How does the prefix 'hyper-' explain 'hyperopia' (farsightedness)?

Solution 1:

Hyperopia (farsightedness or longsightedness) is a condition in which the eyeball's shape causes the light rays to hit the retina before they converge. That is, the the lens places the focal point of the light beyond the retina (hence the hyper, Greek for over, in excess). The diagrams in your question show this imaginary focal point in that position.