\documentclass{article} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \usepackage{amssymb} %TCIDATA{OutputFilter=LATEX.DLL} %TCIDATA{Version=5.00.0.2570} %TCIDATA{} %TCIDATA{Created=Thursday, February 21, 2002 14:53:39} %TCIDATA{LastRevised=Monday, October 03, 2005 09:57:49} %TCIDATA{} %TCIDATA{} %TCIDATA{CSTFile=On line bluem.cst} %TCIDATA{PageSetup=72,72,72,72,0} %TCIDATA{AllPages= %F=36,\PARA{038
Scientific Notebook: On Line Mathematics\dotfill \thepage} %} \newtheorem{theorem}{Theorem} \newtheorem{acknowledgement}[theorem]{Acknowledgement} \newtheorem{algorithm}[theorem]{Algorithm} \newtheorem{axiom}[theorem]{Axiom} \newtheorem{case}[theorem]{Case} \newtheorem{claim}[theorem]{Claim} \newtheorem{conclusion}[theorem]{Conclusion} \newtheorem{condition}[theorem]{Condition} \newtheorem{conjecture}[theorem]{Conjecture} \newtheorem{corollary}[theorem]{Corollary} \newtheorem{criterion}[theorem]{Criterion} \newtheorem{definition}[theorem]{Definition} \newtheorem{example}[theorem]{Example} \newtheorem{exercise}[theorem]{Exercise} \newtheorem{lemma}[theorem]{Lemma} \newtheorem{notation}[theorem]{Notation} \newtheorem{problem}[theorem]{Problem} \newtheorem{proposition}[theorem]{Proposition} \newtheorem{remark}[theorem]{Remark} \newtheorem{solution}[theorem]{Solution} \newtheorem{summary}[theorem]{Summary} \newenvironment{proof}[1][Proof]{\textbf{#1.} }{\ \rule{0.5em}{0.5em}} \input{tcilatex} \begin{document} \section{Vektorov\'{y} po\v{c}et v trojrozmernom priestore} \subsection{D\^{o}kaz vety} Orientovan\'{e} \'{u}se\v{c}ky $\overrightarrow{AB}$ a $\overrightarrow{CD}$ s\'{u} ekvipolentn\'{e} pr\'{a}ve vtedy, ke\v{d} stredy \'{u}se\v{c}iek $AB$ a $CD$ s\'{u} toto\v{z}n\'{e}, t.j. pre stred $S=(s_{1},s_{2},s_{3})$ t\'{y}% chto \'{u}se\v{c}iek plat\'{\i} \[ s_{i}=\frac{a_{i}+b_{i}}{2}=\frac{c_{i}+d_{i}}{2}\quad \text{pre\ v\v{s}etky}% \;i\in \{1,\,2,\,3\} \]% Odtia\v{l} ihne\v{d} vypl\'{y}va tvrdenie vety. $\blacksquare $ \begin{center} \begin{tabular}{|c|} \hline \textbf{% %TCIMACRO{\hyperref{Sp\"{a}\v{t}}{}{}{A61.tex#1}}% %BeginExpansion \msihyperref{Sp\"{a}\v{t}}{}{}{A61.tex#1}% %EndExpansion } \\ \hline \end{tabular} \end{center} \end{document}