On some geometric properties and applications of conformal rational transformations in a plane (1912)
Renich, Mary Emma · leaf 86
ite. Equation (4)represents a circular serpentine with one infinite double point,Pig. XIII. (5) is the equation of a degenerate cubic consisting 38. of a straight line, the x - axis, and a circle with Z = 1 ascenter. The circle passes thr<vu the circular points at infinity.Since there are 4… … Pig XIII. Invariant points:- To obtain the invariant points Then, the described in Art. VI,place z = a 2 * ~@ rz2 + h z +■€ double points are the roots of the equation>fz3 + S z2 - a z + -6 z - /3 - 0. (6) Substituting the values of the complex numbers in (6), (a2 + i b2)(x + iy)3 + (a3 + ib3)(x…
