Bicentric Quadrilateral NEW

Uttryck 39: "x" Subscript, 1 , Baseline equals "x" Subscript, 0 , Baseline plus left parenthesis, "x" Subscript, 3 , Baseline minus "x" Subscript, 0 , Baseline , right parenthesis "t" Subscript, 1 , Baseline

Uttryck 40: "y" Subscript, 1 , Baseline equals "y" Subscript, 0 , Baseline plus left parenthesis, "y" Subscript, 3 , Baseline minus "y" Subscript, 0 , Baseline , right parenthesis "t" Subscript, 1 , Baseline

( x₂ , y₂ ) ( x₃ , y₃ ) ( x₄ ; y₄ )

Uttryck 42: "A" Subscript, 1 , Baseline equals "x" Subscript, 0 , Baseline

Uttryck 43: "A" Subscript, 2 , Baseline equals "y" Subscript, 0 , Baseline

Uttryck 44: "a" Subscript, 1 , Baseline equals "y" Subscript, 0 , Baseline minus "y" Subscript, 3 , Baseline

Uttryck 45: "a" Subscript, 2 , Baseline equals "x" Subscript, 3 , Baseline minus "x" Subscript, 0 , Baseline

Uttryck 46: "A" equals "a" squared plus "a" squared

Uttryck 47: "B" equals 2 left parenthesis, "A" Subscript, 1 , Baseline "a" Subscript, 1 , Baseline plus "A" Subscript, 2 , Baseline "a" Subscript, 2 , Baseline minus "h" "a" Subscript, 1 , Baseline minus "v" "a" Subscript, 2 , Baseline , right parenthesis

Uttryck 48: "C" equals "A" squared plus "A" squared minus 2 "A" Subscript, 2 , Baseline "v" minus 2 "A" Subscript, 1 , Baseline "h" plus "h" squared plus "v" squared minus "r" squared

Uttryck 49: "t" Subscript, 3 , Baseline equals StartFraction, negative "B" minus StartRoot, "B" squared minus 4 "A" "C" , EndRoot Over 2 "A" , EndFraction

Uttryck 50: "t" Subscript, 4 , Baseline equals StartFraction, negative "B" plus StartRoot, "B" squared minus 4 "A" "C" , EndRoot Over 2 "A" , EndFraction

Uttryck 51: "x" Subscript, 2 , Baseline equals "x" Subscript, 0 , Baseline minus left parenthesis, "y" Subscript, 3 , Baseline minus "y" Subscript, 0 , Baseline , right parenthesis "t" Subscript, 3 , Baseline

Uttryck 52: "y" Subscript, 2 , Baseline equals "y" Subscript, 0 , Baseline plus left parenthesis, "x" Subscript, 3 , Baseline minus "x" Subscript, 0 , Baseline , right parenthesis "t" Subscript, 3 , Baseline

Uttryck 53: "x" Subscript, 3 , Baseline equals "h" plus left parenthesis, "r" cos phi , right parenthesis

Uttryck 54: "y" Subscript, 3 , Baseline equals "v" plus left parenthesis, "r" sin phi , right parenthesis

Uttryck 55: "x" Subscript, 4 , Baseline equals "x" Subscript, 0 , Baseline minus left parenthesis, "y" Subscript, 3 , Baseline minus "y" Subscript, 0 , Baseline , right parenthesis "t" Subscript, 4 , Baseline

Uttryck 56: "y" Subscript, 4 , Baseline equals "y" Subscript, 0 , Baseline plus left parenthesis, "x" Subscript, 3 , Baseline minus "x" Subscript, 0 , Baseline , right parenthesis "t" Subscript, 4 , Baseline

Vertices ( Coordinates )

Uttryck 58: "T" left parenthesis, "x" Subscript, 01 , Baseline , "y" Subscript, 01 , Baseline , "x" Subscript, 02 , Baseline , "y" Subscript, 02 , Baseline , right parenthesis equals StartFraction, "v" "y" Subscript, 02 , Baseline plus "x" squared minus "h" "x" Subscript, 01 , Baseline plus "y" squared minus "v" "y" Subscript, 01 , Baseline minus "x" Subscript, 02 , Baseline "x" Subscript, 01 , Baseline plus "h" "x" Subscript, 02 , Baseline minus "y" Subscript, 01 , Baseline "y" Subscript, 02 , Baseline Over "v" "h" minus "x" Subscript, 01 , Baseline "y" Subscript, 02 , Baseline plus "x" Subscript, 01 , Baseline "v" plus "h" "y" Subscript, 02 , Baseline minus "h" "v" plus "y" Subscript, 01 , Baseline "x" Subscript, 02 , Baseline minus "y" Subscript, 01 , Baseline "h" minus "v" "x" Subscript, 02 , Baseline , EndFraction

Uttryck 59: "t" Subscript, 5 , Baseline equals "T" left parenthesis, "x" Subscript, 1 , Baseline , "y" Subscript, 1 , Baseline , "x" Subscript, 2 , Baseline , "y" Subscript, 2 , Baseline , right parenthesis

Uttryck 60: "t" Subscript, 6 , Baseline equals "T" left parenthesis, "x" Subscript, 2 , Baseline , "y" Subscript, 2 , Baseline , "x" Subscript, 3 , Baseline , "y" Subscript, 3 , Baseline , right parenthesis

Uttryck 61: "t" Subscript, 7 , Baseline equals "T" left parenthesis, "x" Subscript, 3 , Baseline , "y" Subscript, 3 , Baseline , "x" Subscript, 4 , Baseline , "y" Subscript, 4 , Baseline , right parenthesis

Uttryck 62: "t" Subscript, 8 , Baseline equals "T" left parenthesis, "x" Subscript, 4 , Baseline , "y" Subscript, 4 , Baseline , "x" Subscript, 1 , Baseline , "y" Subscript, 1 , Baseline , right parenthesis

Uttryck 63: "t" Subscript, 9 , Baseline equals StartFraction, "v" "X" Subscript, 5 , Baseline minus "y" Subscript, 1 , Baseline "X" Subscript, 5 , Baseline plus "x" Subscript, 1 , Baseline "Y" Subscript, 5 , Baseline minus "h" "Y" Subscript, 5 , Baseline minus "v" "X" Subscript, 6 , Baseline plus "y" Subscript, 1 , Baseline "X" Subscript, 6 , Baseline minus "x" Subscript, 1 , Baseline "Y" Subscript, 6 , Baseline plus "h" "Y" Subscript, 6 , Baseline Over "v" "h" minus "v" "x" Subscript, 2 , Baseline plus "y" Subscript, 1 , Baseline "x" Subscript, 2 , Baseline minus "y" Subscript, 1 , Baseline "h" minus "x" Subscript, 1 , Baseline "y" Subscript, 2 , Baseline plus "x" Subscript, 1 , Baseline "v" plus "h" "y" Subscript, 2 , Baseline minus "h" "v" , EndFraction

Uttryck 64: "X" Subscript, 1 , Baseline equals "x" Subscript, 2 , Baseline minus left parenthesis, "y" Subscript, 2 , Baseline minus "v" , right parenthesis "t" Subscript, 5 , Baseline

Uttryck 65: "Y" Subscript, 1 , Baseline equals "y" Subscript, 2 , Baseline plus left parenthesis, "x" Subscript, 2 , Baseline minus "h" , right parenthesis "t" Subscript, 5 , Baseline

Uttryck 66: "X" Subscript, 2 , Baseline equals "x" Subscript, 3 , Baseline minus left parenthesis, "y" Subscript, 3 , Baseline minus "v" , right parenthesis "t" Subscript, 6 , Baseline

Uttryck 67: "Y" Subscript, 2 , Baseline equals "y" Subscript, 3 , Baseline plus left parenthesis, "x" Subscript, 3 , Baseline minus "h" , right parenthesis "t" Subscript, 6 , Baseline

Uttryck 68: "X" Subscript, 3 , Baseline equals "x" Subscript, 4 , Baseline minus left parenthesis, "y" Subscript, 4 , Baseline minus "v" , right parenthesis "t" Subscript, 7 , Baseline

Uttryck 69: "Y" Subscript, 3 , Baseline equals "y" Subscript, 4 , Baseline plus left parenthesis, "x" Subscript, 4 , Baseline minus "h" , right parenthesis "t" Subscript, 7 , Baseline

Uttryck 70: "X" Subscript, 4 , Baseline equals "x" Subscript, 1 , Baseline minus left parenthesis, "y" Subscript, 1 , Baseline minus "v" , right parenthesis "t" Subscript, 8 , Baseline

Uttryck 71: "Y" Subscript, 4 , Baseline equals "y" Subscript, 1 , Baseline plus left parenthesis, "x" Subscript, 1 , Baseline minus "h" , right parenthesis "t" Subscript, 8 , Baseline

Uttryck 72: "X" Subscript, 5 , Baseline equals StartFraction, "X" Subscript, 4 , Baseline plus "X" Subscript, 1 , Baseline Over 2 , EndFraction

Uttryck 73: "Y" Subscript, 5 , Baseline equals StartFraction, "Y" Subscript, 4 , Baseline plus "Y" Subscript, 1 , Baseline Over 2 , EndFraction

Uttryck 74: "X" Subscript, 6 , Baseline equals StartFraction, "X" Subscript, 1 , Baseline plus "X" Subscript, 2 , Baseline Over 2 , EndFraction

Uttryck 75: "Y" Subscript, 6 , Baseline equals StartFraction, "Y" Subscript, 1 , Baseline plus "Y" Subscript, 2 , Baseline Over 2 , EndFraction

Uttryck 76: "X" Subscript, 7 , Baseline equals "X" Subscript, 6 , Baseline minus left parenthesis, "x" Subscript, 2 , Baseline minus "h" , right parenthesis "t" Subscript, 9 , Baseline

Uttryck 77: "Y" Subscript, 7 , Baseline equals "Y" Subscript, 6 , Baseline minus left parenthesis, "y" Subscript, 2 , Baseline minus "v" , right parenthesis "t" Subscript, 9 , Baseline

Points

100

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