MAKE A MEME View Large Image Animated illustration of thales theorem.gif Created with Sage page is/was here 2008-02-16 dino talk Boulder CO USA dino I made this with SAGE; code follows Illustrates Thale's Theorem via animation; see < http //en wikipedia org/wiki/Thales ...
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Keywords: Animated illustration of thales theorem.gif Created with Sage page is/was here 2008-02-16 dino talk Boulder CO USA dino I made this with SAGE; code follows Illustrates Thale's Theorem via animation; see < http //en wikipedia org/wiki/Thales 27_theorem > R 3 Radius of circle step 0 5 How fine is the approximation figuresize R By name offset 0 22 Used as some of the text must be offset the circle mult 1 1 For the same reason but in a different context so the rotating text is a constant distance from the circle sizeOfGraph R+1 By name colorOfCircle 0 0 0 By name thicknessOfCircle 1 By name origin 0 0 No magic numbers colorOfRotatingText 1 0 0 By name limit srange -pi+ step -step step For for loops Now to computations Text names of angles one of which rotates A animate text A -R-offset offset for i in srange -pi+ step -step step B animate text B R mult cos i -R mult sin i rgbcolor colorOfRotatingText for i in srange -pi+ step -step step C animate text C R+offset offset for i in srange -pi+ step -step step Center of circle centerText animate text O 0 -2 offset for i in srange -pi+ step -step step Done with text The circle fixedCircle animate circle origin R rgbcolor colorOfCircle thickness thicknessOfCircle for i in limit xmin -sizeOfGraph ymin -sizeOfGraph xmax sizeOfGraph ymax sizeOfGraph axes False figsize figuresize figuresize The two sides side1 animate -R 0 R cos i -R sin i for i in limit xmin -sizeOfGraph ymin -sizeOfGraph xmax sizeOfGraph ymax sizeOfGraph figsize figuresize figuresize side2 animate R 0 R cos i -R sin i for i in limit xmin -sizeOfGraph ymin -sizeOfGraph xmax sizeOfGraph ymax sizeOfGraph figsize figuresize figuresize Center of circle centerPoint animate point origin rgbcolor 0 0 0 pointsize 15 for i in limit xmin -sizeOfGraph ymin -sizeOfGraph xmax sizeOfGraph ymax sizeOfGraph figsize figuresize figuresize Diameter of circle diameter animate -R 0 R 0 for i in limit xmin -sizeOfGraph ymin -sizeOfGraph xmax sizeOfGraph ymax sizeOfGraph figsize figuresize figuresize Display image fixedCircle + side1 + side2 + centerPoint + diameter + A + B + C + centerText show Thales' theorem Animated GIF Animations of geometry Images with Sage source code
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