PLÜCKER,JULIUS. - RECONSTRUCTION OF ANALYTICAL GEOMETRY.

On a New Geometry of Space. Received December 22, 1864, - Read February 2, 1865.

(London, Taylor & Francis, 1865) Large 4to. Without wrappers. Extracted from "Philosophical Transactions of the Royal Society of London.", Vol. 155 - Part II. Pp. 725-791. Fine and clean.

First appearance of this paper in which Plücker reconstructed analytical geometry by the application of a wealth of new ideas.
He introduces the fundamental principle "the geometry needs not solely be based on points as basic elements. Lines, planes, circles, spheres can all be used as the elements ("Raum-Elemente") on which a geometry can be based. This fertile conception threw new light on both synthetic and algebraic geometry, and created new forms of duality."(Dirk J. Struik).

This paper, together with other papers expanded , in 1868-69, into his famous book, bearing the same title as the paper offered.

Order-nr.: 42301