- #1
yoohyojinn
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Intercepts in quadric surfaces??
How many intercepts can an ellipsoid have?
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.
Homework Statement
How many intercepts can an ellipsoid have?
Homework Equations
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.