In the year 1716, Abraham de Moivre published his ""Doctrine of Chances"", in which the subject of Mathematical Probability took several long strides forward. A few years later came his ""Treatise of Annuities"". When the third (and final) edition of the Doctrine was published in 1756, it appeared in one volume together with a revised edition of the work on Annuities. It is this latter two-volumes-in-one that is presented here in an exact photographic reprint, with a series of problems of progressive interest, followed by full solutions and an afterword by H.M. Walker.
The introduction Solutions of several sorts of problems, deduced from the rules laid down in the introduction A treatise of annuities on lives: Part I. Containing the rules and examples Part II. Containing the demonstrations of some of the principal propositions in the foregoing treatise Explaining the rules of combined lives Containing the demonstration of the rules given in problems 4th and 5th, for determining the value of longest life Containing the demonstration of what has been said concerning reversions, and the value of one life after one or more lives Containing the demonstration of what has been asserted in the solution of the 10th and 29th problems Containing the demonstration of what has been said concerning successive lives in the solution of prob. XIII Containing the demonstration of what has been asserted in the 32d and 33d problems concerning half yearly payments As also the investigation of some theorems relating to that subject Containing the demonstration of what has been said concerning the probabilities of survivorship Serving to render the solutions in this treatise more general, and more correct Appendix Abraham de Moivre by Helen M. Walker.