Abstract
The Fagnano’s problem is a famous historical problem in plane geometry, which involves finding an inscribed triangle with minimal perimeter in a given acute triangle. We discuss how to solve this problem via a dynamic geometry approach and derive a simple formula for finding the perimeter of the orthic triangle, which is the solution of the Fagnano’s problem. Some illustrative examples are included.
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Acknowledgements
This article is a revised version of the paper presented orally by the author at the International Multi-Conference of Engineers and Computer Scientists (IMECS 2017) held on 15–17 March 2017 at Hong Kong [12].
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Man, YK. (2018). Solving the Fagnano’s Problem via a Dynamic Geometry Approach. In: Ao, SI., Kim, H., Castillo, O., Chan, AS., Katagiri, H. (eds) Transactions on Engineering Technologies. IMECS 2017. Springer, Singapore. https://doi.org/10.1007/978-981-10-7488-2_18
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DOI: https://doi.org/10.1007/978-981-10-7488-2_18
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