The telescope described is an optical telescope. If the primary optic is a mirror, it's a reflector, and it the primary optic is a lens, it's a refractor.
Eyepiece, Primary Mirror, Secondary Mirror, Prime Focus.
It contains an objective lens and a lens in the eyepiece of the telescope.
It is a paraboloid, which focusses the light from a star down to a single point which can then be looked at through the eye lens or eyepiece.
Front lens - objective Back lens - eyepiece
A barlow lens increases the magnification of the eyepiece usually by a factor of two.
The magnification, or power, at which a telescope is operating is a function of the focal length of the telescope's main (objective) lens (or primary mirror) and the focal length of the eyepiece employed.
Eyepiece, Primary Mirror, Secondary Mirror, Prime Focus.
The eyepiece of the telescope doesn't magnify the object, but it does magnifythe real image of the object that forms at the focus of the primary lens or mirror.
It contains an objective lens and a lens in the eyepiece of the telescope.
The "objective" lens (as opposed to the eyepiece).
A telescope eyepiece usually has 2 lenses in an astronomical telescope, and it is designed to give a magnified view of the virtual image produced at the focal point of the main lens.
A reflecting telescope only uses lenses in the eyepiece. Light is picked up and an image produced by using a concave parabolic mirror.
This type of telescope is often referred to as a Schmidt-Cassegrain telescope, and can be short and wide. They have an eyepiece that extends at a right angle from the body, and have a disk in the middle of the lens, behind which is the mirror.
-- A refracting telescope must have a lens, otherwise it's not a refracting telescope. -- A reflecting telescope can be constructed without any lens, but if you intend to look through it, then you'll use a little lens for the eyepiece.
It is a paraboloid, which focusses the light from a star down to a single point which can then be looked at through the eye lens or eyepiece.
Front lens - objective Back lens - eyepiece
A barlow lens increases the magnification of the eyepiece usually by a factor of two.