Complex sentence: In relation to this, a special sphere transformation was given by Edmond Laguerre (1880-1885) who called it the "transformation by reciprocal directions" and who laid down the foundation of a geometry of oriented spheres "and planes".
Split into simpler sentences: In relation to this, a special sphere transformation was given. It was mainly developed by Edmond Laguerre (1880-1885) who called them "transformations by reciprocal directions" in the course of developing a geometry of oriented spheres "and planes".