See incircle in All languages combined, or Wiktionary
Download JSON data for incircle meaning in English (7.0kB)
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"ref": "2003, Clark Kimberling, Geometry in Action: A Discovery Approach Using the Geometer's Sketchpad, page 16",
"text": "To construct the incircle of ΔABC, we need the center of the circle and a pass-through point.",
"type": "quotation"
},
{
"ref": "2005, István Reiman, International Mathematical Olympiad: 1959-1975, page 51",
"text": "Having constructed K, the incircle of the quadrilateral can be easily constructed since it is tangent to BA and BC.",
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{
"ref": "2012, Tom M. Apostol, Mamikon A. Mnatsakanian, New Horizons in Geometry, Mathematical Association of America, page 106",
"text": "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.",
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"raw_glosses": [
"(geometry) A circle within a polygon, especially a triangle, that is tangent to each side."
],
"related": [
{
"word": "incentre"
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{
"word": "incenter"
},
{
"word": "inradius"
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{
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{
"sense": "circle tangent to all sides",
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{
"code": "bg",
"lang": "Bulgarian",
"roman": "vpisana okrǎžnost",
"sense": "the circle within a polygon that is tangent to each side",
"tags": [
"feminine"
],
"word": "вписана окръжност"
},
{
"code": "yue",
"lang": "Chinese Cantonese",
"sense": "the circle within a polygon that is tangent to each side",
"word": "內接圓"
},
{
"code": "yue",
"lang": "Chinese Cantonese",
"roman": "noi⁶ zip³ jyun⁴",
"sense": "the circle within a polygon that is tangent to each side",
"word": "内接圆"
},
{
"code": "yue",
"lang": "Chinese Cantonese",
"sense": "the circle within a polygon that is tangent to each side",
"word": "內切圓"
},
{
"code": "yue",
"lang": "Chinese Cantonese",
"roman": "noi⁶ cit³ jyun⁴",
"sense": "the circle within a polygon that is tangent to each side",
"word": "内切圆"
},
{
"code": "cmn",
"lang": "Chinese Mandarin",
"sense": "the circle within a polygon that is tangent to each side",
"word": "內接圓"
},
{
"code": "cmn",
"lang": "Chinese Mandarin",
"roman": "nèijiēyuán",
"sense": "the circle within a polygon that is tangent to each side",
"word": "内接圆"
},
{
"code": "cmn",
"lang": "Chinese Mandarin",
"sense": "the circle within a polygon that is tangent to each side",
"word": "內切圓"
},
{
"code": "cmn",
"lang": "Chinese Mandarin",
"roman": "nèiqiēyuán",
"sense": "the circle within a polygon that is tangent to each side",
"word": "内切圆"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "the circle within a polygon that is tangent to each side",
"word": "sisään piirretty ympyrä"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "the circle within a polygon that is tangent to each side",
"word": "sisäympyrä"
},
{
"code": "fr",
"lang": "French",
"sense": "the circle within a polygon that is tangent to each side",
"tags": [
"masculine"
],
"word": "cercle inscrit"
},
{
"code": "de",
"lang": "German",
"sense": "the circle within a polygon that is tangent to each side",
"tags": [
"masculine"
],
"word": "Inkreis"
},
{
"code": "el",
"lang": "Greek",
"roman": "engegramménos kýklos",
"sense": "the circle within a polygon that is tangent to each side",
"tags": [
"masculine"
],
"word": "εγγεγραμμένος κύκλος"
},
{
"code": "hu",
"lang": "Hungarian",
"sense": "the circle within a polygon that is tangent to each side",
"word": "beírt kör"
},
{
"code": "ja",
"lang": "Japanese",
"roman": "naisetsuen",
"sense": "the circle within a polygon that is tangent to each side",
"word": "内接円"
},
{
"code": "ko",
"lang": "Korean",
"roman": "naejeobwon",
"sense": "the circle within a polygon that is tangent to each side",
"word": "내접원"
},
{
"code": "pt",
"lang": "Portuguese",
"sense": "the circle within a polygon that is tangent to each side",
"tags": [
"masculine"
],
"word": "círculo inscrito"
},
{
"code": "sv",
"lang": "Swedish",
"sense": "the circle within a polygon that is tangent to each side",
"tags": [
"common-gender"
],
"word": "invändig tangeringscirkel"
},
{
"code": "vi",
"lang": "Vietnamese",
"sense": "the circle within a polygon that is tangent to each side",
"word": "đường tròn nội tiếp"
}
]
}
],
"wikipedia": [
"Incircle and excircles of a triangle"
],
"word": "incircle"
}
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{
"form": "incircling",
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"pos": "verb",
"senses": [
{
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{
"word": "encircle"
}
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"Archaic form of encircle."
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]
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"word": "excircle"
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{
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"word": "incircle"
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"text": "To construct the incircle of ΔABC, we need the center of the circle and a pass-through point.",
"type": "quotation"
},
{
"ref": "2005, István Reiman, International Mathematical Olympiad: 1959-1975, page 51",
"text": "Having constructed K, the incircle of the quadrilateral can be easily constructed since it is tangent to BA and BC.",
"type": "quotation"
},
{
"ref": "2012, Tom M. Apostol, Mamikon A. Mnatsakanian, New Horizons in Geometry, Mathematical Association of America, page 106",
"text": "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.",
"type": "quotation"
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],
"glosses": [
"A circle within a polygon, especially a triangle, that is tangent to each side."
],
"links": [
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"raw_glosses": [
"(geometry) A circle within a polygon, especially a triangle, that is tangent to each side."
],
"topics": [
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"mathematics",
"sciences"
]
}
],
"synonyms": [
{
"sense": "circle tangent to all sides",
"word": "inscribed circle"
}
],
"translations": [
{
"code": "bg",
"lang": "Bulgarian",
"roman": "vpisana okrǎžnost",
"sense": "the circle within a polygon that is tangent to each side",
"tags": [
"feminine"
],
"word": "вписана окръжност"
},
{
"code": "yue",
"lang": "Chinese Cantonese",
"sense": "the circle within a polygon that is tangent to each side",
"word": "內接圓"
},
{
"code": "yue",
"lang": "Chinese Cantonese",
"roman": "noi⁶ zip³ jyun⁴",
"sense": "the circle within a polygon that is tangent to each side",
"word": "内接圆"
},
{
"code": "yue",
"lang": "Chinese Cantonese",
"sense": "the circle within a polygon that is tangent to each side",
"word": "內切圓"
},
{
"code": "yue",
"lang": "Chinese Cantonese",
"roman": "noi⁶ cit³ jyun⁴",
"sense": "the circle within a polygon that is tangent to each side",
"word": "内切圆"
},
{
"code": "cmn",
"lang": "Chinese Mandarin",
"sense": "the circle within a polygon that is tangent to each side",
"word": "內接圓"
},
{
"code": "cmn",
"lang": "Chinese Mandarin",
"roman": "nèijiēyuán",
"sense": "the circle within a polygon that is tangent to each side",
"word": "内接圆"
},
{
"code": "cmn",
"lang": "Chinese Mandarin",
"sense": "the circle within a polygon that is tangent to each side",
"word": "內切圓"
},
{
"code": "cmn",
"lang": "Chinese Mandarin",
"roman": "nèiqiēyuán",
"sense": "the circle within a polygon that is tangent to each side",
"word": "内切圆"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "the circle within a polygon that is tangent to each side",
"word": "sisään piirretty ympyrä"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "the circle within a polygon that is tangent to each side",
"word": "sisäympyrä"
},
{
"code": "fr",
"lang": "French",
"sense": "the circle within a polygon that is tangent to each side",
"tags": [
"masculine"
],
"word": "cercle inscrit"
},
{
"code": "de",
"lang": "German",
"sense": "the circle within a polygon that is tangent to each side",
"tags": [
"masculine"
],
"word": "Inkreis"
},
{
"code": "el",
"lang": "Greek",
"roman": "engegramménos kýklos",
"sense": "the circle within a polygon that is tangent to each side",
"tags": [
"masculine"
],
"word": "εγγεγραμμένος κύκλος"
},
{
"code": "hu",
"lang": "Hungarian",
"sense": "the circle within a polygon that is tangent to each side",
"word": "beírt kör"
},
{
"code": "ja",
"lang": "Japanese",
"roman": "naisetsuen",
"sense": "the circle within a polygon that is tangent to each side",
"word": "内接円"
},
{
"code": "ko",
"lang": "Korean",
"roman": "naejeobwon",
"sense": "the circle within a polygon that is tangent to each side",
"word": "내접원"
},
{
"code": "pt",
"lang": "Portuguese",
"sense": "the circle within a polygon that is tangent to each side",
"tags": [
"masculine"
],
"word": "círculo inscrito"
},
{
"code": "sv",
"lang": "Swedish",
"sense": "the circle within a polygon that is tangent to each side",
"tags": [
"common-gender"
],
"word": "invändig tangeringscirkel"
},
{
"code": "vi",
"lang": "Vietnamese",
"sense": "the circle within a polygon that is tangent to each side",
"word": "đường tròn nội tiếp"
}
],
"wikipedia": [
"Incircle and excircles of a triangle"
],
"word": "incircle"
}
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"forms": [
{
"form": "incircles",
"tags": [
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},
{
"form": "incircling",
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"lang_code": "en",
"pos": "verb",
"related": [
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"word": "excircle"
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"senses": [
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"categories": [
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"Archaic form of encircle."
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"links": [
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"wikipedia": [
"Incircle and excircles of a triangle"
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"word": "incircle"
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This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-06 from the enwiktionary dump dated 2024-05-02 using wiktextract (f4fd8c9 and c9440ce). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.
If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.