摘要
以椭圆为研究对象,利用积分几何理论求出了椭圆的周长公式.利用微分几何理论求出椭圆的切线方程并证明了椭圆的凸性.最后利用射影几何理论,研究了椭圆的一些度量性质.
For the ellipse, this paper obtains its perimeter formula by means of integral geometry, and the tangent equation and the convexity by means of differential geometry. Some metric properties of ellipse are also obtained using the projective geometry.
出处
《高等数学研究》
2013年第1期28-29,31,共3页
Studies in College Mathematics
关键词
椭圆
切线
凸性
ellipse, tangent, convexity
