The authors document the ups and downs of their discipline as it moves into and out of fashion. It appears today that geometry's status has reached a new low, ...

So from the point of view of projective geometry, points at infinity of a projective plane are not distinguished from ordinary points and the line at infinity ...

In projective geometry every two straight lines in the same plane have a point in common, i.e., inter- sect. All points being regarded as equivalent, it can.

The objective of this course is to give basic notions and intuitions on projective geometry. The interest of projective geometry arises in several visual ...

These notes arose from a one-semester course in the foundations of projective geometry, given at Harvard in the fall term of 1966–1967.

One of the virtues of projective geometry is that it yields a very clean presentation of rational curves and rational surfaces. The general idea is that a plane ...

Projective geometry has its origins in Renaissance Italy, in the development of perspective in painting: the problem of capturing a 3-dimensional image on a ...

The purpose of these lecture notes is to present the basic geometrical properties of projec- tive spaces (projective geometry) in a manner reflecting their ...

Two parallel planes have the same straight line at infinity in common. All planes parallel to a given plane must be considered as passing through a fixed ...

One theme of this text is the equivalence of geometric axioms for affine and projective planes with algebraic axioms for the corresponding au- tomorphism groups ...