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 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.

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

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

Perpendicular Chords. Index.
Theorems and Problems.

Geometry Online Glossary .
Geometry Glossary based on the new New York State mathematics standards initiative.