{VERSION 5 0 "IBM INTEL NT" "5.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 1 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 1 }{CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 1 } {PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Text Output" -1 2 1 {CSTYLE "" -1 -1 "Courier" 1 10 0 0 255 1 0 0 0 0 0 1 3 0 3 0 }1 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Heading 1" 0 3 1 {CSTYLE "" -1 -1 "" 1 18 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }1 0 0 0 8 4 0 0 0 0 0 0 -1 0 } {PSTYLE "Heading 2" 3 4 1 {CSTYLE "" -1 -1 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 0 0 -1 8 2 0 0 0 0 0 0 -1 0 }{PSTYLE "Heading 3" 4 5 1 {CSTYLE "" -1 -1 "" 1 12 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }0 0 0 -1 0 0 0 0 0 0 0 0 -1 0 }{PSTYLE "Warning" 2 7 1 {CSTYLE "" -1 -1 "" 0 1 0 0 255 1 0 0 0 0 0 0 1 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "M aple Output" 0 11 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 3 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Maple Plot" 0 13 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Title" 0 18 1 {CSTYLE "" -1 -1 "" 1 18 0 0 0 0 0 1 1 0 0 0 0 0 0 0 }3 0 0 -1 12 12 0 0 0 0 0 0 19 0 }} {SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}{PARA 7 "" 1 "" {TEXT -1 50 "Warning, the name changecoords has been redefined\n" }}} {EXCHG {PARA 18 "" 0 "" {TEXT -1 53 "Roues en arcs de paraboles et de \+ campyles d'Eudoxe " }}}{SECT 0 {PARA 4 "" 0 "" {TEXT -1 28 " Roues e n arcs de paraboles " }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 551 "res tart:\nwith(plots):\n# ========= nombre de branches======\nL:=2*tan(Pi /N/2): # la projection sur Ox de d'un arc de route\nb:=Pi/N:h:=1.2/(1+ cos(b)):\n# ==================================\n# arcs de cercles de r ayon 1 de longueur 2*Pi/N\nroute:=proc(t) global h,L: local m: m:=fl oor((t+b)/(2*Pi/N)):\n m*L+ tan(t/2-m*Pi/N) +I*(h-1/(1+cos(t-m*P i*2/N))); end:\nroue:=proc(X,u) \n display([seq( complexplot(X+I*h +exp(I*(t-u+2*i*b))/(cos(t)+1),t=-b..b,\n numpoints= 10),\n i=0..N-1)], color=blue,scaling=constrained):\n end :" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 78 "#complexplot(route(t),t=-b..3* b,color=maroon,filled=true,scaling=constrained);" }}{PARA 7 "" 1 "" {TEXT -1 50 "Warning, the name changecoords has been redefined\n" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{SECT 0 {PARA 5 "" 0 "" {TEXT -1 18 " roue anim\351e seule" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 6 "N:=3; " }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 637 "# q nbre de frames par arc ; p nbre de tours de roue\n# donc N*p arcs pour la \+ route\nq:=5:p:=2;#nbre de tours de roues\nplotsetup(inline): \ndispla y([complexplot(route(t),t=-b..(p-1)*N*b,color=maroon),#,filled=true\n \+ display([seq(roue(Re(route(-b+i*2*b/q/N)),Pi/2-b+i*2*b/q/N), \n i=0..p*q*N)],insequence=true), \n display([seq(pointp lot([Re(route(-b+i*2*b/q/N)),h],symbol=circle,color=black),\n \+ 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de tours de roues\n L1:=p*2*b*N:H:=h*0.6: hsol:=h-H/2-1:\nLc: =L*2: \ncamion:=[[dep-1,H/2+hsol],[dep+2*Lc,H/2+hsol],[dep+2*Lc,H/2+H+ hsol],\n [dep+Lc,2.5*H+hsol],[dep-1,2.5*H+hsol]]:#+0.5 en haut eur pour N<3\n\nplotsetup(inline): \ndisplay([complexplot(route(t),t= -b..(p*N+2)*b,filled=true,color=maroon),\n ## changer \351vent uellement (p+1)*N*b\ndisplay([seq(roue(Re(route(-b+i*2*b/q/N)),Pi/2-b+ i*2*b/q/N),i=0..p*q*N)],insequence=true), \n display([seq(roue (Re(route(-b+i*2*b/q/N+5*b)),\n Pi/2-b+5*b+i*2*b/q/N), i=0..p*q*N)],insequence=true), #5*b au lieu de 3\n display([se q(pointplot([[Re(route(-b+i*2*b/q/N)),h],\n \+ [Re(route(-b+i*2*b/q/N)+5*L/2),h]],\n symbol=ci rcle,color=black),i=0..p*q*N)],insequence=true),\n display([se q(polygonplot(subs(dep=Re(route(k*2*b/q/N)-L),camion),\n \+ color=COLOR(RGB,0.8,1,0.8)),k=0..p*q*N)],insequence=true)], \+ scaling=constrained,axes=none);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#> %\"NG\"\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"pG\"\"$" }}{PARA 13 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