Word Pronunciation & Dictionary

pedoe's inequality

Word Rarity Very rare

Frequency: Zipf frequency 0.00 in modern English

Syllables: pe-doe's inequal-i-ty
IPA

31

Scrabble Score

16

Letters

4

Syllables

13

Unique Chars

Meaning

name

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).

Etymology

Named after Daniel Pedoe.

Synonyms

Neuberg-Pedoe inequality

Questions

What does pedoe's inequality mean?: 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).
Where does pedoe's inequality come from?: Named after Daniel Pedoe.

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