Line bundle (elementary geometry)
In synthetic projective geometry, a bundle of lines is the set of all lines that go through a point . The point is called the carrier of the straight line bundle. The straight line bundle is a basic structure of the second level.
If the carrier is a far point , all straight lines are parallel ( parallel line ). In this case, the straight line bundle contains, in addition to the normal parallel straight lines, a straight line bundle made up of long distance lines . They are the long-distance straight lines of those planes that go through straight bundle lines.
Two straight line bundles always have exactly one straight line in common.
Individual evidence
- ↑ Kleine Enzyklopädie Mathematik , Leipzig 1970, p. 216.