(adsbygoogle = window.adsbygoogle || []).push({}); Intercepts in quadric surfaces??

1. The problem statement, all variables and given/known data

How many intercepts can an ellipsoid have?

2. Relevant equations

3. The attempt at a solution

First of all, I don't understand what exactly "an intercept" means in quadric surfaces.

in two dimensions, intercepts are the points that the graph meets with x&y axes.

So in three dimensions, do intercepts still mean the points that the surface meets with x,y,z axes?

if what I understand is right, an ellipsoid can have at least 0 intercept, and at most 6 intercepts.

And an elliptic parabaloid can have at least 1 intercept, and at most 6 intercepts.

is it right??

Thanks.

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# Intercepts in quadric surfaces?

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