Parametrization of right circular coneParametric Equations of an Oblique Circular ConeCurved surface area of a cone contacting a hemisphere of radius $r$ARML: Tangent congruent circles forming a right circular conePoint inside right circular coneCan this be considered a definition of a cone?Volume of frustum cut by an inclined plane at distance hProjecting a cone on a surfaceA problem of finding the length of a cube incribed in a coneStart of 3D Cone given base radius, height and centre of base position.How to make a cone with tip inside
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Parametrization of right circular cone
Parametric Equations of an Oblique Circular ConeCurved surface area of a cone contacting a hemisphere of radius $r$ARML: Tangent congruent circles forming a right circular conePoint inside right circular coneCan this be considered a definition of a cone?Volume of frustum cut by an inclined plane at distance hProjecting a cone on a surfaceA problem of finding the length of a cube incribed in a coneStart of 3D Cone given base radius, height and centre of base position.How to make a cone with tip inside
$begingroup$
community!
Write the parametric equations of a right circular cone of height $h$
and semi-aperture $α$, lying on the plane $z = 0$, contained in the first
octant, so that the segment between its vertex and the centre of its
base projects orthogonally on $z = 0$ in the line $x = y$, $z = 0$.
I am really stuck in this exercise of Computational Geometry. I have no idea how to start.
Anyone could give me hints in how to begin? Thank you very much.
geometry parametric
asked Mar 10 at 19:39
Mandelbrot Jr.Mandelbrot Jr.
175
$endgroup$
add a comment |
$begingroup$
community!
Write the parametric equations of a right circular cone of height $h$
and semi-aperture $α$, lying on the plane $z = 0$, contained in the first
octant, so that the segment between its vertex and the centre of its
base projects orthogonally on $z = 0$ in the line $x = y$, $z = 0$.
I am really stuck in this exercise of Computational Geometry. I have no idea how to start.
Anyone could give me hints in how to begin? Thank you very much.
geometry parametric
asked Mar 10 at 19:39
Mandelbrot Jr.Mandelbrot Jr.
175
$endgroup$
add a comment |
$begingroup$
community!
Write the parametric equations of a right circular cone of height $h$
and semi-aperture $α$, lying on the plane $z = 0$, contained in the first
octant, so that the segment between its vertex and the centre of its
base projects orthogonally on $z = 0$ in the line $x = y$, $z = 0$.
I am really stuck in this exercise of Computational Geometry. I have no idea how to start.
Anyone could give me hints in how to begin? Thank you very much.
geometry parametric
asked Mar 10 at 19:39
Mandelbrot Jr.Mandelbrot Jr.
175
$endgroup$
community!
Write the parametric equations of a right circular cone of height $h$
and semi-aperture $α$, lying on the plane $z = 0$, contained in the first
octant, so that the segment between its vertex and the centre of its
base projects orthogonally on $z = 0$ in the line $x = y$, $z = 0$.
I am really stuck in this exercise of Computational Geometry. I have no idea how to start.
Anyone could give me hints in how to begin? Thank you very much.
geometry parametric
geometry parametric
asked Mar 10 at 19:39
Mandelbrot Jr.Mandelbrot Jr.
175
asked Mar 10 at 19:39
Mandelbrot Jr.Mandelbrot Jr.
175
asked Mar 10 at 19:39
Mandelbrot Jr.Mandelbrot Jr.
175
asked Mar 10 at 19:39
Mandelbrot Jr.Mandelbrot Jr.
175
asked Mar 10 at 19:39
Mandelbrot Jr.Mandelbrot Jr.
175
175
add a comment |
add a comment |
1 Answer
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I made a sketch with GeoGebra to show you how the cone looks: hope it helps.
You could start writing the parametric equations for a cone whose axis is the z-axis. Then rotate the cone twice: first about y-axis by $(pi/2-alpha)$, then about z-axis by $pi/4$.
answered Mar 10 at 20:29
AretinoAretino
25.1k21445
$endgroup$
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1 Answer
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1 Answer
1
active
oldest
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active
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active
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votes
$begingroup$
I made a sketch with GeoGebra to show you how the cone looks: hope it helps.
You could start writing the parametric equations for a cone whose axis is the z-axis. Then rotate the cone twice: first about y-axis by $(pi/2-alpha)$, then about z-axis by $pi/4$.
answered Mar 10 at 20:29
AretinoAretino
25.1k21445
$endgroup$
add a comment |
$begingroup$
I made a sketch with GeoGebra to show you how the cone looks: hope it helps.
You could start writing the parametric equations for a cone whose axis is the z-axis. Then rotate the cone twice: first about y-axis by $(pi/2-alpha)$, then about z-axis by $pi/4$.
answered Mar 10 at 20:29
AretinoAretino
25.1k21445
$endgroup$
add a comment |
$begingroup$
I made a sketch with GeoGebra to show you how the cone looks: hope it helps.
You could start writing the parametric equations for a cone whose axis is the z-axis. Then rotate the cone twice: first about y-axis by $(pi/2-alpha)$, then about z-axis by $pi/4$.
answered Mar 10 at 20:29
AretinoAretino
25.1k21445
$endgroup$
I made a sketch with GeoGebra to show you how the cone looks: hope it helps.
You could start writing the parametric equations for a cone whose axis is the z-axis. Then rotate the cone twice: first about y-axis by $(pi/2-alpha)$, then about z-axis by $pi/4$.
answered Mar 10 at 20:29
AretinoAretino
25.1k21445
edited Mar 10 at 20:50
answered Mar 10 at 20:29
AretinoAretino
25.1k21445
answered Mar 10 at 20:29
AretinoAretino
25.1k21445
answered Mar 10 at 20:29
AretinoAretino
25.1k21445
25.1k21445
add a comment |
add a comment |
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