{"shas":[["6f0352ae609d71bff91988c54241d0098c1cb621","b274abc493535ae88cb3a0742f63e38c9241d67c@gmail.com","Geometry equations accept string or symbol\n\n    For display purposes, not supplying any symbols to the equation\n    or arbitrary_point methods returns x, y and t, respectively. But\n    these symbols are all created with the assumption real=True\n    which will make them different, in some tests, from variables\n    having the same name but different assumptions. To overcome this,\n    the user can supply their own symbols that will be used in the\n    equations.\n\n    A helper function, _symbol, was added to util for generation of\n    these symbols.\n\n    The Curve.arbitrary_point method is different than all others. Curve\n    was already defined parametrically upon instantiation. If you want the\n    same variable then use arbitrary_point('') otherwise the default is to\n    use a variable named 't' like all other arbitrary_point methods.\n\n    >>> Curve((x, 2*x), (x, 1, 2)).arbitrary_point('')\n    Point(x, 2*x)\n    >>> Curve((x, 2*x), (x, 1, 2)).arbitrary_point()\n    Point(t, 2*t)\n    >>> Curve((x, 2*x), (x, 1, 2)).arbitrary_point(s)\n    Point(s, 2*s)","Chris Smith"],["ed7e8cf59e5be1173d22a6f19649ad8a61014d97","b274abc493535ae88cb3a0742f63e38c9241d67c@gmail.com","unfail ellipse tangents and intersections","Chris Smith"]],"repo":"smichr/sympy","actor":"smichr","ref":"refs/heads/geometry2","size":2,"head":"ed7e8cf59e5be1173d22a6f19649ad8a61014d97","actor_gravatar":"61e106a28e171b4407171702b182759f","push_id":30769943}