Excursions in Algebra



Let us try to solve Grand Problem I. You may recall (Figure 2.2) that every triangle can be cut into n triangles congruent to each other if n is a perfect square (i.e., n = 1, 4, 9, 25, …). The “only” question that remains is whether a partition into n congruent triangles exists only for perfect squares n.


Characteristic Vector Algebraic Equation Linear Algebra Generalize Tool Coordinate Form 
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© Springer-Verlag New York 2009

Authors and Affiliations

  1. 1.College of Letters, Arts and SciencesUniversity of Colorado at Colorado SpringsColorado SpringsUSA

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