excircle
excircle noun: an escribed circle; a circle outside a polygon (especially a triangle, but also sometimes a quadrilateral) that is tangent to each of the lines on which the sides of the polygon lie.
Noun
excircle (plural excircles)
- An escribed circle; a circle outside a polygon (especially a triangle, but also sometimes a quadrilateral) that is tangent to each of the lines on which the sides of the polygon lie.
- Also since the circle of inversion cuts both excircles orthogonally, each excircle inverts into itself.1979, Dan Pedoe, Circles: A Mathematical View, published 1995, page 10
- Extend the sides of triangle QRS and construct the three excircles: One excircle is tangent to side QR and rays SQ and SR; one excircle is tangent to side SR and rays QS and QR; and one excircle is tangent to side SQ and rays RS and RQ.1999, Art Johnson, Famous Problems and Their Mathematicians, Teacher Ideas Press, page 174
excircle meaning in Tamil and Vietnamese
excircle in Tamil
- வெளி வட்டம், வெளிவட்டம்
excircle in Vietnamese
- escribed circle
- đường tròn bàng tiếp
Forms of excircle
| plural | excircles |
|---|
Origin of excircle
From ex- + circle.
Questions about excircle
- What does excircle mean?
- Excircle means an escribed circle; a circle outside a polygon (especially a triangle, but also sometimes a quadrilateral) that is tangent to each of the lines on which the sides of the polygon lie.
- What is excircle in Tamil?
- Excircle in Tamil is வெளி வட்டம், வெளிவட்டம். See Excircle meaning in Tamil.
- What part of speech is excircle?
- Excircle is a noun.
- What is the plural of excircle?
- The plural of excircle is excircles.
Words near excircle in the dictionary
Source and license
Adapted from Wiktionary: excircle (page history and authors); excircle (Tamil Wiktionary) (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.
Last updated:
Pronunciation audio from Wikimedia Commons, each file under its own free license: LL-Q1860 (eng)-Flame, not lame-excircle.wav.
Cite this entry: “excircle.” Word.ws, https://word.ws/excircle. Based on Wiktionary, CC BY-SA 4.0.