fer everything else to it," as it is often
translated.
[610] A writer of no reputation.
[611] Sir John Lubbock (1803-1865), banker, scientist, publicist,
astronomer, one of the versatile men of his time.
[612] See note 165, page 99.
[613] "Those about to die salute you."
[614] Georges Louis Leclerc Buffon (1707-1788), the well-known biologist.
He also experimented with burning mirrors, his results appearing in his
_Invention des miroirs ardens pour bruler a une grande distance_ (1747).
The reference here may be to his _Resolution des problemes qui regardent le
jeu du franc carreau_ (1733). The prominence of his _Histoire naturelle_
(36 volumes, 1749-1788) has overshadowed the credit due to him for his
translation of Newton's work on Fluxions.
[615] See page 285. This article was a supplement to No. 14 in the
_Athenaeum_ Budget.--A. De M.
[616] There are many similar series and products. Among the more
interesting are the following:
[pi] 2.2.4.4.6.6.8...
---- = ----------------,
2 1.3.3.5.5.7.7...
[pi]-3 = 1 1 1
------ = ----- - ----- + ----- - ...,
4 2.3.4 4.5.6 6.7.8
[pi] 1 1 1 1 1
---- = sqrt - . (1 - --- + ----- - ----- + ----- - ...),
6 3 3.3 3^2.5 3^3.7 3^4.9
[pi] 1 1 1 1
---- = 4 ( - - ----- + ----- - ----- + ...)
4 5 3.5^3 5.5^5 7.5^7
1 1 1
- ( --- - ------- + ------- - ...).
239 3.239^3 5.239^5
[617] "To a privateer, a privateer and a half."
[618] Joshua Milne (1776-1851) was actuary of the Sun Life Assurance
Society. He wrote _A Treatise on the Valuation of Annuities and Assurances
on Lives and Survivorships; on the Construction of tables of mortality; and
on the Probabilities and Expectations of Life_, London, 1815. Upon the
basis of the Carlisle bills of mortality of Dr. Heysham he reconstructed
the mortality tables then in use and which were based upon the Northampton
table of Dr. Price. His work revolutionized the actuarial science of the
time. In later years he devoted his attention to natural history.
[619] See note 576, page 252. He also wrote the _Theory of Parallels. The
proof of Euclid's axiom looked for in the properties of the equiangular
spiral_ (London, 1840), which went through four editions, and the _Theory
of Parallels. The proof that the three angles of a
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