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104.07 An inequality for the altitudes of the excentral triangle

Published online by Cambridge University Press:  02 March 2020

Martin Lukarevski
Martin Lukarevski
Affiliation:
Department of Mathematics and Statistics, University ”Goce Delcev” - Stip, Macedonia e-mail: martin.lukarevski@ugd.edu.mk
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E-mail address:
martin.lukarevski@ugd.edu.mk
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The Mathematical Gazette , Volume 104 , Issue 559 , March 2020 , pp. 161 - 164
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© Mathematical Association 2020

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References

Leuenberger, F., Problem, E 1573, Amer. Math. Monthly 71 (1963) p. 331; solution by L. Carlitz, ibid. 72 (1964) pp. 93-94.Google Scholar
Lukarevski, M., An inequality arising from the inarc centres of a triangle, Math. Gaz. 103 (November 2019) pp. 538–541.10.1017/mag.2019.125CrossRefGoogle Scholar
Bottema, O., Djordjevic, R. Z., Janic, R. R., Mitrinovic, D. S., Vasic, P. M., Geometric inequalities., Wolters-Noordhoff, Groningen (1969).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
Altshiller-Court, N., College Geometry, Barnes & Noble (1952).Google Scholar
Leversha, G., The geometry of the triangle, UKMT (2013).Google Scholar
Johnson, R., Advanced Euclidean geometry, Dover (1960).Google Scholar
Lukarevski, M., An alternate proof of Gerretsen’s inequalities, Elem. Math. 72 (1) (2017) pp. 2–8.Google Scholar

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