## The Collected Mathematical Papers of Arthur Cayley, Volume 6 |

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&-fold relation antipoints arbitrary axes axis bicircular quartic binode biplane branch centre circular coordinates circular cubic cnicnode coefficients coincident complete intersection cone conic conies considered contains coordinates corresponding covariant cubic curve cubic function cubic surface cusp cuspidal curve denote determined directrix double tangent edge equation expression fact factor facultative foci foregoing formula function given circles given curve given points Hence Hessian imaginary inflexion invariants line-pair linear locus m-fold nodal curve nodal line node obtained onefold relation orthotomic pair parameters pass pinch-point point-pair points at infinity points of contact quadric quadric surface quartic equation quintic reciprocal surface regard residual curve respectively satisfied scroll sextic singularities skew cubic spinode curve Supp tacnodal tangent plane tetrazomal theorem theory thereof three given torse touch transformation triangle united points v-zomal values whence writing zomal