A conic asssociated with Euler Lines

Semião, Paulo; Rodriguez, Juan; Manuel, Paula

http://hdl.handle.net/10400.1/4173

Use this identifier to reference this record.

Name:	Description:	Size:	Format:
PSemiao_FG_Sapientia.pdf		77.75 KB	Adobe PDF	Download

Send Feedback

Authors

Semião, Paulo

Rodriguez, Juan

Manuel, Paula

Abstract(s)

We study the locus of a point C for which the Euler line of triangle ABC with given A and B has a given slope m. This is a conic through A and B, and with center (if it exists) at the midpoint of AB. The main properties of such an Euler conic are described. We also give a construction of a point C for which triangle ABC, with A and B fixed, has a prescribed Euler line.