%0 Journal Article %T Universal AŁżne Triangle Geometry and Four-fold Incenter Symmetry %A Le %A Nguyen %A Wildberger %A Norman John %J - %D 2012 %X SaŁżetak We develop a generalized triangle geometry, using an arbitrary bilinear form in an aŁżne plane over a general Łżeld. By introducing standardized coordinates we Łżnd canonical forms for some basic centers and lines. Strong concurrencies formed by quadruples of lines from the Incenter hierarchy are investigated, including joins of corresponding Incenters, Gergonne, Nagel, Spieker points, Mittenpunkts and the New points we introduce. The diagrams are taken from relativistic (green) geometry %K Triangle geometry %K aŁżne geometry %K Rational trigonometry %K bilinear form %K incenter hierarchy %K Euler line %K Gergonne %K Nagel %K Mittenpunkt %K chromogeometry %U https://hrcak.srce.hr/index.php?show=clanak&id_clanak_jezik=141667