Here is a simple way to look at it. Voltage must be measured between two points. If you take a 120/240V standard single phase household panel, and measure between the neutral point and one of the phases, and then look at the results on an oscilloscope, you will see a sine wave. If you measure between the neutral point and the other phase, you will also see a sine wave, and it will look pretty much the same as the first one. If you instead measure from one phase to the other, you will still see a sine wave, but the peak to peak size will be double what you had seen before. The fact that you still see a sine wave, and not a set of two or three separate sine waves, tells you that you are still seeing a single phase system.