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On inequality \(R_{p}<R\) of the pedal triangle - MaRDI portal

On inequality \(R_{p}<R\) of the pedal triangle (Q2853305)

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scientific article; zbMATH DE number 6217268
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English
On inequality \(R_{p}<R\) of the pedal triangle
scientific article; zbMATH DE number 6217268

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    21 October 2013
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    interior point
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    transformation
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    conjecture
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    pedal triangle inequality
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    On inequality \(R_{p}<R\) of the pedal triangle (English)
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    The author of this paper demonstrates the pedal triangle inequality \(R_p <R\), where \(R\) is the circumradius of a triangle and \(R_p\) is the circumradius of the pedal triangle of an interior point with respect to this triangle. Also, the author demonstrates a few inequalities with elements of the pedal triangle.
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