Triangles III: Complex triangle functions |
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Authors: | June A Lester |
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Institution: | (1) Department of Mathematics and Statistics, University of New Brunswick, E3B 5A3 Fredericton, New Brunswick, Canada |
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Abstract: | Summary This paper is the third in a series of three examining Euclidean triangle geometry via complex cross ratios. In the first two papers, we looked at triangle shapes and triangle coordinates. In this paper, we look at the triangle coordinates of the special points of a triangle, and show that they are functions of its shape. We then show how these functions can be used to prove theorems about triangles, and to gain some insight into what makes a special point of a triangle a centre. |
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Keywords: | 51M05 51N20 |
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