THE USE OF ALGEBRA TO PROOF THE NINE-POINT ELLIPSE CONSTRUCTED BY RIGHT-ANGLED TRIANGLE CONFORMITY OF THE NINE POINT THEORY
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Abstract
This research aims to study and present the proof of the nine-point ellipse theorem which constructed by right-angled triangle by using algebra, and to show incenter, centroid and nine-point center which associated with generalization of the Euler line. The result showed that the nine-point all lie on circumference of the ellipse and incenter, centroid and nine-point center associated with generalization of the Euler line.
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