Circumscribe

Pronunciation: /ˈsɜr kəmˌskraɪb/ ?

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Manipulative 1: Circumscribed Triangle. Created with GeoGebra.

To circumscribe is to draw a circle around a 2-dimensional object or a sphere around a 3-dimensional object that intersects all the vertices of the figure, but does not intersect any side.[1] A geometric figure is circumscribable if a circle can be drawn that intersects all the vertices of the figure, but not does not intersect any side.
See Circumscribing a Circle About a Triangle.

To inscribe is to draw a circle or sphere that is completely inside another figure that intersects each side of the figure exactly once.[2]
See Inscribing a Circle in a Triangle. A geometric figure is inscribable if a circle can be drawn that intersects each side exactly once.

To use the manipulatives, click on the blue points and drag them. This will change the figures.

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Manipulative 2: Inscribed Triangle. Created with GeoGebra.

How To

How to circumscribe a triangle with a circle.
How to circumscribe a rectangle with a circle.
How to inscribe a circle in a triangle.

References

  1. circumscribe. http://wordnet.princeton.edu/. WordNet. Princeton University. (Accessed: 2011-01-08). http://wordnetweb.princeton.edu/perl/webwn?s=circumscribe&sub=Search+WordNet&o2=&o0=1&o7=&o5=&o1=1&o6=&o4=&o3=&h=.
  2. inscribe. http://wordnet.princeton.edu/. WordNet. Princeton University. (Accessed: 2011-01-08). http://wordnetweb.princeton.edu/perl/webwn?s=circumscribe&sub=Search+WordNet&o2=&o0=1&o7=&o5=&o1=1&o6=&o4=&o3=&h=.
  3. Sampson, Charles H.. Mechanical Drawing and Practical Drafting, pg 10. Milton Bradley Company, 1920. (Accessed: 2010-01-11). http://www.archive.org/stream/mechanicaldrawin00samprich#page/10/mode/1up/search/circumscribe.

Cite this article as:


Circumscribe. 2010-01-04. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/c/circumscribe.html.

Translations

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Revision History


2010-01-11: Added "References" (McAdams, David.)
2008-11-27: Added definitions for circumscribable and inscribable (McAdams, David.)
2008-07-01: Changed figures to use GeoGebra. Added "how to" (McAdams, David.)
2008-06-07: Corrected spelling (McAdams, David.)
2008-04-23: Initial version (McAdams, David.)

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