A Budget of Paradoxes, Volume IDe Morgan, Augustus
Philosophy
A Budget of Paradoxes, Volume I
De Morgan, Augustus
Circle-squaring; Perpetual motion; Science -- Miscellanea; Trisection of angle
In six dialogues: the sixth contains a quadrature of the circle.[197] But
there is another edition of this work, without place or date on the
title-page, in which the quadrature is omitted. This seems to be connected
with the publication {110} of another quadrature, without date, but about
1670, as may be judged from its professing to answer a tract of Wallis,
printed in 1669.[198] The title is "Quadratura circuli, cubatio sphaerae,
duplicatio cubi," 4to.[199] Hobbes, who began in 1655, was very wrong in
his quadrature; but, though not a Gregory St. Vincent,[200] he was not the
ignoramus in geometry that he is sometimes supposed. His writings,
erroneous as they are in many things, contain acute remarks on points of
principle. He is wronged by being coupled with Joseph Scaliger, as the two
great instances of men of letters who have come into geometry to help the
mathematicians out of their difficulty. I have never seen Scaliger's
quadrature,[201] except in the answers of Adrianus Romanus,[202] Vieta and
Clavius, and in the extracts of Kastner.[203] Scaliger had no right to such
strong opponents: Erasmus or Bentley might just as well have tried the
problem, and either would have done much better in any twenty minutes of
his life.[204]
AN ESTIMATE OF SCALIGER.
Scaliger inspired some mathematicians with great respect for his
geometrical knowledge. Vieta, the first man of his time, who answered him,
had such regard for his opponent {111} as made him conceal Scaliger's name.
Not that he is very respectful in his manner of proceeding: the following
dry quiz on his opponent's logic must have been very cutting, being true.
"In grammaticis, dare navibus Austros, et dare naves Austris, sunt aeque
significantia. Sed in Geometricis, aliud est adsumpsisse circulum BCD non
esse majorem triginta sex segmentis BCDF, aliud circulo BCD non esse majora
triginta sex segmenta BCDF. Illa adsumptiuncula vera est, haec falsa."[205]
Isaac Casaubon,[206] in one of his letters to De Thou,[207] relates that,
he and another paying a visit to Vieta, the conversation fell upon
Scaliger, of whom the host said that he believed Scaliger was the only man
who perfectly understood mathematical writers, especially the Greek ones:
and that he thought more of Scaliger when wrong than of many others when
right; "pluris se Scaligerum vel errantem facere quam multos [Greek:
katorthountas]."[208] This must have been before Scaliger's quadrature
(1594). There is an old story of some one saying, "Mallem cum Scaligero
errare, quam cum Clavio recte sapere."[209] This I cannot help suspecting
to have been a version of Vieta's speech with Clavius satirically inserted,
on account of the great hostility which Vieta showed towards Clavius in the
latter years of his life.
Public-domain text, read in full here on John Shaqi.
Reviews
Reviews
No reviews yet
Be the first to share your thoughts on this work.
Elsewhere in the archive
Join the Discussion
Join the discussion
Sign in to leave a comment or review.
Sign InorCreate an account