Which preposition to use with deter

from Occurrences 100%

The men from Royal were scattered all along the line, peering through the dim light to discover a vulnerable point of attack but deterred from interfering by the determination of the stalwart defenders.

at Occurrences 1%

He never did find out whether he had been made the butt of a hideous practical joke by a half-mad brute or whether his tormentor really meant to send him to death and was deterred at the last moment by fear of the consequences.

in Occurrences 1%

Several hours were lost to the party by this incident, though they were in no wise deterred in following the trail, still having the veteran dog.

on Occurrences 1%

I did think of it some time ago and was only deterred on account of the expenses attending it.

Which preposition to use with  deter