Arithmetica Universalis
But where some of the Roots are impossible, the Rule is of no Force; unless as far as those impossible Roots, which are neither negative nor affirmative, may be taken for ambiguous ones. Thus in the Equation x + pxx + 3ppx − q = 0; the Signs shew that there is one affirmative Root and two negative ones. Suppose x = 2p, or x − 2p = 0; and multiply the former Equation by this, x − 2p = 0, that one affirmative Root more may be added to former; and you will have this Equation,
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Part I Notation (記法) - I. Addition (加法) - XVIII. Subtraction (減法) - XXV. Multiplication (乗法) - XXVIII. Division (除法) - XXXIV. Extraction of Roots (開法) - XLI. Reduction of Fractions (約分) - XLVIII. Invention of Divisors (約数) - XLIX. Reduction of Fractions to a common Denominator (通分) - LIX. Reduction of Radical Quantities (冪根の簡約化) - LX. to their least Terms - LX. to the same Denominator - LXI. to more simple Radicals, by the Extraction of Roots - LXII. Forms of Equations - LXV. Reduction of Final Equations - LXVII. ordering a Single or Final Equation - LXVII.