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Linear congruence with imaginary axes

Фото Korotku Wiktor Anatoliewith

Аbstract

The problem of constructing an elliptic linear congruence given by four crossed lines is solved. An algorithm is proposed for the transition from a congruence given by four skew lines to an identical congruence given by two collinear fields. An example of distinguishing a fourth-order ruled algebraic surface from an elliptic linear congruence is considered.

Keywords: Elliptic linear congruence, imaginary conjugate guides, elliptic involution, collinear fields.