Is it the Apollonius?
Geometry
Level
4
How many moves are required to draw a common tangent to the two circles which intersects at two distinct points?
- All constructions are to be done using straightedge and collapsible compass only.
- For the definitions of the terminology used, refer to this note.
- There are two circles, which intersects each other at two distinct points.
- Moves: Moves understand for the minimum possible , in which construction can be done.
- : A single time use of straightedge or collapsible compass is termed as
The answer is 12.
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1 solution
The red circles are the two given circles.
This is only the final construction. It is left over the reader to decode the each step of construction .