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What got his mind going was when he read that parallelograms upon the same base and between the same parallels are equal. He then returned back to the astronomy book with a greater understanding and interest.
In the summer of 1665, the plague closed down the University he was attending and during the next two years, he began revolutionary advances in mathematics, optics, physics, and astronomy. During this time he laid the foundations for differntial and integral calculus. He understood that the integrations of a function is merely the inverse procedure to differentiating it, taking differentiation as a basic operation, he produced simple analytical methods that unified many separate techniques previously developed to solve apparently unrelated problems such as areas, tangents, the lengths of curves and the maxima and minima of functions...
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