{prep.} Very near to; almost at or in. * /When Mary broke her favorite bracelet, she was at the point of tears./ * /The boy hurt in the accident lay at the point of death for a week, then he got well./ Compare: ABOUT TO(1), ON THE POINT OF.
AT THE POINT OF
Meaning of AT THE POINT OF in English
Dictionary of English idioms . Словарь английских идиом. 2012