A Treatise of Algebra in three Parts... : I. the fundamental Rules and Operations : II. the Composition and Resolution of Equations of all Degrees and the different Affections of their Roots : [...]. London : printed for Nourse..., 1779

Content

- PDF Front cover
- PDF Title page
- PDF To his grace Thomas, lord archbishop of Canterbury, primate of all England: [...]
- PDF To the reader.
- PDF Contents.
- PDF Part I.
- PDF Chap. I. Definitions and illustrations.
- PDF Chap. II. Of addition.
- PDF Chap. III. Of subtraction.
- PDF Chap. IV. Of multiplication.
- PDF Chap. V. Of division.
- PDF Chap. VI. Of fractions.
- PDF Chap. VII. Of the involution of quantities.
- PDF Chap. VIII. Of evolution.
- PDF Chap. IX. Of proportion.
- PDF Chap. X. Of equations that involve only one unknown quantity.
- PDF Chap. XI. Of the solutions of questions that produce simple equations.
- PDF Chap. XII. Containing some general theorems for the exterminating unknown quantities in given equations.
- PDF Chap. XIII. Of quadratic equations.
- PDF Chap. XIV. Of surds.
- PDF A supplement to this chapter.
- PDF Part II. Of the genesis and resolution of equations of all degrees; and of the different affections of the roots.
- PDF Chap. I. Of the genesis and resolution of equations in general; and the number of roots an equation of any degree may have.
- PDF Chap. II. Of the signs and coefficients of equations.
- PDF Chap. III. Of the transformation of equations; and exterminating their intermediate terms.
- PDF Chap. IV. Of finding the roots of equations when two or more of the roots are equal to each other.
- PDF Chap. V. Of the limits of equations.
- PDF Chap. VI. Of the resolution of equations, all whose roots are commensurate.
- PDF Chap. VII. Of the resolutions of equations by finding the equations of a lower degree that are their divisors.
- PDF Supplement to chap. VII. Of the reduction of equations by surd divisors.
- PDF Chap. VIII. Of the resolution of equations by Cardan's rule, and others of that kind.
- PDF Chap. IX. Of the methods by which you may approximate to the roots of numeral equations by their limits.
- PDF Chap. X. Of the method of series by which you may approximate to the roots of literal equations.
- PDF Chap. XI. Of the rules for finding the number of impossible roots in an equation.
- PDF Chap. XII. Containing a general demonstration of Sir Isaac Newton's rule for finding the sums of the powers of the roots of an equation.
- PDF Part III. Of the application of algebra and geometry to each other.
- PDF Chap. I. Of the relation between the equations of curve lines and the figure of those curves, in general.
- PDF Chap. II. Of the construction of quadratic equations; and of the properties of the lines of the second order.
- PDF Chap. III. Of the construction of cubic and biquadratic equations.
- PDF Appendix: De linearum geometricarum proprietatibus generalibus tractatus.
- PDF Appendix: Being a treatise concerning the general properties of geometrical lines.
- PDF Back cover