The reduced_conic command finds the reduced equation of a conic.
Example.
Input:
Output:
|
Which means that the conic is not degenerate, its reduced equation is
3x2+y2−7/6=0 |
its origin is −5/3+5*i/6, its axes are parallel to the vectors (−1,1) and (−1,−1), and its parametric equation is
| + |
| * |
|
where the suggested parameter values for drawing are t from 0 to 2π with tstep= 2π/60.
Remark:
Note that if the conic is degenerate and is made of
1 or 2 line(s), the lines are not given by their parametric equation
but by the list of two points of the line.
Example.
Input:
Output:
⎡ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎣ | ⎡ ⎢ ⎢ ⎣ | − |
| , |
| ⎤ ⎥ ⎥ ⎦ | , | ⎡ ⎢ ⎣ |
| ⎤ ⎥ ⎦ | ,0,x2−y2, | ⎡ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎣ |
| ⎤ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎦ | ⎤ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎦ |