Expression 19: "r" Subscript, "y" , Baseline equals "s" Subscript, "x" , Baseline times left parenthesis, cos ( beta ) times sin ( phi ) , right parenthesis plus "s" Subscript, "y" , Baseline times left parenthesis, sin ( alpha ) times sin ( beta ) times sin ( phi ) plus cos ( alpha ) times cos ( phi ) , right parenthesis plus "s" Subscript, "z" , Baseline times left parenthesis, cos ( alpha ) times sin ( beta ) times sin ( phi ) minus sin ( alpha ) times cos ( phi ) , right parenthesis equals a list of numbers. 8 itemsry=sx·cos(β)·sin(ϕ)+sy·sin(α)·sin(β)·sin(ϕ)+cos(α)·cos(ϕ)+sz·cos(α)·sin(β)·sin(ϕ)−sin(α)·cos(ϕ)
equals=
0.5 3 1 3 7 1 3 2 6 7 7 70.531371326777
1.2 8 7 3 0 0 4 5 5 5 61.28730045556
1.3 1 9 9 8 0 3 8 8 6 51.31998038865
0.5 6 4 0 5 1 2 5 9 8 70.56405125987
negative 1.3 1 9 9 8 0 3 8 8 6 5−1.31998038865
negative 0.5 6 4 0 5 1 2 5 9 8 7−0.56405125987
- 0.5 3 1 3 7 1 3 2 6 7 7 7-0.531371326777
- 1.2 8 7 3 0 0 4 5 5 5 6-1.28730045556
19
Expression 20: "r" Subscript, "z" , Baseline equals "s" Subscript, "x" , Baseline times left parenthesis, negative sin left parenthesis, beta , right parenthesis , right parenthesis plus "s" Subscript, "y" , Baseline left parenthesis, sin left parenthesis, alpha , right parenthesis cos left parenthesis, beta , right parenthesis , right parenthesis plus "s" Subscript, "z" , Baseline left parenthesis, cos left parenthesis, alpha , right parenthesis times cos left parenthesis, beta , right parenthesis , right parenthesis equals a list of numbers. 8 itemsrz=sx·−sinβ+sysinαcosβ+szcosα·cosβ
equals=
- 1.6 0 7 1 7 5 9 2 9 6 5-1.60717592965
0.0 6 7 5 1 2 9 5 3 0 9 6 60.0675129530966
0.9 0 8 5 3 4 6 9 8 1 1 50.908534698115
negative 0.7 6 6 1 5 4 1 8 4 6 3 4−0.766154184634
- 0.9 0 8 5 3 4 6 9 8 1 1 5-0.908534698115
0.7 6 6 1 5 4 1 8 4 6 3 40.766154184634
1.6 0 7 1 7 5 9 2 9 6 51.60717592965
- 0.0 6 7 5 1 2 9 5 3 0 9 6 6-0.0675129530966
20
Expression 21: "t" Subscript, "x" , Baseline equals "r" Subscript, "x" , Baseline plus "T" Subscript, "x" , Baseline equals a list of numbers. 8 itemstx=rx+Tx
equals=
0.3 6 6 9 1 9 6 6 9 9 90.36691966999
1.1 5 6 8 4 8 9 6 9 5 21.15684896952
- 0.6 5 7 4 3 1 7 2 7 1 7 1-0.657431727171
negative 1.4 4 7 3 6 1 0 2 6 7−1.4473610267
0.6 5 7 4 3 1 7 2 7 1 7 10.657431727171
1.4 4 7 3 6 1 0 2 6 71.4473610267
- 0.3 6 6 9 1 9 6 6 9 9 9-0.36691966999
- 1.1 5 6 8 4 8 9 6 9 5 2-1.15684896952
21
Expression 22: "t" Subscript, "y" , Baseline equals "r" Subscript, "y" , Baseline plus "T" Subscript, "y" , Baseline equals a list of numbers. 8 itemsty=ry+Ty
equals=
0.5 3 1 3 7 1 3 2 6 7 7 70.531371326777
1.2 8 7 3 0 0 4 5 5 5 61.28730045556
1.3 1 9 9 8 0 3 8 8 6 51.31998038865
0.5 6 4 0 5 1 2 5 9 8 70.56405125987
negative 1.3 1 9 9 8 0 3 8 8 6 5−1.31998038865
negative 0.5 6 4 0 5 1 2 5 9 8 7−0.56405125987
- 0.5 3 1 3 7 1 3 2 6 7 7 7-0.531371326777
- 1.2 8 7 3 0 0 4 5 5 5 6-1.28730045556
22
Expression 23: "t" Subscript, "z" , Baseline equals "r" Subscript, "z" , Baseline plus "T" Subscript, "z" , Baseline equals a list of numbers. 8 itemstz=rz+Tz
equals=
8.3 9 2 8 2 4 0 7 0 3 58.39282407035
10.0 6 7 5 1 2 9 5 3 110.0675129531
10.9 0 8 5 3 4 6 9 8 110.9085346981
9.2 3 3 8 4 5 8 1 5 3 79.23384581537
9.0 9 1 4 6 5 3 0 1 8 89.09146530188
10.7 6 6 1 5 4 1 8 4 610.7661541846
11.6 0 7 1 7 5 9 2 9 711.6071759297
9.9 3 2 4 8 7 0 4 6 99.9324870469
23
Expression 24: "p" Subscript, "x" , Baseline equals StartFraction, "t" Subscript, "x" , Baseline Over "t" Subscript, "z" , Baseline , EndFraction times "C" Subscript, "v" , Baseline equals a list of numbers. 8 itemspx=txtz·Cv
equals=
0.1 2 1 9 1 9 9 7 4 2 4 20.121919974242
0.3 2 0 4 5 4 5 5 9 0 4 70.320454559047
- 0.1 6 8 0 7 2 3 3 3 2 5 4-0.168072333254
negative 0.4 3 7 1 2 5 6 0 1 7 7−0.43712560177
0.2 0 1 6 6 4 1 7 8 2 3 90.201664178239
0.3 7 4 9 1 1 0 7 2 1 8 70.374911072187
- 0.0 8 8 1 5 6 9 2 1 2 5 9 6-0.0881569212596
- 0.3 2 4 8 1 0 9 3 6 9 6 3-0.324810936963
24
Expression 25: "p" Subscript, "y" , Baseline equals StartFraction, "t" Subscript, "y" , Baseline Over "t" Subscript, "z" , Baseline , EndFraction times "C" Subscript, "v" , Baseline equals a list of numbers. 8 itemspy=tytz·Cv
equals=
0.1 7 6 5 6 3 9 2 8 7 6 30.176563928763
0.3 5 6 5 9 0 4 5 4 5 1 60.356590454516
0.3 3 7 4 5 2 8 1 0 0 8 10.337452810081
0.1 7 0 3 5 2 2 7 6 9 0 40.170352276904
negative 0.4 0 4 8 9 7 9 5 2 6 9 6−0.404897952696
negative 0.1 4 6 1 0 6 6 4 4 2 3 4−0.146106644234
- 0.1 2 7 6 6 8 4 3 5 4 8-0.12766843548
- 0.3 6 1 4 3 8 0 7 7 1 7 5-0.361438077175
25
Hidden Label: left parenthesis, "p" Subscript, "x" , Baseline , "p" Subscript, "y" , Baseline , right parenthesispx,py
Label
26
Expression 27: left parenthesis, "p" Subscript, "x" , Baseline left bracket, 1 , right bracket plus "t" left parenthesis, "p" Subscript, "x" , Baseline left bracket, 2 , right bracket minus "p" Subscript, "x" , Baseline left bracket, 1 , right bracket , right parenthesis , "p" Subscript, "y" , Baseline left bracket, 1 , right bracket plus "t" left parenthesis, "p" Subscript, "y" , Baseline left bracket, 2 , right bracket minus "p" Subscript, "y" , Baseline left bracket, 1 , right bracket , right parenthesis , right parenthesispx1+tpx2−px1,py1+tpy2−py1
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
11
domain t Maximum:
27
Expression 28: left parenthesis, "p" Subscript, "x" , Baseline left bracket, 1 , right bracket plus "t" left parenthesis, "p" Subscript, "x" , Baseline left bracket, 4 , right bracket minus "p" Subscript, "x" , Baseline left bracket, 1 , right bracket , right parenthesis , "p" Subscript, "y" , Baseline left bracket, 1 , right bracket plus "t" left parenthesis, "p" Subscript, "y" , Baseline left bracket, 4 , right bracket minus "p" Subscript, "y" , Baseline left bracket, 1 , right bracket , right parenthesis , right parenthesispx1+tpx4−px1,py1+tpy4−py1
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
11
domain t Maximum:
28
Expression 29: left parenthesis, "p" Subscript, "x" , Baseline left bracket, 1 , right bracket plus "t" left parenthesis, "p" Subscript, "x" , Baseline left bracket, 5 , right bracket minus "p" Subscript, "x" , Baseline left bracket, 1 , right bracket , right parenthesis , "p" Subscript, "y" , Baseline left bracket, 1 , right bracket plus "t" left parenthesis, "p" Subscript, "y" , Baseline left bracket, 5 , right bracket minus "p" Subscript, "y" , Baseline left bracket, 1 , right bracket , right parenthesis , right parenthesispx1+tpx5−px1,py1+tpy5−py1
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
11
domain t Maximum:
29
Expression 30: left parenthesis, "p" Subscript, "x" , Baseline left bracket, 2 , right bracket plus "t" left parenthesis, "p" Subscript, "x" , Baseline left bracket, 3 , right bracket minus "p" Subscript, "x" , Baseline left bracket, 2 , right bracket , right parenthesis , "p" Subscript, "y" , Baseline left bracket, 2 , right bracket plus "t" left parenthesis, "p" Subscript, "y" , Baseline left bracket, 3 , right bracket minus "p" Subscript, "y" , Baseline left bracket, 2 , right bracket , right parenthesis , right parenthesispx2+tpx3−px2,py2+tpy3−py2
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
11
domain t Maximum:
30
Expression 31: left parenthesis, "p" Subscript, "x" , Baseline left bracket, 3 , right bracket plus "t" left parenthesis, "p" Subscript, "x" , Baseline left bracket, 4 , right bracket minus "p" Subscript, "x" , Baseline left bracket, 3 , right bracket , right parenthesis , "p" Subscript, "y" , Baseline left bracket, 3 , right bracket plus "t" left parenthesis, "p" Subscript, "y" , Baseline left bracket, 4 , right bracket minus "p" Subscript, "y" , Baseline left bracket, 3 , right bracket , right parenthesis , right parenthesispx3+tpx4−px3,py3+tpy4−py3
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
11
domain t Maximum:
31
Expression 32: left parenthesis, "p" Subscript, "x" , Baseline left bracket, 5 , right bracket plus "t" left parenthesis, "p" Subscript, "x" , Baseline left bracket, 8 , right bracket minus "p" Subscript, "x" , Baseline left bracket, 5 , right bracket , right parenthesis , "p" Subscript, "y" , Baseline left bracket, 5 , right bracket plus "t" left parenthesis, "p" Subscript, "y" , Baseline left bracket, 8 , right bracket minus "p" Subscript, "y" , Baseline left bracket, 5 , right bracket , right parenthesis , right parenthesispx5+tpx8−px5,py5+tpy8−py5
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
11
domain t Maximum:
32
Expression 33: left parenthesis, "p" Subscript, "x" , Baseline left bracket, 4 , right bracket plus "t" left parenthesis, "p" Subscript, "x" , Baseline left bracket, 8 , right bracket minus "p" Subscript, "x" , Baseline left bracket, 4 , right bracket , right parenthesis , "p" Subscript, "y" , Baseline left bracket, 4 , right bracket plus "t" left parenthesis, "p" Subscript, "y" , Baseline left bracket, 8 , right bracket minus "p" Subscript, "y" , Baseline left bracket, 4 , right bracket , right parenthesis , right parenthesispx4+tpx8−px4,py4+tpy8−py4
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
11
domain t Maximum:
33
Expression 34: left parenthesis, "p" Subscript, "x" , Baseline left bracket, 5 , right bracket plus "t" left parenthesis, "p" Subscript, "x" , Baseline left bracket, 6 , right bracket minus "p" Subscript, "x" , Baseline left bracket, 5 , right bracket , right parenthesis , "p" Subscript, "y" , Baseline left bracket, 5 , right bracket plus "t" left parenthesis, "p" Subscript, "y" , Baseline left bracket, 6 , right bracket minus "p" Subscript, "y" , Baseline left bracket, 5 , right bracket , right parenthesis , right parenthesispx5+tpx6−px5,py5+tpy6−py5
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
11
domain t Maximum:
34
Expression 35: left parenthesis, "p" Subscript, "x" , Baseline left bracket, 6 , right bracket plus "t" left parenthesis, "p" Subscript, "x" , Baseline left bracket, 7 , right bracket minus "p" Subscript, "x" , Baseline left bracket, 6 , right bracket , right parenthesis , "p" Subscript, "y" , Baseline left bracket, 6 , right bracket plus "t" left parenthesis, "p" Subscript, "y" , Baseline left bracket, 7 , right bracket minus "p" Subscript, "y" , Baseline left bracket, 6 , right bracket , right parenthesis , right parenthesispx6+tpx7−px6,py6+tpy7−py6
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
11
domain t Maximum:
35
Expression 36: left parenthesis, "p" Subscript, "x" , Baseline left bracket, 2 , right bracket plus "t" left parenthesis, "p" Subscript, "x" , Baseline left bracket, 6 , right bracket minus "p" Subscript, "x" , Baseline left bracket, 2 , right bracket , right parenthesis , "p" Subscript, "y" , Baseline left bracket, 2 , right bracket plus "t" left parenthesis, "p" Subscript, "y" , Baseline left bracket, 6 , right bracket minus "p" Subscript, "y" , Baseline left bracket, 2 , right bracket , right parenthesis , right parenthesispx2+tpx6−px2,py2+tpy6−py2
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
11
domain t Maximum:
36
Expression 37: left parenthesis, "p" Subscript, "x" , Baseline left bracket, 3 , right bracket plus "t" left parenthesis, "p" Subscript, "x" , Baseline left bracket, 7 , right bracket minus "p" Subscript, "x" , Baseline left bracket, 3 , right bracket , right parenthesis , "p" Subscript, "y" , Baseline left bracket, 3 , right bracket plus "t" left parenthesis, "p" Subscript, "y" , Baseline left bracket, 7 , right bracket minus "p" Subscript, "y" , Baseline left bracket, 3 , right bracket , right parenthesis , right parenthesispx3+tpx7−px3,py3+tpy7−py3
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
11
domain t Maximum:
37
Expression 38: left parenthesis, "p" Subscript, "x" , Baseline left bracket, 7 , right bracket plus "t" left parenthesis, "p" Subscript, "x" , Baseline left bracket, 8 , right bracket minus "p" Subscript, "x" , Baseline left bracket, 7 , right bracket , right parenthesis , "p" Subscript, "y" , Baseline left bracket, 7 , right bracket plus "t" left parenthesis, "p" Subscript, "y" , Baseline left bracket, 8 , right bracket minus "p" Subscript, "y" , Baseline left bracket, 7 , right bracket , right parenthesis , right parenthesispx7+tpx8−px7,py7+tpy8−py7
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
