French
DeutschFile:Envelope cast.svg
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Original file (SVG file, nominally 600 × 480 pixels, file size: 117 KB)
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Summary
| Description | English: Envelope of the trajectories of the cast projectiles with constant initial speed |
| Date | |
| Source | Own work |
| Author | IkamusumeFan (slightly fix by JoKalliauer) |
| SVG development | |
| Source code | Gnuplot code#!/usr/bin/gnuplot #Gnuplot 5.0+ set term svg font 'Helvetica, 24' set output 'envelope_cast.svg' # In this program, the envelope equation is y = (v^2)/(2g) - (ĝ^2)/(2v^2). We take g = 10, v = 10. # The cast trajectory curve family is y = x tan \theta -(ĝ^2)/(2v^2 cos^2\theta) g = 10; v = 10; # n is the number of the trajectories n = 101; set multiplot set samples 1000 set xrange [-11:11] set yrange [0:5] set xtics 2 set ytics 1 set xzeroaxis lt -1 lc rgb "black" lw 1 set yzeroaxis lt -1 lc rgb "black" lw 1 unset label # Draw the trajectories of the cast objects. set key off #theta = pi/n*i; # The following uses the fact 1/cos^2(theta) = tan(theta)*tan(theta)+1. plot for [i=1:n-1] x*tan(pi/n*i)-(g*x*x)*(tan(pi/n*i)*tan(pi/n*i)+1)/(2*v*v) lc rgb "red" lw 1; unset multiplot set term x11 set output |
Licensing
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File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 00:08, 28 January 2018 | | 600 × 480 (117 KB) | Perhelion | + again middle line // Editing SVG source code using User:Rillke/SVGedit.js; upload handled by User:Rillke/MwJSBot.js |
| 23:56, 27 January 2018 |  | 600 × 480 (117 KB) | Perhelion | cleanup code (on request, some code was duplicated 100 times) SVG valid now | |
| 19:14, 27 January 2018 |  | 600 × 480 (1.2 MB) | Shiyu Ji | change fonts; replace hyphens | |
| 06:55, 20 November 2014 |  | 600 × 480 (838 KB) | IkamusumeFan | User created page with UploadWizard |
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