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106.14 Exarc radii and the Finsler-Hadwiger inequality

Published online by Cambridge University Press:  24 February 2022

Martin Lukarevski
Martin Lukarevski*
Affiliation:
Department of Mathematics and Statistics, University "Goce Delcev" - Stip, North Macedonia e-mail: martin.lukarevski@ugd.edu.mk
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The Mathematical Gazette , Volume 106 , Issue 565 , March 2022 , pp. 138 - 143
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© The Authors, 2022. Published by Cambridge University Press on behalf of The Mathematical Association

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References

Leversha, G., The Geometry of the Triangle, UKMT (2013).Google Scholar
Nesbitt, A. M., Problem 15114, Educational Times 55 (May 1902) p. 233.Google Scholar
Engel, A., Problem-Solving Strategies, Springer-Verlag, New York, (1998).Google Scholar
Lukarevski, M., An alternate proof of Gerretsen's inequalities, Elem. Math. 72, (2017) pp. 2–8.Google Scholar
Lukarevski, M., Exradii of the triangle and Euler's inequality, Math. Gaz. 101 (March 2017) p.123.10.1017/mag.2017.18CrossRefGoogle Scholar
Lukarevski, M., A Simple Proof of Kooi's Inequality, Math. Mag. 93 (3), (2020) p. 225.10.1080/0025570X.2020.1736875CrossRefGoogle Scholar
Lukarevski, M., Marinescu, D. S., A refinement of the Kooi's inequality, Mittenpunkt and applications, J. Inequal. Appl. 13 (3), (2019) pp. 827–832.10.7153/jmi-2019-13-57CrossRefGoogle Scholar
Lukarevski, M., Wanner, G., Mixtilinear radii and Finsler-Hadwiger inequality, Elem. Math. 75 (2020) pp. 121–124.Google Scholar
Finsler, P., Hadwiger, H., Einige Relationen im Dreieck, Commentarii Mathematici Helvetici, 10 (1937) (1), pp. 316–326.Google Scholar
Lukarevski, M., The circummidarc triangle and the Finsler-Hadwiger inequality, Math. Gaz. 104 (July 2020) pp. 335–338.10.1017/mag.2020.63CrossRefGoogle Scholar
Lukarevski, M., The excentral triangle and a curious application to inequalities, Math. Gaz. 102 (November 2018) pp. 531–533.10.1017/mag.2018.134CrossRefGoogle Scholar
Kimberling, C., Encyclopedia of Triangle Centers, URL: http://faculty.evansville.edu/ck6/encyclopedia/ETC.html Google Scholar
Yiu, P., Incircles, Mixtilinear, Amer. Math. Monthly, 106 (10) (Dec., 1999), pp. 952-955.10.1080/00029890.1999.12005146CrossRefGoogle Scholar