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# record 1: header: parent, keywords
# record 2: calling parameters
# record 3: submit buttons
# record 4: html form content
:geometry, analytic geometry, algebraic geometry
implicit, parametric, implicit curve, parametric curve, space curve,
implicit space curve, parametric space curve, curve, equation,
implicit equation, parametric equation
:precision, 12
operation, parametric to implicit curve 3D
size, 600x360
:, Find the implicit equation
:<TD ALIGN=CENTER>
$submit1
of a space parametric curve:
<TD ALIGN=LEFT>x = f(t) =
<INPUT TYPE=TEXT SIZE=15 NAME="formula" VALUE="$var_1">
<BR>y = g(t) =
<INPUT TYPE=TEXT SIZE=10 NAME="formula" VALUE="$var_2">
<BR>z = h(t) =
<INPUT TYPE=TEXT SIZE=10 NAME="formula" VALUE="$var_3">
:t^3-2t+1, t^3-1, t^3+t
t^2+t, t^2-2t, t^3-t, t^3+t^2
t^2+1, t^2-1, t^2+t+1, t+1, t-1