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My mind is killing itself over this, and I jsut want your opinions on it. The contact point of a circle to a line is a point, and the contact point of a plane (ski) to a cylinder (any rails involving circles. Single barrel, double barrel, large tube, etc.) is a line. A line does not have a determined width, and if it does it is a quadrilateral. Technically speaking, if we slide a circular rail we are not touching it, even if it is multiple barrels wide. If we are are doing switch ups, etc, on the rail, are we just doing them in mid air? Help please.
yeah it's interesting. but the notion that a point has no width is pretty much only in theory right? but yeah it's a tiny little bit of contact area where your ski is on a round rail
If every rail was a perfect circle, then yes. But you also have to take into consideration that skis flex when you slide rails. So the ski will flex and conform to the rail, touching it at more than one point (more points than just the tangent to the rail).
that's another factor to take it. So, if the rail was a perfect circle, and your skis didnt conform to the rail, what would we be doing of a round rail?
but the skis flex and the rails are not perfect. your edges are also dulled and not perfectly straight. the materials are not perfect so they do deform. we dont ski in school, lets keep it that way
well you have to find the dircumcenter and subtract it from principle vector and add it to the vex using the schwarb principle. its really quite simple
If you consider the contact point a line, then you're touching an infinitely thin but still existing line. If you count the likely deformation of the ski and other stuff like that than uhh you're contacting a small yet measurable solid.
if we lived in the land of theoretical quantum physics, then this would be true. but due to the slight, but usually not even microscopic imperfections, nothing physical we have created, let alone a pvc pipe, is an actual circle, nor are skis perfect planes.
well maybe its not two lines where the skies make contact with the rail. Couldn't they technically be planes? Just really narrow planes... Or is that contradicting the whole perfect shapes thing?
this may have been said already but i dont want to read through it all. But if you have both skis on a single barrel rail there is still width because the two lines of contact from your skis create width same way with a double barrel.
if you read at least like the second post down you would have seen its a perfect world scenario. and on that note its like this ---|----|-----. the width of the ski makes the line rather than the length.