WOLFRAM NOTEBOOK

WOLFRAM|DEMONSTRATIONS PROJECT

Pythagorean Means

​
purple, a
cyan, b
The Pythagorean means of
a
and
b
are the arithmetic mean
A=(a+b)/2
, the geometric mean
G=
ab
, and the harmonic mean
H=(2ab)/(a+b)
. Lines corresponding to
A
,
G
, and
H
can be constructed by ruler and compass. In the construction, the yellow segments are perpendicular. Change the lengths of the given lines to see how the Pythagorean means compare with each other.
Wolfram Cloud

You are using a browser not supported by the Wolfram Cloud

Supported browsers include recent versions of Chrome, Edge, Firefox and Safari.


I understand and wish to continue anyway »

You are using a browser not supported by the Wolfram Cloud. Supported browsers include recent versions of Chrome, Edge, Firefox and Safari.