Expression 19: "p" Subscript, 0 , Baseline plus "t" times left parenthesis, cos phi , sin phi , right parenthesisp0+t·cosϕ,sinϕ
domain t Minimum: negative 3−3
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 33
19
Expression 20: "p" Subscript, 0 , Baseline plus "t" "a" times left parenthesis, cos phi , sin phi , right parenthesisp0+ta·cosϕ,sinϕ
domain t Minimum: 00
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 11
20
Expression 21: phi Subscript, 1 , Baseline equals phi plus StartFraction, pi Over 2 , EndFractionϕ1=ϕ+π2
equals=
1.8 7 9 3 9 2 0 2 2 5 71.87939202257
21
Expression 22: "p" Subscript, 0 , Baseline plus "t" times left parenthesis, cos phi Subscript, 1 , Baseline , sin phi Subscript, 1 , Baseline , right parenthesisp0+t·cosϕ1,sinϕ1
domain t Minimum: negative 3−3
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 33
22
Expression 23: "p" Subscript, 0 , Baseline plus "t" "b" times left parenthesis, cos phi Subscript, 1 , Baseline , sin phi Subscript, 1 , Baseline , right parenthesisp0+tb·cosϕ1,sinϕ1
domain t Minimum: 00
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 11
23
`(0,0)` left parenthesis, 0 , 0 , right parenthesis0,0
Label:
24
`(x_⚬,\ y_⚬)` "p" Subscript, 0 , Baseline equals left parenthesis, "x" Subscript, 0 , Baseline , "y" Subscript, 0 , Baseline , right parenthesisp0=x0,y0
`a` "p" Subscript, 0 , Baseline plus StartFraction, "a" Over 2 , EndFraction times left parenthesis, cos phi , sin phi , right parenthesisp0+a2·cosϕ,sinϕ
`b` "p" Subscript, 0 , Baseline plus StartFraction, "b" Over 2 , EndFraction times left parenthesis, cos phi Subscript, 1 , Baseline , sin phi Subscript, 1 , Baseline , right parenthesisp0+b2·cosϕ1,sinϕ1
`\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Dx+Ey+F=0` "p" Subscript, "l" , Baseline equals "p" Subscript, 0 , Baseline plus StartFraction, "a" times left parenthesis, cos phi , sin phi , right parenthesis plus "b" times left parenthesis, cos phi Subscript, 1 , Baseline , sin phi Subscript, 1 , Baseline , right parenthesis Over StartRoot, 2 , EndRoot , EndFraction plus left parenthesis, 0 , .1 9 , right parenthesispl=p0+a·cosϕ,sinϕ+b·cosϕ1,sinϕ12+0,.19
Expression 30: "A" "x" squared plus "B" "x" "y" plus "C" "y" squared plus "D" "x" plus "E" "y" plus "F" equals 0Ax2+Bxy+Cy2+Dx+Ey+F=0
30
`x` left parenthesis, 5 , 0 , right parenthesis5,0
Label:
31
`y` left parenthesis, negative .0 4 , 5 , right parenthesis−.04,5
Label:
32
Hidden Label: "p" Subscript, 0 , Baseline plus left bracket, 1 , negative 1 , right bracket times "c" times left parenthesis, cos phi , sin phi , right parenthesisp0+1,−1·c·cosϕ,sinϕ
Label
equals=
left parenthesis, 4.5 9 9 , 2.7 5 2 , right parenthesis4.599,2.752
left parenthesis, 0.8 6 1 , 1.5 6 , right parenthesis0.861,1.56
33
`\theta` "p" Subscript, 0 , Baseline plus 1.5 5 times left parenthesis, cos .5 phi , sin .5 phi , right parenthesisp0+1.55·cos.5ϕ,sin.5ϕ
Expression 35: "p" Subscript, 0 , Baseline plus 1.5 times left parenthesis, cos "t" phi , sin "t" phi , right parenthesisp0+1.5·costϕ,sintϕ
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: .9.9
35
Expression 36: polygon left parenthesis, "p" Subscript, 0 , Baseline plus "R" left parenthesis, left parenthesis, 1.5 , 0 , right parenthesis plus .0 7 times left bracket, left parenthesis, 0 , 0 , right parenthesis , left parenthesis, 1 , negative 2 , right parenthesis , left parenthesis, negative 1 , negative 2 , right parenthesis , left parenthesis, 0 , 0 , right parenthesis , right bracket , phi , right parenthesis , right parenthesispolygonp0+R1.5,0+.07·0,0,1,−2,−1,−2,0,0,ϕ
36
Expression 37: "R" left parenthesis, "p" , theta , right parenthesis equals left parenthesis, "p" . "x" cos theta minus "p" . "y" sin theta , "p" . "x" sin theta plus "p" . "y" cos theta , right parenthesisRp,θ=p.xcosθ−p.ysinθ,p.xsinθ+p.ycosθ