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.

Printable View

- January 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. - January 30th 2011, 05:13 PMdwsmith
- January 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? - January 31st 2011, 09:57 AMdwsmith
- January 31st 2011, 11:21 AMstatmajor
Yes, it is.

- January 31st 2011, 12:52 PMdwsmith
- January 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. - January 31st 2011, 12:56 PMdwsmith