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Does anybody have a reference answering the following (at least for me surprisingly non trivial) question?

Given an $n \times n$ integer grid, what is the minimum angle between any two distinct lines, each going through some grid point $p$ and at least one other grid point?

I asked this a few years back on MSE and am still interested in a pointer / reference to a proof.

Does anybody have a reference answering the following (at least for me surprisingly non trivial) question?

Given an $n \times n$ integer grid, what is the minimum angle between any two distinct lines, each going through some grid point $p$ and at least one other grid point?

I asked this a few years back on MSE and am still interested in a pointer / reference to a proof.

Does anybody have a reference answering the following (at least for me surprisingly non trivial) question?

Given an $n \times n$ integer grid, what is the minimum angle between any two distinct lines, each going through some grid point $p$ and at least one other grid point?

Does anybody have a reference answering the following (at least for me surprisingly non trivial) question?

Given an $n \times n$ integer grid, what is the minimum angle between any two distinct lines, each going through some grid point $p$ and at least one other grid point?

I asked this a few years back on MSE and am still interested in a pointer / reference to a proof.