Which preposition to use with cauterize

in Occurrences 1%

With reference to the article on Sydney Smith's "Visitation Sermon" in No. 5, Mr. George Ellis privately wrote to Mr. Murray: "Gifford, though the best-tempered man alive, is terribly severe with his pen; but S.S. would suffer ten times more by being turned into ridicule (and never did man expose himself so much as he did in that sermon) than from being slashed and cauterized in that manner.

with Occurrences 1%

Some have been cauterized with Satyrs and Lampoons, but have received little or no Benefit from them; others have had their Heads fastned for an Hour together between a Cleft Board, which is made use of as a Cure for the Disease when it appears in its greatest Malignity.

Which preposition to use with  cauterize