I'm just wondering what parallel transport in the plane mean. I drew the following picture: Attachment 20642

So does Parallel Transport say that a=a* and b=b*?

Any help would be greately appreciated.

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- Jan 30th 2011, 04:55 PMstatmajorParallel Transport (Plane)
I'm just wondering what parallel transport in the plane mean. I drew the following picture: Attachment 20642

So does Parallel Transport say that a=a* and b=b*?

Any help would be greately appreciated. - Jan 30th 2011, 05:13 PMdwsmith
- Jan 31st 2011, 09:27 AMstatmajor
I'm trying to prove that a=a* and b=b* using only the fact that the sum of the interior angles of a triangle is 180 degrees.

In my diagram, there are 2 triangles: ABC and A*B*C

a + b + c = 180 and a* + b* + c =180 (a,b,a*,b,c are angles)

since both equations equal to 180, I equate them to each other and subtract angle c from both sides to get:

a + b = a* + b*.

I'm stuck here. I proved that their sum is the same, but not the angles. Do you have any suggestions? - Jan 31st 2011, 09:57 AMdwsmith
- Jan 31st 2011, 11:21 AMstatmajor
Yes, it is.

- Jan 31st 2011, 12:52 PMdwsmith
- Jan 31st 2011, 12:54 PMstatmajor
What if I didn't know that the two lines were parallel?

What I'm tring to prove is that angles are congruent (using only the fact that the sum of the interior angles is 180). Would you know how?

I started what I thought was the correct method (my earlier post), but got stuck. - Jan 31st 2011, 12:56 PMdwsmith