# de Beaune’s problem - PowerPoint PPT Presentation

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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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#### Presentation Transcript

de Beaune’s

problem

KOSHI HIGH SCHOOL

AsakuraHaruka

Kondo Riki

René Descartes

Pierre

deFermat

LeonhardEuler

Euler’s idea

+

“Determine the area between

the –axis,

and the curve of ."

Out approximation

Inside approximation

Area which is determined

from a pincer principle

Fermat

Gregory

the area of the domain

below a hyperbola is denoted

by a logarithmic function

The area of this figure is expressed as .

Euler

Euler set the value of to when the area

of this figure is .

In other words,

he defined as .

So, it turns out that

is the logarithm

which uses as the base.

is expressed as

Eluer

Solution of de Beaune’s problem

From

Put the

Thank you for listening