Avaldis 3: "g" left parenthesis, "x" , "y" , right parenthesis equals StartRoot, "x" squared plus "y" squared , EndRootgx,y=x2+y2
3
Avaldis 4: alpha left parenthesis, "x" Subscript, 2 , Baseline , "y" Subscript, 2 , Baseline , "x" Subscript, 1 , Baseline , "y" Subscript, 1 , Baseline , right parenthesis equals left parenthesis, StartFraction, 1 plus StartNestedFraction, "y" Subscript, 1 , Baseline minus "y" Subscript, 2 , Baseline NestedOver StartAbsoluteValue, "y" Subscript, 1 , Baseline minus "y" Subscript, 2 , Baseline , EndAbsoluteValue , EndNestedFraction Over 2 , EndFraction , right parenthesis left parenthesis, left parenthesis, StartFraction, left parenthesis, 1 plus StartNestedFraction, StartAbsoluteValue, beta tan to the negative 1st power left parenthesis, StartNestedFraction, "y" Subscript, 2 , Baseline minus "y" Subscript, 1 , Baseline NestedOver "x" Subscript, 2 , Baseline minus "x" Subscript, 1 , Baseline , EndNestedFraction , right parenthesis , EndAbsoluteValue NestedOver beta tan to the negative 1st power left parenthesis, StartNestedFraction, "y" Subscript, 2 , Baseline minus "y" Subscript, 1 , Baseline NestedOver "x" Subscript, 2 , Baseline minus "x" Subscript, 1 , Baseline , EndNestedFraction , right parenthesis , EndNestedFraction , right parenthesis Over 2 , EndFraction , right parenthesis left parenthesis, beta tan to the negative 1st power left parenthesis, StartFraction, "y" Subscript, 2 , Baseline minus "y" Subscript, 1 , Baseline Over "x" Subscript, 2 , Baseline minus "x" Subscript, 1 , Baseline , EndFraction , right parenthesis , right parenthesis plus left parenthesis, left parenthesis, 180 plus left parenthesis, beta tan to the negative 1st power left parenthesis, StartFraction, "y" Subscript, 2 , Baseline minus "y" Subscript, 1 , Baseline Over "x" Subscript, 2 , Baseline minus "x" Subscript, 1 , Baseline , EndFraction , right parenthesis , right parenthesis , right parenthesis minus left parenthesis, 180 plus left parenthesis, beta tan to the negative 1st power left parenthesis, StartFraction, "y" Subscript, 2 , Baseline minus "y" Subscript, 1 , Baseline Over "x" Subscript, 2 , Baseline minus "x" Subscript, 1 , Baseline , EndFraction , right parenthesis , right parenthesis , right parenthesis left parenthesis, StartFraction, left parenthesis, 1 plus StartNestedFraction, StartAbsoluteValue, beta left parenthesis, StartNestedFraction, "y" Subscript, 2 , Baseline minus "y" Subscript, 1 , Baseline NestedOver "x" Subscript, 2 , Baseline minus "x" Subscript, 1 , Baseline , EndNestedFraction , right parenthesis , EndAbsoluteValue NestedOver beta left parenthesis, StartNestedFraction, "y" Subscript, 2 , Baseline minus "y" Subscript, 1 , Baseline NestedOver "x" Subscript, 2 , Baseline minus "x" Subscript, 1 , Baseline , EndNestedFraction , right parenthesis , EndNestedFraction , right parenthesis Over 2 , EndFraction , right parenthesis , right parenthesis , right parenthesis plus left parenthesis, 180 plus left parenthesis, StartFraction, left parenthesis, 1 plus StartNestedFraction, StartAbsoluteValue, beta left parenthesis, StartNestedFraction, "y" Subscript, 2 , Baseline minus "y" Subscript, 1 , Baseline NestedOver "x" Subscript, 2 , Baseline minus "x" Subscript, 1 , Baseline , EndNestedFraction , right parenthesis , EndAbsoluteValue NestedOver beta left parenthesis, StartNestedFraction, "y" Subscript, 2 , Baseline minus "y" Subscript, 1 , Baseline NestedOver "x" Subscript, 2 , Baseline minus "x" Subscript, 1 , Baseline , EndNestedFraction , right parenthesis , EndNestedFraction , right parenthesis Over 2 , EndFraction , right parenthesis left parenthesis, beta tan to the negative 1st power left parenthesis, StartFraction, "y" Subscript, 2 , Baseline minus "y" Subscript, 1 , Baseline Over "x" Subscript, 2 , Baseline minus "x" Subscript, 1 , Baseline , EndFraction , right parenthesis , right parenthesis plus left parenthesis, left parenthesis, 180 plus left parenthesis, beta tan to the negative 1st power left parenthesis, StartFraction, "y" Subscript, 2 , Baseline minus "y" Subscript, 1 , Baseline Over "x" Subscript, 2 , Baseline minus "x" Subscript, 1 , Baseline , EndFraction , right parenthesis , right parenthesis , right parenthesis minus left parenthesis, 180 plus left parenthesis, beta tan to the negative 1st power left parenthesis, StartFraction, "y" Subscript, 2 , Baseline minus "y" Subscript, 1 , Baseline Over "x" Subscript, 2 , Baseline minus "x" Subscript, 1 , Baseline , EndFraction , right parenthesis , right parenthesis , right parenthesis left parenthesis, StartFraction, left parenthesis, 1 plus StartNestedFraction, StartAbsoluteValue, beta tan to the negative 1st power left parenthesis, StartNestedFraction, "y" Subscript, 2 , Baseline minus "y" Subscript, 1 , Baseline NestedOver "x" Subscript, 2 , Baseline minus "x" Subscript, 1 , Baseline , EndNestedFraction , right parenthesis , EndAbsoluteValue NestedOver beta tan to the negative 1st power left parenthesis, StartNestedFraction, "y" Subscript, 2 , Baseline minus "y" Subscript, 1 , Baseline NestedOver "x" Subscript, 2 , Baseline minus "x" Subscript, 1 , Baseline , EndNestedFraction , right parenthesis , EndNestedFraction , right parenthesis Over 2 , EndFraction , right parenthesis , right parenthesis minus left parenthesis, StartFraction, 1 plus StartNestedFraction, "y" Subscript, 1 , Baseline minus "y" Subscript, 2 , Baseline NestedOver StartAbsoluteValue, "y" Subscript, 1 , Baseline minus "y" Subscript, 2 , Baseline , EndAbsoluteValue , EndNestedFraction Over 2 , EndFraction , right parenthesis left parenthesis, 180 plus left parenthesis, StartFraction, left parenthesis, 1 plus StartNestedFraction, StartAbsoluteValue, beta tan to the negative 1st power left parenthesis, StartNestedFraction, "y" Subscript, 2 , Baseline minus "y" Subscript, 1 , Baseline NestedOver "x" Subscript, 2 , Baseline minus "x" Subscript, 1 , Baseline , EndNestedFraction , right parenthesis , EndAbsoluteValue NestedOver beta tan to the negative 1st power left parenthesis, StartNestedFraction, "y" Subscript, 2 , Baseline minus "y" Subscript, 1 , Baseline NestedOver "x" Subscript, 2 , Baseline minus "x" Subscript, 1 , Baseline , EndNestedFraction , right parenthesis , EndNestedFraction , right parenthesis Over 2 , EndFraction , right parenthesis left parenthesis, beta tan to the negative 1st power left parenthesis, StartFraction, "y" Subscript, 2 , Baseline minus "y" Subscript, 1 , Baseline Over "x" Subscript, 2 , Baseline minus "x" Subscript, 1 , Baseline , EndFraction , right parenthesis , right parenthesis plus left parenthesis, left parenthesis, 180 plus left parenthesis, beta tan to the negative 1st power left parenthesis, StartFraction, "y" Subscript, 2 , Baseline minus "y" Subscript, 1 , Baseline Over "x" Subscript, 2 , Baseline minus "x" Subscript, 1 , Baseline , EndFraction , right parenthesis , right parenthesis , right parenthesis minus left parenthesis, 180 plus left parenthesis, beta tan to the negative 1st power left parenthesis, StartFraction, "y" Subscript, 2 , Baseline minus "y" Subscript, 1 , Baseline Over "x" Subscript, 2 , Baseline minus "x" Subscript, 1 , Baseline , EndFraction , right parenthesis , right parenthesis , right parenthesis left parenthesis, StartFraction, left parenthesis, 1 plus StartNestedFraction, StartAbsoluteValue, beta tan to the negative 1st power left parenthesis, StartNestedFraction, "y" Subscript, 2 , Baseline minus "y" Subscript, 1 , Baseline NestedOver "x" Subscript, 2 , Baseline minus "x" Subscript, 1 , Baseline , EndNestedFraction , right parenthesis , EndAbsoluteValue NestedOver beta tan to the negative 1st power left parenthesis, StartNestedFraction, "y" Subscript, 2 , Baseline minus "y" Subscript, 1 , Baseline NestedOver "x" Subscript, 2 , Baseline minus "x" Subscript, 1 , Baseline , EndNestedFraction , right parenthesis , EndNestedFraction , right parenthesis Over 2 , EndFraction , right parenthesis , right parenthesis , right parenthesis , right parenthesisαx2,y2,x1,y1=1+y1−y2y1−y221+βtan−1y2−y1x2−x1βtan−1y2−y1x2−x12βtan−1y2−y1x2−x1+180+βtan−1y2−y1x2−x1−180+βtan−1y2−y1x2−x11+βy2−y1x2−x1βy2−y1x2−x12+180+1+βy2−y1x2−x1βy2−y1x2−x12βtan−1y2−y1x2−x1+180+βtan−1y2−y1x2−x1−180+βtan−1y2−y1x2−x11+βtan−1y2−y1x2−x1βtan−1y2−y1x2−x12−1+y1−y2y1−y22180+1+βtan−1y2−y1x2−x1βtan−1y2−y1x2−x12βtan−1y2−y1x2−x1+180+βtan−1y2−y1x2−x1−180+βtan−1y2−y1x2−x11+βtan−1y2−y1x2−x1βtan−1y2−y1x2−x12
4
Avaldis 5: "a" equals 0a=0
00
360360
5
Avaldis 6: beta equals StartFraction, 45 Over tan to the negative 1st power left parenthesis, 1 , right parenthesis , EndFractionβ=45tan−11
