On extriangles and excevians
This thesis is an exposition of the articles Extriangles and Excevians by Larry Hoehn published in Mathematics Magazine Volume 74, Number 5, 2001 and A Geometric Proof of Heron's Formula by Shannon Umberger found in http://jwilson.coe.uga.edu/EMT668/EMAT6680.2000/Umberger/MATH7200/HeronFormulaP...
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| Main Authors: | , |
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| 格式: | text |
| 語言: | English |
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Animo Repository
2009
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| 在線閱讀: | https://animorepository.dlsu.edu.ph/etd_bachelors/5031 |
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| 機構: | De La Salle University |
| 語言: | English |
| 總結: | This thesis is an exposition of the articles Extriangles and Excevians by Larry Hoehn published in Mathematics Magazine Volume 74, Number 5, 2001 and A Geometric Proof of Heron's Formula by Shannon Umberger found in http://jwilson.coe.uga.edu/EMT668/EMAT6680.2000/Umberger/MATH7200/HeronFormulaProject/GeometricProof/geoproof.htm. The first article extends some concurrency theorems of cevians of triangles to extriangles and the second gives a geometric proof of Heron's Formula. In this thesis elementary geometric proofs of the theorems stated in the articles are provided. Moreover, a geometric proof of the area formula of a triangle in terms of the lengths of its medians using the results on extriangles and excevians is discussed. |
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