446 
ME. A. CAYLEY’S MEMOIR ON CUEYES OE THE TRIED OEDEE. 
3. The envelope of a line which is the polar of a conjugate pole of the cubic, with 
respect to the conic which is the first or conic polar of the other conjugate pole in respect 
to any syzygetic cubic (see Nos. 2 and 9). 
4. The locus of the harmonic with respect to a pair of conjugate poles of the cubic of 
the third point of intersection with the Hessian of the line joining the two conjugate 
poles (see Nos. 2 and 17). 
5. The envelope of a line such that its lineo-polar envelope with respect to the cubic 
breaks up into a pair of lines (see No. 24). 
6. The envelope of a line which meets three conics, the first or conic polars of any 
three points in respect to the cubic, in six points in involution (see No. 22). 
7. The envelope of the second or line polar with respect to the cubic, of a point the 
locus of which is a certain curve of the sixth order in quadratic syzygy with the cubic 
and Hessian, viz. the curve — S.U^+(HU)^=0 (see No. 27). 
8. The envelope of a line having for its satellite point a point of the Hessian (see 
No. 35). 
9. The envelope of the polar of the satellite point with respect to the Hessian of the 
tangent at a point of the Hessian, with respect to the first or conic polar of the point of 
the Hessian in respect to the cubic (see No. 36). 
