How to make a function of the distance between the curves?

Hello!
Need to find the shortest distance between two curves by the method of gradient descent:
x^2+y^2-2*x+4*y+3 = 0 and x = (cosϕ)^3 − 1, y = 2 + (sinϕ)^3
The crux of the matter is that I can't be a function of the distance between points on these lines to minimize. Tell me how to do it? Thanks in advance
March 19th 20 at 09:16
1 answer
March 19th 20 at 09:18
There is a formula for the distance between two points:
sqrt((x2-x1)^2+(y2-y1)^2)
That's it, substitute x and y from the first and second equations, and in the first have to Express x through y.
Get a function of the distance between two arbitrary points of the curves:
d = f(x; f) >= 0

p.s.
If we are talking about real numbers.
I know this equation, I have a problem just the same is to Express x and y from the first equation of the curve - Wade_Barrows76 commented on March 19th 20 at 09:21
@Wade_Barrows76, y= -2 +- sqrt(1 + 2 x - x^2) - elvie_Tromp63 commented on March 19th 20 at 09:24

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