[precipitation (n.) :] [...] Latin praecipitationem (nominative praecipitatio)
"act or fact of falling headlong, haste," noun of action
from past participle stem of praecipitare "fall, be hasty," from praeceps "steep" (see precipice). [...]
[precipice (n.) :] "steep face of rock," 1630s, from Middle French précipice
[3.] from Latin praecipitium "a steep place," literally "a fall or leap,"
[2.] from praeceps (genitive praecipitis) "steep, headlong, headfirst
[1.] from prae "before, forth" (see pre-) + caput "head" (see head (n.)). [...]
Please correct me if my conjecture are incorrect: I conjecture the meaning of 'steep' to originate from the physical properties of the human head: imagine that you are a tick running atop someone's head from the back to the forehead. Then the tick may fly off the human head like a diver running to the end of the diving board before diving.
But "a fall or leap": whence did it originate? How does it connect to 1?
1-3 suggest a conjecture that the Romans liked to fall or leap off precipices? Is this true?
(If so, I hope for diving and fun, and not death.)