Image:Arc length, Fermat.png
From Wikipedia, the free encyclopedia
Size of this preview: 600 × 600 pixel
Image in higher resolution (1350 × 1350 pixel, file size: 83 KB, MIME type: image/png)
| This is a file from the Wikimedia Commons. The description on its description page there is shown below. |
La bildo estas kopiita de wikipedia:en. La originala priskribo estas:
This graph is meant to help accompany the article Length of an arc and describe the method Fermat used. It has been released by Jacob Rideout to the public domain.
This is a rough, first draft of the graph. While I was adding lines to the graph the various colors all turned to red and I could not separate the colors again. Below is the code for gnuplot, please help me fix it.
 |
This image is ineligible for copyright and therefore in the public domain, because it consists entirely of information that is common property and contains no original authorship.
العربية | Afrikaans | Česky | Dansk | Deutsch | English | Esperanto | Español | Français | हिन्दी | Italiano | 日本語 | 한국어 | Nederlands | Norsk (nynorsk) | Polski | Português | Русский | Swedish | Türkçe | 简体中文 | 正體中文 | +/- |
################################################################### ## Written by Jacob Rideout <wikipedia@jacobrideout.net> ## ## 2005 - Released to the public domain ## ################################################################### ## Define Display Settings set terminal postscript enhanced color solid lw 2 "Times-Roman" 20 set samples 1001 set output "fermat.ps" set size square set noborder set nokey set noxtics set noytics set xzeroaxis set yzeroaxis set parametric set multiplot #set pointsize 1 ################################################################### ## Define variables and functions a=.6 e=0.45*a f(x)=x**1.5 tangent(x)=1.5*(a**0.5)*(x-a)+f(a) ################################################################### ## Calculate plot range set yrange [-0.1:f(a)*2.5] set xrange [-0.1:a*2] # label offset lo=e/10 ################################################################### ## Set functions to plot # primary functions # tangent line set label "y=^3/_2(a^1^/^2)*(x-a)+f(a)" at a/2, f(a)/4 plot t, tangent(t) # y=x^(3/2) set label "y=x^3^/^2" at a/4, f(a)/2 plot t, f(t) # secondary (helper) lines # vertical line at x=a set label "(0,a)" at a+lo, 0+lo plot a, t # vertical line at x=a+e set label "(0,a+e)" at a+e+lo, 0+lo plot e+a, t # horzonal line at y = f(a) plot t, f(a) # intersections points # (a,f(a)) set label "A" at a+lo, f(a)+lo plot a, f(a) with lp pt 5 # (a+e,f(a)) set label "B" at a+e+lo, f(a)+lo plot a+e, f(a) with lp pt 5 # (a+e,tangent(a+e)) set label "C" at a+e+lo, tangent(a+e)-lo plot a+e, tangent(a+e) with lp pt 5 # (a+e,f(a+e)) set label "D" at a+e+lo, f(a+e)+lo plot a+e, f(a+e) with lp pt 5
| date/time | username | edit summary |
|---|---|---|
| 00:47, 2 February 2006 | en:User:Cmdrjameson | |
| 04:07, 27 January 2006 | en:User:Stan Shebs | (tag) |
| 18:02, 22 July 2005 | en:User:Jrideout | |
| 18:01, 22 July 2005 | en:User:Jrideout | (added code) |
| 18:00, 22 July 2005 | en:User:Jrideout | (This graph is meant to help accompany the article <a href="/wiki/Length_of_an_arc" title="Length of an arc">Length of an arc</a> and descibe the method Fermat used.) |
[edit] Historio de la dosiero
Legend: (cur) = this is the current file, (del) = delete this old version, (rev) = revert to this old version.
Click on date to download the file or see the image uploaded on that date.
- (del) (cur) 18:00, 22 July 2005 . . en:User:Jrideout Jrideout ( en:User_talk:Jrideout Talk) . . 1350x1350 (84598 bytes) (This graph is meant to help accompany the article en:Length_of_an_arc Length of an arc and descibe the method Fermat used.)
