Understanding Curves and Surfaces in Math with Maxima

Posted by on Jan 26, 2025 in Construction Engineering | 0 comments

Understanding Curves in the Plane

Implicit (F(x,y) = 0) / Explicit: z = F(x,y) / Parametric: X(u,v), Y(u,v), Z(u,v)

Explicit Curve

define(F(x),(x-1)/(2*x^2+1))

Represent:

  • wxdraw2d(explicit(F(x),x,-3,3))
  • wxdraw2d(color=red,explicit(F(x),x,-3,3), xrange=[-4,4], yrange=[-1.5,0.5], xaxis=true, yaxis=true, title="Example")

Implicit Curve

define(G(x,y),x^2+y^2-1)

Represent:

  • wxdraw2d(implicit(G(x,y),x,-1,1,y,-1,1))
  • wxdraw2d(color=red, implicit(G(x,y),x,-1,1,y,-1,1), xrange=[-1.5,1.5], yrange=[-1.5,1.5], proportional_
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