File:EB1911 Probability - area and line.jpg

No higher resolution available.

EB1911_Probability_-_area_and_line.jpg ‎(303 × 270 pixels, file size: 14 KB, MIME type: image/jpeg)

This is a file from the Wikimedia Commons. Information from its description page there is shown below.
Commons is a freely licensed media file repository. You can help.

Description

English: To investigate the probability that the inclination of the line joining any two points in a given convex area shall lie within given limits: let one of the points A be fixed; draw through it a chord PQ = C, at an inclination θ to some fixed line; put AP = r, AQ = r′; then the number of cases for which the direction of the line joining A and B lies between θ and θ + dθ is measured by ½(r² + r′²)dθ.

Date

published 1911

Source

“Probability,” Encyclopædia Britannica (11th ed.), v. 22, 1911, p. 388, fig. 4.

Author

Francis Ysidro Edgeworth

Permission
(Reusing this file)

This image comes from the 13^th 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.

File history

Click on a date/time to view the file as it appeared at that time.

	Date/Time	Thumbnail	Dimensions	User	Comment
current	17:12, 6 February 2018		303 × 270 (14 KB)	Bob Burkhardt	{{Information \|Description ={{en\|1=To investigate the probability that the inclination of the line joining any two points in a given convex area shall lie within given limits: let one of the points A be fixed; draw through it a chord {{nowrap\|PQ {{...

File usage

The following 2 pages use this file: