The first edition was published under the imprint of Samuel Pepys who was president of the Royal Society. By the time of the second edition, Newton himself had become president of the Royal Society, as noted in his corrections.
It has been digitised by Cambridge University Library and can be seen in the Cambridge Digital Library [1] along with other original works by Isaac Newton [2].
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Originally uploaded to En Wiki - 20:05, 5 November 2004 . . Solipsist
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Newton's own copy of his Principia, with hand-written corrections for the second edition, in the Wren Library at Trinity College, Cambridge