\documentclass[a4paper,12pt]{article}
% preambula

\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage[slovene]{babel}

\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{amsthm}
\usepackage{graphicx}
\usepackage{enumerate}

\usepackage[bookmarksopen, bookmarksdepth=3, colorlinks=true,
linkcolor=black, anchorcolor=black, citecolor=black, filecolor=black,
menucolor=black, runcolor=black, urlcolor=black, pdfencoding=auto,
breaklinks=true, psdextra]{hyperref}

%\setlength{\parindent}{3cm}
%\setlength{\parskip}{1cm}

\newtheorem{izrek}{Izrek}

\begin{document}

\thispagestyle{empty}
\begin{center}

Gimnazija Vič 

\vfill

\textbf{\Large Tangentna metoda} \\[12pt]
Jure Slak 

\vfill

\today

\end{center}

\pagebreak

\tableofcontents

\pagebreak

\section{Uvod}

la bla bla bla bla bla bla bla bla bla bla bla la bla bla bla bla bla bla bla bla V 
poglavju~\ref{sec:geom-def} 
bomo pogledali\ldots

Newtonovo metodo je prvi razvil Newton leta 1685. bla bla bla bla bla bla bla bla bla bla bla bla 
bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla 
bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla 
bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla la bla bla bla 
bla bla bla 
bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla 
bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla 
bla bla bla bla bla bla bla bla bla 

Newtonovo metodo je prvi razvil Newton leta 1685. bla bla bla bla bla bla bla bla bla bla bla bla 
bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla 
bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla 
bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla 
bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla 
bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla bla 
bla bla bla bla bla bla bla bla bla  

\textbf{bold}
\textit{bold}
\textsc{bold}
\texttt{bold}
\textrm{bold}
\textsf{bold}

Alenka je rekla: ,,\emph{Bil je \emph{res} neumen.}'' 

\noindent
{\tiny živjo} \\
{\scriptsize živjo} \\
{\footnotesize živjo} \\
{\small živjo} \\
{ živjo} \\
{\large živjo} \\
{\Large živjo} \\
{\LARGE živjo} \\
{\huge živjo} \\
{\Huge živjo} \\


\section{Definicija metode}

\subsection{Geometrijska definicija}
\label{sec:geom-def}
V dani točki najdemo presečišče tangente z $x$-osjo. Običajno iteracija izgleda tako
\[
  x_{r_+1} = x_r - \frac{f(x_r)}{f'(x_r)}
\]
in jo lahko napišemo tudi kot 
$x_{r_+1} = x_r - \frac{f(x_r)}{f'(x_r)}$.

\begin{equation}
  (a+b)^n = \sum_{i=0}^n \binom{n}{i} a^i b^{n-i}
\end{equation}

\[
\alpha \beta \gamma \delta \epsilon \zeta \eta \theta \iota \kappa \lambda \mu \nu \xi o
\pi \rho \sigma \tau \upsilon \phi \psi \xi \omega \quad \varphi \varepsilon \vartheta \varrho
\]

\begin{equation} \label{eq:vsota-sin}
  \sin(\alpha + \beta) = \left( \sum_{i=0}^n \frac{1}{(2i+1)!} (\alpha+\beta)^{2i+1} 
  \right]^{\left|\displaystyle \int_0^\infty f(t)dt \right|}
\end{equation}

Kot smo videli v enačbi~\eqref{eq:vsota-sin} je to komplicirano. Rezultat je prikazan na 
sliki~\ref{fig:time} in se ujema z rezultati v~\cite{oanh2017adaptive,wiki-tex}.

\begin{figure}[ht]
  \centering
  \includegraphics[height=6.5cm]{fib.pdf}
  \caption{Primer grafa hitrosti izvajanja algoritma.}
  \label{fig:time}
\end{figure}

\begin{table}
  \centering
  \caption{Izmerjeni podatki.}
  \vspace{3mm}
  \renewcommand{\arraystretch}{1.2}
  \label{tab:podatki}
  \begin{tabular}{l|llll} \hline
    $t$ & 1 & 2 & 5 & 8 \\ \hline \hline
    $x_1$ & 2.5 & 3.8 & 4.7 & 4.5 \\ \hline
    $x_2$ & 2.5 & 3.8 & 4.7 & 4.5 \\ \hline
    $x_3$ & 2.5 & 3.8 & 4.7 & 4.5 \\ \hline
  \end{tabular}
\end{table}

\subsubsection{Primer}

\begin{itemize}
  \item asd 
  \item adf
  \item adf
\end{itemize}

\begin{enumerate}[1)]
  \item asdf
    \begin{enumerate}[a)]
      \item sub
      \item sub
      \item sub
    \end{enumerate}
  \item adf
  \item adf
\end{enumerate}

\begin{izrek}[Pitagora]
  Velja $a^2+b^2 = c^2$.
\end{izrek}
\begin{proof}
  Dokaz prepustimo dijaku.
\end{proof}


\section{Zaključek}

alsdjfasljflaksjdf

asdf;asjdflkasdf

asdfasdfsa

\bibliographystyle{plain}
\bibliography{lit.bib}


\end{document}