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{SECT 0 {EXCHG {PARA 0 "" 0 "" {TEXT -1 37 "Pyramide mit rechteckiger \+
Grundfl\344che" }}{PARA 0 "" 0 "" {TEXT -1 64 "Grundfl\344chenkanten  \+
a, b und Pyramidenkante s werden vorgegeben," }}{PARA 0 "" 0 "" {TEXT 
-1 6 "H\366he h" }}{PARA 0 "" 0 "" {TEXT -1 46 "H\366hen der dreieckig
en Seitenfl\344chen  h_a,  h_b" }}{PARA 0 "" 0 "" {TEXT -1 27 "Diagona
le der Grundfl\344che d" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "a:=2: b:
=2: s:=4:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "d:=sqrt(a^2+b^
2 ):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "h:=sqrt(s^2-(d/2)^2
):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 31 "h_b:=sqrt(s^2-(b/2)^2
):        " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 31 "h_a:=sqrt(s^2
-(a/2)^2):        " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "Oberf
l:=b*h_b+a*h_a+a*b:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 29 "Ober
flaeche:=evalf(Oberfl,5):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
22 "h1:=sqrt(h^2+(a/2)^2):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
22 "Seitenfl_a:=1/2*a*h_a:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
22 "Seitenfl_b:=1/2*b*h_b:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
18 "grad:=x->180*x/Pi:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "b
ogen:=x->Pi*x/180:" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 39 "Winkel zwis
chen Kante s  und Grundseite" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 48 " al
pha:=evalf(  grad(  arccos( a/(2*s) ) )  ,4):" }}}{EXCHG {PARA 0 "" 0 
"" {TEXT -1 40 "Winkel zwischen Kante s  und Grundfl\344che" }}{PARA 
0 "> " 0 "" {MPLTEXT 1 0 45 " gam:=evalf(  grad(  arctan(2*h/(d) ) )  \+
,4):" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 42 "Winkel zwischen gegen\374
berliegenden Kanten " }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 52 "beta:=2*eva
lf(  grad(  arcsin(  d/(2*s)    ) )  ,4):" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 28 "Volumen:=evalf(1/3*a*b*h,8):" }}}{EXCHG {PARA 0 "" 
0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 37 "Pyramide mit rechtec
kiger Grundfl\344che" }}{PARA 0 "" 0 "" {TEXT -1 64 "Grundfl\344chenka
nten  a, b und Pyramidenh\366he h  werden vorgegeben," }}{PARA 0 "" 0 
"" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 46 "H\366hen der dreieckig
en Seitenfl\344chen  h_a,  h_b" }}{PARA 0 "" 0 "" {TEXT -1 27 "Diagona
le der Grundfl\344che d" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "restart:
\na:=3: b:=3: h:=2:" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "d:=sqrt(a^2+
b^2 ):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "s:=sqrt(h^2+(d/2)
^2):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 50 "h_a:=sqrt(s^2-(a/2)
^2): \nh_b:=sqrt(s^2-(b/2)^2):  " }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 22 "Seitenfl_a:=1/2*a*h_a:" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 22 "Seitenfl_b:=1/2*b*h_b:" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 43 "Oberflaeche:=2*(Seitenfl_a+Seitenfl_b)+a*b:" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "evalf(Oberflaeche,5):" }}}
{EXCHG {PARA 0 "" 0 "" {TEXT -1 39 "\nPyramide mit quadratischer Grund
fl\344che" }}{PARA 0 "" 0 "" {TEXT -1 60 "Grundfl\344chenkante  a  und
 Seitenh\366he h_a  werden vorgegeben," }}{PARA 0 "" 0 "" {TEXT -1 30 
"Diagonale der Grundfl\344che d\n  " }{MPLTEXT 1 0 25 "restart:\na:=4:
  h_a:=9/2:" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "d:=a*sqrt(2):" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "h:=sqrt(h_a^2-(a/2)^2):" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "Seitenfl_a:=1/2*a*h_a:" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 32 "Oberflaeche:=4*(Seitenfl_a)+
a^2:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "evalf(Oberflaeche,5
):" }}}}{MARK "2 0 0" 21 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }
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