Expression 53: "R" Subscript, "r" , Baseline equals min left parenthesis, "b" , "c" , "r" Subscript, "a" "d" "i" "u" "s" , Baseline , right parenthesisRr=minb,c,radius
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Expression 54: left parenthesis, "A" Subscript, 1 , Baseline plus "R" Subscript, "r" , Baseline cos left parenthesis, "a" Subscript, 01 , Baseline plus "t" "A" Subscript, "r" "a" "d" , Baseline , right parenthesis , "A" Subscript, 2 , Baseline plus "R" Subscript, "r" , Baseline sin left parenthesis, "a" Subscript, 01 , Baseline plus "t" "A" Subscript, "r" "a" "d" , Baseline , right parenthesis , right parenthesisA1+Rrcosa01+tArad,A2+Rrsina01+tArad
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Expression 55: "A" Subscript, "r" "a" "d" , Baseline equals left brace, StartAbsoluteValue, "a" Subscript, 02 , Baseline minus "a" Subscript, 01 , Baseline , EndAbsoluteValue less than pi : "a" Subscript, 02 , Baseline minus "a" Subscript, 01 , Baseline , "a" Subscript, 02 , Baseline minus "a" Subscript, 01 , Baseline less than 0 : "a" Subscript, 02 , Baseline minus "a" Subscript, 01 , Baseline plus 2 pi , "a" Subscript, 02 , Baseline minus "a" Subscript, 01 , Baseline minus 2 pi , right braceArad=a02−a01<π:a02−a01,a02−a01<0:a02−a01+2π,a02−a01−2π
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Expression 56: "a" Subscript, 01 , Baseline equals "a" Subscript, "t" , Baseline left parenthesis, "c" Subscript, 2 , Baseline , "c" Subscript, 1 , Baseline , right parenthesisa01=atc2,c1
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Expression 57: "a" Subscript, 02 , Baseline equals "a" Subscript, "t" , Baseline left parenthesis, "a" Subscript, 2 , Baseline , "a" Subscript, 1 , Baseline , right parenthesisa02=ata2,a1
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Expression 58: "R" Subscript, "g" , Baseline equals min left parenthesis, "a" , "c" , "r" Subscript, "a" "d" "i" "u" "s" , Baseline , right parenthesisRg=mina,c,radius
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Expression 59: left parenthesis, "B" Subscript, 1 , Baseline plus "R" Subscript, "g" , Baseline cos left parenthesis, "b" Subscript, 01 , Baseline plus "t" "B" Subscript, "r" "a" "d" , Baseline , right parenthesis , "B" Subscript, 2 , Baseline plus "R" Subscript, "g" , Baseline sin left parenthesis, "b" Subscript, 01 , Baseline plus "t" "B" Subscript, "r" "a" "d" , Baseline , right parenthesis , right parenthesisB1+Rgcosb01+tBrad,B2+Rgsinb01+tBrad
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Expression 60: "B" Subscript, "r" "a" "d" , Baseline equals left brace, StartAbsoluteValue, "b" Subscript, 02 , Baseline minus "b" Subscript, 01 , Baseline , EndAbsoluteValue less than pi : "b" Subscript, 02 , Baseline minus "b" Subscript, 01 , Baseline , "b" Subscript, 02 , Baseline minus "b" Subscript, 01 , Baseline less than 0 : "b" Subscript, 02 , Baseline minus "b" Subscript, 01 , Baseline plus 2 pi , "b" Subscript, 02 , Baseline minus "b" Subscript, 01 , Baseline minus 2 pi , right braceBrad=b02−b01<π:b02−b01,b02−b01<0:b02−b01+2π,b02−b01−2π
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Expression 61: "b" Subscript, 01 , Baseline equals "a" Subscript, "t" , Baseline left parenthesis, negative "a" Subscript, 2 , Baseline , negative "a" Subscript, 1 , Baseline , right parenthesisb01=at−a2,−a1
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Expression 62: "b" Subscript, 02 , Baseline equals "a" Subscript, "t" , Baseline left parenthesis, "b" Subscript, 2 , Baseline , "b" Subscript, 1 , Baseline , right parenthesisb02=atb2,b1
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Expression 63: "R" Subscript, "b" , Baseline equals min left parenthesis, "a" , "b" , "r" Subscript, "a" "d" "i" "u" "s" , Baseline , right parenthesisRb=mina,b,radius
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Expression 64: left parenthesis, "C" Subscript, 1 , Baseline plus "R" Subscript, "b" , Baseline cos left parenthesis, "c" Subscript, 01 , Baseline plus "t" "C" Subscript, "r" "a" "d" , Baseline , right parenthesis , "C" Subscript, 2 , Baseline plus "R" Subscript, "b" , Baseline sin left parenthesis, "c" Subscript, 01 , Baseline plus "t" "C" Subscript, "r" "a" "d" , Baseline , right parenthesis , right parenthesisC1+Rbcosc01+tCrad,C2+Rbsinc01+tCrad
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Expression 65: "C" Subscript, "r" "a" "d" , Baseline equals left brace, StartAbsoluteValue, "c" Subscript, 02 , Baseline minus "c" Subscript, 01 , Baseline , EndAbsoluteValue less than pi : "c" Subscript, 02 , Baseline minus "c" Subscript, 01 , Baseline , "c" Subscript, 02 , Baseline minus "c" Subscript, 01 , Baseline less than 0 : "c" Subscript, 02 , Baseline minus "c" Subscript, 01 , Baseline plus 2 pi , "c" Subscript, 02 , Baseline minus "c" Subscript, 01 , Baseline minus 2 pi , right braceCrad=c02−c01<π:c02−c01,c02−c01<0:c02−c01+2π,c02−c01−2π
Expression 68: "a" Subscript, "t" , Baseline left parenthesis, "y" , "x" , right parenthesis equals left brace, "x" greater than 0 : tan to the negative 1st power left parenthesis, StartFraction, "y" Over "x" , EndFraction , right parenthesis , "x" less than 0 : left brace, "y" less than or equal to 0 : tan to the negative 1st power left parenthesis, StartFraction, "y" Over "x" , EndFraction , right parenthesis plus pi , tan to the negative 1st power left parenthesis, StartFraction, "y" Over "x" , EndFraction , right parenthesis minus pi , right brace , "y" greater than 0 : StartFraction, pi Over 2 , EndFraction , "y" less than 0 : negative StartFraction, pi Over 2 , EndFraction , right braceaty,x=x>0:tan−1yx,x<0:y≤0:tan−1yx+π,tan−1yx−π,y>0:π2,y<0:−π2
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Vinkler
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Expression 70: "v" Subscript, "A" , Baseline equals StartAbsoluteValue, "A" Subscript, "r" "a" "d" , Baseline times StartFraction, 180 Over pi , EndFraction , EndAbsoluteValuevA=Arad·180π
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Expression 71: "v" Subscript, "B" , Baseline equals StartAbsoluteValue, "B" Subscript, "r" "a" "d" , Baseline times StartFraction, 180 Over pi , EndFraction , EndAbsoluteValuevB=Brad·180π
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Expression 72: "v" Subscript, "C" , Baseline equals StartAbsoluteValue, "C" Subscript, "r" "a" "d" , Baseline times StartFraction, 180 Over pi , EndFraction , EndAbsoluteValuevC=Crad·180π
