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Notes on Perspective Fields

The hidden structure in Triangle Geometry

 

?Some highlights on Perspective Fields
  1. There exists a general linear relationship between triangle points, referred to here as a Perspective Field.
  2. A perspective field can be defined by four points, no three of which lie on a straight line.
  3. Any point within such a field can be specified using perspective coordinates, consisting of three numerical values.
  4. The perspective coordinates of a point X are the weights associated with the first three defining points of the field.
  5. The general coordinates of point X are then given by a weighted average of the general coordinates of the first three defining points.
  6. A similar perspective relationship also exists for triangle points on a line, referred to here as a Perspective Linear Set.



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