Author: SCHOOTEN, FRANCISCI À (THE YOUNGER).- Conic sections.- BARTHOLINUS.- Cartesianism.-
Title: 1) De organica conicarum sectionum in plano descriptione, tractatus. geometris, opticis; praesertim verò gnomonicis & mechanicis utilis. Cui subnexa est Appendix, de cubicarum aequationum resolutione. B.u.w. 2) IDEM, [Er. Bartholinus ed.], Principia Matheseos Universalis, seu introductio ad Geometriae Methodum Renati des Cartes, edita ab. Er. Bartholinus , Casp. Fil.
Description: Lugd. Batavor.; Lugd. Batav., Ex Officinâ Elzeviriorum, 1646. Ibid., id. 1651. [Meas. appr. 18.5 x 14.5 cm]. 4to. 2 parts in 1 vol. Printed titles in red and black. W. Elsevier's woodc. 'non solus'printer's mark on titles, woodc. head- and tailpieces, some woodc. initals for both parts. [ad 1:] w. appr. 70 woodc. text ills. [ad 2:] no woodc. text ills. End of the 18th, early 19th c. 'stijfselverfpapier'or pastepaper brds., parts of paper on hinges of spine gone, lower part 35 mm missing. Edges of covers rubb., corners some dam. [*4, **4, A - )4, P3, P4 blank not present]. [2: *4, **4, A - F4 (F4 blank)]. (XVI, 117, I (blank) pp.). (XVI, 46, II (blank) pp.). DSB XII, 205/7: Frans van Schooten (Leiden ca. 1615 - 1660). 'It was probably through his teacher, the Arabist and mathematician Jakob Gool, that Schooten met Descartes, who had just come to Leiden from Utrecht to supervise the printing of the "Discours" ... with letters of introduction from Descartes, S. went to Paris (and England and Ireland) ... in 1645 Christiaan Huygens and his elder brother Constantijn began to study law at Leiden. They attended Schooten's general introductory course ... Schooten's FIRST INDEPENDENT WORK was a study of the kinematic generation of conic sections (1646). ...an interesting problem that Schooten considered was how to construct a cyclic quadrilateral of given sides, one of which is to be the diameter - a problem that Newton later treated in the lectures on 'Arithmetica Universalis ...': Willems, 607: BdH 4216: Honeyman, part... 2807: Macclesfield, 873: Sotheran 4265: ' ... of great interest for the first chapter, "de rectis lineis, ... ", in which the author devises a method of drawing a straight line by means of a link and a triangular ruler, especially in connexion with the alleged discovery of drawing straight lines by linkages by A. Peaucellier in 1864.': Thijssen-Schoute, Ned. Cartesianisme, p. 79 - 84 (in transl.) 'It is to Van Schooten the Younger that Descartes owes a debt of gratitude, for he is responsible for most of the figures/ills. in his works as well as producing the latin translation of D's "géométrie". Convinced of the importance of Descartes' geometrical finds van Schooten's course of mathematics taught at Leyden University was very modern and contributed not in a small way to the glory of Leyden University and in a broader sense heralded a period of great bloom for Dutch mathematical science. Pogg. II, 837: Cantor, Vorlesungen II, 693: BdH Bouwstoffen I (1878), p. 278, nr. 14: The 'organica' bound up with Erasmus Bartholinus' edition of Descartes geometry. See:

Keywords: Witt Circle