研究了微分几何中的拟欧拉公式及其应用.首先给.出它的一个新的证明,再由微分几何中的欧拉及拟欧拉公式,得到了一个新的拟欧拉公式,这一公式反映了两曲面沿交线的曲率与法曲率和测地曲率之间的关系.
In the paper, we investigate the analogous Euler formula and its application in differential geometry. First of all, we give a new proof to this analogous formula. Then we obtain a new analogous Euler formula by the Euler and analogous Euler formula. The new formula we obtained indicates the relation among the curvature of the intersection curve of two surfaces, the normal curvatures and the geodesic curvatures.