3D Projection Matrix

Expression 20: "G" Subscript, "r" "o" "t" "X" "z" , Baseline left parenthesis, "A" Subscript, "a" "a" "x" , Baseline , "A" Subscript, "a" "a" "y" , Baseline , "A" Subscript, "a" "a" "z" , Baseline , right parenthesis equals cosine left parenthesis, "G" Subscript, "a" "x" , Baseline , right parenthesis "A" Subscript, "a" "a" "z" , Baseline plus sine left parenthesis, "G" Subscript, "a" "x" , Baseline , right parenthesis "A" Subscript, "a" "a" "y" , Baseline

Expression 21: "G" Subscript, "r" "o" "t" "Y" "x" , Baseline left parenthesis, "A" Subscript, "a" "a" "x" , Baseline , "A" Subscript, "a" "a" "y" , Baseline , "A" Subscript, "a" "a" "z" , Baseline , right parenthesis equals negative sine left parenthesis, "G" Subscript, "a" "y" , Baseline , right parenthesis "A" Subscript, "a" "a" "z" , Baseline plus cosine left parenthesis, "G" Subscript, "a" "y" , Baseline , right parenthesis "A" Subscript, "a" "a" "x" , Baseline

Expression 22: "G" Subscript, "r" "o" "t" "Y" "y" , Baseline left parenthesis, "A" Subscript, "a" "a" "x" , Baseline , "A" Subscript, "a" "a" "y" , Baseline , "A" Subscript, "a" "a" "z" , Baseline , right parenthesis equals "A" Subscript, "a" "a" "y" , Baseline

Expression 23: "G" Subscript, "r" "o" "t" "Y" "z" , Baseline left parenthesis, "A" Subscript, "a" "a" "x" , Baseline , "A" Subscript, "a" "a" "y" , Baseline , "A" Subscript, "a" "a" "z" , Baseline , right parenthesis equals cosine left parenthesis, "G" Subscript, "a" "y" , Baseline , right parenthesis "A" Subscript, "a" "a" "z" , Baseline plus sine left parenthesis, "G" Subscript, "a" "y" , Baseline , right parenthesis "A" Subscript, "a" "a" "x" , Baseline

Expression 24: "G" Subscript, "p" "r" "o" "j" "x" , Baseline left parenthesis, "A" Subscript, "a" "a" "x" , Baseline , "A" Subscript, "a" "a" "y" , Baseline , "A" Subscript, "a" "a" "z" , Baseline , right parenthesis equals "G" Subscript, "d" , Baseline times StartFraction, "G" Subscript, "r" "o" "t" "x" , Baseline left parenthesis, "A" Subscript, "a" "a" "x" , Baseline , "A" Subscript, "a" "a" "y" , Baseline , "A" Subscript, "a" "a" "z" , Baseline , right parenthesis Over "G" Subscript, "r" "o" "t" "z" , Baseline left parenthesis, "A" Subscript, "a" "a" "x" , Baseline , "A" Subscript, "a" "a" "y" , Baseline , "A" Subscript, "a" "a" "z" , Baseline , right parenthesis plus "Z" Subscript, "o" "f" "f" "s" "e" "t" , Baseline , EndFraction

Expression 25: "G" Subscript, "p" "r" "o" "j" "y" , Baseline left parenthesis, "A" Subscript, "a" "a" "x" , Baseline , "A" Subscript, "a" "a" "y" , Baseline , "A" Subscript, "a" "a" "z" , Baseline , right parenthesis equals "G" Subscript, "d" , Baseline times StartFraction, "G" Subscript, "r" "o" "t" "y" , Baseline left parenthesis, "A" Subscript, "a" "a" "x" , Baseline , "A" Subscript, "a" "a" "y" , Baseline , "A" Subscript, "a" "a" "z" , Baseline , right parenthesis Over "G" Subscript, "r" "o" "t" "z" , Baseline left parenthesis, "A" Subscript, "a" "a" "x" , Baseline , "A" Subscript, "a" "a" "y" , Baseline , "A" Subscript, "a" "a" "z" , Baseline , right parenthesis plus "Z" Subscript, "o" "f" "f" "s" "e" "t" , Baseline , EndFraction

Expression 26: "G" Subscript, "p" "r" "o" "j" "z" , Baseline left parenthesis, "A" Subscript, "a" "a" "x" , Baseline , "A" Subscript, "a" "a" "y" , Baseline , "A" Subscript, "a" "a" "z" , Baseline , right parenthesis equals "G" Subscript, "r" "o" "t" "Y" "z" , Baseline left parenthesis, "G" Subscript, "r" "o" "t" "X" "x" , Baseline left parenthesis, "G" Subscript, "r" "o" "t" "Z" "x" , Baseline left parenthesis, "A" Subscript, "a" "a" "x" , Baseline , "A" Subscript, "a" "a" "y" , Baseline , "A" Subscript, "a" "a" "z" , Baseline , right parenthesis , "G" Subscript, "r" "o" "t" "Z" "y" , Baseline left parenthesis, "A" Subscript, "a" "a" "x" , Baseline , "A" Subscript, "a" "a" "y" , Baseline , "A" Subscript, "a" "a" "z" , Baseline , right parenthesis , "G" Subscript, "r" "o" "t" "Z" "z" , Baseline left parenthesis, "A" Subscript, "a" "a" "x" , Baseline , "A" Subscript, "a" "a" "y" , Baseline , "A" Subscript, "a" "a" "z" , Baseline , right parenthesis , right parenthesis , "G" Subscript, "r" "o" "t" "X" "y" , Baseline left parenthesis, "G" Subscript, "r" "o" "t" "Z" "x" , Baseline left parenthesis, "A" Subscript, "a" "a" "x" , Baseline , "A" Subscript, "a" "a" "y" , Baseline , "A" Subscript, "a" "a" "z" , Baseline , right parenthesis , "G" Subscript, "r" "o" "t" "Z" "y" , Baseline left parenthesis, "A" Subscript, "a" "a" "x" , Baseline , "A" Subscript, "a" "a" "y" , Baseline , "A" Subscript, "a" "a" "z" , Baseline , right parenthesis , "G" Subscript, "r" "o" "t" "Z" "z" , Baseline left parenthesis, "A" Subscript, "a" "a" "x" , Baseline , "A" Subscript, "a" "a" "y" , Baseline , "A" Subscript, "a" "a" "z" , Baseline , right parenthesis , right parenthesis , "G" Subscript, "r" "o" "t" "X" "z" , Baseline left parenthesis, "G" Subscript, "r" "o" "t" "Z" "x" , Baseline left parenthesis, "A" Subscript, "a" "a" "x" , Baseline , "A" Subscript, "a" "a" "y" , Baseline , "A" Subscript, "a" "a" "z" , Baseline , right parenthesis , "G" Subscript, "r" "o" "t" "Z" "y" , Baseline left parenthesis, "A" Subscript, "a" "a" "x" , Baseline , "A" Subscript, "a" "a" "y" , Baseline , "A" Subscript, "a" "a" "z" , Baseline , right parenthesis , "G" Subscript, "r" "o" "t" "Z" "z" , Baseline left parenthesis, "A" Subscript, "a" "a" "x" , Baseline , "A" Subscript, "a" "a" "y" , Baseline , "A" Subscript, "a" "a" "z" , Baseline , right parenthesis , right parenthesis , right parenthesis

Hidden Label: left parenthesis, "G" Subscript, "p" "r" "o" "j" "x" , Baseline left parenthesis, "X" , "Y" , "Z" , right parenthesis , "G" Subscript, "p" "r" "o" "j" "y" , Baseline left parenthesis, "X" , "Y" , "Z" , right parenthesis , right parenthesis

Label

equals

left parenthesis, 0 , 0 , right parenthesis

Expression 29: "G" Subscript, "r" "o" "t" "y" , Baseline left parenthesis, "A" Subscript, "a" "a" "x" , Baseline , "A" Subscript, "a" "a" "y" , Baseline , "A" Subscript, "a" "a" "z" , Baseline , right parenthesis equals "G" Subscript, "r" "o" "t" "Y" "y" , Baseline left parenthesis, "G" Subscript, "r" "o" "t" "X" "x" , Baseline left parenthesis, "G" Subscript, "r" "o" "t" "Z" "x" , Baseline left parenthesis, "A" Subscript, "a" "a" "x" , Baseline , "A" Subscript, "a" "a" "y" , Baseline , "A" Subscript, "a" "a" "z" , Baseline , right parenthesis , "G" Subscript, "r" "o" "t" "Z" "y" , Baseline left parenthesis, "A" Subscript, "a" "a" "x" , Baseline , "A" Subscript, "a" "a" "y" , Baseline , "A" Subscript, "a" "a" "z" , Baseline , right parenthesis , "G" Subscript, "r" "o" "t" "Z" "z" , Baseline left parenthesis, "A" Subscript, "a" "a" "x" , Baseline , "A" Subscript, "a" "a" "y" , Baseline , "A" Subscript, "a" "a" "z" , Baseline , right parenthesis , right parenthesis , "G" Subscript, "r" "o" "t" "X" "y" , Baseline left parenthesis, "G" Subscript, "r" "o" "t" "Z" "x" , Baseline left parenthesis, "A" Subscript, "a" "a" "x" , Baseline , "A" Subscript, "a" "a" "y" , Baseline , "A" Subscript, "a" "a" "z" , Baseline , right parenthesis , "G" Subscript, "r" "o" "t" "Z" "y" , Baseline left parenthesis, "A" Subscript, "a" "a" "x" , Baseline , "A" Subscript, "a" "a" "y" , Baseline , "A" Subscript, "a" "a" "z" , Baseline , right parenthesis , "G" Subscript, "r" "o" "t" "Z" "z" , Baseline left parenthesis, "A" Subscript, "a" "a" "x" , Baseline , "A" Subscript, "a" "a" "y" , Baseline , "A" Subscript, "a" "a" "z" , Baseline , right parenthesis , right parenthesis , "G" Subscript, "r" "o" "t" "X" "z" , Baseline left parenthesis, "G" Subscript, "r" "o" "t" "Z" "x" , Baseline left parenthesis, "A" Subscript, "a" "a" "x" , Baseline , "A" Subscript, "a" "a" "y" , Baseline , "A" Subscript, "a" "a" "z" , Baseline , right parenthesis , "G" Subscript, "r" "o" "t" "Z" "y" , Baseline left parenthesis, "A" Subscript, "a" "a" "x" , Baseline , "A" Subscript, "a" "a" "y" , Baseline , "A" Subscript, "a" "a" "z" , Baseline , right parenthesis , "G" Subscript, "r" "o" "t" "Z" "z" , Baseline left parenthesis, "A" Subscript, "a" "a" "x" , Baseline , "A" Subscript, "a" "a" "y" , Baseline , "A" Subscript, "a" "a" "z" , Baseline , right parenthesis , right parenthesis , right parenthesis

Expression 30: "G" Subscript, "r" "o" "t" "x" , Baseline left parenthesis, "A" Subscript, "a" "a" "x" , Baseline , "A" Subscript, "a" "a" "y" , Baseline , "A" Subscript, "a" "a" "z" , Baseline , right parenthesis equals "G" Subscript, "r" "o" "t" "Y" "x" , Baseline left parenthesis, "G" Subscript, "r" "o" "t" "X" "x" , Baseline left parenthesis, "G" Subscript, "r" "o" "t" "Z" "x" , Baseline left parenthesis, "A" Subscript, "a" "a" "x" , Baseline , "A" Subscript, "a" "a" "y" , Baseline , "A" Subscript, "a" "a" "z" , Baseline , right parenthesis , "G" Subscript, "r" "o" "t" "Z" "y" , Baseline left parenthesis, "A" Subscript, "a" "a" "x" , Baseline , "A" Subscript, "a" "a" "y" , Baseline , "A" Subscript, "a" "a" "z" , Baseline , right parenthesis , "G" Subscript, "r" "o" "t" "Z" "z" , Baseline left parenthesis, "A" Subscript, "a" "a" "x" , Baseline , "A" Subscript, "a" "a" "y" , Baseline , "A" Subscript, "a" "a" "z" , Baseline , right parenthesis , right parenthesis , "G" Subscript, "r" "o" "t" "X" "y" , Baseline left parenthesis, "G" Subscript, "r" "o" "t" "Z" "x" , Baseline left parenthesis, "A" Subscript, "a" "a" "x" , Baseline , "A" Subscript, "a" "a" "y" , Baseline , "A" Subscript, "a" "a" "z" , Baseline , right parenthesis , "G" Subscript, "r" "o" "t" "Z" "y" , Baseline left parenthesis, "A" Subscript, "a" "a" "x" , Baseline , "A" Subscript, "a" "a" "y" , Baseline , "A" Subscript, "a" "a" "z" , Baseline , right parenthesis , "G" Subscript, "r" "o" "t" "Z" "z" , Baseline left parenthesis, "A" Subscript, "a" "a" "x" , Baseline , "A" Subscript, "a" "a" "y" , Baseline , "A" Subscript, "a" "a" "z" , Baseline , right parenthesis , right parenthesis , "G" Subscript, "r" "o" "t" "X" "z" , Baseline left parenthesis, "G" Subscript, "r" "o" "t" "Z" "x" , Baseline left parenthesis, "A" Subscript, "a" "a" "x" , Baseline , "A" Subscript, "a" "a" "y" , Baseline , "A" Subscript, "a" "a" "z" , Baseline , right parenthesis , "G" Subscript, "r" "o" "t" "Z" "y" , Baseline left parenthesis, "A" Subscript, "a" "a" "x" , Baseline , "A" Subscript, "a" "a" "y" , Baseline , "A" Subscript, "a" "a" "z" , Baseline , right parenthesis , "G" Subscript, "r" "o" "t" "Z" "z" , Baseline left parenthesis, "A" Subscript, "a" "a" "x" , Baseline , "A" Subscript, "a" "a" "y" , Baseline , "A" Subscript, "a" "a" "z" , Baseline , right parenthesis , right parenthesis , right parenthesis

Expression 31: "G" Subscript, "r" "o" "t" "z" , Baseline left parenthesis, "A" Subscript, "a" "a" "x" , Baseline , "A" Subscript, "a" "a" "y" , Baseline , "A" Subscript, "a" "a" "z" , Baseline , right parenthesis equals "G" Subscript, "r" "o" "t" "Y" "z" , Baseline left parenthesis, "G" Subscript, "r" "o" "t" "X" "x" , Baseline left parenthesis, "G" Subscript, "r" "o" "t" "Z" "x" , Baseline left parenthesis, "A" Subscript, "a" "a" "x" , Baseline , "A" Subscript, "a" "a" "y" , Baseline , "A" Subscript, "a" "a" "z" , Baseline , right parenthesis , "G" Subscript, "r" "o" "t" "Z" "y" , Baseline left parenthesis, "A" Subscript, "a" "a" "x" , Baseline , "A" Subscript, "a" "a" "y" , Baseline , "A" Subscript, "a" "a" "z" , Baseline , right parenthesis , "G" Subscript, "r" "o" "t" "Z" "z" , Baseline left parenthesis, "A" Subscript, "a" "a" "x" , Baseline , "A" Subscript, "a" "a" "y" , Baseline , "A" Subscript, "a" "a" "z" , Baseline , right parenthesis , right parenthesis , "G" Subscript, "r" "o" "t" "X" "y" , Baseline left parenthesis, "G" Subscript, "r" "o" "t" "Z" "x" , Baseline left parenthesis, "A" Subscript, "a" "a" "x" , Baseline , "A" Subscript, "a" "a" "y" , Baseline , "A" Subscript, "a" "a" "z" , Baseline , right parenthesis , "G" Subscript, "r" "o" "t" "Z" "y" , Baseline left parenthesis, "A" Subscript, "a" "a" "x" , Baseline , "A" Subscript, "a" "a" "y" , Baseline , "A" Subscript, "a" "a" "z" , Baseline , right parenthesis , "G" Subscript, "r" "o" "t" "Z" "z" , Baseline left parenthesis, "A" Subscript, "a" "a" "x" , Baseline , "A" Subscript, "a" "a" "y" , Baseline , "A" Subscript, "a" "a" "z" , Baseline , right parenthesis , right parenthesis , "G" Subscript, "r" "o" "t" "X" "z" , Baseline left parenthesis, "G" Subscript, "r" "o" "t" "Z" "x" , Baseline left parenthesis, "A" Subscript, "a" "a" "x" , Baseline , "A" Subscript, "a" "a" "y" , Baseline , "A" Subscript, "a" "a" "z" , Baseline , right parenthesis , "G" Subscript, "r" "o" "t" "Z" "y" , Baseline left parenthesis, "A" Subscript, "a" "a" "x" , Baseline , "A" Subscript, "a" "a" "y" , Baseline , "A" Subscript, "a" "a" "z" , Baseline , right parenthesis , "G" Subscript, "r" "o" "t" "Z" "z" , Baseline left parenthesis, "A" Subscript, "a" "a" "x" , Baseline , "A" Subscript, "a" "a" "y" , Baseline , "A" Subscript, "a" "a" "z" , Baseline , right parenthesis , right parenthesis , right parenthesis

Expression 32: "M" Subscript, 11 , Baseline equals 1

negative 10

Expression 33: "M" Subscript, 12 , Baseline equals 1

negative 10

Expression 34: "M" Subscript, 13 , Baseline

Expression 35:

"x"	"y"
"G" Subscript, "p" "r" "o" "j" "x" , Baseline left parenthesis, "X" minus 1 , "Y" minus 1 , "Z" minus 1 , right parenthesis	"G" Subscript, "p" "r" "o" "j" "y" , Baseline left parenthesis, "X" minus 1 , "Y" minus 1 , "Z" minus 1 , right parenthesis	r1c3:
"G" Subscript, "p" "r" "o" "j" "x" , Baseline left parenthesis, "X" plus 1 , "Y" minus 1 , "Z" minus 1 , right parenthesis	"G" Subscript, "p" "r" "o" "j" "y" , Baseline left parenthesis, "X" plus 1 , "Y" minus 1 , "Z" minus 1 , right parenthesis	r2c3:
"G" Subscript, "p" "r" "o" "j" "x" , Baseline left parenthesis, "X" plus 1 , "Y" plus 1 , "Z" minus 1 , right parenthesis	"G" Subscript, "p" "r" "o" "j" "y" , Baseline left parenthesis, "X" plus 1 , "Y" plus 1 , "Z" minus 1 , right parenthesis	r3c3:
"G" Subscript, "p" "r" "o" "j" "x" , Baseline left parenthesis, "X" minus 1 , "Y" plus 1 , "Z" minus 1 , right parenthesis	"G" Subscript, "p" "r" "o" "j" "y" , Baseline left parenthesis, "X" minus 1 , "Y" plus 1 , "Z" minus 1 , right parenthesis	r4c3:
"G" Subscript, "p" "r" "o" "j" "x" , Baseline left parenthesis, "X" minus 1 , "Y" minus 1 , "Z" minus 1 , right parenthesis	"G" Subscript, "p" "r" "o" "j" "y" , Baseline left parenthesis, "X" minus 1 , "Y" minus 1 , "Z" minus 1 , right parenthesis	r5c3:
"G" Subscript, "p" "r" "o" "j" "x" , Baseline left parenthesis, "X" plus 1 , "Y" minus 1 , "Z" minus 1 , right parenthesis	"G" Subscript, "p" "r" "o" "j" "y" , Baseline left parenthesis, "X" plus 1 , "Y" minus 1 , "Z" minus 1 , right parenthesis	r6c3:
"G" Subscript, "p" "r" "o" "j" "x" , Baseline left parenthesis, "X" plus 1 , "Y" minus 1 , "Z" plus 1 , right parenthesis	"G" Subscript, "p" "r" "o" "j" "y" , Baseline left parenthesis, "X" plus 1 , "Y" minus 1 , "Z" plus 1 , right parenthesis	r7c3:
"G" Subscript, "p" "r" "o" "j" "x" , Baseline left parenthesis, "X" minus 1 , "Y" minus 1 , "Z" plus 1 , right parenthesis	"G" Subscript, "p" "r" "o" "j" "y" , Baseline left parenthesis, "X" minus 1 , "Y" minus 1 , "Z" plus 1 , right parenthesis	r8c3:
"G" Subscript, "p" "r" "o" "j" "x" , Baseline left parenthesis, "X" minus 1 , "Y" minus 1 , "Z" minus 1 , right parenthesis	"G" Subscript, "p" "r" "o" "j" "y" , Baseline left parenthesis, "X" minus 1 , "Y" minus 1 , "Z" minus 1 , right parenthesis	r9c3:
"G" Subscript, "p" "r" "o" "j" "x" , Baseline left parenthesis, "X" minus 1 , "Y" minus 1 , "Z" minus 1 , right parenthesis	"G" Subscript, "p" "r" "o" "j" "y" , Baseline left parenthesis, "X" minus 1 , "Y" minus 1 , "Z" minus 1 , right parenthesis	r10c3:
"G" Subscript, "p" "r" "o" "j" "x" , Baseline left parenthesis, "X" minus 1 , "Y" plus 1 , "Z" minus 1 , right parenthesis	"G" Subscript, "p" "r" "o" "j" "y" , Baseline left parenthesis, "X" minus 1 , "Y" plus 1 , "Z" minus 1 , right parenthesis	r11c3:
"G" Subscript, "p" "r" "o" "j" "x" , Baseline left parenthesis, "X" minus 1 , "Y" plus 1 , "Z" plus 1 , right parenthesis	"G" Subscript, "p" "r" "o" "j" "y" , Baseline left parenthesis, "X" minus 1 , "Y" plus 1 , "Z" plus 1 , right parenthesis	r12c3:
"G" Subscript, "p" "r" "o" "j" "x" , Baseline left parenthesis, "X" minus 1 , "Y" minus 1 , "Z" plus 1 , right parenthesis	"G" Subscript, "p" "r" "o" "j" "y" , Baseline left parenthesis, "X" minus 1 , "Y" minus 1 , "Z" plus 1 , right parenthesis	r13c3:
"G" Subscript, "p" "r" "o" "j" "x" , Baseline left parenthesis, "X" plus 1 , "Y" minus 1 , "Z" plus 1 , right parenthesis	"G" Subscript, "p" "r" "o" "j" "y" , Baseline left parenthesis, "X" plus 1 , "Y" minus 1 , "Z" plus 1 , right parenthesis	r14c3:
"G" Subscript, "p" "r" "o" "j" "x" , Baseline left parenthesis, "X" plus 1 , "Y" plus 1 , "Z" plus 1 , right parenthesis	"G" Subscript, "p" "r" "o" "j" "y" , Baseline left parenthesis, "X" plus 1 , "Y" plus 1 , "Z" plus 1 , right parenthesis	r15c3:
"G" Subscript, "p" "r" "o" "j" "x" , Baseline left parenthesis, "X" minus 1 , "Y" plus 1 , "Z" plus 1 , right parenthesis	"G" Subscript, "p" "r" "o" "j" "y" , Baseline left parenthesis, "X" minus 1 , "Y" plus 1 , "Z" plus 1 , right parenthesis	r16c3:
"G" Subscript, "p" "r" "o" "j" "x" , Baseline left parenthesis, "X" minus 1 , "Y" plus 1 , "Z" minus 1 , right parenthesis	"G" Subscript, "p" "r" "o" "j" "y" , Baseline left parenthesis, "X" minus 1 , "Y" plus 1 , "Z" minus 1 , right parenthesis	r17c3:
"G" Subscript, "p" "r" "o" "j" "x" , Baseline left parenthesis, "X" plus 1 , "Y" plus 1 , "Z" minus 1 , right parenthesis	"G" Subscript, "p" "r" "o" "j" "y" , Baseline left parenthesis, "X" plus 1 , "Y" plus 1 , "Z" minus 1 , right parenthesis	r18c3:
"G" Subscript, "p" "r" "o" "j" "x" , Baseline left parenthesis, "X" plus 1 , "Y" plus 1 , "Z" plus 1 , right parenthesis	"G" Subscript, "p" "r" "o" "j" "y" , Baseline left parenthesis, "X" plus 1 , "Y" plus 1 , "Z" plus 1 , right parenthesis	r19c3:
"G" Subscript, "p" "r" "o" "j" "x" , Baseline left parenthesis, "X" minus 1 , "Y" plus 1 , "Z" plus 1 , right parenthesis	"G" Subscript, "p" "r" "o" "j" "y" , Baseline left parenthesis, "X" minus 1 , "Y" plus 1 , "Z" plus 1 , right parenthesis	r20c3:
		r21c3: