APOLLONIUS PERGAEUS. Conicorum Lib. V.VI.VII. …reddidit. Io : Alfonsus Borellus... Firenze, Giuseppe Cocchini, 1661
Estimation :
Start Price 3 000 €
Description
Folio, mm. 355x260; Later half velum binding with corners, titles written on the spine; pp. [36], 415, [1 bl.]; Title-page in red and black ink, hundreds of geometrical illustrations within the text.
EDITIO PRINCEPS. Work very beautiful and rare, by Alfonso Borelli. This is theFIRST EDITION of the books V, VI and VII of conicorum of Apollonius, which are the most original work on conic sections of the mathematician from Perga; They were translated by an Arabic manuscript of Abu'l Fath of Isphahan, which were acquired by the Medici family in the first half of the seventeenth century; the text of the books V-VII survived only in this Arabic manuscript. DBI: "The translation was made in Rome in 1658, in collaboration with Abraham Ecchellense Maronite monk, professor of oriental languages at the Sapienza. These literally translated the text, while Borelli showed his behalf all theorems, almost recreating the whole matter. The work was extremely difficult ... but in September was already completed, with the addition of the Conical Liber Assumptorum Archimedes, which also features in the code ... "
Norman: “This was a valuable addition to the mathematical knowledge of the time, for whereas Books I-IV of the Conics dealt with information already known to Apollonius’s predecessors, Books V-VII were largely original. Book V discusses normals to conics and contains Apollonius’s proof for the construction of the evolute curve; Book VI treats congruent and similar conics and segments of conics; Book VII is concerned with propositions about inequalities between various functions of conjugate diameters”. Cajori: “The fifth book reveals better than any other the giant intellect of its author. Difficult questions of maxima and minima, of which few examples are found in earlier works, are here treated most exhaustively. The subject investigated is to find the longest and shortest lines that can be drawn from a given point to a conic. Here are also found the germs of the subject of evolutes and centres of osculation.”
D.B.I., XII, p. 546; Norman 58; Honeyman 119 ; De Vitry 29. Cajori, A history of mathematics.
Condition Report: Sign of dampstain on the first leaves. Fresh specimen at full margins, uncut. Il lotto viene venduto provvisto di licenza d'esportazione.THE LOT IS OFFERED WITH A VALID EXPORT LICENCE
EDITIO PRINCEPS. Work very beautiful and rare, by Alfonso Borelli. This is theFIRST EDITION of the books V, VI and VII of conicorum of Apollonius, which are the most original work on conic sections of the mathematician from Perga; They were translated by an Arabic manuscript of Abu'l Fath of Isphahan, which were acquired by the Medici family in the first half of the seventeenth century; the text of the books V-VII survived only in this Arabic manuscript. DBI: "The translation was made in Rome in 1658, in collaboration with Abraham Ecchellense Maronite monk, professor of oriental languages at the Sapienza. These literally translated the text, while Borelli showed his behalf all theorems, almost recreating the whole matter. The work was extremely difficult ... but in September was already completed, with the addition of the Conical Liber Assumptorum Archimedes, which also features in the code ... "
Norman: “This was a valuable addition to the mathematical knowledge of the time, for whereas Books I-IV of the Conics dealt with information already known to Apollonius’s predecessors, Books V-VII were largely original. Book V discusses normals to conics and contains Apollonius’s proof for the construction of the evolute curve; Book VI treats congruent and similar conics and segments of conics; Book VII is concerned with propositions about inequalities between various functions of conjugate diameters”. Cajori: “The fifth book reveals better than any other the giant intellect of its author. Difficult questions of maxima and minima, of which few examples are found in earlier works, are here treated most exhaustively. The subject investigated is to find the longest and shortest lines that can be drawn from a given point to a conic. Here are also found the germs of the subject of evolutes and centres of osculation.”
D.B.I., XII, p. 546; Norman 58; Honeyman 119 ; De Vitry 29. Cajori, A history of mathematics.
Condition Report: Sign of dampstain on the first leaves. Fresh specimen at full margins, uncut. Il lotto viene venduto provvisto di licenza d'esportazione.THE LOT IS OFFERED WITH A VALID EXPORT LICENCE
