s work
appeared.

[57] Ludolphus Van Ceulen, born at Hildesheim, and died at Leyden in 1610.
It was he who first carried the computation of [pi] to 35 decimal places.

[58] Jens Jenssen Dodt, van Flensburg, a Dutch historian, who died in 1847.

[59] I do not know this edition. There was one "Antverpiae apud Petrum
Bellerum sub scuto Burgundiae," 4to, in 1591.

[60] Archytas of Tarentum (430-365 B.C.) who wrote on proportions,
irrationals, and the duplication of the cube.

[61]

_The Circle Speaks._
"At first a circle I was called,
And was a curve around about
Like lofty orbit of the sun
Or rainbow arch among the clouds.
A noble figure then was I--
And lacking nothing but a start,
And lacking nothing but an end.
But now unlovely do I seem
Polluted by some angles new.
This thing Archytas hath not done
Nor noble sire of Icarus
Nor son of thine, Iapetus.
What accident or god can then
Have quadrated mine area?"

_The Author Replies._
"By deepest mouth of Turia
And lake of limpid clearness, lies
A happy state not far removed
From old Saguntus; farther yet
A little way from Sucro town.
In this place doth a poet dwell,
Who oft the stars will closely scan,
And always for himself doth claim
What is denied to wiser men;--
An old man musing here and there
And oft forgetful of himself,
Not knowing how to rightly place
The compasses, nor draw a line,
As he doth of himself relate.
This craftsman fine, in sooth it is
Hath quadrated thine area."

[62] Pietro Bongo, or Petrus Bungus, was born at Bergamo, and died there in
1601. His work on the Mystery of Numbers is one of the most exhaustive and
erudite ones of the mystic writers. The first edition appeared at Bergamo
in 1583-84; the second, at Bergamo in 1584-85; the third, at Venice in
1585; the fourth, at Bergamo in 1590; and the fifth, which De Morgan calls
the second, in 1591. Other editions, before the Paris edition to which he
refers, appeared in 1599 and 1614; and the colophon of the Paris edition is
dated 1617. See the editor's _Rara Arithmetica_, pp. 380-383.

[63] William Warburton (1698-1779), Bishop of Gloucester, whose works got
him into numerous literary quarrels, being the subject of frequent satire.

[64] Thomas Galloway (1796-1851), who was professor of mathematics at
Sandhurst for a time, and was later the actuary of the Amicable Life
Assurance Company of London. In the lat