greco in latinum a se accuratissime conversos. Ad Serenissimum Franciscum Mariam II. Urbini Ducem. Pisauri, Apud Hieronymum Concordiam 1602 Large 4to (295x210); [3] (of 4, missing blank), 334 (recte 332) leaves. Signature: 3 (missing 4, blank), A-Z4, Aa-Zz4, Aaa-Zzz4, Aaaa-Oooo4. Several leaves misnumbered, leaf 66 printed after leaf 67. Large woodcut on title page, woodcut diagrams on almost every page. XIXth century half-morocco, spine gilt, edges gilt. Fine copy.

First published in Pesaro in 1588, posthumously, and reissued at Venice in 1588 and 1589 and Pesaro in 1602 (the present edition.). A revised edition (but actually with no changes of any relevance) by Carolus Manolessius was printed in Bologna in 1660. The 1588 edition was published a by Commandino’s son-in-law, Valerio Spaccioli, and greatly influenced later editions: “The Latin translation and commentary on Books III to VIII made by Federicus Commandinus and first published in 1588, is a work which has left its mark on most of the manuscripts and almost all of the printed excerpts.” (Treweek, p. 228). Pappus was the last great mathematician of the Alexandrian School; his work, the Synagoge or “Collection”, contains works by Greek mathematician, some of which are known only through Pappus, as well as the author’s commentary and his own contributions. Originally composed by eight books (or perhaps twelve), only Books III-VIII of the Collection have survived. “Book III is divided into four parts, the last of which shows how to inscribe the five regular polyhedra in a sphere. Book IV deals with the properties of curves, squaring of the circle, and the trisection of an angle. In Book V, on isoperimetry, Pappus shows that a sphere is greater in volume than any of the regular solids whose perimeters are equal that of the sphere. Book VI is astronomical and may be seen as an introduction to Ptolemy's Syntaxis. Book VII examines Euclid's Porisms, and five books by Apollonius, all of which have been lost. Book VIII, devoted to mechanics, begins by defining center of gravity, then gives the theory of the inclined plane, and concludes with a description of the five mechanical powers: the wheel and axle, the lever, the pulley, the wedge, and the screw” (library.brown.edu). REF.: A.P. TREWEEK Pappus of Alexandria, The manuscript tradition of the Collectio Mathematica. In: Scriptorium, Tome 11 n. 2, 1957. pp. 195-233; https://library.brown.edu/exhibits/archive/math/textfr.html. (Seller ref. MC0950)

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