Geometric Mean, Theorems and Problems - Table of Content

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

Right Triangles, Formulas and Facts
Pythagorean theorem, Similarity, Geometric mean, hypotenuse, catheti (legs), semiperimeter, altitude, median, similar shapes areas, centers, orthocenter, incenter, centroid, circumcenter, radius, inradius, circumradius, exradius, circles, incircle, circumcircle, excircle.

Archimedes' Book of Lemmas: Proposition 4
Semicircles, perpendicular to diameter, Arbelos. Geometric Mean.

Geometry Problem 1502.
Right Triangle, Incircle, Inradius, Geometric Mean of 2 Inradii, Angle Bisector, Perpendicular, Tangential Quadrilateral.

Geometry Problem 1436.
Right Triangle, Altitude, Excircles, Excenters, Geometric Mean, Measurement, Art, Poster, Typography, iPad Apps.

Geometry Problem 1434.
Equilateral Triangle, Tangent Circles, Tangent Lines, Arithmetic Mean, Measurement, Poster, Typography, iPad Apps.

Geometry Problem 1111.
Right Triangle, External Squares, Cathetus, Angle Bisector, Area, Geometric Mean.

Geometry Problem 1105.
Triangle, Incircle, Excircle, Cevian, Tangent, Congruence, Geometric Mean.

Geometry Problem 1103.
Right Triangle, Incircle, Inscribed Circle, Radius, Geometric Mean, Sangaku, Japanese, Metric Relations.

Geometry Problem 1095.
Externally Tangent Circles, Common Tangent, Radius, Metric Relations.

Geometry Problem 1020.
Circle, Tangent, Chord, Perpendicular, Geometric Mean.

Geometry Problem 1009.
Tangent Circles, Common External Tangent, Common Internal Tangent, Arithmetic Mean.

Geometry Problem 959.
Triangle, Sides Ratio 4:1, Inradius, Exradius, Cevian, Mean Proportional, Geometric Mean, Metric Relations.

Geometry Problem 834
Parallelogram, Diagonal, Similarity, Geometric Mean, Mean Proportional.

Geometry Problem 672.
Internally tangent circles, Chord, Tangent, Geometric Mean.

Proposed Problem 315.
Three Tangent circles, Common external tangent line, Geometric Mean.

Proposed Problem 314.
Tangent circles, Common external tangent line, Geometric Mean.

Proposed Problem 313.
Circle, Chord, Tangent, Perpendicular, Geometric Mean.

Proposed Problem 269.
Right Triangle, Altitude, Perpendicular, Projection, Geometric Mean.

Proposed Problem 266.
Right Triangle, Altitude, Geometric Mean.

Geometry Problem 264.
Right Triangle, Altitude, Leg projection, Hypotenuse, Similarity, Geometric mean.

Geometry Problem 220. Right Triangle, Altitude, Angle Bisector, Distance, Arithmetic Mean.

Geometry Problem 220. Right Triangle, Altitude, Angle Bisector, Distance, Arithmetic Mean.

Geometry Problem 219. Rhombus, Perpendiculars, Arithmetic Mean.

Problem 66: Triangle, Excircle, Tangents, Geometric Mean.
 

Problem 20.
Right triangle, altitude, incircles and inradii.

Perpendicular Chords. Index.
Theorems and Problems.