83 lines
2.6 KiB
TeX
83 lines
2.6 KiB
TeX
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\documentclass{standalone}
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%
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\usepackage{tikz}
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\usetikzlibrary{backgrounds}
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\usepackage{tkz-euclide}
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\usetkzobj{all}
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%
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\usepackage{amsmath}
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%
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\usepackage{xcolor}
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%
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\definecolor{space}{HTML}{0A2543}
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\definecolor{earth}{HTML}{0089FA}
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\definecolor{mars}{HTML}{DC7B4E}
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\definecolor{dida}{HTML}{FFDE00}
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\definecolor{title}{HTML}{FBA706}
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\definecolor{moon}{HTML}{AFAFAF}
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%
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\usepackage{fontspec}
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\setmainfont{Montserrat}
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%
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\title{Square roots without words}
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\begin{document}
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\begin{tikzpicture}[background rectangle/.style={fill=space},show background rectangle]
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%
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\begin{scope}[scale=8]
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\tkzDefPoint(0,0){A}
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\tkzDefPoint(0,1){B}
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\tkzDefSquare(A,B) \tkzGetPoints{C}{D}
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\tkzCalcLength[cm](A,B)\tkzGetLength{lAB}
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\tkzDrawSquare[color=green,fill=green](A,B)
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%
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\tkzDefPointWith[orthogonal normed](D,B) \tkzGetPoint{E}
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\tkzDefPointWith[colinear=at E](D,B) \tkzGetPoint{F}
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\tkzDrawPolygon[color=earth,fill=earth,opacity=0.8](B,D,E,F)
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%
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\tkzDefPointWith[orthogonal normed](D,F) \tkzGetPoint{G}
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\tkzDefPointWith[colinear=at G](D,F) \tkzGetPoint{H}
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\tkzDrawPolygon[color=moon,fill=moon,opacity=0.7](D,F,H,G)
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%
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\tkzDefPointWith[orthogonal normed](D,H) \tkzGetPoint{I}
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\tkzDefPointWith[colinear=at I](D,H) \tkzGetPoint{L}
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\tkzDrawPolygon[color=mars,fill=mars,opacity=0.6](D,H,L,I)
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%
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\tkzDefPointWith[orthogonal normed](D,L) \tkzGetPoint{M}
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\tkzDefPointWith[colinear=at M](D,L) \tkzGetPoint{N}
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\tkzDrawPolygon[color=dida,fill=dida,opacity=0.5](D,L,N,M)
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%
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\tkzDefPointWith[orthogonal normed](D,N) \tkzGetPoint{O}
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\tkzDefPointWith[colinear=at O](D,N) \tkzGetPoint{P}
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\tkzDrawPolygon[color=title,fill=title,opacity=0.4](D,N,P,O)
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%
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\tkzDefPointWith[orthogonal normed](D,P) \tkzGetPoint{Q}
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\tkzDefPointWith[colinear=at Q](D,P) \tkzGetPoint{R}
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\tkzDrawPolygon[color=green,fill=green,opacity=0.3](D,P,R,Q)
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%
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\tkzDrawSegment[dashed](A,B)
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\tkzLabelSegment[black,left=1ex,pos=.5](A,B){$1$}
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%
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\tkzDrawSegment[dashed](D,B)
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\tkzLabelSegment[black,right=1ex,pos=.5](D,B){$\sqrt{2}$}
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%
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\tkzDrawSegment[dashed](D,F)
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\tkzLabelSegment[black,right=1ex,pos=.5](D,F){$\sqrt{3}$}
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%
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\tkzDrawSegment[dashed](D,H)
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\tkzLabelSegment[black,right=1ex,pos=.5](D,H){$\sqrt{4}$}
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%
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\tkzDrawSegment[dashed](D,L)
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\tkzLabelSegment[black,right=1ex,pos=.5](D,L){$\sqrt{5}$}
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%
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\tkzDrawSegment[dashed](D,N)
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\tkzLabelSegment[black,below=1ex,pos=.5](D,N){$\sqrt{6}$}
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%
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\tkzDrawSegment[dashed](D,P)
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\tkzLabelSegment[black,below=1ex,pos=.5](D,P){$\sqrt{7}$}
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%
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\tkzDrawSegment[dashed](D,R)
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\tkzLabelSegment[black,below=1ex,pos=.5](D,R){$\sqrt{8}$}
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\end{scope}
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%
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\end{tikzpicture}
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\end{document}
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