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LUINO, Francesco (1740–1792) and Roger Joseph BOSCOVICH (1711–1787)

Delle progressioni e serie libri duo ... coll’aggiunta di due memorie del P. Ruggiero Giuseppe Boscovich

Milan: Giuseppe Galeazzi, 1767
4to: π4 a–b4 A–2I4 (–I4) 2K6 (cancels G1, I3, X3), 143 leaves, pp. xvii [3] 265 [1] (errata). Title printed in red and black with an engraved printer’s device on title showing a printing press, woodcut initials.
1 folded leaf containing two printed tables, ‘Tavola prima [– secunda]’ inserted as a foldout facing p. 24.
Condition: 270 x 190, untrimmed. Small hole in blank margin of last leaf, a good fresh copy.
Binding: Contemporary half vellum over pasteboard, gilt bands and centre ornaments in spine compartments, black leather lettering piece, blue-green pastedowns. Headcap chipped, short split in upper joint and some other wear.
Provenance: Sebastiano Canterzani (1734–1818), Italian physicist and mathematician, with his name inscribed on paper label on the pastedown. Listed in Catalogo della libreria privata Canterzani esistente in Bologna via Toresotto di San Martino (Bologna: Tipografia dell' Istituto delle Scienze, 1847) p. 61. A short blue chalk line below imprint on title may also be associated with Canterzani’s ownership, or that of his son.
First (only) edition.
Bibliography: Riccardi II, Col. 56; Sommervogel V, col. 181 no. 1 and (for Boscovich) I, col. 1843, no. 80; Whyte, Boscovich, p. 219.

Nothing is known of Luino’s life and education before he entered the Jesuit order in Milan in 1757 after which he studied and taught at the Jesuit college at Brera. The main influence on his mathematics was the Jesuit Roger Joseph Boscovich, professor of mathematics at Pavia and also director of the observatory at Brera. This is Luino’s first work, on arithmetical and geometrical series. It was approved and perhaps promoted by Boscovich and has two of his papers appended to it: ‘Metodo di evitare i logaritmi negativi’ and ‘Metodo di alzare un infinitinomio a qualunque potenza indefinita’ (pp. 237–265). Boscovich’s importance in the history of mathematics is in his contributions to astronomical calculation – appropriate to the the interests of the former owner of this copy.

Provenance: Sebastiano Canterzani, professor of mathematics at the university of Bologna was particularly known for his work on mathematical analysis. In astronomy, he calculated the orbit of Venus, (see Epistola, qua Eustachii Zanotti observatio Veneris Solem trajicientis ab omni erroris suspicione liberatur, 1764). He was made secretary of the Academy of the Institute of Sciences of Bologna in 1761. Canterzani’s books formed the major part of the library of his son, the bibliographer Giambattista Canterzani, sold at auction on 5 October 1847.

OCLC locates copies in North America at Harvard, Brown, Bancroft, Burndy, Loyola, and American Philosophical Society. There is also a copy at Columbia (also untrimmed).