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“In the Principia Newton boldly set forth mixed proportions. Unlike his predecessors, he would state that a quantity is proportional to a quantity of a wholly different kind. That is, Newton did not restrict himself to propositions of the form: a given velocity is to a second velocity as the first time is to a second time.”
“The force as the distance of the body from the center of the ellipse;”
book 1, prop. 10, cor.1
“The centripetal force is … inversely as the square of the distance
SP” book 1, prop. 11
“a centripetal force that is inversely proportional to the square of the
distance.” book 1, prop. 13, corol. 1.
“In this way Newton freed the mathematical description of nature from the restricting bonds of ancient rules.”
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