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Homographic


Any two ranges {ABC...} and {A^'B^'C^'...} which are situated on the same or different lines are said to be homographic when the cross ratio of any four points on one range is equal to the cross ratio of the corresponding points of the other range.


See also

Cross Ratio, Linear Fractional Transformation, Möbius Transformation

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References

Lachlan, R. "Homographic Ranges and Pencils." §433-439 in An Elementary Treatise on Modern Pure Geometry. London: Macmillian, pp. 279-282, 1893.

Referenced on Wolfram|Alpha

Homographic

Cite this as:

Weisstein, Eric W. "Homographic." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Homographic.html

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