My growing conviction that the Bear constellations had furnished the archetype of the different forms of swastika and cross-symbols, found subsequent support when I referred to the map showing the geographical distribution of the ancient symbol published by Prof. Thomas Wilson in his valuable and comprehensive monograph on the subject,(1) to which I am indebted for much information and several illustrations (pl. II, _a-f_, etc.). The map, reproduced here (fig. 5), proves that, with two exceptions, which can be attributed to a migration southward, the employment of the swastika has been confined to the northern hemisphere, _i. e._, precisely to that portion of our globe from which the circumpolar constellations are visible. [Illustration.] Figure 6. Star-Map, Representing The Precessional Movement Of The Celestial Pole From The Year 4000 B.C. To The Year 2000 A.D. (_From Piazzi Smyth_.) The interesting possibility of being able to determine, approximately, the date in the world’s history when the swastika began to be employed as a symbol, next occurred to me. Piazzi Smyth’s star-map, discussed and reproduced in Professor Lockyer’s work already cited (fig. 6), illustrates the changes of direction of the earth’s axis in space, which gives rise to what is called the precession of the equinoxes and has a cycle of something like 25,000 or 26,000 years. Reference to this star-map (fig. 6) proved that the observations, leading to the adoption of the swastika as a symbol, could not possibly have been made until after Ursa Major had become circumpolar, about 4,000 B.C. At that period, when Draconis was the pole-star, the circle described about it by Ursa Major was considerably closer than it is at present. The accompanying illustrations (fig. 7), subject to correction, demonstrate the relative distance of the constellation about 2,770 B.C., 1,800 B.C., and 2,000 A.D., and show how much more strikingly impressive the polar region of the heavens was in remote antiquity. [Illustration.] Figure 7. Let us now briefly review some of the ideas which would naturally suggest themselves to the mind of the primitive observer, after he had recognized the apparent immovability of the polar-star, concentrated his attention upon this feature, and contrasted it with the varying motions of all other celestial bodies in general and with the rotation of the circumpolar star-groups in particular.