- The general syntax of a TEXgraph command is : [argument1, ..., argumentN], in case there is only one argument, hooks are optional (the hooks represent the function Liste). Each argument is a mathematical expression.
- Running the command consist in evaluating each argument and returning the results’s list that differ from Nil.
- Exemple(s):
- [2,1+i,sqrt(-2),"toto",1/2] returns the list: [2,1+i,"toto",0.5].
- Seq(k^2,k,1,5) returns the list: [1,4,9,16,25].
- Droite(0,1+i) returns the value Nil, but the function Droite has a graphical effect if used in a graphical user element.
- Consider three global variables: $A$, $B$ and $C$. Then the command [C,C+i*(B-A)] returns $C$’s value followed by the value $C+i\left(B-A\right)$. That expression can be used to define the perpendicular to $\left(AB\right)$ passing through $C$.
- Supose we have to build a triangle $\left(ABC\right)$
with its three medians as a single graphical element, then :
- we choose Graphical elements/Create/User,
- we give a name to the objet,
- we enter the command:
[Ligne([A,B,C],1), Droite(A,(B+C)/2), Droite(B,(A+C)/2), Droite(C,(A+B)/2)]The functions Ligne and Droite return the Nil value and has a graphical effect in the user context.
- There are still three variables to create: $A$, $B$, $C$ (if not already done). Of course, the polyline and the three straight lines can be separately created.

- Calculations on the positive numbers are theorytically in the interval $\left[1{0}^{-324},1{0}^{308}\right]$.
- TeXgraph is case sensitive.
- Each TeXgraph object is identified by an identifier (or name), that has to
follow the rules:
- Beginning with a letter.
- Less than $35$ caracters.
- A caracter has to be among: a letter, a figure, a quote, or an underscore.