A system for aiming a projectile weapon includes a telescopic sight for use with a second sighting device, such as a reflex sight or other non-magnifying sight. The telescopic sight has an eye point spaced apart rearwardly from its eyepiece and positioned at a vertical plane containing a line of initial trajectory of the weapon to which the aiming system is mounted so that a line parallel to the line of initial trajectory does not intersect the eyepiece. The location of the eye point facilitates concurrent use of a second sighting device at a normal mounting height and viewable past the eyepiece, thereby allowing the viewer to change views between the telescopic sight and the second sighting device with little eye movement and essentially no head movement.