A telescope that uses both an eyepiece lens and a mirror is called a Cassegrain telescope.

Here's how it works:

* Primary mirror: A large concave mirror at the bottom of the telescope collects light from the sky.

* Secondary mirror: A smaller convex mirror is placed in the path of the light reflecting from the primary mirror. This mirror reflects the light back through a hole in the center of the primary mirror.

* Eyepiece lens: This lens is positioned near the top of the telescope and magnifies the image formed by the mirrors.

Cassegrain telescopes are popular because they are compact and versatile, making them a good choice for both amateur and professional astronomers.