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I noticed on a copy of the title page of P.M. that there were two
versions of the letter "s", one that looked like an integral sign,
one that is like our current lower-case s. As far as I could tell,
the lower case veraion was used for an "s" appearing at the end of a
sentence,
and the integral-sign form for s interior to a word. Was
this the rule at Newton's time?
And what would appear for an "s" at
the start of a word, either capitalized or not?
I. B. Cohen's edition of Newton's papers has some photographic
reproductions of Newton's papers published in English in "Philosophical
Transactions". I see three different forms of the letter "s". The two
you mention and a third which resembles an f. I find all of them both
beginning words and inside words.