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+--- Thread: graphing x^2+y^2=1 (/showthread.php?tid=334)
graphing x^2+y^2=1 - libmanagain - 06-01-2012 04:44 PM
Hi folks,
When I graph x^2+y^2=1 in 3d mode and examine the graph in the x-y plane there is a gap in the graph at the end of the domain of x.
See attached.
How can I correct this if at all?
As always thanks,
Libman
RE: graphing x^2+y^2=1 - Support - 09-01-2012 10:08 AM
Hi Libman,
That is a result of the way Autograph plots that type of equation numerically. We basically scan from left to right on the x-axis, the size of the steps along the x-axis determines how precise the plot it.
Click on Replot, select Manual and change the x-step to 0.01 for example. You should notice the circle edges getting closer to closing.
To produce a perfectly closing circle you will need to resort to the parametric form. This is plotted numerically by incrementing t which will avoid these issues, because t represents an angle:
x = cost, y = sint, z = 0
Best regards,
Simon