SmtC: Show me the Code
Ole Peter Smith
Instituto de Matemática e Estatística
Universidade Federal de Goiás
http://www.olesmith.com.br

Other Curves
O aspecto mais triste da humanidade hoje
É que ela cresce mais em ciência do que em sabedoria.
Isaac Asimov
< Cones | Descartes | Super Ellipsis >

Folium of Descartes

Formulas
$\underline{\mathbf{r}}(t)=\frac{ 3at}{1+t^3}\left(\begin{array}{c} 1\\ t \end{array}\right)$ $\underline{\mathbf{r}}'(t)=-$
$\underline{\mathbf{r}}''(t)=-$ $\widehat{\underline{\mathbf{r}}}'(t)=-$
$v(t)^2=\underline{\mathbf{r}}'(t) \cdot \underline{\mathbf{r}}'(t)$ $D(t)=\underline{\mathbf{r}}''(t) \cdot \underline{\mathbf{\widehat r}}'(t)$
$\underline{\mathbf{t}}(t)=\frac{-}{\sqrt{\underline{\mathbf{r}}'(t) \cdot \underline{\mathbf{r}}'(t)}} \cdot $ $\underline{\mathbf{n}}(t)=\frac{-}{\sqrt{\underline{\mathbf{r}}'(t) \cdot \underline{\mathbf{r}}'(t)}} \cdot $
$\psi(t)=\frac{1}{\varphi(t)}$ $\varphi(t)=\frac{1}{\psi(t)}$
$\kappa(t)=\frac{\underline{\mathbf{r}}''(t) \cdot \underline{\mathbf{\widehat r}}'(t)}{ (\underline{\mathbf{r}}'(t) \cdot \underline{\mathbf{r}}'(t))^{3/2}}$ $\rho(t)=\frac{(\underline{\mathbf{r}}'(t) \cdot \underline{\mathbf{r}}'(t))^{3/2}}{ (\underline{\mathbf{r}}''(t) \cdot \underline{\mathbf{\widehat r}}'(t)}$
$\underline{\mathbf{c}}(t)=-$
$\underline{\mathbf{c}}'(t)=-$
PDF: Descartes
Parameters
Attr Name Default Current Values
a $a$ 2.000000 1.0 1.0
Settings
Delay:
Type:
Every:
Use SVG Image tags:
Components
Curves
r:
r':
r'':
c:
c':
Functions
R:
Det:
\(\psi\):
\(\varphi\):
\(\kappa\):
\(\rho\):
Browse SVGs: Descartes
Legends 4_Evolute 3_d2R 5_dEvolute 2_d1R 1_d0R
Descartes: Num a=1.0
Descartes: Num a=1.0
Legends 12_Phi 11_Psi 02_Det 14_Rho 01_v2 13_Kappa
Descartes: Num a=1.0
Descartes: Num a=1.0
< Cones | Descartes | Super Ellipsis >
Messages:
0 secs.