The geometry of the resulting homogeneous space is the line geometry of Julius Pl�cker.
2.
Pl�cker died in 1868, leaving his book on the foundations of line geometry incomplete.
3.
Hence bands form, depending on beam / lattice orientation, with the now-familiar Kikuchi line geometry.
4.
Another important source of isospectral graphs are the point-collinearity graphs and the line-intersection graphs of point-line geometries.
5.
In 1865, Pl�cker returned to the field of geometry and invented what was known as " line geometry " in the nineteenth century.
6.
These may be required to be balanced or unbalanced networks depending on whether the line geometry with which they are to be used is balanced or unbalanced.
7.
The detailed study of quadrics and the " line geometry " of Julius Pl�cker still form a rich set of examples for geometers working with more general concepts.
8.
There he uses P ( " D " ) to describe line geometry in the Euclidean plane and P ( " M " ) to describe it for Lobachevski's plane.
9.
The load and horizontal line geometry in horizontal lifelines usually creates falls in excess of the 6 ft limit of the standard, limiting HLL design to standard-defined " qualified persons " . ( The recognition of these basic weaknesses have resulted in most temporary " wrapped structure " HLL anchors, which were anchors made from a wire rope wrapped around a structure and its ends fastened together by wire rope clips, being replaced by fixed-point anchors or HLL systems designed by defined " qualified " persons .)