Omid Ali Shahni Karamzadeh,
Is The Mystery of Morley's Trisector Theorem Resolved?
Forum Geometricorum, 18 (2018) 297-306.
Abstract. In this paper we discuss with
some reasons why the above possible mystery in the title is resolved. In particular, we prove Morley's Theorem is, in fact, a
natural consequence of an overlooked simple result concerning a general
property of angle bisectors as loci. We try to show with emphasis why one
cannot expect a simpler proof of Morley's Theorem than a particular
given proof of the theorem in the literature. Finally, in view of the
above overlooked fact, we observe that two known problems in the literature can
naturally be generalized and turned into two corollaries with no needed proofs.
More applications of this overlooked fact is also
observed.
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Geom., 18 (2018) Table of Contents