“IV. That the differential method is one and the same with the method
of fluxions, excepting the name and mode of notation; Mr. Leibnitz
calling those quantities differences which Mr. Newton calls moments or
fluxions; and marking them with the letter _d_—a mark not used by Mr.
Newton.
“And therefore we take the proper question to be not who invented this
or that method, but who was the first inventor of the method. And we
believe that those who have reputed Mr. Leibnitz the first inventor
knew little or nothing of his correspondence with Mr. Collins and Mr.
Oldenburg long before, nor of Mr. Newton’s having that method above
fifteen years before Mr. Leibnitz began to publish it in the Acta
Eruditorum of Leipsic.
“For which reason we reckon Mr. Newton the first inventor; and are
of opinion that Mr. Keill, in asserting the same, has been no ways
injurious to Mr. Leibnitz. And we submit to the judgment of the society
whether the extract and papers now presented to you, together with what
is extant to the same purpose in Dr. Wallis’s third volume, may not
deserve to be made public.”
This report being read, the society unanimously ordered the collection
of letters and manuscripts to be printed, and appointed Dr. Halley,
Mr. Jones, and Mr. Machin to superintend the press. Complete copies of
it, under the title of _Commercium Epistolicum D. Johannis Collins et
aliorum de analysi promota_, were laid before the society on the 8th
January, 1713, and Sir Isaac Newton, as president, ordered a copy to be
delivered to each person of the committee appointed for that purpose,
to examine it before its publication.
Leibnitz received information of the appearance of the Commercium
Epistolicum when he was at Vienna; and “being satisfied,” as he
expresses it, “that it must contain _malicious falsehoods_, I did not
think proper to send for it by post, but wrote to M. Bernouilli to give
me his sentiments. M. Bernouilli wrote me a letter dated at Basle,
June 7th, 1713, in which he said _that it appeared probable that Sir
Isaac Newton had formed his calculus after having seen mine_.”[67] This
letter was published by a friend of Leibnitz, with reflections, in a
loose sheet entitled _Charta Volans_, and dated July 29, 1713. It was
widely circulated without either the name of the author, printer, or
place of publication, and was communicated to the _Journal Literaire_
by another friend of Leibnitz, who added remarks of his own, and
stated, that when Newton published the Principia in 1687, _he did not
understand the true differential method; and that he took his fluxions
from Leibnitz_.
Public-domain text, read in full here on John Shaqi.
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