"The ancients considered mechanics in a twofold respect; as rational, which proceeds accurately by demonstration: and practical. To practical mechanics all the manual arts belong, from which mechanics took its name. But as artificers do not work with perfect accuracy, it comes to pass that mechanics is so distinguished from geometry, that what is perfectly accurate is called geometrical, what is less so, is called mechanical. But the errors are not in the art, but in the artificers. He that works with less accuracy is an imperfect mechanic; and if any could work with perfect accuracy, he would be the most perfect mechanic of all; for the description if right lines and circles, upon which geometry is founded, belongs to mechanics. Geometry does not teach us to draw these lines, but requires them to be drawn; for it requires that the learner should first be taught to describe these accurately, before he enters upon geometry; then it shows how by these operations problems may be solved."
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Philosophiæ Naturalis Principia Mathematica
' (English: The Mathematical Principles of — often referred to as simply the Principia) is a famous book by Isaac Newton. The book established the foundations of classical mechanics and gives the physics and mathematics of and his based on . The Principia is written in Latin and comprises three volumes. The 1st edition was published in 1687 with a 2nd edition in 1713 and a 3rd edition in 1726.
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