Notes on Newton's dispute with Robert Hooke

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p. 49 – in Iones –

In 1673 D^r Hook wrote to him to send him something new for the transactions whereupon he sent him a little dissertation to confute that com̄on objection w^ch is that if it were true that the earth moved from West to East all falling bodies would be left to the West, & maintained that on the contrary they would fall a little Eastward & having described a curve with his hand to represent <2> the motion of a falling body he drew a negligent stroke with his pen from whence D^r Hook took occasion to imagine it \that he meant the curve/ would be a spiral, whereupon the D^r wrote to him that the curve would be an Ellipsis & that the body would move according to Kepler's notion w^ch gave S^r I. N. an occasion to examine the thing thoroughly & for the foundation of the calculus \he/ intended he <3> laid down this proposition that the areas described in equal times were equal w^ch tho^u assumed by Kepler was not by him demonstrated of w^ch demonstration the first glory is due to S^r I.

Mem^m Pemberton in his preface w^ch vide mentions this in a different \another/ manner – He says particularly – Upon this principle he found the line described by a falling body to be an Elipsis the center of the earth being one focus <4> & the primary planets moving in such orbits round the sun he had the satisfaction to see that this enquiry w^ch he had undertaken merely out of curiosity could be applied to the greatest purposes – Hereupon he composed near a dozen propositions relating to the \motion of the/ primary motions planets about the sun, & from \no other materials but/ those few propositions only he composed his principia in the space of one year & half —– S^r I^s N. says in one of his papers relating to Leibnitz that he wrote the Principia in 17 or 18 months beginning the end of Dec^r 1684 {sic} – & sending it to the Society in May – 1686 except about 10 or 12 of the propositions w^ch were composed before Viz. two in 1679 – & the rest in Iune & Iuly – 1684 —