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-rw-r--r--mat/domace_naloge/14/166b.tex34
-rw-r--r--mat/domace_naloge/14/166c.tex21
-rw-r--r--mat/domace_naloge/14/dokument.aux18
-rw-r--r--mat/domace_naloge/14/dokument.dvibin0 -> 75772 bytes
-rw-r--r--mat/domace_naloge/14/dokument.log63
-rw-r--r--mat/domace_naloge/14/dokument.pdfbin2217 -> 4645 bytes
-rw-r--r--mat/domace_naloge/14/dokument.synctex(busy)0
-rw-r--r--mat/domace_naloge/14/dokument.synctex.gzbin0 -> 67722 bytes
-rw-r--r--mat/domace_naloge/14/dokument.tex185
-rw-r--r--mat/domace_naloge/14/stderr.log6
-rw-r--r--mat/domace_naloge/14/stdout.log41
11 files changed, 232 insertions, 136 deletions
diff --git a/mat/domace_naloge/14/166b.tex b/mat/domace_naloge/14/166b.tex
new file mode 100644
index 0000000..6273fe8
--- /dev/null
+++ b/mat/domace_naloge/14/166b.tex
@@ -0,0 +1,34 @@
+\begin{center}
+ \begin{tikzpicture}
+ \tkzDefPoint(0,0){C} \tkzDefPoint(285:2){aH}
+ \tkzInterCC(C,aH)(aH,C) \tkzGetPoints{K60X}{K60}
+ \tkzCompass(C,K60) \tkzCompass(aH,K60)
+ \tkzDefMidPoint(K60,aH) \tkzGetPoint{K30}
+ \tkzCompass(K60,K30) \tkzCompass(aH,K30)
+ \tkzCompass(C,aH)
+ \tkzInterCC(C,aH)(aH,C) \tkzGetPoints{VPX}{VP}
+ \tkzCompass(C,VPX) \tkzCompass(aH,VPX)
+ \tkzCompass(aH,VP) \tkzCompass(C,VP)
+ \tkzInterLL(VP,VPX)(aH,C) \tkzGetPoint{L}
+ \tkzInterLC(VP,VPX)(L,C) \tkzGetPoints{1V}{1VX} \tkzCompass(L,1V)
+ \tkzInterLC(VP,VPX)(1V,L) \tkzGetPoints{2V}{LAGAIN}
+ \tkzInterLC(VP,VPX)(2V,L) \tkzGetPoints{4V}{LAGAIN}
+ \tkzInterLC(VP,VPX)(4V,2V) \tkzGetPoints{6V}{2VAGAIN}
+ \tkzCompass(L,2V) \tkzCompass(2V,4V) \tkzCompass(4V,6V)
+ \tkzDrawLine(VPX,6V)
+ \tkzInterCC(2V,6V)(6V,2V) \tkzGetPoints{V}{VX}
+ \tkzCompass(2V,V) \tkzCompass(6V,V)
+ \tkzInterLL(V,4V)(K30,C) \tkzGetPoint{A} \tkzDrawLine(A,4V)
+ \tkzDrawLine(C,A) \tkzLabelLine[above left](C,A){$b$}
+ \tkzInterCC(A,aH)(aH,A) \tkzGetPoints{SEC}{SECX} % \tkzDrawLine(A,aH)
+ \tkzCompass(A,SECX) \tkzCompass(aH,SEC)
+ \tkzCompass(A,SEC) \tkzCompass(aH,SECX)
+ \tkzDrawLine(SEC,SECX) \tkzInterLL(SEC,SECX)(C,aH) \tkzGetPoint{B}
+ \tkzDrawLine(C,B) \tkzLabelLine[above right](C,B){$a$}
+ \tkzDrawLine(A,B) \tkzLabelLine[above left](A,B){$c$}
+ \tkzDrawPolygon[fill=blue!30, opacity=.30](A,B,C)
+ \tkzMarkRightAngles(C,L,VP L,4V,A)
+ \tkzDrawPoints(C) \tkzLabelPoints(C,A,B)
+ \end{tikzpicture}
+\end{center}
+
diff --git a/mat/domace_naloge/14/166c.tex b/mat/domace_naloge/14/166c.tex
new file mode 100644
index 0000000..e1b45d2
--- /dev/null
+++ b/mat/domace_naloge/14/166c.tex
@@ -0,0 +1,21 @@
+\begin{center}
+ \begin{tikzpicture}
+ \tkzDefPoint(0,0){C} \tkzDefPoint(300:1){aH}
+ \tkzCompass(C,aH) \tkzInterCC(C,aH)(aH,C) \tkzGetPoints{K60X}{K60}
+ \tkzCompass(C,K60) \tkzCompass(aH,K60)
+ \tkzInterLC(C,aH)(aH,C) \tkzGetPoints{CAGAIN}{2CM}
+ \tkzInterLC(C,aH)(2CM,aH) \tkzGetPoints{aHAGAIN}{B}
+ \tkzCompass(aH,2CM) \tkzCompass(2CM,B)
+ \tkzDrawLine(C,B) \tkzLabelLine[above left](C,B){$a$}
+ \tkzInterCC(K60,B)(B,K60) \tkzGetPoints{SEC}{SECX}
+ \tkzCompass(K60,SEC) \tkzCompass(K60,SECX)
+ \tkzCompass(B,SEC) \tkzCompass(B,SECX)
+ \tkzInterLL(SEC,SECX)(C,K60) \tkzGetPoint{A}
+ \tkzDrawLine(C,A) \tkzLabelLine[above left](C,A){$b$}
+ \tkzDrawLine(A,B) \tkzLabelLine[above left](A,B){$c$}
+ \tkzDrawLine(SEC,A)
+ \tkzDrawPolygon[fill=blue!30, opacity=.30](A,B,C)
+ \tkzDrawPoints(C) \tkzLabelPoints(C,B,A)
+ \end{tikzpicture}
+\end{center}
+
diff --git a/mat/domace_naloge/14/dokument.aux b/mat/domace_naloge/14/dokument.aux
index 257b3fd..e69de29 100644
--- a/mat/domace_naloge/14/dokument.aux
+++ b/mat/domace_naloge/14/dokument.aux
@@ -1,18 +0,0 @@
-\relax
-\providecommand\hyper@newdestlabel[2]{}
-\providecommand\HyperFirstAtBeginDocument{\AtBeginDocument}
-\HyperFirstAtBeginDocument{\ifx\hyper@anchor\@undefined
-\global\let\oldcontentsline\contentsline
-\gdef\contentsline#1#2#3#4{\oldcontentsline{#1}{#2}{#3}}
-\global\let\oldnewlabel\newlabel
-\gdef\newlabel#1#2{\newlabelxx{#1}#2}
-\gdef\newlabelxx#1#2#3#4#5#6{\oldnewlabel{#1}{{#2}{#3}}}
-\AtEndDocument{\ifx\hyper@anchor\@undefined
-\let\contentsline\oldcontentsline
-\let\newlabel\oldnewlabel
-\fi}
-\fi}
-\global\let\hyper@last\relax
-\gdef\HyperFirstAtBeginDocument#1{#1}
-\providecommand\HyField@AuxAddToFields[1]{}
-\providecommand\HyField@AuxAddToCoFields[2]{}
diff --git a/mat/domace_naloge/14/dokument.dvi b/mat/domace_naloge/14/dokument.dvi
new file mode 100644
index 0000000..ad94a65
--- /dev/null
+++ b/mat/domace_naloge/14/dokument.dvi
Binary files differ
diff --git a/mat/domace_naloge/14/dokument.log b/mat/domace_naloge/14/dokument.log
index 461af8a..15f4e6d 100644
--- a/mat/domace_naloge/14/dokument.log
+++ b/mat/domace_naloge/14/dokument.log
@@ -1,4 +1,4 @@
-This is pdfTeX, Version 3.14159265-2.6-1.40.20 (TeX Live 2019/Debian) (preloaded format=pdflatex 2020.9.9) 23 OCT 2020 23:59
+This is pdfTeX, Version 3.14159265-2.6-1.40.20 (TeX Live 2019/Debian) (preloaded format=pdflatex 2020.9.9) 26 OCT 2020 00:46
entering extended mode
\write18 enabled.
%&-line parsing enabled.
@@ -1243,7 +1243,7 @@ Package: listings 2019/09/10 1.8c (Carsten Heinz)
Package csquotes Info: Checking for multilingual support...
Package csquotes Info: ... none found.
-No file dokument.aux.
+(./dokument.aux)
\openout1 = `dokument.aux'.
LaTeX Font Info: Checking defaults for OML/cmm/m/it on input line 120.
@@ -1264,7 +1264,7 @@ LaTeX Font Info: Checking defaults for PD1/pdf/m/n on input line 120.
LaTeX Font Info: ... okay on input line 120.
\AtBeginShipoutBox=\box126
Package hyperref Info: Link coloring OFF on input line 120.
-(/usr/share/texlive/texmf-dist/tex/latex/hyperref/nameref.sty
+ (/usr/share/texlive/texmf-dist/tex/latex/hyperref/nameref.sty
Package: nameref 2019/09/16 v2.46 Cross-referencing by name of section
(/usr/share/texlive/texmf-dist/tex/latex/refcount/refcount.sty
@@ -1278,6 +1278,8 @@ Package: gettitlestring 2019/12/15 v1.6 Cleanup title references (HO)
LaTeX Info: Redefining \ref on input line 120.
LaTeX Info: Redefining \pageref on input line 120.
LaTeX Info: Redefining \nameref on input line 120.
+
+(./dokument.out) (./dokument.out)
\@outlinefile=\write5
\openout5 = `dokument.out'.
@@ -1340,57 +1342,4 @@ e
))
ABD: EveryShipout initializing macros
-Package pgfplots Warning: running in backwards compatibility mode (unsuitable t
-ick labels; missing features). Consider writing \pgfplotsset{compat=1.16} into
-your preamble.
- on input line 120.
-
-
-(/usr/share/texlive/texmf-dist/tex/latex/translator/translator-basic-dictionary
--English.dict
-Dictionary: translator-basic-dictionary, Language: English
-)
-(/usr/share/texlive/texmf-dist/tex/latex/siunitx/siunitx-abbreviations.cfg
-File: siunitx-abbreviations.cfg 2017/11/26 v2.7k siunitx: Abbreviated units
-)
-\c@lstlisting=\count392
-LaTeX Font Info: Trying to load font information for U+msa on input line 120
-.
-
-(/usr/share/texlive/texmf-dist/tex/latex/amsfonts/umsa.fd
-File: umsa.fd 2013/01/14 v3.01 AMS symbols A
-)
-LaTeX Font Info: Trying to load font information for U+msb on input line 120
-.
-
-(/usr/share/texlive/texmf-dist/tex/latex/amsfonts/umsb.fd
-File: umsb.fd 2013/01/14 v3.01 AMS symbols B
-)
-\tf@toc=\write6
-\openout6 = `dokument.toc'.
-
-
-
-! LaTeX Error: File `165a.tex' not found.
-
-Type X to quit or <RETURN> to proceed,
-or enter new name. (Default extension: tex)
-
-Enter file name:
-! Emergency stop.
-<read *>
-
-l.136 \input{165a}
- ^^M
-*** (cannot \read from terminal in nonstop modes)
-
-
-Here is how much of TeX's memory you used:
- 38919 strings out of 482812
- 920903 string characters out of 11706556
- 13302195 words of memory out of 24000000
- 53402 multiletter control sequences out of 15000+600000
- 545346 words of font info for 74 fonts, out of 12000000 for 9000
- 59 hyphenation exceptions out of 8191
- 68i,13n,98p,856b,1041s stack positions out of 5000i,500n,10000p,12000000b,80000s
-! ==> Fatal error occurred, no output PDF file produced!
+Package pgfplots Warning: \ No newline at end of file
diff --git a/mat/domace_naloge/14/dokument.pdf b/mat/domace_naloge/14/dokument.pdf
index e8cb7f5..b9b5d69 100644
--- a/mat/domace_naloge/14/dokument.pdf
+++ b/mat/domace_naloge/14/dokument.pdf
Binary files differ
diff --git a/mat/domace_naloge/14/dokument.synctex(busy) b/mat/domace_naloge/14/dokument.synctex(busy)
new file mode 100644
index 0000000..e69de29
--- /dev/null
+++ b/mat/domace_naloge/14/dokument.synctex(busy)
diff --git a/mat/domace_naloge/14/dokument.synctex.gz b/mat/domace_naloge/14/dokument.synctex.gz
new file mode 100644
index 0000000..daba880
--- /dev/null
+++ b/mat/domace_naloge/14/dokument.synctex.gz
Binary files differ
diff --git a/mat/domace_naloge/14/dokument.tex b/mat/domace_naloge/14/dokument.tex
index 0b3d4af..42d9cdc 100644
--- a/mat/domace_naloge/14/dokument.tex
+++ b/mat/domace_naloge/14/dokument.tex
@@ -80,7 +80,7 @@
\par
\vskip 1.5em}
%opening
-\newcommand{\snovdn}{Trikotnik --- konstrukcije }
+\newcommand{\snovdn}{Obodni in središčni kot }
\newcommand{\predmdn}{mat}
\newcommand{\stevilkadn}{14}
\newcommand{\cm}[1]{\SI{#1}{\centi\meter}}
@@ -100,7 +100,7 @@
\frac{\text{#1}}{\text{#2}}
}
\renewcommand\abstractname{Povzetek}
-\date{22. oktober 2020}
+\date{26. oktober 2020}
\renewcommand\contentsname{Kazalo vsebine}
\renewcommand\figurename{Slika}
\renewcommand\abstractname{Povzetek}
@@ -121,42 +121,169 @@
\maketitle
\begin{abstract}
-Ta dokument obsega naloge, naročene dijakom 22. oktobra 2020, in njihove rešitve, ki sem jih spisal sam. Naloge obsegajo snov \textit{\snovdn}in so iz učnega lista profesorja Domajnka in vaj.
+Ta dokument obsega naloge, naročene dijakom 23. oktobra 2020, in njihove rešitve, ki sem jih spisal sam. Naloge obsegajo snov \textit{\snovdn}in so iz učnega lista profesorja Domajnka in vaj. Kjer je bilo potrebno izbrati neke poljubne naloge, sem jih vedno izbral naključno.
\end{abstract}
\tableofcontents
\section{Vaje \textit{Matematika 2}: stran 29 --- Trikotnik}
\begin{enumerate}[label=\textbf{\arabic*.}]
- \setcounter{enumi}{164}
- \item[\textbf{165.*}] Načrtaj trikotnik $ABC$ z dano vsoto dolžin stranic. Napiši postopek načrtovanja.
-
- % Nihče ni rekel, v katerem jeziku, zato bom postopek opisal kar v \hologo{LaTeX} jeziku \texttt{PGF/Ti\textit{k}Z}. Kako prikladno, ne?
- \begin{enumerate}[label=\textbf{\xslalph*)}] % b č a d
- \item $a+c=\cm{10}, \alpha=\ang{30}, b=\cm{4}$
- \input{165a}
- \lstinputlisting[language=TeX]{165a.tex}
- \item $a+c=\cm{10}, \gamma=\ang{30}, b=\cm{4}$
- \input{165b}
- \lstinputlisting[language=TeX]{165b.tex}
- \setcounter{enumii}{3}
- \item $b+c=\cm{7}, v_b=\cm{3}, a=\cm{4}$
- % \input{165cstresica} % ne, to nalogo sem si kar v možganih izmislil...
- % \lstinputlisting[language=TeX]{165cstresica.tex}
- \item $a+b+c=\cm{12}, \alpha=\ang{30}, \beta=\ang{75}$
- % Nisem povsem prepričan, če smem uporabljati \textit{matematiko} \textsuperscript{(kaj sploh je to?)}, ampak nekako \textit{očitno} je, da so stranice trikotnika v razmerju $75:75:30$, torej je najkrajša dolga $\frac{1}{6}\cm{12}$.
- %\begin{center}
- % \begin{tikzpicture}
- % \tkzDefPoint(0,0){A} \tkzDefPoint(3,0){12}
- % \tkz
- % \tkzDrawPoints()
- % \end{tikzpicture}
- %\end{center}
- \end{enumerate}
+ \setcounter{enumi}{165}
\item[\textbf{166.*}] Načrtaj trikotnik $ABC$ z dano razliko dolžin stranic. Napiši postopek načrtovanja.
\begin{enumerate}[label=\textbf{\xslalph*)}] % c b
\setcounter{enumii}{1}
\item $a-c=\cm{2}, \gamma=\ang{30}, v_a=\cm{4}$
- \item $b-c=\cm{1}, \gamma=\ang{60}, a=\cm{3}$
+ \input{166b.tex}
+ \lstinputlisting[language=TeX]{166b.tex}
+ \item $b-c=\cm{1}, \gamma=\ang{60}, a=\cm{3}$
+ \input{166c.tex}
+ \lstinputlisting[language=TeX]{166c.tex}
+ \end{enumerate}
+\end{enumerate}
+\section{Učni list \textit{\snovdn}}
+\begin{enumerate}[label=\textbf{\arabic*.}]
+ \item Načrtaj trikotnik s podatki (vsi dolžinski podatki so v \cm{}): % b
+ \begin{enumerate}[label=\textbf{\alph*)}]
+ \setcounter{enumii}{1}
+ \item $b=6, \alpha=\ang{30}, \beta=\ang{15}$
+ \begin{figure}[!h]
+ \makebox[\textwidth][c]{
+ \begin{tikzpicture}
+ \tkzDefPoint(0,0){A} \tkzDefPoint(6,0){K0}
+ \tkzInterCC(A,K0)(K0,C) \tkzGetPoints{K60}{K60X}
+ \tkzDefMidPoint(K60,K0) \tkzGetPoint{K30}
+ \tkzInterLC(K30,A)(A,K0) \tkzGetPoints{C}{CX}
+ \tkzInterLC(C,A)(C,A) \tkzGetPoints{AX}{AAGAIN}
+ \tkzDrawLine(A,AX) \tkzLabelLine[above left](A,C){$b$}
+ \tkzCompass(C,AX) \tkzCompass(A,K0) \tkzCompass(A,C)
+ \tkzInterCC(C,AX)(AX,C) \tkzGetPoints{G60X}{G60}
+ \tkzCompass(C,G60) \tkzCompass(AX,G60)
+ \tkzDefMidPoint(AX,G60) \tkzGetPoint{G30}
+ \tkzCompass(AX,G30) \tkzCompass(G60,G30)
+ \tkzInterLC(C,G30)(C,AX) \tkzGetPoints{XX}{X}
+ \tkzCompass(C,X) \tkzDrawLine(C,G30)
+ \tkzDefMidPoint(X,G60) \tkzGetPoint{G45}
+ \tkzCompass(X,G45) \tkzCompass(G60,G45)
+ \tkzInterLL(C,G45)(A,K0) \tkzGetPoint{B}
+ \tkzDrawLine(A,B) \tkzLabelLine[below](A,B){$c$}
+ \tkzDrawLine(C,B) \tkzLabelLine[above right](C,B){$a$}
+ \tkzDrawPolygon[fill=blue!30, opacity=.30](A,B,C)
+ \tkzDrawPoints(A) \tkzLabelPoints(A,C,B)
+ \end{tikzpicture}
+ }
+ \end{figure}
+ \end{enumerate}
+ \item Načrtaj trikotnik s podatki (vsi dolžinski podatki so v \cm{}): % a
+ \begin{enumerate}[label=\textbf{\alph*)}]
+ \item $a=6, b=5, c=10$
+ \begin{center}
+ \begin{tikzpicture}
+ \tkzDefPoint(0,0){A} \tkzDefPoint(10,0){B}
+ \tkzDefPoint(5,0){bH} \tkzDefPoint(4,0){aH}
+ \tkzDrawLine(A,B) \tkzLabelLine[below](A,B){$c$} \tkzCompass(A,B)
+ \tkzInterCC(A,bH)(B,aH) \tkzGetPoints{C}{CX}
+ \tkzCompass(A,C) \tkzCompass(B,C)
+ \tkzDrawLine(A,C) \tkzLabelLine[above left](A,C){$b$}
+ \tkzDrawLine(B,C) \tkzLabelLine[above right](B,C){$a$}
+ \tkzDrawPolygon[fill=blue!30, opacity=.30](A,B,C)
+ \tkzDrawPoints(A) \tkzLabelPoints(A,B,C)
+ \end{tikzpicture}
+ \end{center}
+ \end{enumerate}
+ \if\false1
+ \item[\textbf{*3.}] Načrtaj trikotnik s podatki (vsi dolžinski podatki so v \cm{}): % ~c~=>b
+ \setcounter{enumi}{3}
+ \begin{enumerate}[label=\textbf{\alph*)}]
+ \setcounter{enumii}{1}
+ \item $c=8, a-b=2, \beta=\ang{60}$
+ \begin{center}
+ \begin{tikzpicture}
+ \tkzDefPoint(0,0){A} \tkzDefPoint(8,0){B}
+ \tkzCompass(A,B) \tkzDrawLine(A,B) \tkzLabelLine[above](A,B){$c$}
+ \tkzInterCC(A,B)(B,A) \tkzGetPoints{aH}{aHX} \tkzDrawLine(B,aH)
+ \tkzCompass(A,aH) \tkzCompass(B,aH)
+
+ \tkzDrawPoints(A) \tkzLabelPoints(A,B)
+ \end{tikzpicture}
+ \end{center}
+ \end{enumerate}
+ \fi
+ \item Načrtaj enakokraki trikotnik s podatki (vsi dolžinski podatki so v \cm{}): % 2
+ \begin{enumerate}[label=\textbf{\alph*)}]
+ \setcounter{enumii}{1}
+ \item $c=7, \gamma=\ang{30}$
+ \begin{center}
+ \begin{tikzpicture}
+ \tkzDefPoint(0,0){A} \tkzDefPoint(7,0){B}
+ \tkzDefMidPoint(A,B)\tkzGetPoint{M}\tkzCompass(A,M) \tkzCompass(B,M)
+ \tkzInterLC(A,B)(B,M) \tkzGetPoints{AAGAIN}{AX} \tkzCompass(B,AX)
+ \tkzInterLC(A,B)(A,M) \tkzGetPoints{BX}{BAGAIN} \tkzCompass(A,BX)
+ \tkzCompass(A,B) \tkzDrawLine[add=0 and 0](BX,AX) \tkzLabelLine[above](A,B){$c$}
+ \tkzInterCC(A,BX)(BX,A) \tkzGetPoints{A60X}{A60}
+ \tkzCompass(A,A60) \tkzCompass(BX,A60)
+ \tkzInterCC(B,AX)(AX,B) \tkzGetPoints{B60}{B60X}
+ \tkzCompass(B,B60) \tkzCompass(AX,B60)
+ \tkzInterCC(A60,A)(A,A60) \tkzGetPoints{A120}{BXAGAIN}
+ \tkzCompass(A,A120) \tkzCompass(A60,A120)
+ \tkzInterCC(B60,B)(B,B60) \tkzGetPoints{AXAGAIN}{B120}
+ \tkzCompass(B,B120) \tkzCompass(B60,B120)
+ \tkzDefMidPoint(A60,A120) \tkzGetPoint{A90}
+ \tkzInterLC(A,A90)(A,A120) \tkzGetPoints{A90CX}{A90C}
+ \tkzCompass(A,A90C) \tkzDrawLine(A,A90C)
+ \tkzDefMidPoint(B60,B120) \tkzGetPoint{B90}
+ \tkzInterLC(B,B90)(B,B120) \tkzGetPoints{B90CX}{B90C}
+ \tkzCompass(B,B90C) \tkzDrawLine(B,B90C)
+ \tkzDefMidPoint(A120,A90C) \tkzGetPoint{A75}
+ \tkzCompass(A120,A75) \tkzCompass(A90C,A75)
+ \tkzDefMidPoint(B120,B90C) \tkzGetPoint{B75}
+ \tkzCompass(B120,B75) \tkzCompass(B90C,B75)
+ \tkzInterLL(A,A75)(B,B75) \tkzGetPoint{C}
+ \tkzDrawLine(A,C) \tkzLabelLine[above left](A,C){$b$}
+ \tkzDrawLine(B,C) \tkzLabelLine[above right](B,C){$a$}
+ \tkzDrawPolygon[fill=blue!30, opacity=.30](A,B,C)
+ \tkzDrawPoints(A) \tkzLabelPoints(A,B,C)
+ \end{tikzpicture}
+ \end{center}
+ \end{enumerate}
+ \if\false1
+ \item Načrtaj pravokotni trikotnik s podatki (vsi dolžinski podatki so v \cm{}): % a
+ \begin{enumerate}[label=\textbf{\alph*}]
+ \item[\textbf{*b)}] $a+c=12, \alpha=\ang{60}$
+ \end{enumerate}
+ \fi
+ \item[\textbf{*6.}] Načrtaj enakostranični trikotnik s podatki (vsi dolžinski podatki so v \cm{}): % a
+ \begin{enumerate}[label=\textbf{\alph*)}]
+ \item $a+v=10$
+ \begin{figure}[H]
+ \begin{tikzpicture}
+ \tkzDefPoint(0,0){M} \tkzDefPoint(0,10){N}
+ \tkzInterCC(M,N)(N,M) \tkzGetPoints{K60}{K60X}
+ \tkzCompass(M,K60) \tkzCompass(N,K60) \tkzCompass(M,N)
+ \tkzDefMidPoint(M,K60) \tkzGetPoint{K30}
+ \tkzDrawLine(N,K30) \tkzInterLC(N,K30)(N,M) \tkzGetPoints{A4L}{K30C}
+ \tkzCompass(N,K30C) \tkzDefMidPoint(K30C,M) \tkzGetPoint{K15}
+ \tkzDefMidPoint(M,N) \tkzGetPoint{MN}
+ \tkzCompass(M,MN) \tkzCompass(N,MN)
+ \tkzInterLC(M,N)(M,MN) \tkzGetPoints{NX}{NAGAIN} \tkzCompass(M,NX)
+ \tkzDrawLine(NX,N) \tkzLabelLine[above left](M,N){$v+a$}
+ \tkzInterCC(MN,NX)(NX,MN) \tkzGetPoints{P}{R}
+ \tkzInterLL(P,R)(N,K15)\tkzGetPoint{A}\tkzDrawLine[add=0 and 0](P,R)
+ \tkzDrawLine(N,K15) \tkzInterCC(A,N)(N,A) \tkzGetPoints{AL}{L60}
+ \tkzCompass(A,L60) \tkzCompass(N,L60)
+ \tkzDefMidPoint(L60,N) \tkzGetPoint{L30} \tkzInterLC(A,L30)(A,N)
+ \tkzGetPoints{L30CX}{L30C}\tkzCompass(A,L30C)\tkzDrawLine(A,L30)
+ \tkzDefMidPoint(L30C,N) \tkzGetPoint{L15} \tkzDrawLine(A,L15)
+ \tkzCompass(L30C,L15) \tkzCompass(N,L15)
+ \tkzCompass(K60,K30) \tkzCompass(A,K30)
+ \tkzCompass(N,L30) \tkzCompass(L60,L30)
+ \tkzInterLL(M,N)(A,L15) \tkzGetPoint{C}
+ \tkzInterLC(A,M)(M,A) \tkzGetPoints{AAGAIN}{B} \tkzCompass(M,B)
+ \tkzDrawLine(C,B) \tkzLabelLine[above right](C,B){$a$}
+ \tkzLabelLine[above left](C,A){$b$}
+ \tkzLabelLine[above left](A,B){$c$}
+ \tkzDrawPolygon[fill=blue!30, opacity=.30](A,B,C)
+ \tkzDrawPoints(M) \tkzLabelPoints(A,C,B) \tkzMarkRightAngles(P,M,N)
+ \end{tikzpicture}
+ \end{figure}
\end{enumerate}
\end{enumerate}
\section{Zaključek}
diff --git a/mat/domace_naloge/14/stderr.log b/mat/domace_naloge/14/stderr.log
index 943ce7e..e69de29 100644
--- a/mat/domace_naloge/14/stderr.log
+++ b/mat/domace_naloge/14/stderr.log
@@ -1,6 +0,0 @@
-terminate called after throwing an instance of 'PoDoFo::PdfError'
-/home/a/projects/doc/f5ff.sh: line 4: 16045 Aborted (core dumped) podofouncompress $1.pdf $1-uncompressed.pdf
-/home/a/projects/doc/f5ff.sh: line 5: /home/a/Documents/sola/gimb/2/mat/domace_naloge/14/dokument-uncompressed.pdf: No such file or directory
-GPL Ghostscript 9.26: Unrecoverable error, exit code 1
-rm: cannot remove '/home/a/Documents/sola/gimb/2/mat/domace_naloge/14/dokument-uncompressed.pdf': No such file or directory
-rm: cannot remove '/home/a/Documents/sola/gimb/2/mat/domace_naloge/14/dokument-modified.pdf': No such file or directory
diff --git a/mat/domace_naloge/14/stdout.log b/mat/domace_naloge/14/stdout.log
index c2e04c7..9a134b3 100644
--- a/mat/domace_naloge/14/stdout.log
+++ b/mat/domace_naloge/14/stdout.log
@@ -409,10 +409,10 @@ ex
(/usr/share/texlive/texmf-dist/tex/latex/listings/listings.sty
(/usr/share/texlive/texmf-dist/tex/latex/listings/lstmisc.sty)
(/usr/share/texlive/texmf-dist/tex/latex/listings/listings.cfg))
-No file dokument.aux.
-(/usr/share/texlive/texmf-dist/tex/latex/hyperref/nameref.sty
+(./dokument.aux) (/usr/share/texlive/texmf-dist/tex/latex/hyperref/nameref.sty
(/usr/share/texlive/texmf-dist/tex/latex/refcount/refcount.sty)
(/usr/share/texlive/texmf-dist/tex/generic/gettitlestring/gettitlestring.sty))
+(./dokument.out) (./dokument.out)
*geometry* driver: auto-detecting
*geometry* detected driver: pdftex
(/usr/share/texlive/texmf-dist/tex/context/base/mkii/supp-pdf.mkii
@@ -431,27 +431,16 @@ your preamble.
-English.dict)
(/usr/share/texlive/texmf-dist/tex/latex/siunitx/siunitx-abbreviations.cfg)
(/usr/share/texlive/texmf-dist/tex/latex/amsfonts/umsa.fd)
-(/usr/share/texlive/texmf-dist/tex/latex/amsfonts/umsb.fd)
-
-! LaTeX Error: File `165a.tex' not found.
-
-Type X to quit or <RETURN> to proceed,
-or enter new name. (Default extension: tex)
-
-Enter file name:
-! Emergency stop.
-<read *>
-
-l.136 \input{165a}
- ^^M
-! ==> Fatal error occurred, no output PDF file produced!
-Transcript written on dokument.log.
-Error: /undefinedfilename in (/home/a/Documents/sola/gimb/2/mat/domace_naloge/14/dokument-modified.pdf)
-Operand stack:
-
-Execution stack:
- %interp_exit .runexec2 --nostringval-- --nostringval-- --nostringval-- 2 %stopped_push --nostringval-- --nostringval-- --nostringval-- false 1 %stopped_push
-Dictionary stack:
- --dict:972/1684(ro)(G)-- --dict:0/20(G)-- --dict:77/200(L)--
-Current allocation mode is local
-Last OS error: No such file or directory
+(/usr/share/texlive/texmf-dist/tex/latex/amsfonts/umsb.fd) (./dokument.toc)
+(./166b.tex) (/usr/share/texlive/texmf-dist/tex/latex/listings/lstlang1.sty)
+(/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/lstlang1.sty)
+(/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/lstlang1.sty)
+(/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) (./166b.tex
+[1{/var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map}]
+(/usr/share/texlive/texmf-dist/tex/latex/base/ts1cmtt.fd)) (./166c.tex \ No newline at end of file
generated by cgit v1.2.3 (git 2.25.1) at 2024-11-21 11:50:01 +0100