Euler's Theorem In Geometry
In geometry, Euler's theorem states that the distance d between the circumcentre and incentre of a triangle can be expressed as
where R and r denote the circumradius and inradius respectively (the radii of the above two circles). The theorem is named for Leonhard Euler, who published it in 1767. However, the same result was published earlier by William Chapple in 1746.
From the theorem follows the Euler inequality:
Read more about Euler's Theorem In Geometry: Proof
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