<Li> Archimedes' principle </Li> <Li> Archimedes' screw </Li> <Tr> <Td_colspan="2"> Scientific career </Td> </Tr> <Tr> <Th> Fields </Th> <Td> <Ul> <Li> Mathematics </Li> <Li> Physics </Li> <Li> Engineering </Li> <Li> Astronomy </Li> <Li> Invention </Li> </Ul> </Td> </Tr>

Who was the ancient greek mathematician renowned for his musical experiments