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6 Classification of Surfaces 111
A
0.8
0.6
E
u
0.4
0.2
B
0
0.65 0.7 0.75 0.8 0.85 0.9 0.95 1
t
Fig. 6.2. The double locus C(t, u) in the space of parameters.
M
P
Fig. 6.3. The surface S with (t =0.6632643380..1,u =0.1..0.9).
We have that the critical point E is on the segment (AB) of the curve C(t, u) and
Φ(A)= Φ(B)= M. The images of the segments (BE) and (AE) of C(t, u) by Φ
