[MATHÉMATIQUES] [Antoine ARNAULD ]- Nouveaux elemens de géom - Lot 347

Lot n° 347
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Estimation :
300 - 400 EUR
Result : NC
[MATHÉMATIQUES] [Antoine ARNAULD ]- Nouveaux elemens de géom - Lot 347
[MATHÉMATIQUES] [Antoine ARNAULD ]- Nouveaux elemens de géometrie. Contenant, outre un ordre tout nouveau, & de nouvelles demonstrations des propositions les plus communes, de nouveaux moyens de faire voir quelles lignes sont incommensurables, de nouvelles mesures des angles, dont on n'était pas encore avisé, et de nouvelles manières de trouver & de demontrer la proportion des lignes. Second edition. Où il y a un traité tout nouveau des proportions, & beaucoup d'autres changements considerables. Paris, Guillaume Desprez, 1683. In-4° : [20], 400 pp. 4 ff. of pl. the first 4 ff. washed, rest. on ff. a3-a4 with small loss of characters, ring of wetness in upper margin of variable intensity. Contemporary calf, spine ribbed, pdt. Joints, upper cover and corners skilfully restored. An important second edition of this major mathematical text by Port-Royal, given sixteen years after the 1667 original and considerably revised. It is augmented by a new treatise on proportions and a preface by De Beaubourg, while several parts, notably the second and third books, have been taken over by Arnauld. The work is distinguished by a methodical reworking of Euclidean geometry, whose propositions are presented in a new order. Title vignette, headbands, numerous geometric figures in the text and 4 engraved plates of magic squares, here bound in fine, complete the illustration of this volume, particularly sought-after for its final section devoted to magic squares (pp. 385-400), which conveys Pascal's solution to one of the most famous problems in 17th-century arithmetic, giving this book a special place in the history of scientific exchanges between Arnauld, Pascal and the Port-Royal circle.
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