Kepler’s ellipse perimeter approximations

The Endeavour 2024-06-20

Summary:

In 1609, Kepler remarked that the perimeter of an ellipse with semiaxes a and b could be approximated either as P ≈ 2π(ab)½ or P ≈ π(a + b). In other words, you can approximate the perimeter of an ellipse by the circumference of a circle of radius r where r is either the geometric mean […]

The post Kepler’s ellipse perimeter approximations first appeared on John D. Cook.

Link:

https://www.johndcook.com/blog/2024/06/19/ellipse-perimeter-approximations/

From feeds:

Statistics and Visualization » The Endeavour

Tags:

geometry

Authors:

John

Date tagged:

06/20/2024, 06:01

Date published:

06/19/2024, 23:43