'ageometrical' originates from the prefix 'a-' meaning 'not' or 'without' and the word 'geometrical' from Greek 'geōmetrikos', where 'geo-' meant 'earth' and 'metron' meant 'measure'.

'geōmetrikos' transformed into the Latin word 'geometricus', and eventually became the modern English word 'geometrical'. The prefix 'a-' was added to form 'ageometrical'.

Initially, 'geometrical' meant 'pertaining to geometry', and with the prefix 'a-', it evolved to mean 'not conforming to geometry'.