KoG, Vol. 27 No. 27, 2023.
Izvorni znanstveni članak
https://doi.org/10.31896/k.27.2
A Miquel-Steiner Transformation
Boris Odehnal
orcid.org/0000-0002-7265-5132
; University of Applied Arts Vienna, Vienna, Austria
Sažetak
Each complete quadrilateral has three Miquel-Steiner points. Any triangle together with an arbitrarily chosen point not on a triangle side also defines a complete quadrilateral, and thus, this pivot point defines three Miquel-Steiner points. These three Miquel points form a triangle
which is perspective with the base triangle. The mapping that assigns to the pivot point the uniquely defined perspector is a quadratic and not involutive Cremona transformation and shall be called Miquel-Steiner transformation. We shall study the action of the Miquel-Steiner transformation and its inverse.
Ključne riječi
Miquel points; quadrilateral; triangle; quadratic Cremona transformation
Hrčak ID:
311472
URI
Datum izdavanja:
21.12.2023.
Posjeta: 230 *