Abstract

Algebraic surfaces of fourth order containing three double lines with a common point are called Steiner-surfaces. These surfaces ψ contain a two-parameter set of conics lying in the tangent planes of ψ. According to WUNDERLICH [17] a Steiner-surface can be generated by translation of a parabola along a parabola if and only if two or three of the double lines coincide. If such a special double line, the tangent plane along it und the singular point lying on it are choosen to represent the absolute line, plane and point respectivly of a flag space F3, the conies of ψ are circles in the sense of F3. An infinite set of oneparameter motions generating ψ as path of a circle is given. Among these motions exist Darboux-motions, whereby the points move along congruent circles.

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