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 Post subject: two curves touchPosted: Thu, 8 Mar 2012 18:45:46 UTC
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when did two curves touch each other.
if there slopes are equal at their point of intersection then is it sufficient?

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 Post subject: Re: two curves touchPosted: Thu, 8 Mar 2012 21:02:39 UTC
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mun wrote:
when did two curves touch each other.
if there slopes are equal at their point of intersection then is it sufficient?

Huh? What do you mean by "touch", because usually that means they are just intersecting. If you're demanding tangency, you need to make sure the tangent spaces at the point are the same.

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 Post subject: Re: two curves touchPosted: Thu, 8 Mar 2012 21:19:54 UTC
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mun wrote:
when did two curves touch each other.
if there slopes are equal at their point of intersection then is it sufficient?

Huh? What do you mean by "touch", because usually that means they are just intersecting. If you're demanding tangency, you need to make sure the tangent spaces at the point are the same.

where "the same" means that considering them as naturally embedded in the space where you have your curves are equal.

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 Post subject: Re: two curves touchPosted: Fri, 9 Mar 2012 08:16:47 UTC
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mun wrote:
when did two curves touch each other.
if there slopes are equal at their point of intersection then is it sufficient?

Huh? What do you mean by "touch", because usually that means they are just intersecting. If you're demanding tangency, you need to make sure the tangent spaces at the point are the same.

where "the same" means that considering them as naturally embedded in the space where you have your curves are equal.

where we are assuming the curves are differentiable at the common point, blahblahblah.

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 Post subject: Re: two curves touchPosted: Fri, 9 Mar 2012 08:36:13 UTC
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Joined: Wed, 30 Mar 2005 04:25:14 UTC
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outermeasure wrote:
mun wrote:
when did two curves touch each other.
if there slopes are equal at their point of intersection then is it sufficient?

Huh? What do you mean by "touch", because usually that means they are just intersecting. If you're demanding tangency, you need to make sure the tangent spaces at the point are the same.

where "the same" means that considering them as naturally embedded in the space where you have your curves are equal.

where we are assuming the curves are differentiable at the common point, blahblahblah.

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