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Isaac Barrow had given a series of lectures in 1664-65. These lectures dealt with the general concepts of space, time and motion. With Newton assisting in their preparation, these lectures were compiled and published in 1670 as Lectiones Geometricae. It is in the Lecture X, Proposition 11 of Lectiones Geometricae, that a geometrical theorem is mentioned, ...


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According to the history given here, he didn't. I had learned to do integrals by various methods shown in a book that my high school physics teacher Mr. Bader had given me. [It] showed how to differentiate parameters under the integral sign — it’s a certain operation. It turns out that’s not taught very much in the universities; they don’t emphasize it. But ...


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