Final answer:
Three extrinsic eye muscles classified as such are the lateral rectus, controlled by the abducens nerve; the superior oblique, controlled by the trochlear nerve; and the medial rectus, controlled by the oculomotor nerve.
Step-by-step explanation:
The extrinsic eye muscles, which are located inside the eye socket and responsible for the movement of the eyeball, include six muscles in total. Out of these, three that are classified as extrinsic eye muscles are: lateral rectus, which causes abduction of the eye and is innervated by the abducens nerve; superior oblique, which rotates the eye medially (intorsion) and is innervated by the trochlear nerve; and the medial rectus, which moves the eye medially and is innervated by the oculomotor nerve.
These nerves originate from different parts of the brainstem and are responsible for coordinating eye movements.