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Some Transformations from a Unit Circle with Line Values of the Sine Function

Frank G. Dickinson

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Abstract

Several transformations from a unit circle were developed a few years ago by manipulating a physical model of a unit circle of 6 inch radius constructed to serve as a classroom aid for explaining the sine curve, the cycloid and the cardioid to students at the University of Illinois.

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What this paper is about

Several transformations from a unit circle were developed a few years ago by manipulating a physical model of a unit circle of 6 inch radius constructed to serve as a classroom aid for explaining the sine curve, the cycloid and the cardioid to students at the University of Illinois.

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Available abstract

Several transformations from a unit circle were developed a few years ago by manipulating a physical model of a unit circle of 6 inch radius constructed to serve as a classroom aid for explaining the sine curve, the cycloid and the cardioid to students at the University of Illinois.

Key concepts: Sine, Unit circle, Great circle, Unit (ring theory), Cycloid, Line (geometry), Function (biology), Mathematics

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