On 2 as a 16-ic Residue
Allan Cunningham · Proceedings of the London Mathematical Society · 1895
On 2 as a )6-ic Residue.85 36.Thus the nodal focal curves of the cyclide lie on three cubic cyclides.The equation of any one of these cubics may be written in the form < to?K*L 0 T r v? aa? rt i.e., 2--2 =0, A+ar, which may be written 2 ---j -= 0 ; L in which form it is evident that the cubic is confocal with the given cyclide [see T., § 259].37. Hence the locus of the nodal focal curves of a system of confocal cyclides consists of the three cubic cyclides of the system.Each cycJide has one focal curve on each of the cubics.It follows also that the nodal focal curves of either of the cubic cyclides are plane sections of the two confocal cubics.On 2 as a \Q-ic Residue.