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Topic:
Synthetic Geometry proof and Analytical Geometry proof that Conic is a Oval, never an ellipse// yes Apollonius was wrong
Replies:
5
Last Post:
Oct 7, 2017 1:48 AM




mounting evidence Re: ..proof that Conic is a Oval, never an ellipse// yes Apollonius was wrong
Posted:
Oct 6, 2017 6:02 AM


Now we have more and more supporting evidence coming in that Conic section is an Oval, never an ellipse.
1) in order to get a ellipse out of a cone, what we have to do is use a knife that makes a butterfly cut such as this
\ / \ /
And once cut we flatten out the butterfly cut to be an ellipse
And in the same manner, a Cylinder section is always a Ellipse, and to get a oval from cylinder we use this Butterfly cut, an asymmetrical butterfly cut.
2) Another new supporting evidence is the square pyramid replacing the cone. Now a square pyramid section if the conic was a ellipse, we should expect the pyramid section to be a rectangle, for the rectangle is the analog of the ellipse. Instead, what we get in a cut is a trapezoid, the analog of a oval.
So, more and more evidence mounts, that the conic section is oval, never ellipse.
AP



