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Forum URL: http://www.cut-the-knot.org/cgi-bin/dcforum/forumctk.cgi
Forum Name: This and that
Topic ID: 86
Message ID: 0
#0, reflection in a curve?
Posted by Ian on Feb-01-01 at 08:04 PM
hi, all,

im a 6th form further maths a-level student, and we've done loads about reflecting a line, (point, shape etc.) in a straight line, (eg. y=x), but im intrigued about how to reflect a line in a curve, (eg. y=x^2). i have a theory that you just draw a normal to the curve joining a series of points on the line being reflected, going equidistant to the other side of the curve.

(i hope this makes sense, cos i'm predominantly a mathematician, and can't speak or write properly!)

all the best ian