triangularity (n.)

c. 1400, from Late Latin triangularis "triangular, pertaining to a triangle," from Latin triangulus "with three corners" (the usual adjective in classical Latin), as a noun, "a triangle;" see triangle. Related: Triangularly.

In the huts of witches all the instruments and implements are triangular. ["Handwörterbuch des deutschen Aberglaubens"]

word-forming element making abstract nouns from adjectives and meaning "condition or quality of being ______," from Middle English -ite, from Old French -ete (Modern French -ité) and directly from Latin -itatem (nominative -itas), suffix denoting state or condition, composed of -i- (from the stem or else a connective) + the common abstract suffix -tas (see -ty (2)).

Roughly, the word in -ity usually means the quality of being what the adjective describes, or concretely an instance of the quality, or collectively all the instances; & the word in -ism means the disposition, or collectively all those who feel it. [Fowler]