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Merifield, A. – AMATYC Review, 1990
Geometric and algebraic solutions to problems involving reflections of balls on a pool table are presented. The question of whether the ball must eventually enter a pocket is explored. A determination of the number of reflections is discussed. (CW)
Descriptors: College Mathematics, Computation, Geometry, Higher Education
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Malyshev, Igor; Becker, Joanne, Eds. – AMATYC Review, 1990
Four algebra problems and their solutions are presented to illustrate the use of a mathematical theorem. (CW)
Descriptors: Algebra, College Mathematics, Computation, Geometry
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McGivney, Ray; McKim, Jim – AMATYC Review, 2006
Interesting problems sometimes have surprising sources. In this paper we take an innocent looking problem from a calculus book and rediscover the radical axis of classical geometry. For intersecting circles the radical axis is the line through the two points of intersection. For nonintersecting, nonconcentric circles, the radical axis still…
Descriptors: Geometry, Calculus, Mathematics Instruction, College Mathematics
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Austin, Joe Dan – AMATYC Review, 1992
Argues that the derivation of the area of a circle using integral calculus is invalid. Describes the derivation of the area of a circle when the formula is not known by inscribing and circumscribing the circle with regular polygons whose areas converge to the same number. (MDH)
Descriptors: Area, Calculus, Geometry, Mathematical Formulas
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Fisher, William – AMATYC Review, 1990
Several activities involving area and volume using empty paper rolls are presented. The relationships of parallelograms to cylinders are illustrated. Teaching suggestions are provided. (CW)
Descriptors: Algebra, College Mathematics, Geometry, Higher Education