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
"By hypothesis [what, again!] let 14 deg. 24' be the chord of an arc of
15 deg. [but I wont, says 14 deg. 24'], and consequently equal to a side
of a regular polygon of 24 sides inscribed in the circle. Then 4 times
14 deg. 24' = 57 deg. 36' = the radius of the circle ..."
That is, four times the chord of an arc is the chord of four times the arc:
and the sum of four sides of a certain pentagon is equal to the fifth. This
is the capital of the column, the crown of the arch, the apex of the
pyramid, the watershed of the elevation. Oh! J. S.! J. S.! groans
Geometry--_Summum J. S. summa injuria_![271] The other J. S., Joseph
Scaliger,[272] as already mentioned, had his own way of denying that a
straight line is always the shortest distance between two points. A
parallel might be instituted, but not in half a column. And J. S. the
_second_ has been so tightly handled that he may now be dismissed, with an
inscription for his circular shield, obtained by changing _Lexica contexat_
into _Circus quadrandus_ in an epigram of J. S. the _first_:
"Si quem dura manet sententia judicis, olim
Damnatum aerumnis suppliciisque caput,
Hunc neque fabrili lassent ergastula massa,
Nec rigidas vexent fossa metalla manus.
Circus quadrandus: nam--caetera quid moror?--omnes
Poenarum facies hic labor unus habet."[273]
{155}
I had written as far as _damnatum_ when in came the letter of Nauticus as a
printed slip, with a request that I would consider the slip as a 'revised
copy.' Not a word of alteration in the part I have quoted! And in the
evening came a letter desiring that I would alter a gross error; but not
the one above: this is revising without revision! If there were cyclometers
enough of this stamp, they would, as cultivation progresses--and really,
with John Stuart Mill in for Westminster, it seems on the move, even
though, as I learn while correcting the proof, Gladstone be out from
Oxford; for Oxford is no worse than in 1829, while Westminster is far above
what she ever has been: election time excuses even such a parenthesis as
this--be engaged to amuse those who can afford it with paralogism at their
meals, after the manner of the other jokers who wore the caps and bells.
The rich would then order their dinners with _panem et Circenses_,--up with
the victuals and the circle-games--as the poor did in the days of old.
Public-domain text, read in full here on John Shaqi.
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