The Band-Aid Principle

Philip J. Davis and William G. Chinn

Chapter 15 in 3.1416 And All That, 1985, pp 108-116 from Springer

Abstract: Abstract IT IS ALWAYS a delight when simple ideas lead to great consequences. Newton’s apple led to the law of the mutual attraction of bodies, and the consequences of this can not be set forth adequately in fifty volumes. The story that I’m going to tell here is not so well known as Newton’s apple. Its consequences are not so great. But the story is easier to understand: all that is required is a bit of geometrical and mechanical intuition. And it is a fine illustration of how mathematics tries constantly to understand and explain a complicated situation by an appeal to a related simple situation.

Keywords: Great Circle; Orange Peel; Geodesic Curve; Nearby Point; Mutual Attraction (search for similar items in EconPapers)
Date: 1985
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DOI: 10.1007/978-1-4615-8519-0_15

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