# Arbelos 2b

Proposition: [i]To inscribe a chain of circles in the ring.[/i] ... but I would also like to shape the ring so that the inscribed circles make a closed chain... _____________________ Archimedes' Arbelos: [list] [*]1a. Inscribe a circle in the arc.[url]http://www.geogebratube.org/material/show/id/54105[/url] [*]1b. Tangent circles in the arc (Solution 1). [*]1c. Vector Reduction: [url]http://www.geogebratube.org/material/show/id/54557[/url] [*]1d. Ellipse from one parameter, scale and rotation:[url]http://www.geogebratube.org/material/show/id/55256[/url] [*]1e. Final Construction: [url]http://www.geogebratube.org/material/show/id/54592[/url] [*]2a. Let one circle enclose another. Inscribe a third circle in the ring: [url]http://www.geogebratube.org/material/show/id/54595[/url] [*][b]→2b. Tangent circles in the ring.[/b] [/list] 3. Cyclic Solution: [list] [*]3a. An outer ring of tangent circles: [url]http://www.geogebratube.org/material/show/id/55009[/url] [*]3b. Determine the projection. [*]3c. Final Construction: [url]http://www.geogebratube.org/material/show/id/55883[/url] [/list]

Resource Type
Activity
Tags
archimedes  pappus  projection  steiner
Target Group (Age)
19+
Language
English (United States)

GeoGebra version
4.2
Views
4294

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