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- Bonnesen's_inequality abstract "Bonnesen's inequality is an inequality relating the length, the area, the radius of the incircle and the radius of the circumcircle of a Jordan curve. It is a strengthening of the classical isoperimetric inequality.More precisely, consider a planar simple closed curve of length bounding a domain of area . Let and denote the radii of the incircle and the circumcircle. Bonnesen proved the inequalityThe term in the right hand side is known as the isoperimetric defect.Loewner's torus inequality with isosystolic defect is a systolic analogue of Bonnesen's inequality.".
- Bonnesen's_inequality wikiPageID "9719512".
- Bonnesen's_inequality wikiPageRevisionID "496300760".
- Bonnesen's_inequality hasPhotoCollection Bonnesen's_inequality.
- Bonnesen's_inequality subject Category:Elementary_geometry.
- Bonnesen's_inequality subject Category:Geometric_inequalities.
- Bonnesen's_inequality type Abstraction100002137.
- Bonnesen's_inequality type Attribute100024264.
- Bonnesen's_inequality type Difference104748836.
- Bonnesen's_inequality type GeometricInequalities.
- Bonnesen's_inequality type Inequality104752221.
- Bonnesen's_inequality type Quality104723816.
- Bonnesen's_inequality comment "Bonnesen's inequality is an inequality relating the length, the area, the radius of the incircle and the radius of the circumcircle of a Jordan curve. It is a strengthening of the classical isoperimetric inequality.More precisely, consider a planar simple closed curve of length bounding a domain of area . Let and denote the radii of the incircle and the circumcircle.".
- Bonnesen's_inequality label "Bonnesen's inequality".
- Bonnesen's_inequality sameAs m.02pq32_.
- Bonnesen's_inequality sameAs Q4942198.
- Bonnesen's_inequality sameAs Q4942198.
- Bonnesen's_inequality sameAs Bonnesen's_inequality.
- Bonnesen's_inequality wasDerivedFrom Bonnesen's_inequality?oldid=496300760.
- Bonnesen's_inequality isPrimaryTopicOf Bonnesen's_inequality.