Dec 25, 2012 · Projective geometry is an extension of Euclidean geometry with two lines always meeting at a point. In perspective, geometry parallelism does not exist. Then he goes on to …

Feb 7, 2012 · $\begingroup$ Coxeter also wrote a book called Projective Geometry (not the book about the real projective plane) which I think would be a better choice here, than Introduction …

There are several relatively recent textbooks on projective geometry and a host of pre-1950 texts. The most well known of the more recent ones is the probably the one by Coexeter. A little …

A nice interesting book which has a couple of chapters at the start on Projective Geometry, and really the applications of it in Algebraic Geometry is Miles Reid's Undergraduate Algebraic …

Oct 29, 2015 · Hyperbolic geometry, via the Klein model, can be built from projective geometry. In both of these example, models of Euclidean and hyperbolic geometry are built within projective …

Aug 17, 2016 · Colloquially speaking, conics are to projective geometry what circles are to Euclidean geometry. A circle is not a projective concept: applying a projective transformation …

Jul 13, 2020 · The dual to a projective plane is the set of all lines in the plane, which itself is a projective plane (as hinted at in Charles Siegel's answer). This is an important concept in …

Jun 6, 2018 · Sure. A quadric or cubic is a first class citizen in projective geometry. The distinction into ellipse, parabola and hyperbola requires a bit of Euclidean geometry, namely the line at …

Richter-Gebert has has recently written an encyclopaedic book containing an amazing wealth of material on projective geometry, starting with nine (!) proofs of Pappos's theorem . The book …

Now in affine geometry, of which Euclidean geometry is a sub-geometry according to the Klein model, the invariant of affine transformations is the simple ratio, which is, with certain …