The crossword solutions for the term 'DIMINISH, with 'DOWN'' are 'WEAR' and 'PARE'. The term 'DIMINISH' means to reduce in size, amount, or degree. The word 'DOWN' is often used to indicate a decrease or reduction. Therefore, the solutions 'WEAR' and 'PARE' both refer to a decrease in size or amount. 'WEAR' can refer to the gradual decrease in size of an object due to use or age, while 'PARE' can refer to the act of cutting away or reducing something.