See frustum in All languages combined, or Wiktionary
{
"derived": [
{
"_dis1": "0 0",
"word": "bifrustum"
},
{
"_dis1": "0 0",
"word": "frustum culling"
},
{
"_dis1": "0 0",
"word": "view frustum"
},
{
"_dis1": "0 0",
"word": "viewing frustum"
}
],
"etymology_templates": [
{
"args": {
"1": "en",
"2": "la",
"3": "frustum",
"4": "",
"5": "morsel"
},
"expansion": "Latin frustum (“morsel”)",
"name": "bor"
}
],
"etymology_text": "Borrowed from Latin frustum (“morsel”).",
"forms": [
{
"form": "frustums",
"tags": [
"plural"
]
},
{
"form": "frusta",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {
"1": "s",
"2": "frusta"
},
"expansion": "frustum (plural frustums or frusta)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"related": [
{
"_dis1": "0 0",
"word": "bifrustum"
},
{
"_dis1": "0 0",
"word": "frustoconical"
}
],
"senses": [
{
"categories": [],
"examples": [
{
"ref": "1742, Colin MacLaurin, A Treatise of Fluxions, volume 1, page 25:",
"text": "In a parabolic conoid this difference vaniſhes, the fruſtum being always equal to a cylinder of the ſame height upon the ſection of the conoid that biſects the altitude of the fruſtum and is parallel to its baſes.",
"type": "quote"
},
{
"ref": "1809, William Nicholson, “FRUSTUM”, in The British Encyclopedia, or Dictionary of Arts and Sciences; […], volume III (E … I), London: Printed by C[harles] Whittingham, […]; for Longman, Hurst, Rees, and Orme, […], →OCLC:",
"text": "This theorem holds good for complete solids as well as frustums, whether right or oblique, and not only of the solids generated from the conic sections, but also of all pyramids, cones, and in short of any solid, whose parallel sections are similar figures.",
"type": "quote"
},
{
"ref": "1974, Stanisław Lem, translated by Michael Kandel, The Cyberiad:",
"text": "Come, every frustum longs to be a cone,\nAnd every vector dreams of matrices.",
"type": "quote"
},
{
"text": "2006, Pawan Harish Nirnimesh, P. J. Narayanan, Culling an Object Hierarchy to a Frustum Hierarchy, Prem Kalra, Shmuel Peleg (editors), Computer Vision, Graphics and Image Processing: 5th Indian Conference, ICVGIP 2006, Springer, LNCS4338, page 252,\nHowever, when there are multiple view frustums (as in a tiled display wall), visibility culling time becomes substantial and cannot be hidden by pipelining it with other stages of rendering."
},
{
"ref": "2008, R. Benjamin Davis, Techniques to Assess Acoustic-structure Interaction in Liquid Rocket Engines, page 122:",
"text": "Here, the dynamics of the fluid-filled frusta of cones are considered (see Figure 5.5). The frusta are clamped at their roots and free at their ends.",
"type": "quote"
}
],
"glosses": [
"A cone or pyramid whose tip has been truncated by a plane parallel to its base."
],
"id": "en-frustum-en-noun-ge8TlbKT",
"links": [
[
"cone",
"cone"
],
[
"pyramid",
"pyramid"
],
[
"tip",
"tip"
],
[
"truncated",
"truncated"
],
[
"plane",
"plane"
],
[
"parallel",
"parallel"
],
[
"base",
"base"
]
],
"translations": [
{
"_dis1": "95 5",
"code": "bg",
"lang": "Bulgarian",
"roman": "presečen konus",
"sense": "truncated cone or pyramid",
"tags": [
"masculine"
],
"word": "пресечен конус"
},
{
"_dis1": "95 5",
"code": "bg",
"lang": "Bulgarian",
"roman": "presečena piramida",
"sense": "truncated cone or pyramid",
"tags": [
"feminine"
],
"word": "пресечена пирамида"
},
{
"_dis1": "95 5",
"code": "ca",
"lang": "Catalan",
"sense": "truncated cone or pyramid",
"tags": [
"masculine"
],
"word": "tronc"
},
{
"_dis1": "95 5",
"code": "cmn",
"lang": "Chinese Mandarin",
"sense": "truncated cone or pyramid",
"word": "平截頭體"
},
{
"_dis1": "95 5",
"code": "cmn",
"lang": "Chinese Mandarin",
"roman": "píngjié tóutǐ",
"sense": "truncated cone or pyramid",
"word": "平截头体"
},
{
"_dis1": "95 5",
"code": "fi",
"lang": "Finnish",
"sense": "truncated cone or pyramid",
"word": "katkaistu kartio"
},
{
"_dis1": "95 5",
"code": "fr",
"lang": "French",
"sense": "truncated cone or pyramid",
"tags": [
"masculine"
],
"word": "tronc"
},
{
"_dis1": "95 5",
"code": "gl",
"lang": "Galician",
"sense": "truncated cone or pyramid",
"tags": [
"masculine"
],
"word": "tronco"
},
{
"_dis1": "95 5",
"code": "de",
"english": "cone",
"lang": "German",
"sense": "truncated cone or pyramid",
"tags": [
"masculine"
],
"topics": [
"mathematics",
"sciences"
],
"word": "Kegelstumpf"
},
{
"_dis1": "95 5",
"code": "de",
"lang": "German",
"sense": "truncated cone or pyramid",
"tags": [
"masculine"
],
"topics": [
"mathematics",
"sciences"
],
"word": "Stumpf"
},
{
"_dis1": "95 5",
"code": "de",
"english": "pyramid",
"lang": "German",
"sense": "truncated cone or pyramid",
"tags": [
"masculine"
],
"topics": [
"mathematics",
"sciences",
"computing",
"engineering",
"physical-sciences",
"natural-sciences"
],
"word": "Pyramidenstumpf"
},
{
"_dis1": "95 5",
"code": "el",
"english": "cone",
"lang": "Greek",
"roman": "kólouros kónos",
"sense": "truncated cone or pyramid",
"tags": [
"masculine"
],
"word": "κόλουρος κώνος"
},
{
"_dis1": "95 5",
"code": "el",
"english": "pyramid",
"lang": "Greek",
"roman": "kólouri pyramída",
"sense": "truncated cone or pyramid",
"tags": [
"feminine"
],
"word": "κόλουρη πυραμίδα"
},
{
"_dis1": "95 5",
"code": "hi",
"lang": "Hindi",
"roman": "chinnak",
"sense": "truncated cone or pyramid",
"tags": [
"masculine"
],
"word": "छिन्नक"
},
{
"_dis1": "95 5",
"code": "hu",
"lang": "Hungarian",
"sense": "truncated cone or pyramid",
"tags": [
"usually"
],
"word": "csonka test"
},
{
"_dis1": "95 5",
"code": "hu",
"lang": "Hungarian",
"note": "of a cone",
"sense": "truncated cone or pyramid",
"word": "csonka kúp"
},
{
"_dis1": "95 5",
"code": "hu",
"lang": "Hungarian",
"note": "of a pyramid",
"sense": "truncated cone or pyramid",
"word": "csonka gúla"
},
{
"_dis1": "95 5",
"code": "is",
"lang": "Icelandic",
"sense": "truncated cone or pyramid",
"tags": [
"masculine"
],
"word": "stúfur"
},
{
"_dis1": "95 5",
"code": "it",
"lang": "Italian",
"sense": "truncated cone or pyramid",
"tags": [
"masculine"
],
"word": "tronco"
},
{
"_dis1": "95 5",
"alt": "截頭體",
"code": "ko",
"lang": "Korean",
"roman": "jeolduche",
"sense": "truncated cone or pyramid",
"word": "절두체"
},
{
"_dis1": "95 5",
"code": "mi",
"lang": "Maori",
"sense": "truncated cone or pyramid",
"word": "motuhanga pūtake"
},
{
"_dis1": "95 5",
"code": "ru",
"lang": "Russian",
"roman": "usečónnaja piramída",
"sense": "truncated cone or pyramid",
"word": "усечённая пирами́да f pyramid"
},
{
"_dis1": "95 5",
"code": "ru",
"lang": "Russian",
"roman": "usečónnyj kónus",
"sense": "truncated cone or pyramid",
"word": "усечённый ко́нус m cone"
},
{
"_dis1": "95 5",
"code": "es",
"lang": "Spanish",
"sense": "truncated cone or pyramid",
"tags": [
"masculine"
],
"word": "tronco"
},
{
"_dis1": "95 5",
"code": "es",
"lang": "Spanish",
"sense": "truncated cone or pyramid",
"word": "tronco de geometría"
},
{
"_dis1": "95 5",
"code": "es",
"lang": "Spanish",
"sense": "truncated cone or pyramid",
"tags": [
"masculine"
],
"word": "tronco geométrico"
},
{
"_dis1": "95 5",
"code": "tr",
"lang": "Turkish",
"sense": "truncated cone or pyramid",
"topics": [
"mathematics",
"sciences"
],
"word": "kesik koni"
}
]
},
{
"categories": [
{
"_dis": "9 91",
"kind": "other",
"name": "English entries with incorrect language header",
"parents": [
"Entries with incorrect language header",
"Entry maintenance"
],
"source": "w+disamb"
},
{
"_dis": "18 82",
"kind": "other",
"name": "Entries with translation boxes",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "14 86",
"kind": "other",
"name": "Pages with 2 entries",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "10 90",
"kind": "other",
"name": "Pages with entries",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "14 86",
"kind": "other",
"name": "Terms with Bulgarian translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "14 86",
"kind": "other",
"name": "Terms with Catalan translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "14 86",
"kind": "other",
"name": "Terms with Finnish translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "14 86",
"kind": "other",
"name": "Terms with French translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "14 86",
"kind": "other",
"name": "Terms with Galician translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "15 85",
"kind": "other",
"name": "Terms with German translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "12 88",
"kind": "other",
"name": "Terms with Greek translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "11 89",
"kind": "other",
"name": "Terms with Hindi translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "14 86",
"kind": "other",
"name": "Terms with Hungarian translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "14 86",
"kind": "other",
"name": "Terms with Icelandic translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "11 89",
"kind": "other",
"name": "Terms with Italian translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "14 86",
"kind": "other",
"name": "Terms with Korean translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "12 88",
"kind": "other",
"name": "Terms with Mandarin translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "14 86",
"kind": "other",
"name": "Terms with Maori translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "11 89",
"kind": "other",
"name": "Terms with Russian translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "10 90",
"kind": "other",
"name": "Terms with Spanish translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "13 87",
"kind": "other",
"name": "Terms with Turkish translations",
"parents": [],
"source": "w+disamb"
}
],
"examples": [
{
"ref": "1840, James Blundell, Observations on Some of the More Important Diseases of Women, page 131:",
"text": "In some women it^([the os uteri]) is flat, in many more tuberose, and forming, as it were, a frustum of a sphere;[…].",
"type": "quote"
},
{
"ref": "2014, John Bird, Engineering Mathematics, page 183:",
"text": "Problem 22. Determine the volume of a frustum of a sphere of diameter 49.74 cm if the diameter^([sic]) of the ends of the frustum are 24.0 and 40.0 cm, and the height of the frustum is 7.00 cm.",
"type": "quote"
}
],
"glosses": [
"A portion of a sphere, or in general any solid, delimited by two parallel planes."
],
"id": "en-frustum-en-noun-FON9Pqx8",
"links": [
[
"sphere",
"sphere"
],
[
"solid",
"solid"
],
[
"delimit",
"delimit"
],
[
"parallel",
"parallel"
],
[
"plane",
"plane"
]
]
}
],
"sounds": [
{
"audio": "en-us-frustum.ogg",
"mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/f/f9/En-us-frustum.ogg/En-us-frustum.ogg.mp3",
"ogg_url": "https://upload.wikimedia.org/wikipedia/commons/f/f9/En-us-frustum.ogg"
}
],
"wikipedia": [
"Spherical segment",
"frustum"
],
"word": "frustum"
}
{
"categories": [
"English countable nouns",
"English entries with incorrect language header",
"English lemmas",
"English nouns",
"English nouns with irregular plurals",
"English terms borrowed from Latin",
"English terms derived from Latin",
"Entries with translation boxes",
"Pages with 2 entries",
"Pages with entries",
"Terms with Bulgarian translations",
"Terms with Catalan translations",
"Terms with Finnish translations",
"Terms with French translations",
"Terms with Galician translations",
"Terms with German translations",
"Terms with Greek translations",
"Terms with Hindi translations",
"Terms with Hungarian translations",
"Terms with Icelandic translations",
"Terms with Italian translations",
"Terms with Korean translations",
"Terms with Mandarin translations",
"Terms with Maori translations",
"Terms with Russian translations",
"Terms with Spanish translations",
"Terms with Turkish translations"
],
"derived": [
{
"word": "bifrustum"
},
{
"word": "frustum culling"
},
{
"word": "view frustum"
},
{
"word": "viewing frustum"
}
],
"etymology_templates": [
{
"args": {
"1": "en",
"2": "la",
"3": "frustum",
"4": "",
"5": "morsel"
},
"expansion": "Latin frustum (“morsel”)",
"name": "bor"
}
],
"etymology_text": "Borrowed from Latin frustum (“morsel”).",
"forms": [
{
"form": "frustums",
"tags": [
"plural"
]
},
{
"form": "frusta",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {
"1": "s",
"2": "frusta"
},
"expansion": "frustum (plural frustums or frusta)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"related": [
{
"word": "bifrustum"
},
{
"word": "frustoconical"
}
],
"senses": [
{
"categories": [
"English terms with quotations",
"Quotation templates to be cleaned"
],
"examples": [
{
"ref": "1742, Colin MacLaurin, A Treatise of Fluxions, volume 1, page 25:",
"text": "In a parabolic conoid this difference vaniſhes, the fruſtum being always equal to a cylinder of the ſame height upon the ſection of the conoid that biſects the altitude of the fruſtum and is parallel to its baſes.",
"type": "quote"
},
{
"ref": "1809, William Nicholson, “FRUSTUM”, in The British Encyclopedia, or Dictionary of Arts and Sciences; […], volume III (E … I), London: Printed by C[harles] Whittingham, […]; for Longman, Hurst, Rees, and Orme, […], →OCLC:",
"text": "This theorem holds good for complete solids as well as frustums, whether right or oblique, and not only of the solids generated from the conic sections, but also of all pyramids, cones, and in short of any solid, whose parallel sections are similar figures.",
"type": "quote"
},
{
"ref": "1974, Stanisław Lem, translated by Michael Kandel, The Cyberiad:",
"text": "Come, every frustum longs to be a cone,\nAnd every vector dreams of matrices.",
"type": "quote"
},
{
"text": "2006, Pawan Harish Nirnimesh, P. J. Narayanan, Culling an Object Hierarchy to a Frustum Hierarchy, Prem Kalra, Shmuel Peleg (editors), Computer Vision, Graphics and Image Processing: 5th Indian Conference, ICVGIP 2006, Springer, LNCS4338, page 252,\nHowever, when there are multiple view frustums (as in a tiled display wall), visibility culling time becomes substantial and cannot be hidden by pipelining it with other stages of rendering."
},
{
"ref": "2008, R. Benjamin Davis, Techniques to Assess Acoustic-structure Interaction in Liquid Rocket Engines, page 122:",
"text": "Here, the dynamics of the fluid-filled frusta of cones are considered (see Figure 5.5). The frusta are clamped at their roots and free at their ends.",
"type": "quote"
}
],
"glosses": [
"A cone or pyramid whose tip has been truncated by a plane parallel to its base."
],
"links": [
[
"cone",
"cone"
],
[
"pyramid",
"pyramid"
],
[
"tip",
"tip"
],
[
"truncated",
"truncated"
],
[
"plane",
"plane"
],
[
"parallel",
"parallel"
],
[
"base",
"base"
]
]
},
{
"categories": [
"English terms with quotations"
],
"examples": [
{
"ref": "1840, James Blundell, Observations on Some of the More Important Diseases of Women, page 131:",
"text": "In some women it^([the os uteri]) is flat, in many more tuberose, and forming, as it were, a frustum of a sphere;[…].",
"type": "quote"
},
{
"ref": "2014, John Bird, Engineering Mathematics, page 183:",
"text": "Problem 22. Determine the volume of a frustum of a sphere of diameter 49.74 cm if the diameter^([sic]) of the ends of the frustum are 24.0 and 40.0 cm, and the height of the frustum is 7.00 cm.",
"type": "quote"
}
],
"glosses": [
"A portion of a sphere, or in general any solid, delimited by two parallel planes."
],
"links": [
[
"sphere",
"sphere"
],
[
"solid",
"solid"
],
[
"delimit",
"delimit"
],
[
"parallel",
"parallel"
],
[
"plane",
"plane"
]
]
}
],
"sounds": [
{
"audio": "en-us-frustum.ogg",
"mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/f/f9/En-us-frustum.ogg/En-us-frustum.ogg.mp3",
"ogg_url": "https://upload.wikimedia.org/wikipedia/commons/f/f9/En-us-frustum.ogg"
}
],
"translations": [
{
"code": "bg",
"lang": "Bulgarian",
"roman": "presečen konus",
"sense": "truncated cone or pyramid",
"tags": [
"masculine"
],
"word": "пресечен конус"
},
{
"code": "bg",
"lang": "Bulgarian",
"roman": "presečena piramida",
"sense": "truncated cone or pyramid",
"tags": [
"feminine"
],
"word": "пресечена пирамида"
},
{
"code": "ca",
"lang": "Catalan",
"sense": "truncated cone or pyramid",
"tags": [
"masculine"
],
"word": "tronc"
},
{
"code": "cmn",
"lang": "Chinese Mandarin",
"sense": "truncated cone or pyramid",
"word": "平截頭體"
},
{
"code": "cmn",
"lang": "Chinese Mandarin",
"roman": "píngjié tóutǐ",
"sense": "truncated cone or pyramid",
"word": "平截头体"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "truncated cone or pyramid",
"word": "katkaistu kartio"
},
{
"code": "fr",
"lang": "French",
"sense": "truncated cone or pyramid",
"tags": [
"masculine"
],
"word": "tronc"
},
{
"code": "gl",
"lang": "Galician",
"sense": "truncated cone or pyramid",
"tags": [
"masculine"
],
"word": "tronco"
},
{
"code": "de",
"english": "cone",
"lang": "German",
"sense": "truncated cone or pyramid",
"tags": [
"masculine"
],
"topics": [
"mathematics",
"sciences"
],
"word": "Kegelstumpf"
},
{
"code": "de",
"lang": "German",
"sense": "truncated cone or pyramid",
"tags": [
"masculine"
],
"topics": [
"mathematics",
"sciences"
],
"word": "Stumpf"
},
{
"code": "de",
"english": "pyramid",
"lang": "German",
"sense": "truncated cone or pyramid",
"tags": [
"masculine"
],
"topics": [
"mathematics",
"sciences",
"computing",
"engineering",
"physical-sciences",
"natural-sciences"
],
"word": "Pyramidenstumpf"
},
{
"code": "el",
"english": "cone",
"lang": "Greek",
"roman": "kólouros kónos",
"sense": "truncated cone or pyramid",
"tags": [
"masculine"
],
"word": "κόλουρος κώνος"
},
{
"code": "el",
"english": "pyramid",
"lang": "Greek",
"roman": "kólouri pyramída",
"sense": "truncated cone or pyramid",
"tags": [
"feminine"
],
"word": "κόλουρη πυραμίδα"
},
{
"code": "hi",
"lang": "Hindi",
"roman": "chinnak",
"sense": "truncated cone or pyramid",
"tags": [
"masculine"
],
"word": "छिन्नक"
},
{
"code": "hu",
"lang": "Hungarian",
"sense": "truncated cone or pyramid",
"tags": [
"usually"
],
"word": "csonka test"
},
{
"code": "hu",
"lang": "Hungarian",
"note": "of a cone",
"sense": "truncated cone or pyramid",
"word": "csonka kúp"
},
{
"code": "hu",
"lang": "Hungarian",
"note": "of a pyramid",
"sense": "truncated cone or pyramid",
"word": "csonka gúla"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "truncated cone or pyramid",
"tags": [
"masculine"
],
"word": "stúfur"
},
{
"code": "it",
"lang": "Italian",
"sense": "truncated cone or pyramid",
"tags": [
"masculine"
],
"word": "tronco"
},
{
"alt": "截頭體",
"code": "ko",
"lang": "Korean",
"roman": "jeolduche",
"sense": "truncated cone or pyramid",
"word": "절두체"
},
{
"code": "mi",
"lang": "Maori",
"sense": "truncated cone or pyramid",
"word": "motuhanga pūtake"
},
{
"code": "ru",
"lang": "Russian",
"roman": "usečónnaja piramída",
"sense": "truncated cone or pyramid",
"word": "усечённая пирами́да f pyramid"
},
{
"code": "ru",
"lang": "Russian",
"roman": "usečónnyj kónus",
"sense": "truncated cone or pyramid",
"word": "усечённый ко́нус m cone"
},
{
"code": "es",
"lang": "Spanish",
"sense": "truncated cone or pyramid",
"tags": [
"masculine"
],
"word": "tronco"
},
{
"code": "es",
"lang": "Spanish",
"sense": "truncated cone or pyramid",
"word": "tronco de geometría"
},
{
"code": "es",
"lang": "Spanish",
"sense": "truncated cone or pyramid",
"tags": [
"masculine"
],
"word": "tronco geométrico"
},
{
"code": "tr",
"lang": "Turkish",
"sense": "truncated cone or pyramid",
"topics": [
"mathematics",
"sciences"
],
"word": "kesik koni"
}
],
"wikipedia": [
"Spherical segment",
"frustum"
],
"word": "frustum"
}
Download raw JSONL data for frustum meaning in English (8.5kB)
This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-12-08 from the enwiktionary dump dated 2024-12-04 using wiktextract (bb46d54 and 0c3c9f6). 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.