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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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Me

Posts: 1,716
Registered: 1/23/16
Re: 11) Is Andrew Wiles, John Conway failures of trigonometry like
Burse//sine wave is semicircle Not sinusoidal

Posted: Oct 7, 2017 5:16 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

On Saturday, October 7, 2017 at 2:54:00 AM UTC+2, Archimedes Plutonium wrote:

> Thus making the sine graph and cosine graph to be a SEMICIRCLE graph.

Look, Archie, this CANNOT be the case.

Proof:

Let's assume that you were right.

Then (x - 1)^2 + sin^2(x) = 1 and hence sin^2(x) = 1 - (x - 1)^2 .

And x^2 + cos^2(x) = 1, hence cos^2(x) = 1 - x^2 .

The two semicircles would intersect at a point x such that sin^2(x) = cos^2(x),
hence 1 - x^2 = 1 - (x - 1)^2, hence x^2 - 2x + 1 = x^2, hence 1 - 2x = 0, hence x = 1/2.

But then, for this x, we would have

sin^2(x) + cos^2(x) = sin^2(1/2) + cos^2(1/2) = 2 * 3/4 = 3/2 = 1.5

Now from Pythagoras and the definition of sin and cos we have sin^2(x) + cos^2(x) = 1 for all x. Contradiction!

qed

See:
https://en.wikipedia.org/wiki/Pythagorean_trigonometric_identity


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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