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Make a Circle with Two Parabolas

Name: Anonymous 2010-11-22 18:05

can you approximate a circle with 2 parabolas?

Name: Anonymous 2010-11-22 18:42

It'd be a really funny circle.

Name: Anonymous 2010-11-22 21:10

you can badly approximate a circle, sure

Name: Anonymous 2010-11-29 17:29

you could make a circle with a circumference of 1 and its origin at (0.5,0) by plotting the two functions y(1) = .5(x^2) and y(2) = -.5(x^2) + 1 within the range [-1,1]

Name: Anonymous 2010-12-02 15:46

[eqn]
x^2 + y^2 = r^2
y^2 = r^2 - x^2
y = \pm \sqrt{r^2 - x^2}
If you consider this a parabola, yes.
[\eqn]

Name: Anonymous 2010-12-02 15:52

[eqn]
x^2 + y^2 = r^2
y^2 = r^2 - x^2
y = \pm \sqrt{r^2 - x^2}
[\eqn]
If you consider this a parabola, yes.

Name: Anonymous 2010-12-03 2:50

Can you make a sine wave with parabolas?

Name: Anonymous 2010-12-03 14:17

>>7
The way the slope changes along the curves is not the same.  You could make something approximating a sine wave I suppose.

Name: Anonymous 2010-12-14 15:29

Name: Anonymous 2010-12-21 18:34

Name: Anonymous 2012-05-31 8:42

I like turtles.

Name: Anonymous 2012-05-31 17:38

>>8
and what about cosine?

Name: Anonymous 2012-06-02 12:29

>>7
yes and it's common in programming when you want performance

that or taylor series for more accuracy

Name: Anonymous 2012-06-04 11:44

>>5-6
Can you post equations without fucking up?

Name: Anonymous 2012-06-07 13:52

Taylor that shit. First, draw a line that is tangent. Then find the first derivative and draw a parabola whose first derivative is equal to that. More derivatives = closer results

Name: Anonymous 2012-06-09 21:47

Retarded question, what software do you use to make graphs like that?

Sage for useless reply.

Name: Anonymous 2012-06-15 23:23

The curvature is not the same, the curvature of a circle is constant, parabola, varying. Google fucking radius of curvature. Confirmed for faggot who never took calculus III therefore is probably either stupid or underage. Reported.

You should all be ashamed for replying to this thread.

Name: Anonymouse 2012-09-10 0:12

This thread: it's an amusing train wreck. As a tribute, I'll add my own idiocy to the mix.
>>8 What about cocaine?
>>11 "Defeat Shredder without being turned into a regular turtle."
>>16 I prefer Cerulean.
>>17 Faggot: n. "a bundle of sticks and branches bound together."

Name: Anonymous 2013-05-19 11:10

Stop! It makes my brain cry : http://www.onepicten.com/2013/03/749.html

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