{VERSION 6 0 "IBM INTEL NT" "6.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 1 }{PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Error " -1 8 1 {CSTYLE "" -1 -1 "Courier" 1 10 255 0 255 1 2 2 2 2 2 1 1 1 3 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Plot" 0 13 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }3 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 36 "resyart:with(plottoo ls):with(plots):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 675 "a:=1:c :=1:b:=sqrt(2.):\nA:=[a,0]:\nM:=[a+b*cos(t),b*sin(t)]:\nN:=[-a+b*cos(t ),b*sin(t)]:\nB:=[-a,0]:\nP:=0.5*(M+N):\nu:=[1/sqrt((op(1,M)+a)**2+op( 2,M)**2)*(op(1,M)+a),1/sqrt((op(1,M)+a)**2+op(2,M)**2)*op(2,M)]:\nv:=[ -u[2],u[1]]:\nX:=(N[1]+a)*u[1]+N[2]*u[2]:\nY:=(N[1]+a)*v[1]+N[2]*v[2]: \nNN:=[X*op(1,u)-Y*op(1,v)-a,X*op(2,u)-Y*op(2,v)]:\nPP:=0.5*(M+NN):\nf igbase:=circle([0,0],b,color=red),circle([-a,0],b,color=blue),circle([ a,0],b,color=blue),plot([op(PP),t=0..2*Pi],color=red):\nn:=40:\nt:=k*2 *Pi/n:\nbielles:=seq(plot([[P],[PP],[M,N],[M,NN]],color=black,style=[p oint$2,line$2],symbol=circle),k=0..n-1):\ndisplay([figbase,display(bie lles,insequence=true)],axes=none,scaling=constrained);\n" }}{PARA 8 " " 1 "" {TEXT -1 359 "Error, (in plot) incorrect first argument [.5*(1. 414213562*cos(1/20*k*Pi)/((2+1.414213562*cos(1/20*k*Pi))^2+1.999999999 *sin(1/20*k*Pi)^2)^(1/2)*(2+1.414213562*cos(1/20*k*Pi))+1.999999999*si n(1/20*k*Pi)^2/((2+1.414213562*cos(1/20*k*Pi))^2+1.999999999*sin(1/20* k*Pi)^2)^(1/2))/((2+1.414213562*cos(1/20*k*Pi))^2+1.999999999*sin(1/20 *k*Pi)^2)^(1/2)*(2+1.41421...\n" }}{PARA 8 "" 1 "" {TEXT -1 83 "Error, (in plots:-display) cannot make plot structure from object with name \+ circle\n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 651 "restart:with(p lottools):with(plots):\na:=1:c:=1:b:=sqrt(2):\nA:=[a,0]:\nM:=[a+b*cos( t),b*sin(t)]:\nN:=[-a+b*cos(t),b*sin(t)]:\nB:=[-a,0]:\nP:=0.5*(M+N):\n u:=[1/sqrt((op(1,M)+a)**2+op(2,M)**2)*(op(1,M)+a),1/sqrt((op(1,M)+a)** 2+op(2,M)**2)*op(2,M)]:\nv:=[-u[2],u[1]]:\nX:=(N[1]+a)*u[1]+N[2]*u[2]: \nY:=(N[1]+a)*v[1]+N[2]*v[2]:\nNN:=[X*op(1,u)-Y*op(1,v)-a,X*op(2,u)-Y* op(2,v)]:\nPP:=0.5*(M+NN):\nfigbase:=circle([-a,0],b,color=blue),circl e([a,0],b,color=blue),plot([op(PP),t=0..2*Pi],color=red):\nn:=40:\nt:= k*2*Pi/n:\nbielles:=seq(plot([[PP],[M,NN]],color=black,style=[point,li ne],symbol=circle),k=0..n-1):\ndisplay([figbase,display(bielles,insequ ence=true)],axes=none);\n" }}{PARA 13 "" 1 "" {GLPLOT2D 417 351 351 {PLOTDATA 2 "6&-%(ANIMATEG6J7)-%'CURVESG6&7#7$$\"+iN@99!\"*$\"\"!F0-%& STYLEG6#%&POINTG-%'COLOURG6&%$RGBGF/F/F/-%'SYMBOLG6#%'CIRCLEG-F(6&7$7$ $\"+iN@9CF.F/7$$\"+?c8UT!#5F/-F26#%%LINEGF5F9-%+AXESLABELSG6$Q!6\"FM-% %VIEWG6$%(DEFAULTGFR-F(6$7U7$$\"*iN@9%F.F/7$$\"*m?1.%F.$\"+(ezCx\"FF7$ $\"*UMyp$F.$\"+9h+t\"4$F.$\"+6!e4o*FF7$$!*#\\ja)* FF$\"+y-n*3\"F.7$$!+&zkAU#FF$\"+.+1%>\"F.7$$!+6:dyRFF$\"+*o='z7F.7$$!+ l(R)HcFF$\"+Cq*\\M\"F.7$$!+U!G+N(FF$\"+_R;*Q\"F.7$$!+hz+7\"*FF$\"+NHU6 9F.7$$!+/#*z)3\"F.F]r7$$!+'>(*\\E\"F.Fhq7$$!+Cg,P9F.Fcq7$$!+[G9-;F.F^q 7$$!+?NxdF.Fdp7$$!+?t\"4.#F.$\"+(*z&4o*FF7$$!+1G7W@F.$ \"+T(QDJ)FF7$$!+#z%GRAF.$\"+#yDI\"oFF7$$!+;D!\\J#F.$\"+Qt11_FF7$$!+VMy pBF.$\"+-h+,e!#>7$F[u$ !+!fzCx\"FF7$$!+UMypBF.$!+9h+Nxd\"F.7$$!+ZG9-;F.$!+*o='z7F.7$$!+Bg,P9F.$!+Cq*\\M\"F.7$$!+&>(*\\E \"F.$!+_R;*Q\"F.7$$!+.#*z)3\"F.$!+NHU69F.7$$!+]z+7\"*FFFex7$$!+J!G+N(F FF`x7$$!+`(R)HcFF$!+Bq*\\M\"F.7$$!+8:dyRFFFfw7$$!+'zkAU#FF$!+.+1%>\"F. 7$Fbp$!+y-n*3\"F.7$$\")@t\"4$F.$!+$*z&4o*FF7$$\"*2G7W\"F.$!+N(QDJ)FF7$ $\"*#z%GR#F.$!+yd-8oFF7$$\"*t\"4.#F.F_p7$$\"+^OX,>F.Fdp7$$\"+?Nxd(*\\E\"F.Fhq7$$\"+/#*z)3\"F.F]r7$$ \"+bz+7\"*FFF]r7$$\"+O!G+N(FFFhq7$$\"+f(R)HcFFFcq7$$\"+=:dyRFFF^q7$$\" +-[EACFFFip7$$\"*'\\ja)*FFFdp7$$!)?t\"4$F.Fds7$$!*1G7W\"F.Fis7$$!*#z%G R#F.F^t7$$!*;D!\\JF.Fct7$$!*VMyp$F.Fht7$$!*m?1.%F.F]u7$$!*iN@9%F.Fbu7$ F[alFfu7$$!*UMyp$F.F[v7$Fe`lF^v7$$!*\"z%GR#F.Fcv7$F_`lFfv7$F\\`lFiv7$$ \"*/NY&)*FFF\\w7$$\"+7[EACFFFaw7$$\"+G:dyRFFFfw7$$\"+q(R)HcFFF[x7$$\"+ [!G+N(FFF`x7$$\"+nz+7\"*FFFex7$$\"+0#*z)3\"F.Fex7$$\"+(>(*\\E\"F.F`x7$ $\"+Dg,P9F.F`y7$F^^lFfw7$F[^lFhy7$Fh]lF[z7$$\"+@t\"4.#F.F`z7$$\"+2G7W@ F.Fez7$$\"+#z%GRAF.Fjz7$$\"+!#;7$$\"0)[#y\"\\#GT\"F_el$\"0a\"HId&eh$Feel7$$\"0s$\\wF*4T\"F_el$ \"0\")zD--=]&Feel7$$\"0xsx\\$Q39F_el$\"0$eKw@o#R(Feel7$$\"0v-q1F]S\"F_ el$\"0'Rm4=Xk#*Feel7$$\"0I[%)4T7S\"F_el$\"0/XNub))4\"!#:7$$\"0@[\"H3k' R\"F_el$\"065)o<,w7F_gl7$$\"0s%zX'f6R\"F_el$\"0o3N#*GvX\"F_gl7$$\"00P] #*o\\Q\"F_el$\"0E#\\xA]O;F_gl7$$\"0z_cr\\yP\"F_el$\"0$fkOzH==F_gl7$$\" 04-Cd`4P\"F_el$\"06#fVQGw>F_gl7$$\"0G#=uf\\i8F_el$\"0=%=Q#3::#F_gl7$$ \"0nYc&=F`8F_el$\"0#yNaTSCBF_gl7$$\"0+mTG(pV8F_el$\"0F0#[`*y[#F_gl7$$ \"0ve$prUM8F_el$\"0(o&o:7Nj#F_gl7$$\"0\"F_el$\"0Zq$f!p!=SF_gl7$$\"0'Gigc%>=\"F_el$\"0. 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