different between incircle vs incentre
incircle
English
Etymology
in- +? circle
Noun
incircle (plural incircles)
- (geometry) A circle within a polygon, especially a triangle, that is tangent to each side.
- 2003, Clark Kimberling, Geometry in Action: A Discovery Approach Using the Geometer's Sketchpad, page 16,
- To construct the incircle of ?ABC, we need the center of the circle and a pass-through point.
- 2005, István Reiman, International Mathematical Olympiad: 1959-1975, page 51,
- Having constructed K, the incircle of the quadrilateral can be easily constructed since it is tangent to BA and BC.
- 2012, Tom M. Apostol, Mamikon A. Mnatsakanian, New Horizons in Geometry, Mathematical Association of America, page 106,
- For example, in Figure 4.2a only two edges of the polygon are tangent to the incircle. The other four edges do not even touch the incircle, but their extensions, shown by dotted lines, are tangent to the incircle.
- 2003, Clark Kimberling, Geometry in Action: A Discovery Approach Using the Geometer's Sketchpad, page 16,
Usage notes
A triangle always has an incircle, whose centre (the incentre) is the point of concurrence of the angle bisectors. A polygon that has an incircle is called a circumscribed polygon or tangential polygon and is said to be inscribable.
Synonyms
- (circle tangent to all sides): inscribed circle
Related terms
- incentre / incenter
- inradius
- insphere
Translations
Verb
incircle (third-person singular simple present incircles, present participle incircling, simple past and past participle incircled)
- Archaic form of encircle.
See also
- excircle
- circumcircle
Anagrams
- circline
incircle From the web:
- what is incircle of a triangle
- what is incircle at neiman marcus
- what is a incircle radius
- how to find the incircle of a triangle
- how to calculate incircle of a triangle
incentre
English
Noun
incentre (plural incentres)
- (Britain) Alternative spelling of incenter
Anagrams
- incenter
incentre From the web:
- what is incentre of a triangle
- what is incentre circumcentre centroid orthocentre
- what is incentrev half off
- how to find the incentre of a triangle
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