diff --git a/.gitignore b/.gitignore
index 12d3767..648a77f 100644
--- a/.gitignore
+++ b/.gitignore
@@ -28,7 +28,7 @@ __pycache__
 
 env/
 *.pyc
-version.tex
+*.inc.tex
 db/
 _minted-*/
 *.qgz
diff --git a/IV/Makefile b/IV/Makefile
index 6dd0e9b..eecfe21 100644
--- a/IV/Makefile
+++ b/IV/Makefile
@@ -22,7 +22,7 @@ test-integration: .faux_filter-rivers
 clean:
 	-./db stop
 	-rm -r .faux_test .faux_filter-rivers .faux_import-osm .faux_db \
-		version.tex version.aux version.fdb_latexmk \
+		version.inc.tex vars.inc.tex version.aux version.fdb_latexmk \
 		test-figures.pdf _minted-mj-msc \
 		$(shell git ls-files -o mj-msc*) \
 		$(SLIDES) \
@@ -38,7 +38,7 @@ clean-tables:
 .PHONY: slides
 slides: $(SLIDES)
 
-mj-msc.pdf: mj-msc.tex test-figures.pdf version.tex bib.bib $(FIGURES)
+mj-msc.pdf: mj-msc.tex test-figures.pdf version.inc.tex vars.inc.tex bib.bib $(FIGURES)
 	latexmk -shell-escape -g -pdf $<
 
 mj-msc-gray.pdf: mj-msc.pdf
@@ -52,7 +52,7 @@ mj-msc-gray.pdf: mj-msc.pdf
 		-dBATCH \
 		$<
 
-mj-msc-full.pdf: mj-msc.pdf version.tex $(ARCHIVABLES)
+mj-msc-full.pdf: mj-msc.pdf version.inc.tex $(ARCHIVABLES)
 	cp $< .tmp-$@
 	for f in $^; do \
 		if [ "$$f" = "$<" ]; then continue; fi; \
@@ -137,9 +137,12 @@ $(SOURCE):
 	wget http://download.geofabrik.de/europe/$@
 
 REF = $(shell git describe --abbrev=12 --always --dirty)
-version.tex: Makefile $(shell git rev-parse --git-dir 2>/dev/null)
+version.inc.tex: Makefile $(shell git rev-parse --git-dir 2>/dev/null)
 	TZ=UTC date '+\gdef\VCDescribe{%F ($(REF))}%' > $@
 
+vars.inc.tex: vars.awk wm.sql Makefile
+	./$< wm.sql > $@
+
 slides-2021-03-29.pdf: slides-2021-03-29.txt
 	pandoc -t beamer -i $< -o $@
 
diff --git a/IV/mj-msc.tex b/IV/mj-msc.tex
index 2d54afa..b8f71a5 100644
--- a/IV/mj-msc.tex
+++ b/IV/mj-msc.tex
@@ -23,7 +23,8 @@
 \usepackage{minted}
 \usetikzlibrary{er,positioning}
 \definecolor{mypurple}{RGB}{117,112,179}
-\input{version}
+\input{version.inc}
+\input{vars.inc}
 
 \newcommand{\onpage}[1]{\ref{#1} on page~\pageref{#1}}
 
@@ -375,11 +376,14 @@ some bends that should be mutated. This implementation does it in the following
     \item Return result.
 \end{enumerate}
 
-The current implementation is the most straight-forward, but not optimal:
+The current implementation is the most straightforward, but not optimal:
 reversing of lines and bends could be avoided by walking backwards the lines.
 In this case, steps \ref{rev1} and \ref{rev2} could be remove. That would save
 both memory and computation time.
 
+The "quite small angle", as mentioned in the article, was arbitrarily chosen to
+$\smallAngle$.
+
 \section{Self-line Crossing When Cutting a Bend}
 
 \section{Attributes of a Single Bend}
diff --git a/IV/vars.awk b/IV/vars.awk
new file mode 100755
index 0000000..3bee31f
--- /dev/null
+++ b/IV/vars.awk
@@ -0,0 +1,20 @@
+#!/usr/bin/awk -f
+
+BEGIN {
+  FS="[() ]"
+}
+
+/small_angle constant real default radians/ {
+  if(d) {
+    exit 1
+  } else {
+    printf ("\\newcommand{\\smallAngle}{\\frac{\\pi}{%d}}\n",180/$8);
+    d=1
+  }
+}
+
+END{
+  if(!d){
+    exit 1
+  }
+}