Ellipse Proof by Circle : Affine Transformation

Cumbersome Ellipse proof below :

By Affine Transformation the Ellipse to a Circle, the corresponding ratios preserved. Hence it is easier to prove in the circle below:

Similar triangles CQV ~ CTQ

数学中的冷知识:圆幂定理,现在初中课本中都不讲了,但是非常有趣?

圆幂 定理 II: The Affine Transformation FROM Circle to Ellipse. Also applicable to all other 2 Theorems.

https://m.toutiaoimg.cn/a6580683485986423309

Proof : Ellipse Area from Circle :