Expression 7: "E" equals StartFraction, 1 Over left parenthesis, "X" minus "x" Subscript, 1 , Baseline , right parenthesis squared plus "Y" squared , EndFractionE=1X−x12+Y2
equals=
11
7
Expression 8: "A" equals left brace, left parenthesis, "X" minus "x" Subscript, 1 , Baseline , right parenthesis greater than or equal to 0 : StartFraction, 180 Over pi , EndFraction tan to the negative 1st power left parenthesis, StartFraction, "Y" Over left parenthesis, "X" minus "x" Subscript, 1 , Baseline , right parenthesis , EndFraction , right parenthesis , 180 plus StartFraction, 180 Over pi , EndFraction tan to the negative 1st power left parenthesis, StartFraction, "Y" Over left parenthesis, "X" minus "x" Subscript, 1 , Baseline , right parenthesis , EndFraction , right parenthesis , right braceA=X−x1≥0:180πtan−1YX−x1,180+180πtan−1YX−x1
equals=
9090
8
Expression 9: left parenthesis, "X" plus "t" cos left parenthesis, StartFraction, pi times "A" Over 180 , EndFraction , right parenthesis , "Y" plus "t" sin left parenthesis, StartFraction, pi times "A" Over 180 , EndFraction , right parenthesis , right parenthesisX+tcosπ·A180,Y+tsinπ·A180
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: "E"E
9
Expression 10: left parenthesis, "X" plus "E" cos left parenthesis, StartFraction, pi times "A" Over 180 , EndFraction , right parenthesis minus "t" cos left parenthesis, StartFraction, pi times left parenthesis, "A" minus 20 , right parenthesis Over 180 , EndFraction , right parenthesis , "Y" plus "E" sin left parenthesis, StartFraction, pi times "A" Over 180 , EndFraction , right parenthesis minus "t" sin left parenthesis, StartFraction, pi times left parenthesis, "A" minus 20 , right parenthesis Over 180 , EndFraction , right parenthesis , right parenthesisX+Ecosπ·A180−tcosπ·A−20180,Y+Esinπ·A180−tsinπ·A−20180
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 0.2 left parenthesis, 1 minus "e" Superscript, negative "E" , Baseline , right parenthesis0.21−e−E
10
Expression 11: left parenthesis, "X" plus "E" cos left parenthesis, StartFraction, pi times "A" Over 180 , EndFraction , right parenthesis minus "t" cos left parenthesis, StartFraction, pi times left parenthesis, "A" plus 20 , right parenthesis Over 180 , EndFraction , right parenthesis , "Y" plus "E" sin left parenthesis, StartFraction, pi times "A" Over 180 , EndFraction , right parenthesis minus "t" sin left parenthesis, StartFraction, pi times left parenthesis, "A" plus 20 , right parenthesis Over 180 , EndFraction , right parenthesis , right parenthesisX+Ecosπ·A180−tcosπ·A+20180,Y+Esinπ·A180−tsinπ·A+20180
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 0.2 left parenthesis, 1 minus "e" Superscript, negative "E" , Baseline , right parenthesis0.21−e−E
11
Expression 12: left brace, negative 1 less than "x" less than 1 : 0 , right brace−1<x<1:0