angular defect
Word Rarity
Rare
Frequency: 3.29 in modern English
20
Scrabble Score
13
Letters
4
Syllables
11
Unique Chars
Meaning
noun
The amount by which the sum of the interior angles of a triangle is less than 180° (π radians); the amount by which the sum of the internal angles of a polygon is less than what would be expected on the Euclidean plane.
noun
The amount by which the total of the angles around a vertex of a polyhedron is less than 360° (2π radians).
noun
The angular displacement of a tooth from vertical.
Example Sentences
- "Prop. XVI. If the angular defects of two triangles are equal, the areas of the triangles are equal."
- "We have seen that under any reasonable definition of area, the angular defect of a triangle is proportional to its area."
- "In hyperbolic geometry, similar triangles do not exist and the area of a triangle is directly proportional to its angular defect[…]."
- "The angular defect clearly has something to do with curvature, because the larger it is, the more pointed the surface is at the vertex."
- "2014, C. R. Calladine, The Static-geometric Analogy in the Equations of Thin Shell Structures, W. Olszak, Thin Shell Theory: New Trends and Applications, page 294, Figure 4(c) shows a flattened view of a small part of the undeformed polygonalized S-surface, consisting of the triangles surrounding a particular vertex. When the S-surface is strained there will be a consequent change of angular defect, which we wish to calculate."
- "2015, Jan Guichelaar (translator and editor), Alex Van Den Brandhof, Arnout Jaspers (editors), Half a Century of Pythagoras Magazine, page 164, Theorem. For a spherical polyhedron the total angular defect equals 720°."
Inflected Forms
Synonyms
angular deficiency
angular deficit
amount by which the total of the total of the angles around a vertex of a polyhedron is less than 360°
vertical defect