Is it possible to capture the intersection of a line and a surface of revolution.

Berl shared this question 2 years ago

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Is it possible to capture the intersection of a line and a surface of revolution?

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Simona Riva ● 2 years ago

Please post your file :)

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Berl ● 2 years ago

These are two constructions I have made, trying to get intersect of line and surface.

Files: Line and surfac... Line and parabo...

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artydent ● 2 years ago

Didn't find a way to work with only the two objects g and a, but it's possible to work with A, B, f, g.

Assuming that A and B stay on the axis (as in your example), it'd be possible to just transfer everything into 2D and produce a solution there (see frndmrsl's solutions). I made a more general solution with no restrictions on the position of A and B. The only assumptions are that the definitions of g and a stay as they are (e.g. no swapping the order of points in the definition of g or rotating around another axis for a or some such).

Files: Line and surfac... Line and parabo...

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frndmrsl ● 2 years ago

Une piste

Files: Line and surfac...

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frndmrsl ● 2 years ago

Et aussi

Files: Line and parabo...

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mathmagic ● 2 years ago

try y^2+z^2=x instead a

Is it possible to capture the intersection of a line and a surface of revolution.

in general no

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Berl ● 2 years ago

Thanks for the responses. A Geogebra novice, I assumed in general it should be possible, but it apparently isn’t.

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