Illustrate Greek mathematician moving his line, reflecting his character (9)
I believe the answer is:
elucidate
'illustrate' is the definition.
(thesaurus)
'greek mathematician moving his line reflecting his character' is the wordplay.
I cannot quite understand how this works, but
'line' could be 'date' (date line is a kind of line) and 'date' is present in the answer.
'character' could be 'u' and 'u' is located in the answer.
This explanation may well be incorrect...
Can you help me to learn more?
(Other definitions for elucidate that I've seen before include "Shed light upon" , "Make clear, explain" , "Shed light on, clarify" , "Make clear and more comprehensible" , "Throw light on a problem, make clear (9)" .)