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Hoffman, Dale T. – Physics Teacher, 1991
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)
Descriptors: High Schools, Mathematical Formulas, Mathematical Models, Misconceptions

De Jong, Marvin L. – Physics Teacher, 1992
Studies the simple dynamical system of the pendulum and the chaotic behavior that occurs when the pendulum is both damped and driven. Provides an algorithm and BASIC program for the numerical solution to the differential equations encountered in the discussion. (MDH)
Descriptors: Algorithms, Chaos Theory, Computer Assisted Instruction, Differential Equations