A Budget of Paradoxes, Volume IIDe Morgan, Augustus
Philosophy
A Budget of Paradoxes, Volume II
De Morgan, Augustus
Circle-squaring; Perpetual motion; Science -- Miscellanea; Trisection of angle
If there be one thing more prominent than another in the work of Copernicus
himself, in the popular explanations of it, and in the page of
Delambre[288] cited, it is that the _parallelism of the earth's axis_ is a
glaring part of the {166} theory of Copernicus. What Kepler[289] did was to
throw away, as unnecessary, the method by which Copernicus, _per fas et
nefas_,[290] secured it. Copernicus, thinking of the earth's orbital
revolution as those would think who were accustomed to the _solid
orbs_--and much as the stoppers of the moon's rotation do now: why do they
not strengthen themselves with Copernicus?--thought that the earth's axis
would always incline the same end towards the sun, unless measures were
taken to prevent it. He _did_ take measures: he invented a _compensating_
conical motion of the axis to preserve the parallelism; and, which is one
of the most remarkable points of his system, he obtained the precession of
the equinoxes by giving the necessary trifle more than compensation. What
stares us in the face at the beginning of the paragraph to which the author
refers?
"C'est donc pour arriver a ce parallelisme, ou pour le conserver, que
Copernic a cru devoir recourir a ce mouvement egal et oppose qui detruit
l'effet qu'il attribue si gratuitement au premier, de deranger le
parallelisme."[291]
Parallelism at any price, is the motto of Copernicus: you need not pay so
dear, is the remark of Kepler.
The opinions given by Sir G. Lewis about the effects of modern astronomy,
which he does not understand and singularly undervalues, will now be seen
to be of no authority. He fancies that--to give an instance--for the
determination of a ship's place, the invention of chronometers has been far
more important than any improvement in astronomical theory (p. 254). Not to
speak of latitude,--though the omission is not without importance,--he
ought to have known that longitude is found by the difference between what
o'clock it is at Greenwich and at the ship's place, at {167} one absolute
moment of time. Now if a chronometer were quite perfect--which no
chronometer is, be it said--and would truly tell Greenwich mean time all
over the world, it ought to have been clear that just as good a watch is
wanted for the time at _the place of observation_, before the longitude of
that place with respect to Greenwich can be found. There is no such watch,
except the starry heaven itself: and that watch can only be read by
astronomical observation, aided by the best knowledge of the heavenly
motions.
I think I have done Sir G. Lewis's very excellent book more good than all
the reviewers put together.
Public-domain text, read in full here on John Shaqi.
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