\documentclass{standalone} % \usepackage{tikz} % \usepackage{tkz-euclide} \usetkzobj{all} % \usepackage{dsfont} % \usepackage{xcolor} % \definecolor{space}{HTML}{1F2C4E} \definecolor{earth}{HTML}{0089FA} \definecolor{dida}{HTML}{FFDE00} \definecolor{title}{HTML}{FBA706} % \usepackage{amsmath} % \usepackage{fontspec} \setmainfont{Open Dyslexic} % \title{Un fatto curioso sui semicerchi} \begin{document} \begin{tikzpicture} \draw [use as bounding box,color=white] (-0.2,15.2) -| (30.2,15.2) |- (30.2,-60) -| (-0.2,-60); %title \draw [black,ultra thick,fill=title] (0,7) rectangle (30,15); \node (example-textwidth-2) [right, align=center, text width=30cm, color=black, font=\fontsize{90pt}{91pt}\selectfont] at (0,11) {Un fatto curioso sui semicerchi}; \def\a{5} \def\b{9} \begin{scope}[shift={(0,4)}] \tkzDefPoint(15,0){C1} \tkzDefShiftPoint[C1](\a,0){A} \tkzDefShiftPoint[C1](-\a,0){A1} \tkzDefShiftPoint[C1](0,-\a-\b){C2} \tkzDefShiftPoint[C2](\b,0){B} \tkzDefShiftPoint[C2](-\b,0){B1} % \tkzDrawSector[rotate,ultra thick,fill=earth](C1,A)(-180) \tkzDrawSector[rotate,ultra thick,fill=earth](C2,B)(180) % \tkzCircumCenter(A,A1,B) \tkzGetPoint{O} \tkzDrawCircle(O,A1) % \tkzDefLine[perpendicular=through A1,K=-1](A1,C1) \tkzGetPoint{x} \tkzInterLL(A1,x)(C2,B) \tkzGetPoint{H} \tkzInterLC(A1,H)(O,A1) \tkzGetPoints{A2}{r} \tkzDrawSegments(A1,A2) \tkzMarkRightAngle(C1,A1,A2) \tkzDrawPoints(C1,C2) \tkzLabelPoints[font=\fontsize{18pt}{19pt}](H,B) \tkzLabelPoints[above,font=\fontsize{18pt}{19pt}](A1) \tkzLabelPoints[below,font=\fontsize{18pt}{19pt}](B1,A2) % \tkzLabelSegment[font=\fontsize{18pt}{19pt}\selectfont](C1,A1){\emph{a}} \tkzLabelSegment[font=\fontsize{18pt}{19pt}\selectfont](C1,A){\emph{a}} \tkzLabelSegment[font=\fontsize{18pt}{19pt}\selectfont](C2,B){\emph{b}} \tkzLabelSegment[font=\fontsize{18pt}{19pt}\selectfont](C2,H){\emph{a}} \tkzLabelSegment[right,font=\fontsize{18pt}{19pt}\selectfont](A1,H){\emph{a + b}} \tkzLabelSegment[font=\fontsize{18pt}{19pt}\selectfont](H,B1){\emph{b - a}} \tkzLabelSegment[left,font=\fontsize{18pt}{19pt}\selectfont](H,A2){\emph{x}} \end{scope} % \begin{scope}[shift={(0,-17)}] \draw [fill=space, thick] (3.5,0) rectangle (23,-6); \draw [fill=dida, thick] (1.8,0.5) rectangle (11.2,-0.5); \node [right, align=left, color=black, font=\fontsize{23pt}{24pt}\selectfont] at (2,0) {Teorema delle corde}; \node [right, align=left, color=white, font=\fontsize{23pt}{24pt}\selectfont] at (4,-2) {$A_1H : HB = B_1H : HA2$}; \node [right, align=left, color=white, font=\fontsize{23pt}{24pt}\selectfont] at (4,-4) {$A_1H = a+b = HB \Rightarrow b-a = B_1H = HA_2 = x$}; \end{scope} % \begin{scope}[shift={(0,-26)}] \tkzDefPoint(15,0){C1} \tkzDefShiftPoint[C1](\a,0){A} \tkzDefShiftPoint[C1](-\a,0){A1} \tkzDefShiftPoint[C1](0,-\a-\b){C2} \tkzDefShiftPoint[C2](\b,0){B} \tkzDefShiftPoint[C2](-\b,0){B1} % \tkzDrawSector[rotate,ultra thick,fill=earth](C1,A)(-180) \tkzDrawSector[rotate,ultra thick,fill=earth](C2,B)(180) % \tkzCircumCenter(A,A1,B) \tkzGetPoint{O} \tkzDrawCircle(O,A1) % \tkzDefLine[perpendicular=through A1,K=-1](A1,C1) \tkzGetPoint{x} \tkzInterLL(A1,x)(C2,B) \tkzGetPoint{H} \tkzInterLC(A1,H)(O,A1) \tkzGetPoints{A2}{r} \tkzDrawSegments(A1,A2 A2,A) \tkzMarkRightAngle(C1,A1,A2) \tkzLabelPoints[above,font=\fontsize{18pt}{19pt}](A1,A) \tkzLabelPoints[below,font=\fontsize{18pt}{19pt}](A2) % \tkzLabelSegment[font=\fontsize{18pt}{19pt}\selectfont](A1,A){2\emph{a}} \tkzLabelSegment[right,font=\fontsize{18pt}{19pt}\selectfont](A1,A2){2\emph{b}} \tkzLabelSegment[right,font=\fontsize{18pt}{19pt}\selectfont](A2,A){2\emph{r}} \tkzDrawPoint(O) \end{scope} % \begin{scope}[shift={(0,-47)}] \draw [fill=space, thick] (3.5,0) rectangle (23,-10); \draw [fill=dida, thick] (1.8,0.6) rectangle (11.2,-0.5); \node [right, align=left, color=black, font=\fontsize{23pt}{24pt}\selectfont] at (2,0) {Teorema di Pitagora}; \node [right, align=left, color=white, font=\fontsize{23pt}{24pt}\selectfont] at (4,-2) {$(2a)^2 + (2b)^2 = (2r)^2 \Rightarrow a^2 + b^2 = r^2$}; \node [right, align=left, color=white, font=\fontsize{23pt}{24pt}\selectfont] at (4,-4) {$A_a = \frac{1}{2} \pi a^2, \qquad A_b = \frac{1}{2} \pi b^2$}; \node [right, align=left, color=white, font=\fontsize{23pt}{24pt}\selectfont] at (4,-6) {$A_c = \frac{1}{2} \pi r^2$}; \node [right, align=left, color=white, font=\fontsize{23pt}{24pt}\selectfont] at (4,-8) {$A_a + A_b = \frac{1}{2} \pi (a^2 + b^2) = \frac{1}{2} \pi r^2 = \frac{1}{2} A_c, \, \forall a, b \in \mathds{R}$}; \end{scope} % \begin{scope}[shift={(0,-59)}] \node at (27,0) () {\includegraphics[width=3.7cm]{licenza}}; \node at (18,-0.1) {\textcolor{black}{\fontsize{14}{15}\selectfont Testo e illustrazioni: @ulaulaman - Gianluigi Filippelli}}; \end{scope} \end{tikzpicture} % \end{document}