The State Plane coordinate system is not a projection. It is a coordinate system that divides all fifty of the United States, Puerto Rico and the US Virgin Islands into over 120 numbered zones. Construction of a coordinate system for each zone is based on one of three projections: the Lambert Conformal Conic, the Transverse Mercator or the Oblique Mercator. The plane coordinate system used in Kansas is based on the Lambert Conformal Conic projection with two standard parallels for each zone--North and South. Each zone has an assigned USGS code, each having a designated central origin that is specified in degrees. Generally used on 7.5 and 15-minute topographic quadrangles.
Northern Kansas Zone 3926
Southern Kansas Zone 3951