See cross-ratio in All languages combined, or 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": [
"Entries with incorrect language header",
"Entry maintenance"
],
"source": "w"
},
{
"kind": "other",
"name": "English terms prefixed with cross-",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Entries with translation boxes",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Pages with 1 entry",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Pages with entries",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Terms with French translations",
"parents": [],
"source": "w"
},
{
"kind": "topical",
"langcode": "en",
"name": "Geometry",
"orig": "en:Geometry",
"parents": [
"Mathematics",
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"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",
"quadruple"
],
[
"collinear",
"collinear"
],
[
"point",
"point"
],
[
"projective",
"projective"
],
[
"line",
"line"
],
[
"preserve",
"preserve"
],
[
"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": [
"English countable nouns",
"English entries with incorrect language header",
"English lemmas",
"English multiword terms",
"English nouns",
"English terms prefixed with cross-",
"Entries with translation boxes",
"Pages with 1 entry",
"Pages with entries",
"Terms with French translations",
"en:Geometry"
],
"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",
"point"
],
[
"projective",
"projective"
],
[
"line",
"line"
],
[
"preserve",
"preserve"
],
[
"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."
],
"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 English (1.9kB)
This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2025-03-01 from the enwiktionary dump dated 2025-02-21 using wiktextract (7c21d10 and f2e72e5). 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.