Zum Inhalt springen

Seite:Principien1872-062.png

aus Wikisource, der freien Quellensammlung
Dieser Text wurde anhand der angegebenen Quelle einmal korrekturgelesen. Die Schreibweise sollte dem Originaltext folgen. Es ist noch ein weiterer Korrekturdurchgang nötig.

LaTeX Source Code

% complile with »pdflatex -shell-escape«
\documentclass[tikz,convert=pdf2svg]{standalone}
\usepackage{tkz-euclide}
\usetikzlibrary{decorations.markings}
\usetikzlibrary{calc,intersections}
\begin{document}
 \begin{tikzpicture}[
  tangent/.style={
   decoration={
    markings,
    mark=at position #1 with{
     \coordinate (tangent point-\pgfkeysvalueof{/pgf/decoration/mark info/sequence number}) at (0pt,0pt);
     \coordinate (tangent unit vector-\pgfkeysvalueof{/pgf/decoration/mark info/sequence number}) at (1,0pt);
     \coordinate (tangent orthogonal unit vector-\pgfkeysvalueof{/pgf/decoration/mark info/sequence number}) at (0pt,1);
    }
   },
   postaction=decorate
  },
  use tangent/.style={
   shift=(tangent point-#1),
   x=(tangent unit vector-#1),
   y=(tangent orthogonal unit vector-#1)
  },
  use tangent/.default=1
 ]
  \tkzSetUpLine[line width=0.4pt]
  \pgfmathsetmacro{\SP}{3.65};
  \pgfmathsetmacro{\SA}{1.3*\SP};
  \coordinate (S) at (0,0);
  \coordinate (A) at (0:\SA);
  \coordinate (X) at (180:0.2*\SA);
  \draw[tangent=0.33, name path=qPQ] (A) arc (0:180:0.6*\SA cm and 0.44*\SA cm);
  \coordinate (P) at (tangent point-1);
  \coordinate (v) at ($(S)!0.86!(P)$);
  \draw [use tangent] (3.5,0) -- (-2.3,0);
  \path [use tangent, name path=qQ] (v) ++(2,0) -- +(-4,0);
  \path [name intersections={of={qPQ and qQ} }] (intersection-2);
  \coordinate (Q) at (intersection-2);
  \coordinate (q) at (intersection-1);
  \tkzDefLine[parallel=through q](v,P) \tkzGetPoint{Z}
  \tkzDefLine[parallel=through Q](v,P) \tkzGetPoint{R}
  \begin{pgfinterruptboundingbox}
  \tkzDefLine[orthogonal=through Q](P,v) \tkzGetPoint{T'}
  \coordinate (T) at (intersection of S--P and Q--T');
  \tkzDefLine[orthogonal=through S](R,P) \tkzGetPoint{Y'}
  \end{pgfinterruptboundingbox}
  \coordinate (Y) at (intersection of P--R and S--Y');
  \coordinate (V) at ($(P)!1.14!(S)$);
  \draw (V) -- (P);
  \draw (S) -- (Y);
  \draw[dashed] (S) -- (Q);
  \draw (Q) -- (q);
  \draw (Q) -- (R);
  \draw (Q) -- (T);
  \draw (q) -- (Z);
  \draw (X) -- (A);
  \draw (A) +(0:0.25) node{$A$};
  \draw (P) +(60:0.25) node{$P$};
  \draw (Q) +(130:0.25) node{$Q$};
  \draw (q) +(-130:0.25) node{$q$};
  \draw (R) +(60:0.25) node{$R$};
  \draw (S) +(-80:0.2) node{$S$};
  \draw (T) +(-60:0.25) node{$T$};
  \draw (V) +(145:0.15) node{$V$};
  \draw (v) +(-70:0.25) node{$v$};
  \draw (Y) +(-145:0.25) node{$Y$};
  \draw (Z) +(60:0.25) node{$Z$};
 \end{tikzpicture}
\end{document}
Empfohlene Zitierweise:
Isaac Newton: Mathematische Principien der Naturlehre. Robert Oppenheim, Berlin 1872, Seite 62. Digitale Volltext-Ausgabe bei Wikisource, URL: https://de.wikisource.org/w/index.php?title=Seite:Principien1872-062.png&oldid=- (Version vom 8.7.2021)