From 3c673ca7bf9d23e595438421806d2c0c721b9eca Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?Motiejus=20Jak=C5=A1tys?= <motiejus@uber.com>
Date: Mon, 3 May 2021 16:10:53 +0300
Subject: [PATCH] add another popular scale

---
 IV/bib.bib    |  2 +-
 IV/mj-msc.tex | 23 ++++++++++++-----------
 2 files changed, 13 insertions(+), 12 deletions(-)

diff --git a/IV/bib.bib b/IV/bib.bib
index fb427a6..c83ffbf 100644
--- a/IV/bib.bib
+++ b/IV/bib.bib
@@ -207,7 +207,7 @@
 
 @online{epsg3857,
   author={MapTiler Team},
-  title={WGS 84 / Pseudo-Mercator},
+  title={WGS 84/Pseudo-Mercator},
   url={https://epsg.io/3857},
   urldate={2021-05-03},
 }
diff --git a/IV/mj-msc.tex b/IV/mj-msc.tex
index 9c239d9..2b56b00 100644
--- a/IV/mj-msc.tex
+++ b/IV/mj-msc.tex
@@ -560,31 +560,32 @@ when adjusted to scale, will not be generalized.
   \begin{tikzpicture}[x=1mm,y=1mm]
       \draw[] (-10, 0) -- (-.75,0) arc (225:-45:.75) -- (10, 0);
   \end{tikzpicture}
-  \caption{Smallest feature that will be not generalized.}
+  \caption{Smallest feature that will be not generalized (to scale).}
   \label{fig:half-circle}
 \end{figure}
 
 {\WM} algorithm does not have a notion of scale, but it does have a notion of
-distance. Assuming measurement units in projected coordinate system are meters
-(for example, \titlecite{epsg3857}), conversion is depicted in
+distance: it accepts a single parameter $D$, the half-circle's diameter.
+Assuming measurement units in projected coordinate system are meters (for
+example, \titlecite{epsg3857}), conversion is depicted in
 table~\ref{table:scale-halfcirlce-diameter}.
 
 \newcolumntype{d}[1]{D{.}{.}{#1} }
 \begin{table}[h]
     \centering
-    \begin{tabular}{|c @{:}l | D{.}{.}{1} |}
+    \begin{tabular}{|c @{:}r | D{.}{.}{1} |}
         \hline
-        \multicolumn{2}{|c|}{Scale} & \multicolumn{1}{c|}{Diameter (m)} \\ \hline
-        1 & 10000                   & 15 \\ \hline
-        1 & 25000                   & 37.5 \\ \hline
-        1 & 50000                   & 50 \\ \hline
-        1 & 250000                  & 250 \\ \hline
+        \multicolumn{2}{|c|}{Scale} & \multicolumn{1}{c|}{$D(m)$} \\ \hline
+        1 & 10000                   & 15                          \\ \hline
+        1 & 15000                   & 22.5                        \\ \hline
+        1 & 25000                   & 37.5                        \\ \hline
+        1 & 50000                   & 50                          \\ \hline
+        1 & 250000                  & 250                         \\ \hline
     \end{tabular}
-    \caption{{\WM} parameter table for popular scales.}
+    \caption{{\WM} parameter $D$ (half-circle diameter) for popular scales.}
     \label{table:scale-halfcirlce-diameter}
 \end{table}
 
-
 \subsection{Definition of a Bend}
 \label{sec:definition-of-a-bend}