In wizardology where is the cloak of invisibility?

On the 1st page after the cover you see the titles written with just the symbol shown above it. This is the cloak of invisibility, I studied it at Oxford.

On the last page, Merlin is shown wearing the grand commodious coat with the symbol in the corner. Anyone who actually thinks this is an invisibility cloak is a retard

Tora: actually the commodious coat is being worn by the Lapp Shaman in chapter 4. the symbol is on the hem