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
Facts
7 properties- Instance of
- theorem
- Part of
- list of theorems[8]
- Discoverer or inventor
- Pappus of Alexandria[2]
- Maintained by WikiProject
- WikiProject Mathematics[10]
- Named after
- Pappus of Alexandria, Paul Guldin[3][4]
- Solved by
- Paul Guldin[9]
🏷️ Also known as
en Guldinus theorem
en Pappus–Guldinus theorem
en Pappus's centroid theorem
en Pappus's theorem
ar مبرهنة غولدين
ar نظرية غولدين
ar مبرهنة بابوس للنقطة المركزية
cs Guldinova věta
cs Guldinovo pravidlo
cs Guldinovy věty
cs Pappova věta
el θεώρημα των Πάππου–Γκούλντιν
el Θεώρημα κέντρου βάρους του Πάππου
el θεώρημα του Γκούλντιν
el Θεώρημα του Πάππου
es teorema de Guldin
es teorema del centroide de Pappus
es teorema de Pappus Guldin
es teorema de Pappus-Guldin
fi Pappoksen-Guldinin lause
🔖 Identifiers · 4
- Brilliant Wiki ID
- pappus-centroid-theorems
- Freebase ID
- /m/02jwg6
- MathWorld ID
- PappussCentroidTheorem
- Microsoft Academic ID (discontinued)
- 196931875
🔗 Connections
Depicts 3
Named after 2
Created notable works 1
Discoverer or inventor 1
Instance of 1
Maintained by WikiProject 1
Part of 1
Solved by 1
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Summary
Pappus's centroid theorem is a theorem[1].