ique Quadraturae, Solutio, per Eucliden effecta, London_ (printed at
Southampton), 1847; _The Uptonian Trisection_, London, 1866; and _The
Circle Squared_, London, 1872.

[34] For example, if [theta] = 90 deg. we should have 3 cos 30 deg. = 1
+ [root](4 - sin^2 90 deg.), or 3. 1/2 [root]3 = 1 + [root]3, or
1/2 [root]3 = 1.

[35] Nathaniel Wallich (1786-1854) was surgeon at the Danish settlement at
Serampore when the East India Company took over the control in 1807. He
entered the British medical service and was invalided to England in 1828.
His _Plantae Asiaticae Rariores_ (3 vols., London, 1830-1832) was
recognized as a standard. He became vice-president of the Linnean Society,
F. R. S., and fellow of the Royal Asiatic Society.

[36] But if [theta] = 90 deg. this asserts that

cos 30 deg. = (sin 270 deg. . cos 225 deg. + sin^2 90 deg.
. sin 225 deg.) / [root](sin^2
270 deg. . cos^2 225 deg. + sin^{4} 90 deg. + sin 270 deg.
. sin 450 deg. . sin^2 90 deg.),

or that

1/2 [root]3 = (-1 . (-1 /[root]2) + 1 . (-1/[root]2) / [root]1
. 1/2 + 1 - 1 . 1 . 1) = 0 / [root](1/2),

so that De Morgan must have made some error in copying.

[37] John Bonnycastle (died in 1821) was professor of mathematics at
Woolwich. His edition of Bossut's _History of Mathematics_ (1803), and his
works on elementary mathematics were well known.

[38] The bibliographies give Husain Rifki as the translator, a practical
geometry as the work, and 1802 as the date.

[39] See Vol. I, page 309, note 2 {670}.

[40] Probably in _The Improvement of the Mind_ which Isaac Watts
(1674-1748) published in 1741. His _Horae Lyricae_ appeared in 1706, and
the _Hymns_, by which he is still well known, in 1707.

[41] Spencer Joshua Alwyne Compton, second Marquis of Northampton
(1790-1851), was a poet, a scientist, and a statesman. He was president of
the Royal Society from 1838 to 1849.

[42] Besides the writings here mentioned Perigal published a work on
_Geometric Maps_ (London, 1853), and _Graphic Demonstrations of Geometric
Problems_ (1891).

[43] See Vol. II, page 5, note 18.

[44] James Ferguson (1710-1776) was a portrait painter, an astronomer, and
a popular writer and lecturer on various subjects.

[45] In the old ballad of King Alfred and the Shepherd, when the latter is
tempting the disguised king into his service, he says:

"Of whig and whey we have good store,
And keep good pease-straw fire."

_Whig_ is the