A Circle of Ideas

  • William McGowen Priestley
Part of the Undergraduate Texts in Mathematics book series (UTM)


As we have seen, near the end of Chapter 5, the fundamental theorem of calculus veils her face with a circle. In this chapter we shall see that all of trigonometry hides behind a circle, as well. According to Plato, Dante, and many others, the circle is the most perfect figure. It is surely rich in ideas.


Unit Circle Inverse Function Tangent Line Chain Rule Central Angle 
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Copyright information

© Springer-Verlag New York, Inc. 1979

Authors and Affiliations

  • William McGowen Priestley
    • 1
  1. 1.Department of MathematicsThe University of the SouthSewaneeUSA

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