Cookies Policy
X

This site uses cookies. By continuing to browse the site you are agreeing to our use of cookies.

I accept this policy

Find out more here

PLANIMETERS AND INTEGRAPHS IN THE 19th CENTURY. BEFORE THE DIFFERENTIAL ANALYSER

No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
The full text of this article is not currently available.

Brill’s MyBook program is exclusively available on BrillOnline Books and Journals. Students and scholars affiliated with an institution that has purchased a Brill E-Book on the BrillOnline platform automatically have access to the MyBook option for the title(s) acquired by the Library. Brill MyBook is a print-on-demand paperback copy which is sold at a favorably uniform low price.

Access this article

+ Tax (if applicable)
Add to Favorites
You must be logged in to use this functionality

image of Nuncius

<title> ABSTRACT </title>When reading books on the history of computing, we are accustomed to find informations on arithmetical engines, and on the developments of the relation between logic and mathematics at the beginning of the 20th century. From a standpoint such as this, it is difficult to understand what is going on in scientific calculus between Babbage's analytical engine and the computers. This view of history simply neglects the importance of analog instruments. Certain of them, such as planimeters and integraphs, designed for measuring surfaces, materialized the theoretical integral calculus, and gave results even when the calculus did not. First invented in the beginning of the 19th century, they were essentially developed after the theoretical legitimization of the polar planimeter by Jakob Amsler (1823-1912) after 1856. This small and practical instrument quickly spread amongst the engineers of European industrial countries. Integraphs drew the curves giving the area for each point on the outline of the surfaces to be measured. They were manufactured as prototypes rather than on a large scale, and were not used to such an extent as planimeters.More specifically in England, planimeters and integraphs gained in importance with the particular implication of some engineers-physicists. And the initial system of a roller rolling on a cone or a disc was integrated into more complex apparatus. Lord Kelvin's (1824-1907) harmonic analyser used several systems (disc-sphere-cylinder) to draw different Fourier components of the periodic movement of the tides, and Kelvin devised a manner to build them in order to resolve differential equations. Several decades later, when technical problems were resolved, Douglas R. Hartree (1897-1958) followed Vannevar Bush (1890-1974) devising the differential analyser.

Loading

Full text loading...

/content/journals/10.1163/182539110x00064
Loading

Data & Media loading...

http://brill.metastore.ingenta.com/content/journals/10.1163/182539110x00064
Loading

Article metrics loading...

/content/journals/10.1163/182539110x00064
2010-01-01
2016-12-06

Sign-in

Can't access your account?
  • Tools

  • Add to Favorites
  • Printable version
  • Email this page
  • Subscribe to ToC alert
  • Get permissions
  • Recommend to your library

    You must fill out fields marked with: *

    Librarian details
    Your details
    Why are you recommending this title?
    Select reason:
     
    Nuncius — Recommend this title to your library
  • Export citations
  • Key

  • Full access
  • Open Access
  • Partial/No accessInformation