I have had this copy of Arabian Nights, collected by Andrew Lang, published around 1960 in Great Britain, in which the illustrations were done by Vera Bock. I have always been mesmerized by them. I would like to know what this style/technique is called, if it has a name. A reverse image search just returns other illustrations from the same book and I haven't been able to find a name/term/style that I can use as a search term. I want to be able to search for other similar works of art, including other artists.
Other than very generic terms such as line art, not every style of illustration has a specific name.
I'd suggest this style is probably somewhat unique to the artist. There are obvious Art-Deco influences, indicative of the era of Vera Bock's formative years (1920-30s). However, her illustrations of Lang's "Arabian Nights" date to 1946.
I suppose you could describe these as Art Deco influenced line art illustrations.