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Angle and circle characterizations of tangential quadrilaterals - MaRDI portal

Angle and circle characterizations of tangential quadrilaterals (Q2874393)

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scientific article; zbMATH DE number 6252076
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Angle and circle characterizations of tangential quadrilaterals
scientific article; zbMATH DE number 6252076

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    30 January 2014
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    tangential quadrilateral
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    incircle
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    angles
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    circles
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    Angle and circle characterizations of tangential quadrilaterals (English)
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    In this paper, the author proves five theorems concerning necessary and sufficient conditions for a convex quadrilateral to be tangential, that is, a convex quadrilateral having a circle inside to it which is tangent to all four sides. Those theorems, regarding angles and circle, are complementary to the 20 characterizations given by the same author in [Forum Geom. 11, 65--82 (2011; Zbl 1222.51011); ibid. 12, 63--77 (2012; Zbl 1247.51011)].
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