In 1713, N. Bernoulli communicated his theorem to Montmort. The latter had time to insert it in his ''Essay d'analyse sur les jeux de hazard'' (1713) before J. Bernoulli's ''Ars conjectandi'' was published. (Jakob Bernoulli proved the first limit theorem of probability theory.) The author notes that Nicholas essentially improved some intermediate estimates made by Jakob and concludes that Nicholas' achievement forms the ''missing link'' between the results due to Jakob Bernoulli and De Moivre. In his preface to the Russian translation of part 4 of the ''Ars conjectandi'' (1913), A. A. Markov refused to recognize N. Bernoulli's theorem since the latter had introduced an arbitrary assumption in estimating the ratio of some terms of the binomial \((r+s)^ n\), r, s, and n integers. In turn, the author does not pay special attention to this assumption. While considering the accuracy of N. Bernoulli's theorem he restricts himself to adducing a numerical example. Finally, his account of the work of De Moivre on the subject is incomplete. One of my Russian articles which the author did not mention is partly devoted to the same theorem. This is ''On the history of the De Moivre-Laplace limit theorems.'' Istoria i metodologia estestvennick nauk, Vol. 9, 199-211 (1970).