The Extreme-Ultraviolet Imaging Telescope (EIT) will be launched on-board the Solar Heliospheric Observatory (SOHO) in 1996. Images in four narrow bandpasses at wavelengths ranging from 17 to 31 nm will be obtained using normal incidence multilayered optics deposited on quadrants of a Ritchey-Chretien Telescope. The design of the telescope is discussed in detail and actual performances measured on a 2/3 scale mock up are reported.