## 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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Aliquot binomial quantity Binomial Theorem cafe column of terms compound quantity consequently Coroll Cube cube-root cyphers denoted divided exponent expression fame number fifth power fifth root figurate numbers following terms foregoing table former fourth fraction given number greater horizontal row Isaac Newton James Bernoulli Lagny last term lemma less letters Multiplied natural numbers Newton's method Number of Divisors number of permutations number of terms number of things numeral co-efficients numerorum obtained odd numbers preceeding Prime Numbers proposed number quadratick equation quĉ quaternions quotient Raphson's ratio right-angled triangle row of terms SCHOLIUM second near value second term seriei sides significant terms sixth square numbers subtracted summĉ table of combinations termini terminorum terms all equal Theorem things exposed third three numbers tion Tract true value vertical column virgo whole numbers