\documentclass[10pt,a4paper]{article} % Packages \usepackage{fancyhdr} % For header and footer \usepackage{multicol} % Allows multicols in tables \usepackage{tabularx} % Intelligent column widths \usepackage{tabulary} % Used in header and footer \usepackage{hhline} % Border under tables \usepackage{graphicx} % For images \usepackage{xcolor} % For hex colours %\usepackage[utf8x]{inputenc} % For unicode character support \usepackage[T1]{fontenc} % Without this we get weird character replacements \usepackage{colortbl} % For coloured tables \usepackage{setspace} % For line height \usepackage{lastpage} % Needed for total page number \usepackage{seqsplit} % Splits long words. %\usepackage{opensans} % Can't make this work so far. Shame. Would be lovely. \usepackage[normalem]{ulem} % For underlining links % Most of the following are not required for the majority % of cheat sheets but are needed for some symbol support. \usepackage{amsmath} % Symbols \usepackage{MnSymbol} % Symbols \usepackage{wasysym} % Symbols %\usepackage[english,german,french,spanish,italian]{babel} % Languages % Document Info \author{BabuXor} \pdfinfo{ /Title (meccanica.pdf) /Creator (Cheatography) /Author (BabuXor) /Subject (Meccanica Cheat Sheet) } % Lengths and widths \addtolength{\textwidth}{6cm} \addtolength{\textheight}{-1cm} \addtolength{\hoffset}{-3cm} \addtolength{\voffset}{-2cm} \setlength{\tabcolsep}{0.2cm} % Space between columns \setlength{\headsep}{-12pt} % Reduce space between header and content \setlength{\headheight}{85pt} % If less, LaTeX automatically increases it \renewcommand{\footrulewidth}{0pt} % Remove footer line \renewcommand{\headrulewidth}{0pt} % Remove header line \renewcommand{\seqinsert}{\ifmmode\allowbreak\else\-\fi} % Hyphens in seqsplit % This two commands together give roughly % the right line height in the tables \renewcommand{\arraystretch}{1.3} \onehalfspacing % Commands \newcommand{\SetRowColor}[1]{\noalign{\gdef\RowColorName{#1}}\rowcolor{\RowColorName}} % Shortcut for row colour \newcommand{\mymulticolumn}[3]{\multicolumn{#1}{>{\columncolor{\RowColorName}}#2}{#3}} % For coloured multi-cols \newcolumntype{x}[1]{>{\raggedright}p{#1}} % New column types for ragged-right paragraph columns \newcommand{\tn}{\tabularnewline} % Required as custom column type in use % Font and Colours \definecolor{HeadBackground}{HTML}{333333} \definecolor{FootBackground}{HTML}{666666} \definecolor{TextColor}{HTML}{333333} \definecolor{DarkBackground}{HTML}{A3A3A3} \definecolor{LightBackground}{HTML}{F3F3F3} \renewcommand{\familydefault}{\sfdefault} \color{TextColor} % Header and Footer \pagestyle{fancy} \fancyhead{} % Set header to blank \fancyfoot{} % Set footer to blank \fancyhead[L]{ \noindent \begin{multicols}{3} \begin{tabulary}{5.8cm}{C} \SetRowColor{DarkBackground} \vspace{-7pt} {\parbox{\dimexpr\textwidth-2\fboxsep\relax}{\noindent \hspace*{-6pt}\includegraphics[width=5.8cm]{/web/www.cheatography.com/public/images/cheatography_logo.pdf}} } \end{tabulary} \columnbreak \begin{tabulary}{11cm}{L} \vspace{-2pt}\large{\bf{\textcolor{DarkBackground}{\textrm{Meccanica Cheat Sheet}}}} \\ \normalsize{by \textcolor{DarkBackground}{BabuXor} via \textcolor{DarkBackground}{\uline{cheatography.com/109775/cs/21534/}}} \end{tabulary} \end{multicols}} \fancyfoot[L]{ \footnotesize \noindent \begin{multicols}{3} \begin{tabulary}{5.8cm}{LL} \SetRowColor{FootBackground} \mymulticolumn{2}{p{5.377cm}}{\bf\textcolor{white}{Cheatographer}} \\ \vspace{-2pt}BabuXor \\ \uline{cheatography.com/babuxor} \\ \end{tabulary} \vfill \columnbreak \begin{tabulary}{5.8cm}{L} \SetRowColor{FootBackground} \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Cheat Sheet}} \\ \vspace{-2pt}Not Yet Published.\\ Updated 8th January, 2020.\\ Page {\thepage} of \pageref{LastPage}. \end{tabulary} \vfill \columnbreak \begin{tabulary}{5.8cm}{L} \SetRowColor{FootBackground} \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Sponsor}} \\ \SetRowColor{white} \vspace{-5pt} %\includegraphics[width=48px,height=48px]{dave.jpeg} Measure your website readability!\\ www.readability-score.com \end{tabulary} \end{multicols}} \begin{document} \raggedright \raggedcolumns % Set font size to small. Switch to any value % from this page to resize cheat sheet text: % www.emerson.emory.edu/services/latex/latex_169.html \footnotesize % Small font. \begin{multicols*}{2} \begin{tabularx}{8.4cm}{x{3.2 cm} x{4.8 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Moto Rettilineo}} \tn % Row 0 \SetRowColor{LightBackground} v`m`=Δx/Δt & \{\{ar\}\}velocità media \tn % Row Count 1 (+ 1) % Row 1 \SetRowColor{white} a`m`=Δv/Δt & \{\{ar\}\}accelerazione media \tn % Row Count 3 (+ 2) % Row 2 \SetRowColor{LightBackground} v`f`=v`i`+at & \{\{ar\}\}velocità finale \tn % Row Count 4 (+ 1) % Row 3 \SetRowColor{white} x`f`=x`i`+v`i`t+1/2at\textasciicircum{}2\textasciicircum{} & \{\{ar\}\}posizione finale \tn % Row Count 6 (+ 2) % Row 4 \SetRowColor{LightBackground} v`f`\textasciicircum{}2\textasciicircum{}=v`i`\textasciicircum{}2\textasciicircum{}+2aΔx & \{\{ar\}\}posizione finale (senza tempo) \tn % Row Count 8 (+ 2) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{x{5.04 cm} x{2.96 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Moto proiettile}} \tn % Row 0 \SetRowColor{LightBackground} v`ox`=v`o`cosθ & \seqsplit{v`oy`=v`o`senθ} \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} v`x`=v`ox` & v`y`=v`oy`-gt \tn % Row Count 3 (+ 1) % Row 2 \SetRowColor{LightBackground} x=v`ox`t & y=v`oy`t-1/2gt\textasciicircum{}2\textasciicircum{} \tn % Row Count 5 (+ 2) % Row 3 \SetRowColor{white} R=(2v`ox`v`oy`)/g & \{\{ar\}\}gittata \tn % Row Count 6 (+ 1) % Row 4 \SetRowColor{LightBackground} h=v`oy`\textasciicircum{}2\textasciicircum{}/2g = (v`o`\textasciicircum{}2\textasciicircum{}sen\textasciicircum{}2\textasciicircum{}θ)/2g & \{\{ar\}\}altezza massima \tn % Row Count 8 (+ 2) % Row 5 \SetRowColor{white} y=x(v`oy`/v`ox`)-1/2g(x/v`ox`)\textasciicircum{}2\textasciicircum{} & \{\{ar\}\}traiettoria \tn % Row Count 10 (+ 2) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{x{2.48 cm} x{5.52 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Gravità}} \tn % Row 0 \SetRowColor{LightBackground} F`g`=(GMm)/r\textasciicircum{}2\textasciicircum{} & \{\{ar\}\}forza gravitazionale \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} g=GM/r\textasciicircum{}2\textasciicircum{} & \{\{ar\}\}accelerazione gravitazionale \tn % Row Count 4 (+ 2) % Row 2 \SetRowColor{LightBackground} \seqsplit{U`g(r)`=-(GMm)/r} & \{\{ar\}\}en. potenziale gravitazionale \tn % Row Count 6 (+ 2) % Row 3 \SetRowColor{white} \seqsplit{v`e`=sqrt(2GM/r)} & \{\{ar\}\}velocità di fuga \tn % Row Count 8 (+ 2) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{x{3.52 cm} x{4.48 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Moto Circolare}} \tn % Row 0 \SetRowColor{LightBackground} ω`m`=Δθ/Δt & \{\{ar\}\}velocità angolare \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} α`m`=Δω/Δt & \{\{ar\}\}accelerazione angolare \tn % Row Count 4 (+ 2) % Row 2 \SetRowColor{LightBackground} ω`f`=ω`i`+αt & \{\{ar\}\}velocità finale \tn % Row Count 5 (+ 1) % Row 3 \SetRowColor{white} θ`f`=θ`i`+ω`i`t+1/2αt\textasciicircum{}2\textasciicircum{} & \{\{ar\}\}posizione finale \tn % Row Count 7 (+ 2) % Row 4 \SetRowColor{LightBackground} ω`f`\textasciicircum{}2\textasciicircum{}=ω`i`\textasciicircum{}2\textasciicircum{}+2αΔθ & \{\{ar\}\}posizione finale (senza tempo) \tn % Row Count 9 (+ 2) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{x{3.44 cm} x{4.56 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Moto Circolare (pt.2)}} \tn % Row 0 \SetRowColor{LightBackground} T=2πr/v & \{\{ar\}\}periodo \tn % Row Count 1 (+ 1) % Row 1 \SetRowColor{white} ω=2π/T & \{\{ar\}\}velocità angolare \tn % Row Count 3 (+ 2) % Row 2 \SetRowColor{LightBackground} v=ωr & \{\{ar\}\}velocità lineare \tn % Row Count 5 (+ 2) % Row 3 \SetRowColor{white} a`c`=ω\textasciicircum{}2\textasciicircum{}r = v\textasciicircum{}2\textasciicircum{}/r & \{\{ar\}\}accelerazione centripeta \tn % Row Count 7 (+ 2) % Row 4 \SetRowColor{LightBackground} a`r`=-a`c` & \{\{ar\}\}accelerazione radiale \tn % Row Count 9 (+ 2) % Row 5 \SetRowColor{white} a`t`=Δv/Δt = αr & \{\{ar\}\}accelerazione tengenziale \tn % Row Count 11 (+ 2) % Row 6 \SetRowColor{LightBackground} a=sqrt(a`t`\textasciicircum{}2\textasciicircum{}+a`c`\textasciicircum{}2\textasciicircum{}) & \{\{ar\}\}accelerazione risultante \tn % Row Count 13 (+ 2) % Row 7 \SetRowColor{white} θ=s/r & \{\{ar\}\}angolo dell'arco \tn % Row Count 14 (+ 1) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{x{3.2 cm} x{4.8 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Mezzo viscoso e attrito}} \tn % Row 0 \SetRowColor{LightBackground} R=1/2DρAv\textasciicircum{}2\textasciicircum{} & \{\{ar\}\}forza resistente \tn % Row Count 1 (+ 1) % Row 1 \SetRowColor{white} \seqsplit{v`t`=sqrt(2mg/DρA)} & \{\{ar\}\}velocità terminale \tn % Row Count 3 (+ 2) % Row 2 \SetRowColor{LightBackground} \seqsplit{F`sMAX`=μ`s`F`N`} & \{\{ar\}\}attrito statico massimo \tn % Row Count 5 (+ 2) % Row 3 \SetRowColor{white} F`k`=μ`k`F`N` & \{\{ar\}\}attrito dinamico \tn % Row Count 6 (+ 1) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} % That's all folks \end{multicols*} \end{document}