Matching Standard and Secant Parallels in Cylindrical Projections

Map projections are usually interpreted by mapping a sphere onto an auxiliary surface, and then the surface is developed into plane. It taken as fact without proof that parallels in which intersects mapped distortions. In previous paper, based on theoretical consideration illustrated with several examples, author concluded explaining cylindrical not good approach, because it leads to misunderstanding important properties of projection. this paper I prove there no equal-area, equidistant, or conformal for standard parallel will coincide secant after folding map cylinder.