"In June 1696 Bernoulli addressed a letter to the mathematicians of Europe challenging them to solve two problems concerning curves. Several people including Leibniz sent solutions. Whose solution was submitted anonymously but was recognized by Bernoulli with the words ""tanquam ex ungue leonem"" (we know the lion by his claw)?"
Daniel Bernoulli Analytique" in being arranged so that all the results are consequences of a single principle, namely, conservation of energy. This was followed by a memoir on the theory of the tides, to which, conjointly with the memoirs by Euler and Colin Maclaurin, a prize was awarded by the French Academy: these three memoirs contain all that was done on this subject between the publication of Isaac Newton's "Philosophiae Naturalis Principia Mathematica" and the investigations of Pierre-Simon Laplace. Bernoulli also wrote a large number of papers on various mechanical questions, especially on problems connected with vibrating strings, and the solutions given
Later life of Isaac Newton cut off three or more segments having similar properties. Solutions were also obtained from Leibniz and the Marquis de l'Hôpital; and, although Newton's solution was anonymous, he was recognized by Bernoulli as its author; ""tanquam ex ungue leonem"" (we recognize the lion by his claw). In 1699 Newton's position as a mathematician and natural philosopher was recognized by the French Academy of Sciences. In that year the Academy was remodelled, and eight foreign associates were created. Leibniz, Domenico Guglielmini (1655—1710), Hartsoeker, and E. W. Tschirnhaus were appointed on 4 February, James Bernoulli and John Bernoulli on 14 February, and Newton