Beschreibung:

72 2928 Mathematics Kinckhuysen G 1625 1666 72 2928 Mathematics Kinckhuysen G 1625 1666 72 2928 Mathematics Kinckhuysen G 1625 1666 72 2928 Mathematics Kinckhuysen G 1625 1666 72 2928 Mathematics Kinckhuysen G 1625 1666 72 2928 Mathematics Kinckhuysen G 1625 1666 72 2928 Mathematics Kinckhuysen G 1625 1666 72/2928 [Mathematics]. Kinckhuysen, G. (1625-1666). (Collection of mathematical texts). Haarlem, 1634-?, pen and black ink, occas. w. calligraphed divisional title-pages and illustrations in pen and coloured ink, contemp. vellum, sm. folio. Gerard Kinckhuysen (±1625-1666), was a merchant and mathematician from Haarlem, who married into the wealthy family of Elisabeth Ampe (1625-1707). Her father was the successful businessman and brewer Abraham Ampe. The Ampe family were the owners of the estate that is nowadays known as Duin en Kruidberg (near Velsen). In the early 1630s a survey of the estate was drawn up by the surveyor and mathematician Pieter Wils. The map that he drew of the estate is held by the Velsen archive. Interestingly enough Pieter Wils was the mathematician under whose guidance the young Kinckhuysen studied mathematics. When in 1647 Pieter Wils died, his widow asked Kinckhuysen to sort his papers. This resulted in the publication of P. Wils, Wiskonstighe wercken (Haarlem, 1648). As is shown by the present manuscript collection of mathematical texts, Gerard Kinckhuysen must have been a precocious child. The first entry dates from 1634, when he was 9 or 10 years old. A short preface by Kinckhuysen, worth quoting in full, gives a valuable insight into the nature of the manuscript and the circumstances under which the manuscript was written: "Nota. oft ijmant ander Als den schrijver dit Boeck ter handen quam die moet weeten, dat dit Boeck moet aengemerckt worden alst inderdaet is. Volgt derhalve de Verclaering: Terwijl den schrijver schoolgingh heeft hij een deel dingen aengeteekent die hij int school leerde ende noch daer beneffens heeft hij hier en daer wat geschreven uijt eenigs boeck, soo dat ten lesten sonder eenigs orders[?] dit Boeck bij één geraeckt is, niettemin sooment maer tot sijn eijgen gebruijck neemt, sal men der noch veel nutticheijt uit konnen haelen." The contents of the manuscript are as follows: (1). (Without title), preceded by a leaf with calligraphed: "Gerrit Kinckhuijs Anno 1634 Den 1 november"; the manuscript dated in top margin "1634" and "1635", 1-56 lvs. - ON: arithmetic and interest (a few pages w. interest tables); mainly examples, problems and/ or exercises. (2). "Hier volghet eene corte ende claere Instructie vanden alder cunstrijcksten Regulen d'Algebre oft Coss Anno 1635 In Haerlem den 14 martij" (Here follows a concise exposition of the cossic algebra (...)). 57-89 lvs. - ON: root extractions (square and higher roots) and basics of the Cossic algebra of the period; mainly worked examples and/ or problems, excercises. Contains a few references to other mathematicians such as Valentin Mennher, Ludolph van Ceulen, Simon Jacobs. (3). "Hier Volghet De konst der zeevaert Anno 1635 in Haerlem den 24 April" (here follows the art of navigation). 90-99 lvs. - ON: some basic knowledge of astronomy for the navigator, and dead reckoning calculations. One drawing of a compass rose and several diagrams for finding latitude. Incomplete. (4). "Extractio in binomische getallen" (extraction of binomial roots). (1635), 101-102 lvs. - ON: reduction of nested roots with geometric justification of the calculations. (5). "Vanden hemelschen ende den Aertschen globus" (of heavenly and terrestrial globes ). N.d., 103-106 lvs. - ON: mainly latitudes and longitudes of various places on earth. With a nice drawing of a globe in pen and ink. (6). "Regula Quantitates". 1637, (107-115) lvs. - ON: algebraic problems (many Diophantine), solved by cossic algebra. (7). "Cubic Coss". 1636, (116-120) lvs. - ON: some problems and solutions involving equations of the third degree; the last problem references the second p