A simple derivation of the Gauss-Bonet theorem is presented based on the representation of spherical polygons by Euler angles and Rodrigues transposition theorem. This leads to a derivation of the theorem which avoids completely the explicit evaluation of rotation matrices.

中文翻译：

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Gauss-Bonet定理的简单推导

基于欧拉角和罗德里格斯换位定理表示的球面多边形，给出了高斯-博内特定理的简单推导。这导致了该定理的推导，该定理完全避免了旋转矩阵的显式评估。