Alain Levelut, A note on the Hervey point of a complete quadrilateral,
Forum Geometricorum, 11 (2011) 1--7.
Abstract.
Using the extension of the Sylvester relation to four
concyclic points we define the Hervey point of a complete quadrilateral and show that it is the center of a circle
congruent to the Miquel circle and that it is the point of concurrence of eight
remarkable lines of the complete quadrilateral. We also show that the Hervey
point and the Morley point coincide for a particular type of complete
quadrilaterals.
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