Sentence:  Blue <WSD>finesses</WSD> to the further boundary, intending to come to his partner next time with black, hoping that if yellow comes after these balls, he may pass the boundary and so lose the break. ... Black has now to play; he <WSD>finesses</WSD> to another boundary. 
Meaning of the word marked with <WSD> tags:  To play a ball out of the way of an opponent.