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

Plane Geometry: Arbelos, Theorems and Problems
 

Arbelos, Theorems and Problems: Index

Arbelos, Theorems and Problems Index

Archimedes Book of Lemmas Proposition 4

Arbelos Definition by Archimedes
Three Semicircles, Tangent, Diameters.

Archimedes Book of Lemmas Proposition 4

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

Archimedes Book of Lemmas Proposition 5

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

Archimedes Book of Lemmas Proposition 6

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

Archimedes Arbelos and Square

Archimedes Arbelos and Square 2. Dynamic Geometry Software.
Step-by-Step construction, Manipulation, and animation.

Archimedes Arbelos and Square

Archimedes Arbelos and Square 1. Dynamic Geometry Software.
Step-by-Step construction, Manipulation, and animation.

Geometry Expressions

Geometry Expressions.
Arbelos and Archimedean Twins.

Geometry problem 1301

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

Geometry problem 1300

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

Geometry problem 1298

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

Geometry problem 1297

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

Geometry problem 1168

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

Geometry Problem 1071

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

Geometry Problem 1048

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

Geometry Problem 989

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

Triangle, Incircle, Arbelos, Area

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

Circle Area, Tangent 

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

Semicircle, Perpendicular, Inscribed Circle, Tangent, Congruence

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

Arbelos, Circle, Concyclic Points

Geometry Problem 638
Arbelos and Inscribed Circle: Concyclic Points.

Semicircle, Perpendicular, Inscribed Circle, Tangent, Chord

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

Semicircle, Perpendicular, Inscribed Circle, Tangent

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

Semicircle, Perpendicular, Inscribed Circle, Radius

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

Circle Area, Tangent

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

Archimedes Twin, Harmonic mean

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

Circle area problem. Elearning 100

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

Archimedes Book of Lemas

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

 

Home | SearchGeometry | Circles | Semicircle | Tangent Circles | Post a comment | Email | By Antonio Gutierrez
Last updated: Mar 23, 2017