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Hi Chris... picture a camera or surveryor's tripod. They use a tripod because the three legs (or the endPOINTS of the three legs, can always rest cleanly on any surface, because thos three points can always find a SINGLE plane.
Three collinear points are like a points along a straw. Hold the straw in any direction (pick any three COLLLINEAR points on it) and then you can tape a piece of construction paper to it. You can SPIN the construction paper about the straw a full 360 degrees. Each different angle of the paper represents one of the INFINITE number of planes that can be aligned through the straw.
in postulate 7 it says there is at least one plane for every 3 points. How can there be more?
ReplyDeleteChris- There can more than 1 plane if the 3 points are collinear.
ReplyDeleteHOW? DESCRIBE IT
ReplyDeleteHi Chris... picture a camera or surveryor's tripod. They use a tripod because the three legs (or the endPOINTS of the three legs, can always rest cleanly on any surface, because thos three points can always find a SINGLE plane.
ReplyDeleteThree collinear points are like a points along a straw. Hold the straw in any direction (pick any three COLLLINEAR points on it) and then you can tape a piece of construction paper to it. You can SPIN the construction paper about the straw a full 360 degrees. Each different angle of the paper represents one of the INFINITE number of planes that can be aligned through the straw.
Ca-peesh?
Mr. C.