See conchoid in All languages combined, or Wiktionary
{
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"word": "conchoid of de Sluze"
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"word": "cardioid"
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"examples": [
{
"text": "The conchoid of a circle with respect to a point on the circle is a cardioid if the fixed distance is equal to the diameter of the circle."
},
{
"text": "The Conchoid of Nicomedes is the conchoid of a straight line with respect to a point not on the line."
},
{
"text": "1815, Charles Hutton, Pappus, entry in A Philosophical and Mathematical Dictionary, Volume 2, page 147,\nHe next treats of the properties of the Conchoid, which Nicomedes invented for doubling the cube; applying it to the solution of certain problems concerning Inclinations, with the finding of two mean proportionals, and cubes in any proportion whatever."
},
{
"ref": "1982, J. Lee Kavanau, Curves and Symmetry, volume 1, page 3:",
"text": "The classical conchoid construction is a non-orthogonal polar-curvilinear construction in which equal distances along a line are marked off from its point of intersection with a curve for various positions of the line as it rotates about a point.",
"type": "quote"
},
{
"ref": "2007, James Stewart, Single Variable Calculus, volume 2, page 662:",
"text": "These curves are called conchoids of Nicomedes after the ancient Greek scholar Nicomedes. He called them conchoids because the shape of their outer branches resembles that of a conch shell or mussel shell.",
"type": "quote"
},
{
"ref": "2009, Niccolò Guicciardini, Isaac Newton on Mathematical Certainty and Method, page 68:",
"text": "One of the best choices is the conchoid, according to Newton the simplest curve after the circle.",
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"Any of a family of curves defined as the locus of points p, such that each p is on a line that passes through a given fixed point P and intersects a given curve, C, and the distance from p to the point of intersection with C is a specified constant (note that for nontrivial cases two such points p satisfy the criteria, and the resultant curve has two parts)."
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"(mathematics, geometry) Any of a family of curves defined as the locus of points p, such that each p is on a line that passes through a given fixed point P and intersects a given curve, C, and the distance from p to the point of intersection with C is a specified constant (note that for nontrivial cases two such points p satisfy the criteria, and the resultant curve has two parts)."
],
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"feminine"
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"word": "konkoid"
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"ref": "1948, Tennessee Valley Authority, “The Hiwassee Valley Projects”, in Technical Report, volume 2, number 5, page 359:",
"text": "Conchoids of sound rock, from a few feet to 20 or more feet in diameter, entirely surrounded by comparatively thin layers of weathered material, were frequently encountered, sometimes in adjacent series.",
"type": "quote"
}
],
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"A conchoidal fracture in rock."
],
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"(geology) A conchoidal fracture in rock."
],
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"geography",
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"natural-sciences"
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"english": "strictly a cissoid",
"word": "conchoid of de Sluze"
},
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"word": "conchoid of Nicomedes"
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"text": "The conchoid of a circle with respect to a point on the circle is a cardioid if the fixed distance is equal to the diameter of the circle."
},
{
"text": "The Conchoid of Nicomedes is the conchoid of a straight line with respect to a point not on the line."
},
{
"text": "1815, Charles Hutton, Pappus, entry in A Philosophical and Mathematical Dictionary, Volume 2, page 147,\nHe next treats of the properties of the Conchoid, which Nicomedes invented for doubling the cube; applying it to the solution of certain problems concerning Inclinations, with the finding of two mean proportionals, and cubes in any proportion whatever."
},
{
"ref": "1982, J. Lee Kavanau, Curves and Symmetry, volume 1, page 3:",
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{
"ref": "2007, James Stewart, Single Variable Calculus, volume 2, page 662:",
"text": "These curves are called conchoids of Nicomedes after the ancient Greek scholar Nicomedes. He called them conchoids because the shape of their outer branches resembles that of a conch shell or mussel shell.",
"type": "quote"
},
{
"ref": "2009, Niccolò Guicciardini, Isaac Newton on Mathematical Certainty and Method, page 68:",
"text": "One of the best choices is the conchoid, according to Newton the simplest curve after the circle.",
"type": "quote"
}
],
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"Any of a family of curves defined as the locus of points p, such that each p is on a line that passes through a given fixed point P and intersects a given curve, C, and the distance from p to the point of intersection with C is a specified constant (note that for nontrivial cases two such points p satisfy the criteria, and the resultant curve has two parts)."
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"(mathematics, geometry) Any of a family of curves defined as the locus of points p, such that each p is on a line that passes through a given fixed point P and intersects a given curve, C, and the distance from p to the point of intersection with C is a specified constant (note that for nontrivial cases two such points p satisfy the criteria, and the resultant curve has two parts)."
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"ref": "1948, Tennessee Valley Authority, “The Hiwassee Valley Projects”, in Technical Report, volume 2, number 5, page 359:",
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],
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"A conchoidal fracture in rock."
],
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"(geology) A conchoidal fracture in rock."
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"code": "cs",
"lang": "Czech",
"sense": "any of a certain family of curves",
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"word": "konchoida"
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"word": "konkoid"
}
],
"wikipedia": [
"conchoid"
],
"word": "conchoid"
}
Download raw JSONL data for conchoid meaning in English (5.8kB)
This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2025-01-25 from the enwiktionary dump dated 2025-01-20 using wiktextract (c15a5ce and 5c11237). 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.