368 
ON THE CLASSIFICATION OF CUBIC CURVES. 
[350 
Three osculating asymptotes, 
A xxxv 
© xxxvi 
Parabolic Hyperbolas : 
Ordinary asymptote and five-pointic parabola. 
asymptote cuts parabola 
does not cut „ 
touches „ 
XXXVII, XXXVIII, XXXIX, XL, XLI 
XLII 
XLIII, XLIV 
Osculating asymptote and six-pointic parabola. 
asymptote cuts parabola 
does not cut „ 
touches „ 
Hyperbolisms : 
Of hyperbola ; 
asymptote ordinary 
„ osculating 
Of ellipse ; 
asymptote ordinary 
„ osculating 
Of parabola ; 
asymptote ordinary 
„ osculating 
XLV 
XLVI 
XL VII 
XLVIII, XLIX 
L 
LI 
LII 
LIU 
LIV 
Divergent Parabolas: 
Semicubical Parabola lv 
Asymptotic ditto, seven-pointic. 
satellite line cuts semic. parab. lvi 
does not cut „ lvii 
touches (i.e. passes through the vertex of) lviii 
Asymptotic ditto, nine-pointic lix 
Trident Curve lx 
Cubical Parabola lxi 
As to the Theory of Groups. Article No. 50. 
50. It has been already remarked that the division into groups depends on the 
different positions of the satellite line in regard to the asymptotic aggregate, and that 
the investigation relates in a great measure to the discussion of the values of the