Difference between Be on the verge of something and Verge on something

be on the verge of something—be on the point beyond which smth. bad happens:

• The country was on the verge of ruin; the revolution was a matter of months.

verge on something—

1. border on a particular area:

• The rear of the park verges on the river. You can see the railroad bridge downstream….

2. resemble smth.; be similar to smth.:

• To cling to this idea when it has been shown a thousand times to be erroneous verges on stupidity.