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I have a cone on the z axis with his summit on height h meeting a cylinder on the x axis. The expressions should be:

cylinder: y^{2}+z^{2}=r^{2}

cone: x^{2}+y^{2}=(z-h)^{2}tan(phi)^{2}

If we consider any straight line on the cone, what is the lenght of this line inside the cylinder?

Is it possible to get a theorical exprssion of this?

I tried the approche of the distance between two points, but i need a third equation to know the three coordinates of each points. Any ideas?

Thanks a lot,

Alx

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# Geometry problem: a cone meeting a cylindre.

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