-
Superficies cudricas
Dibujamos un cilindro parablico
In[19]:= ParametricPlot3DA9t + r, t2 + 2 r, 3 r=, 8t, -2, 2
-
In[21]:= eje =
8Line@880, 0, 0
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Dibujamos un cono elptico con vrtice en el origen
In[23]:= ParametricPlot3D@8t Cos@rD, 3 t Sin@rD, 4 t
-
In[26]:= Graphics3D@8Line@extremosD, Blue, eje
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El hiperboloide se puede considerar generado por la hiprbola
x2-z2 = 1 al girar alrededor del eje Z.
In[28]:= ParametricPlot3DB
::r Cos@tD, r Sin@tD, r - 1 >, :r Cos@tD, r Sin@tD, - r - 1
>>, 8t, 0, 2 Pi, :t, 0, 2 Pi,Pi
12>F
Out[30]=
superficies cuadricas Cil Con Rev.nb 5
-
Out[30]= :::r, 0, -1 + r >, :r, 0, - -1 + r >>,
::J1 + 3 N r
2 2,
J-1 + 3 N r
2 2, -1 + r >, :
J1 + 3 N r
2 2,
J-1 + 3 N r
2 2, - -1 + r >>,
::3 r
2,r
2, -1 + r >, :
3 r
2,r
2, - -1 + r >>,
::r
2,
r
2, -1 + r >, :
r
2,
r
2, - -1 + r >>,
::r
2,
3 r
2, -1 + r >, :
r
2,
3 r
2, - -1 + r >>,
::J-1 + 3 N r
2 2,
J1 + 3 N r
2 2, -1 + r >, :
J-1 + 3 N r
2 2,
J1 + 3 N r
2 2, - -1 + r >>,
::0, r, -1 + r >, :0, r, - -1 + r >>,
::-J-1 + 3 N r
2 2,
J1 + 3 N r
2 2, -1 + r >, :-
J-1 + 3 N r
2 2,
J1 + 3 N r
2 2, - -1 + r >>,
::-r
2,
3 r
2, -1 + r >, :-
r
2,
3 r
2, - -1 + r >>,
::-r
2,
r
2, -1 + r >, :-
r
2,
r
2, - -1 + r >>,
::-3 r
2,r
2, -1 + r >, :-
3 r
2,r
2, - -1 + r >>,
::-J1 + 3 N r
2 2,
J-1 + 3 N r
2 2, -1 + r >, :-
J1 + 3 N r
2 2,
J-1 + 3 N r
2 2, - -1 + r >>,
::-r, 0, -1 + r >, :-r, 0, - -1 + r >>,
::-J1 + 3 N r
2 2, -
J-1 + 3 N r
2 2, -1 + r >, :-
J1 + 3 N r
2 2, -
J-1 + 3 N r
2 2, - -1 + r >>,
::-3 r
2, -
r
2, -1 + r >, :-
3 r
2, -
r
2, - -1 + r >>,
::-r
2, -
r
2, -1 + r >, :-
r
2, -
r
2, - -1 + r >>,
::-r
2, -
3 r
2, -1 + r >, :-
r
2, -
3 r
2, - -1 + r >>,
,
6 superficies cuadricas Cil Con Rev.nb
-
Out[30]=
::-J-1 + 3 N r
2 2, -
J1 + 3 N r
2 2, -1 + r >, :-
J-1 + 3 N r
2 2, -
J1 + 3 N r
2 2, - -1 + r >>,
::0, -r, -1 + r >, :0, -r, - -1 + r >>,
::J-1 + 3 N r
2 2, -
J1 + 3 N r
2 2, -1 + r >, :
J-1 + 3 N r
2 2, -
J1 + 3 N r
2 2, - -1 + r >>,
::r
2, -
3 r
2, -1 + r >, :
r
2, -
3 r
2, - -1 + r >>,
::r
2, -
r
2, -1 + r >, :
r
2, -
r
2, - -1 + r >>,
::3 r
2, -
r
2, -1 + r >, :
3 r
2, -
r
2, - -1 + r >>,
::J1 + 3 N r
2 2, -
J-1 + 3 N r
2 2, -1 + r >, :
J1 + 3 N r
2 2, -
J-1 + 3 N r
2 2, - -1 + r >>,
::r, 0, -1 + r >, :r, 0, - -1 + r >>>
In[31]:= ParametricPlot3D@generatrices, 8r, 1, 3
