The fundamental theorem of affine geometry in regular L0-modules

The fundamental theorem of projective geometry

We prove the fundamental theorem of projective geometry. In addition to the usual statement, we also prove a variant in the presence of a symplectic form.

The Fundamental Theorem of q-Clan Geometry

Fundamental Theorem of Geometry without the 1-to-1 Assumption

It is proved that any mapping of an n-dimensional affine space over a division ring D onto itself which maps every line into a line is semiaffine, if n ∈ {2, 3, . . . } and D 6= Z2. This result seems to be new even for the real affine spaces. Some further generalizations are also given. The paper is self-contained, modulo some basic terms and elementary facts concerning linear spaces and also –...

Affine Maps in Triangle Geometry and Feuerbach’s Theorem

a fundamental study of "histiriographic metafiction", and "literary genres", as introduced in "new historical philosophy", and tracing them in the works of julian barnes.

abstract a fundamental study of “historio-graphic metafiction” and “literary genres”, as introduced in “new historical philosophy”, and tracing them in the works of julian barnes having studied the two novels, the porcupine and arthur & george, by julian barnes, the researcher has applied linda hutcheon’s historio-graphic metafictional theories to them. the thesis is divided into five cha...