RARE SECOND EDITION OF 1659-1661 OF DESCARTES' GEOMETRY, GREATLY EXPANDED FROM THE FIRST EDITION OF 1649 WITH THE ADDITION OF IMPORTANT COMMENTS: “This edition was the basic text for the generation that, in the last quarter of the century, introduced differential and integral calculus” (Jahnke).

Second edition of Frans van Schooten's Latin translation of Descartes's seminal work. The Géométrie first appeared in French as an appendix to Descartes's Discours de la Méthode (1637). Van Schooten first saw the Géométrie in Leiden, where Descartes had gone to supervise the printing of the Discours . Van Schooten published the first Latin translation in 1649, adding his own extensive commentary. In the second edition, the commentaries were expanded and served as a fundamental reference for the generation of scholars who developed integral calculus. Isaac Newton, for example, used this edition in his studies, as evidenced by his annotated copy held in the Cambridge University Library.

PMM 129. Poggendorff I: 557. "Descartes's "application of modern algebraic arithmetic to ancient geometry created the analytical geometry which is the basis of the post-Euclidean development of that science" - Printing and the Mind of Man “Probably the most important of all his legacies to science, for in its pages is to be found the exposition of a new science, the science of coordinate geometry” -Scott, Scientific Work of Descartes