Expression 35: StartFraction, "b" Subscript, 1 , Baseline Over "x" , EndFraction equals left parenthesis, "a" Subscript, 1 , Baseline , right parenthesis squared minus 2 "a" Subscript, 1 , Baseline "y"b1x=a12−2a1y
35
Expression 36: StartFraction, "b" Subscript, 2 , Baseline Over "x" , EndFraction equals "a" squared minus 2 "a" Subscript, 2 , Baseline "y"b2x=a22−2a2y
36
Showing the lines above will have an intersection of (A, h_1) Those values can also be solved algebraically.
37
Expression 38: "y" equals "A" left parenthesis, "x" minus "h" Subscript, 1 , Baseline , right parenthesis squared minus "A" times "h" squaredy=Ax−h12−A·h21
38
Expression 39: "h" Subscript, 1 , Baseline equals StartFraction, "b" Subscript, 2 , Baseline "a" squared minus "b" Subscript, 1 , Baseline left parenthesis, "a" Subscript, 2 , Baseline , right parenthesis squared Over 2 "a" Subscript, 1 , Baseline "b" Subscript, 2 , Baseline minus 2 "a" Subscript, 2 , Baseline "b" Subscript, 1 , Baseline , EndFractionh1=b2a21−b1a222a1b2−2a2b1
equals=
negative 1.1 3 3 3 5 3 0 2 5 6 5−1.13335302565
39
Expression 40: "A" equals left parenthesis, StartFraction, "b" Subscript, 2 , Baseline Over "a" squared minus 2 "a" Subscript, 2 , Baseline "h" Subscript, 1 , Baseline , EndFraction , right parenthesisA=b2a22−2a2h1