World Library  
Flag as Inappropriate
Email this Article


Article Id: WHEBN0014230769
Reproduction Date:

Title: Integraph  
Author: World Heritage Encyclopedia
Language: English
Subject: Mathematical instrument, Red Annihilation, Planimeter, List of Russian inventors
Collection: 1880 Introductions, Mathematical Tools
Publisher: World Heritage Encyclopedia


Integraph per Abakanowicz design, 1915 catalog drawing
Coradi's integraph, 1911 drawing

An Integraph is an instrument used in mathematics for plotting the integral of a graphically defined function.

It was invented independently about 1880 by the British physicist Sir Charles Vernon Boys and by Bruno Abakanowicz, a Polish-Lithuanian mathematician from the Russian Empire.

An integraph consists of a rectangular carriage which moves left to right on rollers, two sides of which run parallel to the x axis on the Cartesian plane. The other two sides are parallel to the y axis. Along the trailing vertical (y axis) rail, slides a smaller carriage holding a tracing point. Along the leading vertical rail slides a second smaller carriage to which is affixed a small, sharp disc, which rests and rolls (but does not slide) on the graphing paper. It will not rotate about its point of contact with the paper. The trailing carriage is connected both with a point in the center of the carriage and the disc on the leading rail by a system of sliding crossheads and wires, such that the tracing point must follow the disc's tangential path.

See also


  • Granville, William. Elements of Differential and Integral Calculus, New Edition. Ginn and Company. NY, NY, 1934
This article was sourced from Creative Commons Attribution-ShareAlike License; additional terms may apply. World Heritage Encyclopedia content is assembled from numerous content providers, Open Access Publishing, and in compliance with The Fair Access to Science and Technology Research Act (FASTR), Wikimedia Foundation, Inc., Public Library of Science, The Encyclopedia of Life, Open Book Publishers (OBP), PubMed, U.S. National Library of Medicine, National Center for Biotechnology Information, U.S. National Library of Medicine, National Institutes of Health (NIH), U.S. Department of Health & Human Services, and, which sources content from all federal, state, local, tribal, and territorial government publication portals (.gov, .mil, .edu). Funding for and content contributors is made possible from the U.S. Congress, E-Government Act of 2002.
Crowd sourced content that is contributed to World Heritage Encyclopedia is peer reviewed and edited by our editorial staff to ensure quality scholarly research articles.
By using this site, you agree to the Terms of Use and Privacy Policy. World Heritage Encyclopedia™ is a registered trademark of the World Public Library Association, a non-profit organization.

Copyright © World Library Foundation. All rights reserved. eBooks from Project Gutenberg are sponsored by the World Library Foundation,
a 501c(4) Member's Support Non-Profit Organization, and is NOT affiliated with any governmental agency or department.