The stars are not curved. But as time goes on during the night, each star
appears to move along a circle, with the center of the circle at the pole
of the sky.
Apart from believing what scientists tell us, watching the stars is positive proof. This is especially apparent when viewing a time delayed sequence of pictures taken with the Pole Star in the centre (in the northern hemisphere). Though there is slight movement of the Pole Star, all other stars move round the Pole Star and show as curved lines of light.
The brightest star among the other stars in the night sky is called pole star.
All stars appear to move due to Earth's rotation, but the Pole Star, also known as Polaris, remains in a relatively fixed position in the sky because it is located almost directly above Earth's North Pole. This causes it to appear stationary as other stars appear to rotate around it.
The pole star
What we see as the north star, or Polaris or the pole star, is a binary system consisting of two stars. However, neither of these stars are the brightest stars. There are many stars that are much brighter as we see them.
Any star other than our own sun is a fixed star. Therefore Proxima Centauri (a red dwarf star) and the Pole Star (Polaris) are fixed stars. Note that fixed stars only appear to be fixed but are actually in motion.
The Pole Star appears to be stationary in the Northern sky, while other stars move in a circular orbit as the earth rotates. Once the Pole Star is found, people can use the pole to navigate should a compass is not available.
This is because the Pole Star (i.e. Polaris, in the Northern hemisphere) is within a degree of the Earth's centre of rotation. That is, the north pole is in line with this particular star. Thus, as the Earth rotates, Polaris does not appear to move in the sky, and the rest of the stars appear to revolve around it.
If you spend any time outside at night looking at the stars, you may have noticed that they're constantly moving. The Big Dipper turns completely around the Pole Star every day, almost like the hand of a huge clock. So, if you pick any star at all in the sky, except for the Pole Star itself, the altitude and azimuth of any star you pick are constantly changing.
In the northern hemisphere the direction of the north pole is indicated by theposition of the Pole star. This can be found by following the pointers in the group of stars known as the Great Bear or PloughThe star group is known as the Great Bear or Plough
If you are standing at the North Pole, the constellations will appear to rotate counterclockwise around the North Star (Polaris). This is because the North Star is directly above the North Pole, and as the Earth rotates on its axis, the stars appear to move in circles around it.
The fact that the Pole Star appears higher in the sky as you move towards the North Pole and lower as you move towards the equator indicates that the Earth is curved. The only shape that fits this observation is a sphere.