*This article takes another look at the sliding ladder problem that students meet in the study of related rates in calculus. Three variations of the problem are analyzed using elementary...*

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*In Sam Loyd's classical Courier Problem, a courier goes around an army while both travel at constant speeds. If the army travels its length during the time the courier makes his trip, how...*

*The formula \( \theta = \arctan(y/x) \) gives the angle associated with a point \( (x,y) \) in the plane, valid for \( \mid \theta \mid < \pi/2 \). This capsule presents a formula...*

*The result \( \frac{1}{n} + \frac{1}{n^2} + \frac{1}{n^3} + \cdots = \frac{1}{n-1} \) is illustrated for \( n = 9 \) and the remark is made that a similar construction shows the result...*

*In this article a classroom "trick" involving square arrangements of natural numbers is used to motivate a discussion of a special class of matrices. In particular, a basis is...*

*In this note, the Cauchy-Schwarz inequality is derived from Pearson's inequality. It follows that the two are equivalent.*

*This note is on the digital (floating-point) representation in various arithmetic bases of the reciprocal of an integer \( m \). An algorithm is given to change the representation of \( 1/m...*

*The authors describe how to generate many pairs of smooth functions having the property that slices of the two corresponding surfaces of revolution have equal surface areas.*

*Some results in plane geometry can be proved easily using 3-dimensional vectors. This article explores several such examples.*

*Two of Euler's familiar identities, the sum of reciprocals of squares of integers and the infinite product expression of sine function, are proved again.*