Abstract. A Minkowski geometry is Euclidean if and only if the altitudes of any trigon are concurrent. A Minkowski geometry is Euclidean if and only if the perpendicular bisectors of any trigon are concurrent.
DOI: 10.14232/actasm-015-518-0
AMS Subject Classification
(1991): 53A35; 51M09, 52A20
Keyword(s):
Minkowski geometry,
circumcenter,
classification
Received February 24, 2015, and in revised form March 26, 2015. (Registered under 18/2015.)
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