I just got reading this book- "Astronomy - Principles and Practice 4th ed. - A. Roy, D. Clarke" and I got stuck at the following bold lines (I am providing the full text for context to my question):-
Six months after the Sun has risen between north and east and setting between north and west, it is rising between south and east and setting between south and west. Another six months has to pass before the solar cycle is completed, with the Sun once more rising between north and east and setting between north and west. All this could be explained by supposing that the Sun not only revolved with the stars on the celestial sphere about the Earth in one day (its diurnal movement) but that it also moved much more slowly along the path among the stars on the celestial sphere, making one revolution in one year, returning to its original position with respect to the stars in that period of time. We have already seen that the observer who notes over a month what group of stars is first visible above the eastern horizon after sunset will have already come to the conclusion that the Sun moves relative to the stars. Now it is seen that there is a regular secular progression right round the stellar background and that when the Sun has returned to its original stellar position, the seasonal cycle is also completed.
And I couldn't understand what it meant. How could we come to the conclusion that the sun moves relative to stars only by the fact that "group of stars is first visible above the eastern horizon after sunset". Also could someone also explain what the author meant about the "seasonal cycle" here.
I am new to this world, could anyone please provide an easy-to-understand solution. I will be grateful!