Unicorns and Pegasi

Ok there seems to be alot of confusion about unicorns because whenever i google unicorns images, i always end up with a few "winged unicorns", which ARE Pegasi (that IS the plural form, mind you). A pegasus and a unicorn are two different things! can't they get it through their thick heads! and just to prove my point.....on the right is a unicorn and on left is a pegasus.