David Little | ||||||
Mathematics Department Penn State University Eberly College of Science University Park, PA 16802 |
Office: 403 McAllister Phone: (814) 865-3329 Fax: (814) 865-3735 e-mail:dlittle@psu.edu |
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Euler's Line
The centroid (red), orthocenter (blue), circumcenter (green) and incenter (yellow) are all drawn below. Notice that the centroid, orthocenter and circumcenter all lie on a straight line. This line is known as Euler's line. The distance from the orthocenter to the centroid is exactly twice the distance from the centroid to the circumcenter.
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