Describes a theoretical development to explain the shadow patterns of an object exposed to an extended light source while held at varying distances from a screen. The theoretical model is found to be accurate in comparison with experimental results. (MDH)

Discusses a misconception about the cycloid that asserts the final point on the path of shortest time in the "Brachistochrone" problem is at the lowest point on the cycloid. Uses a BASIC program for Newton's method to determine the correct least-time cycloid. (MDH)

Discusses the rate of fall of a wooden beam or a chimney by examining the fall of a highway lamp pole when it is sheered off at its base upon impact by a vehicle. Provides the mathematical formulas to explain and an experiment to illustrate the phenomenon. (MDH)

Discusses the emergence of chaos as a major scientific subject and its place in historical, scientific, and technological context. Three sections provide (1) an overview of the scientific paradigm; (2) a review of the ideology of classical mechanics; and (3) examples of classical systems behaving in peculiar, nonintuitive manners. (MDH)

Discusses the early recognition of chaos as seen in Poincar's work solving dynamical problems. Proposes five examples from which an inventory of the manifestation of chaos can be inferred. Discusses some instructional consequences of the development of ideas of chaos. (MDH)