Envelope Computation using Dual Numbers Rizal Afgani
KK Analisis dan Geometri, Institut Teknologi Bandung
Abstract
Using the concept of infinitesimals Anders Kock and others introduced derivative without the notion of limits. Moreover, he introduced the notion of infinitesimal neighbourhood of a point and of family of lines on a plane paramaterized by a curve. He then define the envelope of a given familiy simply as the collection of points of intersections of a line from the family with its neighbours. In this article we show how a concrete computation can be carried out using dual numbers.
