
doi: 10.2307/3618976
In this article I shall take a problem, the quadrature of the cissoid, and compare a hard (but brilliant!) pre-calculus solution of 1658 with the easy (and routine) calculus solution of only 13 years later. Afterwards we shall perhaps see the calculus through different eyes and maybe even teach it differently. Calculus is mechanical, but that it is mechanical is a marvel.
Introductory exposition (textbooks, tutorial papers, etc.) pertaining to real functions, Gregory, Huygens, Sluse, History of mathematics in the 17th century, History of real functions, integration, Wallis
Introductory exposition (textbooks, tutorial papers, etc.) pertaining to real functions, Gregory, Huygens, Sluse, History of mathematics in the 17th century, History of real functions, integration, Wallis
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