Phrase guide

Carlyle circle

noun · 1 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

Each Play button uses your device's default local English voice, or a natural local fallback. The selected voice name appears after playback. This is synthesized speech, not a source recording.

No pronunciation record was provided for this word.

1

noun

Meaning 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.

Definition source: English Wiktionary via Wiktextract

Topics: mathematics, sciences

Examples

  • Carlyle circles have been used to develop ruler-and-compass constructions of regular polygons.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

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