File:US customary length units chart.svg

Original file(SVG file, nominally 250 × 799 pixels, file size: 33 KB)

Captions

Captions

chart of modern US customary length units

Summary edit

Description
English: A log-scale chart of the relationships between modern US customary length units, with conversion factors. This chart completely excludes any historical units that no longer have legal status in the US and are never used. It is formatted to highlight the 3 different interrelated length measurement systems in use, namely the metric, inch/foot-related, and mile-related system, and the relationships between those 3.
Date
Source Own work
Author Indigopari

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{-2.5}
\newcommand\colB{0}
\newcommand\colC{2.5}

\newcommand\height{2.5}
\newcommand\Band[1]{*\height*-1+#1*\height*-1}
\newcommand\Bsm{\Band{-5}}
\newcommand\Bum{\Band{-6}}
\newcommand\Bmm{\Band{-3}}
\newcommand\Bcm{\Band{-2}}
\newcommand\Bdm{\Band{-1}}
\newcommand\Bm{\Band{0}}
\newcommand\Bdam{\Band{1}}
\newcommand\Bhm{\Band{2}}
\newcommand\Bkm{\Band{3}}
\newcommand\Blm{\Band{4}}

\newcommand{\boxn}[2]{
\draw[gray] (\colA-1,#1) rectangle (\colC+1,#2);
}

\newcommand{\unit}[3]{
\node[unit] (#3) at (#1,#2) {#3};
}

\newcommand{\unitbox}[3]{
\boxn{#1}{#2}
\unit{\colA}{#1}{#3}
}

\newcommand{\arrow}[3]{
\draw [->, font=\small] (#1) -- node{#3} (#2);
}

\newcommand{\arrowcontrolled}[4]{
\draw [->, font=\small] (#1) .. controls #4 .. node{#3} (#2);
}
%!tikz preamble end


\begin{document}
\begin{tikzpicture}

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

\boxn{0\Bsm}{0\Bmm}
\unitbox{0\Bmm}{0\Bcm}{mm}
\unitbox{0\Bcm}{0\Bdm}{cm}
\unitbox{0\Bdm}{0\Bm}{dm}
\unitbox{0\Bm}{0\Bdam}{m}
\unitbox{0\Bdam}{0\Bhm}{dam}
\unitbox{0\Bhm}{0\Bkm}{hm}
\unitbox{0\Bkm}{0\Blm}{km}


\unit{\colB}{1.405\Bum}{mil}
\unit{\colB}{2.548\Bum}{point}
\unit{\colB}{0.627\Bmm}{pica}
\unit{\colB}{0.405\Bcm}{inch}
\unit{\colB}{0.007\Bdm}{hand}
\unit{\colB}{0.484\Bdm}{foot}
\unit{\colB}{0.961\Bdm}{yard}
\unit{\colB}{0.438\Bm}{fathom}%fathom should be 0.262\Bm instead of 0.438\Bm, but that didn't leave enough space for an arrow between yard and fathom
\unit{\colB}{0.341\Bhm}{cable}
\unit{\colB}{0.268\Bkm}{nautical mile}

\unit{\colC}{0.304\Bdm}{link}
\unit{\colC}{0.701\Bm}{rod}
\unit{\colC}{0.304\Bdam}{chain}
\unit{\colC}{0.304\Bhm}{furlong}
\unit{\colC}{0.207\Bkm}{mile}
\unit{\colC}{0.684\Bkm}{league}


\arrow{mm}{cm}{10}
\arrow{cm}{dm}{10}
\arrow{dm}{m}{10}
\arrow{m}{dam}{10}
\arrow{dam}{hm}{10}
\arrow{hm}{km}{10}

\arrowcontrolled{mil}{inch}{1000}{(0.7*\colC + 0.3*\colB, 2.7\Bum)}
\arrow{point}{pica}{12}
\arrow{pica}{inch}{6}
\arrow{inch}{hand}{4}
\arrow{hand}{foot}{3}
\arrow{foot}{yard}{3}
\arrow{yard}{fathom}{2}
\arrow{fathom}{cable}{120}

\arrow{link}{rod}{25}
\arrow{rod}{chain}{4}
\arrow{chain}{furlong}{10}
\arrow{furlong}{mile}{8}
\arrow{mile}{league}{3}

\arrowcontrolled{km}{nautical mile}{1.852}{(0.5*\colA + 0.5*\colB, 0.95\Bhm)}
\arrow{cm}{inch}{2.54}
\arrow{m}{yard}{0.9144}

\arrow{inch}{link}{7.92}
\arrowcontrolled{yard}{chain}{22}{(0.5*\colC + 0.5*\colB, 0.1\Bm)}
\arrowcontrolled{yard}{mile}{1760}{(0.5*\colC + 0.5*\colB, 0.2\Bm) and (0.6*\colC + 0.4*\colB, 0\Bkm)}

\end{tikzpicture}
\end{document}
 
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current07:11, 4 April 2023Thumbnail for version as of 07:11, 4 April 2023250 × 799 (33 KB)Indigopari (talk | contribs)Uploaded own work with UploadWizard

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