File:Intercept theorem vectors.svg
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Size of this PNG preview of this SVG file: 714 × 219 pixels. Other resolutions: 320 × 98 pixels | 640 × 196 pixels | 1,024 × 314 pixels | 1,280 × 393 pixels | 2,560 × 785 pixels.
Original file (SVG file, nominally 714 × 219 pixels, file size: 41 KB)
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Summary[edit]
| Description |
English: Displays a vector parallelogram and its relation to the intercept theorem |
| Date | |
| Source | Own work |
| Author | Qef |
| Other versions | Original bitmap version: en:File:Intercept theorem vectors.png |
| SVG development | |
| Source code | PostScript codeprologues := 3;
input boxes
beginfig(1);
pickup pencircle scaled 1pt;
pair va, vb;
va = (100mm,0); vb = (10mm,30mm);
numeric p;
p = 2/5;
z0 = (0,0); % corners of main box
z1 = z0 + va;
z2 = z0 + vb;
z3 = z0 + va + vb;
ahlength:=ahlength*1.3;
drawarrow z0--p[z0,z1]; drawarrow p[z0,z1]--z1;
drawarrow z0--p[z0,z2]; drawarrow p[z0,z2]--z2;
drawarrow z0--p[z0,z3]; drawarrow p[z0,z3]--z3;
linecap:=butt;
draw z1--z3 dashed evenly scaled 2;
draw z2--z3 dashed evenly scaled 2;
draw p[z0,z1]--p[z2,z3] dashed evenly scaled 2;
draw p[z0,z2]--p[z1,z3] dashed evenly scaled 2;
dotlabel.bot(btex$ \vec a $etex, p[z0,z1]);
dotlabel.bot(btex$ \lambda \cdot \vec a $etex, z1);
dotlabel.lft(btex$ \vec b $etex, p[z0,z2]);
dotlabel.lft(btex$ \lambda \cdot \vec b $etex, z2);
label.rt(btex$ \|\vec b\| $etex, .5[p[z0,z1], p[z0,z3]]);
label.top(btex$ \|\vec a\| $etex, .5[p[z0,z2], p[z0,z3]]);
label.ulft(btex$ \vec a + \vec b $etex, p[z0,z3]);
label.top(btex$ |\lambda| \cdot \|\vec a\| $etex, p[z2,z3]);
label.rt(btex$ |\lambda| \cdot \|\vec b\| $etex, p[z1,z3]);
label.urt(btex$ \lambda \cdot (\vec a + \vec b) $etex, z3);
endfig;
end
Datampost fig.mp
ps2pdf -dEPSCrop fig.1 fig.pdf
pstoedit -page 1 -dt -xscale 2 -yscale 2 -f sk fig.pdf fig.sk
inkscape -z --vacuum-defs -f fig.sk -l fig.svg
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Licensing[edit]
|
This work has been released into the public domain by its author, Qef. This applies worldwide. In some countries this may not be legally possible; if so: |
File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 20:23, 21 June 2009 | | 714 × 219 (41 KB) | Qef (talk | contribs) | {{Information |Description={{en|1=Displays a vector parallelogram and its relation to the intercept theorem}} |Source=Own work by uploader |Author=Qef |Date=2009-06-21 |Permission= |other_versions=Original bitmap version: [[:en:File:Intercept |
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