Convert from line [small] to gnat's eye

Unit Definition (line [small])
The line [small] is a unit of distance equal to 1/14 inch, used in printing and advertising. This usage is short for agate line.

Unit Definition (gnat's eye)
The gnat's eye is an idiomatic "unit" of distance; it's common to hear that something is "as small as a gnat's eye". In fact, the eyes of typical gnats tend to have diameters similar in size to a hair's breadth: roughly 100-150 micrometers (0.10-0.15 millimeters).