1668. In this year James Gregory, in his _Vera Circuli et Hyperbolae Quadratura_,[231] held himself to have proved that {119} the _geometrical_ quadrature of the circle is impossible. Few mathematicians read this very abstruse speculation, and opinion is somewhat divided. The regular circle-squarers attempt the _arithmetical_ quadrature, which has long been proved to be impossible. Very few attempt the geometrical quadrature. One of the last is Malacarne, an Italian, who published his _Solution Geometrique_, at Paris, in 1825. His method would make the circumference less than three times the diameter.
JAMES GREGORY.
From A Budget of Paradoxes, Volume I by Augustus De Morgan.
