File:Envelope cast.svg
From Wikimedia Commons, the free media repository
Jump to navigation
Jump to search
Size of this PNG preview of this SVG file: 600 × 480 pixels. Other resolutions: 300 × 240 pixels | 960 × 768 pixels | 1,280 × 1,024 pixels | 2,560 × 2,048 pixels.
Original file (SVG file, nominally 600 × 480 pixels, file size: 117 KB)
File information
Structured data
Captions
Summary
[edit]DescriptionEnvelope cast.svg |
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 InfoField | |
Source code InfoField | 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
[edit]I, the copyright holder of this work, hereby publish it under the following license:
This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.
- You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
File history
Click on a date/time to view the file as it appeared at that time.
Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 00:08, 28 January 2018 | 600 × 480 (117 KB) | Perhelion (talk | contribs) | + 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 (talk | contribs) | 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 (talk | contribs) | change fonts; replace hyphens | ||
06:55, 20 November 2014 | 600 × 480 (838 KB) | IkamusumeFan (talk | contribs) | User created page with UploadWizard |
You cannot overwrite this file.
File usage on Commons
The following 6 pages use this file:
File usage on other wikis
The following other wikis use this file:
- Usage on da.wikipedia.org
- Usage on en.wikipedia.org
- Usage on es.wikipedia.org
- Usage on no.wikipedia.org
- Usage on ta.wikipedia.org
Metadata
This file contains additional information such as Exif metadata which may have been added by the digital camera, scanner, or software program used to create or digitize it. If the file has been modified from its original state, some details such as the timestamp may not fully reflect those of the original file. The timestamp is only as accurate as the clock in the camera, and it may be completely wrong.
Width | 600 |
---|---|
Height | 480 |