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

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CONTENTS.

ART.
141-142. The cissoid of Diocles
143. The duplication of the cube
144. Tangents to a cissoid
145. Tangential equation of a cissoid
146-147. Foci of circular cubics
148. Inversion of nodal circular cubics
149-150. The semicubical parabola
151. The cubical parabola
152. The folium of Descartes
153. The witch of Agnesi.

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CHAPTER VII.
CURVES OF THE THIRD CLASS.
154. Classification of curves of the third class
155-156. Properties of curves of the third class
157. Orthoptic loci....

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CHAPTER VIII.
QUARTIC CURVES.
158. Classification of quartic curves.
159. Triple points....
160. Definition of simple and compound singularities
161. Tacnodes.....
162. Rhamphoid cusps....
163. Oscnodes.....
164. Tacnode cusps.....
165. Trilinear equations of a quartic having any of the four preceding singularities...
166. Flecnodes and biflecnodes....
167. Points of undulation....
168. Properties of flecnodes and biflecnodes..
169. A quartic cannot have more than two flecnodes
170. Quartics with three biflecnodes..
171-175. Harmonic properties of biflecnodes...
176. Points of inflexion....
177. A quartic cannot have more than eight real points of inflexion.
178. A tangent having a contact of the rth order is equivalent to
r-1 stationary tangents
179. Pliicker's form of the equation of a quartic.

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