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Part VI considers some of the features of the Newtonian mathematization of force and motion. Its main focus is the Principia. The time span is from 1684 to 1687 (the period in which the elaboration of Newton’s magnum opus took place), but some considerations regarding later additions, most notably the second edition (1713), are also be included.
My aim is to illustrate how the canon of problem resolution and composition that Newton endorsed in his previous works and his policy of publication shaped his most famous book.
The mathematical structure of the Principia is rather complex. A variety of geometrical methods play a prominent role. Newton’s ability to obtain profound results in natural philosophy by purely geometrical means is astonishing. The Principia is still an inspiring book for the practicing mathematical physicist. Yet in this work Newton also employed algebra and calculus (albeit not systematically). The attempt to understand how the various components of Newton’s mathematical methods interact in the Principia proves a difficult historiographic exercise.
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