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| Jon... |
 Posted: Fri Nov 06, 2009 8:12 pm |
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Guest
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I have worked out the general case for the intersection of any plane with
any cone.
This has already been discovered, but it is not proprietary information. It
is the foundation for parabolas, ellipses, hyperbolas, hyperbolics, or
anything having to do with sections of a cone.
Don't be perplexed by the long equations. It is only algebra.
http://mypeoplepc.com/members/jon8338/math/id51.html
Jon Giffen |
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| HardySpicer... |
| Posted: Fri Nov 06, 2009 8:12 pm |
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Guest
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On Nov 6, 5:12 pm, "Jon" <jon8... at (no spam) peoplepc.com> wrote:
[quote]I have worked out the general case for the intersection of any plane with
any cone.
This has already been discovered, but it is not proprietary information. It
is the foundation for parabolas, ellipses, hyperbolas, hyperbolics, or
anything having to do with sections of a cone.
Don't be perplexed by the long equations. It is only algebra.
http://mypeoplepc.com/members/jon8338/math/id51.html
Jon Giffen
[/quote]
and I see you also discovered the two-way switch! |
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| JEMebius... |
| Posted: Sat Nov 07, 2009 2:50 pm |
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Jon wrote:
[quote]I have worked out the general case for the intersection of any plane with
any cone.
This has already been discovered, but it is not proprietary information. It
is the foundation for parabolas, ellipses, hyperbolas, hyperbolics, or
anything having to do with sections of a cone.
Don't be perplexed by the long equations. It is only algebra.
http://mypeoplepc.com/members/jon8338/math/id51.html
Jon Giffen
[/quote]
Suggestion for your next post:
INTERSECTION OF A PLANE WITH A CONE, SPECIAL
You will treat there the pair of intersecting straight lines - yes: that is a conic
section too! This observation may involve proprietary information.
Looking forward: Johan E. Mebius |
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| PD... |
| Posted: Thu Nov 12, 2009 5:52 am |
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On Nov 6, 7:12 pm, "Jon" <jon8... at (no spam) peoplepc.com> wrote:
[quote]I have worked out the general case for the intersection of any plane with
any cone.
This has already been discovered, but it is not proprietary information. It
is the foundation for parabolas, ellipses, hyperbolas, hyperbolics, or
anything having to do with sections of a cone.
Don't be perplexed by the long equations. It is only algebra.
http://mypeoplepc.com/members/jon8338/math/id51.html
Jon Giffen
[/quote]
Congratulations for repeating work already done. |
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| Skybuck Flying... |
| Posted: Thu Nov 12, 2009 10:31 am |
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Guest
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"Jon" <jon8338 at (no spam) peoplepc.com> wrote in message
news:EdKdndQRmvceVGnXnZ2dnUVZ_uidnZ2d at (no spam) earthlink.com...
[quote]I have worked out the general case for the intersection of any plane with
any cone.
This has already been discovered, but it is not proprietary information.
It is the foundation for parabolas, ellipses, hyperbolas, hyperbolics, or
anything having to do with sections of a cone.
Don't be perplexed by the long equations. It is only algebra.
http://mypeoplepc.com/members/jon8338/math/id51.html
Jon Giffen
[/quote]
Thanks might come in handy some day...
(Or maybe just to do some "insane ammount of calculations test"... maybe to
determine speed or accuracy of equipment  )
Anyway... why go through all the trouble of making it impossible to "save
the page" to file ?
(IE8 complains can't save page to file).
For me this is easily solved by copieing and pasting the text inside
frontpage :)
Just requires a little bit more of time ;)
(Maybe it's just a bug in your page ? )
Anyway it seems you are on windows using outlook express to post this
message...
The webpage's source code header is:
<HEAD>
<META content="text/html; charset=iso-8859-1"
http-equiv="Content-Type">
<META content="0" http-equiv="Expires">
<META content="1.0" name="TRELLIX_BUILDER_VER"><META
name="TRELLIX_OPEN_SITE_COMMAND"
content="http://twe.peoplepc.com:8080/servlet/SiteBuilderServlet?fUrl=/trellix/sitebuilder/f_error.html&sUrl=/trellix/sitebuilder/f_edit_page.html&Command=OpenSite&FileName=2164488876280563899/site.xml"></META><base
href="http://mypeoplepc.com/members/jon8338/math/index.html"><script
language="Javascript">
document.isTrellix = 1;
</script>
<title>Intersection of a Plane with a Cone, General</title>
</HEAD>
Apperently the webpage was made with a-to-me-unknown-tool called: "TRELLIX
BUILDER".
Maybe it adds some nasty bugs... or maybe it's just a buggy product =D
Hmm further investigation reveals... it's a website builder/webhosting
thingy:
http://www.trellix.com/
Anyway it seems like that.. good luck with it ! :)
(alt.sci.math removed, not available?)
(alt.math.recreationa, to bring it down to 5)
Bye,
Skybuck. |
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| mike... |
| Posted: Sun Nov 15, 2009 5:59 pm |
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In article <5df09ccc-23b4-4da4-9d3e-b0f129823513
at (no spam) p35g2000yqh.googlegroups.com>, thedraperfamily at (no spam) gmail.com says...
[quote]On Nov 6, 7:12 pm, "Jon" <jon8... at (no spam) peoplepc.com> wrote:
I have worked out the general case for the intersection of any plane with
any cone.
This has already been discovered, but it is not proprietary information.. It
is the foundation for parabolas, ellipses, hyperbolas, hyperbolics, or
anything having to do with sections of a cone.
Don't be perplexed by the long equations. It is only algebra.
http://mypeoplepc.com/members/jon8338/math/id51.html
Jon Giffen
Congratulations for repeating work already done.
Maybe he should look at the much more interesting problem of the[/quote]
intersection of a parabola of rotation with a plane.
Mike |
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| JEMebius... |
| Posted: Sun Nov 15, 2009 6:52 pm |
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Guest
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mike wrote:
[quote]In article <5df09ccc-23b4-4da4-9d3e-b0f129823513
at (no spam) p35g2000yqh.googlegroups.com>, thedraperfamily at (no spam) gmail.com says...
On Nov 6, 7:12 pm, "Jon" <jon8... at (no spam) peoplepc.com> wrote:
I have worked out the general case for the intersection of any plane with
any cone.
This has already been discovered, but it is not proprietary information. It
is the foundation for parabolas, ellipses, hyperbolas, hyperbolics, or
anything having to do with sections of a cone.
Don't be perplexed by the long equations. It is only algebra.
http://mypeoplepc.com/members/jon8338/math/id51.html
Jon Giffen
Congratulations for repeating work already done.
Maybe he should look at the much more interesting problem of the
intersection of a parabola of rotation with a plane.
Mike
[/quote]
A nice curiosity:
Consider intersections of a paraboloid of revolution with planes that are not parallel to
its axis AoR of revolution.
The parallel projection of any such intersection along AoR onto the tangent plane at the
vertex of the paraboloid is a circle. In this way each circle in that plane is the
projection of an intersection of the paraboloid with a plane.
The proof by analytic geometry is a piece of cake; the proof by Euclidean solid geometry
is not too easy and IMO much more delightful.
Johan E. Mebius |
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| Boris Mohar... |
| Posted: Mon Nov 16, 2009 7:51 am |
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On Fri, 6 Nov 2009 20:12:21 -0500, "Jon" <jon8338 at (no spam) peoplepc.com> wrote:
[quote]I have worked out the general case for the intersection of any plane with
any cone.
This has already been discovered, but it is not proprietary information. It
is the foundation for parabolas, ellipses, hyperbolas, hyperbolics, or
anything having to do with sections of a cone.
Don't be perplexed by the long equations. It is only algebra.
http://mypeoplepc.com/members/jon8338/math/id51.html
Jon Giffen
[/quote]
Holly Crap! Where is the user interface?
--
Boris |
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