Cape

Cape meaning an item of clothing comes from 16th century French capa, from the Latin cappa, hood, from which we also get the word cap. The Latin word for cape was chlamyx, which survives in English only in technical words related to biological and medical matters.

Cape meaning a headland comes from 14th century cap, which comes from Latin caput, head. The Latin for cape in this sense was promunturium, from which we get promontory.