incircle en · NOUN
Pronunciation
- (US) audio
Etymology
Etymology tree Proto-Indo-European *né Proto-Indo-European *n̥- Proto-Italic *n̥- Latin in-bor. Middle English in- English in- Proto-Indo-European *(s)ker-der. Ancient Greek κίρκος (kírkos)bor. Latin circus Proto-Indo-European *-lós Proto-Indo-European *-elós Proto-Italic *-elos Latin -ulus Latin circulus Old French cerclebor. Middle English circle English circle English incircle From in- + circle.
Meanings
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A circle within a polygon, especially a triangle, that is tangent to each side.
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.
2012, Tom M. Apostol, Mamikon A. Mnatsakanian, New Horizons in Geometry, Mathematical Association of America, page 106:Having constructed K, the incircle of the quadrilateral can be easily constructed since it is tangent to BA and BC.
2005, István Reiman, International Mathematical Olympiad: 1959-1975, page 51:To construct the incircle of ΔABC, we need the center of the circle and a pass-through point.
2003, Clark Kimberling, Geometry in Action: A Discovery Approach Using the Geometer's Sketchpad, page 16:
Forms
| Spelling | Features | Labels | Source |
|---|---|---|---|
| incircles | Number=Plur | lexicographic |
Relateds
incenter · insphere · incentre · inradius
Synonyms
inscribed circle (circle tangent to all sides)
Translations (17)
bg вписана окръжност (the circle within a polygon that is tangent to each side) · pt círculo inscrito (the circle within a polygon that is tangent to each side) · hu beírt kör (the circle within a polygon that is tangent to each side) · vi đường tròn nội tiếp (the circle within a polygon that is tangent to each side) · de Inkreis (the circle within a polygon that is tangent to each side) · el εγγεγραμμένος κύκλος (the circle within a polygon that is tangent to each side) · fi sisään piirretty ympyrä (the circle within a polygon that is tangent to each side) · cmn 內接圓 /内接圆 (the circle within a polygon that is tangent to each side) · cs kružnice vepsaná (the circle within a polygon that is tangent to each side) · yue 內接圓 /内接圆 (the circle within a polygon that is tangent to each side) · sv invändig tangeringscirkel (the circle within a polygon that is tangent to each side) · yue 內切圓 /内切圆 (the circle within a polygon that is tangent to each side) · fi sisäympyrä (the circle within a polygon that is tangent to each side) · ja 内接円 (the circle within a polygon that is tangent to each side) · cmn 內切圓 /内切圆 (the circle within a polygon that is tangent to each side) · fr cercle inscrit (the circle within a polygon that is tangent to each side) · ko 내접원 (the circle within a polygon that is tangent to each side)