{VERSION 2 3 "IBM INTEL NT" "2.3" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 }{CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" 0 21 "" 0 1 0 0 0 1 0 0 0 0 2 0 0 0 0 }{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 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Maple Output" 0 11 1 {CSTYLE "" -1 -1 "" 0 1 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 }3 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "" 0 256 1 {CSTYLE "" -1 -1 "" 1 18 0 0 0 0 0 1 0 0 0 0 0 0 0 }3 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {EXCHG {PARA 256 "" 0 "" {TEXT -1 71 "PCM\nPROJECTIONS CARTOGR APHIQUES AVEC MAPLE\nUN PEU DE TRIGONOMETRIE TP 1" }}}{EXCHG {PARA 0 " > " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 80 "restart; with(plots):\nsetoptions(axes=BOXED, scaling=unconstraine d, color=blue):" }}}{EXCHG {PARA 0 "" 0 "" {MPLTEXT 0 21 31 "\nOn trav aille en radians soit :" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 40 "[0..90]= [0..Pi/2];[-180..180]=[-Pi..Pi];" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/7 #;\"\"!\"#!*7#;F&,$%#PiG#\"\"\"\"\"#" }}{PARA 11 "" 1 "" {XPPMATH 20 " 6#/7#;!$!=\"$!=7#;,$%#PiG!\"\"F+" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 36 "Pour passer des degr\351s aux radians :" }{MPLTEXT 1 0 0 "" }} {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "radian=degres*(Pi/180);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/%'radianG,$*&%'degresG\"\"\"%#PiGF(#F(\"$!= " }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 45 "On d\351finit le rapport poou r faire les calculs" }{MPLTEXT 1 0 0 "" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "pi180:=evalf(Pi/180);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%&pi 180G$\"+_#H`u\"!#6" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 36 "Pour passer des radians aux degr\351s :" }{MPLTEXT 1 0 0 "" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "degres=radian *(180/Pi);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/%'degresG,$*&%'radianG\"\"\"%#PiG!\"\"\"$!=" }}} {EXCHG {PARA 0 "" 0 "" {TEXT -1 81 "\nUNE PROJECTION EQUIVALENTE CYLIN DRIQUE SIMPLE : Y SUR LA CARTE = SIN (LATITUDE)\n" }}{PARA 0 "> " 0 " " {MPLTEXT 1 0 99 "Cylindrique_Equiv_Lambert = [ x = lambda, y = sin(p hi), `CYLINDRIQUE EQUIVALENTE DE LAMBERT 1772`];" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 96 "plot(sin(latitude*pi180), latitude=0..90, y_carte=0. .1, title=`sin entre 0..Pi/2 (0 et 90\260) `);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/%:Cylindrique_Equiv_LambertG7%/%\"xG%'lambdaG/%\"yG-%$ sinG6#%$phiG%HCYLINDRIQUE~EQUIVALENTE~DE~LAMBERT~1772G" }}{PARA 13 "" 1 "" {INLPLOT "6)-%'CURVESG6#7S7$\"\"!F(7$$\"1+++vQuh>!#:$\"1^aWP+ABM! #<7$$\"1++DJnkoOF,$\"1vz\"e9A')R'F/7$$\"1++]7vB)e&F,$\"1KWiN$eyt*F/7$$ \"1,+](e_0_(F,$\"1OR?`#=)38!#;7$$\"1***\\iq$oV%*F,$\"1'H)*[,\"yS;F?7$$ \"1+]7VsmA6!#9$\"1XI8h)4p%>F?7$$\"1+]7)R&G28FH$\"1D3pW#)*=E#F?7$$\"1+] 7ex@)\\\"FH$\"1Ta2=d=&e#F?7$$\"1+]i&zP&)o\"FH$\"123BE+e/HF?7$$\"1++]Z` I%)=FH$\"1Bz,+%p(HKF?7$$\"1++v8vtc?FH$\"1w;[&)e38NF?7$$\"1++]#Hb3D#FH$ \"1vd\"zT8#GQF?7$$\"1++]P,xXCFH$\"1[2`0N@STF?7$$\"1++]2ngLEFH$\"1QTQ:V NOWF?7$$\"1+]73.=/GFH$\"1Pc!ePc6q%F?7$$\"1++]<)3q+$FH$\"1-4M!3!f5]F?7$ $\"1+++q6$)yJFH$\"1-./qS#yE&F?7$$\"1+]789qyLFH$\"1(y:xhs5c&F?7$$\"1+++ X/ibNFH$\"1D))4]G,:eF?7$$\"1+]7j'G(\\PFH$\"1ZH?t&Qs3'F?7$$\"1+]P*elX$R FH$\"1$Qop-t*RjF?7$$\"1++DJNUFTFH$\"19z>Qxj'f'F?7$$\"1,]iDt_/VFH$\"1v/ Q*Qgd#oF?7$$\"1++v$pdb\\%FH$\"1FbD&G$elqF?7$$\"1+]7eX)Rp%FH$\"1?D*ftsj I(F?7$$\"1+](os:n'[FH$\"1$p=/)o&)3vF?7$$\"1++D@,F`]FH$\"1j45a\\()>xF?7 $$\"1*****\\1**fC&FH$\"1BE2>0GHzF?7$$\"1++DOnaMaFH$\"1@:)HVja7)F?7$$\" 1+]7.j(ph&FH$\"1eu&4x2pI)F?7$$\"1++vLK`>eFH$\"1f$f9h(\\)\\)F?7$$\"1+++ X'R:+'FH$\"1ne*)=tfh')F?7$$\"1++]P.(e>'FH$\"1#HoC')*3E))F?7$$\"1+]7GG' >P'FH$\"15FyU;Qm*)F?7$$\"1++]K%yWc'FH$\"1pv>!zi+6*F?7$$\"1+]781iXnFH$ \"1i*HlfneB*F?7$$\"1+]i&Qm\\$pFH$\"1z8'fq+vN*F?7$$\"1****\\(['3?rFH$\" 1]'GeCTlY*F?7$$\"1+]7y+*QJ(FH$\"1>M7[t5q&*F?7$$\"1+++qfa+vFH$\"15e/Z[] f'*F?7$$\"1,+vy&G9p(FH$\"1(4\")))[C.u*F?7$$\"1,]7$eI2)yFH$\"1'\\ZN9*z4 )*F?7$$\"1,++l%zY0)FH$\"1]Ez.2?k)*F?7$$\"1++v8X/a#)FH$\"1>'e*GvO:**F?7 $$\"1+++!**eBV)FH$\"1@F\"pxj4&**F?7$$\"1,]78%zCi)FH$\"11/#=a+$y**F?7$$ \"1+](o\"*[W!))FH$\"1&*H&eCwT***F?7$$\"#!*F($\"\"\"F(-%(SCALINGG6#%.UN CONSTRAINEDG-%+AXESLABELSG6$%)latitudeG%(y_carteG-%&TITLEG6#%>sin~entr e~0..Pi/2~(0~et~90|[v)~G-%'COLOURG6&%$RGBGF(F($\"*++++\"!\")-%*AXESSTY LEG6#%$BOXG-%%VIEWG6$;F(Fcz;F(Fez" 2 187 135 135 2 0 1 0 2 6 0 2 2 1.000000 45.000000 45.000000 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 9 0 0 0 0 0 0 1 }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 85 "Pour l'isoc ylindrique, le x de la carte est proportionnel \340 longitude * cos(la titude)" }{MPLTEXT 1 0 0 "" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 59 "longi tude:='longitude':titre:=`ISOCYLINDRIQUE EQUIVALENTE`:" }}{PARA 0 "" 0 "" {TEXT -1 33 "Pour une longitude de 90 degr\351s :" }{MPLTEXT 1 0 0 "" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 102 "longitude:=evalf(90*pi180): plot(longitude*cos(latitude*pi180), latitude=0..90, y_carte,title=ti tre);" }}{PARA 13 "" 1 "" {INLPLOT "6)-%'CURVESG6#7S7$\"\"!$\"1+++Fjzq :!#:7$$\"1+++vQuh>F+$\"1Z^W$pv)p:F+7$$\"1++DJnkoOF+$\"1ca-Budn:F+7$$\" 1++]7vB)e&F+$\"1k+bz4Lj:F+7$$\"1,+](e_0_(F+$\"1(\\v+I%Gd:F+7$$\"1***\\ iq$oV%*F+$\"1M<)f(y]\\:F+7$$\"1+]7VsmA6!#9$\"1(R>hbQ2a\"F+7$$\"1+]7)R& G28FH$\"1O5]zj3I:F+7$$\"1+]7ex@)\\\"FH$\"1/QqG\"*R<:F+7$$\"1+]i&zP&)o \"FH$\"1B'z([d2.:F+7$$\"1++]Z`I%)=FH$\"1&\\Y$zBh'[\"F+7$$\"1++v8vtc?FH $\"1oqiRLnq9F+7$$\"1++]#Hb3D#FH$\"1Yt@Fo8^9F+7$$\"1++]P,xXCFH$\"1<;mFV %)H9F+7$$\"1++]2ngLEFH$\"1'*[d/#fxS\"F+7$$\"1+]73.=/GFH$\"1Z#pjU#R'Q\" F+7$$\"1++]<)3q+$FH$\"1$)*HAv(Qf8F+7$$\"1+++q6$)yJFH$\"1u$\\6:x^L\"F+7 $$\"1+]789qyLFH$\"1<];o`]08F+7$$\"1+++X/ibNFH$\"1r_2fU\"zF\"F+7$$\"1+] 7j'G(\\PFH$\"1m+U'zTiC\"F+7$$\"1+]P*elX$RFH$\"1ehp\"=_Z@\"F+7$$\"1++DJ NUFTFH$\"1Ybp;!\\0=\"F+7$$\"1,]iDt_/VFH$\"1?Mwe3'z9\"F+7$$\"1++v$pdb\\ %FH$\"1>uTu:e66F+7$$\"1+]7eX)Rp%FH$\"1:u9`g[s5F+7$$\"1+](os:n'[FH$\"1D xIlWSP5F+7$$\"1++D@,F`]FH$\"1*QIu!Rd%)**!#;7$$\"1*****\\1**fC&FH$\"1pj [h>5r&*F^t7$$\"1++DOnaMaFH$\"1c!Q\")H=h:*F^t7$$\"1+]7.j(ph&FH$\"1heFH$\"1jd*>$)*[y#)F^t7$$\"1+++X'R:+'FH$\"1IaDPeK]y F^t7$$\"1++]P.(e>'FH$\"1#)*>'>mV%Q(F^t7$$\"1+]7GG'>P'FH$\"1U$pgS@\\&pF ^t7$$\"1++]K%yWc'FH$\"1=(\\s'f%yZ'F^t7$$\"1+]781iXnFH$\"1'QwA&zEAgF^t7 $$\"1+]i&Qm\\$pFH$\"1aW`?6jRbF^t7$$\"1****\\(['3?rFH$\"1,\"[GC8>1&F^t7 $$\"1+]7y+*QJ(FH$\"1AOENS8cXF^t7$$\"1+++qfa+vFH$\"1)*)f-BuS1%F^t7$$\"1 ,+vy&G9p(FH$\"1rgw&p:kb$F^t7$$\"1,]7$eI2)yFH$\"1e$Q.Ch!\\IF^t7$$\"1,++ l%zY0)FH$\"1]Ki!z2*zDF^t7$$\"1++v8X/a#)FH$\"1ups?nIR?F^t7$$\"1+++!**eB V)FH$\"1tu%4_vOb\"F^t7$$\"1,]78%zCi)FH$\"13)e%)QXU.\"F^t7$$\"1+](o\"*[ W!))FH$\"1*p62?.,O&!#<7$$\"#!*F($!1\\;^w2U;!)!#F-%(SCALINGG6#%.UNCONST RAINEDG-%+AXESLABELSG6$%)latitudeG%(y_carteG-%&TITLEG6#%;ISOCYLINDRIQU E~EQUIVALENTEG-%'COLOURG6&%$RGBGF(F($\"*++++\"!\")-%*AXESSTYLEG6#%$BOX G-%%VIEWG6$;F(Fez%(DEFAULTG" 2 177 96 96 2 0 1 0 2 6 0 2 2 1.000000 45.000000 45.000000 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 52 0 0 0 0 0 0 1 }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 54 "Pour Mercator - con forme - c'est un peu plus compliqu\351" }{MPLTEXT 1 0 0 "" }}{PARA 0 " > " 0 "" {MPLTEXT 1 0 93 "Mercator=[x=lambda, y=ln(tan(Pi/4+phi/2)), ` CYLINDRIQUE MODIFIEE CONFORME DE MERCATOR 1511`];" }}{PARA 0 "> " 0 " " {MPLTEXT 1 0 0 "" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}{PARA 11 " " 1 "" {XPPMATH 20 "6#/%)MercatorG7%/%\"xG%'lambdaG/%\"yG-%#lnG6#-%$ta nG6#,&%#PiG#\"\"\"\"\"%%$phiG#F4\"\"#%OCYLINDRIQUE~MODIFIEE~CONFORME~D E~MERCATOR~1511G" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 135 "longit ude:=evalf(90*pi180):plot(ln(tan(1/4*Pi+1/2*latitude*pi180)), latitud e=0..90, y_carte,title=`MERCATOR`, scaling=unconstrained);" }}{PARA 13 "" 1 "" {INLPLOT "6)-%'CURVESG6#7U7$\"\"!$!1d^iCIA56!#J7$$\"1+++vQu h>!#:$\"1#))Hy8eXU$!#<7$$\"1+++JnkoOF/$\"1DK!4:wtS'F27$$\"1+++8vB)e&F/ $\"1iUg!p9)o(*F27$$\"1+++)e_0_(F/$\"1.1U#RpjJ\"!#;7$$\"1+++1PoV%*F/$\" 10$G#)oZdl\"FB7$$\"1+++VsmA6!#9$\"1:Ac\\Q3s>FB7$$\"1+++)R&G28FK$\"1C&> Gs,n\\LFB7$$\"1+++9vtc?FK$\"1xc\">.e$pO FB7$$\"1+++$Hb3D#FK$\"1&G8>+8O.%FB7$$\"1+++Q,xXCFK$\"1lZ1dza/WFB7$$\"1 +++3ngLEFK$\"1ssX#>![nZFB7$$\"1+++3.=/GFK$\"1N'>^r(=-^FB7$$\"1+++=)3q+ $FK$\"1\\%)yO:>2bFB7$$\"1+++q6$)yJFK$\"1,g8RC\"o&eFB7$$\"1+++89qyLFK$ \"1)y]'>%)zriFB7$$\"1+++X/ibNFK$\"1G,Iz,GZmFB7$$\"1+++j'G(\\PFK$\"1MFA _Z\"*oqFB7$$\"1+++*elX$RFK$\"1^+H2'>2[(FB7$$\"1+++JNUFTFK$\"1nojE9=AzF B7$$\"1+++Et_/VFK$\"1vW#))y9#R$)FB7$$\"1+++%pdb\\%FK$\"1\"F/7$$\"1+++MK`>eFK $\"1cbxf;hb7F/7$$\"1+++X'R:+'FK$\"1P\"R&fa\\<8F/7$$\"1+++Q.(e>'FK$\"1L H3YP'FK$\"1V'Q^?,[X\"F/7$$\"1*****HVyWc'FK$\"1%fh pq4M`\"F/7$$\"1+++81iXnFK$\"1NY,@a*Gh\"F/7$$\"1,++'Qm\\$pFK$\"1bFbpZt- F/7 $$\"1+++qfa+vFK$\"1Lieew&z-#F/7$$\"1******y&G9p(FK$\"1:<)p'H\\l@F/7$$ \"1+++$eI2)yFK$\"1_Hjtc#HK#F/7$$\"1+++l%zY0)FK$\"1XYC*>[F\\#F/7$$\"1++ +9X/a#)FK$\"1E]ypWYIFF/7$$\"+_u_)FK$\"1bS:[%ox=$F/7$$\"1,++8%zCi)FK$\"1`9? \\tb7MF/7$$\"1,++<*[W!))FK$\"12_t8ciqSF/7$%%FAILGFb[l-%(SCALINGG6#%.UN CONSTRAINEDG-%+AXESLABELSG6$%)latitudeG%(y_carteG-%&TITLEG6#%)MERCATOR G-%'COLOURG6&%$RGBGF(F($\"*++++\"Fiy-%*AXESSTYLEG6#%$BOXG-%%VIEWG6$;F( $\"#!*F(%(DEFAULTG" 2 216 130 130 2 0 1 0 2 6 0 2 2 1.000000 45.000000 45.000000 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 3007 0 0 0 0 0 1 }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}} {EXCHG {PARA 11 "" 1 "" {TEXT -1 64 "UTILISATION DES FONCTIONS DE CHAN GEMENT DE COORDONNEES DE MAPLE\n" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 18 "On donne le chemin" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 113 "libname: =`C:\\\\PROGRAM FILES\\\\MAPLEV4/update`, `C:\\\\PROGRAM FILES\\\\MAPL EV4/lib`, `C:\\\\PROGRAM FILES\\\\MAPLEV4/pcm`:" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 19 "On charge le module" }{MPLTEXT 1 0 0 "" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "readlib(addcoords):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 62 "pi4:=evalf(Pi/4):longitude:='longitude': latitud e:='latitude':" }}{PARA 0 "" 0 "" {TEXT -1 29 "On d\351finit le nouvea u syst\350me" }{MPLTEXT 1 0 0 "" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 100 "addcoords (Mercator, [longitude, latitude], [longitude*pi180, ln(tan( pi4 + 0.5*(latitude*pi180)))]);" }}}{EXCHG {PARA 11 "" 1 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 56 "Plot en cart\351sien entre 0 et 90 \260 (transform\351 en radian)" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 51 "plot(x*pi180, x=0..90, y_carte, title=`cart\351sien`);" }} {PARA 13 "" 1 "" {INLPLOT "6)-%'CURVESG6#7S7$\"\"!F(7$$\"1+++vQuh>!#:$ \"1J$p*p*))QU$!#<7$$\"1++DJnkoOF,$\"12[Ibk*HS'F/7$$\"1++]7vB)e&F,$\"1m **o(R9Lv*F/7$$\"1,+](e_0_(F,$\"1/o@USe78!#;7$$\"1***\\iq$oV%*F,$\"1!R: >uL#[;F?7$$\"1+]7VsmA6!#9$\"1e#)ozRUf>F?7$$\"1+]7)R&G28FH$\"1G+1YMk\"G #F?7$$\"1+]7ex@)\\\"FH$\"1B97zK)[h#F?7$$\"1+]i&zP&)o\"FH$\"15>\"ySaq%H F?7$$\"1++]Z`I%)=FH$\"1vSe$[GRF?7$$\"1++]P,xXCFH$\"17okkTnoUF?7$$\"1++]2ngL EFH$\"1eJ'[#3^'f%F?7$$\"1+]73.=/GFH$\"1OHl>z@%*[F?7$$\"1++]<)3q+$FH$\" 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