In this paper, we investigate the envelope of two special families of chords of an ellipse and prove that the envelopes are also ellipses. The obtained results are important for computerized design of the generation o...In this paper, we investigate the envelope of two special families of chords of an ellipse and prove that the envelopes are also ellipses. The obtained results are important for computerized design of the generation of envelope curves and examples are illustrated graphically with Matlab.展开更多
基金Supported by the Start-up Research Fund from Huzhou University (RK21089)。
文摘In this paper, we investigate the envelope of two special families of chords of an ellipse and prove that the envelopes are also ellipses. The obtained results are important for computerized design of the generation of envelope curves and examples are illustrated graphically with Matlab.