How the fuck do I prove that the area of an ellipse with minor

you times a and b because of the power between them. then you multiply by pi to show the significance of that fact. well-ah!!

>>8699481
Space deformation from the area of a circle ?

https://proofwiki.org/wiki/Area_of_Ellipse look at the second one

>>8699481
Since an ellipse is a circle viedwed from any angle, the ratio of an ellipse's area to that of its bounding rectangle must equal the ratio of a circle to that of its bounding square, no proof needed.

>>8699552
>let K be an ellipse...
>proceeds never to use that symbol K for the rest of the proof
kek

>>8700000
Speaking of KeK...

>>8699481
Unless you are specifically banned from integrating because of a homework question or whatever, you should really just integrate.

>>8700009
I guess the point is to figure out how Archimedes was able to prove this, or just to find out how it was done historically.

>>8699481
ellipse=image of unit circle under linear transformation corresponding to matrix Diag(a,b)

area of ellipse=(area of circle)*Det(Diag(a,b))

>>8700381
this.

Also, fill a unit circle (area pi) with tiny little squares. Stretch the x axis by a factor of b, then stretch the y axis by a factor of a. Each little square becomes a rectangle, and the area of each one has changed by a factor of ab. So the sum of their areas has changed by a factor of ab. Thus the area of an ellipse is pi*a*b.

File: That+sounds+like+the+name+of+someone+who+would+make+_d715158b142f45fb050e0c8f15e2eeb7.png (104KB, 203x296px) Image search: [Google]

104KB, 203x296px

>>8700000