Which preposition to use with authoritie

of Occurrences 2%

And nowe they haue proclaimed in their [Greek: hareiophaga] a generall surceasing and silence of balde rymers, and also of the verie beste to; in steade whereof they haue, by authoritie of their whole senate, prescribed certaine lawes and rules of quantities of English sillables for English verse; hauing had thereof already greate practise, and drawen mee to their faction.

by Occurrences 1%

Suppose this don And any man you favourd most set up, Shall your authoritie by him encrease?

Which preposition to use with  authoritie