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词条 Mukhopadhyaya theorem
释义

  1. References

In geometry Mukhopadhyaya's theorem may refer to one of several closely related theorems about the number of vertices of a curve due to {{harvs|txt|last=Mukhopadhyaya|authorlink=Mukhopadhyaya|year=1909}}. One version, called the Four-vertex theorem, states that a simple convex curve in the plane has at least 4 vertices, and another version states that a simple convex curve in the affine plane has at least 6 affine vertices.

References

  • {{Citation | last1=Mukhopadhyaya | first1=Syamadas | title=New Methods in the Geometry of a Plane Arc.-I Cyclic and Sextactic Points | url=http://bulletin.calmathsoc.org/article.php?ID=B.1909.1.2 | year=1909 | journal=Bulletin of Calcutta Mathematical Society | volume=1 | issue=1 | pages=31–37}}
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1 : Theorems in geometry

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