Pappus's centroid theorem (Q845088)
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theorem that, for a solid of revolution of a planar figure, the surface area equals the figure’s perimeter times the distance the perimeter’s centroid travels, and the volume equals the figure’s area times the distance the figure’s centroid travels
- Pappus–Guldinus theorem
- Guldinus theorem
- Pappus's theorem
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Pappus's centroid theorem |
theorem that, for a solid of revolution of a planar figure, the surface area equals the figure’s perimeter times the distance the perimeter’s centroid travels, and the volume equals the figure’s area times the distance the figure’s centroid travels |
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Statements
Guldin demi cercle.svg
337 × 222; 23 KB
337 × 222; 23 KB
Pappus’ first theorem applied to a sphere: the surface area 𝐴 equals 𝑙 (length of the semicircle) times 𝑝 (distance travelled by the centroid of the semicircle) (English)
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Guldin demi disque.svg
337 × 222; 23 KB
337 × 222; 23 KB
Pappus’ second theorem applied to a ball: the volume 𝑉 equals 𝐴 (area of the half‐disc) times 𝑝 (distance travelled by the centroid of the half‐disc) (English)
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Wikipedia(22 entries)
- cawiki Teorema de Guldin
- cswiki Guldinovy věty
- elwiki Θεώρημα κέντρου βάρους του Πάππου
- enwiki Pappus's centroid theorem
- eswiki Teorema del centroide de Pappus
- fiwiki Pappuksen–Guldinin lause
- frwiki Théorèmes de Guldin
- glwiki Teorema de Pappus-Guldin
- hewiki משפט פאפוס
- hrwiki Pappus-Guldinova pravila
- huwiki Papposz–Guldin-tétel
- itwiki Teoremi di Pappo-Guldino
- jawiki パップス＝ギュルダンの定理
- plwiki Twierdzenie Pappusa-Guldina
- ptwiki Teoremas de Papo-Guldino
- ruwiki Теоремы Паппа — Гульдина
- shwiki Papos-Guldinova pravila
- srwiki Papos-Guldinova pravila
- svwiki Pappos-Guldins regel
- tawiki பாப்பசின் திணிவுமையத் தேற்றம்
- ukwiki Теореми Паппа — Гульдіна
- zhwiki 古爾丁定理
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Multilingual sites(1 entry)
- commonswiki Category:Pappus-Guldinus theorem