Root 2 as a continued fraction

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Root 2 as a continued fraction. J. H. Conway, R. K. Guy, The Book of Numbers , Copernicus, 1996. Squaring the circle Doubling the cube Trisecting the angle. p = circumference/diameter. Pi =circumference/diameter Circumference=pi x diameter Diameter=2 x radius Circumference =2 pi r - PowerPoint PPT Presentation

Transcript of Root 2 as a continued fraction

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

Copernicus, 1996

http://www.amazon.com/exec/obidos/ISBN=038797993X/ctksoftwareincA/

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Trisecting an angle

Squaring the circle

Doubling the cube

Squaring the circle Doubling the cube Trisecting the angle

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circumference/diameter

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Pi =circumference/diameterCircumference=pi x diameterDiameter=2 x radiusCircumference =2 pi rFor a unit diameter circle circumference = pi

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• Nova Infinite Secrets Interactive

http://www.pbs.org/wgbh/nova/archimedes/pi.html

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• Link

http://www.ies.co.jp/math/java/calc/kubunqX2jo/kubunqX2jo.html

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$FRACTIONS NUMERIQUES Trouver la fraction correspondant au dessin (continu)Trouver la fraction correspondant au dessin Trouver la fraction correspondant.$

FRACTIONS NUMERIQUES Trouver la fraction correspondant au dessin (continu)Trouver la fraction correspondant au dessin Trouver la fraction correspondant.

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...-rw-r-- drwxr- xr- -rw-r-- drwxr- xr- x x x x x x 2 2 2 2 1 2 1 15 root root root root root root root cgi-bin css html images index . php phpinfo. php spt Expand root@lamp /var/www#

...-rw-r-- drwxr- xr- -rw-r-- drwxr- xr- x x x x x x 2 2 2 2 1 2 1 15 root root root root root root root cgi-bin css html images index . php phpinfo. php spt Expand root@lamp /var/www#

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$Algebraic and ergodic properties of a new continued ...500 similar to the way the RCF-map T generates the RCF-expansion of x) a new continued fraction expansion of x of the form In$

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$ANNEMIE DILLEN EN STEFAN GÄRTNER CAMPUS HANDBOEK … · 2020. 3. 4. · numerator or denominator or fraction to exponentiate ab =c base exponent power to take root b √ a=c radicand$

ANNEMIE DILLEN EN STEFAN GÄRTNER CAMPUS HANDBOEK … · 2020. 3. 4. · numerator or denominator or fraction to exponentiate ab =c base exponent power to take root b √ a=c radicand

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$NATURAL EXTENSIONS AND ENTROPY OF -CONTINUED …steiner/alphafrac.pdfThis yields the -continued fraction expansion of x2R: x= d 0 + " 1 d 1 + " 2 d 2 + ; where d 0 2Z is such that$

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$M obius Transformations of Complex Continued Fractionsbosma/Students/JorisLuijsterburg/MasterThesis_Joris... · RCF(x) is the regular continued fraction of x. When all a i are integers,$

M obius Transformations of Complex Continued Fractionsbosma/Students/JorisLuijsterburg/MasterThesis_Joris... · RCF(x) is the regular continued fraction of x. When all a i are integers,

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