Ekspresi 29: theta Subscript, "a" , Baseline equals 2cosine to the negative 1st power left parenthesis, StartFraction, "d" Subscript, 1 , Baseline Over "R" , EndFraction , right parenthesisθa=2cos−1d1R
equals=
1.1 6 6 2 5 0 9 8 2 7 81.16625098278
29
Ekspresi 30: theta Subscript, "b" , Baseline equals 2cosine to the negative 1st power left parenthesis, StartFraction, "d" Subscript, 2 , Baseline Over "r" , EndFraction , right parenthesisθb=2cos−1d2r
equals=
1.5 4 8 6 1 1 2 3 5 8 41.54861123584
30
Ekspresi 31: "A" Subscript, "G" "r" "e" "e" "n" "B" "l" "u" "e" , Baseline equals StartFraction, "R" squared left parenthesis, theta Subscript, "a" , Baseline minus sin theta Subscript, "a" , Baseline , right parenthesis Over 2 , EndFractionAGreenBlue=R2θa−sinθa2
equals=
1.9 7 5 7 5 6 3 0 1 0 11.97575630101
31
Ekspresi 32: "A" Subscript, "G" "r" "e" "e" "n" "O" "r" "a" "n" "g" "e" , Baseline equals StartFraction, "r" squared left parenthesis, theta Subscript, "b" , Baseline minus sin theta Subscript, "b" , Baseline , right parenthesis Over 2 , EndFractionAGreenOrange=r2θb−sinθb2
equals=
2.7 2 3 0 1 8 3 5 3 4 32.72301835343
32
Ekspresi 33: "A" Subscript, "G" "r" "e" "e" "n" , Baseline equals "A" Subscript, "G" "r" "e" "e" "n" "B" "l" "u" "e" , Baseline plus "A" Subscript, "G" "r" "e" "e" "n" "O" "r" "a" "n" "g" "e" , BaselineAGreen=AGreenBlue+AGreenOrange
equals=
4.6 9 8 7 7 4 6 5 4 4 44.69877465444
33
Grønt areal
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34
Ekspresi 35: left brace, "D" greater than 0 , right brace max left parenthesis, StartRoot, left parenthesis, "x" minus "B" Subscript, 1 , Baseline , right parenthesis squared plus left parenthesis, "y" minus "B" Subscript, 2 , Baseline , right parenthesis squared , EndRoot minus "R" , StartRoot, left parenthesis, "x" minus "O" Subscript, 1 , Baseline , right parenthesis squared plus left parenthesis, "y" minus "O" Subscript, 2 , Baseline , right parenthesis squared , EndRoot minus "r" , right parenthesis less than or equal to 0D>0maxx−B12+y−B22−R,x−O12+y−O22−r≤0
35
Udsnitsvinkler
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36
Ekspresi 37: theta Subscript, "B" , Baseline equals cosine to the negative 1st power left parenthesis, 1 minus StartFraction, "a" squared Over 2 "R" squared , EndFraction , right parenthesisθB=cos−11−a22R2
equals=
1.1 6 6 2 5 0 9 8 2 7 81.16625098278
37
Ekspresi 38: theta Subscript, "O" , Baseline equals cosine to the negative 1st power left parenthesis, 1 minus StartFraction, "a" squared Over 2 "r" squared , EndFraction , right parenthesisθO=cos−11−a22r2
equals=
1.5 4 8 6 1 1 2 3 5 8 41.54861123584
38
Ekspresi 39: "a" equals 2 "g"a=2g
equals=
4.4 0 5 0 8 4 9 0 0 8 64.40508490086
39
Blåt og orange cirkelafsnit
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40
= Udsnit minus trekant:
41
Ekspresi 42: "B" Subscript, "a" "f" "s" "n" "i" "t" , Baseline equals StartFraction, theta Subscript, "B" , Baseline "R" squared minus "a" "R" times sin left parenthesis, StartNestedFraction, pi minus theta Subscript, "B" , Baseline NestedOver 2 , EndNestedFraction , right parenthesis Over 2 , EndFractionBafsnit=θBR2−aR·sinπ−θB22
equals=
1.9 7 5 7 5 6 3 0 1 0 11.97575630101
42
Ekspresi 43: "O" Subscript, "a" "f" "s" "n" "i" "t" , Baseline equals StartFraction, theta Subscript, "O" , Baseline "r" squared minus "a" "r" times sin left parenthesis, StartNestedFraction, pi minus theta Subscript, "O" , Baseline NestedOver 2 , EndNestedFraction , right parenthesis Over 2 , EndFractionOafsnit=θOr2−ar·sinπ−θO22
equals=
2.7 2 3 0 1 8 3 5 3 4 32.72301835343
43
Please compare ...
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44
sum of circular segments:
45
Ekspresi 46: "B" Subscript, "a" "f" "s" "n" "i" "t" , Baseline plus "O" Subscript, "a" "f" "s" "n" "i" "t" , BaselineBafsnit+Oafsnit
equals=
4.6 9 8 7 7 4 6 5 4 4 44.69877465444
46
with area of Intersection:
47
Ekspresi 48: "A" Subscript, "G" "r" "e" "e" "n" , BaselineAGreen
equals=
4.6 9 8 7 7 4 6 5 4 4 44.69877465444
48
Linjer
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49
Punkter
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56
Farvedybde
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74
Ekspresi 75: "D" equals left bracket, 1... "F" Subscript, "D" , Baseline , right bracketD=1...FD
