on the square meaning

1. At right angles
2. Openly, honestly
3. An expression identifying someone as a member of the Freemasons (slang)

Examples

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1. the monument towers aloft on the square.
2. on the square there was a wildly cheering throng.
3. is their business on the square?
4. i walked down the hill from the cathedral and up the street to the cafe on the square.
5. it is well known that he is completely on the square