Full text: K - P (4. Band)

298 
Polygon. 
Polygon. 
6. Fur das Zehneck ist 
* = * ft = 36° 
y = \R = 144° 
s = 2r • sin 18° 
S = 2r • tg 18° 
r = £s • cosec 18' 
r = 1 .S • coi 18° 
J = 5r 2 • sin 36 0 
J = £s 2 . coi 18° 
J' = 10 r 2 • ip 18° 
= 0,618 0340 X r 
= 0,649 8394 X r 
= 1,618 0340 X s 
= 1,538 8417 X S 
= 2,938 9265 xr 2 
= 7,694 2087 X s 2 
= 3,249 1970 X r 2 
= 7,694 2087 X S 3 
J' = $S 3 -cot 18' 
7. Fur das Zwolfeck ist 
* = £ft = 30° 
y = $ft = 150° 
s = 2r • sin 15° 
S = 2ft • tg 15° 
r = £s • cosec 15' 
r = • cot 15° 
J = 6r 2 • sin 30° 
J = 3s 2 • cot 15° 
J' = 12r* • tg 15° 
«/’ - 3S* • cot 15° 
= 0,517 6380 X r 
= 0,535 8984 X r 
= 1,931 8522 X s 
= 1,866 0254 X S 
= 3,000 0000 X r 2 
= 11,196 1524 X s 2 
= 3,215 3904 X r* 
= 11,196 1524 X S* 
8. Fur das Funfzehneck ist 
z = ft — 24° 
y = «ft = 156° 
s = 2r • sin 12° 
S= 2r • tg 12° 
r = £s • cosec 12° 
r = }S • col 12° 
J = Air 1 • sin 24 c 
J = ±As* • cot 12 c 
J’ = 15r* • fp 12° 
J’ = IAS 1 ■ cot 12' 
= 0,415 8234 X r 
= 0,425 1130 X r 
= 2,404 8671 X s 
= 2,352 3150 xS 
= 3,050 5245 X r 1 
= 17,642 3629 X s 1 
= 3,188 3475 X r 1 
= 17,642 3629 xS s 
9. Fur das Sechzehneck ist 
s = ift = 22° 30' 
y = iR = 157° 30' 
t = 2r • sin 11° 15' = 0,312 8690 X r 
S — 2r • tg 11° 15' = 0,316 7688 X r 
r =• ¿s • cosec 11° 15'= 3,196 2266 Xs 
r = ±S • cot 11° 15' = 3,156 8757 xS 
J= 8r* • sin 22° 30' = 3,090 1700 X r 1 
J - 4s 1 • cot 11° 15' = 31,568 7570 X s* 
J 7 = 16r* • tg 11° 15’ = 3,167 6880 X r 1 
J’ = 4S 1 • cot 11° 15’ = 31,568 7570 X S 1 
10. Fiir das Zwanzigeck ist 
* = ¿ft = 18° 
t/ = |ft = 162° 
s = 2r • sin 9° = 0,212 8690 X r 
S= 2r • tgd° = 0,316 7688 X r 
r =■ \ s • cosec 9° = 3,196 2266 X * 
r = ^ S • cot 9° 
J = lOr 1 • sin 18' 
/ = 5s’ • cot 9° 
J' = 20r* • tg 9° 
J' = 5S 1 • cot 9° 
= 3,156 8757 X S 
= 3,090 1700 X »•* 
= 31,568 7570 Xs 1 
= 3,167 6880 xr> 
= 31,568 7570 XS 1 
11. Fiir das Vierundzwanzigeck ist 
i = |A= 15° 
y = AAR = 165° 
s = 2r • sin 7° 30° = 0,261 1124 Xr 
S = 2r • tg 7° 30' = 0,263 3050 X r 
r = £s • coscc 7° 20’ = 3,829 7683 X s 
r = %S • cot 7° 30’ = 3,797 8770 X S 
J= 12r* . sin 15° = 3,105 8280 xr* 
J = 6s* • cot 7° 30' = 45,574 5246 X s* 
J' = 24r* • tg 7° 30' = 3,159 6600 X r* 
J’ — 6S* • cot 7° 30’ = 45,574 5246 XS* 
12. Fiir das Fiinfundzwanzigeck ist 
s = 0,16ft = 14° 24' 
y= 1,84ft = 165° 36' 
s = 2r • sin 7° 12’ = 0,250 6664 X r 
S=2r • tg 7° 12’ = 0,252 6588 X r 
r = £s • cosec 7° 12’ = 3,989 3664 X s 
r = $S • con 0 12' = 3,957 9075 X S 
J = 12,5r*.sin 14°24'= 3,108 6237 Xr 
J = 6,25s* • cot 7° 12' = 49,473 8444 X s* 
J’ = 25r* • ip 7° 12' = 3,158 2350 X r* 
J' = 6,25 S* • cot 7° 12’ = 49,473 8444 X S* 
13. Fiir das Dreifsigeck ist 
s = T * 5 ft = 12° 
y = Hft= 168° 
s = 2r * sin 6° 
2r • tg 6° 
r = Is • cosec 6° 
r = £ <S • cot 6° 
J = 15r* • sin 12° 
./ = 7,5 s* • cot 6° 
J' = 30r* . ip 6° 
J' = 7,5 S* • cot 6° 
= 0,209 0570 X r 
= 0,210 2084 X r 
= 4,783 3833 X s 
= 4,757 1822 X S 
= 3,118 6755 X r* 
= 71,357 7337 Xs* 
= 3,153 1260 xr* 
= 71,357 7337 XS* 
14. Fiir das Zweiunddreifsigeck ist 
* = 0,125ft = 11° 15' 
y = 1,875 ft = 168° 45' 
s = 2r • sin 5° 37' 30” = 0,196 0343 X r 
S = 2r • tg 5° 37’ 30” = 0,196 9829 X r 
r =£s*cosec5°37'30”= 5,101 1594 X s 
r = -j- iS • cot 5° 37'30” = 5,076 5850 X S 
J = 16r* • sin 11° 15' = 3,121 4448 X r> 
J = 8s*.cot5°37'30” = 81,225 3600 Xs* 
J' = 32r* • fp 5° 37'30” = 3,151 7264 X r* 
J' = 8S*> co{5°37’30''= 81,225 3600 xS*
	        
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