This can't always be done in general, and even if it can it's usually  
really ugly. For example, sin(sin(y) + y) = x^5 - x + 1.

There are other algorithms to do this kind of implicit plotting.

On Apr 23, 2007, at 11:25 AM, Timothy Clemans wrote:

>
> Do we just create a function based on the equation in question or in
> the case of the equation of circles two functions and just plot the
> function(s)?
>
> On 4/23/07, Bobby Moretti <[EMAIL PROTECTED]> wrote:
>> In terms of features, something comparable to Apple's grapher  
>> application
>> would be nice. Specifically, if you give, say, a polynomial in two
>> variables, it should automagically do implicit plotting. I think  
>> that having
>> dead simple implicit plotting could be a huge selling point for SAGE.
>>
>> ~Bobby
>>
>> On 4/23/07, William Stein <[EMAIL PROTECTED]> wrote:
>>>
>>>
>>> On 4/23/07, Timothy Clemans <[EMAIL PROTECTED] > wrote:
>>>> What is the plan to support plotting of equations, especially ones
>>>> like x^2 + y^2 == 1 which is y == +- sqrt(-x^2 + 1) and 6*x +  
>>>> 4*y == 9
>>>> which is y == -6/4*x + 3/2?
>>>
>>> I don't have a good plan yet.  Thought out suggestions for an
>> implementation
>>> strategy are welcome.  Please email the list.  This will be after
>>> sage-2.5 is released though.
>>>
>>> William
>>>
>>>
>>>>>
>>>
>>
>
> 

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