(from wikipedia)
Empathic but not sympathetic, by internally experiencing another's feeling but not being motivated to alleviating action as a result (eg, a lust killer who is aroused by his victim's fear, or a con artist who knows how his mark feels but uses it to manipulate not support).
Sympathetic but not empathic by realising (perhaps cognitively) someone is upset and wanting to alleviate that, but not experiencing their sense of upset directly and internally as an emotional state within themselves (eg, a person at a help desk who sees another in distress, does not feel distress themselves, but tries to find what is wrong and help them anyway).
