Hesse configuration (original) (raw)

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dbo:abstract In geometry, the Hesse configuration, introduced by Colin Maclaurin and studied by Hesse, is a configuration of 9 points and 12 lines with three points per line and four lines through each point. It can be realized in the complex projective plane as the set of inflection points of an elliptic curve, but it has no realization in the Euclidean plane. (en) Конфигурация Гессе — конфигурация 9 точек и 12 прямых с тремя точками на каждой прямой и с четырьмя прямыми, проходящих через каждую точку.Её рассматривал Колин Маклорен и изучал Отто Гессе (1844),Конфигурация реализуема в комплексной проективной плоскости как множество точек перегиба эллиптической кривой, но не существует реализации на евклидовой плоскости. (ru)
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rdfs:comment In geometry, the Hesse configuration, introduced by Colin Maclaurin and studied by Hesse, is a configuration of 9 points and 12 lines with three points per line and four lines through each point. It can be realized in the complex projective plane as the set of inflection points of an elliptic curve, but it has no realization in the Euclidean plane. (en) Конфигурация Гессе — конфигурация 9 точек и 12 прямых с тремя точками на каждой прямой и с четырьмя прямыми, проходящих через каждую точку.Её рассматривал Колин Маклорен и изучал Отто Гессе (1844),Конфигурация реализуема в комплексной проективной плоскости как множество точек перегиба эллиптической кривой, но не существует реализации на евклидовой плоскости. (ru)
rdfs:label Hesse configuration (en) Конфигурация Гессе (ru)
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