- #36
wofsy
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ramsey2879 said:That would be the solved by use of the 1st axiom of construction which is that a line can be drawn between two points, same as to draw a perpendicular bisecter, but you already knew that and was just testing me I think. So constructing a line in effect is to draw non arbitary points on a line by connecting points using a compass and a straight edge all on a single plane. The radius of the compass would always be a distance between the original two points, between constructed points (points of intersection) or a combination thereof. I think you gave a very good rundown of this problem already.
I was not testing you. If I use a compass to create the perpendicular bisector, how do I get the midpoint of the original line if a line is just two points as in Hurky's model? Also I don't think there is an idea of angle yet and the idea that the new line is perpendicular to the first would seem to be replaced by some symmetry idea. Not sure how to so this.