Tool/algorithmic library for determining equation of quadric surface through 9 given points The 2019 Stack Overflow Developer Survey Results Are Intorus intersectionNumber of points determining a QuadricArea Of Polygon Whose Edges Are In Given Distance From A Given Polygon EdgesEquation of circle through three given points.What's the importance of conics and quadrics in the context of a course of pure mathematics?Fourier transform of function defining half an ellipseTangents to Parabola through given pointsHow can I find the center point and radius of an arc segment from quadratic equation generated by a curve fitting softwareCoordinates of tangent points from a point outside a spheroid (ellispoid of revolution)Check for Point Collinearity and rearrange line
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Tool/algorithmic library for determining equation of quadric surface through 9 given points
The 2019 Stack Overflow Developer Survey Results Are Intorus intersectionNumber of points determining a QuadricArea Of Polygon Whose Edges Are In Given Distance From A Given Polygon EdgesEquation of circle through three given points.What's the importance of conics and quadrics in the context of a course of pure mathematics?Fourier transform of function defining half an ellipseTangents to Parabola through given pointsHow can I find the center point and radius of an arc segment from quadratic equation generated by a curve fitting softwareCoordinates of tangent points from a point outside a spheroid (ellispoid of revolution)Check for Point Collinearity and rearrange line
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Is there any software that can calculate(and eventually plot) the quadric surface generated by 9 given points in 3D space? I know I can calculate that by defining 9 equations in Mathematica and solving them using $Solve$, but that is quite a process(inputting the coordinates by hand) and the solution is not always that accurate(from my experience, when plotting in Geogebra the quadric found by Mathematica, the surface usually does not pass through the input points.) Thanks!
geometry quadratics conic-sections
asked Apr 7 at 14:00
Davidmath7Davidmath7
2255
$endgroup$
add a comment |
$begingroup$
Is there any software that can calculate(and eventually plot) the quadric surface generated by 9 given points in 3D space? I know I can calculate that by defining 9 equations in Mathematica and solving them using $Solve$, but that is quite a process(inputting the coordinates by hand) and the solution is not always that accurate(from my experience, when plotting in Geogebra the quadric found by Mathematica, the surface usually does not pass through the input points.) Thanks!
geometry quadratics conic-sections
asked Apr 7 at 14:00
Davidmath7Davidmath7
2255
$endgroup$
1
$begingroup$
Could you give an example of such inaccuracies? It's odd that you found GeoGebra more accurate than Mathematica.
$endgroup$
– Aretino
Apr 7 at 14:25
$begingroup$
How do you want to enter the coordinates, if not by hand? If they are in some text file, it should be possible to read that using Mathematica.
$endgroup$
– Robert Israel
Apr 7 at 14:43
add a comment |
$begingroup$
Is there any software that can calculate(and eventually plot) the quadric surface generated by 9 given points in 3D space? I know I can calculate that by defining 9 equations in Mathematica and solving them using $Solve$, but that is quite a process(inputting the coordinates by hand) and the solution is not always that accurate(from my experience, when plotting in Geogebra the quadric found by Mathematica, the surface usually does not pass through the input points.) Thanks!
geometry quadratics conic-sections
asked Apr 7 at 14:00
Davidmath7Davidmath7
2255
$endgroup$
Is there any software that can calculate(and eventually plot) the quadric surface generated by 9 given points in 3D space? I know I can calculate that by defining 9 equations in Mathematica and solving them using $Solve$, but that is quite a process(inputting the coordinates by hand) and the solution is not always that accurate(from my experience, when plotting in Geogebra the quadric found by Mathematica, the surface usually does not pass through the input points.) Thanks!
geometry quadratics conic-sections
geometry quadratics conic-sections
asked Apr 7 at 14:00
Davidmath7Davidmath7
2255
asked Apr 7 at 14:00
Davidmath7Davidmath7
2255
asked Apr 7 at 14:00
Davidmath7Davidmath7
2255
asked Apr 7 at 14:00
Davidmath7Davidmath7
2255
asked Apr 7 at 14:00
Davidmath7Davidmath7
2255
2255
1
$begingroup$
Could you give an example of such inaccuracies? It's odd that you found GeoGebra more accurate than Mathematica.
$endgroup$
– Aretino
Apr 7 at 14:25
$begingroup$
How do you want to enter the coordinates, if not by hand? If they are in some text file, it should be possible to read that using Mathematica.
$endgroup$
– Robert Israel
Apr 7 at 14:43
add a comment |
1
$begingroup$
Could you give an example of such inaccuracies? It's odd that you found GeoGebra more accurate than Mathematica.
$endgroup$
– Aretino
Apr 7 at 14:25
$begingroup$
How do you want to enter the coordinates, if not by hand? If they are in some text file, it should be possible to read that using Mathematica.
$endgroup$
– Robert Israel
Apr 7 at 14:43
1
1
$begingroup$
Could you give an example of such inaccuracies? It's odd that you found GeoGebra more accurate than Mathematica.
$endgroup$
– Aretino
Apr 7 at 14:25
$begingroup$
Could you give an example of such inaccuracies? It's odd that you found GeoGebra more accurate than Mathematica.
$endgroup$
– Aretino
Apr 7 at 14:25
$begingroup$
How do you want to enter the coordinates, if not by hand? If they are in some text file, it should be possible to read that using Mathematica.
$endgroup$
– Robert Israel
Apr 7 at 14:43
$begingroup$
How do you want to enter the coordinates, if not by hand? If they are in some text file, it should be possible to read that using Mathematica.
$endgroup$
– Robert Israel
Apr 7 at 14:43
add a comment |
1 Answer
1
active
oldest
votes
$begingroup$
If your goal is that of having a dynamic-geometry tool, graphing a quadric surface in real time while you drag the points around, then you can achieve that with GeoGebra.
GeoGebra has a simple CAS embedded, quite cumbersome but apt to the purpose. I used it to substitute into the general equation of a quadric the coordinates of the nine points, solve the resulting system of equations and again substitute the solution into the equation. I thus obtained the equation of the quadric, which is automatically displayed by GeoGebra.
I uploaded this GeoGebra file to GeoGebraTube, for you to experiment, download and possibly improve it.
answered Apr 7 at 22:09
AretinoAretino
25.8k31545
$endgroup$
add a comment |
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$begingroup$
If your goal is that of having a dynamic-geometry tool, graphing a quadric surface in real time while you drag the points around, then you can achieve that with GeoGebra.
GeoGebra has a simple CAS embedded, quite cumbersome but apt to the purpose. I used it to substitute into the general equation of a quadric the coordinates of the nine points, solve the resulting system of equations and again substitute the solution into the equation. I thus obtained the equation of the quadric, which is automatically displayed by GeoGebra.
I uploaded this GeoGebra file to GeoGebraTube, for you to experiment, download and possibly improve it.
answered Apr 7 at 22:09
AretinoAretino
25.8k31545
$endgroup$
add a comment |
$begingroup$
If your goal is that of having a dynamic-geometry tool, graphing a quadric surface in real time while you drag the points around, then you can achieve that with GeoGebra.
GeoGebra has a simple CAS embedded, quite cumbersome but apt to the purpose. I used it to substitute into the general equation of a quadric the coordinates of the nine points, solve the resulting system of equations and again substitute the solution into the equation. I thus obtained the equation of the quadric, which is automatically displayed by GeoGebra.
I uploaded this GeoGebra file to GeoGebraTube, for you to experiment, download and possibly improve it.
answered Apr 7 at 22:09
AretinoAretino
25.8k31545
$endgroup$
add a comment |
$begingroup$
If your goal is that of having a dynamic-geometry tool, graphing a quadric surface in real time while you drag the points around, then you can achieve that with GeoGebra.
GeoGebra has a simple CAS embedded, quite cumbersome but apt to the purpose. I used it to substitute into the general equation of a quadric the coordinates of the nine points, solve the resulting system of equations and again substitute the solution into the equation. I thus obtained the equation of the quadric, which is automatically displayed by GeoGebra.
I uploaded this GeoGebra file to GeoGebraTube, for you to experiment, download and possibly improve it.
answered Apr 7 at 22:09
AretinoAretino
25.8k31545
$endgroup$
If your goal is that of having a dynamic-geometry tool, graphing a quadric surface in real time while you drag the points around, then you can achieve that with GeoGebra.
GeoGebra has a simple CAS embedded, quite cumbersome but apt to the purpose. I used it to substitute into the general equation of a quadric the coordinates of the nine points, solve the resulting system of equations and again substitute the solution into the equation. I thus obtained the equation of the quadric, which is automatically displayed by GeoGebra.
I uploaded this GeoGebra file to GeoGebraTube, for you to experiment, download and possibly improve it.
answered Apr 7 at 22:09
AretinoAretino
25.8k31545
answered Apr 7 at 22:09
AretinoAretino
25.8k31545
answered Apr 7 at 22:09
AretinoAretino
25.8k31545
answered Apr 7 at 22:09
AretinoAretino
25.8k31545
25.8k31545
add a comment |
add a comment |
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$begingroup$
Could you give an example of such inaccuracies? It's odd that you found GeoGebra more accurate than Mathematica.
$endgroup$
– Aretino
Apr 7 at 14:25
$begingroup$
How do you want to enter the coordinates, if not by hand? If they are in some text file, it should be possible to read that using Mathematica.
$endgroup$
– Robert Israel
Apr 7 at 14:43