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Isoperimetric problem. Using clever geometric argument Steiner proved in 1838 that if there is a geometric figure of the highest area for a given perimeter, it must be a circle. However, it was only Blaschke in 1919 who showed the existence of such a figure.

By the way, Aknazar Kazhymurat's answer is approximately the Perron's joke about invalidity of Steiner's proof.

Isoperimetric problem. Using clever geometric argument Steiner proved in 1838 that if there is a geometric figure of the highest area for a given perimeter, it must be a circle. However it was only Blaschke in 1919 who showed the existence of such a figure.

Isoperimetric problem. Using clever geometric argument Steiner proved in 1838 that if there is a geometric figure of the highest area for a given perimeter, it must be a circle. However, it was only Blaschke in 1919 who showed the existence of such a figure.

By the way, Aknazar Kazhymurat's answer is approximately the Perron's joke about invalidity of Steiner's proof.

Source Link
erz
erz
  • 5.5k
  • 1
  • 19
  • 25

Isoperimetric problem. Using clever geometric argument Steiner proved in 1838 that if there is a geometric figure of the highest area for a given perimeter, it must be a circle. However it was only Blaschke in 1919 who showed the existence of such a figure.