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Oblique Cone
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Hi
How can construct a oblique cone?
Thank´s
Jorge Geraldes
 GeoGebra
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Hi,
with surface :
Surface[x(C) u + (1  u) x(A) + r (1  u) cos(v), y(C) u + (1  u) y(A) + r (1  u) sin(v), z(C) u + (1  u) z(A), u, 0, 1, v, 0, 2 pi]
See list of circles :
x(C) u + (1  u) x(A) = x(center)
y(C) u + (1  u) y(A) = y(center)
z(C) u + (1  u) z(A) = z(center)
r (1  u) = radius
cos(v) and sin(v) make circle.
https://ggbm.at/1389075
hello
i hoped c(2) is a point. is it possible?
c(t)=circle[A,B,C]
saludos
hello again
a question about the notation: what notation will progress?
create a circle A,B in planeXY
then up and down B
the notation change
saludos
Hi,
The reason for this is:
* there is no cartesian equation for conics in 3D, so we provide parametric equation
* on our todo list: possibly switch from paramatric to cartesian (when possible) as it's possible for points
Cheers,
Mathieu
what about this?
saludos
Does Point[c,2] work?
hello
sorry,no
when i saw c(t)=( , , ) I had an illusion during some seconds: c(t):ℝ>ℝ³, then I could define d(t,u):ℝ²>ℝ³
naturally i have tried
Surface[(1  u) x(D) + u x(Point[c, t]), (1  u) y(D) + u y(Point[c, t]), (1  u) z(D) + u z(Point[c, t]), u, 0, 1, t, 0, 6.28319]
and naturally it does not work.
saludos
Hello mathmagic,
because surface command doesn't accept commands GGB, just the math functions...
It's possible but not easy...
Surface[x(S) u + (1  u) x(D) + r (1  u) (cos(a) cos(v)  sin(a) cos(b) sin(v)), y(S) u + (1  u) y(D) + r (1  u) (sin(a) cos(v) + cos(a) cos(b) sin(v)), z(S) u + (1  u) z(D) + r (1  u) sin(b) sin(v), u, 0, 1, v, 0, 2pi]
(I have a problem with angles 3D a or b...<180°...normal!)
...
https://ggbm.at/1389097
hello
I know how to do curves; my question is : if GG can do (4.38998, 1.55355, 0) + (0.77505 cos(t)  1.78087 sin(t), 5.64937 cos(t)  0.24432 sin(t), 3.02355 sin(t)) dynamically from A,B,C why I can not use the expression for next calculations?
saludos
PD: more (4.42415, 1.02285, 1.5537) + (± 0.32628 cosh(t)  2.35512 sinh(t), ± 0.64844 cosh(t) + 1.37528 sinh(t), ± 0.18058 cosh(t)  0.68313 sinh(t))
see ±
the bold expression was copied and pasted from GG
Hi,
with mathmagic way...
saludos
https://ggbm.at/1389103
hello
great work with texts. I hope GG does this easier like in
https://ggbm.at/1389105
thanks
saludos
Hi
You can download an oblique cone in ggb here
http://dmentrard.blogspot.f...
Jean
Hi
For polyhedra have the tool and command for construct a net, but how can construct
1. a net of cone?
2. a net of cylinder?
Thank´s
Hi,
http://tube.geogebra.org/ma...
http://tube.geogebra.org/ma...
another examples on GGT...
Thank you very much.
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