File:English Length Units Graph.svg

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Summary[edit]

Description
Deutsch: Diagramm englischer Längeneinheit und ihrer ganzzahligen Beziehungen zueinander
English: diagram of English length units and their integer relations to each other
Date
Source English length units graph (PNG)
Author 42CrMo4, Christoph Päper
Other versions

Licensing[edit]

I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.

Source[edit]

\documentclass{article}
\usepackage{tikz}
\usepackage[graphics, active, tightpage]{preview}
\PreviewEnvironment{tikzpicture}
\usepackage{ngerman}

%!tikz preamble begin
\newcommand\colA{-7.5}
\newcommand\colB{-5}
\newcommand\colC{-2.5}
\newcommand\colD{0}
\newcommand\colE{2.5}
\newcommand\colF{5}

\newcommand\Height{2.5}% cm per band
\newcommand\Band{*\Height/-10}
\newcommand\Bum{\Band}% µm 0..1000
\newcommand\Bmm{\Band-1*\Height}% mm 1..10
\newcommand\Bcm{\Band-2*\Height}% cm 1..10
\newcommand\Bdm{\Band-3*\Height}% dm 1..10
\newcommand\Bm{\Band-4*\Height}% m  1..10
\newcommand\Bdam{\Band-5*\Height}% Dm 1..10
\newcommand\Bhm{\Band-6*\Height}% Hm 1..10
\newcommand\Bkm{\Band-7*\Height}% Km 1..10
\newcommand\inch{*2.54}
\newcommand\yard{*0.9144}
%!tikz preamble end


\begin{document}
%!tikz source begin
\begin{tikzpicture}

\tikzset{unit/.style={rectangle,draw=black!50,fill=white!20},every node/.style={fill=white!20}};

\draw[gray] (\colA-1,0\Bum) rectangle (\colF,10\Bum); \node[unit] at (\colF,5\Bum) {$\mu$m};
\draw[gray] (\colA-1,0\Bmm) rectangle (\colF,10\Bmm); \node[unit] at (\colF,5\Bmm) {mm};
\draw[gray] (\colA-1,0\Bcm) rectangle (\colF,10\Bcm); \node[unit] at (\colF,5\Bcm) {cm};
\draw[gray] (\colA-1,0\Bdm) rectangle (\colF,10\Bdm); \node[unit] at (\colF,5\Bdm) {dm};
\draw[gray] (\colA-1,0\Bm) rectangle (\colF,10\Bm); \node[unit] at (\colF,5\Bm) {m};
\draw[gray] (\colA-1,0\Bdam) rectangle (\colF,10\Bdam); \node[unit] at (\colF,5\Bdam) {dam};
\draw[gray] (\colA-1,0\Bhm) rectangle (\colF,10\Bhm); \node[unit] at (\colF,5\Bhm) {hm};
\draw[gray] (\colA-1,0\Bkm) rectangle (\colF,10\Bkm); \node[unit] at (\colF,5\Bkm) {km};

\node[unit] (twip) at (\colC,5/72\inch\Bum) {twip};
\node[unit] (point) at (\colB,100/72\inch\Bum) {point};
\node[unit] (pica) at (\colB,25.4/6\Bmm) {pica};

\node[unit] (line) at (\colC,25.4/12\Bmm) {line};

\node[unit] (poppyseed) at (\colE,25.4/12\Bmm) {poppyseed};
\node[unit] (barleycorn) at (\colE,25.4/3\Bmm) {barleycorn};

\node[unit] (inch) at (\colD,2.54\Bcm) {inch};
\node[unit] (foot) at (\colD,3.048\Bdm) {foot};
\node[unit] (yard) at (\colD,9.144\Bdm) {yard};

\node[unit] (stick) at (\colE,2\inch\Bcm) {stick};
\node[unit] (nail) at (\colA,100\yard/16\Bcm) {nail};

\node[unit] (finger) at (\colC,7/8\inch\Bcm) {finger};

\node[unit] (digit) at (\colB,3/4\inch\Bcm) {digit};
\node[unit] (palm) at (\colB,3\inch\Bcm) {palm};
\node[unit] (hand) at (\colE,0.4\inch\Bdm) {hand};
\node[unit] (shaftment) at (\colC,0.6\inch\Bdm) {shaftment};
\node[unit] (span) at (\colA,0.9\inch\Bdm) {span};

\node[unit] (cubit) at (\colB,1.8\inch\Bdm) {cubit};
\node[unit] (ell) at (\colA,0.45\inch\Bm) {ell};

\node[unit] (skein) at (\colA,1.2\yard\Bhm) {skein};
\node[unit] (spindle) at (\colA,12\yard\Bkm) {spindle};

\node[unit] (pace) at (\colC,3\inch\Bdm) {pace};
\node[unit] (grade) at (\colB,.6\inch\Bm) {grade, step};
\node[unit] (mileRoman) at (\colB,.6\inch\Bkm) {Roman mile};

\node[unit] (rope) at (\colB,2.4\inch\Bm) {rope};

\node[unit] (fathom) at (\colE,2\yard\Bm) {fathom};
\node[unit] (shackle) at (\colE,3\yard\Bdam) {shackle};
\node[unit] (cable) at (\colE,2\yard\Bhm) {cable};
\node[unit] (milenautic) at (\colE,.608*1.2\inch\Bkm) {nautical mile};
\node[unit] (league) at (\colC,.608*3.6\inch\Bkm) {league};

\node[unit] (link) at (\colB,198/250\inch\Bdm) {link};
\node[unit] (rod) at (\colC,1.98\inch\Bm) {\parbox{1.8cm}{rod, pole, perch}};
\node[unit] (chainGunter) at (\colC,.792\inch\Bdam) {\parbox{1.8cm}{Gunter's chain}};

\node[unit] (chainRamsden) at (\colB,1.2\inch\Bdam) {\parbox{2cm}{Ramsden's chain}};

\node[unit] (furlong) at (\colC,2.2\yard\Bhm) {furlong};
\node[unit] (milestatute) at (\colD,1.76\yard\Bkm) {mile};%statute mile

%typography
\draw [->] (twip) -- node{20} (point);
\draw [->] (point) -- node{12} (pica);
\draw [->] (pica) -- node{6} (inch);

\draw [->] (point) -- node{6} (line);

\draw (line) -- node{1} (poppyseed);% =

\draw [->] (line) -- node{12} (inch);
\draw [->] (poppyseed) -- node{4} (barleycorn);
\draw [->] (barleycorn) -- node{3} (inch);
 
\draw [->] (inch) -- node{$\frac78$} (finger);
\draw [->] (point) -- node{63} (finger);% 7/8in = 21/2line = 63pt

\draw [->] (grade) -- node{4} (rope);
\draw [->] (rope) -- node{5} (chainRamsden);
 
% Textile
\draw [->] (ell) -- node{96} (skein);
\draw [->] (skein) -- node{120} (spindle);
 
\draw [->] (inch) -- node{2} (stick);
\draw [->] (stick) -- node{2} (hand);
\draw [->] (digit) -- node{4} (palm);
\draw [->] (inch) -- node{3} (palm);
\draw [->] (digit) -- node{3} (nail);
\draw [->] (nail) -- node{4} (span);
\draw [->] (palm) -- node{2} (shaftment);
\draw [->] (palm) -- node{3} (span);
 
\draw [->,thick] (inch) -- node{12} (foot);
\draw [->] (hand) -- node{3} (foot);
\draw [->] (shaftment) -- node{2} (foot);
\draw [->] (shaftment) -- node{3} (cubit);
\draw [->] (span) -- node{2} (cubit);
\draw [->] (span) -- node{5} (ell);
 
\draw [->,thick] (foot) -- node{3} (yard);
%\draw [->] (cubit) -- node{2} (yard);
\draw [->] (cubit) .. controls (.5\colC+.5\colD,6\Bdm) .. node{2} (yard);
 
% Military, Roman
%\draw [->] (foot) -- node{5} (grade);
\draw [->] (shaftment) -- node{5} (pace);
%\draw [->] (foot) -- node{$2\frac12$} (pace);
\draw [->] (pace) .. controls (\colB,8\Bdm) .. node{2} (grade);
%\draw [->] (grade) -- node{1000} (mileRoman);
 
%\draw [->] (foot) -- node{6} (fathom);
\draw [->] (yard) -- node{2} (fathom);

\draw [->,thick] (yard) -- node{1760} (milestatute);
 
\draw [->] (cubit) -- node{11} (rod);
 
\draw [->] (fathom) -- node{11} (chainGunter);
\draw [->] (rod) -- node{4} (chainGunter);
\draw [->] (link) .. controls (\colC,1.5\Bm) .. node{25} (rod);
\draw [->] (chainGunter) -- node{10} (furlong);
\draw [->] (furlong) -- node{8} (milestatute);
\draw [->] (chainRamsden) -- node{50} (mileRoman);
 
\draw [->] (milenautic) -- node{3} (league);
 
%nautic
\draw [->] (fathom) -- node{15} (shackle);
\draw [->] (fathom) .. controls (.25*\colE,3\Bdam) .. node{100} (cable);
\draw [->] (cable) -- node{10} (milenautic);
\draw [->] (foot) .. controls (\colF,3\Bm) .. node{6080} (milenautic);

\end{tikzpicture}
%!tikz source end

\end{document}
 
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Date/TimeThumbnailDimensionsUserComment
current23:28, 19 January 2023Thumbnail for version as of 23:28, 19 January 2023400 × 600 (81 KB)Antonsusi (talk | contribs)bigger lines
00:46, 31 July 2017Thumbnail for version as of 00:46, 31 July 2017992 × 1,466 (80 KB)42CrMo4 (talk | contribs)cleaned up svg code with scour. changed size
19:58, 27 July 2017Thumbnail for version as of 19:58, 27 July 2017496 × 737 (120 KB)42CrMo4 (talk | contribs)User created page with UploadWizard

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