Ott Compensating Planimeter: Hot Integrals in Your Area

Описание: Invented in the early 19th century, Planimeters are used to measure the area of irregular two-dimensional shapes such as regions on maps or cross-sections in engineering drawings. The mathematics behind their operation are extremely clever, relying on an elegant application of the Difference of Areas Theorem / Green's Theorem.

0:00 Intro
1:16 Early Planimeters
1:49 Hermann Planimeter
2:51 Rolling Sphere Planimeters
3:29 Ball-and-Disk Integrators
4:38 Amsler Planimeter
5:26 Ott Planimeter: Overview
7:06 Ott Planimeter: Use
7:34 Mathematical Principles
10:43 Ott Planimeter: Accessories
11:48 Other Planimeters
12:10 Outro

SOURCES

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