Stelle die Parameterform der Gerade durch P und Q auf (Wähle einen Richtungsvektor mit möglichst kleinen ganzzahligen Koordinaten!)
Welche Punkte erhält man für t=2, 3, -1?

P(1/4), Q(3/0)	??? X = (-3/2) + t(3/2) (3/6), (6/8), (-6/0) X = (-2/7/5) + t(2/-1/0) (2/5/5), (4/4/5), (-4/8/5) X = (0/0/2) + t(3/4/3) (6/8/8), (9/12/11), (-3/-4/-1) X = (1/3) + t(2/-1) (5/1), (7/0), (-1/4) X = (3/5/-3) + t(3/-2/4) (9/1/5), (12/-1/9), (0/7/-7) X = (1/4) + t(1/-2) (3/0), (4/-2), (0/6)
P(1/3), Q(3/2)	??? X = (-3/2) + t(3/2) (3/6), (6/8), (-6/0) X = (-2/7/5) + t(2/-1/0) (2/5/5), (4/4/5), (-4/8/5) X = (0/0/2) + t(3/4/3) (6/8/8), (9/12/11), (-3/-4/-1) X = (1/3) + t(2/-1) (5/1), (7/0), (-1/4) X = (3/5/-3) + t(3/-2/4) (9/1/5), (12/-1/9), (0/7/-7) X = (1/4) + t(1/-2) (3/0), (4/-2), (0/6)
P(0/0/2), Q(3/4/5)	??? X = (-3/2) + t(3/2) (3/6), (6/8), (-6/0) X = (-2/7/5) + t(2/-1/0) (2/5/5), (4/4/5), (-4/8/5) X = (0/0/2) + t(3/4/3) (6/8/8), (9/12/11), (-3/-4/-1) X = (1/3) + t(2/-1) (5/1), (7/0), (-1/4) X = (3/5/-3) + t(3/-2/4) (9/1/5), (12/-1/9), (0/7/-7) X = (1/4) + t(1/-2) (3/0), (4/-2), (0/6)
P(-2/7/5), Q(4/4/5)	??? X = (-3/2) + t(3/2) (3/6), (6/8), (-6/0) X = (-2/7/5) + t(2/-1/0) (2/5/5), (4/4/5), (-4/8/5) X = (0/0/2) + t(3/4/3) (6/8/8), (9/12/11), (-3/-4/-1) X = (1/3) + t(2/-1) (5/1), (7/0), (-1/4) X = (3/5/-3) + t(3/-2/4) (9/1/5), (12/-1/9), (0/7/-7) X = (1/4) + t(1/-2) (3/0), (4/-2), (0/6)
P(3/5/-3), Q(6/3/1)	??? X = (-3/2) + t(3/2) (3/6), (6/8), (-6/0) X = (-2/7/5) + t(2/-1/0) (2/5/5), (4/4/5), (-4/8/5) X = (0/0/2) + t(3/4/3) (6/8/8), (9/12/11), (-3/-4/-1) X = (1/3) + t(2/-1) (5/1), (7/0), (-1/4) X = (3/5/-3) + t(3/-2/4) (9/1/5), (12/-1/9), (0/7/-7) X = (1/4) + t(1/-2) (3/0), (4/-2), (0/6)
P(-3/2), Q(3/6)	??? X = (-3/2) + t(3/2) (3/6), (6/8), (-6/0) X = (-2/7/5) + t(2/-1/0) (2/5/5), (4/4/5), (-4/8/5) X = (0/0/2) + t(3/4/3) (6/8/8), (9/12/11), (-3/-4/-1) X = (1/3) + t(2/-1) (5/1), (7/0), (-1/4) X = (3/5/-3) + t(3/-2/4) (9/1/5), (12/-1/9), (0/7/-7) X = (1/4) + t(1/-2) (3/0), (4/-2), (0/6)