## 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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alfo Aliquot alſo becauſe Binomial Theorem cafe confequently confifting Conjectandi Cube cube-root cyphers demonftration divifion Divifors equation exponent expreffion exprefs faid feries fame number fecond near value fecond term feriefes feven feventh feveral fhall fides fifth root fign fignificant terms figurate numbers firft term firſt fixth fome foregoing table fourth fquare numbers fraction fubtracted fucceffive fuch funt fuppofe given number greater horizontal row increaſe inftead James Bernoulli laft term laſt lefs letters muft Multiplied muſt natural numbers Newton's method number of terms number of things odd numbers preceeding Prime Numbers propofed number quadratick quaternions quotient Raphfon's refolving refpectively row of terms ſaid ſeries ſhall Sir Ifaac Square table of combinations terms all equal thefe theſe third thofe thoſe true value uſe vertical column whofe whole numbers zazz