| Cartesiano | Polar | Explícita Cartesiano | Explícita Polar | |
|---|---|---|---|---|
| soma ou subtração | 
 x(t): 1 mm * t + 1 y(t): 1 mm * t - 1  | 
 r(t): 1 mm * t + 1 θ(t): 1 rad * t - 1 rad  | 
y(x): x + 1 | r(a): 1 mm * a / 1 rad + 1 | 
| Multiplicação ou divisão | 
 x(t): 2 mm * t y(t): 2 mm / t  | 
 r(t): 2 mm * t θ(t): 2 rad / t  | 
y(x): 3 * x / 2 | r(a): 3 mm * a / 2 rad | 
| Expoentes | 
 x(t): (t^2) * 1 mm y(t): 1 mm * pow(t;2)  | 
 r(t): 1 mm * (t^2) θ(t): 1 rad * pow(t;2)  | 
y(x): 1 in * (x / 1 mm)^3 | r(a): 1 mm * ((a / 1 rad)^3) | 
| Funções Trigonométricas | 
 X (T): 1 mm * sin (1 rad * t) + 1 mm * cos (1 rad * t) y(t): 1 mm * tan(1 rad * t)  | 
 r(t): 1 mm * cos(1 rad * t) + 1 mm * sin(1 rad * t) θ(t): 1 rad * tan(1 rad * t)  | 
y(x): 1 mm * sin(1 rad * x / 1 mm) | r(a): 1 mm * cos(a) | 
| Funções de Trigonometria Inversa | 
 X (T): 1 mm * ASIN (T) / 1 rad + 1 mm * ASIN (T) / 1 rad Y (T): 1 mm * ATAN (T) / 1 rad  | 
 r(t): 1 mm * asin(t) / 1 rad θ(t): acos(t)  | 
y(x): 1 mm * acos(x / 1 mm) / 1 rad | r(a): 1 mm * acos(a / 1 rad) / 1 rad | 
| Hiperbólico | 
 X (T): 1 mm * sinh (1 rad * t) + 1 mm * cosh (1 rad * t) Y (T): 1 mm * tanh (1 rad * t)  | 
 R (T): 1 mm * cosh (1 rad * t) θ(t): 1 rad * sinh(1 rad * t)  | 
y(x): 1 mm * tanh(1 rad * x / 1 mm) | r(a): 1 mm * cosh(a) | 
| Registro | 
 X (T): 1 mm * Ln (T) y(t): 1 mm * registro(t)  | 
 R (T): 1 mm * registro (T) θ(t): 1 rad * ln(t  | 
y(x): 1 mm * ln(x / 1 mm) | r(a): 1 mm * ln(a / 1 rad) | 
Esta tabela mostra exemplos do formato necessário para utilizar determinados operadores e funções.
| Cartesiano | Cilíndrico | Esférica | |
|---|---|---|---|
| 
 soma ou subtração  | 
 x(t): 1 mm * t + 1 mm y(t): 1 mm * t - 1 mm z(t): 1 mm * t - 1 mm  | 
 r(t): 1 mm * t + 1 mm θ(t): 1 rad * t + 1 rad z(t): 1 mm * t - 2 mm  | 
 r(t): 1 mm * t + 1 mm ϕ(t): 1 rad * t + 1 rad θ(t): 1 rad + t - 1 rad  | 
| 
 Multiplicação ou divisão  | 
 x(t):2 mm * t Y (T): 2 mm / t Z (T): 2 mm / t  | 
 r(t): 3 mm * t θ(t): 2 rad * t z(t): 2 mm * t / 2  | 
 r(t): 3 mm *t ϕ(t): 2 rad * t θ(t): 2 rad / 2  | 
| 
 Expoentes  | 
 x(t): (t ^ 2) * 1 mm Y (T): 1 mm * por (t; 2) Z (T): 1 mm * por (t; 2)  | 
 r(t): 1 mm * (t ^ 2) θ( T): 1 rad * por (t; 2) Z (T): 1 mm * (t ^ (1/2)  | 
 r(t): 1 mm * (t ^ 2) ϕ( T): 1 rad * por (t; 2) θ(t): 1 rad * (t ^ (1/2))  | 
| 
 Funções de Trigonometria  | 
 x(t): 1 mm * sin(1 rad * t) + 1 mm * cos(1 rad * t) Y (T): 1 mm * tan (1 rad * t) Z (T): 1 mm * tan (1 rad * t)  | 
 R (T): 1 mm * cos (1 rad * t) θ( T): 1 rad * sin (1 rad * t) Z (T): 1 mm * tan (1 rad * t)  | 
 R (T): 1 mm * cos (1 rad * t) ϕ( T): 1 rad * sin (1 rad * t) θ( T): 1 rad * tan (1 rad * t)  | 
| 
 Funções de Trigonometria Inversa  | 
 X (T): 1 mm * ASIN (T) / 1 rad + 1 mm * ASIN (T) / 1 rad Y (T): 1 mm * ATAN (T) / 1 rad Z (T): 1 mm * ATAN (T) / 1 rad  | 
 R (T): 1 mm * ACOS (T) / 1 rad θ( T): ASIN (T) Z (T): 1 mm * ATAN (T) / 1 rad  | 
 R (T): 1 mm * ACOS (T) / 1 rad ϕ( T): ASIN (T) θ( T): ATAN (T)  | 
| 
 Hiperbólico  | 
 X (T): 1 mm * sinh (1 rad * t) + 1 mm * cosh (1 rad * t) Y (T): 1 mm * tanh (1 rad * t) Z (T): 1 mm * tanh (1 rad * t)  | 
 R (T): 1 mm * cosh (1 rad * t) θ( T): 1 rad * sinh (1 rad * t) Z (T): 1 mm * tanh (1 rad * t)  | 
 R (T): 1 mm * cosh (1 rad * t) θ( T): 1 rad * sinh (1 rad * t) ϕ( T): 1 rad * tanh (1 rad * t)  | 
| 
 Sessão  | 
 X (T): 1 mm * Ln (T) Y (T): 1 mm * registro (T) Z (T): 1 mm * registro (T)  | 
 R (T): 1 mm * registro (T) θ( T): 1 rad * Ln (T) Z (T): 1 mm * Ln (T)  | 
 R (T): 1 mm * registro (T) ϕ( T): 1 rad * Ln (T) θ( T): 1 rad * Ln (T)  |