Word.ws English Dictionary

Pedoe's inequality

Pedoe's inequality proper noun: the observation that, if a, b, and c are the lengths of the sides of a triangle with area ƒ, and A, B, and C are the lengths of the sides of another triangle with area F, then A²(b²+c²-a²)+B²(a²+c²-b²)+C²(a²+b²-c²)≥16Ff,, with equality if and only if the two triangles are similar with pairs of corresponding sides (A, a), (B, b), and (C, c).

Proper noun

Pedoe's inequality

  1. The observation that, if a, b, and c are the lengths of the sides of a triangle with area ƒ, and A, B, and C are the lengths of the sides of another triangle with area F, then A²(b²+c²-a²)+B²(a²+c²-b²)+C²(a²+b²-c²)≥16Ff,, with equality if and only if the two triangles are similar with pairs of corresponding sides (A, a), (B, b), and (C, c).

Synonyms of Pedoe's inequality

Origin of Pedoe's inequality

Named after Daniel Pedoe.

Questions about Pedoe's inequality

What does Pedoe's inequality mean?
Pedoe's inequality means the observation that, if a, b, and c are the lengths of the sides of a triangle with area ƒ, and A, B, and C are the lengths of the sides of another triangle with area F, then A²(b²+c²-a²)+B²(a²+c²-b²)+C²(a²+b²-c²)≥16Ff,, with equality if and only if the two triangles are similar with pairs of corresponding sides (A, a), (B, b), and (C, c).
What part of speech is Pedoe's inequality?
Pedoe's inequality is a proper noun.

Words near Pedoe's inequality in the dictionary

  1. pedodontics
  2. pedodontist
  3. pedodontists
  4. pedodontology
  5. Pedoe
  6. Pedoe's inequality
  7. pedoecological
  8. pedoecology
  9. pedofeature
  10. pedofeatures
  11. pedogamy

Source and license

Adapted from Wiktionary: Pedoe's inequality (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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