Publication details

Coaxal pencil of circles



Year of publication 2015
Type Article in Proceedings
Conference XXXIII International Colloquium on the Management of Educational Process: proceedings of abstracts and electronic versions of reviewed contributions on CD-ROM
MU Faculty or unit

Faculty of Science

Field General mathematics
Keywords svazek kružnic; chordála; mocnost bodu ke kružnici; Apolloniova kružnice
Description In this paper we are going to investigate one of the most intriguing types of sets of circles in the plane, which is the coaxal pencil of circles. After a brief introduction of the concept of a power of a point with respect to a circle we will discuss pure geometric approach of how to define coaxal pencil building on the knowledge of the circle of Apollonius. For comparison we will also present the coaxal pencil of circles using the language of analytic geometry.

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