Facial artery

external maxillary arteryfacial arteries
The facial artery (external maxillary artery in older texts) is a branch of the external carotid artery that supplies structures of the superficial face.wikipedia
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Lingual artery

sublingual arterydeep lingual arterydorsal lingual branches of lingual artery
The facial artery arises in the carotid triangle from the external carotid artery a little above the lingual artery and, sheltered by the ramus of the mandible, passes obliquely up beneath the digastric and stylohyoid muscles, over which it arches to enter a groove on the posterior surface of the submandibular gland.
The lingual artery arises from the external carotid between the superior thyroid artery and facial artery.

Angular artery

angular
It then curves upward over the body of the mandible at the antero-inferior angle of the masseter; passes forward and upward across the cheek to the angle of the mouth, then ascends along the side of the nose, and ends at the medial commissure of the eye, under the name of the angular artery.
The angular artery is the terminal part of the facial artery; it ascends to the medial angle of the eye's orbit, imbedded in the fibers of the angular head of the quadratus labii superioris, and accompanied by the angular vein.

Carotid triangle

carotidsuperior carotid triangleTrigonum caroticum
The facial artery arises in the carotid triangle from the external carotid artery a little above the lingual artery and, sheltered by the ramus of the mandible, passes obliquely up beneath the digastric and stylohyoid muscles, over which it arches to enter a groove on the posterior surface of the submandibular gland.

Mandible

dentarylower jawmandibular
The facial artery arises in the carotid triangle from the external carotid artery a little above the lingual artery and, sheltered by the ramus of the mandible, passes obliquely up beneath the digastric and stylohyoid muscles, over which it arches to enter a groove on the posterior surface of the submandibular gland. This is to accommodate itself to neck movements such as those of the pharynx in deglutition; and facial movements such as those of the mandible, lips, and cheeks.

Lip

lipsupper liplower lip
This is to accommodate itself to neck movements such as those of the pharynx in deglutition; and facial movements such as those of the mandible, lips, and cheeks.
The facial artery is one of the six non-terminal branches of the external carotid artery.

External carotid artery

external carotidexternal carotid arteriesexternal
The facial artery arises in the carotid triangle from the external carotid artery a little above the lingual artery and, sheltered by the ramus of the mandible, passes obliquely up beneath the digastric and stylohyoid muscles, over which it arches to enter a groove on the posterior surface of the submandibular gland. The facial artery (external maxillary artery in older texts) is a branch of the external carotid artery that supplies structures of the superficial face.

Ascending palatine artery

ascending palatine
The ascending palatine artery is an artery in the head that branches off the facial artery and runs up the superior pharyngeal constrictor muscle.

Facial vein

anterior facial veinfacial
The anterior facial vein lies lateral/posterior to the artery, and takes a more direct course across the face, where it is separated from the artery by a considerable interval.
It lies behind the facial artery and follows a less tortuous course.

Digastric muscle

digastricDigastricusanterior belly of the digastric muscle
The facial artery arises in the carotid triangle from the external carotid artery a little above the lingual artery and, sheltered by the ramus of the mandible, passes obliquely up beneath the digastric and stylohyoid muscles, over which it arches to enter a groove on the posterior surface of the submandibular gland.

Submental artery

submental
The submental artery is a branch of the facial artery that runs on the underside of the chin.

Lateral nasal branch of facial artery

Lateral nasal branchlateral nasal branches of the facial artery
The lateral nasal branch of facial artery (lateral nasal artery) is derived from the facial artery as that vessel ascends along the side of the nose.

Inferior labial artery

inferior labialinferiorinferior labial arteries
The inferior labial artery (inferior labial branch of facial artery) arises near the angle of the mouth as a branch of the facial artery; it passes upward and forward beneath the triangularis and, penetrating the orbicularis oris, runs in a tortuous course along the edge of the lower lip between this muscle and the mucous membrane.

Dorsal nasal artery

dorsal nasal branchnasal artery
The facial artery anastomoses with (among others) the dorsal nasal artery of the internal carotid artery.

Risorius

risorius muscle
In its course over the face, it is covered by the integument, the fat of the cheek, and, near the angle of the mouth, by the platysma, risorius, and zygomaticus major.

Levator anguli oris

caninuslevator anguli oris muscle
It rests on the buccinator and levator anguli oris, and passes either over or under the infraorbital head of the levator labii superioris.

Zygomaticus major muscle

zygomaticus majorzygomaticusmajor
In its course over the face, it is covered by the integument, the fat of the cheek, and, near the angle of the mouth, by the platysma, risorius, and zygomaticus major.

Levator labii superioris

quadratus labii superiorislevator labii superioris musclequadratus labii superioris muscle
It rests on the buccinator and levator anguli oris, and passes either over or under the infraorbital head of the levator labii superioris.

Transverse facial artery

transverse artery of the facetransverse facial
* Transverse facial artery
The transverse facial artery is given off from the superficial temporal artery before that vessel leaves the parotid gland; running forward through the substance of the gland, it passes transversely across the side of the face, between the parotid duct and the lower border of the zygomatic arch, and divides into numerous branches, which supply the parotid gland and parotid duct, the masseter muscle, and the integument, and anastomose with the facial artery, the masseteric artery, the buccinator artery, and the infraorbital artery.

Levator veli palatini

Levator velum palatini musclelevator palatiLevator veli palatini muscle

Procerus muscle

procerusdepressor glabellaePyramidalis nasi