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Plot a curve in the region defined

asked 2017-01-13 05:03:27 -0600

Sha gravatar image

I have the following region :

p, t= var('p t') 
a=(-2*p*t^2-p^2*t)+(2*t*p-p^2)+t+1 
b=(p*t^2+2*p^2*t)+(2*t*p-t^2)-p+1 
c=(p*t^2-p^2*t)+(t^2+2*t*p+p^2)+t-p #3 sides (a,b,c) in terms of theta and phi
region_plot([a+b>=c, b+c>=a, c+a>=b], (t,-2,2), (p,-2,2))

And I want to plot a curve C=t*p*(t-p)+t*p+2*(t-p)-1 on the region in first quadrant. How am I suppose to do that.

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answered 2017-01-13 07:11:37 -0600

kcrisman gravatar image

Just use implicit_plot:

p, t= var('p t') 
a=(-2*p*t^2-p^2*t)+(2*t*p-p^2)+t+1 
b=(p*t^2+2*p^2*t)+(2*t*p-t^2)-p+1 
c=(p*t^2-p^2*t)+(t^2+2*t*p+p^2)+t-p #3 sides (a,b,c) in terms of theta and phi
R = region_plot([a+b>=c, b+c>=a, c+a>=b], (t,-2,2), (p,-2,2))
C = implicit_plot(t*p*(t-p)+t*p+2*(t-p)-1,(t,-2,2), (p,-2,2),color='red')
show(R+C)
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Comments

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Thank you. This gave me exactly the answer I was looking for.

Sha gravatar imageSha ( 2017-01-13 18:57:01 -0600 )edit

You're welcome!

kcrisman gravatar imagekcrisman ( 2017-01-13 20:42:54 -0600 )edit

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Asked: 2017-01-13 05:03:27 -0600

Seen: 35 times

Last updated: Jan 13