Hidden Label: "R" Subscript, 2 , Baseline equals left parenthesis, cos left parenthesis, StartFraction, "r" plus 2 pi Over 2 , EndFraction , right parenthesis minus 1 , sin left parenthesis, 2 times "r" , right parenthesis , right parenthesisR2=cosr+2π2−1,sin2·r
Label
11
Hidden Label: "Q" equals "P" positive "R" plus left parenthesis, 1 , 2 , right parenthesisQ=P+R+1,2
Label
12
I can also plot the position of the point with the same rotation, but different translation:
13
Hidden Label: "Q" Subscript, 2 , Baseline equals "P" plus "R" Subscript, 2 , Baseline positive left parenthesis, 1 , 2 , right parenthesisQ2=P+R2+1,2
Label
14
Expression 15: left parenthesis, 3 times cos left parenthesis, "t" , right parenthesis minus 10 plus 1 plus cos left parenthesis, StartFraction, "t" Over 2 , EndFraction , right parenthesis minus 1 , 2 minus sin left parenthesis, "t" , right parenthesis plus sin left parenthesis, 2 "t" , right parenthesis , right parenthesis3·cost−10+1+cost2−1,2−sint+sin2t
domain t Minimum: 00
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 1616
15
draw something to move:
16
"x" Subscript, 1 , Baselinex1
"y" Subscript, 1 , Baseliney1
22
33
r1c3:
22
11
r2c3:
33
11
r3c3:
22
33
r4c3:
r5c3:
17
Expression 18: polygon left parenthesis, "x" Subscript, 1 , Baseline , "y" Subscript, 1 , Baseline , right parenthesispolygonx1,y1
18
Expression 19: "f" left parenthesis, "A" , "p" , "x" , "y" , right parenthesis equals left parenthesis, "A" left bracket, 1 , right bracket times "x" plus "A" left bracket, 2 , right bracket times "y" plus "p" . "x" , "A" left bracket, 3 , right bracket times "x" plus "A" left bracket, 4 , right bracket times "y" plus "p" . "y" , right parenthesisfA,p,x,y=A1·x+A2·y+p.x,A3·x+A4·y+p.y
19
Expression 20:
20
Expression 21: "B" equals left bracket, cos left parenthesis, "r" , right parenthesis , negative sin left parenthesis, "r" , right parenthesis , sin left parenthesis, "r" , right parenthesis , cos left parenthesis, "r" , right parenthesis , right bracketB=cosr,−sinr,sinr,cosr
equals=
11
00
00
11
21
Expression 22: polygon left parenthesis, "f" left parenthesis, "B" , "R" , "x" Subscript, 1 , Baseline , "y" Subscript, 1 , Baseline , right parenthesis , right parenthesispolygonfB,R,x1,y1