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Possible Cross-Section for a Coronal Loop of Given Shape?

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Figure

Figure 2 The local coordinatemeasured from the loop axisalong a normal line to the loopsystem
Figure 3 Sketch of the
Figure 5 Illustration of theand the angle between thenormals is larger thanproof that the map F is injectivefor the case when the loop axishas the shape shown in Figure 1b π.
Figure 6 Illustration of the proof that the map F is injective and has the shape shown in Figure 1c and theangle between the normals is larger than π.

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