Display title | Carnot's theorem (inradius, circumradius) |
Default sort key | Carnot's theorem (inradius, circumradius) |
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Page ID | 200582 |
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Date of page creation | 04:04, 10 July 2021 |
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Article description: (description ) This attribute controls the content of the description and og:description elements. | In Euclidean geometry, Carnot's theorem states that the sum of the signed distances from the circumcenter D to the sides of an arbitrary triangle ABC is
$ DF+DG+DH=R+r,\ $
where r is the inradius and R is the circumradius of the triangle. Here the sign of the distances is taken to be negative if and... |