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Difference between revisions of "Circular points"

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''cyclic points, on the plane completed by imaginary points at infinity''
 
''cyclic points, on the plane completed by imaginary points at infinity''
  
The two imaginary points at infinity whose homogeneous coordinates <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/c/c022/c022310/c0223101.png" /> and <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/c/c022/c022310/c0223102.png" /> satisfy the equation of any circle. Straight lines passing through circular points are known as isotropic lines.
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The two imaginary points at infinity whose homogeneous coordinates $(1,i,0)$ and $(1,-i,0)$ satisfy the equation of any circle. Straight lines passing through circular points are known as isotropic lines.

Latest revision as of 09:42, 13 April 2014

cyclic points, on the plane completed by imaginary points at infinity

The two imaginary points at infinity whose homogeneous coordinates $(1,i,0)$ and $(1,-i,0)$ satisfy the equation of any circle. Straight lines passing through circular points are known as isotropic lines.

How to Cite This Entry:
Circular points. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Circular_points&oldid=31662
This article was adapted from an original article by BSE-2 (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article