quote:
Originally posted by rwh
quote:Originally posted by hcw
All the "plane" discussions recently got me to thinking. If I recall my geometry correctly, it takes three noncolinear points to define a plane. What three points define HK's various planes (ie turned-shoulder, elbow, etc.) in TGM? Thanks in advance!
-hcw
PS-I've looked in the book, but couldn't find them.
In Plane Geometry, planes have no mass -- they are shapes in space.
The "three points" you refer to don't necessarily define the shape of the plane. You can have planes that are shaped like rectangles, circles, squares, triangles or any shape.
However, in plane geometry a plane is identified ("defined") by any three "coplanar" points -- i.e., three points that are lying on that plane. Thus, you can have three points -- A, B, and C -- on a large circle-shaped plane. A line connecting those three points would describe a triangle -- but those three points would still identify the plane (as would any other three points on the same plane).
For example, you could describe a street as Mr. Brown's street or, his neighbor, Mr. Green's street. That would identify the street, but wouldn't tell you the shape of the street.
Most people think of The Golfing Machine plane as a huge rectangle -- and, it could be. It could also be a large circle, square, etc. Mr. Kelley never described the shape of the plane -- he only said that it had to be larger than the cirucumference of the club being swung (2-F).