Expression 4: "X" left parenthesis, "t" , right parenthesis equals left brace, 0 less than "t" less than 1 : "R" "t" , 1 less than "t" less than 1 plus "t" Subscript, 0 , Baseline : "R" cos left parenthesis, "t" minus 1 , right parenthesis , 1 plus "t" Subscript, 0 , Baseline less than "t" less than 2 plus "t" Subscript, 0 , Baseline : left parenthesis, "t" minus 1 minus "t" Subscript, 0 , Baseline , right parenthesis "R" cos "t" Subscript, 0 , Baseline , right braceXt=0<t<1:Rt,1<t<1+t0:Rcost−1,1+t0<t<2+t0:t−1−t0Rcost0
4
Expression 5: "Y" left parenthesis, "t" , right parenthesis equals left brace, 0 less than "t" less than 1 : 0 , 1 less than "t" less than 1 plus "t" Subscript, 0 , Baseline : "R" sin left parenthesis, "t" minus 1 , right parenthesis , 1 plus "t" Subscript, 0 , Baseline less than "t" less than 2 plus "t" Subscript, 0 , Baseline : left parenthesis, "t" minus 1 minus "t" Subscript, 0 , Baseline , right parenthesis "R" sin "t" Subscript, 0 , Baseline , right braceYt=0<t<1:0,1<t<1+t0:Rsint−1,1+t0<t<2+t0:t−1−t0Rsint0
5
Expression 6: left parenthesis, "x" Subscript, 1 , Baseline plus "X" left parenthesis, "t" , right parenthesis , "y" Subscript, 1 , Baseline plus "Y" left parenthesis, "t" , right parenthesis , right parenthesisx1+Xt,y1+Yt
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 2 plus "t" Subscript, 0 , Baseline2+t0