29.--_Chaucer's Puzzle._

The surface of water or other liquid is always spherical, and the greater

any sphere is the less is its convexity. Hence the top diameter of any

vessel at the summit of a mountain will form the base of the segment of a

greater sphere than it would at the bottom. This sphere, being greater,

must (from what has been already said) be less convex; or, in other

words, the spherical surface of the water must be less above the brim of

the vessel, and consequently it will hold less at the top of a mountain

than at the bottom. The reader is therefore free to select any mountain

he likes in Italy--or elsewhere!

The Canterbury Puzzles, and Other Curious Problems · 第 183 / 286 题