The Neuberg - Mineur circle /

نویسنده

  • Darij Grinberg
چکیده

The impetus for this note was given to me by aMathesis article [6] by Thébault and Mineur from 1931 more precisely, as I could not locate the article itself, by its review (JFM 57.0773.03) in the Jahrbuch für Mathematik [8], which only mentioned the result of the article without proof. The result a theorem about quadrilaterals, which, in spite of its simplicity and elegance, has been apparently forgotten ever since immediately attracted my attention. After some time I had found a proof and an extension of the result, which will make the subject of the following note. However, before we come to the formulation of these theorems, we have to discuss some prerequisites. Readers with sound experience in geometry can skip these and only pick up the notations (the ones de…ned in 1. and the de…nition of P -zero circle in 5.).

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تاریخ انتشار 2007