The short branch z quickly divides into three parts: (1) a small anteriorly directed vessel which may be called the _internal carotid_, ic, since it enters the skull through the most ventral of the three foramina in the exoccipital, and probably supplies the brain, though its further course could not be followed; (2) a somewhat larger posteriorly directed artery, oc, going to the muscles at the occipital region of the skull; (3) a short laterally directed stem, z¹. The last-named branch, z¹, in turn, leads in three directions: (a) to the collateralis colli artery through the connective x¹; (b) a short anteriorly directed vessel, e, that passes into the skull, possibly to the ear, through the large foramen that lies between the exoccipital and quadrate bones; it gives off a small twig, q, to the muscles in the region of the jaw articulation (quadrate); (c) the main stem of the branch z continues laterad and cephalad as one of the chief arteries, z², to the anterior region of the skull, giving off a fairly wide branch, jm¹, to the large jaw muscle, and then two branches, o¹ and o², to the lateral surface of the eyeball and socket; it then anastomoses, just cephalad and laterad to the eye, with the forward continuation, cm¹, of the corresponding main stem, cm, of the common carotid, already mentioned. The vessel cm¹, after almost meeting its fellow in the middle line, passes cephalad and laterad across the ventral surface of the eye to the union, above mentioned, with the lateral branch, z²; at the posterior-mesial border of the eye it gives off a branch that divides into two twigs, one, o³, for the posterior eye muscles, and one, e¹ to the region of the ear and the top of the skull. At the point of union of the branches cm¹ and z² a sort of simple plexus may be formed from which two vessels, n, pass to the posterior nasal region, and two vessels pass forward along the side of the upper jaw. Of the latter two vessels one, which may be called the _inferior dental_ of the maxilla, dm, is very small and extends along the maxilla to its very tip, at the base of the teeth and ventral to the palatine bone; the other, which is larger and may be called the _superior dental_ of the maxilla, dm¹, extends cephalad along the mesial side of the maxilla, dorsal to the palatine bone; it sends numerous twigs into the maxillary bone among the roots of the teeth. After passing nearly to the end of the snout, the superior dental, dm¹ suddenly forms a loop towards the median line and passes as a straight branch, n¹, directly caudad, near and parallel to the median plane. The branch n¹ extends along the floor of the nasal cavity and, after giving off twigs to this chamber, ends in a network of vessels, o⁴, on the anterior surface of the eyeball and socket.