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Historical mathematical curves

Page by Murray Bourne, IntMath.com. Last updated: 14 January 2020.

This is a collection of famous math curves that have been studied throughout history. There are animations and exploratory activities that help to explain the curves.

Witch of Agnesi

Witch of Agnesi

Witch of Agnesi is an interesting curve studied by the 18th century Italian mathematician, Maria Agnesi.

See some animations and some background on this curve at:

Witch of Agnesi

Lemniscate of Bernoulli

Lemniscate of Bernoulli

Jacob Bernoulli studied and described this interesting curve in the late 17th century. It is a modification of the ellipse.

See some animations and some background on this curve, including a portion where I respect Bernoulli's dying wishes at:

Lemniscate of Bernoulli

Quadratrix of Dinostratus

Quadratrix of Dinostratus

The ancient Greek mathematicians studied this curve in an attempt to solve problems such as trisecting an angle and squaring a circle.

See some animations and some background on this curve at:

Quadratrix of Dinostratus

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Tips, tricks, lessons, and tutoring to help reduce test anxiety and move to the top of the class.