PlanetMath: circumscribe

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circumscribe

(Definition)

To circumscribe a regular polygon (such as a triangle, square, pentagon, etc.) or a cyclic quadrilateral, is to enclose it in a circle so that the vertices of the polygon are on the circumference of the circle.

For example, a circumscribed square:

$\begin{pspicture}(-3,-3)(3,3) \pscircle(0,0){2.13} \pspolygon(1.5,1.5)(-1.5,1.5)(-1.5,-1.5)(1.5,-1.5) \end{pspicture}$

One more example, a circumscribed pentagon.

$\begin{pspicture}(-2,-2)(2,2) \pscircle(0,0){1.702} \pspolygon(0,1.702)(-1.619,0.526)(-1,-1.377)(1,-1.377)(1.619,0.526) \end{pspicture}$

"circumscribe" is owned by PrimeFan. [ full author list (2) | owner history (1) ]

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Other names:

circumscribed, circumscription

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Cross-references: circumference, polygon, vertices, circle, cyclic quadrilateral, pentagon, square, triangle, regular polygon
There are 12 references to this entry.

This is version 8 of circumscribe, born on 2006-11-15, modified 2007-08-02.
Object id is 8557, canonical name is Circumscribe.
Accessed 2500 times total.

Classification:

AMS MSC:

51D20 (Geometry :: Geometric closure systems :: Combinatorial geometries)

Pending Errata and Addenda

None.[ View all 5 ]

Discussion

forum policy

Brand-new graphics problems by PrimeFan on 2007-06-07 19:29:34

I thought that what worked for my moving average entry would work here, too. Now, instead of a picture of a circumscribed triangle, I'm getting some weird images of text.

[ reply | up ]

Re: Brand-new graphics problems by Wkbj79 on 2007-06-07 20:26:18
- Re: Brand-new graphics problems by PrimeFan on 2007-06-07 20:31:47
  - Re: Brand-new graphics problems by rm50 on 2007-06-07 20:41:04
    - Re: Brand-new graphics problems by PrimeFan on 2007-06-07 20:44:44
      - Re: Brand-new graphics problems by rm50 on 2007-06-07 20:46:21
        
        Re: Brand-new graphics problems by PrimeFan on 2007-06-07 20:49:09
        Re: Brand-new graphics problems by Wkbj79 on 2007-06-07 20:53:05
        
        Re: Brand-new graphics problems by rm50 on 2007-06-07 21:35:44
        
        Re: Brand-new graphics problems by PrimeFan on 2007-06-08 18:54:42
        
        Re: Brand-new graphics problems by Wkbj79 on 2007-06-09 00:28:46

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