Taken from here without attribution.http://blog.matthen.com/post/144543698841/the-area-of-two-ellipses-whose-heights-are-half …
-
-
-
Another great
#mathgif by matthen. Thanks for the ref.
End of conversation
New conversation -
-
-
Surely you can find a circle equal in area to any two ellipses combined? What have I missed here?
-
That the small axis is the radius and the large axis the diameter of the circle
- 1 more reply
New conversation -
-
-
Sorry but isn't this obvious?
Thanks. Twitter will use this to make your timeline better. UndoUndo
-
-
-
What is remarkable about your statmt. ? Any 2 identical figures can form half of a circle. Ellipse(maj-axis)=Circle(diam) is the imp. fact.
Thanks. Twitter will use this to make your timeline better. UndoUndo
-
-
-
that's correct. the area of an ellipse is πab where a and b are semi-axes. in the pic a=r, b=r/2 where r is the radius of the big circle.
Thanks. Twitter will use this to make your timeline better. UndoUndo
-
-
-
Comes naturally, but the visualisation is neat!
Thanks. Twitter will use this to make your timeline better. UndoUndo
-
-
-
but can you animate it?
-
Haha no, I wouldn't know how to animate such a thing, but I can imagine it: just distort the above animation...
End of conversation
New conversation -
Loading seems to be taking a while.
Twitter may be over capacity or experiencing a momentary hiccup. Try again or visit Twitter Status for more information.