What is another word for at the edge of?
Pronunciation: [at ðɪ ˈɛd͡ʒ ɒv] (IPA) 
At the edge of is a phrase that describes a location or situation where something can barely maintain its balance or keep from falling off. Some useful synonyms for this phrase may include the following: on the brink of, on the verge of, about to, almost, nearly, on the cusp of, teetering on, hanging by a thread, and close to falling. Each of these synonyms effectively captures the idea of something being precariously close to a tipping point. Knowing these synonyms can be helpful when trying to make your writing more varied and expressive. You can use these phrases interchangeably to create vivid and compelling descriptions of situations where something or someone is struggling to maintain their position.
