10 files changed, 285 insertions, 133 deletions

diff --git a/mat/domace_naloge/16/cstresica.tex b/mat/domace_naloge/16/cstresica.tex
new file mode 100644
index 0000000..c80277e
--- /dev/null
+++ b/mat/domace_naloge/16/cstresica.tex
@@ -0,0 +1,36 @@
+\begin{center}
+	\begin{tikzpicture}
+		\tkzDefPoint(0,0){A} \tkzDefPoint(7,0){B}
+		\tkzLabelLine[belowi left](A,B){$a$} \tkzCompass(A,B)
+		\tkzDefMidPoint(A,B) \tkzGetPoint{M} \tkzCompass(A,M) \tkzCompass(B,M)
+		\tkzInterLC(A,M)(A,M) \tkzGetPoints{X}{0} \tkzCompass(A,X)
+		\tkzDrawLine(X,B) \tkzInterCC(X,M)(M,X) \tkzGetPoints{P}{R}
+		\tkzCompass(X,P) \tkzCompass(X,R) \tkzCompass(M,P) \tkzCompass(M,R)
+		\tkzDrawLine(P,R) \tkzInterLC(P,R)(A,M) \tkzGetPoints{V}{W}
+		\tkzCompass(A,V) \tkzCompass(A,W)
+		\tkzDefMidPoint(M,V) \tkzGetPoint{6} \tkzCompass(M,6) \tkzCompass(V,6)
+		\tkzDefMidPoint(M,W) \tkzGetPoint{7} \tkzCompass(M,7) \tkzCompass(W,7)
+		\tkzInterLC(V,A)(V,A) \tkzGetPoints{T}{0} \tkzCompass(V,T)
+		\tkzInterLC(W,A)(W,A) \tkzGetPoints{U}{0} \tkzCompass(W,U)
+		\tkzInterCC(A,T)(T,A) \tkzGetPoints{1}{2}
+		\tkzCompass(A,1) \tkzCompass(A,2) \tkzCompass(T,1) \tkzCompass(T,2)
+		\tkzInterCC(A,U)(U,A) \tkzGetPoints{3}{4}
+		\tkzCompass(A,4) \tkzCompass(A,3) \tkzCompass(U,3) \tkzCompass(U,4)
+		\tkzDrawLine(1,2) \tkzDrawLine(3,4)
+		\tkzInterLL(A,6)(1,2) \tkzGetPoint{D1} \tkzDrawLine(A,D1)
+		\tkzInterLL(A,7)(3,4) \tkzGetPoint{D2} \tkzDrawLine(A,D2)
+		\tkzInterCC(B,M)(M,B) \tkzGetPoints{H}{G}
+		\tkzCompass(B,G) \tkzCompass(B,H) \tkzCompass(M,G) \tkzCompass(M,H)
+		\tkzInterLL(V,D1)(B,G) \tkzGetPoint{C1} \tkzDrawLine(B,C1)
+		\tkzInterLL(W,D2)(B,H) \tkzGetPoint{C2} \tkzDrawLine(B,C2)
+		\tkzLabelLine[below left](B,C1){$b1$}
+		\tkzLabelLine[above left](B,C2){$b2$}
+		\tkzLabelLine[below](D1,C1){$c1$} \tkzLabelLine[below](D2,C2){$c2$}
+		\tkzLabelLine[below left](A,D2){$d2$}
+		\tkzLabelLine[above left](A,D1){$d1$}
+		\tkzDrawPolygon[fill=red!30, opacity=.3](A,B,C1,D1)
+		\tkzDrawPolygon[fill=blue!30, opacity=.3](A,B,C2,D2)
+		\tkzMarkRightAngles(X,A,P A,V,D1 A,W,D2)
+		\tkzDrawPoints(A) \tkzLabelPoints(A,B,D1,D2,C1,C2)
+	\end{tikzpicture}
+\end{center}
diff --git a/mat/domace_naloge/16/dokument.aux b/mat/domace_naloge/16/dokument.aux
index cf72034..8428890 100644
--- a/mat/domace_naloge/16/dokument.aux
+++ b/mat/domace_naloge/16/dokument.aux
@@ -18,7 +18,8 @@
 \providecommand\HyField@AuxAddToCoFields[2]{}
 \@writefile{toc}{\contentsline {section}{\numberline {1}Vaje 2: stran 38, naloga 232}{1}{section.1}\protected@file@percent }
 \@writefile{lol}{\contentsline {lstlisting}{a.tex}{2}{lstlisting.-1}\protected@file@percent }
-\@writefile{lol}{\contentsline {lstlisting}{d.tex}{4}{lstlisting.-2}\protected@file@percent }
-\@writefile{lol}{\contentsline {lstlisting}{e.tex}{5}{lstlisting.-3}\protected@file@percent }
-\@writefile{toc}{\contentsline {section}{\numberline {2}Anketa}{6}{section.2}\protected@file@percent }
-\@writefile{toc}{\contentsline {section}{\numberline {3}Zaključek}{6}{section.3}\protected@file@percent }
+\@writefile{lol}{\contentsline {lstlisting}{cstresica.tex}{3}{lstlisting.-2}\protected@file@percent }
+\@writefile{lol}{\contentsline {lstlisting}{d.tex}{5}{lstlisting.-3}\protected@file@percent }
+\@writefile{lol}{\contentsline {lstlisting}{e.tex}{6}{lstlisting.-4}\protected@file@percent }
+\@writefile{toc}{\contentsline {section}{\numberline {2}Anketa}{7}{section.2}\protected@file@percent }
+\@writefile{toc}{\contentsline {section}{\numberline {3}Zaključek}{7}{section.3}\protected@file@percent }
diff --git a/mat/domace_naloge/16/dokument.log b/mat/domace_naloge/16/dokument.log
index dbf41d2..efdf291 100644
--- a/mat/domace_naloge/16/dokument.log
+++ b/mat/domace_naloge/16/dokument.log
@@ -1,4 +1,4 @@
-This is pdfTeX, Version 3.14159265-2.6-1.40.20 (TeX Live 2019/Debian) (preloaded format=pdflatex 2020.11.12)  16 NOV 2020 14:26
+This is pdfTeX, Version 3.14159265-2.6-1.40.20 (TeX Live 2019/Debian) (preloaded format=pdflatex 2020.11.12)  16 NOV 2020 17:11
 entering extended mode
  \write18 enabled.
  %&-line parsing enabled.
@@ -1479,43 +1479,59 @@ LaTeX Font Info:    Trying to load font information for TS1+cmtt on input line
 
 (/usr/share/texlive/texmf-dist/tex/latex/base/ts1cmtt.fd
 File: ts1cmtt.fd 2019/12/16 v2.5j Standard LaTeX font definitions
-) [2]) (./d.tex
-Overfull \hbox (47.58186pt too wide) in paragraph at lines 33--34
+) [2]) (./cstresica.tex
+
+! Package pgfkeys Error: I do not know the key '/tikz/belowi left' and I am goi
+ng to ignore it. Perhaps you misspelled it.
+
+See the pgfkeys package documentation for explanation.
+Type  H <return>  for immediate help.
+ ...                                              
+                                                  
+l.4 		\tkzLabelLine[belowi left](A,B){$a$}
+                                           \tkzCompass(A,B)
+This error message was generated by an \errmessage
+command, so I can't give any explicit help.
+Pretend that you're Hercule Poirot: Examine all clues,
+and deduce the truth by order and method.
+
+
+Overfull \hbox (42.10782pt too wide) in paragraph at lines 35--36
  [] 
  []
 
-) (./d.tex [3]) (./e.tex
-Overfull \hbox (99.38136pt too wide) in paragraph at lines 30--31
+) (./cstresica.tex [3]) (./d.tex
+Overfull \hbox (47.58186pt too wide) in paragraph at lines 33--34
  [] 
  []
 
-[4]) (./e.tex [5])
+[4]) (./d.tex [5]) (./e.tex) (./e.tex [6])
 
 Package hyperref Warning: Composite letter `\textasciicaron+c'
 (hyperref)                not defined in PD1 encoding,
-(hyperref)                removing `\textasciicaron' on input line 143.
+(hyperref)                removing `\textasciicaron' on input line 144.
 
 
-Overfull \hbox (9.1613pt too wide) in paragraph at lines 144--149
+Overfull \hbox (9.1613pt too wide) in paragraph at lines 145--150
 \OT1/cmr/m/n/10 /ali []$\OT1/cmtt/m/n/10 https : / / git . sijanec . eu / sijan
 ec / sola-[]gimb-[]2 / raw / branch / master / mat / domace _ naloge / 16 / dok
 ument . pdf$[]\OT1/cmr/m/n/10 . 
  []
 
-[6]
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-Package atveryend Info: Empty hook `AfterLastShipout' on input line 161.
+[7]
+Package atveryend Info: Empty hook `BeforeClearDocument' on input line 162.
+Package atveryend Info: Empty hook `AfterLastShipout' on input line 162.
  (./dokument.aux)
-Package atveryend Info: Executing hook `AtVeryEndDocument' on input line 161.
-Package atveryend Info: Executing hook `AtEndAfterFileList' on input line 161.
+Package atveryend Info: Executing hook `AtVeryEndDocument' on input line 162.
+Package atveryend Info: Executing hook `AtEndAfterFileList' on input line 162.
 Package rerunfilecheck Info: File `dokument.out' has not changed.
 (rerunfilecheck)             Checksum: 8D55BA0237B9BD7D1467121174E5B40B;148.
  ) 
 Here is how much of TeX's memory you used:
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- 965960 string characters out of 11690443
- 13542625 words of memory out of 24000000
- 56187 multiletter control sequences out of 15000+600000
+ 42095 strings out of 482235
+ 969510 string characters out of 11690443
+ 13542623 words of memory out of 24000000
+ 56353 multiletter control sequences out of 15000+600000
  545630 words of font info for 75 fonts, out of 12000000 for 9000
  395 hyphenation exceptions out of 8191
  75i,13n,153p,1061b,3578s stack positions out of 5000i,500n,10000p,12000000b,80000s
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 .pfb>
-Output written on dokument.pdf (6 pages, 190494 bytes).
+Output written on dokument.pdf (7 pages, 198007 bytes).
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- 276 PDF objects out of 1000 (max. 8388607)
- 231 compressed objects within 3 object streams
- 113 named destinations out of 1000 (max. 500000)
+ 344 PDF objects out of 1000 (max. 8388607)
+ 298 compressed objects within 3 object streams
+ 166 named destinations out of 1000 (max. 500000)
  141 words of extra memory for PDF output out of 10000 (max. 10000000)
 
diff --git a/mat/domace_naloge/16/dokument.pdf b/mat/domace_naloge/16/dokument.pdf
index f40a685..10d66e7 100644
--- a/mat/domace_naloge/16/dokument.pdf
+++ b/mat/domace_naloge/16/dokument.pdf
diff --git a/mat/domace_naloge/16/dokument.synctex.gz b/mat/domace_naloge/16/dokument.synctex.gz
index 45ee56c..885d38a 100644
--- a/mat/domace_naloge/16/dokument.synctex.gz
+++ b/mat/domace_naloge/16/dokument.synctex.gz
diff --git a/mat/domace_naloge/16/dokument.tex b/mat/domace_naloge/16/dokument.tex
index 41465ea..4d11f6b 100644
--- a/mat/domace_naloge/16/dokument.tex
+++ b/mat/domace_naloge/16/dokument.tex
@@ -83,7 +83,7 @@
 	\par
 	\vskip 1.5em}
 %opening
-\newcommand{\snovdn}{Paralelogram in trapez }
+\newcommand{\snovdn}{Štirikotnik: trapez }
 \newcommand{\predmdn}{mat}
 \newcommand{\stevilkadn}{16}
 \newcommand{\cm}[1]{\SI{#1}{\centi\meter}}
@@ -110,7 +110,7 @@
 \newcommand{\iic}{I\textsuperscript{2}C }
 % \patchcmd{\thebibliography}{\section*{\refname}}{}{}{}
 \title{%
-	\snovdn --- \stevilkadn. vaja \\
+	\snovdn --- \stevilkadn. domača naloga \\
 	\large Matematika, Gimnazija Bežigrad}
 \author{\begin{tabular}{rl}
 		\textbf{Profesor:} & prof. Vilko Domajnko\\
@@ -132,9 +132,10 @@ Ta dokument vsebuje domačo nalogo vključujoč snov \textit{\snovdn}, ki nam jo
 			\input{a.tex} \lstinputlisting[language=TeX]{a.tex}
 		\setcounter{enumii}{3}
 		\item $a=\cm{7}, \alpha=\ang{45}, \gamma=\ang{120}, v=\cm{3}$
+			\input{cstresica.tex} \lstinputlisting[language=TeX]{cstresica.tex}
 		\item $a=\cm{8}, b=\cm{4}, c=\cm{3}, d=\cm{5}$
 			\input{d.tex} \lstinputlisting[language=TeX]{d.tex}
-		\item $a=\cm{6}, \alpha=\cm{45}, \beta=\ang{120}, c=\cm{3}$
+		\item $a=\cm{6}, \alpha=\ang{45}, \beta=\ang{60}, c=\cm{3}$
 			\input{e.tex} \lstinputlisting[language=TeX]{e.tex}
 	\end{enumerate}
 \end{enumerate}
diff --git a/mat/domace_naloge/16/dokument.toc b/mat/domace_naloge/16/dokument.toc
index 62fb8b0..280796e 100644
--- a/mat/domace_naloge/16/dokument.toc
+++ b/mat/domace_naloge/16/dokument.toc
@@ -1,3 +1,3 @@
 \contentsline {section}{\numberline {1}Vaje 2: stran 38, naloga 232}{1}{section.1}%
-\contentsline {section}{\numberline {2}Anketa}{6}{section.2}%
-\contentsline {section}{\numberline {3}Zaključek}{6}{section.3}%
+\contentsline {section}{\numberline {2}Anketa}{7}{section.2}%
+\contentsline {section}{\numberline {3}Zaključek}{7}{section.3}%
diff --git a/mat/domace_naloge/16/e.tex b/mat/domace_naloge/16/e.tex
index 4f62cd2..dc1f2c8 100644
--- a/mat/domace_naloge/16/e.tex
+++ b/mat/domace_naloge/16/e.tex
@@ -1,31 +1,46 @@
 \begin{center}
 	\begin{tikzpicture}
-		\tkzDefPoint(0,0){A} \tkzDefPoint(7,0){B} \tkzDefPoint(7/2+3,0){vH}
-		\tkzLabelLine[below left](A,B){$a$} \tkzCompass(A,B)
-		\tkzInterCC(A,B)(B,A) \tkzGetPoints{P1}{P2}
-		\tkzCompass(A,P1) \tkzCompass(B,P1) \tkzCompass(A,P2)\tkzCompass(B,P2)
-		\tkzDrawLine(P1,P2) \tkzInterLL(P1,P2)(A,B) \tkzGetPoint{M}
-		\tkzInterLC(P1,P2)(M,vH) \tkzGetPoints{V}{VUSELESS} \tkzCompass(M,V)
-		\tkzInterLC(P1,P2)(V,M) \tkzGetPoints{VX}{MAGAIN} \tkzCompass(V,VX)
-		\tkzInterCC(M,VX)(VX,M) \tkzGetPoints{V1}{V2}
-		\tkzCompass(M,V1)\tkzCompass(M,V2)\tkzCompass(VX,V1)\tkzCompass(VX,V2)
-		\tkzDrawLine(V1,V2) \tkzInterLL(P1,P2)(V1,V2) \tkzGetPoint{M2}
-		\tkzInterLC(A,B)(A,M) \tkzGetPoints{MX}{MAGAIN} \tkzCompass(A,MX)
-		\tkzInterCC(MX,M)(M,MX) \tkzGetPoints{A1}{A2}
-		\tkzDrawLine(A1,A2) \tkzInterLL(A1,A2)(V1,V2) \tkzGetPoint{AV}
-		\tkzInterLC(A,B)(A,AV) \tkzGetPoints{USELESS}{AK9} \tkzCompass(A,AK9)
-		\tkzDefMidPoint(AV,AK9) \tkzGetPoint{AK}
-		\tkzCompass(AV,AK) \tkzCompass(AK9,AK)
-		\tkzInterLL(V1,V2)(A,AK) \tkzGetPoint{D}
-		\tkzDrawLine(A,D) \tkzLabelLine[above left](A,D){$d$}
-		\tkzInterLC(A,B)(B,M) \tkzGetPoints{MAGAIN}{MXB} \tkzCompass(B,MXB)
-		\tkzDrawLine(MX,MXB) \tkzInterCC(B,MXB)(MXB,B)
-		\tkzGetPoints{120}{USELESS} \tkzCompass(B,120) \tkzCompass(MXB,120)
-		\tkzInterLL(B,120)(V1,V2) \tkzGetPoint{C}
-		\tkzDrawLine(B,C) \tkzLabelLine[below right](B,C){$b$}
-		\tkzLabelLine[below](D,C){$c$}
-		\tkzDrawPolygon[fill=blue!30, opacity=.3](A,B,C,D)
-		\tkzMarkRightAngles(A,M,P1 M,M2,V2 M,A,AV A,AV,V)
-		\tkzDrawPoints(A) \tkzLabelPoints(A,B,D,C)
+		\tkzDefPoint(0,0){A} \tkzDefPoint(6,0){B}
+		\tkzLabelLine[below](A,B){$a$} \tkzCompass(A,B)
+		\tkzDefMidPoint(A,B) \tkzGetPoint{M} \tkzCompass(A,M) \tkzCompass(B,M)
+		\tkzInterLC(A,M)(A,M) \tkzGetPoints{MX}{MAGAIN} \tkzCompass(A,MX)
+		\tkzDrawLine(MX,B) \tkzInterCC(MX,M)(M,MX) \tkzGetPoints{P1}{P2}
+		\tkzCompass(MX,P1) \tkzCompass(M,P1)
+		\tkzCompass(MX,P2) \tkzCompass(M,P2)
+		\tkzDrawLine(P1,P2) \tkzInterLC(P1,P2)(A,M) \tkzGetPoints{M1}{M2}
+		\tkzCompass(A,M1) \tkzCompass(A,M2)
+		\tkzDefMidPoint(M1,M) \tkzGetPoint{A1}
+		\tkzCompass(M,A1) \tkzCompass(M1,A1)
+		\tkzDefMidPoint(M2,M) \tkzGetPoint{A2}
+		\tkzCompass(M,A2) \tkzCompass(M2,A2)
+		\tkzInterCC(M,A)(A,M) \tkzGetPoints{M2}{M1}
+		\tkzCompass(M,M1) \tkzCompass(M,M2) \tkzCompass(A,M1)\tkzCompass(A,M2)
+		\tkzInterLL(A,A1)(M,M1) \tkzGetPoint{D1}
+		\tkzInterLL(A,A2)(M,M2) \tkzGetPoint{D2}
+		\tkzDrawLine(M,D1) \tkzDrawLine(M,D2) \tkzLabelLine[left](A,D1){$d1$}
+		\tkzDrawLine(A,D1) \tkzDrawLine(A,D2) \tkzLabelLine[left](A,D2){$d2$}
+		\tkzInterCC(M,B)(B,M) \tkzGetPoints{B1}{B2}
+		\tkzCompass(M,B1) \tkzCompass(M,B1) \tkzCompass(B,B1)\tkzCompass(B,B2)
+		\tkzDrawLine(B,B1) \tkzDrawLine(B,B2)
+		\tkzInterLL(D1,D2)(A,B) \tkzGetPoint{DM}
+		\tkzInterLC(D1,D2)(D1,DM) \tkzGetPoints{M1X}{USEL} \tkzCompass(D1,M1X)
+		\tkzInterLC(D1,D2)(D2,DM) \tkzGetPoints{USEL}{M2X} \tkzCompass(D2,M2X)
+		\tkzDrawLine(M1X,M2X)
+		\tkzInterCC(DM,M1X)(M1X,DM) \tkzGetPoints{V1}{V2}
+		\tkzCompass(DM,V1) \tkzCompass(M1X,V1)
+		\tkzCompass(DM,V2) \tkzCompass(M1X,V2)
+		\tkzInterCC(DM,M2X)(M2X,DM) \tkzGetPoints{W1}{W2}
+		\tkzCompass(DM,W1) \tkzCompass(M2X,W1)
+		\tkzCompass(DM,W2) \tkzCompass(M2X,W2)
+		\tkzInterLL(B,B1)(V1,V2) \tkzGetPoint{C1}
+		\tkzInterLL(B,B2)(W1,W2) \tkzGetPoint{C2}
+		\tkzDrawLine(D1,C1) \tkzLabelLine[below](D1,C1){$c1$}
+		\tkzDrawLine(D2,C2) \tkzLabelLine[below](D2,C2){$c2$}
+		\tkzLabelLine[below left](B,C1){$b1$}
+		\tkzLabelLine[above left](B,C2){$b2$}
+		\tkzDrawPolygon[fill=blue!30, opacity=0000.3000](A,B,C1,D1)
+		\tkzDrawPolygon[fill=red!30, opacity=0000.3000](A,B,C2,D2)
+		\tkzMarkRightAngles(M,A,P1 A,DM,D1)
+		\tkzDrawPoints(A) \tkzLabelPoints(A,B,M,D1,D2,C1,C2)
 	\end{tikzpicture}
 \end{center}
diff --git a/mat/domace_naloge/16/stderr.log b/mat/domace_naloge/16/stderr.log
index 0caa893..8763a10 100644
--- a/mat/domace_naloge/16/stderr.log
+++ b/mat/domace_naloge/16/stderr.log
@@ -1 +1 @@
-<</Type/XRef/Filter/FlateDecode/ID[<EE5B065287F709CBA926C41637DC3E13><EE5B065287F709CBA926C41637DC3E13>]/Index[ 0 277]/Info 275 0 R/Length 680/Root 274 0 R/Size 277/W[ 1 3 1]>>
+<</Type/XRef/Filter/FlateDecode/ID[<CD25DE2EB973FE861135C91987827DAD><CD25DE2EB973FE861135C91987827DAD>]/Index[ 0 345]/Info 343 0 R/Length 802/Root 342 0 R/Size 345/W[ 1 3 1]>>
diff --git a/mat/domace_naloge/16/stdout.log b/mat/domace_naloge/16/stdout.log
index 871e0eb..6b49d80 100644
--- a/mat/domace_naloge/16/stdout.log
+++ b/mat/domace_naloge/16/stdout.log
@@ -453,24 +453,36 @@ your preamble.
 (/usr/share/texlive/texmf-dist/tex/latex/listings/lstlang2.sty)
 (/usr/share/texlive/texmf-dist/tex/latex/listings/lstlang3.sty)
 (/usr/share/texlive/texmf-dist/tex/latex/listings/lstmisc.sty) (./a.tex
-(/usr/share/texlive/texmf-dist/tex/latex/base/ts1cmtt.fd) [2]) (./d.tex
-Overfull \hbox (47.58186pt too wide) in paragraph at lines 33--34
+(/usr/share/texlive/texmf-dist/tex/latex/base/ts1cmtt.fd) [2]) (./cstresica.tex
+
+
+! Package pgfkeys Error: I do not know the key '/tikz/belowi left' and I am goi
+ng to ignore it. Perhaps you misspelled it.
+
+See the pgfkeys package documentation for explanation.
+Type  H <return>  for immediate help.
+ ...                                              
+                                                  
+l.4 		\tkzLabelLine[belowi left](A,B){$a$}
+                                           \tkzCompass(A,B)
+
+Overfull \hbox (42.10782pt too wide) in paragraph at lines 35--36
  [] 
-) (./d.tex [3]) (./e.tex
-Overfull \hbox (99.38136pt too wide) in paragraph at lines 30--31
+) (./cstresica.tex [3]) (./d.tex
+Overfull \hbox (47.58186pt too wide) in paragraph at lines 33--34
  [] 
-[4]) (./e.tex [5])
+[4]) (./d.tex [5]) (./e.tex) (./e.tex [6])
 
 Package hyperref Warning: Composite letter `\textasciicaron+c'
 (hyperref)                not defined in PD1 encoding,
-(hyperref)                removing `\textasciicaron' on input line 143.
+(hyperref)                removing `\textasciicaron' on input line 144.
 
 
-Overfull \hbox (9.1613pt too wide) in paragraph at lines 144--149
+Overfull \hbox (9.1613pt too wide) in paragraph at lines 145--150
 \OT1/cmr/m/n/10 /ali []$\OT1/cmtt/m/n/10 https : / / git . sijanec . eu / sijan
 ec / sola-[]gimb-[]2 / raw / branch / master / mat / domace _ naloge / 16 / dok
 ument . pdf$[]\OT1/cmr/m/n/10 . 
-[6] (./dokument.aux) )
+[7] (./dokument.aux) )
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+Output written on dokument.pdf (7 pages, 198007 bytes).
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    **** Error:  An error occurred while reading an XREF table.
    **** The file has been damaged.  This may have been caused