A person who devotes himself to attempts to solve ono of the two impossible problems of squaring the circle, namely: 1st, by means of a ruler and compasses only to construct a square of the same area as a given circle; 2d, to state in exact arithmetical terms the ratio of the circumference to the diameter.
from The Century Dictionary and Cyclopedia
This circle-squarer selected 3.125 as the value for "_pi_," and Mr. Hagger, who was fired with Mr. Dodgson's ambition to convince his correspondent of his error, failed as signally as Mr. Dodgson did.
Mr. Dodgson's method involved a slight knowledge of trigonometry, and he had reason to suspect that Mr. B-- was entirely ignorant of that subject, he thought it worth while to put him to the test by asking him a few questions upon it, but the circle-squarer, with commendable prudence, declined to discuss anything not Euclidean.
"Lucas," the circle-squarer, who explains how, when he was in a room with a lady and her two daughters, he perceived that "this was all that was necessary for him to attain the cubation of two pyramids," is very choice.
 This Locke must not be confounded with Richard Lock, the circle-squarer and general paradoxist, who flourished a century earlier.
'I thought it very strange,' wrote a circle-squarer once to De Morgan