##  [Poncelet Porism](/poncelet-porism) 

  ##  [Poncelet Porism](https://puremath.quantumdictionary.io/poncelet-porism-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A poristic statement about consecutive tangent and inscribed polygons: if there exists a closed n-gon that is simultaneously inscribed in one conic and circumscribed about another, then for that fixed pair of conics and that n the construction closes for every choice of initial vertex on the inner conic — so a one-parameter family of such n-gons exists.