I often notice that the presence of an adjective causes an article to appear where, in the absence of the adjective, there would not be an article. For example: here's a quote from William Dunham's Euler the Master of Us All:
Hiding their secrets with an embarrassing ease, the integers provide a worthy challenge for the greatest of mathematicians.
Is this correct, appropriate, and what's the general rule governing this?
The solution was found with an example of embarrassing ease. This is true of countable and uncountable nouns.Edwin Ashworth took his examples from http://usefulenglish.ru/grammar/part-2-articles-with-uncountable-nouns-basic-rules, which is a useful site for speakers of languages that lack articles.
– Greybeard Mar 16 '20 at 18:34