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- Aristotles_wheel_paradox abstract "Aristotle's wheel paradox is a paradox from the Greek work Mechanica traditionally attributed to Aristotle. There are two wheels, one within the other, whose rims take the shape of two circles with different diameters. The wheels roll without slipping for a full revolution. The paths traced by the bottoms of the wheels are straight lines, which are apparently the wheels' circumferences. But the two lines have the same length, so the wheels must have the same circumference, contradicting the assumption that they have different sizes: a paradox.The fallacy is the assumption that the smaller wheel indeed traces out its circumference, without ensuring that it, too, rolls without slipping on a fixed surface. In fact, it is impossible for both wheels to perform such motion. Physically, if two joined concentric wheels with different radii were rolled along parallel lines then at least one would slip; if a system of cogs were used to prevent slippage then the wheels would jam. A modern approximation of such an experiment is often performed by car drivers who park too close to a curb. The car's outer tire rolls without slipping on the road surface while the inner hubcap both rolls and slips across the curb; the slipping is evidenced by a screeching noise.Alternatively, the fallacy is the assumption that the smaller wheel is independent of the larger wheel. Imagine a tire as the larger wheel, and imagine the smaller wheel as the interior circumference of the tire and not as the rim. The movement of the inner circle is dependent on the larger circle. Thus its movement from any point to another can be calculated by using an inverse of their ratio.".
- Aristotles_wheel_paradox thumbnail Aristotles_wheel.svg?width=300.
- Aristotles_wheel_paradox wikiPageExternalLink toc.cgi?page=1106;dir=hutto_dicti_078_en_1795;step=textonly.
- Aristotles_wheel_paradox wikiPageID "2439294".
- Aristotles_wheel_paradox wikiPageLength "2437".
- Aristotles_wheel_paradox wikiPageOutDegree "16".
- Aristotles_wheel_paradox wikiPageRevisionID "676139382".
- Aristotles_wheel_paradox wikiPageWikiLink Ancient_Greece.
- Aristotles_wheel_paradox wikiPageWikiLink Aristotle.
- Aristotles_wheel_paradox wikiPageWikiLink Car.
- Aristotles_wheel_paradox wikiPageWikiLink Category:Aristotle.
- Aristotles_wheel_paradox wikiPageWikiLink Category:Circles.
- Aristotles_wheel_paradox wikiPageWikiLink Category:Physical_paradoxes.
- Aristotles_wheel_paradox wikiPageWikiLink Category:Wheels.
- Aristotles_wheel_paradox wikiPageWikiLink Circle.
- Aristotles_wheel_paradox wikiPageWikiLink Circumference.
- Aristotles_wheel_paradox wikiPageWikiLink Diameter.
- Aristotles_wheel_paradox wikiPageWikiLink Fallacy.
- Aristotles_wheel_paradox wikiPageWikiLink Mechanics_(Aristotle).
- Aristotles_wheel_paradox wikiPageWikiLink Paradox.
- Aristotles_wheel_paradox wikiPageWikiLink Wheel.
- Aristotles_wheel_paradox wikiPageWikiLink File:Aristotles_wheel.svg.
- Aristotles_wheel_paradox wikiPageWikiLinkText "Aristotle's wheel paradox".
- Aristotles_wheel_paradox hasPhotoCollection Aristotles_wheel_paradox.
- Aristotles_wheel_paradox title "Aristotle's Wheel Paradox".
- Aristotles_wheel_paradox urlname "AristotlesWheelParadox".
- Aristotles_wheel_paradox wikiPageUsesTemplate Template:Elementary-geometry-stub.
- Aristotles_wheel_paradox wikiPageUsesTemplate Template:MathWorld.
- Aristotles_wheel_paradox wikiPageUsesTemplate Template:Reflist.
- Aristotles_wheel_paradox subject Category:Aristotle.
- Aristotles_wheel_paradox subject Category:Circles.
- Aristotles_wheel_paradox subject Category:Physical_paradoxes.
- Aristotles_wheel_paradox subject Category:Wheels.
- Aristotles_wheel_paradox hypernym Paradox.
- Aristotles_wheel_paradox comment "Aristotle's wheel paradox is a paradox from the Greek work Mechanica traditionally attributed to Aristotle. There are two wheels, one within the other, whose rims take the shape of two circles with different diameters. The wheels roll without slipping for a full revolution. The paths traced by the bottoms of the wheels are straight lines, which are apparently the wheels' circumferences.".
- Aristotles_wheel_paradox label "Aristotle's wheel paradox".
- Aristotles_wheel_paradox sameAs مفارقة_دولاب_أرسطو.
- Aristotles_wheel_paradox sameAs Παράδοξο_του_τροχού.
- Aristotles_wheel_paradox sameAs פרדוקס_הגלגל_של_אריסטו.
- Aristotles_wheel_paradox sameAs m.07d35n.
- Aristotles_wheel_paradox sameAs Q3561493.
- Aristotles_wheel_paradox sameAs Q3561493.
- Aristotles_wheel_paradox wasDerivedFrom Aristotles_wheel_paradoxoldid=676139382.
- Aristotles_wheel_paradox depiction Aristotles_wheel.svg.
- Aristotles_wheel_paradox isPrimaryTopicOf Aristotles_wheel_paradox.