2019-02-03 07:31:32 -0500 | asked a question | How to plot a diagram of a circle obtained by section of a sphere by a plane A circle is a section of a sphere by a plane, the equation \begin{equation} x^2+y^2+z^2+2gx+2fy+2hz+d=0\tag{1} \end{equation} and \begin{equation} ax+by+cz=p\tag{2} \end{equation} together represent a circle. How do I plot like these diagram for given $g,f,h,a,b,c,p$. How to input by using @interact for the parameter $a,b,c,p$ to move the plane through the sphere ? |

2019-01-20 04:13:17 -0500 | received badge | ● Student (source) |

2019-01-10 13:29:31 -0500 | commented question | How to solve this system of equation in sage? Yes $k$ is fixed. |

2019-01-10 11:58:00 -0500 | received badge | ● Editor (source) |

2019-01-10 11:31:02 -0500 | asked a question | How to solve this system of equation in sage? How to solve this system of equations in sage? $x_1+l_1x_2+l_1^2x_3+\dots+l_1^{k-1}x_k=c_1+r $. $x_1+l_2x_2+l_2^2x_3+\dots+l_2^{k-1}x_k=c_2+r^2$ $\dots $ $x_1+l_kx_2+l_k^2x_3+\dots+l_k^{k-1}x_k=c_k+r^k$ where $l_i$'s are different positive integers and $c_i,r$ are integers in $[0,256]$ In particular, we can solve with sage. Here is the code : |

2018-02-10 00:45:04 -0500 | commented answer | Add little arrow tips at the end of the coordinate axes Error in lines 1-1 Traceback (most recent call last): File "/cocalc/lib/python2.7/site-packages/smc_sagews/sage_server.py", line 1013, in execute exec compile(block+'\n', '', 'single') in namespace, locals File "<string>", line 1 | Sage Version RealNumber('4.7').gen(2), Release Date: Integer(2011)-Integer(10)-Integer(29) | ^ SyntaxError: invalid syntax |

2018-02-10 00:45:04 -0500 | asked a question | How to draw geometrical figures with coordinate axes I would like to draw geometrical figures with coordinate axes. suppose I want to draw a sphere with three coordinate axes x,y,z. How can I do this? |

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