## 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 alfo approximation becauſe beginning binomial quantity cafe called co-efficients combinations compound confequently confifting contained continued Cube cube-root cyphers denoted divided Divifors equal equation evident example exponent expreffion exprefs extraction faid fame fecond feries feveral fhall fides figurate numbers figures firft firſt five fixth fome foregoing foregoing table former four fourth fquare numbers fraction fuch funt fuppofe given number greater horizontal row inftead laft laſt lefs less letters manner means method Multiplied muſt natural numbers number of things obtained permutations powers Prime propofed proportion quantity quotient ratio refpectively root ſhall Square taken thefe theſe third thofe tion true value twelve twice unit vertical column whole numbers