Which preposition to use with strigil

on Occurrences 1%

Here he was anointed (unctus), i.e. rubbed dry from perspiration, with a strigil on which oil was dropped to soften its action.[440] When this operation was over, about the ninth hour, which in mid-winter would begin about half-past one, he was ready for the dinner which followed immediately.

Which preposition to use with  strigil