One of the mysteries of the English language finally explained.
The angle at a vertex of a solid body; specifically (a) the angle between two diametrically opposite edges or surfaces at the tip of a tool; (b) Dentistry the angle formed at the junction of three tooth surfaces or three cavity walls.
Mid 19th century; earliest use found in Charles Boutell (1812–1877), writer on heraldry and antiquities. From point + angle.
point angle/ˈpɔɪnt ˌaŋɡl/
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