Question: What is the purpose of a telescope mount ?
About the article "Telescope", section "Types of mount".

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"See also List of solar telescopes"  The Einstein Tower ("Einsteinturm") became operational in 1924  McMath-Pierce Solar Telescope (1.6 m diameter, 1961–)  McMath-Hulbert Observatory (24"/61 cm diameter, 1941–1979)  Swedish Vacuum Solar Telescope (47.5 cm diameter, 1985–2000)  Swedish 1-m Solar Telescope (1 m diameter, 2002–)  Richard B. Dunn Solar Telescope (1.63 m diameter, 1969–)  Mount Wilson Observatory  Dutch Open Telescope (45 cm diameter, 1997–)  The Teide Observatory hosts multiple solar telescopes, including * the 70 cm Vacuum Tower Telescope (1989–) and * the 1.5 m GREGOR solar telescope nearing completion (, webcam).
Advanced Technology Solar Telescope, a planned telescope with 4m aperture.
[http://atst.nso.edu/]  European Solar Telescope, a future 4-meter class aperture telescope.
National Large Solar Telescope (NLST), is a Gregorian multi-purpose open telescope proposed to be built and Installed in India and aims to study the sun's microscopic structure.  
A telescope mount is a mechanical structure which supports a telescope.
Telescope mounts are designed to support the mass of the telescope and allow for accurate pointing of the instrument.
Many sorts of mounts have been developed over the years, with the majority of effort being put into systems that can track the motion of the stars as the Earth rotates.
The two main types of tracking mount are:
 Altazimuth mount
 Equatorial mount
The Pachmarhi Array of Cerenkov Telescope is set in an area 80 meter by 100 meter in 5x5 matrix.
Each telescope consists of 7 parabolic mirrors each with a diameter of 90 cm.
Each telescope is independently steerable on its equatorial mount.
It uses the wavefront sampling technique to detect TeV gamma rays. 
This is a 0.61m fork mounted reflecting telescope operating at f/16.
This telescope is used exclusively for CCD photometry.
It is currently being upgraded and commissioned for robotic use as part of the AAVSO's Robotic Telescope Network.
This is the AAVSO's first Southern Hemisphere telescope. 
La Silla also hosts several national and project telescopes not operated by ESO.
Among them are the Swiss 1.2-metre Euler Telescope, the Danish 1.54-metre telescope and the REM and TAROT telescopes.
The Euler Telescope is a 1.2-metre telescope built and operated by the Observatory of Geneva in Switzerland.
It is used to conduct high-precision radial velocity measurements primarily used in the search for large extrasolar planets in the southern celestial hemisphere.
Its first discovery was a planet orbiting Gliese 86.
Other observing programmes focus on variable stars, asteroseismology, gamma-ray bursts (GRB), monitoring active galactic nuclei (AGN) and gravitational lenses.
The 1.54-metre Danish telescope was built by Grubb-Parsons and has been in use at La Silla since 1979.
The telescope has an off-axis mount, and the optics are a Ritchey-Chrétien design.
Because of the telescope's mount and limited space inside the dome, it has significant pointing restrictions.
The Rapid Eye Mount Telescope (REM) is a small rapid-reaction automatic telescope with a primary mirror.
The telescope, in an altazimuth mount, began operation in October 2002.
The primary purpose of the telescope is to follow the afterglow of the GRBs detected by the Swift Gamma-Ray Burst Mission satellite.
The TAROT ("Télescope à Action Rapide pour les Objets Transitoires", "Quick-action telescope for transient objects") is a very fast-moving optical robotic telescope able to observe a gamma-ray burst from its beginning.
Satellites detecting GRBs send signals to TAROT, which can provide a sub-arc second position to the astronomical community.
Data from the TAROT telescope is also useful in studying the evolution of GRBs, the physics of a fireball and its surrounding material.