See cross-ratio on Wiktionary
{
"etymology_templates": [
{
"args": {
"1": "en",
"2": "cross-",
"3": "ratio"
},
"expansion": "cross- + ratio",
"name": "af"
}
],
"etymology_text": "From cross- + ratio.",
"forms": [
{
"form": "cross-ratios",
"tags": [
"plural"
]
},
{
"form": "crossratio",
"tags": [
"alternative"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "cross-ratio (plural cross-ratios)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
"categories": [
{
"kind": "other",
"name": "English entries with incorrect language header",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "English terms prefixed with cross-",
"parents": [],
"source": "w"
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{
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},
{
"kind": "other",
"langcode": "en",
"name": "Geometry",
"orig": "en:Geometry",
"parents": [],
"source": "w"
}
],
"glosses": [
"A special number associated with an ordered quadruple of collinear points, particularly points on a projective line, and preserved by the fractional linear transformations."
],
"id": "en-cross-ratio-en-noun-cVa9HcDI",
"links": [
[
"geometry",
"geometry"
],
[
"number",
"number"
],
[
"ordered",
"ordered"
],
[
"quadruple",
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],
[
"collinear",
"collinear"
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[
"point",
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],
[
"projective",
"projective"
],
[
"line",
"line"
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[
"preserve",
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[
"fractional",
"fractional"
],
[
"linear",
"linear"
],
[
"transformation",
"transformation"
]
],
"raw_glosses": [
"(geometry) A special number associated with an ordered quadruple of collinear points, particularly points on a projective line, and preserved by the fractional linear transformations."
],
"synonyms": [
{
"word": "anharmonic ratio"
},
{
"word": "double ratio"
}
],
"topics": [
"geometry",
"mathematics",
"sciences"
],
"translations": [
{
"code": "fr",
"lang": "French",
"sense": "a special number associated with an ordered quadruple of collinear points, particularly points on a projective line, and preserved by the fractional linear transformations",
"tags": [
"masculine"
],
"word": "birapport"
}
],
"wikipedia": [
"cross-ratio"
]
}
],
"word": "cross-ratio"
}
{
"etymology_templates": [
{
"args": {
"1": "en",
"2": "cross-",
"3": "ratio"
},
"expansion": "cross- + ratio",
"name": "af"
}
],
"etymology_text": "From cross- + ratio.",
"forms": [
{
"form": "cross-ratios",
"tags": [
"plural"
]
},
{
"form": "crossratio",
"tags": [
"alternative"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "cross-ratio (plural cross-ratios)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
"categories": [
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"English entries with incorrect language header",
"English lemmas",
"English multiword terms",
"English nouns",
"English terms prefixed with cross-",
"Entries with translation boxes",
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],
"glosses": [
"A special number associated with an ordered quadruple of collinear points, particularly points on a projective line, and preserved by the fractional linear transformations."
],
"links": [
[
"geometry",
"geometry"
],
[
"number",
"number"
],
[
"ordered",
"ordered"
],
[
"quadruple",
"quadruple"
],
[
"collinear",
"collinear"
],
[
"point",
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],
[
"projective",
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],
[
"line",
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[
"preserve",
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[
"fractional",
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],
[
"linear",
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[
"transformation",
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],
"raw_glosses": [
"(geometry) A special number associated with an ordered quadruple of collinear points, particularly points on a projective line, and preserved by the fractional linear transformations."
],
"topics": [
"geometry",
"mathematics",
"sciences"
],
"wikipedia": [
"cross-ratio"
]
}
],
"synonyms": [
{
"word": "anharmonic ratio"
},
{
"word": "double ratio"
}
],
"translations": [
{
"code": "fr",
"lang": "French",
"sense": "a special number associated with an ordered quadruple of collinear points, particularly points on a projective line, and preserved by the fractional linear transformations",
"tags": [
"masculine"
],
"word": "birapport"
}
],
"word": "cross-ratio"
}
Download raw JSONL data for cross-ratio meaning in All languages combined (1.9kB)
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2025-05-13 from the enwiktionary dump dated 2025-05-01 using wiktextract (9a214a4 and 1b6da77). 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.