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.

Table of Contents

• The introduction
• Solutions of several sorts of problems, deduced from the rules laid down in the introduction

• 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