1) Consider two lines, r and r \' that are parallel transports of each other alo
ID: 3282654 • Letter: 1
Question
1) Consider two lines, r and r' that are parallel transports of each other along a third line l.
a)Consider now the three lines and look for symmetries of the figure. state a symmetry of this figure, clarifying whether the symmetry holds true for both the plane and the sphere figure or for only one of them (which).
b) If two geodesics r and r' are parallel transports along another geodesic l, then they are also parallel transports along any geodesic passing through the midpoint of the segment of l between r and r'.
Explanation / Answer
a) Yes, Symmetry will hold for both the plane and sphere as in both figure the parallel lines r and r' intersect by transversal line l making same adjacent angle.
b) Yes, True. If two geodesics r and r' are parallel transports along another geodesic l, then they are also parallel transports along any geodesic passing through the midpoint of the segment of l between r and r'.
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