Title | General Inverses in 2-D, 3-D, applications inspired by Technology |

Author | Wei-Chi YANG and Min-Lin LO |

Volume | 2 |

Number | 3 |

We first generalize the concept of inverse images with respect to the line *y* = *x* to the inverse images with respect to *y* = *mx* + *b*, and we extend the idea to three dimensions. Next, we find the reflection of a point on curve *C1* with respect to a moving point *P* on *C2*: We find the locus of the point *P*; which links to the concept of orthotomic and caustic curves. The concepts can be extended to the corresponding ones in 3-D. It is interesting to see how technological tools have prompted us to relate Mathematics to similar concepts used in Physics.