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Simple ratio

From Encyclopedia of Mathematics
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of three points on a straight line

The number such that

One says, moreover, that divides the segment in the ratio . If and are the coordinates of and , then the coordinates of are

The simple ratio is an invariant of affine transformations.

How to Cite This Entry:
Simple ratio. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Simple_ratio&oldid=31657
This article was adapted from an original article by A.B. Ivanov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article