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
Lee would have said, if alive, that I have put an _extreme case_: but any
_universal_ truth is true in its extreme cases. It is not fair to bring
forward an extreme case against a person who is speaking as of usual
occurrences: but it is quite fair when, as frequently happens, the proposer
insists upon a perfectly general acceptance of his assertion. And yet many
who go the whole hog protest against being tickled with the tail. Counsel
in court are good instances: they are paradoxers by trade. June 13, 1849,
at Hertford, there was an action about a ship, insured against a _total_
loss: some planks were saved, and the underwriters refused to pay. Mr. Z.
(for deft.) "There can be no degrees of totality; and some timbers were
saved."--L. C. B. "Then if the vessel were burned to the water's edge, and
some rope saved in the boat, there would be no total loss."--Mr. Z. "This
is putting a very extreme case."--L. C. B. "The argument {159} would go
that length." What would _Judge_ Z.--as he now is--say to the extreme case
beginning somewhere between six planks and a bit of rope?
MONTUCLA'S WORK ON THE QUADRATURE.
Histoire des recherches sur la quadrature du cercle ... avec une
addition concernant les problemes de la duplication du cube et de la
trisection de l'angle. Paris, 1754, 12mo. [By Montucla.]
This is _the_ history of the subject.[346] It was a little episode to the
great history of mathematics by Montucla, of which the first edition
appeared in 1758. There was much addition at the end of the fourth volume
of the second edition; this is clearly by Montucla, though the bulk of the
volume is put together, with help from Montucla's papers, by Lalande.[347]
There is also a second edition of the history of the quadrature, Paris,
1831, 8vo, edited, I think, by Lacroix; of which it is the great fault that
it makes hardly any use of the additional matter just mentioned.
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