File:Historical English length units chart.svg

Original file(SVG file, nominally 516 × 1,118 pixels, file size: 61 KB)

Captions

Captions

the relationships between assorted historical English length units

Summary

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Description
English: A log-scale chart of the relationships between assorted historical English length units with conversion factors. This is inspired by/a replacement for , and it corrects several inconsistencies and incorrect conversion factors, reformats to improve readability by putting related units in a single column and reducing crossed arrows, and removes several unverified units namely poppyseed, stick, and spindle. Furthermore, the chart is on a stricly log scale, rather than the inconsistently mixed log-linear scale of the original.
Date
Source Own work
Author Indigopari

Licensing

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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

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

%!tikz preamble begin
\newcommand\width{2.5}
\newcommand\colZ{-3*\width}
\newcommand\colA{-2*\width}
\newcommand\colB{-1*\width}
\newcommand\colC{0*\width}
\newcommand\colD{1*\width}
\newcommand\colE{2*\width}

\newcommand\height{3.5}
\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] (\colZ-1,#1) rectangle (\colE+1,#2);
}

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

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

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

\newcommand{\arrowcontrolled}[4]{
\draw [->, font=\tiny] (#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{\colA}{1.405\Bum}{mil}
\unit{\colB}{0.268\Bkm}{nautical mile}

\unit{\colA}{0.882\Bdm}{grade/step}
\unit{\colA}{0.183\Bm}{Roman pace}
\unit{\colA}{0.785\Bm}{rope}
\unit{\colA}{0.484\Bdam}{Ramsden's chain}
\unit{\colA}{0.183\Bkm}{Roman mile}


\unit{\colB}{1.246\Bum}{twip}
\unit{\colB}{2.548\Bum}{point}
\unit{\colB}{0.326\Bmm}{line}
\unit{\colB}{0.627\Bmm}{pica}
\unit{\colB}{0.928\Bmm}{barleycorn}
\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}{0.262\Bm}{fathom}
\unit{\colB}{0.438\Bdam}{shackle}
\unit{\colB}{0.040\Bhm}{skein}
\unit{\colB}{0.341\Bhm}{cable}

\unit{\colC}{0.280\Bcm}{digit}
\unit{\colC}{0.882\Bcm}{palm}
\unit{\colC}{0.183\Bdm}{shaftment}
\unit{\colC}{0.660\Bdm}{cubit}

\unit{\colD}{0.757\Bcm}{nail}
\unit{\colD}{0.058\Bdm}{finger}
\unit{\colD}{0.359\Bdm}{span}
\unit{\colD}{0.058\Bm}{ell}

\unit{\colE}{0.304\Bdm}{link}
\unit{\colE}{0.701\Bm}{rod}
\unit{\colE}{0.304\Bdam}{chain}
\unit{\colE}{0.304\Bhm}{furlong}
\unit{\colE}{0.207\Bkm}{mile}
\unit{\colE}{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{km}{nautical mile}{1.852}{(0.9*\colZ + 0.1*\colA, 0.4\Bkm)}

\arrow{grade/step}{Roman pace}{2}
\arrow{Roman pace}{rope}{4}
\arrow{rope}{Ramsden's chain}{5}
\arrow{Ramsden's chain}{Roman mile}{50}
\arrowcontrolled{foot}{Roman pace}{5}{(0.6*\colB + 0.4*\colA, 0.9\Bdm)}

\arrow{link}{rod}{25}
\arrow{rod}{chain}{4}
\arrow{chain}{furlong}{10}
\arrow{furlong}{mile}{8}
\arrow{mile}{league}{3}
\arrowcontrolled{cubit}{rod}{11}{(\colC, 0.2\Bm)}
\arrow{fathom}{chain}{11}

\arrowcontrolled{mil}{inch}{1000}{(0.7*\colA + 0.3*\colB, 0\Bcm)}
\arrow{point}{line}{6}
\arrow{twip}{point}{20}
\arrow{line}{pica}{2}
\arrow{pica}{barleycorn}{2}
\arrow{barleycorn}{inch}{3}
\arrow{inch}{hand}{4}
\arrow{hand}{foot}{3}
\arrow{foot}{yard}{3}
\arrow{yard}{fathom}{2}
\arrow{fathom}{shackle}{15}
\arrow{shackle}{skein}{4}
\arrow{skein}{cable}{2}
\arrow{ell}{shackle}{24}
\arrow{cm}{inch}{2.54}
\arrowcontrolled{m}{yard}{0.9144}{(\colA, 0.5\Bdm)}

\arrow{digit}{palm}{4}
\arrow{palm}{shaftment}{2}
\arrow{shaftment}{cubit}{3}

\arrow{inch}{digit}{$\frac{3}{4}$}
\arrow{inch}{palm}{3}
\arrow{shaftment}{foot}{2}
\arrow{cubit}{yard}{2}

\arrow{nail}{finger}{2}
\arrow{finger}{span}{2}
\arrow{span}{ell}{5}

\arrow{digit}{nail}{3}
\arrow{palm}{span}{3}
\arrow{span}{cubit}{2}
\arrow{cubit}{ell}{$\frac{5}{2}$}

\end{tikzpicture}
\end{document}
 
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current06:52, 4 April 2023Thumbnail for version as of 06:52, 4 April 2023516 × 1,118 (61 KB)Indigopari (talk | contribs)Uploaded own work with UploadWizard

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