| Display title | Euler's theorem in geometry |
| Default sort key | Euler's theorem in geometry |
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| Page ID | 176524 |
| Page content language | en - English |
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| Page creator | imported>Pchauhan2001 |
| Date of page creation | 20:05, 6 February 2024 |
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| Date of latest edit | 20:05, 6 February 2024 |
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Description | Content |
Article description: (description) This attribute controls the content of the description and og:description elements. | In geometry, Euler's theorem states that the distance d between the circumcenter and incenter of a triangle is given by
$ {\displaystyle d^{2}=R(R-2r)} $
or equivalently
$ {\displaystyle {\frac {1}{R-d}}+{\frac {1}{R+d}}={\frac {1}{r}},} $
where $ R $ and $ r $ denote the circumradius and inradius respectively... |