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  2. Geometric mean - Wikipedia

    en.wikipedia.org/wiki/Geometric_mean

    Using the geometric mean theorem, triangle PGR's altitude GQ is the geometric mean. For any ratio a:b, AO ≥ GQ. Geometric proof without words that max (a,b) > root mean square (RMS) or quadratic mean (QM) > arithmetic mean (AM) > geometric mean (GM) > harmonic mean (HM) > min (a,b) of two distinct positive numbers a and b [note 1

  3. Geometric mean theorem - Wikipedia

    en.wikipedia.org/wiki/Geometric_mean_theorem

    In Euclidean geometry, the right triangle altitude theorem or geometric mean theorem is a relation between the altitude on the hypotenuse in a right triangle and the two line segments it creates on the hypotenuse. It states that the geometric mean of those two segments equals the altitude.

  4. AM–GM inequality - Wikipedia

    en.wikipedia.org/wiki/AM–GM_inequality

    The arithmetic mean, or less precisely the average, of a list of n numbers x 1, x 2, . . . , x n is the sum of the numbers divided by n: + + +. The geometric mean is similar, except that it is only defined for a list of nonnegative real numbers, and uses multiplication and a root in place of addition and division:

  5. Pythagorean means - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_means

    A geometric construction of the quadratic mean and the Pythagorean means (of two numbers a and b). Harmonic mean denoted by H, geometric by G, arithmetic by A and quadratic mean (also known as root mean square) denoted by Q. Comparison of the arithmetic, geometric and harmonic means of a pair of numbers.

  6. Intersecting chords theorem - Wikipedia

    en.wikipedia.org/wiki/Intersecting_chords_theorem

    In Euclidean geometry, the intersecting chords theorem, or just the chord theorem, is a statement that describes a relation of the four line segments created by two intersecting chords within a circle. It states that the products of the lengths of the line segments on each chord are equal. It is Proposition 35 of Book 3 of Euclid's Elements.

  7. Narcissists maintain control through ‘bright siding.’ Here’s ...

    www.aol.com/narcissists-maintain-control-bright...

    "Try to see the good in people." "Come on − he can't be that bad." "You should be grateful to even be in a relationship." If you've heard these phrases before, chances are you've been bright sided.

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