{VERSION 4 0 "IBM INTEL NT" "4.0" } {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 "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 "Maple Output" -1 11 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }3 3 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "" 11 12 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }1 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "f1:= (f,g,h)->(g-h)/ f;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#f1GR6%%\"fG%\"gG%\"hG6\"6$%)o peratorG%&arrowGF**&,&9%\"\"\"9&!\"\"F19$F3F*F*F*" }}}{EXCHG {PARA 0 " > " 0 "" {MPLTEXT 1 0 25 "f2:=(f,g,h)->(g+h-2*f)/f;" }}{PARA 11 "" 1 " " {XPPMATH 20 "6#>%#f2GR6%%\"fG%\"gG%\"hG6\"6$%)operatorG%&arrowGF**&, (9%\"\"\"9&F1*&\"\"#F19$F1!\"\"F1F5F6F*F*F*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "f11:= f1(f,g,h)*a;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$f11G*&*&,&%\"gG\"\"\"%\"hG!\"\"F)%\"aGF)F)%\"fGF+" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "f12:=f1(g,h,f)*b;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$f12G*&*&,&%\"hG\"\"\"%\"fG!\"\"F)%\"bGF)F)%\"gGF+ " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "f13:=f1(h,f,g)*c;" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%$f13G*&*&,&%\"fG\"\"\"%\"gG!\"\"F)% \"cGF)F)%\"hGF+" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "f21:= f2 (f,g,h)*a;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$f21G*&*&,(%\"gG\"\"\" %\"hGF)*&\"\"#F)%\"fGF)!\"\"F)%\"aGF)F)F-F." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "f22:= f2(g,h,f)*b;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$f22G*&*&,(%\"hG\"\"\"%\"fGF)*&\"\"#F)%\"gGF)!\"\"F)%\"bGF)F)F -F." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "f23:=f2(h,f,g)*c;" } }{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$f23G*&*&,(%\"fG\"\"\"%\"gGF)*&\"\" #F)%\"hGF)!\"\"F)%\"cGF)F)F-F." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 153 "perp:= (f11*f21+f12*f22+f13*f23-(f13*f22+f12*f23)*(b^2+c^2-a^ 2)/(2*b*c)-(f11*f22+f12*f21)*(b^2+a^2-c^2)/(2*b*a)-(f13*f21+f11*f23)*( a^2+c^2-b^2)/(2*a*c));" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%%perpG,.*& *(,&%\"gG\"\"\"%\"hG!\"\"F*)%\"aG\"\"#F*,(F)F*F+F**&F/F*%\"fGF*F,F*F** $)F2F/F*F,F**&*(,&F+F*F2F,F*)%\"bGF/F*,(F+F*F2F**&F/F*F)F*F,F*F**$)F)F /F*F,F**&*(,&F2F*F)F,F*)%\"cGF/F*,(F2F*F)F**&F/F*F+F*F,F*F**$)F+F/F*F, F**&#F*F/F**&*&,&*&**F@F*FBF*F:F*F9F*F**&F+F*F)F*F,F**&**F7F*F9F*FCF*F BF*F**&F)F*F+F*F,F*F*,(*$F8F*F**$FAF*F**$F-F*F,F*F**&F9F*FBF*F,F*F,*&# F*F/F**&*&,&*&**F(F*F.F*F:F*F9F*F**&F2F*F)F*F,F**&**F7F*F9F*F0F*F.F*F* *&F)F*F2F*F,F*F*,(FSF*FUF*FTF,F*F**&F9F*F.F*F,F*F,*&#F*F/F**&*&,&*&**F @F*FBF*F0F*F.F*F**&F+F*F2F*F,F**&**F(F*F.F*FCF*FBF*F**&F2F*F+F*F,F*F*, (FUF*FTF*FSF,F*F**&F.F*FBF*F,F*F," }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "perp2:=factor(perp);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%&perp2G*&*&,(%\"fG\"\"\"%\"gGF)%\"hGF)F),:*()F(\"\"$F))F+\"\"#F)) %\"bGF1F)!\"\"*(F.F))F*F1F))%\"cGF1F)F)**)F(F1F)F0F))%\"aGF1F)F*F)F)** F:F)F6F)F;F)F+F)F4**F:F)F0F)F7F)F*F)F4**F:F)F6F)F2F)F+F)F)*(F:F)F2F))F +F/F)F)*(F:F))F*F/F)F7F)F4**F(F)F0F)F7F)F6F)F)**F(F)F6F)F2F)F0F)F4*(F; F)F6F)FAF)F4*(F;F)FCF)F0F)F)F)F)*(F:F)F6F)F0F)F4" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 30 "factor(subs(\{b=0,c=0\},perp2));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,$*&**,(%\"fG\"\"\"%\"gGF(%\"hGF(F()%\"aG\"\"#F (,&F)F(F*!\"\"F(,&*&F)F(F*F(F/*$)F'F-F(F(F(F(*(F3F(F)F(F*F(F/F/" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "11 0 0" 0 } {VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }