Ornithologically, and etymologically, speaking....
the thread's title is correct. "Falcon" comes from the Latin falc- or falx, meaning sickle, and refers to their falculate - sickle-shaped - wings: slender and tapering to a very sharp point. The accipiters,or true hawks, of which the goshawk is the pre-eminent example, have short wings that are rounded at their ends, and allow their owners stunning agility, as this video testifies.
However....
the word "goshawk" is awkward and not well known; "falcon" is cool and ubiquitous.
Neat video, though!
BTW: Webster disagrees with this etymology, but I disagree with Webster.
