Expression 8: left parenthesis, "t" , sin left parenthesis, "t" , right parenthesis , cos left parenthesis, "t" , right parenthesis , right parenthesist,sint,cost
8
create a bunch of helix on the same cylinder
9
Expression 10: "l" Subscript, "s" , Baseline equals left bracket, 0 , StartFraction, pi Over 6 , EndFraction , ... , 2 pi , right bracketls=0,π6,...,2π
equals=
00
0.5 2 3 5 9 8 7 7 5 5 9 80.523598775598
1.0 4 7 1 9 7 5 5 1 21.0471975512
1.5 7 0 7 9 6 3 2 6 7 91.57079632679
2.0 9 4 3 9 5 1 0 2 3 92.09439510239
2.6 1 7 9 9 3 8 7 7 9 92.61799387799
3.1 4 1 5 9 2 6 5 3 5 93.14159265359
3.6 6 5 1 9 1 4 2 9 1 93.66519142919
4.1 8 8 7 9 0 2 0 4 7 94.18879020479
4.7 1 2 3 8 8 9 8 0 3 84.71238898038
5.2 3 5 9 8 7 7 5 5 9 85.23598775598
5.7 5 9 5 8 6 5 3 1 5 85.75958653158
6.2 8 3 1 8 5 3 0 7 1 86.28318530718
10
Expression 11: left parenthesis, "t" cos left parenthesis, StartFraction, pi Over 2 , EndFraction "T" , right parenthesis minus sin left parenthesis, StartFraction, pi Over 2 , EndFraction "T" , right parenthesis cos left parenthesis, "t" plus "l" Subscript, "s" , Baseline , right parenthesis , sin left parenthesis, "t" plus "l" Subscript, "s" , Baseline , right parenthesis plus 5 "T" , right parenthesistcosπ2T−sinπ2Tcost+ls,sint+ls+5T
domain t Minimum: "l" Subscript, "m" "i" "n" , Baselinelmin
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: "l" Subscript, "m" "a" "x" , Baselinelmax
11
Expression 12: left parenthesis, "t" cos left parenthesis, StartFraction, pi Over 2 , EndFraction "T" , right parenthesis minus sin left parenthesis, StartFraction, pi Over 2 , EndFraction "T" , right parenthesis cos left parenthesis, negative "t" plus "l" Subscript, "s" , Baseline , right parenthesis , sin left parenthesis, negative "t" plus "l" Subscript, "s" , Baseline , right parenthesis plus 5 "T" , right parenthesistcosπ2T−sinπ2Tcos−t+ls,sin−t+ls+5T
domain t Minimum: "l" Subscript, "m" "i" "n" , Baselinelmin
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: "l" Subscript, "m" "a" "x" , Baselinelmax
12
high light of the helix
13
Expression 14: left parenthesis, "t" cos left parenthesis, StartFraction, pi Over 2 , EndFraction "T" , right parenthesis minus sin left parenthesis, StartFraction, pi Over 2 , EndFraction "T" , right parenthesis cos left parenthesis, "t" , right parenthesis , sin left parenthesis, "t" , right parenthesis plus 5 "T" , right parenthesistcosπ2T−sinπ2Tcost,sint+5T
domain t Minimum: "l" Subscript, "m" "i" "n" , Baselinelmin
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: "l" Subscript, "m" "a" "x" , Baselinelmax