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105.46 Proximity of the incentre to the excentres and inequality for the circumcevians of the incentre

Published online by Cambridge University Press:  13 October 2021

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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Information
The Mathematical Gazette , Volume 105 , Issue 564 , November 2021 , pp. 529 - 533
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Copyright
© The Mathematical Association 2021

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References

Lukarevski, M., An inequality for the altitudes of the excentral triangle, Math. Gaz. 104 (March 2020) pp. 161-164.CrossRefGoogle Scholar
Leversha, G., The Geometry of the Triangle, UKMT (2013).Google Scholar
Altshiller-Court, N., College Geometry, Barnes & Noble (1952).Google Scholar
Johnson, R., Advanced Euclidean Geometry. Dover (1960).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, Groningen, Wolters-Noordhoff (1969).Google Scholar
Leuenberger, F., Problem E 1573, Amer. Math. Monthly, Vol.71 (1963), 331; solution by L. Carlitz, ibid Vol. 72 (1964) pp. 93-94.CrossRefGoogle Scholar