By Peter Damerow, Gideon Freudenthal, Peter McLaughlin, Jürgen Renn
The query of whilst and the way the elemental ideas that signify glossy technology arose in Western Europe has lengthy been principal to the background of technology. This ebook examines the transition from Renaissance engineering and philosophy of nature to classical mechanics orientated at the vital suggestion of pace. For this re-creation, the authors comprise a brand new dialogue of the doctrine of proportions, an research of the function of conventional statics within the building of Descartes' impression principles, and pass deeper into the controversy among Descartes and Hobbes at the rationalization of refraction. in addition they offer major new fabric at the early improvement of Galileo's paintings on mechanics and the legislation of fall.
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Extra info for Exploring the Limits of Preclassical Mechanics: A Study of Conceptual Development in Early Modern Science: Free Fall and Compounded Motion in the Work of Descartes, Galileo and Beeckman
48 From this point of equilibrium [punctum aequalitatis] onwards the body will continue in uniform motion. Beeckman's theory of gravitation is hence conceived in analogy to hydrostatics and Archimedes' principle is applied to determine the point of eqUilibrium in free fall. Beeckman's concept of gravitation thus has the following consequence. The fact of increased motion presupposes a medium (material spirits), the particles of which impart new motion to the falling body. The medium, on the other hand, causes a retardation of the falling body until the latter reaches the point of equilibrium, from which point on it proceeds in uniform motion.
50 AT X, 77-78; J IV, 51. ) 40 CONCEPf AND INFERENCE a a f ~-------I g cL------------'b Fig. 13 Descartes' figure (AT X, 77) c~---~~-----V· Fig. 14 Corresponding pyramid Descartes' own diary note ends with the following corresponding remark51 : But the problem could be posed in a different way, such that the attractive force of the Earth be equal to that in the first moment: and, while the first remains, a new one is produced. In this case the problem would be resolved by a pyramid. " As the text shows, a more difficult way is a different and more complicated principle than the one assumed by Beeckman.
559-561. THE MEDIEVAL mADmON 19 qualitatis or of the application of the Merton Rule. "19 The same is true of all other books printed in the 15th and 16th centuries in which this rudimentary form of the configurations illustrates in the margins the concepts discussed in the text itself. 20 The following text taken from Jacobus de Sancto Martino's De perfectione specierum shows clearly the function of the figures as representing conceptual links between terms rather than as calculation devices21 : For latitude is to be imagined by a plane surface and this in many ways.
Exploring the Limits of Preclassical Mechanics: A Study of Conceptual Development in Early Modern Science: Free Fall and Compounded Motion in the Work of Descartes, Galileo and Beeckman by Peter Damerow, Gideon Freudenthal, Peter McLaughlin, Jürgen Renn