Sampling rate with sinus waves

[TugdualKerjan]

Hi,
I'm new to signal processing so it may be that this is a misunderstanding:
In the sampling.html page, to illustrate the nyquist theorem at play you give us an interactive tool with different frequencies and a bar to change the sample rate.

The issue is that the theorem has, if I understand correctly, a caveat: If sampling a pure sin wave, the theorem will need that the sampling frequency be strictly larger. As we can see we wouldn't be able to recover the 1Hz signal by setting the sampling frequency to two hertz, as it just gives values of 0.

To solve this I would shift the sampling, so as to make it a little more comprehensible for the reader.
I'm unsure what you think of this, and I am, again, new so it might not be a better solution :)

Have a great day!