The Power of a Point — a Vector Perspective

Assoc. Prof. Dr. Boyko Bantchev
Institute of Mathematics and Informatics – Bulgarian Academy of Sciences

https://doi.org/10.53656/math2023-1-2-the

Abstract. Vector algebra is a very effective calculation language for doing geometry. It is expressive and succinct, and tends to foster generality and simplicity. In this article we consider from a vector perspective a series of problems concerning circles. After presenting a simple but so far seemingly unnoticed property of the notion of power of a point, we show its application to constructing solutions to the problems.
Keywords: vector algebra; power of a point

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