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
Johann Ludwig, Baron von Wolzogen, seems to have been one of the early
unitarians, called _Fratres Polonorum_ because they took refuge in Poland.
Some of his works appear in the _Bibliotheca Fratrum Polonorum_ (Amsterdam,
1656). I find no one by the name who was contributing to mathematics at
this time.
Descartes is too well known to need mention in this connection.
Bonaventura Cavalieri (1598-1647) was a Jesuit, a pupil of Galileo, and
professor of mathematics at Bologna. His greatest work, _Geometria
indivisibilibus continuorum nova quadam ratione promota_, in which he makes
a noteworthy step towards the calculus, appeared in 1635.
Jacob (Jacques) Golius was born at the Hague in 1596 and died at Leyden in
1667. His travels in Morocco and Asia Minor (1622-1629) gave him such
knowledge of Arabic that he became professor of that language at Leyden.
After Snell's death he became professor of mathematics there. He translated
Arabic works on mathematics and astronomy into Latin.
[189] It would be interesting to follow up these rumors, beginning perhaps
with the tomb of Archimedes. The Ludolph van Ceulen story is very likely a
myth. The one about Fagnano may be such. The Bernoulli tomb does have the
spiral, however (such as it is), as any one may see in the cloisters at
Basel to-day.
[190] Collins (1625-1683) was secretary of the Royal Society, and was "a
kind of register of all new improvements in mathematics." His office
brought him into correspondence with all of the English scientists, and he
was influential in the publication of various important works, including
Branker's translation of the algebra by Rhonius, with notes by Pell, which
was the first work to contain the present English-American symbol of
division. He also helped in the publication of editions of Archimedes and
Apollonius, of Kersey's Algebra, and of the works of Wallis. His profession
was that of accountant and civil engineer, and he wrote three unimportant
works on mathematics (one published posthumously, and the others in 1652
and 1658).
Heinrich Christian Schumacher (1780-1850) was professor of astronomy at
Copenhagen and director of the observatory at Altona. His translation of
Carnot's _Geometrie de position_ (1807) brought him into personal relations
with Gauss, and the friendship was helpful to Schumacher. He was a member
of many learned societies and had a large circle of acquaintances. He
published numerous monographs and works on astronomy.
Gassendi (1592-1655) might well have been included by De Morgan in the
group, since he knew and was a friend of most of the important
mathematicians of his day. Like Mersenne, he was a minorite, but he was a
friend of Galileo and Kepler, and wrote a work under the title _Institutio
astronomica, juxta hypotheses Copernici, Tychonis-Brahaei et Ptolemaei_
(1645). He taught philosophy at Aix, and was later professor of mathematics
at the College Royal at Paris.
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