A New Analysis of a Plane Geometry, Finite and Differential: With Numerous Examples (Classic Reprint) - Softcover

Thompson, A. W. H.

 
9781332772957: A New Analysis of a Plane Geometry, Finite and Differential: With Numerous Examples (Classic Reprint)

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Excerpt from A New ysis of a Plane Geometry, Finite and Differential<br/><br/>Cases (5) and (7) are reduced in surd form and (6) by means of a point to measures of two elements. Thus we do away with the idea of reference elements. But this brings us to another matter. We know that taking four arbitrary points, there is a relation between the six pairs of measures of two elements. We have also such relations in the case of three points and a line, two points and two lines and in the case of three lines. We have called such relations eliminants, being eliminants of relative position. Suppose we have reduced all our complex measures and noted all our eliminants. The matter of proving a relation between the complex measures reduces to proving the relation between their reductions with the help of the eliminants.

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