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单词 Quadratrix of Hippias
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Quadratrix of Hippias

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Quadratrix of Hippias

quadratrix (red); snapshot of E and F having completed 60% of their motions
quadratrix as plane curve (a=1)
quadratrix as function (a=1)
quadratrix compass

The quadratrix or trisectrix of Hippias (also quadratrix of Dinostratos) is a curve, which is created by a uniform motion. It is one of the oldest examples for a kinematic curve, that is a curve created through motion. Its discovery is attributed to the Greek sophist Hippias of Elis, who used it around 420 BC in an attempt to solve the angle trisection problem (hence trisectrix). Later around 350 BC Dinostratus used it in an attempt to solve the problem of squaring the circle (hence quadratrix).

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更新时间:2025/6/19 12:09:10