Difference between revisions of "Ptolemy's Inequality"
m (Ptolemy inequality moved to Ptolemy's Inequality: fixed name) |
m (A link to 'cyclic quadrilateral' in case someone doesn't know what it is.) |
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− | Ptolemy's inequality for a convex quadrilateral ABCD states that AB·CD + BC·DA ≥ AC·BD with equality iff ABCD is a cyclic quadrilateral. | + | Ptolemy's inequality for a convex quadrilateral ABCD states that AB·CD + BC·DA ≥ AC·BD with equality iff ABCD is a [[cyclic quadrilateral]]. |
Revision as of 15:52, 20 June 2006
Ptolemy's inequality for a convex quadrilateral ABCD states that AB·CD + BC·DA ≥ AC·BD with equality iff ABCD is a cyclic quadrilateral.