Word.ws English Dictionary

Carlyle circle

Carlyle circle noun: a certain circle in a coordinate plane associated with a quadratic equation, having the property that the solutions of the equation are the horizontal coordinates of the intersections of the circle with the horizontal axis.

Noun

Carlyle circle (plural Carlyle circles)

  1. A certain circle in a coordinate plane associated with a quadratic equation, having the property that the solutions of the equation are the horizontal coordinates of the intersections of the circle with the horizontal axis.
    • Carlyle circles have been used to develop ruler-and-compass constructions of regular polygons.

Forms of Carlyle circle

pluralCarlyle circles

Origin of Carlyle circle

The idea of using such a circle to solve a quadratic equation is attributed to Thomas Carlyle (1795–1881).

Questions about Carlyle circle

What does Carlyle circle mean?
Carlyle circle means a certain circle in a coordinate plane associated with a quadratic equation, having the property that the solutions of the equation are the horizontal coordinates of the intersections of the circle with the horizontal axis.
What part of speech is Carlyle circle?
Carlyle circle is a noun.
What is the plural of Carlyle circle?
The plural of Carlyle circle is Carlyle circles.

Words near Carlyle circle in the dictionary

  1. Carluccis
  2. Carluke
  3. carlumab
  4. Carly
  5. Carlyle
  6. Carlyle circle
  7. Carlyle circles
  8. Carlylean
  9. Carlyleian
  10. Carlylese
  11. Carlylesque

Source and license

Adapted from Wiktionary: Carlyle circle (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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Cite this entry: “Carlyle circle.” Word.ws, https://word.ws/carlyle_circle. Based on Wiktionary, CC BY-SA 4.0.