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[SPAM] Re: [obm-l] Cônicas

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Gostei, Filipe,

Uma abra=E7o,

S=E9rgio



Em 24/11/07, Filipe C. Hasche <filipe_carvalho@xxxxxxxxxxx> escreveu:
>
> Essa =E9 linda!
>
> Tem uma saca=E7=E3o genial... inserir esferas em contato com o plano sect=
or e
> o cone.
>
> e demosntrar (com grande facilidade) que os pontos de contato das esferas
> s=E3o os focos da curva (c=F4nica) em quest=E3o.
>
> =E9 um problema muito simples de matar quando trabalhamos na geo. espacia=
l.
> em geo plana ele fica bem dif=EDcil.
>
> bem... a=ED vai o link do livro do Dandelin (q ainda t=E1 sendo editorado=
 em
> portugues) q tem essa demosntra=E7=E3o.
>
> [ http://www.sendspace.com/file/tvy4ua ]
>
> as figuras ainda s=E3o do livro original. Logo, logo deve pintar uma vers=
=E3o
> aperfei=E7oada.
>
> Cr=E9ditos ao Prof. Luiz Carlos Guimar=E3es, da UFRJ.
>
> Quaisquer erros no livro, favor comunicar!
>
> Abra=E7os,
> FH.
>
> =3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D
>
>
>
> > From: sms.sergio@xxxxxxxxx
> > To: obm-l@xxxxxxxxxxxxxx
> > Subject: [obm-l] C=F4nicas
> > Date: Sat, 24 Nov 2007 16:36:48 -0200
> >
> > Colegas,
> >
> > Como se demonstra que interse=E7=E3o de um plano com um cone =E9 uma el=
ipse,
> > par=E1bola ou hip=E9rbole? Tenho visto nos livros apenas a declara=E7=
=E3o disto
> mas
> > n=E3o o caminho.
> >
> > Um abra=E7o,
> >
> > S=E9rgio
> >
> >
> =3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D
> > Instru=E7=F5es para entrar na lista, sair da lista e usar a lista em
> > http://www.mat.puc-rio.br/~obmlistas/obm-l.html
> >
> =3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D
>
>
> ------------------------------
> Veja mapas e encontre as melhores rotas para fugir do tr=E2nsito com o Li=
ve
> Search Maps! Experimente j=E1!<http://www.livemaps.com.br/index.aspx?tr=
=3Dtrue>
>

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<div>Gostei, Filipe,</div>
<div>&nbsp;</div>
<div>Uma abra=E7o, </div>
<div>&nbsp;</div>
<div>S=E9rgio</div>
<div><br><br>&nbsp;</div>
<div><span class=3D"gmail_quote">Em 24/11/07, <b class=3D"gmail_sendername"=
>Filipe C. Hasche</b> &lt;<a href=3D"mailto:filipe_carvalho@xxxxxxxxxxx";>fi=
lipe_carvalho@xxxxxxxxxxx</a>&gt; escreveu:</span>
<blockquote class=3D"gmail_quote" style=3D"PADDING-LEFT: 1ex; MARGIN: 0px 0=
px 0px 0.8ex; BORDER-LEFT: #ccc 1px solid">
<div>Essa =E9 linda!<br>&nbsp;<br>Tem uma saca=E7=E3o genial... inserir esf=
eras em contato com o plano sector e o cone.<br>&nbsp;<br>e demosntrar (com=
 grande facilidade) que os pontos de contato das esferas s=E3o os focos da&=
nbsp;curva (c=F4nica)&nbsp;em quest=E3o.
<br>&nbsp;<br>=E9 um problema muito simples de matar quando trabalhamos na =
geo. espacial.<br>em geo plana ele fica bem dif=EDcil.<br>&nbsp;<br>bem... =
a=ED vai o link do livro do Dandelin (q ainda&nbsp;t=E1 sendo editorado em =
portugues) q tem essa demosntra=E7=E3o.
<br>&nbsp;<br>[&nbsp;<a onclick=3D"return top.js.OpenExtLink(window,event,t=
his)" href=3D"http://www.sendspace.com/file/tvy4ua"; target=3D"_blank">http:=
//www.sendspace.com/file/tvy4ua</a> ]<br>&nbsp;<br>as figuras ainda s=E3o d=
o livro original. Logo, logo deve pintar uma vers=E3o aperfei=E7oada.
<br>&nbsp;<br>Cr=E9ditos ao Prof. Luiz Carlos Guimar=E3es, da UFRJ.<br>&nbs=
p;<br>Quaisquer erros no livro, favor comunicar!<br>&nbsp;<br>Abra=E7os,<br=
>FH.<br>&nbsp;<br>=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D<br=
>&nbsp;<br><br><br>&gt; From: <a onclick=3D"return top.js.OpenExtLink(windo=
w,event,this)" href=3D"mailto:sms.sergio@xxxxxxxxx"; target=3D"_blank">
sms.sergio@xxxxxxxxx</a><br>&gt; To: <a onclick=3D"return top.js.OpenExtLin=
k(window,event,this)" href=3D"mailto:obm-l@xxxxxxxxxxxxxx"; target=3D"_blank=
">obm-l@xxxxxxxxxxxxxx</a><br>&gt; Subject: [obm-l] C=F4nicas<br>&gt; Date:=
 Sat, 24 Nov 2007 16:36:48 -0200=20
<div><span class=3D"e" id=3D"q_116733c8a6331476_1"><br>&gt; <br>&gt; Colega=
s,<br>&gt; <br>&gt; Como se demonstra que interse=E7=E3o de um plano com um=
 cone =E9 uma elipse,<br>&gt; par=E1bola ou hip=E9rbole? Tenho visto nos li=
vros apenas a declara=E7=E3o disto mas
<br>&gt; n=E3o o caminho.<br>&gt; <br>&gt; Um abra=E7o,<br>&gt; <br>&gt; S=
=E9rgio<br>&gt; <br></span></div>&gt; =3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D<br>&gt; Instru=E7=F5es para entrar na lis=
ta, sair da lista e usar a lista em
<br>&gt; <a onclick=3D"return top.js.OpenExtLink(window,event,this)" href=
=3D"http://www.mat.puc-rio.br/~obmlistas/obm-l.html"; target=3D"_blank">http=
://www.mat.puc-rio.br/~obmlistas/obm-l.html</a><br>&gt; =3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D
<br><br><br>
<hr>
Veja mapas e encontre as melhores rotas para fugir do tr=E2nsito com o Live=
 Search Maps! <a onclick=3D"return top.js.OpenExtLink(window,event,this)" h=
ref=3D"http://www.livemaps.com.br/index.aspx?tr=3Dtrue"; target=3D"_blank">E=
xperimente j=E1!
</a></div></blockquote></div><br>

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