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The pedal surfaces of \((1,2)\)-congruences with a one-parameter set of ellipses. (English) Zbl 0898.51015
In 3-dimensional space, among surfaces of the 4th order with a nodal line [see G. Salmon, ‘A treatise on the analytic geometry of three dimensions, Vol. II, Chelsea Publ. Co., New York (1965); see the 5th ed. (1915; JFM 45.0807.05)] those through the absolute conic form a special class which contains the pedal surfaces of \((1,2)\)-congruences. The author classifies one class of these surfaces with regard to the number and types of their real singular points.
51N20 Euclidean analytic geometry
53A05 Surfaces in Euclidean and related spaces
Full Text: EMIS EuDML