Systems more definitely circumscribed than the constellations just named are the Hyades, the Pleiades, Coma Berenices, Prae sepe, and the Double Cluster in Perseus. All these clusters are
visible with the unaided eye, and for all of them the proper mo tions (angular speeds) have been studied in much detail. An in vestigation of the proper motions of the individual stars of a cluster leads to the discovery, first made for the Hyades by Lewis Boss, that the paths converge towards a common point (or diverge from one). The convergence is obviously a matter of perspective. When the convergent point is accurately deter mined, and the motion of one or more of the stars of the cluster in the line of sight has been determined spectroscopically, then we can determine with high accuracy the linear distance to the cluster and the actual speed of the stars. If V is the radial velocity of the star in kilometers per second, its proper motion in seconds of arc per year, and 0 the angular distance from the star to the convergent point, then the distance in parsecs, R, is given by