File:Haberdasher's puzzle.svg
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DescriptionHaberdasher's puzzle.svg |
English: Haberdasher's puzzle, SVG created with a text editor
Deutsch: Haberdasher's puzzle, SVG erstellt mit einem Texteditor |
Date | |
Source | Own work |
Author | pd4u |
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current | 17:20, 8 February 2018 | 3,680 × 3,520 (4 KB) | Pd4u (talk | contribs) | SVG errors removed | |
11:57, 21 January 2018 | 3,680 × 3,520 (4 KB) | Pd4u (talk | contribs) | SVG title tag added | ||
11:55, 21 January 2018 | 3,680 × 3,520 (4 KB) | Pd4u (talk | contribs) | added description | ||
17:15, 19 January 2018 | 3,680 × 3,520 (5 KB) | Pd4u (talk | contribs) | == {{int:filedesc}} == {{Information |Description ={{en|1=Haberdasher's puzzle, created with a text editor}} {{de|1=Haberdasher's puzzle erstellt mit einem Texteditor}} |Source ={{own}} |Author =User:pd4u |Date =201801... |
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Short title | Haberdasher's puzzle |
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Image title | Dreiecksberechnungen
390 780 1560 2340 1351(=7*193) 2702 Seitenlaenge: a (= 4 * 780 = 3120) a/4 = 780 a/2 = 1560 a*3/4 = 2340 a*sqrt(3)= 5404 a*sqrt(3)/2 = 2702 a*sqrt(3)/3 = 1801.333 a*sqrt(3)/4 = 1351 Hoehe: h=sqrt(3)*a/2 (=2702) Koordinaten der Eckpunkte: A (0,0) B(3120,0) C(1560,2702)=(a/2,h)=(a/2,sqrt(3)*a/2) Annaeherung von sqrt(3): 1351/780 = 1.732051282051282 sqrt(3) = 1,732050807568877 1351*1351/780/780 = 3,00000164365549 Umkreisradius: ru = h*2/3 = sqrt(3)*a/3 (=1801.3333) Inkreisradius: ri = ru/2 (=900.6667) Mittelpunkt: (A+B+C)/3 = (a/2,a*sqrt(3)/6) Koordinaten der Seitenmittelpunkte: D = (A+C)/2 = (a/4,sqrt(3)*a/4) = (780,1351) E = (B+C)/2 = (a*3/4,sqrt(3)*a/4) = (2340,1351) F = (A+B)/4 = (a/4,0) = (780,0) G = (A+B)*3/4 = (a*3/4,0) = (2340,0) E-F = (a/2,a*sqrt(3)/4) = (1560,1351) (H-D)*(E-F)=0 HF parallel EF hx = a*13/28 hy = a*3*sqrt(3)/28 H = (1448.571428571429,579) (I-G)*(E-F)=0 IF parallel EF ix = a*15/28 = 1671,428571428571 iy = a*sqrt(3)/7 = 772I = (1671.428571428571,772) |
Width | 3680 |
Height | 3520 |