This property is referred to as the "irrationality of dispersion."
The general test of irrationality which he established is that, if a l a, a, be an interminate continued fraction, a l, a2,
This is usually due to their irrationality and insecurity about their illness.
The great abstract ideas (considered directly and not merely in tacit use) which have dominated the science were due to them - namely, ratio, irrationality, continuity, the point, the straight line, the plane.
In 1761 he proved the irrationality of 7r; a simpler proof was given somewhat later by Legendre.