Draw the perpendicular line from the intersection of the two small semicircles in the arbelos. The two circles and tangent to this line, the large semicircle, and each of the two semicircles are then congruent and known as Archimedes’ circles.

For an arbelos with outer semicircle of unit radius and parameter , Archimedes’ circles have radii

p=½r (1-r)

and centers :

C1=(½r(1+r),r√r-1)

C2= ( ½r(3-r), (1-r)√r)

Here you can find free math home work and free online math tutors for students. If you want to get news about new free math courses and lessons please subscribe on it!

• Bacteriophage model
• Geomerty
• Free math mammoth
• Woocircle