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
Any person who meddles with the circle may find himself the crane who was
netted among the geese: as Antipho for one, and Olivier de Serres[126] for
another. This last gentleman ascertained, by weighing, that the area of the
circle is very nearly that of the square on the side of the inscribed
equilateral triangle: which it is, as near as 3.162 ... to 3.141.... He did
not pretend to more than approximation; but Montucla and others
misunderstood him, and, still worse, misunderstood their own
misunderstanding, and made him say the circle was exactly double of the
equilateral triangle. He was let out of limbo by Lacroix, in a note to his
edition of Montucla's _History of Quadrature_.
ST. VITUS, PATRON OF CYCLOMETERS.
Quadratura del cerchio, trisezione dell' angulo, et duplicazione del
cubo, problemi geometricamente risolute e dimostrate dal Reverendo
Arciprete di San Vito D. Domenico Anghera,[127] Malta, 1854, 8vo.
{61}
Equazioni geometriche, estratte dalla lettera del Rev. Arciprete ... al
Professore Pullicino[128] sulla quadratura del cerchio. Milan, 1855 or
1856, 8vo.
Il Mediterraneo gazetta di Malta, 26 Decembre 1855, No. 909: also 911,
912, 913, 914, 936, 939.
The Malta Times, Tuesday, 9th June 1857.
Misura esatta del cerchio, dal Rev. D. Anghera. Malta, 1857, 12mo.
Quadrature of the circle ... by the Rev. D. Anghera, Archpriest of St.
Vito. Malta, 1858, 12mo.
I have looked for St. Vitus in catalogues of saints, but never found his
legend, though he figures as a day-mark in the oldest almanacs. He must be
properly accredited, since he was an archpriest. And I pronounce and
ordain, by right accruing from the trouble I have taken in this subject,
that he, St. Vitus, who leads his votaries a never-ending and unmeaning
dance, shall henceforth be held and taken to be the patron saint of the
circle-squarer. His day is the 15th of June, which is also that of St.
Modestus,[129] with whom the said circle-squarer often has nothing to do.
And he must not put himself under the first saint with a slantendicular
reference to the other, as is much to be feared was done by the Cardinal
who came to govern England with a title containing St. Pudentiana,[130] who
shares a day with _St. Dunstan_. The Archpriest of St. Vitus will have it
that the square inscribed in a semicircle is half of the semicircle, or the
circumference 3-1/5 diameters. He is active and able, with {62} nothing
wrong about him except his paradoxes. In the second tract named he has
given the testimonials of crowned heads and ministers, etc. as follows.
Louis-Napoleon gives thanks. The minister at Turin refers it to the Academy
of Sciences, and hopes so much labor will be judged _degna di pregio_.[131]
The Vice-Chancellor of Oxford--a blunt Englishman--begs to say that the
University has never proposed the problem, as some affirm. The Prince
Regent of Baden has received the work with lively interest. The Academy of
Public-domain text, read in full here on John Shaqi.
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