{VERSION 2 3 "APPLE_68K_MAC" "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 "" -1 256 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 } {CSTYLE "" -1 257 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 258 "" 0 1 0 0 0 0 0 1 0 0 0 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 "" 0 256 1 {CSTYLE "" -1 -1 "" 0 1 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 37 "From Three Dimensions to Two and Back" }}{PARA 0 "" 0 "" {TEXT -1 113 "\nThe cell below illust rates how Maple can be used to find the shadow produced by an object l ocated at the point " }}{PARA 0 "" 0 "" {TEXT 256 13 "P = (2, 1, 1)" }{TEXT -1 54 " illuminated by a light source located at the point " }{TEXT 257 15 "S = (1, -2, 8)." }{TEXT -1 4 " " }{TEXT 258 15 "Eval uate it now" }{TEXT -1 1 "." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 95 "P := [2, 1, 1]:\nS := [1, -2 , 8]:\n\nanswer := solve(evalm(S[3] + t * (P[3] - S[3]) = 0), \{t\}); \+ " }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 106 "[subs(answer, S[1] + t * (P[ 1] - S[1])), subs(answer, S[2] + t * (P[2] - S [2]))]; " }}}}{MARK "1 0 0" 0 }{VIEWOPTS 1 1 0 1 1 1803 }