Jun 24, 2017 · The surface area of your ellipsoid will lie between them (that's not generally true, but it is for convex bodies, and ellipsoids are convex). $\endgroup$ – user436658 Commented Jun 23, 2017 at 17:21

Jun 30, 2023 · $\begingroup$ In fact, let X be any subset of a plane P such that X has a well-defined area. Call it area(X). Then after X is projected perpendicularly from P to another plane Q making an angle of 𝜃 with P, the projected image of X will after the projection have area in Q equal to the product area(X)∙cos(𝜃).

Jul 31, 2015 · Suppose the ellipse has equation $\frac{x^2}{b^2}+\frac{y^2}{a^2}=1$. I understand the way to obtain the surface area of the ellipsoid is to rotate the curve around y-axis and use surface of revolution.

Apr 6, 2015 · (surface) Area of an ellipse by integrating. Ask Question Asked 9 years, 9 months ago.

Mar 4, 2021 · I am doing some research on ellipsoids. I am not sure where the formula for the surface area of a prolate ellipsoid comes from. Can anyone please help me with how to derive the formula. I have the

Aug 24, 2020 · Using calculus, I attempted to find a formula for the surface area of an ellipsoid, which is a solid obtained by rotating the ellipse $\displaystyle\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$ around the...

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I am assuming that you want to find the area of the surface generated by revolving the ellipse $\frac{x^2}{2}+y^2=1$ about the x-axis.

Surface area element of an ellipsoid. 2. Calculating surface of ellipsoid visible from any point outside ...

$\begingroup$ In the answers, you keep coming back to an ellipse being the points where the sum of the distances from the foci is $2a$. Another way to define an ellipse is by the equation $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$ (which is equivalent to stretching a circle). Another way is …