Renumeralised Projection

Renumeralisation is a method to construct new maps by modifying well known true or untrue projections.

If the image co-ordinates of the initial map projection are given by

       x  =  x (u,v)     and     y  =  y (u,v,          (1)

so the renumeralisation (transformation) takes place by suitable functions

        u (s,t)       and     v  =  v (s,t) ,          (2)

which (inserted in the image co-ordinates above (1)) will deliver the new projection co-ordinates.

If the so constructed map projection is supposed to have certain »differential-geometrical characteristics« - i.g. area-fidelity or conformality -, these characteristics cause certain »side conditions« for the functions (2).