## The Doctrine of Permutations and Combinations, Being an Essential and Fundamental Part of the Doctrine of Chances;: As it is Delivered by Mr. James Bernoulli, in His Excellent Treatise on the Doctrine of Chances, Entituled, Ars Conjectandi, and by the Celebrated Dr. John Wallis, of Oxford, in a Tract Intituled from the Subject, and Published at the End of His Treatise on Algebra: in the Former of which Tracts is Contained, a Demonstration of Sir Isaac Newton's Famous Binomial Theorem, in the Cases of Integral Powers, and of the Reciprocals of Integral Powers. Together with Some Other Useful Mathematical Tracts |

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added Aggregate Aliquot alſo approximation becauſe beginning binomial quantity called caſe co-efficients combinations compound conſequently conſiſting contained continued Cube cube-root cyphers denoted derived divided Diviſors equal equation evident example exponent expreſs expreſſion extraction figurate numbers firſt firſt term five foregoing table former four fourth fraction given number greater horizontal row increaſe inſtead laſt term leſs letters manner means method Multiplied muſt natural numbers nearly number of things obtained permutations powers Prime proportion quantity quotient ratio reſpectively root ſaid ſame ſecond ſeries ſet ſeventh ſeveral ſhall ſides ſome Square ſquare numbers ſuch ſum ſuppoſe taken theſe third thoſe tion true value twelve twice unit uſe vertical column whole numbers