位似曲线与单参数曲线族

Homothetic Curves and One-Parameter Family of Curves

先给出了位似曲线与相似曲线的定义,然后在此基础上推导出若干结果,即:两曲线位似的充分必要条件;单参数曲线族是位似曲线族的充分必要条件;位似曲线的共有性质。

At first, homothetic curves and similar curves are defined. Then, some results are de- duced. Namely,the necessary and sufficient condition on which two curves homothetic, the nec- essary and sufficient condition on which one-parameter family of curves is the family of homothet- ic curves and the common features of homothetic curves.