Pharyngeal branches of ascending pharyngeal artery
Encyclopedia
The pharyngeal branches of ascending pharyngeal artery are small branches of the ascending pharyngeal artery
Ascending pharyngeal artery
The ascending pharyngeal artery, the smallest branch of the external carotid, is a long, slender vessel, deeply seated in the neck, beneath the other branches of the external carotid and under the Stylopharyngeus...

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They are three or four in number. Two of these descend to supply the Constrictores pharyngis medius and inferior and the Stylopharyngeus, ramifying in their substance and in the mucous membrane lining them.
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