The Mechanical Drawing of Cycloids, The Geometric Chuck
Inhaltsverzeichnis
Reference
Robert Craig: The Mechanical Drawing of Cycloids, The Geometric Chuck. In: Bridges 2006. Pages 203–210
DOI
Abstract
This paper discusses cycloids and their construction using the 19th century mechanical drawing instrument known as the Geometric Chuck. The first part of the paper is a brief history and description of the Geometric Chuck. The last part of the paper is devoted to a discussion the definition of cycloids and examples showing the results that various settings of the Geometric Chuck have on the cycloid patterns produced. This paper is an attempt, in part, to respond to the comment in the Savory book "As this book does not aim at giving a scientific account of the principles on which it works. It might be an exceedingly interesting subject for the scientific person, ....the scientific knowledge required to understand a three-part chuck would be so great that I doubt if there is the person existing who could describe the course of a line that would be produced...."[6]
Extended Abstract
Bibtex
Used References
[1] Northcott. W. Henry, A Treatise on Lathes & Turning, Longmans Green & Co., 1868, pp. 270-288
[2] Bergeron, L. -E. ,Manuel du tourneu 2nd ed. rev., cor., et considérable augm., Paris, 1816, Plate XXXIX
[3] "Making Money," Harper's Monthly Magazine No. CXLI, Vol. XXVI February, 1862, pp. 310-313
[4] http://www.citiesofscience.co.uk/go/London/ContentPlace_2854.html
[5] Bazley, Thomas S., Index to the Geometric Chuck, Waterlow and Sons, 1875, pp. v
[6] Savory, H.S.,Geometric Turning:Comprising a Description of the New Geometric Chuck, Longmans, Green & Co, 1873, pp. 4-5
[7] EricW.Weisstein."Epicycloid."From MathWorld--A Wolfram Web Resource http://mathworld.wolfram.com/Epicycloid.html
[8] EricW.Weisstein."Hypocycloid."From MathWorld--A Wolfram Web Resource http://mathworld.wolfram.com/Hypocycloid.html
[9] Farris, Frank A., "Wheels on Wheels on Wheels-Suprising Symmetry," Mathematics Magazine Vol.69, No. 3, (June 1996) pp. 185-189
[10] Giblin, Peter and Trout, Matthew, "Cusps on Wheels on Wheels on Wheels," Mathematics Magazine Vol. 71, No. 4, (October 1998) pp. 309-313
[11] Edwards, Ross, Microcomputer Art, Prentice-Hall of Australia Pty Ltd, pp. 33,65,67
[12] Reed, AV and Tweddle,Norman, "Great Grandpa Did Contour Turning," American Machinist, November 10,1952, pp. 119-121
Links
Full Text
http://archive.bridgesmathart.org/2006/bridges2006-203.pdf
