Note on a Geometrical Theorem

Abstract

ft =10.If we put w = 0, the second set reduce to the corresponding expressions for t*+v multiplied by q c j ; and the third set reduce to tbe same quantities multiplied by d^cZ,.When u=v=w, the formulra reduce directly to the known expressions for 8u.It is noteworthy that the expressions for the functions of tt+v+w, recently communicated to the Society by Mr. M. M. U. Wilkinson,* reduce, when w-0, to the forms 8 V 0,, D n and N t ; and that, when rendered homogeneous by the introduction of the letter n, they are symmetrical with respect to the four letters 8, c, d, and n, and therefore constitute of themselves a complete system.

Locations

• Proceedings of the London Mathematical Society - View
• Zenodo (CERN European Organization for Nuclear Research) - View - PDF