English Dictionary

angular defect

noun

(geometry, non-Euclidean geometry) The amount by which the total of the interior angles of a triangle is less than 180° (π radians); the amount by which the total of the internal angles of a polygon is less than what would be expected on the Euclidean plane.

The triangle has an angular defect of 30 degrees.

意味（1）

(geometry, non-Euclidean geometry) The amount by which the total of the interior angles of a triangle is less than 180° (π radians); the amount by which the total of the internal angles of a polygon is less than what would be expected on the Euclidean plane.

Prop. XVI. If the angular defects of two triangles are equal, the areas of the triangles are equal.

意味（2）

(geometry) The amount by which the total of the angles around a vertex of a polyhedron is less than 360° (2π radians).

The angular defect clearly has something to do with curvature, because the larger it is, the more pointed the surface is at the vertex.

意味（3）

(dentistry, periodontics) The angular displacement of a tooth from vertical.

In most instances angular defects have accompanying infrabony pockets; infrabony pockets always have an underlying angular defect.