diff --git a/rolling_circle.tex b/rolling_circle.tex new file mode 100644 index 0000000..2170ba4 --- /dev/null +++ b/rolling_circle.tex @@ -0,0 +1,55 @@ +\documentclass{standalone} +% +\usepackage{tikz} +\usetikzlibrary{bending,arrows.meta} +\usepackage{tkz-euclide} +\usetkzobj{all} +\usepackage{xcolor} +\definecolor{earth}{HTML}{0089FA} +% +\title{Rolling circle squares itself} +\begin{document} + \begin{tikzpicture}[>={[inset=0,angle'=27]Stealth}] + \begin{scope}[decoration={markings,mark=at position 0 with {\arrow[scale=2]{<}};}] + \tkzDefPoint(0,0){A} \tkzDefPoint(0,5){B} \tkzDefPoint(0,5.5){f} + \tkzCalcLength[cm](A,B) \tkzGetLength{rAB} + \tkzDrawCircle[R,ultra thick](A,\rAB cm) + \tkzDrawArc[rotate,postaction={decorate},color=black,ultra thick](A,f)(-30) + \tkzDrawPoints[fill=black](B) + \tkzDrawSegment[style=dashed,ultra thick](A,B) + % + \tkzInterLC(A,B)(A,B) \tkzGetPoints{D}{E} + % + \tkzDefLine[orthogonal=through A](B,A) \tkzGetPoint{F} + \tkzInterLC(A,F)(A,B) \tkzGetPoints{G}{H} + \tkzDrawSegment[style=dashed,ultra thick](A,G) + %translation + \pgfmathsetmacro{\tkzCirc}{3.14 * \rAB} + \tkzDefPoint(\tkzCirc,0){A'} + \tkzDefPointsBy[translation= from A to A'](B){B1} + \tkzDefPointBy[rotation= center A' angle -180](B1) + \tkzGetPoint{B2} + \tkzCalcLength[cm](A',B2) \tkzGetLength{rABt} + \tkzDrawCircle[R,ultra thick](A',\rABt cm) + \tkzDrawPoints[fill=black](B2) + \tkzDrawSegment[style=dashed,ultra thick](A',B2) + % + \tkzDefPointsBy[translation= from A to A'](G){G1} + \tkzDefPointBy[rotation= center A' angle -180](G1) + \tkzGetPoint{G2} + \tkzDrawSegment[style=dashed,ultra thick](A',G2) + % + \tkzDrawLine[color=earth,add = 0.4 and 0.7,ultra thick](D,B2) + % + \tkzTangent[at=G2](A') \tkzGetPoint{t} + \tkzInterLL(G2,t)(D,B2) \tkzGetPoint{I} + \tkzDrawSegment[style=dashed,ultra thick](G2,I) + % + \tkzDefMidPoint(D,I) \tkzGetPoint{O} + \tkzDrawArc[style=dashed,color=black,ultra thick](O,D)(I) + \tkzInterLC(A',B2)(O,I) \tkzGetPoints{a}{b} + \tkzDefSquare(B2,b) \tkzGetPoints{c}{d} + \tkzDrawPolygon[ultra thick](B2,b,c,d) + \end{scope} + \end{tikzpicture} +\end{document}