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Harmonic Mean and Geometry - Table of Content

Harmonic Mean in Geometry

 

Geometric, Arithmetic, Harmonic Mean Relationship

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

Geometry problem 1126

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

Geometry Problem 1108

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

Problem 922

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

Triangle, Inradius, Exradii, Harmonic Mean

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

Triangle, Inradius, Exradii, Harmonic Mean

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

Triangle, Inradius, Altitudes, Harmonic Mean

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

Equilateral Triangle, Circumcircle, Chord, Harmonic Mean

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

Complete Quadrilateral, Triangle, Diagonal, Parallel, Similarity

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

Triangle, Rhombus, Harmonic Mean, 90 Degrees, Perpendicular

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

Trapezoid, Parallel, Harmonic Mean

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

Triangle, Parallel, Similarity, Harmonic Mean

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

Triangle, Parallel, Harmonic Mean

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

Circle, Semicircle, Chord, Diameter

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

Problem 305: Square and Triangle

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

Triangle and angle bisector of 120 degrees

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

Archimedes Twin, Harmonic mean

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

Tangent Circles, Harmonic Mean

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

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

 

 

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Last updated: Apr 2, 2017 by Antonio Gutierrez