I doubt you could project a bear with an overhead projector though, there's no way one would fit. Not even a small bear. You'd need a specially adapted overhead projector. One of these was developed for just this task in late 80s, at Michigan State. It was so bright that it could be seen in Canada.
Alas, work on this Next Generation Heavy Animal Projector (NG-HAP) was discontinued after four work-study students involved in the project were never seen again. It wasn't so much that they were eaten (and they probably were), but any US university needs young people who will handle dangerous chemicals (and animals) for minimum wage and study credits. These are a finite and treasured resource.
Rumour has it that Los Alamos has one of the prototype NG-HAPs, but they're keeping quiet about it. It goes without saying, but there are stories about the Russians developing their own version, powered by a nuclear bulb and allegedly capable of projecting a small elephant onto a nearby wall. Unfortunately, Unnamed City Number 35 was depopulated in the early 90s after an 'entirely unrelated accident.'