Root 2 as a continued fraction J. H. Conway, R. K. Guy, The Book of Numbers, Copernicus, 1996The Book of Numbers.

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Presentation transcript:

Root 2 as a continued fraction

J. H. Conway, R. K. Guy, The Book of Numbers, Copernicus, 1996The Book of Numbers

Trisecting an angle Trisecting an angle Squaring the circle Squaring the circle Doubling the cube Doubling the cube Squaring the circle Doubling the cube Trisecting the angle

 circumference/diameter

Pi =circumference/diameter Circumference=pi x diameter Diameter=2 x radius Circumference =2 pi r For a unit diameter circle circumference = pi

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