The ellipse and other conic sections are then explored using some ideas from

projective geometry.

Therefore, in

projective geometry, the four points [A.sub.1], [A'.sub.1], O, [V.sub.1] and the four points [B.sub.1], [B'.sub.1], O, [V.sub.1] are harmonic conjugates, respectively.

Rubin, "Relativistic localizing processes bespeak an inevitable

projective geometry of spacetime," Advances in High Energy Physics, vol.

For introduction of such characteristics we use a number of concepts of

projective geometry [7, 8], applied in the electric circuit theory [9, 10].

The curves for this study were derived from planar ellipses, generated in AUTOCAD on the basis of

projective geometry, through transformation by affinity with concentric circles (Figure 1(a)), a procedure frequently used in digital rendering and design.

These numbers are related to classical numbers on the sizes of k-arcs in

Projective Geometry. New conjectures for matroids are given based on results in Projective Geometries.

(1) The episode from "Alice" of "Pig and Pepper" according to Bayley "parodies the principle of continuity, a bizarre concept from

projective geometry which was introduced in the mid-19th century from France....

Even before Beltrami proved the independence of the Parallel Postulate, mathematicians were still able to work on

Projective Geometry. In the early 17th Century, Kepler suggested the notion of 'points at infinity' where parallel lines would intersect; meanwhile Desargues and Pascal began to study Geometry using only intersections.

Introduction to

projective geometry. (reprint, 1970)

Projective geometry and its applications to computer graphics, Prentice-Hall, ISBN 013-730649-0, USA

If considering the projective plane obtained by algebraic extension, one has here a collineation in the sense of the theory of

projective geometry. The only difference is now that the linear order on every line of the betweenness plane remains invariable.