102 THE ESSEX NATURALIST. fossil from Harwich, thus started the idea that the Lower Eocene mammals possibly included the common ancestors of the hoofed mammals. Comparison with Upper Eocene fossils suggested that the five-toed Hyracotherium might actually be the fore- runner of the one-toed horses. Later discoveries, especially in the Eocene of North America, have confirmed this impression, and the researches of J. Leidy, E. D. Cope, O. C. Marsh, W. B. Scott, H. F. Osborn, J. L. Wortman, and others, have made known many allied hoofed mammals which seem to belong to the ancestral stem. It now appears that all the early Eocene mammals were characterised by a comparatively small and simple brain, which gradually enlarged and improved in their successors of later Tertiary periods. All of them had a skull of nearly the same shape, whether flesh-eaters, insect-eaters, or vegetable-feeders. Many of them—if not the majority—also retained a stout and powerful tail inherited from their reptilian ancestors. The hinder end of the body would gradually taper into the tail, as it still does in such primitive mammals as the thylacine (Thylacinus) from Tasmania and the aard vark (Orycteropus) from South Africa. It is wrong to restore early Eocene mammals with the appendicular tail of a dog or a cow. The teeth of these forerunners of the typical modern mammals are also noteworthy. Whereas the teeth in reptiles are variable in number, they are always 44 (or 22 in each jaw) in the early Eocene typical mammals, namely, three incisors, one canine, four premolars, and three molars in each half. The later land mammals only differ from these in various reductions in the primitive 44 ; while a few sea-mammals are exceptional in having the number increased. Not only is there this curious fixed arrangement of the teeth in the typical mammals, but the tubercles or cusps on the grinding teeth are individual entities which can be identified and traced through long pedigrees in geological time. These tubercles are characteristic of all of them—not merely of the "Hog tribe." In some, the tubercles are pointed for flesh-eating or insect-eating ; in others they gradually pass more or less into ridges effective for grinding succulent plants. There can be no doubt that in most—if not all—of the still earlier really ancestral (Mesozoic) mammals, each grinding tooth had three such tubercles or cusps. Some of