Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Aristotle's_wheel_paradox> ?p ?o. }
Showing items 1 to 39 of
39
with 100 items per page.
- Aristotle's_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.".
- Aristotle's_wheel_paradox thumbnail Aristotles_wheel.svg?width=300.
- Aristotle's_wheel_paradox wikiPageExternalLink toc.cgi?page=1106;dir=hutto_dicti_078_en_1795;step=textonly.
- Aristotle's_wheel_paradox wikiPageID "2439294".
- Aristotle's_wheel_paradox wikiPageRevisionID "587181369".
- Aristotle's_wheel_paradox hasPhotoCollection Aristotle's_wheel_paradox.
- Aristotle's_wheel_paradox title "Aristotle's Wheel Paradox".
- Aristotle's_wheel_paradox urlname "AristotlesWheelParadox".
- Aristotle's_wheel_paradox subject Category:Aristotle.
- Aristotle's_wheel_paradox subject Category:Circles.
- Aristotle's_wheel_paradox subject Category:Physical_paradoxes.
- Aristotle's_wheel_paradox subject Category:Wheels.
- Aristotle's_wheel_paradox type Abstraction100002137.
- Aristotle's_wheel_paradox type Attribute100024264.
- Aristotle's_wheel_paradox type Circle113873502.
- Aristotle's_wheel_paradox type Circles.
- Aristotle's_wheel_paradox type Communication100033020.
- Aristotle's_wheel_paradox type ConicSection113872975.
- Aristotle's_wheel_paradox type Contradiction107206887.
- Aristotle's_wheel_paradox type Ellipse113878306.
- Aristotle's_wheel_paradox type Falsehood106756407.
- Aristotle's_wheel_paradox type Figure113862780.
- Aristotle's_wheel_paradox type Message106598915.
- Aristotle's_wheel_paradox type Paradox106724559.
- Aristotle's_wheel_paradox type PhysicalParadoxes.
- Aristotle's_wheel_paradox type PlaneFigure113863186.
- Aristotle's_wheel_paradox type Shape100027807.
- Aristotle's_wheel_paradox type Statement106722453.
- Aristotle's_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.".
- Aristotle's_wheel_paradox label "Aristotle's wheel paradox".
- Aristotle's_wheel_paradox label "مفارقة دولاب أرسطو".
- Aristotle's_wheel_paradox sameAs Παράδοξο_του_τροχού.
- Aristotle's_wheel_paradox sameAs m.07d35n.
- Aristotle's_wheel_paradox sameAs Q3561493.
- Aristotle's_wheel_paradox sameAs Q3561493.
- Aristotle's_wheel_paradox sameAs Aristotle's_wheel_paradox.
- Aristotle's_wheel_paradox wasDerivedFrom Aristotle's_wheel_paradox?oldid=587181369.
- Aristotle's_wheel_paradox depiction Aristotles_wheel.svg.
- Aristotle's_wheel_paradox isPrimaryTopicOf Aristotle's_wheel_paradox.