


Harmonic Mean and Geometry  Table of Content


In geometry, the harmonic mean is a mathematical concept that is used to find a point on a line segment that divides it into two parts in a specific ratio.
This technique is known as harmonic division and is based on the properties of a harmonic progression, which is a sequence of numbers that has a certain relationship between its terms.


Arithmetic Mean, Geometric Mean, Harmonic Mean, Root Mean Square. 

Geometry Problem 1126.
Equilateral Triangle, Circumcircle, Metric Relation, Harmonic Mean. 

Geometry Problem
1108.
Right Triangle, External Squares, Catheti, Cathetus, Congruence, Harmonic Mean. 

Geometry Problem 922.
Circle, Tangent Lines, Tangency Points, Chord, Secant, Harmonic Mean.


Geometry Problem 766
Triangle, Altitudes, Exradii, Three Exradius, Equal Harmonic Mean. 

Geometry Problem 765
Triangle, Inradius, Exradii, Three Exradius, Harmonic Mean. 

Geometry Problem 764
Triangle, Inradius, Altitudes, Harmonic Mean. 

Geometry Problem 757
Equilateral Triangle, Circumcircle, Chords, a Half of Harmonic Mean. 

Geometry Problem
750.
Complete Quadrilateral, Triangle, Diagonal, Parallel, Similarity, Metric Relations,
Harmonic Mean. 

Geometry Problem
749.
Triangle, Rhombus, Parallel, Harmonic Mean, Metric Relations. 

Geometry Problem
747.
Trapezoid, Diagonals, Parallel, Bases, Midpoint, Similarity, Harmonic Mean, Metric Relations. 

Geometry Problem
746.
Triangle, Cevian, Parallel, Similarity, Harmonic Mean, Metric Relations. 

Geometry Problem 389.
Triangle, Parallel lines, Harmonic Mean. 

Proposed Problem 311.
Circle Inscribed in a Semicircle, Chord, Diameter, Harmonic Mean. 

Proposed
Problem 305.
Square, Triangles, Angles, Sides, Harmonic Mean. 

Proposed Problem 304.
Triangle, Angle bisector of 120 degrees, Harmonic Mean. 

Geometry Problem 295.
Archimedean Twin Circles, Arbelos, Semicircles, Harmonic Mean, Radii,
Perpendicular. 

Geometry Problem 288.
Tangent circles, Harmonic Mean, Radius, Diameter. 

Geometry Problem 69. Square inscribed in a triangle, Base,
Altitude, Similarity, Harmonic Mean







