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de Beaune’s problem

de Beaune’s problem. KOSHI HIGH SCHOOL. Asakura Haruka Kondo Riki. René Descartes. Pierre de Fermat. Leonhard Euler. Euler’s idea. +. Quadrature. “Determine the area between the –axis, and the curve of .". Out approximation. Inside approximation.

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de Beaune’s problem

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  1. de Beaune’s problem KOSHI HIGH SCHOOL AsakuraHaruka Kondo Riki

  2. René Descartes Pierre deFermat

  3. LeonhardEuler

  4. Euler’s idea

  5. +

  6. Quadrature “Determine the area between the –axis, and the curve of ."

  7. Out approximation

  8. Inside approximation

  9. Area which is determined from a pincer principle

  10. Fermat

  11. Gregory the area of the domain below a hyperbola is denoted by a logarithmic function

  12. The area of this figure is expressed as .

  13. Euler Euler set the value of to when the area of this figure is .

  14. In other words, he defined as . So, it turns out that is the logarithm which uses as the base.

  15. is expressed as

  16. Eluer

  17. Solution of de Beaune’s problem

  18. From

  19. Put the

  20. Thank you for listening

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