Several in fact are already, wholly or partially, in print. Important extracts from I, 1 were inserted by James Wilson in his Mathematical tracts of the late Benjamin Robins, Esq. (London, 1761): ii, Appendix, 351–356. II, 2 has recently appeared as item No. 349 in the Correspondence of Isaac Newton, iii (Cambridge, 1961) and is discussed by HerivelJ. W. in “Newton on rotating bodies”, Isis, liii (1962) 212–218. III, 1B is substantially the version of De motu extracted by S. P. Rigaud from the Royal Society copy for his Historical essay on the first publication of Sir Isaac Newton's Principia (Oxford, 1838), Appendix, No. I, 1–19, and reprinted by W. W. Rouse Ball in his Essay on Newton's Principia (London, 1893) 35–31 (where, on the following pages 51–56, it is collated with the Portsmouth versions now reproduced). III, 2 was first published from Locke's amanuensis copy in Lord King's Life of Locke (2nd edition, London 1830) 389–400, (3rd edition (London, 1858) 210–216), and its deficiencies made good by Rouse Ball in his Essay, 116–120 (likewise from Newton's original draft now reproduced in its entirety). V, 1 first appeared in print in Rouse Ball's Cambridge papers (London, 1918): Part II, 244–251: Ch. XIV, “Isaac Newton on university studies”. VI, finally, as the authors point out in a late footnote on p. 399, is also to be found in appendix to Geoffrey Keynes's Bibliography of Dr. Robert Hooke (Oxford, 1960).
2.
In the introduction (pp. 183–213) to De aere (which is itself a revised version of their “Newton's Theory of Matter”, Isis, li (1960) 131–144.
3.
Thus, in denial of n. 2 on p. 398, optical researches entered on Add 4004: 1vff in September 1664 (Newton's own explicit dating!) show that he was already familiar with the optical portion of Book 2 of Descartes's Geometrie (which he read in Schooten's second Latin edition of 1659, pace p. 3, 1.30).
4.
As the Halls' argue it, in the first place “the centripetal force towards R in the orbit at P is … as 1/PR”; secondly, “the centripetal force towards the point C is to the centripetal force towards R as PC. PR2 is to CG3”; finally—this must be so to make their argument work at all!—the radius of curvature PR at R is equal to v̇. (It is not clear what they mean by V̈: Elsewhere, in note 2 on p. 14 “ẋ2” must be read throughout for their “Ẍ”—in particular, their statement “ẋ = Ẍ = 1” is logically impossible as it stands.) In correction, for “1/PR” in the first read “1/PR3” (a direct deduction from Principia: I, Prop. VI); for “CG3” in the second substitute “Cg3”, where Cg is taken parallel to PR and so perpendicular to PgG (making correct application of Principia, second edition: I, Prop. VII, Cor. 3); in the third take the radius of curvature PR = (CG/Cg)3/V̈.
5.
On p. 180 of his contribution, “The history of science”, to a symposium on Approaches to history (London, 1962), ed. by FinbergH. P. R..
6.
Especially those on pp. 16, 17, 34 (correctly copied by James Wilson in 1761 on p. 352 of his Mathematical tracts (note 1)!), 37, 51, 53, 59, 215 and 218.
7.
The fact is clearly recorded by TurnbullH. W. in his Correspondence of Isaac Newton, i (Cambridge, 1959) 391, n. 1.
8.
I would like to record my disagreement with the authors' qualification (p. xi, 1.28) of Newton's Latin prose as being “heavy”. Newton's writing style is often, to be sure, rough and unpolished, but it is also rarely other than direct, forceful, fluid and precise—the latter evidently being his prime consideration.
9.
Newton, whose knowledge of French was decidedly weak, would here, in fact, seem to refer to the first Latin issue (1668) of Clerselier's edition of Descartes' correspondence: There, as in its original French edition of 1659, vol. ii, no. XCVI is Descartes's letter to Mersenne of 9 January 1639, though the Halls' version of the relevant passage is apparently made from AdamTannery'sŒuvres de Descartes, ii (1898) 482–483. Newton's phrase then becomes of some importance in offering a firm antedate for his De gravitatione.
10.
In correction, on p. 349, n. 3 after “Scholium” add “and Corollaries” (p. 343. n. 3) paragraph 4 occurs in C only; (p. 262, n. 1) C in fact continues to the end of the scholium; (p. 265, n. 1) part of this variant is cancelled in D; (p. 266, n. 1) for “B reads” substitute “B and D read”. (The second and the two last would appear to be taken over from Rouse Ball's compilation in his Essay (note 1) 51ff.)
