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*t*, like so:

x1 = f1(t)

y1 = f2(t)

z1 = f3(t)

x2 = f4(t)

y2 = f5(t)

z2 = f6(t)

I am trying to find the intersection of these two curves, but I am having some difficulty with the mathematics. In two dimensions, I simply solve for t as a function of

*x*, and then plug that value of

*t*into my

*y*function to obtain

*y*as a function of

*x*. With three equations, I cannot do this.

Any idea of how I should approach this problem? Thanks!