  Schwarzschild-type aplanatic telescopes with two aspheric mirrors, configured
to correct spherical and coma aberrations, are considered for application in
gamma-ray astronomy utilizing the ground-based atmospheric Cherenkov technique.
We use analytical descriptions for the figures of primary and secondary mirrors
and, by means of numerical ray-tracing, we find telescope configurations which
minimize astigmatism and maximize effective light collecting area. It is shown
that unlike the traditional prime-focus Davies-Cotton design, such telescopes
provide a solution for wide field of view gamma-ray observations. The designs
are isochronous, can be optimized to have no vignetting across the field, and
allow for significant reduction of the plate scale, making them compatible with
finely-pixilated cameras, which can be constructed from modern, cost-effective
image sensors such as multi-anode PMTs, SiPMs, or image intensifiers.
