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

XV1 CONTENTS.
ART. PAGE
347. The tractrix or tractory....... 230
348. The elastica and lintearia. Roulette of the centre of a rectangular hyperbola which rolls on a straight line is an elastica 230
349. The equiangular spiral....... 231
350. The spiral of Archimedes. The hyperbolic spiral. The lituus 232
CHAPTER XII.
THEORY OF PROJECTION.
351. General theory of projection... 233
352. A projection introduces five independent constants.. 234
353. Projection of a triangle.... 235
354. Formulae for projection........ 236
355. Any two real points can be projected into the circular points. 237
356. Metric and descriptive properties of curves. 238
357. Anharmonic properties unaltered by projection... 238
358. Partivity of a curve cannot exceed its degree... 238
359. Advantages of projection..... 239
360-361. Nodal and cuspidal cubics can be projected into the
logocyclic curve and cissoid respectively.... 239
362. Some projective properties of nodal cubics.. 240
363. Projection of an anautotomic cubic into a circular cubic. 240
364. Equation of cubic when the circular points are points of inflexion 241
365. Elliptic, parabolic and hyperbolic points at infinity.. 241
366. Projection of a tricuspidal quartic into a three-cusped hypocycloid or a cardioid....... 242
367. Projective properties of tricuspidal quartics.. 242
368. Projection of a quartic having a node and a pair of cusps into a
limagon........... 243
369. Harmonic properties of the nodal tangents.. 243
370. Projective properties of quartics of the ninth species.. 244
371. Projection of a quartic having three biflecnodes into the lemniscate of Bernoulli..... 245
372. Properties of such quartics can be deduced from those of the
four-cusped hypocycloid or the evolute of an ellipse.. 245
373-377. Simple forms of quartics having certain given singularities 246
378. Geometrical interpretation of the general expression for a
ternary quartic......... 247
379. On a special quartic....... 248
380-381. Discussion of the quartic a3/ +/3y7 +3a=0... 248
382. Generalization of the results by projection.... 251
ADDENDA AND CORRIGENDA.
I. Addition to ~~ 27-28........ 253
II. The Cayleyan of a nodal cubic is a conic.... 253
III. The six stationary tangents of a trinodal quartic touch a conic. 254
IV. Famous problems of antiquity....... 255