Minimal distance from a point to a lines

We present a solution to the problem of computing a point in the plane minimizing the distance to n given lines. We used an experimental mathematics approach: using dynamic geometry software, we gathered data which allowed us to conjecture and testing our hypothesis. Finally we formalized our reasoning to prove the conjecture. Although this solution was known, our method could be of interest.

Datos
Titulo: 
Minimal distance from a point to a lines
Autor(es): 
Martín Eduardo Acosta Gempeler
Carolina Mejía
Carlos Wilson Rodríguez
Titulo de la Revista: 
Matemáticas: Enseñanza Universitaria
Pais: 
Colombia
Editorial: 
Universidad del Valle
ISSN: 
0120-6788
Volumen: 
20
Fasciculo: 
2
Paginas: 
35-44
Año: 
2015