transformed polygon (rotate, scale, and translate)
7
Expression 8: polygon left parenthesis, "p" plus left parenthesis, "X" Subscript, "r" "o" "t" "a" "t" "e" , Baseline left parenthesis, "P" . "x" , "P" . "y" , "a" , right parenthesis , "Y" Subscript, "r" "o" "t" "a" "t" "e" , Baseline left parenthesis, "P" . "x" , "P" . "y" , "a" , right parenthesis , right parenthesis , right parenthesispolygonp+XrotateP.x,P.y,a,YrotateP.x,P.y,a
8
rotation functions
9
Expression 10: "X" Subscript, "r" "o" "t" "a" "t" "e" , Baseline left parenthesis, "x" , "y" , "a" Subscript, "n" "g" "l" "e" , Baseline , right parenthesis equals "x" cosine left parenthesis, "a" Subscript, "n" "g" "l" "e" , Baseline , right parenthesis minus "y" sine left parenthesis, "a" Subscript, "n" "g" "l" "e" , Baseline , right parenthesisXrotatex,y,angle=xcosangle−ysinangle
10
Expression 11: "Y" Subscript, "r" "o" "t" "a" "t" "e" , Baseline left parenthesis, "x" , "y" , "a" Subscript, "n" "g" "l" "e" , Baseline , right parenthesis equals "x" sine left parenthesis, "a" Subscript, "n" "g" "l" "e" , Baseline , right parenthesis plus "y" cosine left parenthesis, "a" Subscript, "n" "g" "l" "e" , Baseline , right parenthesisYrotatex,y,angle=xsinangle+ycosangle