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F8F.F*F.)%\"uGF0F.F.*(,&*&F)F.F8F.F.*&F)F.F1F.F*F.FAF.F;F.F.\"\"!" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 45 "phi:=solve(4*sin(2*theta)-4* cos(2*theta)=0); " }{TEXT -1 62 "l'angle de la rotation qui a donn\351 son orientation a l'ellipse" }{MPLTEXT 1 0 1 " " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$phiG,$*&\"\")!\"\"%#PiG\"\"\"F*" }}}{EXCHG {PARA 0 " > " 0 "" {MPLTEXT 1 0 67 "e4:=collect(eval(simplify(subs(theta=phi,e3) )),[u,v],distributed); " }{TEXT -1 14 "l'\351quation de " }{XPPEDIT 18 0 "E;" "6#%\"EG" }{TEXT -1 72 " dans le nouveau rep\350re (obtenu p ar translation de l'origine initiale \340 " }{XPPEDIT 18 0 "Omega;" "6 #%&OmegaG" }{TEXT -1 27 " puis rotation des axes de " }{XPPEDIT 18 0 " Pi/8;" "6#*&%#PiG\"\"\"\"\")!\"\"" }{TEXT -1 11 " autour de " } {XPPEDIT 18 0 "Omega;" "6#%&OmegaG" }{TEXT -1 1 "." }}{PARA 11 "" 1 " " {XPPMATH 20 "6#>%#e4G/,(#\"#`\"\"%!\"\"*&,&\"\"$\"\"\"*&\"\"#F.F0#F. F0F.F.)%\"vGF0F.F.*&,&*&F0F.F0F1F*F-F.F.)%\"uGF0F.F.\"\"!" }}}}}{MARK "0" 0 }{VIEWOPTS 1 1 0 3 4 1802 1 1 1 1 }{PAGENUMBERS 1 1 2 33 1 1 }