# The Klein Configuration

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Take three points , , on one line and three points , , on another line. Join them with six lines and define three points , , . Pappus's theorem states that , , lie on a line. These nine points and nine lines represent a "configuration". Each point is on three lines, and each line goes through three points. This is called the Pappus configuration.

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Contributed by: Ed Pegg Jr (November 2016)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

Further details are in [1].

Reference

[1] R. W. H. T. Hudson, *Kummer's Quartic Surface*, 1905. archive.org/details/quarticsurface00kummrich.

## Permanent Citation