By superimposing concentric radial elements on rectangular coordinate rulings, vernier systems may be constructed reading in two or three dimensions without the necessity of any particular angular orientation.A two‐dimensional vernier may consist of one transparent element ruled with concentric circles. The observed tangencies of the circles, with regard to a rectangular grid placed in contact, provide the reading of the additional decimal of the coordinates of the fiducial center of the circles on the grid.A three‐dimensional vernier system may be established by means of a binocular optical system presenting images of spheres concentric with the locating point and images of coordinate boxes in the same space. The tangency of a vernier sphere and coordinate plane indicates the last decimal of the reading.Angular orientation may be indicated by radial lines near the points of tangency.