*The Pythagorean theorem is proved geometrically in yet another way. This article originally appeared as "Proof without Words: \(a^2 + b^2 = c^2\)."*

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Displaying 111 - 120 of 1212

*A general version of the gambler's ruin problem is solved by elementary means.*

*The authors show that for every continuous function with irrational period, the set of images of integers is dense in the range.*

*The author applies basic group theory ideas to a variety of card tricks.*

*The authors show that a function between vector spaces that maps lines to lines is either a collineation or has one-dimensional range.*

*The paper presents a guided collection of problems investigating when groups are isomorphic to proper subgroups.*

*The author explores integration of radially symmetric functions of several variables.*

This is a discusion of the importance of the existence of limits in L'Hôpital's Rule.

*An analytic proof of the fact that for any triangle \(ABC\), \(G=\frac{1}{3}(A+B+C)\) is the centroid of the triangle.*

*A simple characterization of the condition that, for an integer-sided triangle, one angle is twice another.*