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 May 12th, 2012, 11:50 AM #1 Newbie   Joined: May 2012 Posts: 11 Thanks: 0 What curve is this? Hello! Can somebody tell me what curve is this: (at; b sint; c cost), t e R
 May 12th, 2012, 11:57 AM #2 Senior Member     Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs Re: What curve is this? I believe it is an elliptical helix.
 May 25th, 2012, 01:35 PM #3 Newbie   Joined: May 2012 Posts: 11 Thanks: 0 Re: What curve is this? Can someone plot this curve in http://www.wolframalpha.com/, or some other program?
 May 25th, 2012, 02:42 PM #4 Global Moderator   Joined: Dec 2006 Posts: 21,026 Thanks: 2257 For what values of a, b and c?
May 26th, 2012, 12:27 AM   #5
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Re:

Quote:
 Originally Posted by skipjack For what values of a, b and c?
It dont says, just that t e R.. I guess that a,b,c are from Z, or R

May 26th, 2012, 12:35 AM   #6
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From: St. Augustine, FL., U.S.A.'s oldest city

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Math Focus: Calculus/ODEs
Re: What curve is this?

In order to plot a unique member of the family of curves given by the original parametric equations you have to choose values for a, b, and c.

Suppose we choose a = 1, b = 2 and c = 3, where 0 < t < 2?. To plot the curve in W|A, use the command:

plot x=t, y=2*sin(t), z=3*cos(t) for 0<t<2*pi

to get:

[attachment=0:3abg6ouj]ellipticalhelix.jpg[/attachment:3abg6ouj]
Attached Images
 ellipticalhelix.jpg (19.4 KB, 135 views)

 May 26th, 2012, 12:45 AM #7 Newbie   Joined: May 2012 Posts: 11 Thanks: 0 Re: What curve is this? Thank you. What wolud be equation of this curve without parameter t?
 May 26th, 2012, 01:13 AM #8 Senior Member     Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs Re: What curve is this? You would have two equations by eliminating the parameter, but it is most often that a 3-space curve such as a helix is represented parametrically I believe.
May 26th, 2012, 01:53 AM   #9
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Re: What curve is this?

Quote:
 Originally Posted by MarkFL You would have two equations by eliminating the parameter, but it is most often that a 3-space curve such as a helix is represented parametrically I believe.

what are flexion and torsion? Are they constant?

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