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## Main Question or Discussion Point

I want to know how mathematician got the idea of external division , how they can say that a point can divide a line externally, what's the reason behind this discovery . Why they discovered it.

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- Thread starter prashant singh
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I want to know how mathematician got the idea of external division , how they can say that a point can divide a line externally, what's the reason behind this discovery . Why they discovered it.

- #2

jedishrfu

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http://www-math.ucdenver.edu/~wcherowi/courses/m3210/lecchap5.pdf

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fresh_42

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I assume because of the invariance of the ratios under affine mappings, e.g. parallel projections. These mappings are essential to the constructions @jedishrfu mentioned.Why they discovered it.

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