construction of contraharmonic mean of two segments

Let a and b two line segmentsMathworldPlanetmath (and their ).  The contraharmonic mean


satisfying the proportion equation


can be constructed geometrically ( as the third proportional of the segments a+b and a2+b2, the latter of which is gotten as the hypotenuseMathworldPlanetmath of the right triangleMathworldPlanetmath with catheti a and b.  See the construction of fourth proportional.


(The dotted lines are parallelMathworldPlanetmathPlanetmath, with declivity 45.)

Title construction of contraharmonic mean of two segments
Canonical name ConstructionOfContraharmonicMeanOfTwoSegments
Date of creation 2013-03-22 19:12:34
Last modified on 2013-03-22 19:12:34
Owner pahio (2872)
Last modified by pahio (2872)
Numerical id 8
Author pahio (2872)
Entry type Example
Classification msc 51M15
Classification msc 51-00
Related topic ContraharmonicProportion
Related topic HarmonicMeanInTrapezoid