Arbelos 2b
- Author:
- Ryan Hirst
Making use of Appolonius' Tangency Problem http://www.geogebratube.org/material/show/id/34645
[To Do: Correct the behavior when the foci trade places]
It is pretty, but I would like to shape the ring so that the inscribed circles make a closed chain.
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Archimedes' Arbelos:
- 1a. Inscribe a circle in the arc.http://www.geogebratube.org/material/show/id/54105
- 1b. Tangent circles in the arc (Solution 1).
- 1c. Vector Reduction: http://www.geogebratube.org/material/show/id/54557
- 1d. Ellipse from one parameter, scale and rotation:http://www.geogebratube.org/material/show/id/55256
- 1e. Final Construction: http://www.geogebratube.org/material/show/id/54592
- 2a. Let one circle enclose another. Inscribe a third circle in the ring: http://www.geogebratube.org/material/show/id/54595
- →2b. Tangent circles in the ring.
- 3a. An outer ring of tangent circles: http://www.geogebratube.org/material/show/id/55009
- 3b. Determine the projection.
- 3c. Final Construction: http://www.geogebratube.org/material/show/id/55883