A Carlyle circle is a particular circle in a coordinate plane associated with a quadratic equation, named after the writer Thomas Carlyle. It has the property that the solutions of the quadratic equation appear as the horizontal coordinates of the points where the circle crosses the horizontal axis, and Carlyle circles have been used to build ruler and compass constructions of regular polygons. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/
Facts
Connections
Attributed To
Source Thomas Carlyle (Wikipedia)
In Branch
Source Wolfram MathWorld: Carlyle Circle
Is Kind Of Object
Principal Result Of
Source Thomas Carlyle (Wikipedia)
Sources
1. Carlyle Circle (Wikipedia)
Lead sectionQuote, Lead section
In mathematics, a Carlyle circle is a certain circle in a coordinate plane associated with a quadratic equation; it is named after Thomas Carlyle.
Thomas Carlyle (Wikipedia)
Principal Result Of: Thomas Carlyle, Lead paragraph 2
invented the Carlyle circle
Attributed To: Thomas Carlyle, Lead paragraph 2
invented the Carlyle circle
View the SourceWolfram MathWorld: Carlyle Circle
Wolfram MathWorldIn Branch: Algebra, Subject classificationsQuote, In Branch: Algebra, Subject classifications
Algebra General Algebra
Reader Challenges (0)
No disputes yet. Spotted an error or a better source? Open the first one.
Sign in to dispute this or suggest a correction.