Total differentiate
times with respect to
,
which will provide a linear equation in
.
Equate the projections of the
-
order derivative
,
,
of the two implicit surfaces onto
the unit normal vector (see (6.53)) to
obtain a linear equation in
.
The third linear equation in
can
be obtained from
, where
,
defined in (6.47), depends exclusively on
and
and their derivatives.
Solve the system of three linear equations for
,
,
.