Bernouilli

Family of Swi mathematicians.-JACQUES, 1654-1705, prof. Basel 1687, invented the logarithmic logarithmic spiral and investigated the curve called Figure of Eight or Lemniscate of B. Works, 2 vols., 1744.—His brother JEAN, 1667-1748, prof. at Groningen 1695-1705, and then at Basel, began discu ion of the exponential calculus and of analytical trigonometry, first denoted the accelerating influence of gravity by a distinct symbol, and used the notation 4 x for a function of x. He was a very able teacher, constantly in controversies. Of his sons, NICOLAS, 1695-1726, was prof. at St. Petersburg; DANIEL, 1700-1782, prof. at Basel from 1733, gained ten prizes of the French Academy for discoveries in math, and physics; JEAN, 1710–1790, was prof. at Basel 1748, and had two sons, JEAN (3d), 1744-1807, astronomer royal and director of math, studies at Berlin, and JACQUES, 1758-1789, prof. at Basel, Verona, and St. Petersburg. Another NICOLAS, 1687-1759, nephew and cousin of the above, was prof. at Padua. IMG:content-0502.png:[blocks in formation]