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| Started by | Archimedes Plutonium <plutonium.archimedes@gmail.com> |
|---|---|
| First post | 2018-08-26 14:26 -0700 |
| Last post | 2018-08-27 19:29 -0700 |
| Articles | 5 — 2 participants |
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Graham Denham, Janusz Adamus, Tatyana Barron of Univ Western Ontario insist on teaching Gay-geometry of ellipse, rather than true geometry-- for they deny ellipse is cylinder section, never a conic section Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-08-26 14:26 -0700
Re: Archimedes "Total Failure" Plutonium flunked the Math Test of a lifetime-generation test moroney@world.std.spaamtrap.com (Michael Moroney) - 2018-08-26 21:49 +0000
Re: Archimedes "Total Failure" Plutonium flunked the Math Test of a lifetime-generation test Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-08-26 15:12 -0700
Re: Archimedes "Total Failure" Plutonium flunked the Math Test of a lifetime-generation test moroney@world.std.spaamtrap.com (Michael Moroney) - 2018-08-26 23:45 +0000
Christensen's dictatorship of fake math at UWO Re: Graham Denham, Janusz Adamus, Tatyana Barron of Univ Western Ontario insist on teaching fake math Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-08-27 19:29 -0700
| From | Archimedes Plutonium <plutonium.archimedes@gmail.com> |
|---|---|
| Date | 2018-08-26 14:26 -0700 |
| Subject | Graham Denham, Janusz Adamus, Tatyana Barron of Univ Western Ontario insist on teaching Gay-geometry of ellipse, rather than true geometry-- for they deny ellipse is cylinder section, never a conic section |
| Message-ID | <77d7f79a-7104-4146-9d17-988a05b3c4c1@googlegroups.com> |
Graham Denham, Janusz Adamus, Tatyana Barron of Univ Western Ontario insist on teaching Gay-geometry of ellipse, rather than true geometry-- for they deny ellipse is cylinder section, never a conic section Univ Western Ontario prefers to teach fake, Gay math, rather than teach true math-- ellipse is never a conic, always a cylinder section (SEE AP PROOF BELOW). Christensen and his fellow gang of gay-- fobbs in sci.math, not only are they fools of Logic with their 2 OR 10 = 12, when any kid knows 2 AND 10 = 12 but they fobb off the ellipse-- On Friday, August 24, 2018 at 8:17:57 AM UTC-5, Michael Moroney wrote: > Homophobic Math Failure Archimedes Plutonium <plutonium.archimedes@gmail.com> fails: > > > AP writes:: Moroney, was it not the dumb German Franz that you cobbed > > that above fake proof > > Fake proof? How come you can't prove it wrong? Show us where it is wrong. > > Here it is again for you: > > > Below you will find a simple *proof* that shows that certain conic > sections are ellipses. > > Some preliminaries: > > Top view of the conic section and depiction of the coordinate system used > in the proof: > > ^ x > | > -+- <= x=h > .' | `. > . | . > | | | > ' | ' > `. | .' > y <----------+ <= x=0 > > Cone (side view): > . > /|\ > / | \ > /b | \ > /---+---' <= x = h > / |' \ > / ' | \ > / ' | \ > x = 0 => '-------+-------\ > / a | \ > > Proof: > > r(x) = a - ((a-b)/h)x and d(x) = a - ((a+b)/h)x, hence > > y(x)^2 = r(x)^2 - d(x)^2 = ab - ab(2x/h - 1)^2 = ab(1 - 4(x - h/2)^2/h^2. > > Hence (1/ab)y(x)^2 + (4/h^2)(x - h/2)^2 = 1 ...equation of an ellipse > > qed Dan Christensen failed Logic for any person with a gram of Logic is not confused over distinct-- On Wednesday, January 25, 2017 at 10:08:09 AM UTC-6, Peter Percival wrote: > Dan Christensen wrote: > > On Wednesday, January 25, 2017 at 9:47:32 AM UTC-5, Archimedes Plutonium wrote: > >> On Wednesday, January 25, 2017 at 8:27:19 AM UTC-6, Dan Christensen wrote: > >>> On Wednesday, January 25, 2017 at 9:16:52 AM UTC-5, Archimedes Plutonium wrote: > >>>> PAGE58, 8-3, True Geometry / correcting axioms, 1by1 tool, angles of logarithmic spiral, conic sections unified regular polyhedra, Leaf-Triangle, Unit Basis Vector > >>>> > >>>> The axioms that are in need of fixing is the axiom that between any two points lies a third new point. > >>> > >>> The should be "between and any two DISTINCT points." > >>> > >> > >> What a monsterous fool you are > >> > > > > OMG. You are serious. Stupid and proud of it. > > And yet Mr Plutonium is right. Two points are distinct (else they would > be one) and it is not necessary to say so. > And so, what does Canada do about a failure of logic, and a stalker for 6 years? Believe it or not, Canada, lets these invalids of logic, construct web sites on Logic to further fill students with Logic-mind-rot. Dan Christensen is anti-math and has stalked AP for 6 years in hopes of kicking AP out of sci.math. Dan belongs in a sanatorium with other insane people. Univ Western Ontario math dept Janusz Adamus, Tatyana Barron, Dan Christensen, Graham Denham, Ajneet Dhillon, Matthias Franz, John Jardine, Massoud Khalkhali, Nicole Lemire, Jan Mináč, Victoria Olds, Martin Pinsonnault, Lex Renner, David Riley, Rasul Shafikov, Gordon Sinnamon Amit Chakma (chem engr) Univ. Western Ontario physics dept Pauline Barmby, Shantanu Basu, Peter Brown, Alex Buchel, Jan Cami, Margret Campbell-Brown, Blaine Chronik, Robert Cockcroft, John R. de Bruyn, Colin Denniston, Giovanni Fanchini, Sarah Gallagher, Lyudmila Goncharova, Wayne Hocking, Martin Houde, Jeffrey L. Hutter, Carol Jones, Stan Metchev, Silvia Mittler, Els Peeters, Robert Sica, Aaron Sigut, Peter Simpson, Mahi Singh, Paul Wiegert, Eugene Wong, Martin Zinke-Allmang Univ Toronto, physics, Gordon F. West, Michael B. Walker, Henry M. Van Driel, David J. Rowe, John W. Moffat, John F. Martin, Robert K. Logan, Albert E. Litherland, Roland List, Philipp Kronberg, James King, Anthony W. Key, Bob Holdom, Ron M. Farquhar, R. Nigel Edwards, David J. Dunlop, James Drummond, Tom E. Drake, R.Fraser Code, Richard C. Bailey, Robin Armstrong Canadian Educ Ministers-- endorsing stalking hypocrites like Dan Christensen with his insane 2 OR 10 = 12 when even a Canadian 8 year old knows 2 AND 10 = 12. These education ministers in Canada seem to endorse the stalker behavior of Dan Christensen Sebastien Proulx Jordan Brown David Eggen Gordon Wyant Zach Churchill Ian Wishart Rob Fleming Endorsing the "perpetual stalking by Dan Christensen" for one can only guess that they hate true math that a Ellipse is never a conic, that 2 AND 10 = 12, and that no negative numbers can exist because 10/0 does not exist. /\-------/\ \::O:::O::/ (::_ ^ _::) \_`-----'_/ You mean the classroom is the world, not just my cubbyhole at Univ Western Ontario? And, even though you-- professors of math who never want to fix and clean up error filled mathematics, your students deserve better, and you should quit teaching if you cannot come around to admitting a ellipse is a cylinder section, never a conic section. For it is embarrassing to have students smarter than the math professor who by taking a cone, cylinder can and a round lid, can prove on the spot, in the classroom that the cone yields an oval, never an ellipse. Proofs ellipse is never a conic, always a cylinder section by Archimedes Plutonium -------------------- Conics = oval, 2 proofs, synthetic, analytic Synthetic Geometry & Analytical Geometry Proofs that Conic section = Oval, never an ellipse-- World's first proofs thereof by Archimedes Plutonium _Synthetic Geometry proofs that Cylinder section= Ellipse// Conic section= Oval First Synthetic Geometry proofs, later the Analytic Geometry proofs. Alright I need to get this prepared for the MATH ARRAY of proofs, that the Ellipse is a Cylinder section, and that the Conic section is an oval, never an ellipse PROOF that Cylinder Section is an Ellipse, never a Oval:: I would have proven it by Symmetry. Where I indulge the reader to place a circle inside the cylinder and have it mounted on a swivel, a tiny rod fastened to the circle so that you can pivot and rotate the circle. Then my proof argument would be to say--when the circle plate is parallel with base, it is a circle but rotate it slightly in the cylinder and determine what figure is produced. When rotated at the diameter, the extra area added to the upper portion equals the extra area added to bottom portion in cylinder, symmetrical area added, hence a ellipse. QED Now for proof that the Conic section cannot be an ellipse but an oval, I again would apply the same proof argument by symmetry. Proof:: Take a cone in general, and build a circle that rotates on a axis. Rotate the circle just a tiny bit for it is bound to get stuck or impeded by the upward slanted walls of the cone. Rotate as far as you possibly can. Now filling in the area upwards is far smaller than filling in the area downwards. Hence, only 1 axis of symmetry, not 2 axes of symmetry. Define Oval as having 1 axis of symmetry. Thus a oval, never an ellipse. QED The above two proofs are Synthetic Geometry proofs, which means they need no numbers, just some concepts and axioms to make the proof work. A Synthetic geometry proof is where you need no numbers, no coordinate points, no arithmetic, but just using concepts and axioms. A Analytic Geometry proof is where numbers are involved, if only just coordinate points. Array:: Analytic Geometry proof that Cylinder section= Ellipse//Conic section = Oval, never ellipse Now I did 3 Experiments and 3 models of the problem, but it turns out that one model is superior over all the other models. One model is the best of all. That model is where you construct a cone and a cylinder and then implant a circle inside the cone and cylinder attached to a handle so that you can rotate the circle inside. Mine uses a long nail that I poked holes into the side of a cylinder and another one inside a cone made from heavy wax paper of magazine covers. And I used a Mason or Kerr used lid and I attached them to the nail by drilling two holes into each lid and running a wire as fastener. All of this done so I can rotate or pivot the circle inside the cylinder and cone. You need a long nail, for if you make the models too small or too skinny, you lose clarity. ARRAY, Analytic Geometry Proof, Cylinder Section is a Ellipse:: E __ .-' `-. .' `. / \ ; ; | G c | H ; ; \ / `. .' `-. _____ .-' F The above is a view of a ellipse with center c and is produced by the Sectioning of a Cylinder as long as the cut is not perpendicular to the base, and as long as the cut involves two points not larger than the height of the cylinder walls. What we want to prove is that the cut is always a ellipse, which is a plane figure of two axes of symmetry with a Major Axis and Minor Axis and center at c. Side view of Cylinder EGFH above with entry point cut at E and exit point cut at F and where c denotes the central axis of the cylinder and where x denotes a circle at c parallel with the base-circle of cylinder | | | | E | | | | |x c |x | | | | | | |F | | | | | | | So, what is the proof that figure EGFH is always an ellipse in the cylinder section? The line segment GH is the diameter of the circle base of cylinder and the cylinder axis cuts this diameter in half such that Gc = cH. Now we only need to show that Fc = cE. This is done from the right triangles cxF and cxE, for we note that by Angle-Side-Angle these two right triangles are congruent and hence Fc = cE, our second axis of symmetry and thus figure EGFH is always an ellipse. QED Array proof:: Analytic Geometry proof that Conic section= Oval// never ellipse ARRAY, Analytic Geometry Proof, Conic Section is a Oval, never an ellipse:: A ,'" "`. / \ C | c | D \ / ` . ___ .' B The above is a view of a figure formed from the cut of a conic with center c as the axis of the cone and is produced by the Sectioning of a Cone as long as the cut is not perpendicular to the base, and as long as the cut is not a hyperbola, parabola or circle (nor line). What we want to prove is that this cut is always a oval, never an ellipse. An oval is defined as a plane figure of just one axis of symmetry and possessing a center, c, with a Major Diameter as the axis of symmetry and a Minor Diameter. In our diagram above, the major diameter is AB and minor diameter is CD. Alright, almost the same as with Cylinder section where we proved the center was half way between Major Axis and Minor Axis of cylinder, only in the case of the Conic, we find that the center is half way between CD the Minor Diameter, but the center is not halfway in between the Major Diameter, and all of that because of the reason the slanted walls of the cone cause the distance cA to be far smaller than the distance cB. In the diagram below we have the circle of x centered at c and parallel to base. The angle at cx is not 90 degrees as in cylinder. The angle of cAx is not the same as the angle cBx, as in the case of the cylinder, because the walls of the cone-for line segments- are slanted versus parallel in the cylinder. Triangles cAx and cBx are not congruent, and thus, the distance of cA is not equal to cB, leaving only one axis of symmetry AB, not CD. / \A x/ c \x B/ \ Hence, every cut in the Cone, not a hyperbola, not a parabola, not a circle (not a line) is a Oval, never an ellipse. QED --Archimedes Plutonium Very crude dot picture of 5f6, 94TH ELECTRON=muon DOT CLOUD of 231Pu ::\ ::|:: /:: ::\::|::/:: _ _ (:Y:) - - ::/::|::\:: ::/ ::|:: \:: One of those dots is the Milky Way galaxy. And each dot represents another galaxy. . \ . . | . /. . . \. . .|. . /. . ..\....|.../... ::\:::|::/:: --------------- ------------- --------------- (Y) ------------- --------------- -------------- ::/:::|::\:: ../....|...\... . . /. . .|. . \. . . / . . | . \ . http://www.iw.net/~a_plutonium/ whole entire Universe is just one big atom where dots of the electron-dot-cloud are galaxies I re-opened the old newsgroup PAU of 1990s and there one can read my recent posts without the hassle of spammers, off-topic-misfits, front-page-hogs, stalking mockers, suppression-bullies, and demonizers. Read my recent posts in peace and quiet. https://groups.google.com/forum/?hl=en#!forum/plutonium-atom-universe Archimedes Plutonium
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| From | moroney@world.std.spaamtrap.com (Michael Moroney) |
|---|---|
| Date | 2018-08-26 21:49 +0000 |
| Subject | Re: Archimedes "Total Failure" Plutonium flunked the Math Test of a lifetime-generation test |
| Message-ID | <plv791$mnn$4@pcls7.std.com> |
| In reply to | #422221 |
Math Failure Archimedes Plutonium <plutonium.archimedes@gmail.com> fails:
Can the spamming shithead Archimedes Plutonium kick himself out of these
groups? We can only hope.
>Graham Denham, Janusz Adamus, Tatyana Barron of Univ Western Ontario insist
>on teaching Gay-geometry of ellipse, rather than true geometry-- for they
>deny ellipse is cylinder section, never a conic section
Why would anyone sane deny the ellipse being a conic section when many
proofs such as the following prove that it is?
Below you will find a simple *proof* that shows that certain conic
sections are ellipses.
Some preliminaries:
Top view of the conic section and depiction of the coordinate system used
in the proof:
^ x
|
-+- <= x=h
.' | `.
. | .
| | |
' | '
`. | .'
y <----------+ <= x=0
Cone (side view):
.
/|\
/ | \
/b | \
/---+---' <= x = h
/ |' \
/ ' | \
/ ' | \
x = 0 => '-------+-------\
/ a | \
Proof:
r(x) = a - ((a-b)/h)x and d(x) = a - ((a+b)/h)x, hence
y(x)^2 = r(x)^2 - d(x)^2 = ab - ab(2x/h - 1)^2 = ab(1 - 4(x - h/2)^2/h^2.
Hence (1/ab)y(x)^2 + (4/h^2)(x - h/2)^2 = 1 ...equation of an ellipse
qed
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| From | Archimedes Plutonium <plutonium.archimedes@gmail.com> |
|---|---|
| Date | 2018-08-26 15:12 -0700 |
| Subject | Re: Archimedes "Total Failure" Plutonium flunked the Math Test of a lifetime-generation test |
| Message-ID | <0f473929-e74f-4308-8935-195d8e0fb52b@googlegroups.com> |
| In reply to | #422227 |
Say there Moroney, I need your help, for Malum has been absent in stalking for a day, which is quite unusual, for him to miss any stalking opportunities. Is he sleeping with Jan Burse at his pad? And reason for his absence? But anyway, what I wanted to get your help with, is that Malum needs a spicy logo picture, not the drab black one Christensen lugs about, but a spicy yellow and orange logo picture-- for that Full sci.math experience. Can you help Malum get such a logo picture??? On Sunday, August 26, 2018 at 4:49:26 PM UTC-5, Michael Moroney wrote: > Math Failure Archimedes Plutonium <plutonium.archimedes@gmail.com> fails: > > Can the spamming shithead Archimedes Plutonium kick himself out of these > groups? We can only hope. > > >Graham Denham, Janusz Adamus, Tatyana Barron of Univ Western Ontario insist > >on teaching Gay-geometry of ellipse, rather than true geometry-- for they > >deny ellipse is cylinder section, never a conic section > > Why would anyone sane deny the ellipse being a conic section when many > proofs such as the following prove that it is? > > Below you will find a simple *proof* that shows that certain conic > sections are ellipses. > > Some preliminaries: > > Top view of the conic section and depiction of the coordinate system used > in the proof: > > ^ x > | > -+- <= x=h > .' | `. > . | . > | | | > ' | ' > `. | .' > y <----------+ <= x=0 > > Cone (side view): > . > /|\ > / | \ > /b | \ > /---+---' <= x = h > / |' \ > / ' | \ > / ' | \ > x = 0 => '-------+-------\ > / a | \ > > Proof: > > r(x) = a - ((a-b)/h)x and d(x) = a - ((a+b)/h)x, hence > > y(x)^2 = r(x)^2 - d(x)^2 = ab - ab(2x/h - 1)^2 = ab(1 - 4(x - h/2)^2/h^2. > > Hence (1/ab)y(x)^2 + (4/h^2)(x - h/2)^2 = 1 ...equation of an ellipse > > qed
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| From | moroney@world.std.spaamtrap.com (Michael Moroney) |
|---|---|
| Date | 2018-08-26 23:45 +0000 |
| Subject | Re: Archimedes "Total Failure" Plutonium flunked the Math Test of a lifetime-generation test |
| Message-ID | <plve2o$2of$1@pcls7.std.com> |
| In reply to | #422229 |
Archimedes Plutonium <plutonium.archimedes@gmail.com> writes: >Say there Moroney, I need your help, for Malum has been absent in stalking >for a day, which is quite unusual, for him to miss any stalking >opportunities. Is he sleeping with Jan Burse at his pad? And reason for >his absence? Stoopid Plutonium, you failure, I do not know Zelos and have never met him. I have never seen him stalk you, either. I will warn him that it appears that you may be starting to stalk him. >But anyway, what I wanted to get your help with, is that Malum needs a >spicy logo picture, not the drab black one Christensen lugs about, but a >spicy yellow and orange logo picture-- for that Full sci.math experience. >Can you help Malum get such a logo picture??? What's a spicy logo picture, Failure Plutonium? Does this have something to do with your gay fantasies about him?
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| From | Archimedes Plutonium <plutonium.archimedes@gmail.com> |
|---|---|
| Date | 2018-08-27 19:29 -0700 |
| Subject | Christensen's dictatorship of fake math at UWO Re: Graham Denham, Janusz Adamus, Tatyana Barron of Univ Western Ontario insist on teaching fake math |
| Message-ID | <f4db64a9-8f7a-4885-a5af-f63e47b435a2@googlegroups.com> |
| In reply to | #422221 |
Dan Christensen writes: 8:31 PM (50 minutes ago) On Monday, August 27, 2018 >WARNING TO STUDENTS: AP writes: yes, according to Christensen the entire faculty at UWO are bozo math teachers for they all teach ellipse is a conic when any bright student can prove the ellipse is never a conic but rather a cylinder section. Christensen is a hitler type dictator that wants to teach fake math. > Graham Denham, Janusz Adamus, Tatyana Barron of Univ Western Ontario insist on teaching Gay-geometry of ellipse, rather than true geometry-- for they deny ellipse is cylinder section, never a conic section > > Univ Western Ontario prefers to teach fake, Gay math, rather than teach true math-- ellipse is never a conic, always a cylinder section (SEE AP PROOF BELOW). > > Christensen and his fellow gang of gay-- fobbs in sci.math, not only are they fools of Logic with their 2 OR 10 = 12, when any kid knows 2 AND 10 = 12 but they fobb off the ellipse-- > > On Friday, August 24, 2018 at 8:17:57 AM UTC-5, Michael Moroney wrote: > > Homophobic Math Failure Archimedes Plutonium <plutonium.archimedes@gmail.com> fails: > > > > > AP writes:: Moroney, was it not the dumb German Franz that you cobbed > > > that above fake proof > > > > Fake proof? How come you can't prove it wrong? Show us where it is wrong. > > > > Here it is again for you: > > > > > > Below you will find a simple *proof* that shows that certain conic > > sections are ellipses. > > > > Some preliminaries: > > > > Top view of the conic section and depiction of the coordinate system used > > in the proof: > > > > ^ x > > | > > -+- <= x=h > > .' | `. > > . | . > > | | | > > ' | ' > > `. | .' > > y <----------+ <= x=0 > > > > Cone (side view): > > . > > /|\ > > / | \ > > /b | \ > > /---+---' <= x = h > > / |' \ > > / ' | \ > > / ' | \ > > x = 0 => '-------+-------\ > > / a | \ > > > > Proof: > > > > r(x) = a - ((a-b)/h)x and d(x) = a - ((a+b)/h)x, hence > > > > y(x)^2 = r(x)^2 - d(x)^2 = ab - ab(2x/h - 1)^2 = ab(1 - 4(x - h/2)^2/h^2. > > > > Hence (1/ab)y(x)^2 + (4/h^2)(x - h/2)^2 = 1 ...equation of an ellipse > > > > qed > > > > Dan Christensen failed Logic for any person with a gram of Logic is not confused over distinct-- > > On Wednesday, January 25, 2017 at 10:08:09 AM UTC-6, Peter Percival wrote: > > Dan Christensen wrote: > > > On Wednesday, January 25, 2017 at 9:47:32 AM UTC-5, Archimedes Plutonium wrote: > > >> On Wednesday, January 25, 2017 at 8:27:19 AM UTC-6, Dan Christensen wrote: > > >>> On Wednesday, January 25, 2017 at 9:16:52 AM UTC-5, Archimedes Plutonium wrote: > > >>>> PAGE58, 8-3, True Geometry / correcting axioms, 1by1 tool, angles of logarithmic spiral, conic sections unified regular polyhedra, Leaf-Triangle, Unit Basis Vector > > >>>> > > >>>> The axioms that are in need of fixing is the axiom that between any two points lies a third new point. > > >>> > > >>> The should be "between and any two DISTINCT points." > > >>> > > >> > > >> What a monsterous fool you are > > >> > > > > > > OMG. You are serious. Stupid and proud of it. > > > > And yet Mr Plutonium is right. Two points are distinct (else they would > > be one) and it is not necessary to say so. > > > > And so, what does Canada do about a failure of logic, and a stalker for 6 years? Believe it or not, Canada, lets these invalids of logic, construct web sites on Logic to further fill students with Logic-mind-rot. > Dan Christensen is anti-math and has stalked AP for 6 years in hopes of kicking AP out of sci.math. Dan belongs in a sanatorium with other insane people. > > Univ Western Ontario math dept > Janusz Adamus, Tatyana Barron, Dan Christensen, Graham Denham, Ajneet Dhillon, Matthias Franz, John Jardine, Massoud Khalkhali, Nicole Lemire, Jan Mináč, Victoria Olds, Martin Pinsonnault, Lex Renner, David Riley, Rasul Shafikov, Gordon Sinnamon > > > Amit Chakma (chem engr) > > Univ. Western Ontario physics dept > Pauline Barmby, Shantanu Basu, Peter Brown, Alex Buchel, Jan Cami, Margret Campbell-Brown, Blaine Chronik, Robert Cockcroft, John R. de Bruyn, Colin Denniston, Giovanni Fanchini, Sarah Gallagher, Lyudmila Goncharova, Wayne Hocking, Martin Houde, Jeffrey L. Hutter, Carol Jones, Stan Metchev, Silvia Mittler, Els Peeters, Robert Sica, Aaron Sigut, Peter Simpson, Mahi Singh, Paul Wiegert, Eugene Wong, Martin Zinke-Allmang > > Univ Toronto, physics, Gordon F. West, Michael B. Walker, Henry M. Van Driel, David J. Rowe, John W. Moffat, John F. Martin, Robert K. Logan, Albert E. Litherland, Roland List, Philipp Kronberg, James King, Anthony W. Key, Bob Holdom, Ron M. Farquhar, R. Nigel Edwards, David J. Dunlop, James Drummond, Tom E. Drake, R.Fraser Code, Richard C. Bailey, Robin Armstrong > > > Canadian Educ Ministers-- endorsing stalking hypocrites like Dan Christensen with his insane 2 OR 10 = 12 when even a Canadian 8 year old knows 2 AND 10 = 12. > > These education ministers in Canada seem to endorse the stalker behavior of Dan Christensen > Sebastien Proulx > Jordan Brown > David Eggen > Gordon Wyant > Zach Churchill > Ian Wishart > Rob Fleming > Endorsing the "perpetual stalking by Dan Christensen" for one can only guess that they hate true math that a Ellipse is never a conic, that 2 AND 10 = 12, and that no negative numbers can exist because 10/0 does not exist. > > /\-------/\ > \::O:::O::/ > (::_ ^ _::) > \_`-----'_/ > You mean the classroom is the world, not just my cubbyhole at Univ Western Ontario? > And, even though you-- professors of math who never want to fix and clean up error filled mathematics, your students deserve better, and you should quit teaching if you cannot come around to admitting a ellipse is a cylinder section, never a conic section. For it is embarrassing to have students smarter than the math professor who by taking a cone, cylinder can and a round lid, can prove on the spot, in the classroom that the cone yields an oval, never an ellipse. > > Proofs ellipse is never a conic, always a cylinder section by > Archimedes Plutonium > -------------------- > Conics = oval, 2 proofs, synthetic, analytic > > Synthetic Geometry & Analytical Geometry Proofs that Conic section = > Oval, never an ellipse-- World's first proofs thereof > by Archimedes Plutonium > _Synthetic Geometry proofs that Cylinder section= Ellipse// Conic section= Oval > > First Synthetic Geometry proofs, later the Analytic Geometry proofs. > > Alright I need to get this prepared for the MATH ARRAY of proofs, that > the Ellipse is a Cylinder section, and that the Conic section is an > oval, never an ellipse > > PROOF that Cylinder Section is an Ellipse, never a Oval:: > I would have proven it by Symmetry. Where I indulge the reader to > place a circle inside the cylinder and have it mounted on a swivel, a > tiny rod fastened to the circle so that you can pivot and rotate the > circle. Then my proof argument would be to say--when the circle plate > is parallel with base, it is a circle but rotate it slightly in the > cylinder and determine what figure is produced. When rotated at the > diameter, the extra area added to the upper portion equals the extra > area added to bottom portion in cylinder, symmetrical area added, > hence a ellipse. QED > > Now for proof that the Conic section cannot be an ellipse but an oval, > I again would apply the same proof argument by symmetry. > > Proof:: Take a cone in general, and build a circle that rotates on a > axis. Rotate the circle just a tiny bit for it is bound to get stuck > or impeded by the upward slanted walls of the cone. Rotate as far as > you possibly can. Now filling in the area upwards is far smaller than > filling in the area downwards. Hence, only 1 axis of symmetry, not 2 > axes of symmetry. Define Oval as having 1 axis of symmetry. Thus a > oval, never an ellipse. QED > > The above two proofs are Synthetic Geometry proofs, which means they > need no numbers, just some concepts and axioms to make the proof work. > A Synthetic geometry proof is where you need no numbers, no coordinate > points, no arithmetic, but just using concepts and axioms. A Analytic > Geometry proof is where numbers are involved, if only just coordinate > points. > > Array:: Analytic Geometry proof that Cylinder section= Ellipse//Conic > section = Oval, never ellipse > > Now I did 3 Experiments and 3 models of the problem, but it turns out > that one model is superior over all the other models. One model is the > best of all. > > That model is where you construct a cone and a cylinder and then > implant a circle inside the cone and cylinder attached to a handle so > that you can rotate the circle inside. Mine uses a long nail that I > poked holes into the side of a cylinder and another one inside a cone > made from heavy wax paper of magazine covers. And I used a Mason or > Kerr used lid and I attached them to the nail by drilling two holes > into each lid and running a wire as fastener. All of this done so I > can rotate or pivot the circle inside the cylinder and cone. You need > a long nail, for if you make the models too small or too skinny, you > lose clarity. > > ARRAY, Analytic Geometry Proof, Cylinder Section is a Ellipse:: > > > E > __ > .-' `-. > .' `. > / \ > ; ; > | G c | H > ; ; > \ / > `. .' > `-. _____ .-' > F > > The above is a view of a ellipse with center c and is produced by the > Sectioning of a Cylinder as long as the cut is not perpendicular to > the base, and as long as the cut involves two points not larger than > the height of the cylinder walls. What we want to prove is that the > cut is always a ellipse, which is a plane figure of two axes of > symmetry with a Major Axis and Minor Axis and center at c. > > Side view of Cylinder EGFH above with entry point cut at E and exit > point cut at F and where c denotes the central axis of the cylinder > and where x denotes a circle at c parallel with the base-circle of > cylinder > > | | > | | E > | | > | | > |x c |x > | | > | | > | | > |F | > | | > | | > | | > > > So, what is the proof that figure EGFH is always an ellipse in the > cylinder section? The line segment GH is the diameter of the circle > base of cylinder and the cylinder axis cuts this diameter in half such > that Gc = cH. Now we only need to show that Fc = cE. This is done from > the right triangles cxF and cxE, for we note that by Angle-Side-Angle > these two right triangles are congruent and hence Fc = cE, our second > axis of symmetry and thus figure EGFH is always an ellipse. QED > > > > Array proof:: Analytic Geometry proof that Conic section= Oval// never ellipse > > ARRAY, Analytic Geometry Proof, Conic Section is a Oval, never an ellipse:: > > > A > ,'" "`. > / \ > C | c | D > \ / > ` . ___ .' > B > > The above is a view of a figure formed from the cut of a conic with > center c as the axis of the cone and is produced by the Sectioning of > a Cone as long as the cut is not perpendicular to the base, and as > long as the cut is not a hyperbola, parabola or circle (nor line). > What we want to prove is that this cut is always a oval, never an > ellipse. An oval is defined as a plane figure of just one axis of > symmetry and possessing a center, c, with a Major Diameter as the axis > of symmetry and a Minor Diameter. In our diagram above, the major > diameter is AB and minor diameter is CD. > > Alright, almost the same as with Cylinder section where we proved the > center was half way between Major Axis and Minor Axis of cylinder, > only in the case of the Conic, we find that the center is half way > between CD the Minor Diameter, but the center is not halfway in > between the Major Diameter, and all of that because of the reason the > slanted walls of the cone cause the distance cA to be far smaller than > the distance cB. In the diagram below we have the circle of x centered > at c and parallel to base. The angle at cx is not 90 degrees as in > cylinder. The angle of cAx is not the same as the angle cBx, as in the > case of the cylinder, because the walls of the cone-for line segments- > are slanted versus parallel in the cylinder. Triangles cAx and cBx are > not congruent, and thus, the distance of cA is not equal to cB, > leaving only one axis of symmetry AB, not CD. > > / \A > x/ c \x > B/ \ > > Hence, every cut in the Cone, not a hyperbola, not a parabola, not a > circle (not a line) is a Oval, never an ellipse. > > QED > > --Archimedes Plutonium > > Very crude dot picture of 5f6, 94TH > ELECTRON=muon DOT CLOUD of 231Pu > > > ::\ ::|:: /:: > ::\::|::/:: > _ _ > (:Y:) > - - > ::/::|::\:: > ::/ ::|:: \:: > One of those dots is the Milky Way galaxy. And each dot represents another galaxy. > . \ . . | . /. > . . \. . .|. . /. . > ..\....|.../... > ::\:::|::/:: > --------------- ------------- > --------------- (Y) ------------- > --------------- -------------- > ::/:::|::\:: > ../....|...\... > . . /. . .|. . \. . > . / . . | . \ . > > > http://www.iw.net/~a_plutonium/ whole entire Universe is just one big atom where dots of the electron-dot-cloud are galaxies > > I re-opened the old newsgroup PAU of 1990s and there one can read my recent posts without the hassle of spammers, off-topic-misfits, front-page-hogs, stalking mockers, suppression-bullies, and demonizers. > > Read my recent posts in peace and quiet. > > https://groups.google.com/forum/?hl=en#!forum/plutonium-atom-universe > Archimedes Plutonium
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