Classical mechanics is mathematical not only in the sense that it makes use of mathematical terms and methods for abbreviating arguments which might,… - Eduard Jan Dijksterhuis

It is pointed out convincingly by George Sarton in The Life of Science that the development of science, as contrasted with that of art, is cumulative and progressive. Every scientist is educated in the current knowledge of his age and, making use of all he has learned, attempts to add something of his own to the existing body of knowledge. For this reason it is essentially impossible to isolate his personal achievements from the total pattern of scientific development. It follows that one cannot write the scientific life story of an isolated scholar, but only the history of the branches of science in which he participated.

In the course of the fifteenth century, the sexagesimal division of the radius, in terms of which cords and goniometrical line-segments were expressed, was generally superseded, though not immediately replaced, by a decimal system of positional notation. Instead, mathematicians sought to avoid fractions by taking the Radius equal to a number of units of length of the form {\displaystyle 10^{n}} {\displaystyle 10^{n}}...The first to apply this method was the German astronomer Regiomontanus... the second half of the sixteenth and the first decades of the seventeenth century... observed of a gradual development of this method of Regiomontanus into a complete system of decimal positional fractions. Yet none of the steps taken by... writers is comparable in importance and scope with the progress achieved by Stevin in his De Thiende.

[The mathematical character of Descartes' physics lies in its methodological nature, namely, the] axiomatic structure of the whole system, in the establishment of indubitable foundations and the deduction of the phenomena.