From eeeea33cd9d1e286ec2e45152e683a4ef69dc17a Mon Sep 17 00:00:00 2001 From: sijanec Date: Mon, 26 Oct 2020 00:46:34 +0100 Subject: naloga za mat --- mat/domace_naloge/14/166b.tex | 34 +++++ mat/domace_naloge/14/166c.tex | 21 ++++ mat/domace_naloge/14/dokument.aux | 18 --- mat/domace_naloge/14/dokument.dvi | Bin 0 -> 75772 bytes mat/domace_naloge/14/dokument.log | 63 +--------- mat/domace_naloge/14/dokument.pdf | Bin 2217 -> 4645 bytes mat/domace_naloge/14/dokument.synctex(busy) | 0 mat/domace_naloge/14/dokument.synctex.gz | Bin 0 -> 67722 bytes mat/domace_naloge/14/dokument.tex | 185 +++++++++++++++++++++++----- mat/domace_naloge/14/stderr.log | 6 - mat/domace_naloge/14/stdout.log | 41 +++--- 11 files changed, 232 insertions(+), 136 deletions(-) create mode 100644 mat/domace_naloge/14/166b.tex create mode 100644 mat/domace_naloge/14/166c.tex create mode 100644 mat/domace_naloge/14/dokument.dvi create mode 100644 mat/domace_naloge/14/dokument.synctex(busy) create mode 100644 mat/domace_naloge/14/dokument.synctex.gz (limited to 'mat') 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 Binary files /dev/null and b/mat/domace_naloge/14/dokument.dvi 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 to proceed, -or enter new name. (Default extension: tex) - -Enter file name: -! Emergency stop. - - -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 Binary files a/mat/domace_naloge/14/dokument.pdf and b/mat/domace_naloge/14/dokument.pdf 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 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 Binary files /dev/null and b/mat/domace_naloge/14/dokument.synctex.gz 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 to proceed, -or enter new name. (Default extension: tex) - -Enter file name: -! Emergency stop. - - -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 -- cgit v1.2.3