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What makes it go below the zero point into a negative cycle? is it because the resistance sets up a DC offset at the NODE point?
I think I see what you're getting at. Yes, if there were a plain wire between the cap and ground, the node would naturally be at ground (0 V).
However because the resistor is present, it allows the polarity on the capacitor to dominate. Notice the cap acts like a battery as it discharges. Its positive end being electrically closer to ground (0V), therefore the negative end creates a negative volt level.
Another way of seeing it, is that current flowing through the resistor creates a voltage on it. It is negative in this case because the current is flowing AWAY FROM ground (0V).
This should be very easy to see if you watched the animated simulation (linked in my post #19).
And if the resistor were not present, the capacitor's negative end would create several volts of negative polarity at the next device's input, which risks damage to the device.