¶ Projective Transformation
← Projective Transformation | Projective Transformation →
Index Entry
There is local contraction within each small triangle of the three-way grid and that contraction is symmetrical. In all the other familiar methods of map projection, projection errors are dismissed outwardly from the point or line of reference and thereby greatly increased. Compare a circle of radius one with w circle of radius two; because the area of a circle of radius two is approximately four times the area of a circle of radius one, when the dimensional variables of a projected surface are outwardly distributed, the proportion of total map area that is in relatively greatest distortion exceeds by the ratio of three to one the relatively least distorted areas. In my system, the spherical surface subsides inwardly by symmetrical contraction and the proportion of the map which is in relatively greatest dimensional distortion is less by a ratio of one to three than its relatively undistorted area. In my map the error is sent inwardly and is at maximum at the center of each small spherical triangle of the three-way grid system. Every triangle is contracted symmetrically at the same rate.
