Final answer:
When the eye turns medially towards the nose it is referred to as convergence, which is controlled by the medial rectus muscles and part of the accommodation-convergence reflex.
Step-by-step explanation:
The term used when the eye turns medially, also known as towards the nose, is called convergence. This is an action primarily controlled by the medial rectus muscles of both eyes, which are extraocular muscles responsible for adduction, or the movement of the eyes towards the midline. The process of convergence is linked with the accommodation of the lens in the eye, which is necessary for maintaining focus on objects as they come closer to the face, a reflex known as the accommodation-convergence reflex. This reflex involves both the coordination of the skeletal muscles for convergence and the coordination of the smooth muscles of the ciliary body for accommodation.