

Plane Geometry: Arbelos, Theorems and Problems.
Level: High School, College

Arbelos, Theorems and Problems: Index




Arbelos Definition by Archimedes
Three Semicircles, Tangent,
Diameters.


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


Archimedes' Book of Lemmas: Proposition 5
Arbelos, Archimedean Twins,
Semicircles, Circles


Archimedes' Book of Lemmas: Proposition 6
Arbelos, Semicircles, Circle.


Archimedes Arbelos and Square 2.
Dynamic Geometry Software.
StepbyStep construction, Manipulation, and animation. 

Archimedes Arbelos and Square 1.
Dynamic Geometry Software.
StepbyStep construction, Manipulation, and animation. 

Geometry Expressions.
Arbelos and Archimedean Twins. 

Geometry Problem 1301.
Arbelos, Semicircles, Diameters, Circle, Incircle, Incenter, Square, Midpoint, Concurrency. 

Geometry Problem 1300.
Arbelos, Semicircles, Diameters, Circle, Incircle, Tangent, Perpendicular, Concurrent Lines. 

Geometry Problem 1298.
Arbelos, Semicircles, Diameters, Circle, Incircle, Tangent, Angle Bisector, Perpendicular, Midpoint. 

Geometry Problem 1297.
Arbelos, Semicircles, Diameters, Tangent, Angle Bisector. 

Geometry Problem 1168
Construction of the Inscribed Circle of the Arbelos, Semicircles, Diameter, Circle, Triangle, Circumcircle, Tangent. 

Geometry Problem
1071.
Arbelos, Semicircles, Diameter, Circle, Perpendicular, Common Tangent, Parallel, Collinear Points, 90 Degrees,
Midpoint. 

Geometry Problem
1048.
Circles, Tangent, Perpendicular, Diameter, Angle Bisector. 

Geometry Problem 989.
Arbelos, Semicircles, Diameter, Perpendicular, 90 Degree, Common External Tangent, Rectangle, Midpoint of Arc. 

Geometry Problem
815.
Triangle, Incircle, Semicircles, Arbelos, Area. 

Geometry Problem
812.
Four Tangent Circles, Common Tangent Line, Diameter, Area, Collinear Centers. 

Geometry Problem 639
Semicircle, Diameter, Perpendicular, Inscribed Circle, Tangent, Arbelos, Congruence. 

Geometry Problem 638
Arbelos and Inscribed Circle: Concyclic Points. 

Geometry Problem 637
Semicircle, Diameter, Perpendicular, Inscribed Circle, Chord, Tangent, Arbelos. 

Geometry Problem 636
Semicircle, Diameter, Perpendicular, Inscribed Circle, Common Tangent, Arbelos. 

Geometry Problem 635
Semicircle, Diameter, Perpendicular, Inscribed Circle, Radius, Arbelos. 

Geometry Problem
600
Circle, Area, Tangent, Semicircle, Tangency Point. 

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

Proposed Problem 100.
Circle
Area, Archimedes' Book of Lemmas, Arbelos.


Archimedes'
Book of Lemmas
Exercise your brain. Archimedes wrote
the
"Book of Lemmas" more than 2200 years ago. 






