See nine-point circle on Wiktionary
{
"etymology_text": "So called because the circle passes through nine points of interest: the feet of the three altitudes, the centers of the three sides, and the midpoints of the segments which join the triangle's vertices with its orthocenter.",
"forms": [
{
"form": "nine-point circles",
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}
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"lang_code": "en",
"pos": "noun",
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{
"kind": "topical",
"langcode": "en",
"name": "Circle",
"orig": "en:Circle",
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"Geometry",
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"Formal sciences",
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{
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"name": "Curves",
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{
"kind": "topical",
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"name": "Nine",
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},
{
"kind": "topical",
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"name": "Trigonometry",
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],
"glosses": [
"That circle which passes through the feet of the altitudes of a given triangle."
],
"id": "en-nine-point_circle-en-noun-L-xUeiTe",
"links": [
[
"feet",
"foot"
],
[
"altitude",
"altitude"
],
[
"triangle",
"triangle"
]
],
"synonyms": [
{
"word": "nine points circle"
}
]
}
],
"word": "nine-point circle"
}
{
"etymology_text": "So called because the circle passes through nine points of interest: the feet of the three altitudes, the centers of the three sides, and the midpoints of the segments which join the triangle's vertices with its orthocenter.",
"forms": [
{
"form": "nine-point circles",
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"pos": "noun",
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{
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],
"glosses": [
"That circle which passes through the feet of the altitudes of a given triangle."
],
"links": [
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"feet",
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],
[
"altitude",
"altitude"
],
[
"triangle",
"triangle"
]
]
}
],
"synonyms": [
{
"word": "nine points circle"
}
],
"word": "nine-point circle"
}
Download raw JSONL data for nine-point circle meaning in All languages combined (1.0kB)
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-12-21 from the enwiktionary dump dated 2024-12-04 using wiktextract (d8cb2f3 and 4e554ae). 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.