File:Trisected perimeter point 3-4-5.svg
Size of this PNG preview of this SVG file: 540 × 421 pixels. Other resolutions: 308 × 240 pixels | 616 × 480 pixels | 985 × 768 pixels | 1,280 × 998 pixels | 2,560 × 1,996 pixels.
Original file (SVG file, nominally 540 × 421 pixels, file size: 2 KB)
 | 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 | The trisected perimeter point of a 3-4-5 right triangle. | ||
| Date | |||
| Source | Own work | ||
| Author | David Eppstein | ||
| Permission (Reusing this file) |
|
Source code
This diagram was created as a pdf file by the following Python code, then recolored and labeled in Adobe Illustrator and converted to SVG.
from pyx import canvas,path,color
def meet(p,q):
return [p[i-1]*q[i]-q[i-1]*p[i] for i in [2,0,1]]
def sign(p,r,q):
L = meet(p,q)
return sum(L[i]*r[i] for i in [0,1,2])
A = [0,3,1]
B = [0,0,1]
C = [4,0,1]
lo = 0
hi = 3
for i in range(40):
x = (lo + hi) / 2.0
AP = [4-x,0,1]
BP = [4-0.8*(4-x),0.6*(4-x),1]
CP = [0,x,1]
if sign(meet(A,AP),meet(B,BP),meet(C,CP)) < 0:
hi = x
else:
lo = x
c = canvas.canvas()
def line(p,q):
c.stroke(path.line(p[0],p[1],q[0],q[1]),[color.rgb.black])
for p,q in [(A,B),(A,C),(B,C),(A,AP),(B,BP),(C,CP)]:
line(p,q)
c.writePDFfile("Trisected perimeter point 3-4-5")
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 00:37, 22 April 2008 | | 540 × 421 (2 KB) | David Eppstein | {{Information |Description=The trisected perimeter point of a 3-4-5 right triangle. |Source=self-made |Date=April 21, 2008 |Author= David Eppstein |Permission={{PD-self}} |other_versions= }} ==Sou |
File usage
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Global file usage
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- Usage on id.wikipedia.org
- Usage on pt.wikipedia.org
