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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
Inhalt
- PDF [1]Vorderdeckel
- PDF [5]Titelblatt
- PDF [7]To his grace Thomas, lord archbishop of Canterbury, primate of all England: [...]
- PDF [9]To the reader.
- PDF [16]Contents.
- PDF 1 Part I.
- PDF 1 [19]Chap. I. Definitions and illustrations.
- PDF 8 [26]Chap. II. Of addition.
- PDF 11 [29]Chap. III. Of subtraction.
- PDF 12 [30]Chap. IV. Of multiplication.
- PDF 17 [35]Chap. V. Of division.
- PDF 24 [42]Chap. VI. Of fractions.
- PDF 34 [52]Chap. VII. Of the involution of quantities.
- PDF 42 [60]Chap. VIII. Of evolution.
- PDF 54 [72]Chap. IX. Of proportion.
- PDF 61 [79]Chap. X. Of equations that involve only one unknown quantity.
- PDF 68 [86]Chap. XI. Of the solutions of questions that produce simple equations.
- PDF 81 [99]Chap. XII. Containing some general theorems for the exterminating unknown quantities in given equations.
- PDF 85 [103]Chap. XIII. Of quadratic equations.
- PDF 94 [112]Chap. XIV. Of surds.
- PDF 127 [145]A supplement to this chapter.
- PDF 131 Part II. Of the genesis and resolution of equations of all degrees; and of the different affections of the roots.
- PDF 131 [149]Chap. I. Of the genesis and resolution of equations in general; and the number of roots an equation of any degree may have.
- PDF 139 [157]Chap. II. Of the signs and coefficients of equations.
- PDF 148 [166]Chap. III. Of the transformation of equations; and exterminating their intermediate terms.
- PDF 162 [180]Chap. IV. Of finding the roots of equations when two or more of the roots are equal to each other.
- PDF 170 [188]Chap. V. Of the limits of equations.
- PDF 186 [204]Chap. VI. Of the resolution of equations, all whose roots are commensurate.
- PDF 197 [215]Chap. VII. Of the resolutions of equations by finding the equations of a lower degree that are their divisors.
- PDF 213 [231]Supplement to chap. VII. Of the reduction of equations by surd divisors.
- PDF 222 [240]Chap. VIII. Of the resolution of equations by Cardan's rule, and others of that kind.
- PDF 230 [248]Chap. IX. Of the methods by which you may approximate to the roots of numeral equations by their limits.
- PDF 243 [261]Chap. X. Of the method of series by which you may approximate to the roots of literal equations.
- PDF 274 [292]Chap. XI. Of the rules for finding the number of impossible roots in an equation.
- PDF 285 [303]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 296 Part III. Of the application of algebra and geometry to each other.
- PDF 296 [314]Chap. I. Of the relation between the equations of curve lines and the figure of those curves, in general.
- PDF 324 [342]Chap. II. Of the construction of quadratic equations; and of the properties of the lines of the second order.
- PDF 351 [369]Chap. III. Of the construction of cubic and biquadratic equations.
- PDF 367 [385]Appendix: De linearum geometricarum proprietatibus generalibus tractatus.
- PDF 433 [453]Appendix: Being a treatise concerning the general properties of geometrical lines.
- PDF [539]Rückdeckel