881. [L1.17. e.] A triangle is inscribed in a fixed conic and its centroid lies on a fixed concentric homothetic conic. Prove that its nine-points circle is orthogonal to a fixed circle.

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881. [L1.17. e.] A triangle is inscribed in a fixed conic and its centroid lies on a fixed concentric homothetic conic. Prove that its nine-points circle is orthogonal to a fixed circle.

Volume 13, Issue 190
E. H. Smart
DOI: https://doi.org/10.1017/S0025557200194239

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881. [L1.17. e.] A triangle is inscribed in a fixed conic and its centroid lies on a fixed concentric homothetic conic. Prove that its nine-points circle is orthogonal to a fixed circle.

Volume 13, Issue 190
E. H. Smart
DOI: https://doi.org/10.1017/S0025557200194239

To save this article to your Google Drive account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you used this feature, you will be asked to authorise Cambridge Core to connect with your Google Drive account. Find out more about saving content to Google Drive.

881. [L1.17. e.] A triangle is inscribed in a fixed conic and its centroid lies on a fixed concentric homothetic conic. Prove that its nine-points circle is orthogonal to a fixed circle.

Volume 13, Issue 190
E. H. Smart
DOI: https://doi.org/10.1017/S0025557200194239

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881. [L1.17. e.] A triangle is inscribed in a fixed conic and its centroid lies on a fixed concentric homothetic conic. Prove that its nine-points circle is orthogonal to a fixed circle.

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