Expression 21: "d" Subscript, "i" "s" "t" , Baseline equals StartFraction, negative "d" Subscript, "y" , Baseline times "x" Subscript, 1 , Baseline plus "d" Subscript, "x" , Baseline times "y" Subscript, 1 , Baseline plus "d" Subscript, "y" , Baseline times "o" Subscript, 3 , Baseline minus "d" Subscript, "x" , Baseline times "o" Subscript, 4 , Baseline Over StartRoot, "d" squared plus "d" squared , EndRoot , EndFractiondist=−dy·x1+dx·y1+dy·o3−dx·o4d2x+d2y
equals=
negative 9.2 2 8 7 5 2 9 6 9 8 9−9.22875296989
negative 7.2 6 8 6 1 1 8 7 7 1 5−7.26861187715
negative 3.6 9 6 5 5 1 2 8 1 8 5−3.69655128185
negative 2.5 1 8 5 8 7 5 2 1 5−2.5185875215
negative 4.9 9 0 7 8 4 6 4 5 6 6−4.99078464566
21
Once we have the distance and sign, use unit vectors for the perpendicular line and move the x-coordinates and y-coordinates perpendicular to the line of reflection twice that distance
22
Expression 23: "x" Subscript, 2 , Baseline equals "x" Subscript, 1 , Baseline plus 2 times "d" Subscript, "i" "s" "t" , Baseline times left parenthesis, StartFraction, "d" Subscript, "y" , Baseline Over StartRoot, left parenthesis, "d" squared plus "d" squared , right parenthesis , EndRoot , EndFraction , right parenthesisx2=x1+2·dist·dyd2x+d2y
equals=
12.9 2 2 4 8 2 7 5 8 612.9224827586
11.1 2 0 2 0 6 8 9 6 611.1202068966
7.7 4 5 5 1 7 2 4 1 3 87.74551724138
9.4 5 3 7 2 4 1 3 7 9 39.45372413793
13.5 4 7 5 1 7 2 4 1 413.5475172414
23
Expression 24: "y" Subscript, 2 , Baseline equals "y" Subscript, 1 , Baseline plus 2 times "d" Subscript, "i" "s" "t" , Baseline left parenthesis, StartFraction, negative "d" Subscript, "x" , Baseline Over StartRoot, "d" squared plus "d" squared , EndRoot , EndFraction , right parenthesisy2=y1+2·dist−dxd2x+d2y
equals=
14.7 7 0 2 0 6 8 9 6 614.7702068966
13.7 2 7 5 1 7 2 4 1 413.7275172414
11.9 0 3 7 9 3 1 0 3 411.9037931034
8.9 1 5 3 1 0 3 4 4 8 38.91531034483
8.6 8 9 7 9 3 1 0 3 4 58.68979310345
24
Hidden Label: left parenthesis, "x" Subscript, 2 , Baseline , "y" Subscript, 2 , Baseline , right parenthesisx2,y2
Label
equals=
left parenthesis, 12.9 2 , 14.7 7 , right parenthesis12.92,14.77
left parenthesis, 11.1 2 , 13.7 3 , right parenthesis11.12,13.73
left parenthesis, 7.7 4 6 , 11.9 , right parenthesis7.746,11.9
left parenthesis, 9.4 5 4 , 8.9 1 5 , right parenthesis9.454,8.915
left parenthesis, 13.5 5 , 8.6 9 , right parenthesis13.55,8.69
25
Expression 26: left parenthesis, "x" Subscript, 2 , Baseline left bracket, floor left parenthesis, "a" times "t" , right parenthesis plus 1 , right bracket times mod left parenthesis, "a" times "t" , 1 , right parenthesis plus "x" Subscript, 2 , Baseline left bracket, floor left parenthesis, "a" times "t" , right parenthesis , right bracket times left parenthesis, 1 minus mod left parenthesis, "a" times "t" , 1 , right parenthesis , right parenthesis , "y" Subscript, 2 , Baseline left bracket, floor left parenthesis, "a" times "t" , right parenthesis plus 1 , right bracket times mod left parenthesis, "a" times "t" , 1 , right parenthesis plus "y" Subscript, 2 , Baseline left bracket, floor left parenthesis, "a" times "t" , right parenthesis , right bracket times left parenthesis, 1 minus mod left parenthesis, "a" times "t" , 1 , right parenthesis , right parenthesis , right parenthesisx2floora·t+1·moda·t,1+x2floora·t·1−moda·t,1,y2floora·t+1·moda·t,1+y2floora·t·1−moda·t,1
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
11
domain t Maximum:
26
Expression 27: left parenthesis, "x" Subscript, 2 , Baseline left bracket, 1 , right bracket times mod left parenthesis, "t" , 1 , right parenthesis plus "x" Subscript, 2 , Baseline left bracket, "a" , right bracket times left parenthesis, 1 minus mod left parenthesis, "t" , 1 , right parenthesis , right parenthesis , "y" Subscript, 2 , Baseline left bracket, 1 , right bracket times mod left parenthesis, "t" , 1 , right parenthesis plus "y" Subscript, 2 , Baseline left bracket, "a" , right bracket times left parenthesis, 1 minus mod left parenthesis, "t" , 1 , right parenthesis , right parenthesis , right parenthesisx21·modt,1+x2a·1−modt,1,y21·modt,1+y2a·1−modt,1
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
