The lens, by itself, when cut of from the suspensory ligaments, is very convex (close to a sphere). It is, in the eye, stretched by the suspensory ligaments and the ciliary muscle into a thinner and lesser convex lens. |
In this situation, the ciliary muscle is resting and stretches the ligaments, thereby also stretching the lens into a less-convex shape. This is the situation when looking far away. |
When the lens has to accomodate (=reading), then the ciliary muscle contracts, the 'hole' in the muscle becomes smaller, the suspensory ligaments move towards the center, and this allows the lens to become more convex. |