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.

Keywords: Envelope, Dual Numbers,

Topic: MATHEMATICS AND STATISTICS