The Fundamental Anagram of Calculus

Here's an interesting quote from the correspondence of Isaac Newton:

            6accdae13eff7i3l9n4o4qrr4s8t12ux

This is from the 2nd letter that Newton wrote to Leibniz (via 
Oldenburg) in 1677.  He was responding to some questions from 
Leibniz about his method of infinite series and came close to 
revealing his "fluxional method" (i.e., calculus), but then 
decided to conceal it in the form of an anagram.  After describing 
his methods of tangents and handling maxima and minima, he wrote

  "The foundations of these operations is evident
   enough, in fact; but because I cannot proceed with 
   the explanation of it now, I have preferred to 
   conceal it thus: 6accdae13eff7i3l9n4o4qrr4s8t12ux.
   On this foundation I have also tried to simplify
   the theories which concern the squaring of curves,
   and I have arrived at certain general Theorems".

The anagram expresses, in Newton's terminology, the fundamental 
theorem of the calculus: "Data aequatione quotcunque fluentes 
quantitates involvente, fluxiones invenire; et vice versa", which 
means "Given an equation involving any number of fluent quantities 
to find the fluxions, and vice versa."

Arranging the characters in his Latin sentence in alphabetical
order (and assuming he counted the dipthong "ae" as a separate 
character, and u's and v's are counted as the same character), the 
number of occurrances of each character are as follows

  --6---         -----13------    ---7--- -3- ----9---- --4- --4-
  aaaaaa cc d ae eeeeeeeeeeeee ff iiiiiii lll nnnnnnnnn oooo qqqq

      --4- ----9---- -----12-----
  rr  ssss ttttttttt uuuuuuuvvvvv x

This agrees with Newton's anagram

      6a cc d ae 13e ff 7i 3l 9n 4o 4q rr 4s (8t) 12u x
                                              9t?

except that I count nine t's instead of eight.  Possibly Newton's
original Latin spelling used one fewer t's, although I can't see
which one of them could plausibly be omitted.  It could also be that
the anagram has been incorrectly copied, but it agrees with the 
version in both Westfall's and Christianson's biographies, as well
as the transcription of Newton's letter contained in Calinger's 
Classics of Mathematics.  Another possibility is that Newton simply
mis-counted.  This isn't as implausible as it might seem at first, 
since there is a well-known psychological phenomenon of overlooking 
the second letter in short connective words (like the f in "of") when
quickly counting the number of occurences of a certain letter in a 
string of text.  It's very easy, when counting the number of t's in 
Newton's latin phrase, to neglect the "t" in the word "et".

Ironically, neither Leibniz nor Newton had published anything on
calculus at the time this letter was exchanged, although both are 
believed to have been in possession of the calculus, so if Newton 
had just come right out with a complete and explicit statement of
his calculus he would have placed Leibniz in a VERY difficult 
position, and would have established his own priority beyond doubt
(since the letter passed through Oldenburg).  Instead, Newton's 
very protectiveness and secrecy caused him to lose whatever 
unambiguous claim to priority he might have had (and led to an
acrimonious priority dispute that embittered both his and Leibniz's
later lives).

On a very deep level it was natural for Newton to express himself in 
anagrams, because he seems to have regarded "contrived obscurity" (in 
Domson's words) as an essential feature of God's design for the world,
and Newton adopted this mode of operation in his own work. Recall that
he said he had made the Principia "designedly abstruse" (to avoid being
baited by "little smatterers" in mathematics). Even more pointedly,
Newton spent many years attempting to interpret the prophesies in the 
Bible, which he believed were presented in deliberately disguised form 
so that their meaning could only be inferred by solving them like
puzzles. Interestingly, he had disdain for people who tried to unravel
prophesies of future events. In his view, this was misguided and doomed
to failure. He believed the encoded prophesies were intended to be
understood only AFTER the fact. In his "Observations upon the Prophecies
of the Apocalypse of St. John" he wrote

  The folly of interpreters has been to foretel times and things 
  by this Prophecy, as if God designed to make them Prophets. By 
  this rashness they have not only exposed themselves, but brought 
  Prophecy also into contempt. The design of God was much otherwise.
  He gave this [Revelations] and the Prophecies of the Old Testament, 
  not to gratify men's curiosities by enabling them to foreknow 
  things, but that after they were fulfilled they might be interpreted
  by the event, and [that] his own Providence, not the Interpreters, 
  be then manifested thereby to the world. For the event of things 
  predicted many ages before, will then be a convincing argument that
  the world is governed by Providence.

We might say that Newton saw the biblical prophesies serving exactly the same 
function as his anagram on fluxions and fluents, i.e., it is presented in a 
form that cannot be interpreted to reveal its meaning before the fact, but 
after the facts have transpired and the solution of the puzzle is found, it 
can serve as irrefutable evidence of the Providence of the creator.