Seite:Principien1872-055.png

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LaTeX Source Code

% complile with »pdflatex -shell-escape«
\documentclass[tikz,convert=pdf2svg]{standalone}
\usepackage{tkz-euclide}
\usetkzobj{all}
\usetikzlibrary{calc,intersections}
\begin{document}
 \begin{tikzpicture}
  \tkzSetUpLine[line width=0.4pt]
  \pgfmathsetmacro{\SA}{5.2};
  \pgfmathsetmacro{\AB}{0.39*\SA};
  \coordinate (S) at (0,0);
  \coordinate (A) at (0:\SA);
  \coordinate (B) at ($(A)+(86:\AB)$);
  \coordinate (c) at ($(B)+(86:\AB)$);
  \tkzDefLine[parallel=through c](B,S) \tkzGetPoint{SCc}
  \coordinate (d*) at ($(B)+(109:\AB)$);
  \coordinate (C) at (intersection of B--d* and c--SCc);
  \coordinate (O) at (intersection of A--C and S--B);
  \tkzDefLine[parallel=through C](B,A) \tkzGetPoint{V}
  \begin{pgfinterruptboundingbox}
   \tkzInterLC(B,C)(C,B) \tkzGetPoints{d2}{d}
  \end{pgfinterruptboundingbox}
  \tkzDefLine[parallel=through d](C,S) \tkzGetPoint{SDd}
  \coordinate (e*) at ($(C)+(145:\AB)$);
  \coordinate (D) at (intersection of C--e* and d--SDd);
  \begin{pgfinterruptboundingbox}
   \tkzInterLC(C,D)(D,C) \tkzGetPoints{e2}{e}
   \tkzDefLine[parallel=through e](D,S) \tkzGetPoint{SEe}
  \end{pgfinterruptboundingbox}
  \coordinate (f*) at ($(D)+(175:\AB)$);
  \coordinate (E) at (intersection of D--f* and e--SEe);
  \begin{pgfinterruptboundingbox}
   \tkzInterLC(D,E)(E,D) \tkzGetPoints{f2}{f}
   \tkzDefLine[parallel=through f](E,S) \tkzGetPoint{SFf}
  \end{pgfinterruptboundingbox}
  \coordinate (g*) at ($(E)+(-161:\AB)$);
  \coordinate (F) at (intersection of E--g* and f--SFf);
  \coordinate (P) at (intersection of D--F and E--S);
  \tkzDefLine[parallel=through F](E,D) \tkzGetPoint{Z}
  \tkzDefLine[parallel=through E](e,D) \tkzGetPoint{D*}
  \tkzDefLine[parallel=through D](d,C) \tkzGetPoint{C*}
  \coordinate (C**) at (intersection of D--C* and d--S);
  \draw (A) -- (B);
  \draw (A) -- (S);
  \draw[dashed] (A) -- (C);
  \draw[dashed] (A) -- (V);
  \draw[dashed] (B) -- (c);
  \draw (B) -- (S);
  \draw (B) -- (C);
  \draw[dashed] (C) -- (V);
  \draw[dashed] (C*) -- (C**);
  \draw[dashed] (C) -- (c);
  \draw[dashed] (C) -- (d);
  \draw (C) -- (S);
  \draw (C) -- (D);
  \draw (D) -- (S);
  \draw (D) -- (E);
  \draw[dashed] (D) -- (F);
  \draw[dashed] (D) -- (Z);
  \draw[dashed] (D) -- (d);
  \draw[dashed] (D) -- (e);
  \draw (E) -- (S);
  \draw (E) -- (F);
  \draw[dashed] (E) -- (e);
  \draw[dashed] (E) -- (D*);
  \draw[dashed] (E) -- (f);
  \draw (F) -- (S);
  \draw[dashed] (F) -- (f);
  \draw[dashed] (F) -- (Z);
  \draw[dashed] (c) -- (S);
  \draw[dashed] (d) -- (S);
  \draw[dashed] (e) -- (S);
  \draw[dashed] (f) -- (S);
  \draw (A) +(-40:0.25) node{$A$};
  \draw (B) +(0:0.25) node{$B$};
  \draw (C) +(60:0.25) node{$C$};
  \draw (D) +(80:0.25) node{$D$};
  \draw (E) +(-130:0.3) node{$E$};
  \draw (F) +(180:0.25) node{$F$};
  \draw (O) +(-30:0.2) node{$O$};
  \draw (P) +(-135:0.25) node{$P$};
  \draw (S) +(-150:0.25) node{$S$};
  \draw (V) +(-110:0.3) node{$V$};
  \draw (Z) +(-140:0.25) node{$Z$};
  \draw (c) +(50:0.25) node{$c$};
  \draw (d) +(30:0.25) node{$d$};
  \draw (e) +(70:0.25) node{$e$};
  \draw (f) +(160:0.25) node{$f$};
 \end{tikzpicture}
\end{document}
Empfohlene Zitierweise:
Isaac Newton: Mathematische Principien der Naturlehre. Robert Oppenheim, Berlin 1872, Seite 55. Digitale Volltext-Ausgabe bei Wikisource, URL: https://de.wikisource.org/w/index.php?title=Seite:Principien1872-055.png&oldid=- (Version vom 12.5.2018)