By William R. Hamilton

Hamilton published a paper entitled

which appeared in the Proceedings of the Royal Irish Academy, volume 7 (1862), pp. 532-582.On Geometrical Nets in Space.

This paper is available in the following formats:

In this paper, Hamilton introduces a *quinary calculus*,
in which the position of a point in (three-dimensional) space
relative to five chosen points in general position is described
by quintuples of real numbers. Hamilton uses this quinary
calculus to study the *geometric net* of points, lines and
planes, obtained from those five points by successively
intersecting planes passing through three of the given or
subsequently constructed points with lines passing through two
such points.

Links:

D.R. Wilkins(

School of Mathematics

Trinity College, Dublin