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Topic: How we get a Ellipse from a Conic, and how we get a Oval from
Cylinder Sections-- knifes that are V and asymmetrical V shaped

Replies: 27   Last Post: Oct 8, 2017 12:41 AM

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plutonium.archimedes@gmail.com

Posts: 18,275
Registered: 3/31/08
How we get a Ellipse from a Conic, and how we get a Oval from
Cylinder Sections-- knifes that are V and asymmetrical V shaped

Posted: Oct 5, 2017 12:38 PM
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Alright, if our knife in Conic and Cylinder sectioning was always the normal knife then the Conic section is always a Oval, never an Ellipse. The Cylinder section is always a ellipse, never an oval.

So, that is true and I proved it.

But, today, what we want to do, is prove that -- how in the world can we get a ellipse out of a Conic Sectioning. For I want to stop saying "never an ellipse".

Alright, we know the Conic Sectioning is two cones shaped like this


\ /
\ /
\/
/\
/ \
/ \


Now, we do a Descent of one cone into the other cone. It can be either the top cone downwards into the other cone or the bottom cone upwards. And the descent of one into the other follows the cone axis, so it is a symmetrical descent and keeps the angle constant. And now, the knife that cuts is shaped like a V or ^. What this generates is what can be called two parabolas with a dihedral angle (discussed last night in association with polyhedra-- but has given me this idea of ellipse generation from conics).

Now, we have a V shaped Conic Section, and now, imagine a iron board where we iron out that dihedral angle of the V conic with a parabola for the / and another identical parabola for the \.

We iron that out and produce a Ellipse from a conic. Now, of course, that hinges on the idea, if true, that you can take any Ellipse, fold it at its center line of minor-axis (not sure if the major axis centerline has two parabolas using the center as the focus-- not sure, but suspect so.

Now, to get a Oval out of the Cylinder section, we do the same process, without a descent, but rather with a nonsymmetrical V knife. What is that? It is a V knife where you take one side and the angle and cylinder axis and make different.

/|\

make one angle different from other

/ |\

Now, in the proof, I have to show there is no "seam". That we can take a ellipse, cause a dihedral angle to appear as a folded ellipse, and then show that each half is a parabola. In the Oval from cylinder section here again I need to prove no seam is involved.

AP


Date Subject Author
10/5/17
Read How we get a Ellipse from a Conic, and how we get a Oval from
Cylinder Sections-- knifes that are V and asymmetrical V shaped
plutonium.archimedes@gmail.com
10/5/17
Read Re: How we get a Ellipse from a Conic, and how we get a Oval from Cylinder Sections-- knifes that are V and asymmetrical V shaped
Michael Moroney
10/5/17
Read Re: How we get a Ellipse from a Conic, and how we get a Oval from
Cylinder Sections-- knifes that are V and asymmetrical V shaped
Jan Bielawski
10/5/17
Read Re: How we get a Ellipse from a Conic, and how we get a Oval from
Cylinder Sections-- knifes that are V and asymmetrical V shaped
Dan Christensen
10/5/17
Read Re: How we get a Ellipse from a Conic, and how we get a Oval from
Cylinder Sections-- knifes that are V and asymmetrical V shaped
Jan Bielawski
10/5/17
Read Re: How we get a Ellipse from a Conic, and how we get a Oval from
Cylinder Sections-- knifes that are V and asymmetrical V shaped
Dan Christensen
10/5/17
Read Re: How we get a Ellipse from a Conic, and how we get a Oval from
Cylinder Sections-- knifes that are V and asymmetrical V shaped
Me
10/5/17
Read Re: How we get a Ellipse from a Conic, and how we get a Oval from
Cylinder Sections-- knifes that are V and asymmetrical V shaped
qbwrfmlx@gmail.com
10/5/17
Read Re: How we get a Ellipse from a Conic, and how we get a Oval from
Cylinder Sections-- knifes that are V and asymmetrical V shaped
Dan Christensen
10/5/17
Read Re: How we get a Ellipse from a Conic, and how we get a Oval from
Cylinder Sections-- knifes that are V and asymmetrical V shaped
plutonium.archimedes@gmail.com
10/5/17
Read The butterfly cut, a V cut into conics Re: How we get a Ellipse from
a Conic
plutonium.archimedes@gmail.com
10/6/17
Read Re: How we get a Ellipse from a Conic, and how we get a Oval from Cylinder Sections-- knifes that are V and asymmetrical V shaped
Michael Moroney
10/6/17
Read Re: How we get a Ellipse from a Conic, and how we get a Oval from
Cylinder Sections-- knifes that are V and asymmetrical V shaped
Jan Bielawski
10/6/17
Read Re: How we get a Ellipse from a Conic, and how we get a Oval from
Cylinder Sections-- knifes that are V and asymmetrical V shaped
Jan Bielawski
10/6/17
Read Re: How we get a Ellipse from a Conic, and how we get a Oval from
Cylinder Sections-- knifes that are V and asymmetrical V shaped
Me
10/6/17
Read 1)Gottingen's Dorothea Bahns, Laurent Bartholdi, are you as dumb
stupid and messy about Conics as Franz? Oval is the conic section, never ellipse
plutonium.archimedes@gmail.com
10/6/17
Read Re: 1)Gottingen's Dorothea Bahns, Laurent Bartholdi, are you as dumb
stupid and messy about Conics as Franz? Oval is the conic section, never ellipse
bursejan@gmail.com
10/6/17
Read 11) Is Andrew Wiles, John Conway failures of trigonometry like
Burse//sine wave is semicircle Not sinusoidal
plutonium.archimedes@gmail.com
10/6/17
Read Re: 11) Is Andrew Wiles, John Conway failures of trigonometry like
Burse//sine wave is semicircle Not sinusoidal
Jan Bielawski
10/7/17
Read Re: 11) Is Andrew Wiles, John Conway failures of trigonometry like Burse//sine wave is semicircle Not sinusoidal
Michael Moroney
10/7/17
Read 4) Harvard's Mark Kisin, Peter Kronheimer, Jacob Lurie as dumb as
Mike Moroney, still teaching a ellipse is a conic when even students know it
is a OVAL
plutonium.archimedes@gmail.com
10/7/17
Read Re: Archimedes "Always Wrong" Plutonium's descent into madness continues...
Michael Moroney
10/8/17
Read Re: 4) Harvard's Mark Kisin, Peter Kronheimer, Jacob Lurie as dumb as
Mike Moroney, still teaching a ellipse is a conic when even students know it
is a OVAL
Jan Bielawski
10/6/17
Read Re: 11) Is Andrew Wiles, John Conway failures of trigonometry like
Burse//sine wave is semicircle Not sinusoidal
Me
10/6/17
Read Re: 11) Is Andrew Wiles, John Conway failures of trigonometry like
Burse//sine wave is semicircle Not sinusoidal
qbwrfmlx@gmail.com
10/7/17
Read Re: 11) Is Andrew Wiles, John Conway failures of trigonometry like
Burse//sine wave is semicircle Not sinusoidal
Me
10/6/17
Read Re: 1)Gottingen's Dorothea Bahns, Laurent Bartholdi, are you as dumb
stupid and messy about Conics as Franz? Oval is the conic section, never ellipse
Me
10/5/17
Read Re: How we get a Ellipse from a Conic, and how we get a Oval from
Cylinder Sections-- knifes that are V and asymmetrical V shaped
Me

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