Kepler Triangle - Relation To Arithmetic, Geometric, and Harmonic Mean

Relation To Arithmetic, Geometric, and Harmonic Mean

For positive real numbers a and b, their arithmetic mean, geometric mean, and harmonic mean are the lengths of the sides of a right triangle if and only if that triangle is a Kepler triangle.

Read more about this topic:  Kepler Triangle

Famous quotes containing the words relation to, relation and/or harmonic:

    The adolescent does not develop her identity and individuality by moving outside her family. She is not triggered by some magic unconscious dynamic whereby she rejects her family in favour of her peers or of a larger society.... She continues to develop in relation to her parents. Her mother continues to have more influence over her than either her father or her friends.
    Terri Apter (20th century)

    The proper study of mankind is man in his relation to his deity.
    —D.H. (David Herbert)

    For decades child development experts have erroneously directed parents to sing with one voice, a unison chorus of values, politics, disciplinary and loving styles. But duets have greater harmonic possibilities and are more interesting to listen to, so long as cacophony or dissonance remains at acceptable levels.
    Kyle D. Pruett (20th century)