The English Vocabulary Profile entry:
be at/on the point of doing sth = B2 to be going to do something very soon
The English Grammar Profile B2 Point 57 in the category of FUTURE in the past is defined as:
‘simple past form of ‘be’ + ‘on the point of’ + ‘-ing’ to talk about things that were expected to happen soon after a point in the past
GSE 71 B2+
‘on the point of’ (Br Eng) to talk about imminent events in the present and past. immediate future with ‘on the point of’ + gerund
For example:
I was just on the point of calling you.
1 WAS ON THE POINT OF BEING 53
2 WAS ON THE POINT OF GIVING 25
3 WAS ON THE POINT OF GOING 21
4 WAS ON THE POINT OF LEAVING 20
5 WERE ON THE POINT OF BEING 17
6 WAS ON THE POINT OF MAKING 16
7 WAS ON THE POINT OF TAKING 16
8 WAS ON THE POINT OF FALLING 13
9 WAS ON THE POINT OF DOING 12
10 WAS ON THE POINT OF ENTERING 11
11 WERE ON THE POINT OF LEAVING 9
12 WAS ON THE POINT OF SAYING 8
13 WAS ON THE POINT OF TELLING 8