1. The =occipitalis= (Fig. 72, No. 18), which in turn gives off, first, the occipitalis sublimis. The _occipitalis sublimis_ supplies the outer and the middle portion of the digastricus and the posterior mylo-hyoideus muscle. It also gives off, second, the _occipitalis profunda_ which supplies the inner portion of the digastricus muscle and becomes the _meningeal artery_, which passes through the foramen vagi, entering the brain cavity, where it supplies the coverings of the brain as far as the sella turcica. Superficial branches of this artery are distributed to the muscles in the region of the atlas and anastomose with the vertebral artery. 2. The =ophthalmica externa=, which passes below the articulation of the quadrate bone, around the tympanic cavity, enters the canalis caroticus, and passes into the cranial cavity. The ramus occipitalis, passing out of the same foramen, again enters the diploë of the cranium; then after passing dorsally over the upper outer semicircular canal of the ear, passes backward through the occipital bone. The ophthalmica externa (Fig. 72, No. 9) forms a main trunk and gives off two branches: the _temporal artery_ and the _recurrent ophthalmic_. The recurrent ophthalmic gives off the _rete temporalis_, _rete ethmoidalis_, a branch to the orbital gland, and finally anastomoses with its own branches and with those of the internal ophthalmic at the olfactory foramen and aids in forming the _ethmoidal artery_. These arteries supply blood by giving off branches to the muscles of the eye, sclerotic coat, iris, choroid coat, and the ciliary bodies. It gives off another branch to Harder’s gland, and finally anastomoses with the ethmoidalis. 3. The =plexus temporalis=, rete mirabile ophthalmicum, or wonderful network (Fig. 72, No. 8), is formed between the second and the third trunk of the trigeminus nerve and the rete ophthalmicum. Inferior to this is the _alveolar plexus_, which plexus accompanies the third branch of the trigeminus into the lower jaw. Two main branches form this plexus, one coming from the carotis facialis, which anastomoses with the alveolar artery. The _palpebral plexus_ lies between the trunks of the trigeminus, and supplies mainly the lower eyelid. The _plexus muscularis_ extends to the fifth portion of the temporal muscle. The _plexus lacrimalis_ forms on the posterior orbital wall on the ramus ethmoidalis and supplies the lacrimal gland and the upper eyelid. It anastomoses with branches from the facial artery. The _ramus ciliaris posticus_ supplies the inferior rectus and the external rectus muscle of the eyeball. It anastomoses with the ophthalmica externa.