An elementary treatise on cubic and quartic curves, by A. B. Basset.

CONTENTS.
CHAPTER I.
INTRODUCTION.
ART. PAGE
1. Definition of a quantic........ 1
2. Discriminants.......... 2
3. Eliminants........... 2
4. Discriminants of a binary quadric, cubic and quartic.. 3
5-6. Theorems relating to the roots of an equation... 3
7. Conditions that various equalities should exist between the
roots of cubic and quartic equations.... 4
8. Condition that the product of two of the roots of an equation
should be equal to -1....... 5
9. The Hessian of a quantic. Invariants and covariants.. 6
CHAPTER II.
THEORY OF CURVES.
10. General equation of a curve of the nth degree... 8
11. Two curves of the mth and nth degrees intersect in mn points. 8
12-13. Multiple points......... 9
14-16. Contact of two curves........ 10
17. Definition of tangency........ 10
18-19. Double points. Nodes and cusps... 11
20. Definitions of deficiency, the class of a curve, points of inflexion
and undulation, and multiple tangents.. 13
21. Definitions of autotomic, perigraphic, endodromic, exodromic and
mzultipartite curves....... 14
22. Conditions for a double point... 14
23-24. Polar curves.......... 16
25-28. Number of tangents that can be drawn to a curve.. 17