[MATHEMATICS]. ANGELI, Stephano degli (1623-1697). Miscellaneum Hyperbolicum, et Parabolicum: In quo praecipue Agitur de Centris Graitatis Hyperbolae.

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Summer Fine Books & Manuscripts

By Potter & Potter Auctions

Jul 9, 2026

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• Lot Description

  [MATHEMATICS]. ANGELI, Stephano degli (1623-1697). Miscellaneum Hyperbolicum, et Parabolicum: In quo praecipue Agitur de Centris Graitatis Hyperbolae... Venice: Joannem La Nou, 1659. Small 4to. [8], 215, [1] pp. Numerous woodcut diagrams in text. Late nineteenth century vellum over decorative boards, gilt cloth spine label. FIRST EDITION OF A SCARCE MATHEMATICAL TEXT ON INFINITESIMALS.

  Condition

  Some wear, scuffing, soiling, toning to binding, title-page lightly foxed, light dampstain at lower corner through part of the text. Bottom corner of V1 torn away and reinforced with new paper. Book location label on front pastedown. A very good copy.

• Provenance

  Stefano degli Angeli (1623-1697) entered the Order of the Gesuati of Saint Jerolamen. At twenty-one, he became a reader of literature, philosophy, and theology in the faculty of his order at Ferrara, but left three years later for health reasons and went to Bologna. At the University of Bologna, under the guidance of Bonaventura Cavalieri (1598-1647), he developed a strong interest in mathematics. Cavalieri was so appreciative of his abilities that he entrusted Angeli with the task of correcting and publishing his last work, Exercitationes geometricae sex (1647). Angeli was offered the opportunity to succeed Cavalieri as professor of mathematics, but turned it down. After various appointments, he became in 1663 professor of mathematics at the University of Padua, a post that had been held by Galileo, and he remained there until his death. Riccati was one of his pupils. Angeli's mathematical works were on infinitesimals, which he used to study spirals, parabolas and hyperbolas. While in Venice, he published the present work, as well as De infinitorum parabolis (1654), De infinitorum spiralium spatiorum mensura (1660) which contains a generalization of Archimedes' spiral, and De infinitorum cochlearum mensuris ac centris gravitatis (1661) which carries out Torricelli's intention of finding the centre of gravity of a solid body called a cochlea. At Padua, he examined fluid statics based on Archimedes' principle and Torricelli's experiments. He published Della gravita dell aria e fluidi in 1671. This book has not appeared at auction in at least the last thirty years, according to American Book Prices Current. Riccardi, column 34, no. 3 ("raro"). 

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