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When dealing with this type of questions, it may be helpful to use a point like we did above. We know, there- fore, that the mapping Q. has a fixed point F. From the relation H 2 m H H = M p M q M„M p - / we see that a half-turn is an involution.* * We have here assumed that the operation of combining transforma- tions is associative, that is, that {MpM^(MJtf^l = M„((M,M,)M S ). Hence, we obtain two solutions for P' — the points P t ' and P 2 '. Symmetry - The property of remaining invariant under certain transformations.
Pages: 363
Publisher: Springer (January 20, 1989)
ISBN: 3540193723
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