I always thought this meant "to cut" as in why a caesarean operation to birth something through an incision is so named. With this in mind I find the idea of it meaning "hairy" a bit confusing!
― Anonymous User 7/5/2019
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I was so sure it meant 'sky king' or something like that, because the 'cae' part was so similar to the Latin word for 'sky.' ;o;
Caesar himself believed it meant 'elephant killer' from a north African language. This was because an ancestor killed an enemy elephant during the first Punic War against Carthage. An elephant appears on coins issued by Caesar.