Expression 13: left parenthesis, "x" minus "a" , right parenthesis squared plus "y" squared equals left parenthesis, "a" minus "x" Subscript, 1 , Baseline , right parenthesis squared plus left parenthesis, 0 minus "y" Subscript, 1 , Baseline , right parenthesis squaredx−a2+y2=a−x12+0−y12
13
Expression 14: left parenthesis, "x" squared plus "y" squared , right parenthesis equals "x" squared plus "y" squaredx2+y2=x21+y21
14
Expression 15: "r" Subscript, 0 , Baseline equals StartRoot, left parenthesis, "x" squared plus "y" squared , right parenthesis , EndRootr0=x21+y21
equals=
0.7 2 0 3 2 2 1 5 0 1 5 20.720322150152
15
Expression 16: left parenthesis, "x" squared plus "y" squared minus 2 "x" , right parenthesis equals "x" squared plus "y" squared minus 2 "x" Subscript, 1 , Baselinex2+y2−2x=x21+y21−2x1
16
Expression 17: "r" Subscript, 1 , Baseline equals StartRoot, left parenthesis, "x" Subscript, 1 , Baseline minus 1 , right parenthesis squared plus "y" squared , EndRootr1=x1−12+y21
equals=
0.3 6 7 2 3 8 3 4 2 2 2 50.367238342225
17
Expression 18: "c" Subscript, "b" "d" , Baseline equals 2 times cosine to the negative 1st power StartFraction, left parenthesis, "r" squared plus 1 squared minus "r" squared , right parenthesis Over 2 times "r" Subscript, 1 , Baseline times 1 , EndFractioncbd=2·cos−1r21+12−r202·r1·1
equals=
1.1 5 1 8 3 7 1 9 9 2 41.15183719924
18
Expression 19: "c" Subscript, "a" "d" , Baseline equals 2 times cosine to the negative 1st power left parenthesis, StartFraction, "r" squared plus 1 minus "r" squared Over 2 times "r" Subscript, 0 , Baseline times 1 , EndFraction , right parenthesiscad=2·cos−1r20+1−r212·r0·1
equals=
0.5 6 2 7 0 1 5 1 1 1 2 70.562701511127
19
Expression 20: "i" Subscript, "t" "e" "r" "s" "e" "c" "t" "i" "o" "n" , Baseline equals 1 half "c" Subscript, "b" "d" , Baseline "r" squared minus 1 half "r" squared times sine left parenthesis, "c" Subscript, "b" "d" , Baseline , right parenthesis plus 1 half "c" Subscript, "a" "d" , Baseline "r" squared minus 1 half "r" squared times sine left parenthesis, "c" Subscript, "a" "d" , Baseline , right parenthesisitersection=12cbdr21−12r21·sincbd+12cadr20−12r20·sincad
equals=
0.0 2 3 6 5 3 4 6 4 4 5 3 50.0236534644535
20
Expression 21: 2 times 4 Start integral from 0 to 0.5, end integral, Start integral from 0 to "x" , end integral, left parenthesis, StartFraction, pi "f" Subscript, "r" 0 , Baseline left parenthesis, "x" , "y" , right parenthesis squared Over 4 , EndFraction plus StartFraction, pi "f" Subscript, "r" 1 , Baseline left parenthesis, "x" , "y" , right parenthesis squared Over 4 , EndFraction minus "f" Subscript, "i" "n" "t" "e" "r" "s" "e" "c" "t" "i" "o" "n" , Baseline left parenthesis, "f" Subscript, "r" 0 , Baseline left parenthesis, "x" , "y" , right parenthesis , "f" Subscript, "r" 1 , Baseline left parenthesis, "x" , "y" , right parenthesis , "f" Subscript, "c" "b" "d" , Baseline left parenthesis, "f" Subscript, "r" 0 , Baseline left parenthesis, "x" , "y" , right parenthesis , "f" Subscript, "r" 1 , Baseline left parenthesis, "x" , "y" , right parenthesis , right parenthesis , "f" Subscript, "c" "a" "d" , Baseline left parenthesis, "f" Subscript, "r" 0 , Baseline left parenthesis, "x" , "y" , right parenthesis , "f" Subscript, "r" 1 , Baseline left parenthesis, "x" , "y" , right parenthesis , right parenthesis , right parenthesis , right parenthesis "d" "y" "d" "x"2·4∫0.50∫x0πfr0x,y24+πfr1x,y24−fintersectionfr0x,y,fr1x,y,fcbdfr0x,y,fr1x,y,fcadfr0x,y,fr1x,ydydx
undefined
21
Expression 22: "f" Subscript, "r" 0 , Baseline left parenthesis, "x" , "y" , right parenthesis equals StartRoot, left parenthesis, "x" squared plus "y" squared , right parenthesis , EndRootfr0x,y=x2+y2
22
Expression 23: "f" Subscript, "r" 1 , Baseline left parenthesis, "x" , "y" , right parenthesis equals StartRoot, left parenthesis, "x" minus 1 , right parenthesis squared plus "y" squared , EndRootfr1x,y=x−12+y2
23
Expression 24: "f" Subscript, "c" "b" "d" , Baseline left parenthesis, "r" Subscript, 0 , Baseline , "r" Subscript, 1 , Baseline , right parenthesis equals 2 times cosine to the negative 1st power left parenthesis, StartFraction, "r" squared plus 1 minus "r" squared Over 2 times "r" Subscript, 1 , Baseline times 1 , EndFraction , right parenthesisfcbdr0,r1=2·cos−1r21+1−r202·r1·1
24
Expression 25: "f" Subscript, "c" "a" "d" , Baseline left parenthesis, "r" Subscript, 0 , Baseline , "r" Subscript, 1 , Baseline , right parenthesis equals 2 times cosine to the negative 1st power left parenthesis, StartFraction, "r" squared plus 1 minus "r" squared Over 2 times "r" Subscript, 0 , Baseline times 1 , EndFraction , right parenthesisfcadr0,r1=2·cos−1r20+1−r212·r0·1
25
Expression 26: "f" Subscript, "i" "n" "t" "e" "r" "s" "e" "c" "t" "i" "o" "n" , Baseline left parenthesis, "r" Subscript, 0 , Baseline , "r" Subscript, 1 , Baseline , "c" Subscript, "b" "d" , Baseline , "c" Subscript, "a" "d" , Baseline , right parenthesis equals 1 half "c" Subscript, "b" "d" , Baseline "r" squared minus 1 half "r" squared times sine left parenthesis, "c" Subscript, "b" "d" , Baseline , right parenthesis plus 1 half "c" Subscript, "a" "d" , Baseline "r" squared minus 1 half "r" squared times sine left parenthesis, "c" Subscript, "a" "d" , Baseline , right parenthesisfintersectionr0,r1,cbd,cad=12cbdr21−12r21·sincbd+12cadr20−12r20·sincad
