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#bitangents_of_a_quartic

Bitangents of a quartic

28 lines which touch a general quartic plane curve in two places

In the theory of algebraic plane curves, a general quartic plane curve has 28 bitangent lines, lines that are tangent to the curve in two places. These lines exist in the complex projective plane, but it is possible to define quartic curves for which all 28 of these lines have real numbers as their coordinates and therefore belong to the Euclidean plane.

Sun 10th

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Bitangents of a quartic Bitangent Quartic plane curve List of curves topics Fano plane Theta characteristic Tangent lines to circles Del Pezzo surface Glossary of classical algebraic geometry Ternary quartic
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