\newpage \section{Classe \Iclass{parallelogram}} % (fold) \subsection{Parallelogram attributes} % (fold) \label{sub:parallelogram_attributes} % subsection square_attributes (end) Points are created in the direct direction. A test is performed to check whether the points form a parallelogram, otherwise compilation is blocked. \begin{mybox} Creation | P.new = parallelogram : new (z.A,z.B,z.C,z.D)| \end{mybox} \bgroup \catcode`_=12 \small \captionof{table}{Parallelogram attributes.}\label{parallelogram:att} \begin{tabular}{lll} \toprule \textbf{Attributes} & \textbf{Application} & \\ \Iattr{parallelogram}{pa} & |z.A = P.new.pa| & \\ \Iattr{parallelogram}{pb} & |z.B = P.new.pb| & \\ \Iattr{parallelogram}{pc} & |z.C = P.new.pc| & \\ \Iattr{parallelogram}{pd} & |z.D = P.new.pd| & \\ \Iattr{parallelogram}{type} & |P.new.type= 'parallelogram'|& \\ \Iattr{parallelogram}{i} & |z.I = P.new.i| & intersection of diagonals \\ \Iattr{parallelogram}{ab} & |P.new.ab| & line passing through two vertices \\ \Iattr{parallelogram}{ac} & |P.new.ca| & idem. \\ \Iattr{parallelogram}{ad} & |P.new.ad| & idem. \\ \Iattr{parallelogram}{bc} & |P.new.bc| & idem. \\ \Iattr{parallelogram}{bd} & |P.new.bd| & idem. \\ \Iattr{parallelogram}{cd} & |P.new.cd| & idem. \\ \bottomrule % \end{tabular} \egroup \subsubsection{Example: attributes } % (fold) \label{ssub:example_attributes} % subsubsection example_attributes (end) \begin{minipage}{.5\textwidth} \begin{verbatim} \begin{tkzelements} z.A = point : new ( 0 , 0 ) z.B = point : new ( 4 , 1 ) z.C = point : new ( 7 , 5 ) z.D = point : new ( 3 , 4 ) P.new = parallelogram : new (z.A,z.B,z.C,z.D) z.B = P.new.pb z.C = P.new.pc z.D = P.new.pd z.I = P.new.center \end{tkzelements} \begin{tikzpicture} \tkzGetNodes \tkzDrawPolygon(A,B,C,D) \tkzDrawPoints(A,B,C,D) \tkzLabelPoints(A,B) \tkzLabelPoints[above](C,D) \tkzDrawPoints[red](I) \end{tikzpicture} \end{verbatim} \end{minipage} \begin{minipage}{.5\textwidth} \begin{tkzelements} z.A = point : new ( 0 , 0 ) z.B = point : new ( 4 , 1 ) z.C = point : new ( 7 , 5 ) z.D = point : new ( 3 , 4 ) P.new = parallelogram : new (z.A,z.B,z.C,z.D) z.B = P.new.pb z.C = P.new.pc z.D = P.new.pd z.I = P.new.center \end{tkzelements} \hspace{\fill} \begin{tikzpicture} \tkzGetNodes \tkzDrawPolygon(A,B,C,D) \tkzDrawPoints(A,B,C,D) \tkzLabelPoints(A,B) \tkzLabelPoints[above](C,D) \tkzDrawPoints[red](I) \end{tikzpicture} \end{minipage} \newpage \subsection{Parallelogram methods} % (fold) \label{sub:parallelogram_methods} % subsection parallelogram_methods (end) \bgroup \catcode`_=12 \small \captionof{table}{Parallelogram methods.}\label{parallelogram:met} \begin{tabular}{ll} \toprule \textbf{Methods} & \textbf{Comments} \\ \midrule \\ \Imeth{parallelogram}{fourth (za,zb,zc)} & completes a triangle by parallelogram (see next example)\\ \bottomrule % \end{tabular} \egroup \subsubsection{parallelogram with fourth method} % (fold) \label{ssub:parallelogram_with_fourth_method} % subsubsection parallelogram_with_fourth_method (end) \begin{minipage}{.5\textwidth} \begin{verbatim} \begin{tkzelements} scale = .75 z.A = point : new ( 0 , 0 ) z.B = point : new ( 4 , 1 ) z.C = point : new ( 5 , 3 ) P.four = parallelogram : fourth (z.A,z.B,z.C) z.D = P.four.pd z.I = P.four.center \end{tkzelements} \begin{tikzpicture} \tkzGetNodes \tkzDrawPolygon(A,D,B,C) \tkzDrawPoints(A,B,C,D) \tkzLabelPoints(A,B) \tkzLabelPoints[above](C,D) \tkzDrawPoints[red](I) \end{tikzpicture} \end{verbatim} \end{minipage} \begin{minipage}{.5\textwidth} \begin{tkzelements} z.A = point : new ( 0 , 0 ) z.B = point : new ( 4 , 1 ) z.C = point : new ( 5 , 3 ) P.four = parallelogram : fourth (z.A,z.B,z.C) z.D = P.four.pd z.I = P.four.center \end{tkzelements} \hspace{\fill} \begin{tikzpicture} \tkzGetNodes \tkzDrawPolygon(A,B,C,D) \tkzDrawPoints(A,B,C,D) \tkzLabelPoints(A,B) \tkzLabelPoints[above](C,D) \tkzDrawPoints[red](I) \end{tikzpicture} \end{minipage} % subsubsection parallelogram_with_side_method (end)