File:EB1911 Probability - band and circle.jpg

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EB1911_Probability_-_band_and_circle.jpg(327 × 297 pixels, file size: 21 KB, MIME type: image/jpeg)

Description
English: A straight band of breadth c being traced on a floor, and a circle of radius r thrown on it at random: find the mean area of the band which is covered by the circle. Let A be a position of the random point; the favourable cases are when HK, the bisector of the band, meets a circle, centre A, radius ½c; and the whole number are when HK meets a circle, centre O, radius r + ½c.
Date published 1911
Source “Probability,” Encyclopædia Britannica (11th ed.), v. 22, 1911, p. 388, fig. 2.
Author Francis Ysidro Edgeworth
Permission
(Reusing this file)
Public domain This image comes from the 13th edition of the Encyclopædia Britannica or earlier. The copyrights for that book have expired in the United States because the book was first published in the US with the publication occurring before January 1, 1929. As such, this image is in the public domain in the United States.

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Date/TimeThumbnailDimensionsUserComment
current17:02, 6 February 2018Thumbnail for version as of 17:02, 6 February 2018327 × 297 (21 KB)Bob Burkhardt{{Information |Description ={{en|1=A straight band of breadth ''c'' being traced on a floor, and a circle of radius ''r'' thrown on it at random: find the mean area of the band which is covered by the circle. Let A be a position of the random point;...