Post by Dan ChristensenHere we see that the math failure and purveyor of fake math,
Dan
Christensen says babies- Janusz Adamus, Tatyana Barron,Justin Trudeau, Graham Denham, Ajneet Dhillon as if they are babies, without a mind to see ellipse is never a conic section, always a cylinder section (see proof below)
Christensen talks babies, of Justin Trudeau, Sebastien Proulx,Jordan Brown,David Eggen,Matthias Franz, John Jardine as if they are babies, without a mind to see ellipse is never a conic section, always a cylinder section. Or the AP geometry proof of Fundamental Theorem of Calculus (see all this below)
Dan Christensen who is a imp of Logic for here is an example of how that imp thinks:
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.
Yet Canada rewards such imps of logic as Dan be letting him have a webpage on logic-- screwing up the minds of all young people who visit that page-- go figure that out.
Dan is messed up in the mind, a Canadian crazy, and a shame that Canada instead of pulling the plug on insane posters, lets them build websites that steers children into his crazy world, totally out of math and logic for the insane Dan believes 2 OR 10 =12, and creeps like this should never have a website on logic or math. So insane is Dan that all he does in sci.math is stalk people. Dan just posts hatred... but what can one expect from someone who lost his mind...
Dan Christensen, 6 year insane stalker Canadian
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; ` ;'.. ..-'' ' ' I am Christensen, so dumb I think chemistry bonding can exist with proton 938MeV & electron at .5MeV just as dumb as my idea that 2 OR 10 = 12, when a 8 year old knows 2 AND 10= 12
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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. Endorsing the "perpetual stalking by Dan Christensen"
Sebastien Proulx
Jordan Brown
David Eggen
Gordon Wyant
Zach Churchill
Ian Wishart
Rob Fleming
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You mean the classroom is the world, not just my cubbyhole in Canada?
Proofs ellipse is never a conic, always a cylinder section by
Archimedes Plutonium
--------------------
AP's proof the ellipse is never a Conic Section, always a Cylinder section, and how the proof works
Let us analyze AP's Proof
On Friday, September 14, 2018 at 6:57:36 PM UTC-5, Archimedes Plutonium wrote:
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
Alright, focus on the distance from c to F in the cone-cut compared to the distance from c to E
In a Cylinder cut, those two distances are the same because a cylinder has two axes of symmetry.
The side view of a cylinder is this
| |
| |
| |
That allows cE to be the same distance as cF
But the side view of the cone is
/\E
/c \
F / \
The distance c to E is shorter because the slant of the side walls of the cone are in the direction of shortening cE, whereas the slant opposite c in cF make that distance larger than cE
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 we can see that the distance cE = cF in cylinder for the walls are Parallel to one another, giving distance symmetry
But in the Cone, the walls are not parallel, shortening the distance cE compared to cF. Leaving only one axis of symmetry that of cx. The oval is the conic section of a cut at a slant, while the cylinder cut at a slant is a ellipse. The Oval has just one axis of symmetry.
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