## A Method of Approximating Towards the Roots of Cubic Equations Belonging to the Irreducible Case |

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accuracy accurately equal adding 5 gives affirmative roots arithmetical progression br—a br=c chord consequently correct figures cotemporary equation cube number cube root cypher decimal decrease diagram discover the roots discovered value eleven figures equa equation a 3–br=c equation becomes equation br—wº equation tº equation wº—br=c fifth value figures are correct Find the root find the value form a br=c former equation fourth value Frend's Algebra given for solution greater than 6.75 hence high number irreducible JAMES LOCKHART last figure lesser root magnitude Maseres means method of approximation middle number numbers in arithmetical obtained operation present example Presuming these figures QUADRATIC EQUATIONS ratio reader real and affirmative remains rº–br=c Rule VII second fraction second value serieses shewn in Rule square root subtracting take r=v Tartaglia's rule third value three numbers three terms trial or conjecture unity value is correct value of º value of y whereof whole number