4 Points and A Tangent Demo

นิพจน์ 30: "r" equals negative StartFraction, "a" Subscript, 5 , Baseline "a" Subscript, 3 , Baseline Over "h" , EndFraction minus StartFraction, "b" Subscript, 5 , Baseline "b" Subscript, 3 , Baseline Over "h" , EndFraction minus StartFraction, "c" Subscript, 5 , Baseline "c" Subscript, 3 , Baseline Over "h" , EndFraction

นิพจน์ 31: "s" equals StartFraction, "a" Subscript, 5 , Baseline "a" Subscript, 2 , Baseline Over "g" , EndFraction plus StartFraction, "b" Subscript, 5 , Baseline "b" Subscript, 2 , Baseline Over "g" , EndFraction plus StartFraction, "c" Subscript, 5 , Baseline "c" Subscript, 2 , Baseline Over "g" , EndFraction

นิพจน์ 32: "u" equals negative StartFraction, "a" Subscript, 5 , Baseline "a" Subscript, 1 , Baseline Over "f" , EndFraction minus StartFraction, "b" Subscript, 5 , Baseline "b" Subscript, 1 , Baseline Over "f" , EndFraction minus StartFraction, "c" Subscript, 5 , Baseline "c" Subscript, 1 , Baseline Over "f" , EndFraction

นิพจน์ 33: "r" "x" "y" plus "s" "x" plus "u" "y" equals 0

นิพจน์ 34: left parenthesis, "r" plus "s" , right parenthesis "x" plus left parenthesis, "r" plus "u" , right parenthesis "y" plus left parenthesis, "s" plus "u" , right parenthesis equals 0

นิพจน์ 35: alpha Subscript, 1 , Baseline equals "r" plus "s"

นิพจน์ 36: alpha Subscript, 2 , Baseline equals "r" plus "u"

นิพจน์ 37: alpha Subscript, 3 , Baseline equals "s" plus "u"

นิพจน์ 38: beta Subscript, 1 , Baseline equals negative "s" alpha Subscript, 1 , Baseline alpha Subscript, 3 , Baseline

นิพจน์ 39: beta Subscript, 2 , Baseline equals "r" alpha squared minus "s" alpha Subscript, 2 , Baseline alpha Subscript, 3 , Baseline minus "u" alpha Subscript, 1 , Baseline alpha Subscript, 3 , Baseline

นิพจน์ 40: beta Subscript, 3 , Baseline equals negative "u" alpha Subscript, 2 , Baseline alpha Subscript, 3 , Baseline

นิพจน์ 41: phi Subscript, 1 , Baseline equals negative alpha Subscript, 3 , Baseline beta Subscript, 2 , Baseline plus alpha Subscript, 3 , Baseline StartRoot, beta squared minus 4 beta Subscript, 1 , Baseline beta Subscript, 3 , Baseline , EndRoot

นิพจน์ 42: phi Subscript, 2 , Baseline equals 2 alpha Subscript, 3 , Baseline beta Subscript, 1 , Baseline

นิพจน์ 43: phi Subscript, 3 , Baseline equals alpha Subscript, 1 , Baseline beta Subscript, 2 , Baseline minus alpha Subscript, 1 , Baseline StartRoot, beta squared minus 4 beta Subscript, 1 , Baseline beta Subscript, 3 , Baseline , EndRoot minus 2 alpha Subscript, 2 , Baseline beta Subscript, 1 , Baseline

นิพจน์ 44: "P" Subscript, 6 , Baseline equals left parenthesis, StartFraction, phi Subscript, 1 , Baseline Over phi Subscript, 3 , Baseline , EndFraction , StartFraction, phi Subscript, 2 , Baseline Over phi Subscript, 3 , Baseline , EndFraction , right parenthesis

นิพจน์ 45: beta Subscript, 1 , Baseline "x" squared plus beta Subscript, 2 , Baseline "x" "y" plus beta Subscript, 3 , Baseline "y" squared equals 0

นิพจน์ 46: "p" Subscript, 1 , Baseline equals negative alpha Subscript, 3 , Baseline beta Subscript, 2 , Baseline minus alpha Subscript, 3 , Baseline StartRoot, beta squared minus 4 beta Subscript, 1 , Baseline beta Subscript, 3 , Baseline , EndRoot

นิพจน์ 47: "p" Subscript, 3 , Baseline equals alpha Subscript, 1 , Baseline beta Subscript, 2 , Baseline plus alpha Subscript, 1 , Baseline StartRoot, beta squared minus 4 beta Subscript, 1 , Baseline beta Subscript, 3 , Baseline , EndRoot minus 2 alpha Subscript, 2 , Baseline beta Subscript, 1 , Baseline

นิพจน์ 48: "P" Subscript, 7 , Baseline equals left parenthesis, StartFraction, "p" Subscript, 1 , Baseline Over "p" Subscript, 3 , Baseline , EndFraction , StartFraction, phi Subscript, 2 , Baseline Over "p" Subscript, 3 , Baseline , EndFraction , right parenthesis

นิพจน์ 49: left parenthesis, phi Subscript, 2 , Baseline minus phi Subscript, 3 , Baseline , right parenthesis "x" plus left parenthesis, phi Subscript, 3 , Baseline minus phi Subscript, 1 , Baseline , right parenthesis "y" plus left parenthesis, phi Subscript, 1 , Baseline minus phi Subscript, 2 , Baseline , right parenthesis equals 0

นิพจน์ 50: left parenthesis, phi Subscript, 2 , Baseline minus "p" Subscript, 3 , Baseline , right parenthesis "x" plus left parenthesis, "p" Subscript, 3 , Baseline minus "p" Subscript, 1 , Baseline , right parenthesis "y" plus left parenthesis, "p" Subscript, 1 , Baseline minus phi Subscript, 2 , Baseline , right parenthesis equals 0

นิพจน์ 51: "q" Subscript, 1 , Baseline equals left parenthesis, phi Subscript, 2 , Baseline minus phi Subscript, 3 , Baseline , right parenthesis

นิพจน์ 52: "t" Subscript, 1 , Baseline equals left parenthesis, phi Subscript, 3 , Baseline minus phi Subscript, 1 , Baseline , right parenthesis

นิพจน์ 53: "v" Subscript, 1 , Baseline equals left parenthesis, phi Subscript, 1 , Baseline minus phi Subscript, 2 , Baseline , right parenthesis

นิพจน์ 54: "q" Subscript, 2 , Baseline equals left parenthesis, phi Subscript, 2 , Baseline minus "p" Subscript, 3 , Baseline , right parenthesis

นิพจน์ 55: "t" Subscript, 2 , Baseline equals left parenthesis, "p" Subscript, 3 , Baseline minus "p" Subscript, 1 , Baseline , right parenthesis

นิพจน์ 56: "v" Subscript, 2 , Baseline equals left parenthesis, "p" Subscript, 1 , Baseline minus phi Subscript, 2 , Baseline , right parenthesis

นิพจน์ 57: "q" Subscript, 1 , Baseline "y" plus "t" Subscript, 1 , Baseline "x" plus "v" Subscript, 1 , Baseline "x" "y" equals 0

นิพจน์ 58: "q" Subscript, 2 , Baseline "y" plus "t" Subscript, 2 , Baseline "x" plus "v" Subscript, 2 , Baseline "x" "y" equals 0

นิพจน์ 59: "q" Subscript, 1 , Baseline "L" Subscript, 13 , Baseline left parenthesis, "x" , "y" , 1 , right parenthesis "g" "L" Subscript, 12 , Baseline left parenthesis, "x" , "y" , 1 , right parenthesis "h" plus "t" Subscript, 1 , Baseline "L" Subscript, 23 , Baseline left parenthesis, "x" , "y" , 1 , right parenthesis "f" "L" Subscript, 12 , Baseline left parenthesis, "x" , "y" , 1 , right parenthesis "h" plus "v" Subscript, 1 , Baseline "L" Subscript, 23 , Baseline left parenthesis, "x" , "y" , 1 , right parenthesis "f" "L" Subscript, 13 , Baseline left parenthesis, "x" , "y" , 1 , right parenthesis "g" equals 0

นิพจน์ 60: "q" Subscript, 2 , Baseline "L" Subscript, 13 , Baseline left parenthesis, "x" , "y" , 1 , right parenthesis "g" "L" Subscript, 12 , Baseline left parenthesis, "x" , "y" , 1 , right parenthesis "h" plus "t" Subscript, 2 , Baseline "L" Subscript, 23 , Baseline left parenthesis, "x" , "y" , 1 , right parenthesis "f" "L" Subscript, 12 , Baseline left parenthesis, "x" , "y" , 1 , right parenthesis "h" plus "v" Subscript, 2 , Baseline "L" Subscript, 23 , Baseline left parenthesis, "x" , "y" , 1 , right parenthesis "f" "L" Subscript, 13 , Baseline left parenthesis, "x" , "y" , 1 , right parenthesis "g" equals 0

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