점이나 선의 위치를 ​​지정하는 계산 라이브러리의 모든 가능성은 무엇입니까?

Question

나는 Cal 라이브러리로 그림을 그리는 방법을 알고 있습니다.

• 주어진 길이의 수직선
• 한 점을 지나는 수직선
• 한 점을 통과하는 임의의 각도의 선

아직 발견하지 못한 다른 가능성이 있는 걸까요?

\documentclass{article}
\usepackage{tikz}
\usetikzlibrary{calc,positioning}

\begin{document}

Une ligne perpendiculaire à une autre de longueur imposée.

A perpendicular line of given length

\begin{tikzpicture}
[dot/.style={circle,inner sep=1pt,fill,label={#1},name=#1},
  extended line/.style={shorten >=-#1,shorten <=-#1},
  extended line/.default=1cm]

\node [dot=A] at (0,0) {};
\node [dot=B] at (3,1) {};

\draw (A) -- (B)node[dot=C, pos=0.3] (C){} node[dot=D, pos=0.7] (D){};

\draw[red] (C) -- ($(C)!1cm!90:(A)$);

\draw (A) -- (B)node[dot=C, pos=0.3] (C){};

\draw[blue] (D) -- ($(D)!1cm!90:(B)$);

\end{tikzpicture}

Une ligne perpendiculaire passant par un point.

A perpendicular line passing through a point

\begin{tikzpicture}[dot/.style={circle,inner sep=1pt,fill,label={#1},name=#1},
  extended line/.style={shorten >=-#1,shorten <=-#1},
  extended line/.default=1cm]

\node [dot=A] at (0,0) {};
\node [dot=B] at (3,1) {};
\node [dot=P] at (1.9,-1.6) {};

\draw [extended line=0.5cm] (A) -- (B);
\draw  ($(A)!(P)!(B)$) -- (P);

\fill [red] ($(A)!(P)!(B)$) circle [radius=2pt];

\end{tikzpicture}

Une ligne avec un angle quelconque de longueur imposée.

A line of any angle passing through a point of imposed length


\begin{tikzpicture}
[dot/.style={circle,inner sep=1pt,fill,label={#1},name=#1},
  extended line/.style={shorten >=-#1,shorten <=-#1},
  extended line/.default=1cm]

\node [dot=A] at (0,0) {};
\node [dot=B] at (3,1) {};

\draw (A) -- (B)node[dot=C, pos=0.3] (C){} node[dot=D, pos=0.7] (D){};

\draw[red] (C) -- ($(C)!1cm!45:(A)$);

\draw[blue] (D) -- ($(D)!2cm!30:(B)$);
\draw[blue] (D) -- ($(D)!2cm!-60:(B)$);

\end{tikzpicture}

\end{document}