Comprehensive presentation of the "Theorem of the Day", starting with a statement of this theorem. The Pappus–Guldin Theorems : Suppose that a plane curve is rotated about an axis external to the curve. Then 1. the resulting surface area of revolution is equal to the product of the length of the curve and the displacement of its centroid; 2. in the case of a closed curve, the resulting volume of revolution is equal to the product of the plane area enclosed by the curve and the displacement of the centroid of this area.
Theorem of the Day (March 30, 2026) : The Pappus–Guldin Theorems
Source : Theorem of the Day / Robin Whitty
pdf : buff.ly/8ISqNzC
notes : buff.ly/3k7Culi
#mathematics #maths #math #theorem
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![Quote from James Byrnie Shaw : "Wherever a hypothesis is set up and conclusions deduced from it, mathematics is at work. Wherever the scientist goes beyond his observed facts, introducing concepts such as energy, field [...], he is becoming a mathematician. Mathematics is a fundamental mode of thinking, impossible to evade."](https://cdn.bsky.app/img/feed_thumbnail/plain/did:plc:bem2n5mbgyevwu3blbm4jslr/bafkreidvxzxivemnwoq7q7b3xccjufgjz7zi5kin277akmtzfwgsmdw2mi)
