Zobrazeno 1 - 10
of 46
pro vyhledávání: '"ODEHNAL, BORIS"'
We analyze loci of triangle centers over variants of two-well known triangle porisms: the bicentric and confocal families. Specifically, we evoke the general version of Poncelet's closure theorem whereby individual sides can be made tangent to separa
Externí odkaz:
http://arxiv.org/abs/2108.05430
Publikováno v:
Results Math. 63 (2013), 1071-1078
We show that the set of all (unimodular and non-unimodular) free cyclic submodules of T^2, where T is the ring of ternions over a commutative field, admits a point model in terms of a smooth algebraic variety.
Externí odkaz:
http://arxiv.org/abs/1202.5739
Publikováno v:
Designs, Codes and Cryptography 62 (2012) 343-356
Invariant notions of a class of Segre varieties $\Segrem(2)$ of PG(2^m - 1, 2) that are direct products of $m$ copies of PG(1, 2), $m$ being any positive integer, are established and studied. We first demonstrate that there exists a hyperbolic quadri
Externí odkaz:
http://arxiv.org/abs/1006.4492
Publikováno v:
Mathematica Pannonica 21 (2010) 115-128
There exists a large class of groups of operators acting on Hilbert spaces, where commutativity of group elements can be expressed in the geometric language of symplectic polar spaces embedded in the projective spaces PG($n, p$), $n$ being odd and $p
Externí odkaz:
http://arxiv.org/abs/0905.4648
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications 5 (2009) 096 (15 pages)
Recently, a number of interesting relations have been discovered between generalised Pauli/Dirac groups and certain finite geometries. Here, we succeeded in finding a general unifying framework for all these relations. We introduce gradually necessar
Externí odkaz:
http://arxiv.org/abs/0903.5418
Autor:
Odehnal, Boris
Publikováno v:
KoG
Volume 26
Issue 26
Volume 26
Issue 26
Za svaku točku P na konici c, involucija pravih kutova u točki P inducira eliptičnu involuciju na konici c čije se središte F zove Frégierova točka od P. Zamjena pravih kutova u točki P između označenih krakova s proizvoljnim kutom fi vodi
Publikováno v:
KoG; 2023, Vol. 27 Issue 27, p25-34, 10p
Autor:
ODEHNAL, BORIS
Publikováno v:
KoG; 2023, Vol. 27 Issue 27, p14-24, 11p
Autor:
Odehnal, Boris
Publikováno v:
KoG
Volume 25
Issue 25
Volume 25
Issue 25
We study the locus C of all points in the plane whose pedal points on the six sides of a complete quadrangle lie on a conic. In the Euclidean plane, it turns out that C is an algebraic curve of degree 7 and genus 5 and not of degree 12 as it could be
Autor:
Peternell, Martin, Odehnal, Boris
Publikováno v:
In Computer Aided Geometric Design 2008 25(2):116-129