二次曲线的射影与度量

Projection and Magnitude of Conic

度量几何中圆的切割线之间所确定的数量关系,推广到射影几何里一般二次曲线中,利用调和共轭元素之间的关系,更广泛地确定了极与极线的相互关系,着重介绍了二次曲线的度量性质与射影性质的内在联系。

In magnitude geometry, the relation of quantity determined by the round tangent is used in the general quadric curve in the photographic geometry. Using the relations between harmonic conjugation elements, we can determine the relations between polar point and polar line more widely. The paper mainly introduces the magnitude property of quadric curve and its innate relations with the projective property.