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
Montucla says, speaking of France, that he finds three notions prevalent
among the cyclometers: (1) that there is a large reward offered for
success; (2) that the longitude problem depends on that success; (3) that
the solution is the great end and object of geometry. The same three {162}
notions are equally prevalent among the same class in England. No reward
has ever been offered by the government of either country. The longitude
problem in no way depends upon perfect solution; existing approximations
are sufficient to a point of accuracy far beyond what can be wanted.[355]
And geometry, content with what exists, has long passed on to other
matters. Sometimes a cyclometer persuades a skipper who has made land in
the wrong place that the astronomers are in fault, for using a wrong
measure of the circle; and the skipper thinks it a very comfortable
solution! And this is the utmost that the problem ever has to do with
longitude.
ANTINEWTONIANISMUS.
Antinewtonianismus.[356] By Caelestino Cominale,[357] M.D. Naples, 1754
and 1756, 2 vols. 4to.
The first volume upsets the theory of light; the second vacuum, vis
inertiae, gravitation, and attraction. I confess I never attempted these big
Latin volumes, numbering 450 closely-printed quarto pages. The man who
slays Newton in a pamphlet is the man for me. But I will lend them to
anybody who will give security, himself in L500, and two sureties in L250
each, that he will read them through, and give a full abstract; and I will
not exact security for their return. I have never seen any mention of this
book: it has a printer, but not a publisher, as happens with so many
unrecorded books.
{163}
OFFICIAL BLOW TO CIRCLE SQUARERS.
1755. The French Academy of Sciences came to the determination not to
examine any more quadratures or kindred problems. This was the consequence,
no doubt, of the publication of Montucla's book: the time was well chosen;
for that book was a full justification of the resolution. The Royal Society
followed the same course, I believe, a few years afterwards. When our Board
of Longitude was in existence, most of its time was consumed in listening
to schemes, many of which included the quadrature of the circle. It is
certain that many quadrators have imagined the longitude problem to be
connected with theirs: and no doubt the notion of a reward offered by
Government for a true quadrature is a result of the reward offered for the
longitude. Let it also be noted that this longitude reward was not a
premium upon excogitation of a mysterious difficulty. The legislature was
made to know that the rational hopes of the problem were centered in the
improvement of the lunar tables and the improvement of chronometers. To
these objects alone, and by name, the offer was directed: several persons
gained rewards for both; and the offer was finally repealed.
AN INTERESTING HOAX.
Public-domain text, read in full here on John Shaqi.
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