--DE MORGAN, A. _Budget of Paradoxes (London, 1872), pp. 53-54._ =919.= Daniel Bernoulli used to tell two little adventures, which he said had given him more pleasure than all the other honours he had received. Travelling with a learned stranger, who, being pleased with his conversation, asked his name; “I am Daniel Bernoulli,” answered he with great modesty; “and I,” said the stranger (who thought he meant to laugh at him) “am Isaac Newton.” Another time, having to dine with the celebrated Koenig, the mathematician, who boasted, with some degree of self-complacency, of a difficult problem he had solved with much trouble, Bernoulli went on doing the honours of his table, and when they went to drink coffee he presented Koenig with a solution of the problem more elegant than his own. --HUTTON, CHARLES. _A Philosophical and Mathematical Dictionary (London, 1815), Vol. 1, p. 226._ =920.= Following the example of Archimedes who wished his tomb decorated with his most beautiful discovery in geometry and ordered it inscribed with a cylinder circumscribed by a sphere, James Bernoulli requested that his tomb be inscribed with his logarithmic spiral together with the words, “_Eadem mutata resurgo_,” a happy allusion to the hope of the Christians, which is in a way symbolized by the properties of that curve. --FONTENELLE. _Eloge de M. Bernoulli; Oeuvres de Fontenelle, t. 5 (1758), p. 112._ =921.= This formula [for computing Bernoulli’s numbers] was first given by James Bernoulli. He gave no general demonstration; but was quite aware of the importance of his theorem, for he boasts that by means of it he calculated _intra semi-quadrantem horae!_ the sum of the 10th powers of the first thousand integers, and found it to be 91,409,924,241,424,243,424,241,924,242,500. --CHRYSTAL, G. _Algebra, Part 2 (Edinburgh, 1879), p. 209._