Which preposition to use with arx

on Occurrences 2%

[Footnote 1: The style of modern historical criticism is well exemplified in the discussions of the Germans whether the Arx on the Capitoline Hill occupied the northeastern or southwestern corner, which take up nearly one half of the learned article on the Capitoline in Smith's Dictionary.]

to Occurrences 1%

At the north-western end it is closed in by the Capitoline hill, with its double summit, the arx to the right, and the great temple of Jupiter, Juno, and Minerva facing south-east towards the Aventine.

Which preposition to use with  arx