#### Event Title

#### Location

Stephen F Austin State University, Baker Pattillo Student Center, Twilight and Grand Ballrooms

#### Start Date

10-4-2012 4:00 PM

#### End Date

10-4-2012 8:00 PM

#### Description

Early in their mathematical career, students learn about how ellipses and hyperbolas are formed, their properties, and their applications. In particular, an ellipse is the set of all points in the plane whose combined distance from two fixed locations (foci) is constant. A hyperbola is formed in much the same way, except instead of combining (adding) the distance from the foci, the difference is used. This research begins by examining a new locus of points. The locus of points if formed by taking all points whose distance from two fixed locations when multiplied in constant. The difference discernible types of loci are discussed, along with their properties and possible applications.

A Multiplicative "Conic"

Stephen F Austin State University, Baker Pattillo Student Center, Twilight and Grand Ballrooms

Early in their mathematical career, students learn about how ellipses and hyperbolas are formed, their properties, and their applications. In particular, an ellipse is the set of all points in the plane whose combined distance from two fixed locations (foci) is constant. A hyperbola is formed in much the same way, except instead of combining (adding) the distance from the foci, the difference is used. This research begins by examining a new locus of points. The locus of points if formed by taking all points whose distance from two fixed locations when multiplied in constant. The difference discernible types of loci are discussed, along with their properties and possible applications.