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

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apply arbitrary assume axis becomes biplane branch centre character circle coefficients coincident common complete complete intersection conic considered contains coordinates corresponding course cubic cubic surface cusp cuspidal curve denote determined double edge equal equation expressions fact factor foci follows foregoing formulæ four function given curve given points gives Hence intersection k-fold linear locus means meet Memoir multiplying nodal curve node observed obtained once original pair parameters particular pass plane points positive present proper quartic question rays reciprocal reciprocal surface reduced referred regard region relation remaining remark represented respectively roots satisfied scroll single singularities solution spinode curve substituting Supp surface Table taken taking tangent tangent plane theorem theory thing touch transformation twice values whence writing written