Clairaut's theorem
formula for the surface gravity on a viscous rotating ellipsoid in hydrostatic equilibrium under the action of its gravitational field and centrifugal force
| rdfs:label |
"Clairaut's theorem"@en
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skos:alt |
"Figure de la Terre : le sphéroïde de Clairaut"@fr |
| "Spheroide de Clairaut"@fr | |
| schema:description |
"formula for the surface gravity on a viscous rotating ellipsoid in hydrostatic equilibrium under the action of its gravitational field and centrifugal force"@en
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|
schema:date |
"2026-07-10T14:28:48+00:00"^^xsd:dateTime |
| schema:version | 2515893096 |
| wikibase:identifiers | 6 |
| wikibase:sitelinks | 9 |
| wikibase:statements | 18 |
| p:P10565 | wd:statement/Q1068385-C15391CF-3054-4771-A181-78F833E75EEC |
| p:P138 | wd:statement/Q1068385-70aacd9c-4053-5313-e07d-b67bd8c68bc8 |
| p:P14541 | wd:statement/Q1068385-0D81D6E3-3E14-49D6-A95C-A598B48C1978 |
| p:P17 | wd:statement/Q1068385-4D6577EB-B1E8-4F75-94B6-011CD08DEE82 |
| p:P1889 | wd:statement/Q1068385-9d68bbaf-4b59-214b-a72b-4191cc99f0b6 |
| p:P2534 | wd:statement/Q1068385-b1cf27d9-4d8e-0f59-af00-28a8e90fe468 |
| p:P2671 | wd:statement/Q1068385-CF13A189-F262-44A0-A8DC-223F02B529BE |
| p:P31 | wd:statement/Q1068385-6955d939-44df-a9d1-a3f0-00c8b155ee32 |
| wd:statement/Q1068385-f41ed08a-40bf-b52e-2c5d-358406982c46 | |
| p:P3417 | wd:statement/Q1068385-4FB0D921-53DB-4418-8074-5E86684AEC26 |
| p:P361 | wd:statement/Q1068385-56325D23-4418-4887-9F13-63FE32673EE5 |
| p:P575 | wd:statement/Q1068385-07f36526-4fc8-79c4-ffc0-22ad609301ba |
| p:P6104 | wd:statement/Q1068385-C790C49B-DF4F-48D1-81F5-8E5F5277781F |
| p:P6366 | wd:statement/Q1068385-4410AD4D-CB5B-4C3B-9A91-5696CBD46320 |
| p:P646 | wd:statement/Q1068385-B5FC91D9-E49D-49D5-BED0-B4F1FBA2953B |
| p:P7235 | wd:statement/Q1068385-66237599-4684-ad5a-9e09-b0fe160d33a8 |
| wd:statement/Q1068385-a06c6a01-4e33-59ca-ee22-02533337fc03 | |
| p:P921 | wd:statement/Q1068385-CA281251-7D4A-4BBC-B040-9A716D32A380 |
|
p:direct- |
<http:/ |
|
p:direct- |
<https:/ |
| wdt:P10565 | "221725" |
| wdt:P138 | Alexis Clairaut |
| wdt:P14541 | "yBnza" |
| wdt:P17 | United States |
| wdt:P1889 | symmetry of second derivatives |
| wdt:P2534 | "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>g</mi><mo stretchy="false">(</mo><mi>φ</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>G</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>equator</mtext></mrow></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mn>1</mn><mo stretchy="false">+</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>5</mn></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mi>m</mi><mo stretchy="false">−</mo><mi>f</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><msup><mi>sin</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mi>φ</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML |
| wdt:P2671 | "/g/121g0q7g" |
| wdt:P31 | relation |
| theorem | |
| wdt:P3417 | "Clairauts-Theorem" |
| wdt:P361 | list of theorems |
| wdt:P575 | "1743-01-01T00:00:00+00:00"^^xsd:dateTime |
| wdt:P6104 | WikiProject Mathematics |
| wdt:P6366 | "82348467" |
| wdt:P646 | "/m/058451" |
| wdt:P7235 | "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>φ</mi></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML |
| "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>f</mi></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML | |
| wdt:P921 | flatness |
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