Title 
On Finding the Shortest Distance of a Point From a Line: Which Method Do You Prefer?

Author/s 
Bhalchandra W Gore
Centre for Modeling and Simulation, University of Pune, Pune 411 007 India

Abstract 
The formula for the shortest distance of a point from a line can be derived in several different ways. Some typical methods are taught at the elementary (i.e., highschool and junior college) level. However, solving such ``schoolbook'' problems using advanced mathematical methods is often overlooked and neglected. This article illustrates how this formula can be derived in various ways. Such a comparison will not only encourage the reader to explore and understand how and why mathematical techniques work, but it will also help understand the common thread between different branches of mathematics. This exercise also shows that ``the best way'' to solve a mathematical problem is a misnomer.

Keywords 
regression, geometry, maths

Download 
External Link

Citing This Document 
Bhalchandra W Gore
,
On Finding the Shortest Distance of a Point From a Line: Which Method Do You Prefer?.
Technical Report
CMSTR20170707
of the Centre for Modeling and Simulation,
Savitribai Phule Pune University, Pune 411007, India (2017);
available at http://cms.unipune.ac.in/reports/.

Notes, Published Reference, Etc. 

Contact 
bwgore@cms.unipune.ac.in

Supplementary Material 
